TSTP Solution File: SWW318+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW318+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 : n032.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 14:40:22 EDT 2024
% Result : Theorem 28.96s 29.16s
% Output : Proof 29.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWW318+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.29 % CPULimit : 300
% 0.13/0.29 % WCLimit : 300
% 0.13/0.29 % DateTime : Thu Mar 21 01:58:40 EDT 2024
% 0.13/0.29 % CPUTime :
% 28.96/29.16 % SZS status Theorem for theBenchmark
% 28.96/29.16 % SZS output start Proof for theBenchmark
% 28.96/29.16
% 28.96/29.16 % Formula: fact_ext ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_empty ( axiom ) converted to clauses:
% 28.96/29.16 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))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 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))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_triple_Oinject ( axiom ) converted to clauses:
% 28.96/29.16 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) )).
% 28.96/29.16 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) )).
% 28.96/29.16 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) )).
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_cut ( axiom ) converted to clauses:
% 28.96/29.16 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) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_BodyN ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_BodyN-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u36), _u37), hAPP(c_Com_Ocom_OBODY, _u38)), _u39)), _u40), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u36), _u37), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u38))), _u39)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u36), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u40, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u36), _u37), hAPP(c_Com_Ocom_OBODY, _u38)), _u39)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u36), tc_HOL_Obool)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_triple_Orecs ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_triple_Orecs-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u41, _u42, _u43, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u41), _u44), _u45), _u46)) = hAPP(hAPP(hAPP(_u43, _u44), _u45), _u46)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_triple_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_triple_Osimps_I2_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u47, _u48, _u49, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u47), _u50), _u51), _u52)) = hAPP(hAPP(hAPP(_u49, _u50), _u51), _u52)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u53, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u53), _u54), _u55)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u56), _u57), _u58) != c_Orderings_Obot__class_Obot(tc_fun(_u56, tc_HOL_Obool))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u66 = _u70) | ( _u66 = _u72) )).
% 28.96/29.16 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u66 = _u70) | ( _u68 = _u70) )).
% 28.96/29.16 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u68 = _u72) | ( _u66 = _u72) )).
% 28.96/29.16 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u68 = _u72) | ( _u68 = _u70) )).
% 28.96/29.16 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u65), _u67), hAPP(hAPP(c_Set_Oinsert(_u65), _u69), c_Orderings_Obot__class_Obot(tc_fun(_u65, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u65), _u71), hAPP(hAPP(c_Set_Oinsert(_u65), _u73), c_Orderings_Obot__class_Obot(tc_fun(_u65, tc_HOL_Obool))))) | ( _u67 != _u71) | ( _u69 != _u73) )).
% 28.96/29.16 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u65), _u67), hAPP(hAPP(c_Set_Oinsert(_u65), _u69), c_Orderings_Obot__class_Obot(tc_fun(_u65, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u65), _u71), hAPP(hAPP(c_Set_Oinsert(_u65), _u73), c_Orderings_Obot__class_Obot(tc_fun(_u65, tc_HOL_Obool))))) | ( _u67 != _u73) | ( _u69 != _u71) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_singleton__inject-1, axiom, ( ( _u75 = _u76) | ( hAPP(hAPP(c_Set_Oinsert(_u74), _u75), c_Orderings_Obot__class_Obot(tc_fun(_u74, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u74), _u76), c_Orderings_Obot__class_Obot(tc_fun(_u74, tc_HOL_Obool)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u77) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u78, _u77)), _u79) = c_Orderings_Obot__class_Obot(_u77)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_hoare__derivs_OSkip ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_hoare__derivs_OSkip-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u80, _u81, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u80)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u80), _u82), c_Com_Ocom_OSKIP), _u82)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u80), tc_HOL_Obool)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_hoare__derivs_Oequations_I7_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_hoare__derivs_Oequations_I7_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u83, _u84, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u83)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u83), _u85), c_Com_Ocom_OSKIP), _u85)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u83), tc_HOL_Obool)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_conseq2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_conseq2-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u88, _u89, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u88)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u88), _u90), _u91), _u92)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u88), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u88, _u89, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u88)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u88), _u90), _u91), _u93)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u88), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u92, skolem2(_u93, _u92, _u91, _u90, _u89, _u88)), skolem3(_u93, _u92, _u91, _u90, _u89, _u88))) )).
% 28.96/29.16 cnf(fact_conseq2-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u88, _u89, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u88)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u88), _u90), _u91), _u92)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u88), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u88, _u89, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u88)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u88), _u90), _u91), _u93)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u88), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u93, skolem2(_u93, _u92, _u91, _u90, _u89, _u88)), skolem3(_u93, _u92, _u91, _u90, _u89, _u88))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_conseq1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_conseq1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u96, _u97, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u96)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u96), _u98), _u99), _u100)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u96), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u96, _u97, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u96)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u96), _u101), _u99), _u100)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u96), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u101, skolem4(_u101, _u100, _u99, _u98, _u97, _u96)), skolem5(_u101, _u100, _u99, _u98, _u97, _u96))) )).
% 28.96/29.16 cnf(fact_conseq1-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u96, _u97, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u96)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u96), _u98), _u99), _u100)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u96), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u96, _u97, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u96)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u96), _u101), _u99), _u100)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u96), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u98, skolem4(_u101, _u100, _u99, _u98, _u97, _u96)), skolem5(_u101, _u100, _u99, _u98, _u97, _u96))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Comp ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Comp-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u102, _u103, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u102)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u102), _u104), _u105), _u106)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u102), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u102, _u103, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u102)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u102), _u106), _u107), _u108)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u102), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u102, _u103, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u102)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u102), _u104), c_Com_Ocom_OSemi(_u105, _u107)), _u108)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u102), tc_HOL_Obool)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_insert__code-1, axiom, ( ( _u115 = _u119) | hBOOL(hAPP(_u117, _u119)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u113), _u115), _u117), _u119)) )).
% 28.96/29.16 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u114), _u116), _u118), _u120)) | ( _u116 != _u120) )).
% 28.96/29.16 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u114), _u116), _u118), _u120)) | ~hBOOL(hAPP(_u118, _u120)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u121), _u122), hAPP(hAPP(c_Set_Oinsert(_u121), _u123), _u124)) = hAPP(hAPP(c_Set_Oinsert(_u121), _u123), hAPP(hAPP(c_Set_Oinsert(_u121), _u122), _u124))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u125), _u126), hAPP(hAPP(c_Set_Oinsert(_u125), _u126), _u127)) = hAPP(hAPP(c_Set_Oinsert(_u125), _u126), _u127)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u128, hAPP(hAPP(c_Set_Oinsert(_u128), _u129), c_Orderings_Obot__class_Obot(tc_fun(_u128, tc_HOL_Obool)))) = _u129) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I12_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I12_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u130, _u131)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I13_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I13_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u132, _u133) != c_Com_Ocom_OSKIP) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I19_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I19_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u134) != c_Com_Ocom_OSKIP) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I18_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I18_J-1, axiom, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u135)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I48_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I48_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u136, _u137) != hAPP(c_Com_Ocom_OBODY, _u138)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I49_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I49_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u139) != c_Com_Ocom_OSemi(_u140, _u141)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I3_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I3_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u146, _u148) != c_Com_Ocom_OSemi(_u150, _u152)) | ( _u146 = _u150) )).
% 28.96/29.16 cnf(fact_com_Osimps_I3_J-2, axiom, ( ( c_Com_Ocom_OSemi(_u146, _u148) != c_Com_Ocom_OSemi(_u150, _u152)) | ( _u148 = _u152) )).
% 28.96/29.16 cnf(fact_com_Osimps_I3_J-3, axiom, ( ( _u147 != _u151) | ( _u149 != _u153) | ( c_Com_Ocom_OSemi(_u147, _u149) = c_Com_Ocom_OSemi(_u151, _u153)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I6_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u156) != hAPP(c_Com_Ocom_OBODY, _u158)) | ( _u156 = _u158) )).
% 28.96/29.16 cnf(fact_com_Osimps_I6_J-2, axiom, ( ( _u157 != _u159) | ( hAPP(c_Com_Ocom_OBODY, _u157) = hAPP(c_Com_Ocom_OBODY, _u159)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_OBody ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_OBody-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u160))), _u161), _u162)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u160)), _u161), _u162)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc__elim__cases_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc__elim__cases_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u163)), _u164), _u165)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u163))), _u164), _u165)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Body__triple__valid__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Body__triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u171, _u173, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u171), _u175), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u177))), _u179)) | c_Hoare__Mirabelle_Otriple__valid(_u171, hAPP(c_Nat_OSuc, _u173), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u171), _u175), hAPP(c_Com_Ocom_OBODY, _u177)), _u179)) )).
% 28.96/29.16 cnf(fact_Body__triple__valid__Suc-2, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u172, hAPP(c_Nat_OSuc, _u174), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u172), _u176), hAPP(c_Com_Ocom_OBODY, _u178)), _u180)) | c_Hoare__Mirabelle_Otriple__valid(_u172, _u174, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u172), _u176), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u178))), _u180)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_OSemi ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_OSemi-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u181), _u182), _u183)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u184), _u183), _u185)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u181, _u184)), _u182), _u185)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc__elim__cases_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc__elim__cases_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u186), _u187)) | ( _u187 = _u186) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_OSkip ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_OSkip-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u188), _u188)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com__det ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com__det-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u189), _u190), _u191)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u189), _u190), _u192)) | ( _u192 = _u191) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_triple__valid__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u193, hAPP(c_Nat_OSuc, _u194), _u195) | c_Hoare__Mirabelle_Otriple__valid(_u193, _u194, _u195) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_Oequations_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u202, _u204)), _u206), _u208)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u202), _u206), skolem6(_u208, _u206, _u204, _u202))) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u202, _u204)), _u206), _u208)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u204), skolem6(_u208, _u206, _u204, _u202)), _u208)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u203), _u207), _u197)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u205), _u197), _u209)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u203, _u205)), _u207), _u209)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_Oequations_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u210), _u210)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_Oequations_I9_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_Oequations_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u214)), _u216), _u218)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u214))), _u216), _u218)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u215))), _u217), _u219)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u215)), _u217), _u219)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_OBody ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_OBody-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u220)), _u221, _u222, _u223) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u220), _u221, hAPP(c_Nat_OSuc, _u222), _u223) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_Oequations_I9_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_Oequations_I9_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u228), _u230, hAPP(c_Nat_OSuc, _u232), _u234) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u228)), _u230, _u232, _u234) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I9_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u229)), _u231, _u233, _u235) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u229), _u231, hAPP(c_Nat_OSuc, _u233), _u235) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Body__triple__valid__0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Body__triple__valid__0-1, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u236, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u236), _u237), hAPP(c_Com_Ocom_OBODY, _u238)), _u239)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc__elim__cases_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc__elim__cases_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u241, _u242)), _u243), _u244)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u241), _u243), skolem7(_u244, _u243, _u242, _u241))) )).
% 28.96/29.16 cnf(fact_evalc__elim__cases_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u241, _u242)), _u243), _u244)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u242), skolem7(_u244, _u243, _u242, _u241)), _u244)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u245) != hAPP(c_Nat_OSuc, _u246)) | ( _u245 = _u246) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u249) != hAPP(c_Nat_OSuc, _u251)) | ( _u249 = _u251) )).
% 28.96/29.16 cnf(fact_nat_Oinject-2, axiom, ( ( _u250 != _u252) | ( hAPP(c_Nat_OSuc, _u250) = hAPP(c_Nat_OSuc, _u252)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u253) != _u253) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u254 != hAPP(c_Nat_OSuc, _u254)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln__elim__cases_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln__elim__cases_I6_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u256), _u257, _u258, _u259) | ( _u258 = hAPP(c_Nat_OSuc, skolem8(_u259, _u258, _u257, _u256))) )).
% 28.96/29.16 cnf(fact_evaln__elim__cases_I6_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u256), _u257, _u258, _u259) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u256)), _u257, skolem8(_u259, _u258, _u257, _u256), _u259) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_conseq12 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_conseq12-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u266), _u267), _u268)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u269), _u267), _u270)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u269, skolem9(_u270, _u269, _u268, _u267, _u266, _u265, _u264)), skolem10(_u270, _u269, _u268, _u267, _u266, _u265, _u264))) )).
% 28.96/29.16 cnf(fact_conseq12-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u266), _u267), _u268)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u269), _u267), _u270)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u266, _u260), skolem10(_u270, _u269, _u268, _u267, _u266, _u265, _u264))) | hBOOL(hAPP(hAPP(_u268, _u260), skolem11(_u270, _u269, _u268, _u267, _u266, _u265, _u264))) )).
% 28.96/29.16 cnf(fact_conseq12-3, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u266), _u267), _u268)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u269), _u267), _u270)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u270, skolem9(_u270, _u269, _u268, _u267, _u266, _u265, _u264)), skolem11(_u270, _u269, _u268, _u267, _u266, _u265, _u264))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_triple__valid__def2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_triple__valid__def2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u286, _u273), _u272)) | ~c_Natural_Oevaln(_u288, _u272, _u284, _u271) | hBOOL(hAPP(hAPP(_u290, _u273), _u271)) | ~c_Hoare__Mirabelle_Otriple__valid(_u282, _u284, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u282), _u286), _u288), _u290)) )).
% 28.96/29.16 cnf(fact_triple__valid__def2-2, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u283, _u285, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u283), _u287), _u289), _u291)) | hBOOL(hAPP(hAPP(_u287, skolem12(_u291, _u289, _u287, _u285)), skolem13(_u291, _u289, _u287, _u285))) )).
% 28.96/29.16 cnf(fact_triple__valid__def2-3, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u283, _u285, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u283), _u287), _u289), _u291)) | c_Natural_Oevaln(_u289, skolem13(_u291, _u289, _u287, _u285), _u285, skolem14(_u291, _u289, _u287, _u285)) )).
% 28.96/29.16 cnf(fact_triple__valid__def2-4, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u283, _u285, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u283), _u287), _u289), _u291)) | ~hBOOL(hAPP(hAPP(_u291, skolem12(_u291, _u289, _u287, _u285)), skolem14(_u291, _u289, _u287, _u285))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_OSemi ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_OSemi-1, axiom, ( ~c_Natural_Oevaln(_u292, _u293, _u294, _u295) | ~c_Natural_Oevaln(_u296, _u295, _u294, _u297) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u292, _u296), _u293, _u294, _u297) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_OSkip ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_OSkip-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u298, _u299, _u298) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln__elim__cases_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln__elim__cases_I1_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u300, _u301, _u302) | ( _u302 = _u300) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u303)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u304)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u305) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u306) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u307)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u308) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln__Suc-1, axiom, ( ~c_Natural_Oevaln(_u309, _u310, _u311, _u312) | c_Natural_Oevaln(_u309, _u310, hAPP(c_Nat_OSuc, _u311), _u312) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_eval__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_eval__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u318), _u320), _u322)) | c_Natural_Oevaln(_u318, _u320, skolem15(_u322, _u320, _u318), _u322) )).
% 28.96/29.16 cnf(fact_eval__eq-2, axiom, ( ~c_Natural_Oevaln(_u319, _u321, _u314, _u323) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u319), _u321), _u323)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln__evalc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln__evalc-1, axiom, ( ~c_Natural_Oevaln(_u324, _u325, _u326, _u327) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u324), _u325), _u327)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_Oequations_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_Oequations_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u335, _u337), _u339, _u341, _u343) | c_Natural_Oevaln(_u335, _u339, _u341, skolem16(_u343, _u341, _u339, _u337, _u335)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u335, _u337), _u339, _u341, _u343) | c_Natural_Oevaln(_u337, skolem16(_u343, _u341, _u339, _u337, _u335), _u341, _u343) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I4_J-3, axiom, ( ~c_Natural_Oevaln(_u336, _u340, _u342, _u329) | ~c_Natural_Oevaln(_u338, _u329, _u342, _u344) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u336, _u338), _u340, _u342, _u344) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_Oequations_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_Oequations_I1_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u345, _u346, _u345) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_triple_Osize_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_triple_Osize_I1_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u347, _u348, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u347), _u349), _u350), _u351)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_triple_Osize_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_triple_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u352)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u352), _u353), _u354), _u355)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln__elim__cases_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln__elim__cases_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u357, _u358), _u359, _u360, _u361) | c_Natural_Oevaln(_u357, _u359, _u360, skolem17(_u361, _u360, _u359, _u358, _u357)) )).
% 28.96/29.16 cnf(fact_evaln__elim__cases_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u357, _u358), _u359, _u360, _u361) | c_Natural_Oevaln(_u358, skolem17(_u361, _u360, _u359, _u358, _u357), _u360, _u361) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I7_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I7_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u362)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I9_J ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I15_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I15_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u363)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u364) | ( c_Groups_Ozero__class_Ozero(_u364) != _u365) | ( _u365 = c_Groups_Ozero__class_Ozero(_u364)) )).
% 28.96/29.16 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u364) | ( _u365 != c_Groups_Ozero__class_Ozero(_u364)) | ( c_Groups_Ozero__class_Ozero(_u364) = _u365) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u366) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u366, _u367, hAPP(c_Nat_OSuc, _u368), _u369) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u366, _u367, _u368, hAPP(_u367, _u369))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u370) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u370, _u371, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u372) = _u372) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc__evaln ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc__evaln-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u374), _u375), _u376)) | c_Natural_Oevaln(_u374, _u375, skolem18(_u376, _u375, _u374), _u376) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I12_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I12_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u377, _u378)) = 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), _u377)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u378))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u379, _u380)) = 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(_u379)), c_Com_Ocom_Ocom__size(_u380))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I16_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I16_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCall(_u381, _u382, _u383)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I8_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I8_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(_u384, _u385, _u386)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I10_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I10_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u387, _u388)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I2_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u389, _u390)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 28.96/29.16 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, _u391))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not0__implies__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not0__implies__Suc-1, axiom, ( ( _u393 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u393 = hAPP(c_Nat_OSuc, skolem19(_u393))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__induct ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__induct-1, axiom, ( ~hBOOL(hAPP(_u395, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u395, _u396)) | hBOOL(hAPP(_u395, skolem20(_u396, _u395))) )).
% 28.96/29.16 cnf(fact_nat__induct-2, axiom, ( ~hBOOL(hAPP(_u395, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u395, _u396)) | ~hBOOL(hAPP(_u395, hAPP(c_Nat_OSuc, skolem20(_u396, _u395)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__induct ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zero__induct-1, axiom, ( ~hBOOL(hAPP(_u398, _u399)) | hBOOL(hAPP(_u398, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u398, hAPP(c_Nat_OSuc, skolem21(_u399, _u398)))) )).
% 28.96/29.16 cnf(fact_zero__induct-2, axiom, ( ~hBOOL(hAPP(_u398, _u399)) | hBOOL(hAPP(_u398, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u398, skolem21(_u399, _u398))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat_Oexhaust ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat_Oexhaust-1, axiom, ( ( _u401 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u401 = hAPP(c_Nat_OSuc, skolem22(_u401))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u402, _u403, _u404, hAPP(c_Nat_OSuc, _u405)) = hAPP(_u404, _u405)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u406), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_lessI ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u407), hAPP(c_Nat_OSuc, _u407))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u408), _u409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u408)), hAPP(c_Nat_OSuc, _u409))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u410), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u410), _u411), _u412)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u410), _u411), _u413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u410), _u412), _u413)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u414), _u415), _u416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u414), _u417), _u416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u414), _u415), _u417)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u418) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u418), _u419), _u420) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u418), _u421), _u420)) | ( _u419 = _u421) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u422) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u422), _u423), _u424) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u422), _u423), _u425)) | ( _u424 = _u425) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u426) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u426), _u427), _u428) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u426), _u427), _u429)) | ( _u428 = _u429) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u430), _u431), _u432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u430), _u433), _u434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u430), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u430), _u431), _u433)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u430), _u432), _u434))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u435), _u436), _u437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u435), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u435), _u438), _u436)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u435), _u438), _u437))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u439), _u440), _u441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u439), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u439), _u440), _u442)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u439), _u441), _u442))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u443), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u443), _u444), _u445)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u443), _u444), _u446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u443), _u445), _u446)) )).
% 28.96/29.16 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u443), _u445), _u446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u443), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u443), _u444), _u445)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u443), _u444), _u446))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u447), _u448), _u449)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u447), _u450), _u449))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u447), _u448), _u450)) )).
% 28.96/29.16 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u447), _u448), _u450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u447), _u448), _u449)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u447), _u450), _u449))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u451) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u451), _u452), _u453) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u451), _u454), _u453)) | ( _u452 = _u454) )).
% 28.96/29.16 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u451) | ( _u452 != _u454) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u451), _u452), _u453) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u451), _u454), _u453)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u455) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u455), _u456), _u457) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u455), _u456), _u458)) | ( _u457 = _u458) )).
% 28.96/29.16 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u455) | ( _u457 != _u458) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u455), _u456), _u457) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u455), _u456), _u458)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u459) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u459), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u459), _u460), _u461)), _u462) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u459), _u460), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u459), _u461), _u462))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I7_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I7_J-1, axiom, ( ( c_Com_Ocom_OCall(_u469, _u471, _u473) != c_Com_Ocom_OCall(_u475, _u477, _u479)) | ( _u469 = _u475) )).
% 28.96/29.16 cnf(fact_com_Osimps_I7_J-2, axiom, ( ( c_Com_Ocom_OCall(_u469, _u471, _u473) != c_Com_Ocom_OCall(_u475, _u477, _u479)) | ( _u471 = _u477) )).
% 28.96/29.16 cnf(fact_com_Osimps_I7_J-3, axiom, ( ( c_Com_Ocom_OCall(_u469, _u471, _u473) != c_Com_Ocom_OCall(_u475, _u477, _u479)) | ( _u473 = _u479) )).
% 28.96/29.16 cnf(fact_com_Osimps_I7_J-4, axiom, ( ( _u470 != _u476) | ( _u472 != _u478) | ( _u474 != _u480) | ( c_Com_Ocom_OCall(_u470, _u472, _u474) = c_Com_Ocom_OCall(_u476, _u478, _u480)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I1_J-1, axiom, ( ( c_Com_Ocom_OAss(_u485, _u487) != c_Com_Ocom_OAss(_u489, _u491)) | ( _u485 = _u489) )).
% 28.96/29.16 cnf(fact_com_Osimps_I1_J-2, axiom, ( ( c_Com_Ocom_OAss(_u485, _u487) != c_Com_Ocom_OAss(_u489, _u491)) | ( _u487 = _u491) )).
% 28.96/29.16 cnf(fact_com_Osimps_I1_J-3, axiom, ( ( _u486 != _u490) | ( _u488 != _u492) | ( c_Com_Ocom_OAss(_u486, _u488) = c_Com_Ocom_OAss(_u490, _u492)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I33_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I33_J-1, axiom, ( ( c_Com_Ocom_OCall(_u493, _u494, _u495) != c_Com_Ocom_OAss(_u496, _u497)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I32_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I32_J-1, axiom, ( ( c_Com_Ocom_OAss(_u498, _u499) != c_Com_Ocom_OCall(_u500, _u501, _u502)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u503) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u503), _u504), _u505)) | ( _u504 = _u505) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u503), _u505), _u504)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u506), _u507), _u508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u506), _u508), _u507)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u509), _u510), _u511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u509), _u512), _u510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u509), _u512), _u511)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u513), _u514), _u515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u513), _u515), _u516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u513), _u514), _u516)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u517), _u518), _u519)) | ( _u518 != _u520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u517), _u520), _u519)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u521), _u522), _u523)) | ( _u523 != _u524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u521), _u522), _u524)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u525) | ( _u526 != _u527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u525), _u528), _u527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u525), _u528), _u526)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u529) | ( _u530 != _u531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u529), _u531), _u532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u529), _u530), _u532)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u533), _u534), _u535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u533), _u535), _u534)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u536), _u537), _u538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u536), _u538), _u537)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u539), _u540), _u541)) | ( _u541 != _u540) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u542), _u543), _u544)) | ( _u543 != _u544) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u545) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u545), _u546), _u547)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u545), _u547), _u546)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), _u549), _u550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), _u550), _u549)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u551), _u552), _u553)) | ( _u552 != _u553) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u554) | ( _u555 = _u556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u554), _u555), _u556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u554), _u556), _u555)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u557) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u557), _u558), _u559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u557), _u559), _u558)) | ( _u559 = _u558) )).
% 28.96/29.16 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u557) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u557), _u558), _u559)) | ( _u559 != _u558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u557), _u559), _u558)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u560) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u560), _u561), _u562)) | ( _u561 = _u562) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u560), _u562), _u561)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u563) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u564), _u565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u565), _u564)) | ( _u564 = _u565) )).
% 28.96/29.16 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u564), _u565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u565), _u564)) )).
% 28.96/29.16 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u564), _u565)) | ( _u564 != _u565) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u566) | ( _u567 = _u568) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u566), _u567), _u568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u566), _u568), _u567)) )).
% 28.96/29.16 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u566) | ( _u567 != _u568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u566), _u567), _u568)) )).
% 28.96/29.16 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u566) | ( _u567 != _u568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u566), _u568), _u567)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u569), _u570), _u570)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u571), _u572)) | ( _u571 = _u572) | hBOOL(hAPP(hAPP(_u573, _u572), _u571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u572), _u571)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 28.96/29.16 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), _u574), _u575)), _u576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u574), _u576)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u577), _u578)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u579), _u578) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u577), _u580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u579), _u580)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u581), _u582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u583), _u584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u581), _u583)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u582), _u584))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u585), _u586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u585), _u587)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u586), _u587))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u588), _u589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u588), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u590), _u589))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u591), _u592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u591), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u592), _u593))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u594), _u595)) | ( _u594 != _u595) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u596), _u597)) | ( _u597 != _u596) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u598), _u598)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u599 = _u600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u599), _u600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u600), _u599)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u606), _u608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u604), _u606)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u604), _u608))) )).
% 28.96/29.16 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u607), _u609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u605), _u607)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u605), _u609))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u613), _u615) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u617), _u615)) | ( _u613 = _u617) )).
% 28.96/29.16 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u614 != _u618) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u614), _u616) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u618), _u616)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u624 = _u626) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u622), _u624) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u622), _u626)) )).
% 28.96/29.16 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u625 != _u627) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u623), _u625) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u623), _u627)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 28.96/29.16 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), _u628), _u629)), _u630) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u629), _u630))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u632), _u633)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u632), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u631), _u633))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u634), _u635) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u635), _u634)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__neq__iff-1, axiom, ( ( _u638 = _u640) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u638), _u640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u640), _u638)) )).
% 28.96/29.16 cnf(fact_nat__neq__iff-2, axiom, ( ( _u639 != _u641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u639), _u641)) )).
% 28.96/29.16 cnf(fact_nat__neq__iff-3, axiom, ( ( _u639 != _u641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u641), _u639)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 28.96/29.16 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), _u642), _u643)), _u643)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 28.96/29.16 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), _u644), _u645)), _u644)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u646), _u646)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u647), _u648), c_Groups_Ozero__class_Ozero(_u647))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u647), _u649), c_Groups_Ozero__class_Ozero(_u647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u647), _u648), _u649)), c_Groups_Ozero__class_Ozero(_u647))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u650), c_Groups_Ozero__class_Ozero(_u650)), _u651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u650), c_Groups_Ozero__class_Ozero(_u650)), _u652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u650), c_Groups_Ozero__class_Ozero(_u650)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u650), _u651), _u652))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u653), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u653), _u654), _u654)), c_Groups_Ozero__class_Ozero(_u653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u653), _u654), c_Groups_Ozero__class_Ozero(_u653))) )).
% 28.96/29.16 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u653), _u654), c_Groups_Ozero__class_Ozero(_u653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u653), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u653), _u654), _u654)), c_Groups_Ozero__class_Ozero(_u653))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), c_Groups_Ozero__class_Ozero(_u655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u655), _u656), _u656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), c_Groups_Ozero__class_Ozero(_u655)), _u656)) )).
% 28.96/29.16 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), c_Groups_Ozero__class_Ozero(_u655)), _u656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), c_Groups_Ozero__class_Ozero(_u655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u655), _u656), _u656))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 28.96/29.16 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), _u659), _u661))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u661)) )).
% 28.96/29.16 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), _u660), _u662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u660)) )).
% 28.96/29.16 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), _u660), _u662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u662)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u667), _u669)) | ( _u669 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u667), skolem23(_u669, _u667)))) )).
% 28.96/29.16 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u670 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u668), _u664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u668), _u670)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u671), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u672), _u671)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u673), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u673), _u674)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u675) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u675), c_Groups_Ozero__class_Ozero(_u675)), _u676) = _u676) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u677) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u677), c_Groups_Ozero__class_Ozero(_u677)), _u678) = _u678) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u679) | ( c_Groups_Ozero__class_Ozero(_u679) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u679), _u680), _u680)) | ( _u680 = c_Groups_Ozero__class_Ozero(_u679)) )).
% 28.96/29.16 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u679) | ( _u680 != c_Groups_Ozero__class_Ozero(_u679)) | ( c_Groups_Ozero__class_Ozero(_u679) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u679), _u680), _u680)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u681) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u681), _u682), c_Groups_Ozero__class_Ozero(_u681)) = _u682) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u683) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u683), _u684), c_Groups_Ozero__class_Ozero(_u683)) = _u684) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 28.96/29.16 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)), _u685) = _u685) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u686), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u686) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u689), _u691) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u689 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u689), _u691) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u691 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_add__is__0-3, axiom, ( ( _u690 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u692 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u690), _u692) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u694 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u693), _u694) != _u693) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u695), hAPP(c_Nat_OSuc, _u696)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u695), _u696))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u697)), _u698) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u697), _u698))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u699)), _u700) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u699), hAPP(c_Nat_OSuc, _u700))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u701), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neq0__conv-1, axiom, ( ( _u703 = 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)), _u703)) )).
% 28.96/29.16 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)), _u704)) | ( _u704 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u705), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_gr__implies__not0-1, axiom, ( ( _u707 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u706), _u707)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_gr0I-1, axiom, ( ( _u708 = 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)), _u708)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u711), _u713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u713), hAPP(c_Nat_OSuc, _u711))) )).
% 28.96/29.16 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u714), hAPP(c_Nat_OSuc, _u712))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u712), _u714)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u717), hAPP(c_Nat_OSuc, _u719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u717), _u719)) | ( _u717 = _u719) )).
% 28.96/29.16 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u718), hAPP(c_Nat_OSuc, _u720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u718), _u720)) )).
% 28.96/29.16 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u718), hAPP(c_Nat_OSuc, _u720))) | ( _u718 != _u720) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u723)), hAPP(c_Nat_OSuc, _u725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u723), _u725)) )).
% 28.96/29.16 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u724), _u726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u724)), hAPP(c_Nat_OSuc, _u726))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), _u728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), hAPP(c_Nat_OSuc, _u728))) | ( _u727 = _u728) )).
% 28.96/29.16 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), _u728)) | ( _u727 != _u728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), hAPP(c_Nat_OSuc, _u728))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u729), _u730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u729), hAPP(c_Nat_OSuc, _u730))) | ( _u730 = _u729) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u731), _u732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u731), hAPP(c_Nat_OSuc, _u732))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u733), _u734)) | ( hAPP(c_Nat_OSuc, _u733) = _u734) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u733)), _u734)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u735), _u736)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u736), _u737)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u735)), _u737)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u738), hAPP(c_Nat_OSuc, _u739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u738), _u739)) | ( _u738 = _u739) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u740)), _u741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u740), _u741)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u742)), hAPP(c_Nat_OSuc, _u743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), _u743)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I30_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I30_J-1, axiom, ( ( c_Com_Ocom_OAss(_u744, _u745) != hAPP(c_Com_Ocom_OBODY, _u746)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I31_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I31_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u747) != c_Com_Ocom_OAss(_u748, _u749)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I63_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I63_J-1, axiom, ( ( c_Com_Ocom_OCall(_u750, _u751, _u752) != hAPP(c_Com_Ocom_OBODY, _u753)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I62_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I62_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u754) != c_Com_Ocom_OCall(_u755, _u756, _u757)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I24_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I24_J-1, axiom, ( ( c_Com_Ocom_OAss(_u758, _u759) != c_Com_Ocom_OSemi(_u760, _u761)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I25_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I25_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u762, _u763) != c_Com_Ocom_OAss(_u764, _u765)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I8_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I8_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u766, _u767)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I9_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I9_J-1, axiom, ( ( c_Com_Ocom_OAss(_u768, _u769) != c_Com_Ocom_OSKIP) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I50_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I50_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u770, _u771) != c_Com_Ocom_OCall(_u772, _u773, _u774)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I51_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I51_J-1, axiom, ( ( c_Com_Ocom_OCall(_u775, _u776, _u777) != c_Com_Ocom_OSemi(_u778, _u779)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I20_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I20_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(_u780, _u781, _u782)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I21_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I21_J-1, axiom, ( ( c_Com_Ocom_OCall(_u783, _u784, _u785) != c_Com_Ocom_OSKIP) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u788), _u790) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u788 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u788), _u790) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u788 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u790 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u788), _u790) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u790 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u788), _u790) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u790 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u790 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u789), _u791) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u789 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u791 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u789), _u791) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u789 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u791 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 28.96/29.16 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), _u794), _u796)) | ( _u794 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u794 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 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), _u794), _u796)) | ( _u794 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u796 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16 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), _u794), _u796)) | ( _u796 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u794 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 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), _u794), _u796)) | ( _u796 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u796 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16 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), _u795), _u797)) | ( _u795 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u797 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 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), _u795), _u797)) | ( _u795 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u797 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u802), hAPP(c_Nat_OSuc, _u804))) | ( _u802 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u802 = hAPP(c_Nat_OSuc, skolem24(_u804, _u802))) )).
% 28.96/29.16 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u802), hAPP(c_Nat_OSuc, _u804))) | ( _u802 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem24(_u804, _u802)), _u804)) )).
% 28.96/29.16 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u803), hAPP(c_Nat_OSuc, _u805))) | ( _u803 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u803), hAPP(c_Nat_OSuc, _u805))) | ( _u803 != hAPP(c_Nat_OSuc, _u799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u799), _u805)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u807), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u807 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_less__Suc0-2, axiom, ( ( _u808 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u808), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 28.96/29.16 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)), _u812)) | ( _u812 = hAPP(c_Nat_OSuc, skolem25(_u812))) )).
% 28.96/29.16 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u813 != hAPP(c_Nat_OSuc, _u810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u813)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u814, _u815, _u816, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u815) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u817), _u818), _u818)), c_Groups_Ozero__class_Ozero(_u817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), _u818), c_Groups_Ozero__class_Ozero(_u817))) )).
% 28.96/29.16 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), _u818), c_Groups_Ozero__class_Ozero(_u817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u817), _u818), _u818)), c_Groups_Ozero__class_Ozero(_u817))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u819) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u819), c_Groups_Ozero__class_Ozero(_u819)), _u820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u819), _u821), _u822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u819), _u821), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u819), _u820), _u822))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u823), _u824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u823), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u824), _u825))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u826), _u827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u826), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u828), _u827))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u829) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u829), c_Groups_Ozero__class_Ozero(_u829)), _u830) = _u830) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u831) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u831), _u832), c_Groups_Ozero__class_Ozero(_u831)) = _u832) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u833) | ( _u834 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u833), _u834), _u835)) | ( _u835 = c_Groups_Ozero__class_Ozero(_u833)) )).
% 28.96/29.16 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u833) | ( _u835 != c_Groups_Ozero__class_Ozero(_u833)) | ( _u834 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u833), _u834), _u835)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u836) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u836), _u837), _u837) != c_Groups_Ozero__class_Ozero(_u836)) | ( _u837 = c_Groups_Ozero__class_Ozero(_u836)) )).
% 28.96/29.16 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u836) | ( _u837 != c_Groups_Ozero__class_Ozero(_u836)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u836), _u837), _u837) = c_Groups_Ozero__class_Ozero(_u836)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I5_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u838, _u839, _u840)) = 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(_u839)), c_Com_Ocom_Ocom__size(_u840))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I13_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I13_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u841, _u842, _u843)) = 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), _u842)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u843))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I3_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u844, _u845, _u846)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u846)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_OIfFalse ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_OIfFalse-1, axiom, ( hBOOL(hAPP(_u847, _u848)) | ~c_Natural_Oevaln(_u849, _u848, _u850, _u851) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u847, _u852, _u849), _u848, _u850, _u851) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_OIfTrue ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u853, _u854)) | ~c_Natural_Oevaln(_u855, _u854, _u856, _u857) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u853, _u855, _u858), _u854, _u856, _u857) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln__elim__cases_I5_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln__elim__cases_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u859, _u860, _u861), _u862, _u863, _u864) | hBOOL(hAPP(_u859, _u862)) | c_Natural_Oevaln(_u861, _u862, _u863, _u864) )).
% 28.96/29.16 cnf(fact_evaln__elim__cases_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u859, _u860, _u861), _u862, _u863, _u864) | c_Natural_Oevaln(_u860, _u862, _u863, _u864) | ~hBOOL(hAPP(_u859, _u862)) )).
% 28.96/29.16 cnf(fact_evaln__elim__cases_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u859, _u860, _u861), _u862, _u863, _u864) | c_Natural_Oevaln(_u860, _u862, _u863, _u864) | c_Natural_Oevaln(_u861, _u862, _u863, _u864) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc__elim__cases_I5_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u865, _u866, _u867)), _u868), _u869)) | hBOOL(hAPP(_u865, _u868)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u867), _u868), _u869)) )).
% 28.96/29.16 cnf(fact_evalc__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u865, _u866, _u867)), _u868), _u869)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u866), _u868), _u869)) | ~hBOOL(hAPP(_u865, _u868)) )).
% 28.96/29.16 cnf(fact_evalc__elim__cases_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u865, _u866, _u867)), _u868), _u869)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u866), _u868), _u869)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u867), _u868), _u869)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_OIfTrue ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u870, _u871)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u872), _u871), _u873)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u870, _u872, _u874)), _u871), _u873)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_OIfFalse ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_OIfFalse-1, axiom, ( hBOOL(hAPP(_u875, _u876)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u877), _u876), _u878)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u875, _u879, _u877)), _u876), _u878)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I37_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I37_J-1, axiom, ( ( c_Com_Ocom_OCond(_u880, _u881, _u882) != c_Com_Ocom_OLocal(_u883, _u884, _u885)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I36_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I36_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u886, _u887, _u888) != c_Com_Ocom_OCond(_u889, _u890, _u891)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I4_J-1, axiom, ( ( c_Com_Ocom_OCond(_u898, _u900, _u902) != c_Com_Ocom_OCond(_u904, _u906, _u908)) | ( _u898 = _u904) )).
% 28.96/29.16 cnf(fact_com_Osimps_I4_J-2, axiom, ( ( c_Com_Ocom_OCond(_u898, _u900, _u902) != c_Com_Ocom_OCond(_u904, _u906, _u908)) | ( _u900 = _u906) )).
% 28.96/29.16 cnf(fact_com_Osimps_I4_J-3, axiom, ( ( c_Com_Ocom_OCond(_u898, _u900, _u902) != c_Com_Ocom_OCond(_u904, _u906, _u908)) | ( _u902 = _u908) )).
% 28.96/29.16 cnf(fact_com_Osimps_I4_J-4, axiom, ( ( _u899 != _u905) | ( _u901 != _u907) | ( _u903 != _u909) | ( c_Com_Ocom_OCond(_u899, _u901, _u903) = c_Com_Ocom_OCond(_u905, _u907, _u909)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I2_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u916, _u918, _u920) != c_Com_Ocom_OLocal(_u922, _u924, _u926)) | ( _u916 = _u922) )).
% 28.96/29.16 cnf(fact_com_Osimps_I2_J-2, axiom, ( ( c_Com_Ocom_OLocal(_u916, _u918, _u920) != c_Com_Ocom_OLocal(_u922, _u924, _u926)) | ( _u918 = _u924) )).
% 28.96/29.16 cnf(fact_com_Osimps_I2_J-3, axiom, ( ( c_Com_Ocom_OLocal(_u916, _u918, _u920) != c_Com_Ocom_OLocal(_u922, _u924, _u926)) | ( _u920 = _u926) )).
% 28.96/29.16 cnf(fact_com_Osimps_I2_J-4, axiom, ( ( _u917 != _u923) | ( _u919 != _u925) | ( _u921 != _u927) | ( c_Com_Ocom_OLocal(_u917, _u919, _u921) = c_Com_Ocom_OLocal(_u923, _u925, _u927)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u928, tc_HOL_Obool)), _u929), c_Orderings_Obot__class_Obot(tc_fun(_u928, tc_HOL_Obool)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_Oequations_I5_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_Oequations_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u936, _u938, _u940), _u942, _u944, _u946) | hBOOL(hAPP(_u936, _u942)) | c_Natural_Oevaln(_u940, _u942, _u944, _u946) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u936, _u938, _u940), _u942, _u944, _u946) | c_Natural_Oevaln(_u938, _u942, _u944, _u946) | ~hBOOL(hAPP(_u936, _u942)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u936, _u938, _u940), _u942, _u944, _u946) | c_Natural_Oevaln(_u938, _u942, _u944, _u946) | c_Natural_Oevaln(_u940, _u942, _u944, _u946) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I5_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u937, _u939, _u941), _u943, _u945, _u947) | ~hBOOL(hAPP(_u937, _u943)) | ~c_Natural_Oevaln(_u939, _u943, _u945, _u947) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I5_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u937, _u939, _u941), _u943, _u945, _u947) | hBOOL(hAPP(_u937, _u943)) | ~c_Natural_Oevaln(_u941, _u943, _u945, _u947) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_Oequations_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_Oequations_I6_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u954, _u956, _u958), _u960, _u962, _u964) | hBOOL(hAPP(_u954, _u960)) | c_Natural_Oevaln(_u958, _u960, _u962, _u964) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I6_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u954, _u956, _u958), _u960, _u962, _u964) | c_Natural_Oevaln(_u956, _u960, _u962, _u964) | ~hBOOL(hAPP(_u954, _u960)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I6_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u954, _u956, _u958), _u960, _u962, _u964) | c_Natural_Oevaln(_u956, _u960, _u962, _u964) | c_Natural_Oevaln(_u958, _u960, _u962, _u964) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I6_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u955, _u957, _u959), _u961, _u963, _u965) | ~hBOOL(hAPP(_u955, _u961)) | ~c_Natural_Oevaln(_u957, _u961, _u963, _u965) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I6_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u955, _u957, _u959), _u961, _u963, _u965) | hBOOL(hAPP(_u955, _u961)) | ~c_Natural_Oevaln(_u959, _u961, _u963, _u965) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I41_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I41_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u966) != c_Com_Ocom_OLocal(_u967, _u968, _u969)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I40_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I40_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u970, _u971, _u972) != hAPP(c_Com_Ocom_OBODY, _u973)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_Oequations_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_Oequations_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u979, _u981, _u983)), _u985), _u987)) | hBOOL(hAPP(_u979, _u985)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u983), _u985), _u987)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u979, _u981, _u983)), _u985), _u987)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u981), _u985), _u987)) | ~hBOOL(hAPP(_u979, _u985)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u979, _u981, _u983)), _u985), _u987)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u981), _u985), _u987)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u983), _u985), _u987)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I6_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u980, _u982, _u984)), _u986), _u988)) | ~hBOOL(hAPP(_u980, _u986)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u982), _u986), _u988)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I6_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u980, _u982, _u984)), _u986), _u988)) | hBOOL(hAPP(_u980, _u986)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u984), _u986), _u988)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_Oequations_I5_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u994, _u996, _u998)), _u1000), _u1002)) | hBOOL(hAPP(_u994, _u1000)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u998), _u1000), _u1002)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u994, _u996, _u998)), _u1000), _u1002)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u996), _u1000), _u1002)) | ~hBOOL(hAPP(_u994, _u1000)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u994, _u996, _u998)), _u1000), _u1002)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u996), _u1000), _u1002)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u998), _u1000), _u1002)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I5_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u995, _u997, _u999)), _u1001), _u1003)) | ~hBOOL(hAPP(_u995, _u1001)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u997), _u1001), _u1003)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I5_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u995, _u997, _u999)), _u1001), _u1003)) | hBOOL(hAPP(_u995, _u1001)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u999), _u1001), _u1003)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I55_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I55_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u1004) != c_Com_Ocom_OCond(_u1005, _u1006, _u1007)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I54_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I54_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1008, _u1009, _u1010) != hAPP(c_Com_Ocom_OBODY, _u1011)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I22_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I22_J-1, axiom, ( ( c_Com_Ocom_OAss(_u1012, _u1013) != c_Com_Ocom_OLocal(_u1014, _u1015, _u1016)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I23_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I23_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u1017, _u1018, _u1019) != c_Com_Ocom_OAss(_u1020, _u1021)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I34_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I34_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u1022, _u1023, _u1024) != c_Com_Ocom_OSemi(_u1025, _u1026)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I35_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I35_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1027, _u1028) != c_Com_Ocom_OLocal(_u1029, _u1030, _u1031)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I43_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I43_J-1, axiom, ( ( c_Com_Ocom_OCall(_u1032, _u1033, _u1034) != c_Com_Ocom_OLocal(_u1035, _u1036, _u1037)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I42_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I42_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u1038, _u1039, _u1040) != c_Com_Ocom_OCall(_u1041, _u1042, _u1043)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I11_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I11_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u1044, _u1045, _u1046) != c_Com_Ocom_OSKIP) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I10_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I10_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u1047, _u1048, _u1049)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I26_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I26_J-1, axiom, ( ( c_Com_Ocom_OAss(_u1050, _u1051) != c_Com_Ocom_OCond(_u1052, _u1053, _u1054)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I27_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I27_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1055, _u1056, _u1057) != c_Com_Ocom_OAss(_u1058, _u1059)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I45_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I45_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1060, _u1061, _u1062) != c_Com_Ocom_OSemi(_u1063, _u1064)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I44_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I44_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1065, _u1066) != c_Com_Ocom_OCond(_u1067, _u1068, _u1069)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I57_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I57_J-1, axiom, ( ( c_Com_Ocom_OCall(_u1070, _u1071, _u1072) != c_Com_Ocom_OCond(_u1073, _u1074, _u1075)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I56_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I56_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1076, _u1077, _u1078) != c_Com_Ocom_OCall(_u1079, _u1080, _u1081)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I15_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I15_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1082, _u1083, _u1084) != c_Com_Ocom_OSKIP) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I14_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I14_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u1085, _u1086, _u1087)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u1088) | ( _u1089 = _u1090) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1088), _u1089), _u1090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1088), _u1090), _u1089)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1091) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), _u1092), _u1093)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), _u1094), _u1095)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), _u1092), _u1094)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), _u1093), _u1095))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1096) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1096), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1096), _u1097), _u1098)), _u1099) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1096), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1096), _u1097), _u1099)), _u1098)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1100) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1101), _u1102)), _u1103) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1101), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1102), _u1103))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1104) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1106), _u1107)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1105), _u1106)), _u1107)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1108) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1109), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1110), _u1111)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1109), _u1111))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1112) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1113), _u1114) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1114), _u1113)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I11_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I11_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u1115, _u1116, _u1117)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1117)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I14_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I14_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u1118, _u1119)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1119)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osize_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osize_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u1120, _u1121)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u1121)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u1122)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u1122)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1123), c_Groups_Ozero__class_Ozero(_u1123)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1123), _u1124))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1124)) )).
% 28.96/29.16 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1123), c_Groups_Ozero__class_Ozero(_u1123)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1123), _u1124))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1125)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1125)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_hoare__derivs_OIf ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_hoare__derivs_OIf-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u1126, _u1127, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1126)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1126), c_Hoare__Mirabelle_Opeek__and(_u1126, _u1128, _u1129)), _u1130), _u1131)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1126), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u1126, _u1127, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1126)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1126), c_Hoare__Mirabelle_Opeek__and(_u1126, _u1128, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u1129))), _u1132), _u1131)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1126), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u1126, _u1127, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1126)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1126), _u1128), c_Com_Ocom_OCond(_u1129, _u1130, _u1132)), _u1131)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1126), tc_HOL_Obool)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__imp__Suc__add ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__imp__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1134), _u1135)) | ( _u1135 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1134), skolem26(_u1135, _u1134)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__imp__add__positive ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__imp__add__positive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1137), _u1138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem27(_u1138, _u1137))) )).
% 28.96/29.16 cnf(fact_less__imp__add__positive-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1137), _u1138)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1137), skolem27(_u1138, _u1137)) = _u1138) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_gr0__implies__Suc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_gr0__implies__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1140)) | ( _u1140 = hAPP(c_Nat_OSuc, skolem28(_u1140))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_lift__Suc__mono__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_lift__Suc__mono__less-1, axiom, ( ~class_Orderings_Oorder(_u1142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1142), hAPP(_u1143, skolem29(_u1145, _u1144, _u1143, _u1142))), hAPP(_u1143, hAPP(c_Nat_OSuc, skolem29(_u1145, _u1144, _u1143, _u1142))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1144), _u1145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1142), hAPP(_u1143, _u1144)), hAPP(_u1143, _u1145))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_lift__Suc__mono__less__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_lift__Suc__mono__less__iff-1, axiom, ( ~class_Orderings_Oorder(_u1147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1147), hAPP(_u1148, skolem30(_u1150, _u1149, _u1148, _u1147))), hAPP(_u1148, hAPP(c_Nat_OSuc, skolem30(_u1150, _u1149, _u1148, _u1147))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1147), hAPP(_u1148, _u1149)), hAPP(_u1148, _u1150))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1149), _u1150)) )).
% 28.96/29.16 cnf(fact_lift__Suc__mono__less__iff-2, axiom, ( ~class_Orderings_Oorder(_u1147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1147), hAPP(_u1148, skolem30(_u1150, _u1149, _u1148, _u1147))), hAPP(_u1148, hAPP(c_Nat_OSuc, skolem30(_u1150, _u1149, _u1148, _u1147))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1149), _u1150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1147), hAPP(_u1148, _u1149)), hAPP(_u1148, _u1150))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_OWhileTrue ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u1151, _u1152)) | ~c_Natural_Oevaln(_u1153, _u1152, _u1154, _u1155) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1151, _u1153), _u1155, _u1154, _u1156) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1151, _u1153), _u1152, _u1154, _u1156) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_OWhileFalse ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u1157, _u1158)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1157, _u1159), _u1158, _u1160, _u1158) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_OWhileFalse ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u1161, _u1162)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1161, _u1163)), _u1162), _u1162)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_OWhileTrue ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u1164, _u1165)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1166), _u1165), _u1167)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1164, _u1166)), _u1167), _u1168)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1164, _u1166)), _u1165), _u1168)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1169, tc_HOL_Obool)), _u1170), _u1171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1169, tc_HOL_Obool)), _u1171), _u1172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1169, tc_HOL_Obool)), _u1170), _u1172)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u1173, hAPP(_u1174, _u1175)) != hAPP(_u1176, hAPP(_u1177, _u1178))) | ( hAPP(hAPP(c_Fun_Ocomp(_u1179, _u1180, _u1181, _u1173), _u1174), _u1175) = hAPP(hAPP(c_Fun_Ocomp(_u1182, _u1180, _u1183, _u1176), _u1177), _u1178)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1184) = _u1184) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I5_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I5_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1189, _u1191) != c_Com_Ocom_OWhile(_u1193, _u1195)) | ( _u1189 = _u1193) )).
% 28.96/29.16 cnf(fact_com_Osimps_I5_J-2, axiom, ( ( c_Com_Ocom_OWhile(_u1189, _u1191) != c_Com_Ocom_OWhile(_u1193, _u1195)) | ( _u1191 = _u1195) )).
% 28.96/29.16 cnf(fact_com_Osimps_I5_J-3, axiom, ( ( _u1190 != _u1194) | ( _u1192 != _u1196) | ( c_Com_Ocom_OWhile(_u1190, _u1192) = c_Com_Ocom_OWhile(_u1194, _u1196)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u1197) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1197), _u1198) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1197), _u1199)) | ( _u1198 = _u1199) )).
% 28.96/29.16 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u1197) | ( _u1198 != _u1199) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1197), _u1198) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1197), _u1199)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1201) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1201 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u1202 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1202) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1207), _u1209)) | ( _u1209 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1207), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem31(_u1209, _u1207))))) )).
% 28.96/29.16 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u1210 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1208), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1204)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1208), _u1210)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1213)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1213), _u1215)) )).
% 28.96/29.16 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1214), _u1216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1214)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1216))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1217)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1218)), _u1219)) = 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), _u1217), _u1218))), _u1219)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1220)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1221)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1220), _u1221))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_Oequations_I8_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_Oequations_I8_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ( _u1237 = _u1233) | hBOOL(hAPP(_u1229, _u1233)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I8_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ( _u1237 = _u1233) | c_Natural_Oevaln(_u1231, _u1233, _u1235, skolem32(_u1237, _u1235, _u1233, _u1231, _u1229)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I8_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ( _u1237 = _u1233) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), skolem32(_u1237, _u1235, _u1233, _u1231, _u1229), _u1235, _u1237) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I8_J-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ~hBOOL(hAPP(_u1229, _u1233)) | c_Natural_Oevaln(_u1231, _u1233, _u1235, skolem32(_u1237, _u1235, _u1233, _u1231, _u1229)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I8_J-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ~hBOOL(hAPP(_u1229, _u1233)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), skolem32(_u1237, _u1235, _u1233, _u1231, _u1229), _u1235, _u1237) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I8_J-6, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1230, _u1232), _u1234, _u1236, _u1238) | ( _u1238 != _u1234) | hBOOL(hAPP(_u1230, _u1234)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I8_J-7, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1230, _u1232), _u1234, _u1236, _u1238) | ~hBOOL(hAPP(_u1230, _u1234)) | ~c_Natural_Oevaln(_u1232, _u1234, _u1236, _u1223) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1230, _u1232), _u1223, _u1236, _u1238) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evaln_Oequations_I7_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evaln_Oequations_I7_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1245, _u1247), _u1249, _u1251, _u1249) | ~hBOOL(hAPP(_u1245, _u1249)) | c_Natural_Oevaln(_u1247, _u1249, _u1251, skolem33(_u1251, _u1249, _u1247, _u1245)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I7_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1245, _u1247), _u1249, _u1251, _u1249) | ~hBOOL(hAPP(_u1245, _u1249)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1245, _u1247), skolem33(_u1251, _u1249, _u1247, _u1245), _u1251, _u1249) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I7_J-3, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1246, _u1248), _u1250, _u1252, _u1250) | hBOOL(hAPP(_u1246, _u1250)) )).
% 28.96/29.16 cnf(fact_evaln_Oequations_I7_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1246, _u1248), _u1250, _u1252, _u1250) | ~c_Natural_Oevaln(_u1248, _u1250, _u1252, _u1240) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1246, _u1248), _u1240, _u1252, _u1250) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_Oequations_I7_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1258, _u1260)), _u1262), _u1262)) | ~hBOOL(hAPP(_u1258, _u1262)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1260), _u1262), skolem34(_u1262, _u1260, _u1258))) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1258, _u1260)), _u1262), _u1262)) | ~hBOOL(hAPP(_u1258, _u1262)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1258, _u1260)), skolem34(_u1262, _u1260, _u1258)), _u1262)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I7_J-3, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1259, _u1261)), _u1263), _u1263)) | hBOOL(hAPP(_u1259, _u1263)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I7_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1259, _u1261)), _u1263), _u1263)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1261), _u1263), _u1254)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1259, _u1261)), _u1254), _u1263)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_evalc_Oequations_I8_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_evalc_Oequations_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ( _u1276 = _u1274) | hBOOL(hAPP(_u1270, _u1274)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ( _u1276 = _u1274) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1272), _u1274), skolem35(_u1276, _u1274, _u1272, _u1270))) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ( _u1276 = _u1274) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), skolem35(_u1276, _u1274, _u1272, _u1270)), _u1276)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I8_J-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ~hBOOL(hAPP(_u1270, _u1274)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1272), _u1274), skolem35(_u1276, _u1274, _u1272, _u1270))) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I8_J-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ~hBOOL(hAPP(_u1270, _u1274)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), skolem35(_u1276, _u1274, _u1272, _u1270)), _u1276)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I8_J-6, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1271, _u1273)), _u1275), _u1277)) | ( _u1277 != _u1275) | hBOOL(hAPP(_u1271, _u1275)) )).
% 28.96/29.16 cnf(fact_evalc_Oequations_I8_J-7, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1271, _u1273)), _u1275), _u1277)) | ~hBOOL(hAPP(_u1271, _u1275)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1273), _u1275), _u1265)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1271, _u1273)), _u1265), _u1277)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I58_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I58_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1278, _u1279) != hAPP(c_Com_Ocom_OBODY, _u1280)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I59_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I59_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u1281) != c_Com_Ocom_OWhile(_u1282, _u1283)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I52_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I52_J-1, axiom, ( ( c_Com_Ocom_OCond(_u1284, _u1285, _u1286) != c_Com_Ocom_OWhile(_u1287, _u1288)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I53_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I53_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1289, _u1290) != c_Com_Ocom_OCond(_u1291, _u1292, _u1293)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I29_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I29_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1294, _u1295) != c_Com_Ocom_OAss(_u1296, _u1297)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I28_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I28_J-1, axiom, ( ( c_Com_Ocom_OAss(_u1298, _u1299) != c_Com_Ocom_OWhile(_u1300, _u1301)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I61_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I61_J-1, axiom, ( ( c_Com_Ocom_OCall(_u1302, _u1303, _u1304) != c_Com_Ocom_OWhile(_u1305, _u1306)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I60_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I60_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1307, _u1308) != c_Com_Ocom_OCall(_u1309, _u1310, _u1311)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I46_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I46_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1312, _u1313) != c_Com_Ocom_OWhile(_u1314, _u1315)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I47_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I47_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1316, _u1317) != c_Com_Ocom_OSemi(_u1318, _u1319)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I38_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I38_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u1320, _u1321, _u1322) != c_Com_Ocom_OWhile(_u1323, _u1324)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I39_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I39_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1325, _u1326) != c_Com_Ocom_OLocal(_u1327, _u1328, _u1329)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I16_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I16_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u1330, _u1331)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_com_Osimps_I17_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_com_Osimps_I17_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1332, _u1333) != c_Com_Ocom_OSKIP) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Loop ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_Loop-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u1334, _u1335, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1334)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1334), c_Hoare__Mirabelle_Opeek__and(_u1334, _u1336, _u1337)), _u1338), _u1336)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1334), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u1334, _u1335, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1334)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1334), _u1336), c_Com_Ocom_OWhile(_u1337, _u1338)), c_Hoare__Mirabelle_Opeek__and(_u1334, _u1336, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u1337)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1334), tc_HOL_Obool)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1340)) )).
% 28.96/29.16 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)), _u1341)) | 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), _u1341))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1342), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1342), _u1343)), c_Groups_Ozero__class_Ozero(_u1342))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u1344) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1344), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u1344)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1345), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1345), _u1346)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1345), _u1347))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1346), _u1347)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1349), _u1350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1348), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1348), _u1349)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1348), _u1350))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1351), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1351), _u1352)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1351), _u1353))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1352), _u1353)) )).
% 28.96/29.16 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1352), _u1353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1351), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1351), _u1352)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1351), _u1353))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u1354) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1354), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1355), _u1356)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1354), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1354), _u1355)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1354), _u1356))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u1357, _u1358, _u1359, _u1360), hAPP(c_Fun_Ocomp(_u1361, _u1357, _u1359, _u1362), _u1363)) = hAPP(c_Fun_Ocomp(_u1361, _u1358, _u1359, hAPP(c_Fun_Ocomp(_u1357, _u1358, _u1361, _u1360), _u1362)), _u1363)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u1364, _u1365, _u1366, _u1367), _u1368), _u1369) = hAPP(_u1367, hAPP(_u1368, _u1369))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u1373, hAPP(_u1374, _u1376)) = hAPP(_u1375, _u1376)) | ( hAPP(c_Fun_Ocomp(_u1370, _u1371, _u1372, _u1373), _u1374) != _u1375) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u1380, hAPP(_u1381, _u1385)) = hAPP(_u1383, hAPP(_u1384, _u1385))) | ( hAPP(c_Fun_Ocomp(_u1377, _u1378, _u1379, _u1380), _u1381) != hAPP(c_Fun_Ocomp(_u1382, _u1378, _u1379, _u1383), _u1384)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u1390, hAPP(_u1391, _u1386)) = hAPP(_u1393, hAPP(_u1394, _u1386))) | ( hAPP(c_Fun_Ocomp(_u1387, _u1388, _u1389, _u1390), _u1391) != hAPP(c_Fun_Ocomp(_u1392, _u1388, _u1389, _u1393), _u1394)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1395)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1396)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1395), _u1396))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1399)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1399), _u1401)) )).
% 28.96/29.16 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1400), _u1402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1400)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1402))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1403)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1404), _u1405)) | ( _u1404 = _u1405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1405), _u1404)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1406), _u1407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1406), _u1408)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1407), _u1408))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1411) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1413)) | ( _u1411 = _u1413) )).
% 28.96/29.16 cnf(fact_int__int__eq-2, axiom, ( ( _u1412 != _u1414) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1412) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1414)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1417) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1419)) | ( _u1417 = _u1419) )).
% 28.96/29.16 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u1418 != _u1420) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1418) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1420)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1421), _u1422)), _u1423) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1422), _u1423))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1424), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1425), _u1426)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1424), _u1426))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1427), _u1428) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1428), _u1427)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1429), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1429) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1430) = _u1430) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 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))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 28.96/29.16 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)), _u1432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem36(_u1432))) )).
% 28.96/29.16 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)), _u1432)) | ( _u1432 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem36(_u1432))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), hAPP(c_Int_Oring__1__class_Oof__int(_u1433), _u1434)), c_Groups_Ozero__class_Ozero(_u1433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1434), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.16 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1434), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), hAPP(c_Int_Oring__1__class_Oof__int(_u1433), _u1434)), c_Groups_Ozero__class_Ozero(_u1433))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1435), c_Groups_Ozero__class_Ozero(_u1435)), hAPP(c_Int_Oring__1__class_Oof__int(_u1435), _u1436))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1436)) )).
% 28.96/29.16 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1435), c_Groups_Ozero__class_Ozero(_u1435)), hAPP(c_Int_Oring__1__class_Oof__int(_u1435), _u1436))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1437), _u1438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1439)) | 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), _u1439)), _u1437)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1439)), _u1438))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 28.96/29.16 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, _u1440)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u1445, hAPP(c_Int_Onat, _u1447))) | ( _u1447 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1441)) | hBOOL(hAPP(_u1445, _u1441)) )).
% 28.96/29.16 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u1445, hAPP(c_Int_Onat, _u1447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u1445, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u1446, hAPP(c_Int_Onat, _u1448))) | ( _u1448 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem37(_u1448, _u1446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.16 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u1446, hAPP(c_Int_Onat, _u1448))) | ( _u1448 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem37(_u1448, _u1446))) | ~hBOOL(hAPP(_u1446, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u1446, hAPP(c_Int_Onat, _u1448))) | ~hBOOL(hAPP(_u1446, skolem37(_u1448, _u1446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.16 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u1446, hAPP(c_Int_Onat, _u1448))) | ~hBOOL(hAPP(_u1446, skolem37(_u1448, _u1446))) | ~hBOOL(hAPP(_u1446, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 28.96/29.16 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, _u1450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1450)) )).
% 28.96/29.16 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)), _u1451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1451))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 28.96/29.16 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, _u1452)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1453))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u1454, _u1454), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1455), _u1456)), _u1457) = hAPP(c_Fun_Ocomp(_u1454, _u1454, _u1454, hAPP(hAPP(c_Nat_Ocompow(_u1454, _u1454), _u1455), _u1457)), hAPP(hAPP(c_Nat_Ocompow(_u1454, _u1454), _u1456), _u1457))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u1458, _u1458), hAPP(c_Nat_OSuc, _u1459)), _u1460) = hAPP(c_Fun_Ocomp(_u1458, _u1458, _u1458, _u1460), hAPP(hAPP(c_Nat_Ocompow(_u1458, _u1458), _u1459), _u1460))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u1461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1462) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1463), _u1463)) | ( _u1462 = _u1463) | ( _u1462 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1461), _u1463)) )).
% 28.96/29.16 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u1461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1462) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1463), _u1463)) | ( _u1462 != _u1463) )).
% 28.96/29.16 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u1461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1462) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1463), _u1463)) | ( _u1462 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1461), _u1463)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1464) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), _u1465), _u1466)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), _u1467), _u1468)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), _u1465), _u1467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), _u1466), _u1468))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1469) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), _u1470), _u1471)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), _u1472), _u1473)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), _u1472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), _u1470), _u1471)), _u1473))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1474) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1475), _u1476)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1477), _u1478)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1476), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1477), _u1478)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1479) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), _u1480), _u1481)), _u1482) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), _u1480), _u1482)), _u1481)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1483), _u1484)), _u1485) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1483), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1484), _u1485))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1486) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1486), _u1487), _u1488)), _u1489) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1486), _u1487), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1486), _u1488), _u1489))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u1490) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1490), hAPP(c_Groups_Ouminus__class_Ouminus(_u1490), _u1491)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1490), _u1492)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1490), _u1491), _u1492)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1493) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1493), _u1494) != hAPP(c_Int_Oring__1__class_Oof__int(_u1493), _u1495)) | ( _u1494 = _u1495) )).
% 28.96/29.16 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1493) | ( _u1494 != _u1495) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1493), _u1494) = hAPP(c_Int_Oring__1__class_Oof__int(_u1493), _u1495)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u1496) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1496), hAPP(c_Groups_Ouminus__class_Ouminus(_u1496), _u1497)), _u1498) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1496), _u1497), hAPP(c_Groups_Ouminus__class_Ouminus(_u1496), _u1498))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1499)), _u1500) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1499), _u1500))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1501) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1501), _u1502), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1501), _u1503), _u1504)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1501), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1501), _u1502), _u1503)), _u1504)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1505) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1505), _u1506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1505), _u1507), _u1508)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1505), _u1507), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1505), _u1506), _u1508))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1509), _u1510) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1510), _u1509)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1511) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1511), _u1512), _u1513) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1511), _u1513), _u1512)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u1514) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1514), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1515), _u1516)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1514), hAPP(c_Int_Oring__1__class_Oof__int(_u1514), _u1515)), hAPP(c_Int_Oring__1__class_Oof__int(_u1514), _u1516))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u1517) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1517), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1517), _u1518), _u1519)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1517), hAPP(c_Groups_Ouminus__class_Ouminus(_u1517), _u1518)), _u1519)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u1520) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1520), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1520), _u1521), _u1522)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1520), _u1521), hAPP(c_Groups_Ouminus__class_Ouminus(_u1520), _u1522))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u1523) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1523), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1524)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1523), hAPP(c_Int_Oring__1__class_Oof__int(_u1523), _u1524))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1525)) = _u1525) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1526) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1526), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1526), _u1527), _u1528)), _u1529) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1526), _u1527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1526), _u1528), _u1529))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1530) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1530), _u1531) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1530), _u1532)) | ( _u1531 = _u1532) )).
% 28.96/29.16 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1530) | ( _u1531 != _u1532) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1530), _u1531) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1530), _u1532)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1533) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1533), _u1534) != _u1535) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1533), _u1535) = _u1534) )).
% 28.96/29.16 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1533) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1533), _u1535) != _u1534) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1533), _u1534) = _u1535) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1536) | ( _u1537 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1536), _u1538)) | ( _u1538 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1536), _u1537)) )).
% 28.96/29.16 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1536) | ( _u1538 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1536), _u1537)) | ( _u1537 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1536), _u1538)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1539) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1539), hAPP(c_Groups_Ouminus__class_Ouminus(_u1539), _u1540)) = _u1540) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u1541, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u1542, _u1542), _u1543), _u1541), _u1544)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u1542, _u1542), _u1543), _u1541), hAPP(_u1541, _u1544))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u1545) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1545), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1546), _u1547)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1545), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1545), _u1546)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1545), _u1547))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u1548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1548), _u1549) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1548), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1548), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1549))))) )).
% 28.96/29.16 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u1548) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1548), _u1549) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1548), hAPP(c_Int_Onat, _u1549))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u1550, _u1551), tc_fun(_u1550, _u1551)), _u1552), c_Fun_Ocomp(_u1551, _u1551, _u1550, _u1553)) = c_Fun_Ocomp(_u1551, _u1551, _u1550, hAPP(hAPP(c_Nat_Ocompow(_u1551, _u1551), _u1552), _u1553))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1554))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u1555) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1555), c_Groups_Ozero__class_Ozero(_u1555)) = c_Groups_Ozero__class_Ozero(_u1555)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1556) | ( c_Groups_Ozero__class_Ozero(_u1556) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1556), _u1557)) | ( c_Groups_Ozero__class_Ozero(_u1556) = _u1557) )).
% 28.96/29.16 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1556) | ( c_Groups_Ozero__class_Ozero(_u1556) != _u1557) | ( c_Groups_Ozero__class_Ozero(_u1556) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1556), _u1557)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1558) | ( _u1559 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1558), _u1559)) | ( _u1559 = c_Groups_Ozero__class_Ozero(_u1558)) )).
% 28.96/29.16 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1558) | ( _u1559 != c_Groups_Ozero__class_Ozero(_u1558)) | ( _u1559 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1558), _u1559)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1560) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1560), _u1561) != c_Groups_Ozero__class_Ozero(_u1560)) | ( _u1561 = c_Groups_Ozero__class_Ozero(_u1560)) )).
% 28.96/29.16 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1560) | ( _u1561 != c_Groups_Ozero__class_Ozero(_u1560)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1560), _u1561) = c_Groups_Ozero__class_Ozero(_u1560)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1562) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1562), _u1563) != _u1563) | ( _u1563 = c_Groups_Ozero__class_Ozero(_u1562)) )).
% 28.96/29.16 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1562) | ( _u1563 != c_Groups_Ozero__class_Ozero(_u1562)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1562), _u1563) = _u1563) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1564), hAPP(c_Groups_Ouminus__class_Ouminus(_u1564), _u1565)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1564), _u1566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1564), _u1566), _u1565)) )).
% 28.96/29.16 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1564), _u1566), _u1565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1564), hAPP(c_Groups_Ouminus__class_Ouminus(_u1564), _u1565)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1564), _u1566))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1567), hAPP(c_Groups_Ouminus__class_Ouminus(_u1567), _u1568)), _u1569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1567), hAPP(c_Groups_Ouminus__class_Ouminus(_u1567), _u1569)), _u1568)) )).
% 28.96/29.16 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1567), hAPP(c_Groups_Ouminus__class_Ouminus(_u1567), _u1569)), _u1568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1567), hAPP(c_Groups_Ouminus__class_Ouminus(_u1567), _u1568)), _u1569)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), _u1571), hAPP(c_Groups_Ouminus__class_Ouminus(_u1570), _u1572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), _u1572), hAPP(c_Groups_Ouminus__class_Ouminus(_u1570), _u1571))) )).
% 28.96/29.16 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), _u1572), hAPP(c_Groups_Ouminus__class_Ouminus(_u1570), _u1571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), _u1571), hAPP(c_Groups_Ouminus__class_Ouminus(_u1570), _u1572))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1573) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1573), hAPP(c_Groups_Ouminus__class_Ouminus(_u1573), _u1574)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1573), _u1574), _u1575)) = _u1575) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1576) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1576), _u1577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1576), hAPP(c_Groups_Ouminus__class_Ouminus(_u1576), _u1577)), _u1578)) = _u1578) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u1579) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1579), _u1580), _u1581)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1579), hAPP(c_Groups_Ouminus__class_Ouminus(_u1579), _u1581)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1579), _u1580))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u1582) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1582), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1582), _u1583), _u1584)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1582), hAPP(c_Groups_Ouminus__class_Ouminus(_u1582), _u1583)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1582), _u1584))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u1585) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1585), c_Groups_Ozero__class_Ozero(_u1585)), _u1586) = c_Groups_Ozero__class_Ozero(_u1585)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1587), c_Groups_Ozero__class_Ozero(_u1587)), _u1588) = c_Groups_Ozero__class_Ozero(_u1587)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u1589) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1589), _u1590), c_Groups_Ozero__class_Ozero(_u1589)) = c_Groups_Ozero__class_Ozero(_u1589)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1591) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1591), _u1592), c_Groups_Ozero__class_Ozero(_u1591)) = c_Groups_Ozero__class_Ozero(_u1591)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1593) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1593), _u1594), _u1595) != c_Groups_Ozero__class_Ozero(_u1593)) | ( _u1594 = c_Groups_Ozero__class_Ozero(_u1593)) | ( _u1595 = c_Groups_Ozero__class_Ozero(_u1593)) )).
% 28.96/29.16 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1593) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1593), _u1594), _u1595) = c_Groups_Ozero__class_Ozero(_u1593)) | ( _u1594 != c_Groups_Ozero__class_Ozero(_u1593)) )).
% 28.96/29.16 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1593) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1593), _u1594), _u1595) = c_Groups_Ozero__class_Ozero(_u1593)) | ( _u1595 != c_Groups_Ozero__class_Ozero(_u1593)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u1596) | ( _u1597 = c_Groups_Ozero__class_Ozero(_u1596)) | ( _u1598 = c_Groups_Ozero__class_Ozero(_u1596)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1596), _u1597), _u1598) != c_Groups_Ozero__class_Ozero(_u1596)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u1599) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), _u1600), _u1601) != c_Groups_Ozero__class_Ozero(_u1599)) | ( _u1600 = c_Groups_Ozero__class_Ozero(_u1599)) | ( _u1601 = c_Groups_Ozero__class_Ozero(_u1599)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1602)) = _u1602) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1603) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1603), _u1605), _u1606)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), _u1605)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), _u1606))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1607) | ( _u1608 = _u1609) | ( _u1610 = _u1611) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1611)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1610))) )).
% 28.96/29.16 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1607) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1611)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1610))) | ( _u1608 != _u1609) )).
% 28.96/29.16 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1607) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1611)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1610))) | ( _u1610 != _u1611) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u1612) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1612), _u1613), _u1614)), _u1615) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1612), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1613), _u1615)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1614), _u1615))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1616) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1616), _u1617), _u1618)), _u1619) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1616), _u1617), _u1619)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1616), _u1618), _u1619))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1620) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), _u1621), _u1622)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), _u1623), _u1622)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1620), _u1621), _u1623)), _u1622)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u1624) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1624), _u1625), _u1626)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1624), _u1627), _u1626)), _u1628)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1624), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1624), _u1625), _u1627)), _u1626)), _u1628)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1629) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1633)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1631))) | ( _u1630 = _u1632) | ( _u1631 = _u1633) )).
% 28.96/29.16 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1629) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1633)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1631))) | ( _u1630 != _u1632) )).
% 28.96/29.16 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1629) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1633)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1631))) | ( _u1631 != _u1633) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1634), _u1635)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1634)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1635))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1636), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1637), _u1638)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1636), _u1637)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1636), _u1638))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1639), _u1640)), _u1641) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1639), _u1641)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1640), _u1641))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1642)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1642)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), hAPP(c_Groups_Ouminus__class_Ouminus(_u1643), _u1644)), _u1644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), c_Groups_Ozero__class_Ozero(_u1643)), _u1644)) )).
% 28.96/29.16 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), c_Groups_Ozero__class_Ozero(_u1643)), _u1644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), hAPP(c_Groups_Ouminus__class_Ouminus(_u1643), _u1644)), _u1644)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1645), hAPP(c_Groups_Ouminus__class_Ouminus(_u1645), _u1646)), c_Groups_Ozero__class_Ozero(_u1645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1645), c_Groups_Ozero__class_Ozero(_u1645)), _u1646)) )).
% 28.96/29.16 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1645), c_Groups_Ozero__class_Ozero(_u1645)), _u1646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1645), hAPP(c_Groups_Ouminus__class_Ouminus(_u1645), _u1646)), c_Groups_Ozero__class_Ozero(_u1645))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1647), c_Groups_Ozero__class_Ozero(_u1647)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1647), _u1648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1647), _u1648), c_Groups_Ozero__class_Ozero(_u1647))) )).
% 28.96/29.16 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1647), _u1648), c_Groups_Ozero__class_Ozero(_u1647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1647), c_Groups_Ozero__class_Ozero(_u1647)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1647), _u1648))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), c_Groups_Ozero__class_Ozero(_u1649))) )).
% 28.96/29.16 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), c_Groups_Ozero__class_Ozero(_u1649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1650))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u1651) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1651), _u1652), _u1653) != c_Groups_Ozero__class_Ozero(_u1651)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1651), _u1652) = _u1653) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u1654) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1654), hAPP(c_Groups_Ouminus__class_Ouminus(_u1654), _u1655)), _u1655) = c_Groups_Ozero__class_Ozero(_u1654)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1656) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1656), hAPP(c_Groups_Ouminus__class_Ouminus(_u1656), _u1657)), _u1657) = c_Groups_Ozero__class_Ozero(_u1656)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u1658) | ( _u1659 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1658), _u1660)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1658), _u1659), _u1660) = c_Groups_Ozero__class_Ozero(_u1658)) )).
% 28.96/29.16 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u1658) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1658), _u1659), _u1660) != c_Groups_Ozero__class_Ozero(_u1658)) | ( _u1659 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1658), _u1660)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1661) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1661), _u1662), hAPP(c_Groups_Ouminus__class_Ouminus(_u1661), _u1662)) = c_Groups_Ozero__class_Ozero(_u1661)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 28.96/29.16 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)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 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))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1663), _u1664), _u1664)), c_Groups_Ozero__class_Ozero(_u1663))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), c_Groups_Ozero__class_Ozero(_u1665)), _u1667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1667), c_Groups_Ozero__class_Ozero(_u1665))) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), c_Groups_Ozero__class_Ozero(_u1665)), _u1667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1668), _u1666)) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1667), c_Groups_Ozero__class_Ozero(_u1665))) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1668), _u1666)) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1665) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), c_Groups_Ozero__class_Ozero(_u1665)), _u1667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1668)) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1665) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1667), c_Groups_Ozero__class_Ozero(_u1665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1668), _u1666)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), c_Groups_Ozero__class_Ozero(_u1669)), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1670), c_Groups_Ozero__class_Ozero(_u1669))) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), c_Groups_Ozero__class_Ozero(_u1669)), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1672), _u1671)) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1671), _u1672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1670), c_Groups_Ozero__class_Ozero(_u1669))) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1671), _u1672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1672), _u1671)) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), c_Groups_Ozero__class_Ozero(_u1669)), _u1670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1671), _u1672)) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1670), c_Groups_Ozero__class_Ozero(_u1669))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1672), _u1671)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), c_Groups_Ozero__class_Ozero(_u1673)), _u1674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1673), _u1674), _u1675)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1673), _u1674), _u1676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1676)) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), c_Groups_Ozero__class_Ozero(_u1673)), _u1674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1673), _u1674), _u1675)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1673), _u1674), _u1676))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), c_Groups_Ozero__class_Ozero(_u1677)), _u1678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), c_Groups_Ozero__class_Ozero(_u1677)), _u1679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), c_Groups_Ozero__class_Ozero(_u1677)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1678), _u1679))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), c_Groups_Ozero__class_Ozero(_u1680)), _u1681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), _u1682), c_Groups_Ozero__class_Ozero(_u1680))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1680), _u1681), _u1682)), c_Groups_Ozero__class_Ozero(_u1680))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1683), c_Groups_Ozero__class_Ozero(_u1683)), _u1684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1683), _u1685), c_Groups_Ozero__class_Ozero(_u1683))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1683), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1683), _u1685), _u1684)), c_Groups_Ozero__class_Ozero(_u1683))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), c_Groups_Ozero__class_Ozero(_u1686)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), _u1687), _u1688))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), c_Groups_Ozero__class_Ozero(_u1686)), _u1687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), c_Groups_Ozero__class_Ozero(_u1686)), _u1688)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1689), c_Groups_Ozero__class_Ozero(_u1689)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1689), _u1690), _u1691))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1689), c_Groups_Ozero__class_Ozero(_u1689)), _u1691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1689), c_Groups_Ozero__class_Ozero(_u1689)), _u1690)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1693), c_Groups_Ozero__class_Ozero(_u1692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1692), _u1693), _u1694)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1692), _u1693), _u1695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1695), _u1694)) )).
% 28.96/29.16 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1693), c_Groups_Ozero__class_Ozero(_u1692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1695), _u1694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1692), _u1693), _u1694)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1692), _u1693), _u1695))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), _u1697), c_Groups_Ozero__class_Ozero(_u1696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), c_Groups_Ozero__class_Ozero(_u1696)), _u1698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1696), _u1697), _u1698)), c_Groups_Ozero__class_Ozero(_u1696))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1699), _u1700), c_Groups_Ozero__class_Ozero(_u1699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1699), _u1701), c_Groups_Ozero__class_Ozero(_u1699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1699), c_Groups_Ozero__class_Ozero(_u1699)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1699), _u1700), _u1701))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1702), _u1703), _u1704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1702), c_Groups_Ozero__class_Ozero(_u1702)), _u1705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1702), _u1703), _u1705)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1702), _u1704), _u1705))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), _u1707), _u1708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), c_Groups_Ozero__class_Ozero(_u1706)), _u1709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1706), _u1709), _u1707)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1706), _u1709), _u1708))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u1710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1710), _u1711), _u1712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1710), c_Groups_Ozero__class_Ozero(_u1710)), _u1713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1710), _u1713), _u1711)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1710), _u1713), _u1712))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1714), _u1715), _u1716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1714), _u1717), c_Groups_Ozero__class_Ozero(_u1714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1714), _u1716), _u1717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1714), _u1715), _u1717))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1719), _u1720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1721), c_Groups_Ozero__class_Ozero(_u1718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1718), _u1721), _u1720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1718), _u1721), _u1719))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1722) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1723), _u1723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1724), _u1724)) != c_Groups_Ozero__class_Ozero(_u1722)) | ( _u1723 = c_Groups_Ozero__class_Ozero(_u1722)) )).
% 28.96/29.16 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1722) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1723), _u1723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1724), _u1724)) != c_Groups_Ozero__class_Ozero(_u1722)) | ( _u1724 = c_Groups_Ozero__class_Ozero(_u1722)) )).
% 28.96/29.16 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1722) | ( _u1723 != c_Groups_Ozero__class_Ozero(_u1722)) | ( _u1724 != c_Groups_Ozero__class_Ozero(_u1722)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1723), _u1723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1724), _u1724)) = c_Groups_Ozero__class_Ozero(_u1722)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1725) | ( _u1726 = c_Groups_Ozero__class_Ozero(_u1725)) | ( _u1727 != _u1728) | ( _u1729 = _u1730) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1725), _u1727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1725), _u1726), _u1729)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1725), _u1728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1725), _u1726), _u1730))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1731)), _u1731) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1734)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1736)) | ( _u1734 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 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), _u1734)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1736)) | ( _u1736 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_negative__eq__positive-3, axiom, ( ( _u1735 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1737 != 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), _u1735)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1737)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1738)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1739)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1740), _u1741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1742), _u1740)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1742), _u1741))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u1743) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1743), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u1743)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1744) | ( c_Groups_Ozero__class_Ozero(_u1744) != hAPP(c_Int_Oring__1__class_Oof__int(_u1744), _u1745)) | ( _u1745 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.16 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1744) | ( _u1745 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u1744) = hAPP(c_Int_Oring__1__class_Oof__int(_u1744), _u1745)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1746) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1746), _u1747) != c_Groups_Ozero__class_Ozero(_u1746)) | ( _u1747 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.16 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1746) | ( _u1747 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1746), _u1747) = c_Groups_Ozero__class_Ozero(_u1746)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(c_Int_Oring__1__class_Oof__int(_u1748), _u1749)), hAPP(c_Int_Oring__1__class_Oof__int(_u1748), _u1750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1749), _u1750)) )).
% 28.96/29.16 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1749), _u1750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(c_Int_Oring__1__class_Oof__int(_u1748), _u1749)), hAPP(c_Int_Oring__1__class_Oof__int(_u1748), _u1750))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u1751) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1752), _u1753)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1751), hAPP(c_Int_Oring__1__class_Oof__int(_u1751), _u1752)), hAPP(c_Int_Oring__1__class_Oof__int(_u1751), _u1753))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u1754) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1754), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1755)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1754), _u1755)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 28.96/29.16 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)), _u1756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1757)), hAPP(c_Int_Onat, _u1756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1757), _u1756)) )).
% 28.96/29.16 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)), _u1756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1757), _u1756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1757)), hAPP(c_Int_Onat, _u1756))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1760)), hAPP(c_Int_Onat, _u1762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1762)) )).
% 28.96/29.16 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1760)), hAPP(c_Int_Onat, _u1762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1760), _u1762)) )).
% 28.96/29.16 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)), _u1763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1761), _u1763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1761)), hAPP(c_Int_Onat, _u1763))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1766), hAPP(c_Int_Onat, _u1768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1766)), _u1768)) )).
% 28.96/29.16 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), _u1767)), _u1769)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1767), hAPP(c_Int_Onat, _u1769))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1770), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1771)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1772))), c_Groups_Ozero__class_Ozero(_u1770))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), c_Groups_Ozero__class_Ozero(_u1773)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1774), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1775), _u1775)))) | ( _u1774 != c_Groups_Ozero__class_Ozero(_u1773)) | ( _u1775 != c_Groups_Ozero__class_Ozero(_u1773)) )).
% 28.96/29.16 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1773) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), c_Groups_Ozero__class_Ozero(_u1773)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1774), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1775), _u1775)))) | ( _u1774 = c_Groups_Ozero__class_Ozero(_u1773)) )).
% 28.96/29.16 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1773) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), c_Groups_Ozero__class_Ozero(_u1773)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1774), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1775), _u1775)))) | ( _u1775 = c_Groups_Ozero__class_Ozero(_u1773)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u1776, _u1777) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u1776)), _u1777)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u1778) = c_Nat_Ocompow(_u1778, _u1778)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_negD ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u1780 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem38(_u1780))))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 28.96/29.16 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)), _u1781)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1781)), _u1782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1781), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1782))) )).
% 28.96/29.16 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)), _u1781)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1781), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1781)), _u1782)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 28.96/29.16 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, _u1784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1784)) )).
% 28.96/29.16 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)), _u1785)) | 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, _u1785))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u1786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1787)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1786), hAPP(c_Int_Onat, _u1787)) = hAPP(c_Int_Oring__1__class_Oof__int(_u1786), _u1787)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 28.96/29.16 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, _u1788))))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 28.96/29.16 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)), _u1789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1790)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1789), _u1790)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u1789)), hAPP(c_Int_Onat, _u1790))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 28.96/29.16 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)), _u1791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1792)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u1791)), hAPP(c_Int_Onat, _u1792)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1791), _u1792))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u1795) != _u1797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1795)) | ( _u1795 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1797)) )).
% 28.96/29.16 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u1795) != _u1797) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1795)) | ( _u1797 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u1796) = _u1798) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1796)) | ( _u1798 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u1796) = _u1798) | ( _u1796 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1796)) )).
% 28.96/29.16 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u1796) = _u1798) | ( _u1796 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1798)) | ( _u1798 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u1799) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1799), _u1800), _u1800)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1801))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1802))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1803), _u1804)), _u1805) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1803), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1804), _u1805))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1806), _u1807) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1807), _u1806)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u1810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1811, _u1810)), _u1812), _u1813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1810), hAPP(_u1812, _u1808)), hAPP(_u1813, _u1808))) )).
% 28.96/29.16 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u1810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1810), hAPP(_u1812, skolem39(_u1813, _u1812, _u1811, _u1810))), hAPP(_u1813, skolem39(_u1813, _u1812, _u1811, _u1810)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1811, _u1810)), _u1812), _u1813)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1815), _u1816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1816), _u1815)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u1817) | ( _u1818 != _u1819) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) )).
% 28.96/29.16 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u1817) | ( _u1818 != _u1819) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1819), _u1818)) )).
% 28.96/29.16 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u1817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1819), _u1818)) | ( _u1818 = _u1819) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u1820) | ( _u1821 != _u1822) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1820), _u1821), _u1822)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u1823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1824, _u1823)), _u1825), _u1826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1823), hAPP(_u1825, _u1827)), hAPP(_u1826, _u1827))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u1828) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1829), _u1830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1830), _u1829)) | ( _u1830 = _u1829) )).
% 28.96/29.16 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u1828) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1829), _u1830)) | ( _u1830 != _u1829) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1830), _u1829)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u1831) | ( _u1832 != _u1833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1831), _u1833), _u1834)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1831), _u1832), _u1834)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u1835) | ( _u1836 != _u1837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1835), _u1838), _u1837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1835), _u1838), _u1836)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1839) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1839), _u1840), _u1841)) | ( _u1841 != _u1842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1839), _u1840), _u1842)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u1843) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1843), _u1844), _u1845)) | ( _u1844 != _u1846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1843), _u1846), _u1845)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u1847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1847), _u1848), _u1849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1847), _u1849), _u1848)) | ( _u1848 = _u1849) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1850), _u1851), _u1852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1850), _u1852), _u1853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1850), _u1851), _u1853)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1854), _u1855), _u1856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1854), _u1856), _u1855)) | ( _u1856 = _u1855) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u1857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1857), _u1858), _u1859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1857), _u1860), _u1858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1857), _u1860), _u1859)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u1861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1862, _u1861)), _u1863), _u1864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1861), hAPP(_u1863, _u1865)), hAPP(_u1864, _u1865))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1866) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1866), _u1867), _u1868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1866), _u1868), _u1867)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u1869) | ( c_Groups_Oone__class_Oone(_u1869) != _u1870) | ( _u1870 = c_Groups_Oone__class_Oone(_u1869)) )).
% 28.96/29.16 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u1869) | ( _u1870 != c_Groups_Oone__class_Oone(_u1869)) | ( c_Groups_Oone__class_Oone(_u1869) = _u1870) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1871), _u1871)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1872), _u1873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1873), _u1872)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1874), _u1875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1875), _u1876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1874), _u1876)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1877), _u1878)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1878), _u1877)) | ( _u1877 = _u1878) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1879), c_Groups_Oone__class_Oone(_u1879)), c_Groups_Ozero__class_Ozero(_u1879))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1880) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1880), c_Groups_Ozero__class_Ozero(_u1880)), c_Groups_Oone__class_Oone(_u1880))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 28.96/29.16 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))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u1881) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1881), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1881)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1882), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1882), _u1883)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1882), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1883), _u1884)) )).
% 28.96/29.16 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1883), _u1884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1882), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1882), _u1883)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1882), _u1884))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1885), hAPP(c_Int_Oring__1__class_Oof__int(_u1885), _u1886)), hAPP(c_Int_Oring__1__class_Oof__int(_u1885), _u1887))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1886), _u1887)) )).
% 28.96/29.16 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1886), _u1887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1885), hAPP(c_Int_Oring__1__class_Oof__int(_u1885), _u1886)), hAPP(c_Int_Oring__1__class_Oof__int(_u1885), _u1887))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u1888) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1888), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u1888)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u1889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1889), c_Groups_Ozero__class_Ozero(_u1889)), _u1890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1889), c_Groups_Ozero__class_Ozero(_u1889)), _u1891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1889), _u1891), c_Groups_Oone__class_Oone(_u1889))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1891), _u1890)), _u1890)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u1892) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), c_Groups_Ozero__class_Ozero(_u1892)), _u1893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), c_Groups_Ozero__class_Ozero(_u1892)), _u1894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), _u1894), c_Groups_Oone__class_Oone(_u1892))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1894)), _u1893)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 28.96/29.16 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)), _u1896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1896)) )).
% 28.96/29.16 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)), _u1897)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1897)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1900), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1902), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1900), _u1902)) )).
% 28.96/29.16 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1901), _u1903)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1901), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1903), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 28.96/29.16 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), _u1906), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u1908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1906), _u1908)) )).
% 28.96/29.16 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1907), _u1909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1907), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u1909)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1910), _u1911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1910), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u1911)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u1912) | ( c_Groups_Ozero__class_Ozero(_u1912) != c_Groups_Oone__class_Oone(_u1912)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u1913) | ( c_Groups_Oone__class_Oone(_u1913) != c_Groups_Ozero__class_Ozero(_u1913)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u1914) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1914), _u1915), _u1916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1916), _u1915)) )).
% 28.96/29.16 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u1914) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1916), _u1915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1914), _u1915), _u1916)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u1917) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), _u1919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1917), _u1919), _u1918)) )).
% 28.96/29.16 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u1917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1917), _u1919), _u1918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), _u1919)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1920) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1920), _u1921), _u1922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1920), _u1922), _u1921)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u1923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1923), _u1924), _u1925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1923), _u1924), _u1925)) )).
% 28.96/29.16 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u1923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1923), _u1924), _u1925)) | ( _u1924 != _u1925) )).
% 28.96/29.16 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u1923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1923), _u1924), _u1925)) | ( _u1924 = _u1925) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1923), _u1924), _u1925)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u1926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1926), _u1927), _u1928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1926), _u1927), _u1928)) )).
% 28.96/29.16 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u1926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1926), _u1927), _u1928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1926), _u1928), _u1927)) )).
% 28.96/29.16 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u1926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1926), _u1927), _u1928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1926), _u1928), _u1927)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1926), _u1927), _u1928)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u1929) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1929), _u1930), _u1931)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1929), _u1930), _u1931)) | ( _u1930 = _u1931) )).
% 28.96/29.16 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u1929) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1929), _u1930), _u1931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1929), _u1930), _u1931)) )).
% 28.96/29.16 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u1929) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1929), _u1930), _u1931)) | ( _u1930 != _u1931) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_leI ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u1932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1932), _u1933), _u1934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1932), _u1934), _u1933)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u1935) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1935), _u1936), _u1937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1935), _u1937), _u1936)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u1938) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1938), _u1939), _u1940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1938), _u1939), _u1940)) | ( _u1939 = _u1940) )).
% 28.96/29.16 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u1938) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1938), _u1939), _u1940)) | ( _u1939 != _u1940) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1938), _u1939), _u1940)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u1941) | ( _u1942 = _u1943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1941), _u1942), _u1943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1941), _u1942), _u1943)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u1944) | ( _u1945 = _u1946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1944), _u1946), _u1945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1944), _u1946), _u1945)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_leD ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u1947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1947), _u1948), _u1949)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1947), _u1949), _u1948)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u1950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1950), _u1951), _u1952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1950), _u1951), _u1952)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u1953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1953), _u1954), _u1955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1953), _u1954), _u1955)) | ( _u1954 = _u1955) )).
% 28.96/29.16 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u1953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1953), _u1954), _u1955)) | ( _u1954 != _u1955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1953), _u1954), _u1955)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u1956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1956), _u1957), _u1958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1956), _u1957), _u1958)) | ( _u1957 = _u1958) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u1959) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1959), _u1960), _u1961)) | ( _u1960 = _u1961) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1959), _u1960), _u1961)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u1962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1962), _u1963), _u1964)) | ( _u1964 = _u1963) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1962), _u1963), _u1964)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1965), _u1966), _u1967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1965), _u1967), _u1968)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1965), _u1966), _u1968)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1969), _u1970), _u1971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1969), _u1972), _u1970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1969), _u1972), _u1971)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1973), _u1974), _u1975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1973), _u1975), _u1976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1973), _u1974), _u1976)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1977) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1977), _u1978), _u1979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1980), _u1978)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1980), _u1979)) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1981) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1981), c_Groups_Oone__class_Oone(_u1981)), _u1982) = _u1982) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1983) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1983), c_Groups_Oone__class_Oone(_u1983)), _u1984) = _u1984) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 28.96/29.16 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1985) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1985), _u1986), c_Groups_Oone__class_Oone(_u1985)) = _u1986) )).
% 28.96/29.16
% 28.96/29.16 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1987) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1987), _u1988), c_Groups_Oone__class_Oone(_u1987)) = _u1988) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1989) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), c_Groups_Oone__class_Oone(_u1989)), _u1990) = _u1990) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1991) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), c_Groups_Oone__class_Oone(_u1991)) = _u1992) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1993), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1994), _u1995)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1996), _u1995))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1993), _u1994), _u1996)) )).
% 28.96/29.17 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1993), _u1994), _u1996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1993), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1994), _u1995)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1996), _u1995))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1997), _u1998), _u1999)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1997), _u1998), _u2000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), _u1999), _u2000)) )).
% 28.96/29.17 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), _u1999), _u2000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1997), _u1998), _u1999)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1997), _u1998), _u2000))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2001), _u2002), _u2003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2001), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2001), _u2002), _u2004)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2001), _u2003), _u2004))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2005), _u2006), _u2007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2005), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2005), _u2008), _u2006)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2005), _u2008), _u2007))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2009), _u2010), _u2011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2009), _u2012), _u2013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2009), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2009), _u2010), _u2012)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2009), _u2011), _u2013))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2014), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2014), _u2015), _u2016)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2014), _u2017), _u2016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2014), _u2015), _u2017)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2018), _u2019), _u2020)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2018), _u2019), _u2021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2018), _u2020), _u2021)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u2022) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2022), c_Orderings_Obot__class_Obot(_u2022)), _u2023)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2027), _u2029) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2031), _u2029)) | ( _u2027 = _u2031) | ( _u2029 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2030) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2032), _u2030)) | ( _u2028 != _u2032) )).
% 28.96/29.17 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2030) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2032), _u2030)) | ( _u2030 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2036), _u2038) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2036), _u2040)) | ( _u2038 = _u2040) | ( _u2036 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2037), _u2039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2037), _u2041)) | ( _u2039 != _u2041) )).
% 28.96/29.17 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2037), _u2039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2037), _u2041)) | ( _u2037 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2044), _u2046) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2044 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2046 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2045), _u2047) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2045 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2045), _u2047) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2047 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2048), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2049) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u2055 = _u2057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2053)), _u2055) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2053)), _u2057)) )).
% 28.96/29.17 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u2056 != _u2058) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2054)), _u2056) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2054)), _u2058)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2060), hAPP(c_Groups_Ouminus__class_Ouminus(_u2059), _u2061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2061), hAPP(c_Groups_Ouminus__class_Ouminus(_u2059), _u2060))) )).
% 28.96/29.17 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2061), hAPP(c_Groups_Ouminus__class_Ouminus(_u2059), _u2060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2060), hAPP(c_Groups_Ouminus__class_Ouminus(_u2059), _u2061))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2062) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2062), hAPP(c_Groups_Ouminus__class_Ouminus(_u2062), _u2063)), _u2064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2062), hAPP(c_Groups_Ouminus__class_Ouminus(_u2062), _u2064)), _u2063)) )).
% 28.96/29.17 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2062) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2062), hAPP(c_Groups_Ouminus__class_Ouminus(_u2062), _u2064)), _u2063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2062), hAPP(c_Groups_Ouminus__class_Ouminus(_u2062), _u2063)), _u2064)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2065), hAPP(c_Groups_Ouminus__class_Ouminus(_u2065), _u2066)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2065), _u2067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2065), _u2067), _u2066)) )).
% 28.96/29.17 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2065), _u2067), _u2066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2065), hAPP(c_Groups_Ouminus__class_Ouminus(_u2065), _u2066)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2065), _u2067))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2068) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2068), _u2069), _u2070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2068), hAPP(c_Groups_Ouminus__class_Ouminus(_u2068), _u2070)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2068), _u2069))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2072), _u2073)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2071), _u2072)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2071), _u2073))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2074), _u2075)), _u2076) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2074), _u2076)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2075), _u2076))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 28.96/29.17 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))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2079), _u2081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2079), _u2081)) )).
% 28.96/29.17 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2079), _u2081)) | ( _u2079 != _u2081) )).
% 28.96/29.17 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2080), _u2082)) | ( _u2080 = _u2082) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2080), _u2082)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2083), _u2084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2085), _u2083)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2085), _u2084))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2086) = _u2086) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2087), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u2087) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u2088, _u2088), _u2089), hAPP(hAPP(c_Nat_Ocompow(_u2088, _u2088), _u2090), _u2091)) = hAPP(hAPP(c_Nat_Ocompow(_u2088, _u2088), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2090), _u2089)), _u2091)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u2092) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), _u2093), _u2094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), _u2095), _u2094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), c_Groups_Ozero__class_Ozero(_u2092)), _u2096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), c_Groups_Ozero__class_Ozero(_u2092)), _u2097)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2092), _u2096), _u2097) != c_Groups_Oone__class_Oone(_u2092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2092), _u2096), _u2093)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2092), _u2097), _u2095))), _u2094)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2098)) | 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)), _u2098))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2099)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2099), _u2100)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2099)), hAPP(c_Int_Onat, _u2100))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2102)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2101)), hAPP(c_Int_Onat, _u2102)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2101), _u2102))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2103), c_Groups_Ozero__class_Ozero(_u2103)), hAPP(c_Int_Oring__1__class_Oof__int(_u2103), _u2104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2104)) )).
% 28.96/29.17 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2103), c_Groups_Ozero__class_Ozero(_u2103)), hAPP(c_Int_Oring__1__class_Oof__int(_u2103), _u2104))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2105), hAPP(c_Int_Oring__1__class_Oof__int(_u2105), _u2106)), c_Groups_Ozero__class_Ozero(_u2105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2106), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2106), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2105), hAPP(c_Int_Oring__1__class_Oof__int(_u2105), _u2106)), c_Groups_Ozero__class_Ozero(_u2105))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u2107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2107), _u2108), _u2109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2107), _u2110), _u2109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2107), c_Groups_Ozero__class_Ozero(_u2107)), _u2111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2107), c_Groups_Ozero__class_Ozero(_u2107)), _u2112)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2107), _u2111), _u2112) != c_Groups_Oone__class_Oone(_u2107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2107), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2107), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2107), _u2111), _u2108)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2107), _u2112), _u2110))), _u2109)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2113)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u2113)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2113))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2114), c_Groups_Ozero__class_Ozero(_u2114)), c_Groups_Oone__class_Oone(_u2114))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2115), c_Groups_Oone__class_Oone(_u2115)), c_Groups_Ozero__class_Ozero(_u2115))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2116), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2116), _u2117)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2116))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2117)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2118) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2118), _u2119), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2118), _u2119), c_Groups_Oone__class_Oone(_u2118)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2120) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2120), c_Groups_Oone__class_Oone(_u2120)), _u2121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2120), c_Groups_Oone__class_Oone(_u2120)), _u2122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2120), c_Groups_Oone__class_Oone(_u2120)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2120), _u2121), _u2122))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2123) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), _u2125) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), _u2124), c_Groups_Oone__class_Oone(_u2123))), _u2125)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2126) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2126), _u2127), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2126), _u2128), _u2127)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2126), _u2128), c_Groups_Oone__class_Oone(_u2126))), _u2127)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), _u2130), _u2130) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), c_Groups_Oone__class_Oone(_u2129)), c_Groups_Oone__class_Oone(_u2129))), _u2130)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2131), _u2132), _u2132))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), _u2132)) )).
% 28.96/29.17 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), _u2132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2131), _u2132), _u2132))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2133), _u2134), _u2134)), c_Groups_Ozero__class_Ozero(_u2133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2133), _u2134), c_Groups_Ozero__class_Ozero(_u2133))) )).
% 28.96/29.17 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2133), _u2134), c_Groups_Ozero__class_Ozero(_u2133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2133), _u2134), _u2134)), c_Groups_Ozero__class_Ozero(_u2133))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2135), c_Groups_Ozero__class_Ozero(_u2135)), _u2136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2135), c_Groups_Ozero__class_Ozero(_u2135)), _u2137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2135), c_Groups_Ozero__class_Ozero(_u2135)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2135), _u2136), _u2137))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2140)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2138), _u2139), _u2140) != c_Groups_Ozero__class_Ozero(_u2138)) | ( _u2139 = c_Groups_Ozero__class_Ozero(_u2138)) )).
% 28.96/29.17 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2140)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2138), _u2139), _u2140) != c_Groups_Ozero__class_Ozero(_u2138)) | ( _u2140 = c_Groups_Ozero__class_Ozero(_u2138)) )).
% 28.96/29.17 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2140)) | ( _u2139 != c_Groups_Ozero__class_Ozero(_u2138)) | ( _u2140 != c_Groups_Ozero__class_Ozero(_u2138)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2138), _u2139), _u2140) = c_Groups_Ozero__class_Ozero(_u2138)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2141), c_Groups_Ozero__class_Ozero(_u2141)), _u2142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2141), _u2143), _u2144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2141), _u2143), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2141), _u2142), _u2144))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), c_Groups_Ozero__class_Ozero(_u2145)), _u2146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), _u2147), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), _u2147), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2145), _u2148), _u2146))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2149), _u2150), c_Groups_Ozero__class_Ozero(_u2149))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2149), _u2151), c_Groups_Ozero__class_Ozero(_u2149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2149), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2149), _u2150), _u2151)), c_Groups_Ozero__class_Ozero(_u2149))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u2152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2152), c_Groups_Ozero__class_Ozero(_u2152)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2152), _u2153), _u2153))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2155), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 28.96/29.17 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2156), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 28.96/29.17 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2155), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 28.96/29.17 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2156), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 28.96/29.17 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2155)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2156)) )).
% 28.96/29.17 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2155), c_Groups_Ozero__class_Ozero(_u2154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2156), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2158), c_Groups_Ozero__class_Ozero(_u2157))) )).
% 28.96/29.17 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2159)) )).
% 28.96/29.17 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2159), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2158), c_Groups_Ozero__class_Ozero(_u2157))) )).
% 28.96/29.17 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2159), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2159)) )).
% 28.96/29.17 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2159), c_Groups_Ozero__class_Ozero(_u2157))) )).
% 28.96/29.17 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2158), c_Groups_Ozero__class_Ozero(_u2157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2159)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2160), c_Groups_Ozero__class_Ozero(_u2160)), _u2161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2160), c_Groups_Ozero__class_Ozero(_u2160)), _u2162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2160), c_Groups_Ozero__class_Ozero(_u2160)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2161), _u2162))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2163), c_Groups_Ozero__class_Ozero(_u2163)), _u2164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2163), _u2165), c_Groups_Ozero__class_Ozero(_u2163))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2163), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2163), _u2164), _u2165)), c_Groups_Ozero__class_Ozero(_u2163))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2166), c_Groups_Ozero__class_Ozero(_u2166)), _u2167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2166), _u2168), c_Groups_Ozero__class_Ozero(_u2166))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2166), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2166), _u2168), _u2167)), c_Groups_Ozero__class_Ozero(_u2166))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), _u2170), c_Groups_Ozero__class_Ozero(_u2169))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), c_Groups_Ozero__class_Ozero(_u2169)), _u2171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2169), _u2170), _u2171)), c_Groups_Ozero__class_Ozero(_u2169))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u2172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2172), _u2173), c_Groups_Ozero__class_Ozero(_u2172))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2172), _u2174), c_Groups_Ozero__class_Ozero(_u2172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2172), c_Groups_Ozero__class_Ozero(_u2172)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2174))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2175), _u2176), _u2177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2175), c_Groups_Ozero__class_Ozero(_u2175)), _u2178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2175), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2175), _u2176), _u2178)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2175), _u2177), _u2178))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2179), _u2180), _u2181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2179), c_Groups_Ozero__class_Ozero(_u2179)), _u2182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2182), _u2180)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2182), _u2181))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u2183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2183), _u2184), _u2185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2183), c_Groups_Ozero__class_Ozero(_u2183)), _u2186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2183), _u2186), _u2184)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2183), _u2186), _u2185))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u2187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2187), _u2188), _u2189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2187), _u2190), c_Groups_Ozero__class_Ozero(_u2187))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2187), _u2189), _u2190)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2187), _u2188), _u2190))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u2191) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2192), _u2193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2194), c_Groups_Ozero__class_Ozero(_u2191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2191), _u2194), _u2193)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2191), _u2194), _u2192))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u2195) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), _u2196), _u2197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), _u2198), _u2199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), c_Groups_Ozero__class_Ozero(_u2195)), _u2196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), c_Groups_Ozero__class_Ozero(_u2195)), _u2198)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2195), _u2196), _u2198)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2195), _u2197), _u2199))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), _u2201), _u2202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), _u2203), _u2204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), c_Groups_Ozero__class_Ozero(_u2200)), _u2202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), c_Groups_Ozero__class_Ozero(_u2200)), _u2203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2200), _u2201), _u2203)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2200), _u2202), _u2204))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u2205) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), c_Groups_Ozero__class_Ozero(_u2205)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2205), _u2206), _u2207))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), c_Groups_Ozero__class_Ozero(_u2205)), _u2206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), c_Groups_Ozero__class_Ozero(_u2205)), _u2207)) )).
% 28.96/29.17 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u2205) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), c_Groups_Ozero__class_Ozero(_u2205)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2205), _u2206), _u2207))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), _u2206), c_Groups_Ozero__class_Ozero(_u2205))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), _u2207), c_Groups_Ozero__class_Ozero(_u2205))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), c_Groups_Ozero__class_Ozero(_u2208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), c_Groups_Ozero__class_Ozero(_u2208)), _u2209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), _u2210), c_Groups_Ozero__class_Ozero(_u2208))) )).
% 28.96/29.17 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), c_Groups_Ozero__class_Ozero(_u2208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), _u2209), c_Groups_Ozero__class_Ozero(_u2208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), c_Groups_Ozero__class_Ozero(_u2208)), _u2210)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2211), _u2212), _u2213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2214), _u2215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2211), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2211), _u2212), _u2214)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2211), _u2213), _u2215))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2216), _u2217), _u2218)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2216), _u2219), _u2220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2216), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2216), _u2217), _u2219)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2216), _u2218), _u2220))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2221) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2222) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2221), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), c_Groups_Oone__class_Oone(_u2221))), _u2222)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2223) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2223), _u2224), _u2224) != c_Groups_Oone__class_Oone(_u2223)) | ( _u2224 = c_Groups_Oone__class_Oone(_u2223)) | ( _u2224 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2223), c_Groups_Oone__class_Oone(_u2223))) )).
% 28.96/29.17 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2223) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2223), _u2224), _u2224) = c_Groups_Oone__class_Oone(_u2223)) | ( _u2224 != c_Groups_Oone__class_Oone(_u2223)) )).
% 28.96/29.17 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2223) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2223), _u2224), _u2224) = c_Groups_Oone__class_Oone(_u2223)) | ( _u2224 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2223), c_Groups_Oone__class_Oone(_u2223))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), c_Groups_Ozero__class_Ozero(_u2225)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2225), _u2226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), _u2226), c_Groups_Ozero__class_Ozero(_u2225))) )).
% 28.96/29.17 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), _u2226), c_Groups_Ozero__class_Ozero(_u2225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), c_Groups_Ozero__class_Ozero(_u2225)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2225), _u2226))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2228), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2228))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2228), c_Groups_Ozero__class_Ozero(_u2227))) )).
% 28.96/29.17 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2228), c_Groups_Ozero__class_Ozero(_u2227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2228), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2228))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2229), hAPP(c_Groups_Ouminus__class_Ouminus(_u2229), _u2230)), c_Groups_Ozero__class_Ozero(_u2229))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2229), c_Groups_Ozero__class_Ozero(_u2229)), _u2230)) )).
% 28.96/29.17 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2229), c_Groups_Ozero__class_Ozero(_u2229)), _u2230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2229), hAPP(c_Groups_Ouminus__class_Ouminus(_u2229), _u2230)), c_Groups_Ozero__class_Ozero(_u2229))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2231), hAPP(c_Groups_Ouminus__class_Ouminus(_u2231), _u2232)), _u2232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2231), c_Groups_Ozero__class_Ozero(_u2231)), _u2232)) )).
% 28.96/29.17 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2231), c_Groups_Ozero__class_Ozero(_u2231)), _u2232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2231), hAPP(c_Groups_Ouminus__class_Ouminus(_u2231), _u2232)), _u2232)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), _u2237) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2235 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), _u2237) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2237 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u2236 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2238 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2236), _u2238) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2239) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2239), c_Groups_Ozero__class_Ozero(_u2239)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2239), _u2240))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2241) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2241), c_Groups_Ozero__class_Ozero(_u2241)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2241), _u2242))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2243), _u2244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2245), _u2243)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2245), _u2244))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2246), _u2247)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2246), _u2248)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2247), _u2248))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2252), _u2254)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2256), _u2254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2254)) )).
% 28.96/29.17 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), _u2252), _u2254)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2256), _u2254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2252), _u2256)) )).
% 28.96/29.17 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)), _u2255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2253), _u2257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2253), _u2255)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2257), _u2255))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2261), _u2263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2261), _u2265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2261)) )).
% 28.96/29.17 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), _u2261), _u2263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2261), _u2265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2263), _u2265)) )).
% 28.96/29.17 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)), _u2262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2264), _u2266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), _u2264)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), _u2266))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2269), _u2271))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2269)) )).
% 28.96/29.17 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), _u2269), _u2271))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2271)) )).
% 28.96/29.17 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)), _u2270)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2272)) | 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), _u2270), _u2272))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2278), _u2280)) | ~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, _u2276)), _u2278)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2276)), _u2280))) )).
% 28.96/29.17 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2279), _u2281)) | 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, _u2277)), _u2279)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2277)), _u2281))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2282), hAPP(c_Nat_OSuc, _u2283)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2282), _u2283))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2284)), _u2285) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2284), _u2285))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2287)) | 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), _u2286), _u2287))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 28.96/29.17 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))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2288))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2289))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2290)) | ~hBOOL(hAPP(_u2295, _u2290)) | hBOOL(hAPP(_u2295, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u2295)))) )).
% 28.96/29.17 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u2296, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2292))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem41(_u2296))) )).
% 28.96/29.17 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u2296, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2292))) | hBOOL(hAPP(_u2296, skolem41(_u2296))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u2302, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem42(_u2302))) )).
% 28.96/29.17 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u2302, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2298))) | ~hBOOL(hAPP(_u2302, skolem42(_u2302))) )).
% 28.96/29.17 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u2303, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem43(_u2303)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2300)) | hBOOL(hAPP(_u2303, _u2300)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2305)) | ( hAPP(c_Int_Onat, _u2304) != hAPP(c_Int_Onat, _u2305)) | ( _u2304 = _u2305) )).
% 28.96/29.17 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)), _u2304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2305)) | ( _u2304 != _u2305) | ( hAPP(c_Int_Onat, _u2304) = hAPP(c_Int_Onat, _u2305)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u2311, _u2306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem44(_u2311))) )).
% 28.96/29.17 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u2311, _u2306)) | hBOOL(hAPP(_u2311, hAPP(c_Int_Onat, skolem44(_u2311)))) )).
% 28.96/29.17 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)), _u2308)) | ~hBOOL(hAPP(_u2312, hAPP(c_Int_Onat, _u2308))) | hBOOL(hAPP(_u2312, skolem45(_u2312))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u2318, skolem46(_u2318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2314)) | hBOOL(hAPP(_u2318, hAPP(c_Int_Onat, _u2314))) )).
% 28.96/29.17 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u2319, _u2316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem47(_u2319))) )).
% 28.96/29.17 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u2319, _u2316)) | ~hBOOL(hAPP(_u2319, hAPP(c_Int_Onat, skolem47(_u2319)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2321)) | ( hAPP(c_Int_Onat, _u2320) != hAPP(c_Int_Onat, _u2321)) | ( _u2320 = _u2321) )).
% 28.96/29.17 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)), _u2320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2321)) | ( _u2320 != _u2321) | ( hAPP(c_Int_Onat, _u2320) = hAPP(c_Int_Onat, _u2321)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2322), _u2323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2324), _u2325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2322), _u2324)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2323), _u2325))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2327)) | 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), _u2326), _u2327))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2328)), _u2328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2329)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2330)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2329), _u2330))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2331), _u2332)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2331)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2332))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2333)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2334)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2333), _u2334))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2339), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2337), _u2339)) | ( _u2337 = _u2339) )).
% 28.96/29.17 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2340), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2338), _u2340)) )).
% 28.96/29.17 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2340), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u2338 != _u2340) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2345), _u2347)) | ( _u2347 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2345), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem48(_u2347, _u2345)))) )).
% 28.96/29.17 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u2348 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2346), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2346), _u2348)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2349), c_Groups_Ozero__class_Ozero(_u2349)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2349), c_Groups_Oone__class_Oone(_u2349)), c_Groups_Oone__class_Oone(_u2349)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2350), _u2351), c_Groups_Ozero__class_Ozero(_u2350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2350), _u2352), c_Groups_Ozero__class_Ozero(_u2350))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2350), _u2351), _u2352)), c_Groups_Ozero__class_Ozero(_u2350))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2353), _u2354), c_Groups_Ozero__class_Ozero(_u2353))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2353), _u2355), c_Groups_Ozero__class_Ozero(_u2353))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2353), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2353), _u2354), _u2355)), c_Groups_Ozero__class_Ozero(_u2353))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2356) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2356), c_Groups_Ozero__class_Ozero(_u2356)), _u2357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2356), _u2358), _u2359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2356), _u2358), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2356), _u2357), _u2359))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2360), c_Groups_Ozero__class_Ozero(_u2360)), _u2361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2360), _u2362), _u2363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2360), _u2362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2360), _u2361), _u2363))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2364), c_Groups_Ozero__class_Ozero(_u2364)), _u2365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2364), c_Groups_Ozero__class_Ozero(_u2364)), _u2366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2364), c_Groups_Ozero__class_Ozero(_u2364)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2364), _u2365), _u2366))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2367), c_Groups_Ozero__class_Ozero(_u2367)), _u2368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2367), c_Groups_Ozero__class_Ozero(_u2367)), _u2369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2367), c_Groups_Ozero__class_Ozero(_u2367)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2367), _u2368), _u2369))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2370) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2370), _u2371), _u2372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2370), _u2371), _u2373))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2370), c_Groups_Ozero__class_Ozero(_u2370)), _u2371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2370), _u2372), _u2373)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2374), _u2375), _u2376)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2374), _u2377), _u2376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2374), c_Groups_Ozero__class_Ozero(_u2374)), _u2376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2375), _u2377)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2378) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2378), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2378), _u2379), _u2380)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2378), _u2379), _u2381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2378), c_Groups_Ozero__class_Ozero(_u2378)), _u2379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2378), _u2380), _u2381)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2382), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2382), _u2383), _u2384)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2382), _u2383), _u2385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2382), c_Groups_Ozero__class_Ozero(_u2382)), _u2383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2382), _u2384), _u2385)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2386), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2386), _u2387), _u2388)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2386), _u2389), _u2388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2386), c_Groups_Ozero__class_Ozero(_u2386)), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2386), _u2387), _u2389)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2390), _u2391), _u2392)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2390), _u2393), _u2392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2390), c_Groups_Ozero__class_Ozero(_u2390)), _u2392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2390), _u2391), _u2393)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2394), _u2395), _u2396)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2394), _u2397), _u2398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2394), c_Groups_Ozero__class_Ozero(_u2394)), _u2395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2394), c_Groups_Ozero__class_Ozero(_u2394)), _u2397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2394), _u2395), _u2397)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2394), _u2396), _u2398))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2399), _u2400), _u2401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2399), _u2402), _u2403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2399), c_Groups_Ozero__class_Ozero(_u2399)), _u2400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2399), c_Groups_Ozero__class_Ozero(_u2399)), _u2402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2399), _u2400), _u2402)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2399), _u2401), _u2403))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2404), _u2405), _u2406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2404), _u2407), _u2408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2404), c_Groups_Ozero__class_Ozero(_u2404)), _u2405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2404), c_Groups_Ozero__class_Ozero(_u2404)), _u2407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2404), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2404), _u2405), _u2407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2404), _u2406), _u2408))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), _u2410), _u2411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), _u2412), _u2413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), c_Groups_Ozero__class_Ozero(_u2409)), _u2411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2409), c_Groups_Ozero__class_Ozero(_u2409)), _u2412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2409), _u2410), _u2412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2409), _u2411), _u2413))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), _u2415), c_Groups_Ozero__class_Ozero(_u2414))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2414), _u2415), _u2416)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2414), _u2415), _u2417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2414), _u2417), _u2416)) )).
% 28.96/29.17 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), _u2415), c_Groups_Ozero__class_Ozero(_u2414))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2414), _u2417), _u2416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2414), _u2415), _u2416)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2414), _u2415), _u2417))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), c_Groups_Ozero__class_Ozero(_u2418)), _u2419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2418), _u2419), _u2420)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2418), _u2419), _u2421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), _u2420), _u2421)) )).
% 28.96/29.17 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), c_Groups_Ozero__class_Ozero(_u2418)), _u2419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), _u2420), _u2421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2418), _u2419), _u2420)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2418), _u2419), _u2421))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2423), _u2423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2424), _u2424))), c_Groups_Ozero__class_Ozero(_u2422))) | ( _u2423 = c_Groups_Ozero__class_Ozero(_u2422)) )).
% 28.96/29.17 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2423), _u2423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2424), _u2424))), c_Groups_Ozero__class_Ozero(_u2422))) | ( _u2424 = c_Groups_Ozero__class_Ozero(_u2422)) )).
% 28.96/29.17 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2422) | ( _u2423 != c_Groups_Ozero__class_Ozero(_u2422)) | ( _u2424 != c_Groups_Ozero__class_Ozero(_u2422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2423), _u2423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2424), _u2424))), c_Groups_Ozero__class_Ozero(_u2422))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2425) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2425), c_Groups_Ozero__class_Ozero(_u2425)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2425), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2425), _u2426), _u2426)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2425), _u2427), _u2427)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u2428) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2428), hAPP(c_Nat_OSuc, _u2429)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2428), c_Groups_Oone__class_Oone(_u2428)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2428), _u2429))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 28.96/29.17 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))), _u2430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2431), _u2430))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 28.96/29.17 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))), _u2432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2432), _u2433))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 28.96/29.17 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))), _u2434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2435)) | 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), _u2435), _u2434))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2437)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_int__le__0__conv-2, axiom, ( ( _u2438 != 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), _u2438)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2439), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2439) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u2441) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2442), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2442) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 28.96/29.17 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)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 28.96/29.17 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))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2444)), _u2444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2444), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2445), 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)), _u2445)), _u2445)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2446)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2446)) = _u2446) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2449) != _u2451) | ( _u2449 = hAPP(c_Int_Onat, _u2451)) )).
% 28.96/29.17 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2449) != _u2451) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2451)) )).
% 28.96/29.17 cnf(fact_int__eq__iff-3, axiom, ( ( _u2450 != hAPP(c_Int_Onat, _u2452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2452)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2450) = _u2452) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2454)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2454)) = _u2454) )).
% 28.96/29.17 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)), _u2455)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2455)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2456)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2456), _u2457) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2456 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.17 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)), _u2456)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2456), _u2457) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2457 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.17 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)), _u2456)) | ( _u2456 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2457 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2456), _u2457) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u2458)) = 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), _u2458))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2461)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2463)))) | ( _u2461 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 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), _u2461)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2463)))) | ( _u2463 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_int__zle__neg-3, axiom, ( ( _u2462 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2464 != 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), _u2462)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2464)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2465))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2466)), hAPP(c_Int_Onat, _u2467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2466), _u2467)) )).
% 28.96/29.17 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)), _u2466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2466), _u2467)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2466)), hAPP(c_Int_Onat, _u2467))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2468)), hAPP(c_Int_Onat, _u2469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2468), _u2469)) )).
% 28.96/29.17 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)), _u2468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2468), _u2469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2468)), hAPP(c_Int_Onat, _u2469))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u2472 != hAPP(c_Int_Onat, _u2474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2474)) | ( _u2474 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2472)) )).
% 28.96/29.17 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u2472 != hAPP(c_Int_Onat, _u2474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2474)) | ( _u2472 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u2473 = hAPP(c_Int_Onat, _u2475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2475)) | ( _u2473 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u2473 = hAPP(c_Int_Onat, _u2475)) | ( _u2475 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2475)) )).
% 28.96/29.17 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u2473 = hAPP(c_Int_Onat, _u2475)) | ( _u2475 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2473)) | ( _u2473 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2476)) | ( _u2476 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2476), _u2478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2478), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2479)) | ( _u2479 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2480), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2479), _u2481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2480), _u2479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2481)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2482), _u2483)), _u2484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2484), _u2482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2483)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2485), _u2486)), _u2487)), 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)), _u2487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2486), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2488), _u2489)), _u2490)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2488), _u2491)), _u2492))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2490), _u2488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2492), _u2488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2489), _u2491)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2493), _u2494)), _u2495) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2496), _u2497)), _u2498)) | ~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), _u2496), _u2497)), _u2498))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2498), _u2496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2496), _u2493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2494), _u2497)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2499), _u2500)), _u2501)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2499), _u2502)), _u2503))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2503), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2499), _u2503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2499), _u2501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2502), _u2500)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2504), _u2505)), _u2506) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2507), _u2508)), _u2509)) | ~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), _u2507), _u2508)), _u2509)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2506), _u2504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2507)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2507), _u2504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2508), _u2505)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2511), _u2512)) )).
% 28.96/29.17 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)), _u2510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2511), _u2512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2512))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2513)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2514) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2515)) | ( _u2514 = _u2515) )).
% 28.96/29.17 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)), _u2513)) | ( _u2514 != _u2515) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2514) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2515)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2516, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))), _u2517)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le0 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2518)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2519), _u2519)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2520), _u2521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2521), _u2520)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_eq__imp__le-1, axiom, ( ( _u2522 != _u2523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2522), _u2523)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2524), _u2525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2525), _u2526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2524), _u2526)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2527), _u2528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2528), _u2527)) | ( _u2527 = _u2528) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2531, tc_HOL_Obool)), _u2533), c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool)))) | ( _u2533 = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) )).
% 28.96/29.17 cnf(fact_subset__empty-2, axiom, ( ( _u2534 != c_Orderings_Obot__class_Obot(tc_fun(_u2532, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2532, tc_HOL_Obool)), _u2534), c_Orderings_Obot__class_Obot(tc_fun(_u2532, tc_HOL_Obool)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2537, tc_HOL_Obool)), _u2539), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2537, tc_HOL_Obool)), _u2539))) | ( _u2539 = c_Orderings_Obot__class_Obot(tc_fun(_u2537, tc_HOL_Obool))) )).
% 28.96/29.17 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u2540 != c_Orderings_Obot__class_Obot(tc_fun(_u2538, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2538, tc_HOL_Obool)), _u2540), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2538, tc_HOL_Obool)), _u2540))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2541)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2543), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2543 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_le__0__eq-2, axiom, ( ( _u2544 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2544), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2545, tc_HOL_Obool)), _u2546), _u2547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2545, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2545), _u2548), _u2546)), hAPP(hAPP(c_Set_Oinsert(_u2545), _u2548), _u2547))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2549, tc_HOL_Obool)), _u2550), _u2551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2549, tc_HOL_Obool)), _u2550), hAPP(hAPP(c_Set_Oinsert(_u2549), _u2552), _u2551))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2553, tc_HOL_Obool)), _u2554), hAPP(hAPP(c_Set_Oinsert(_u2553), _u2555), _u2554))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 28.96/29.17 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, _u2556)), _u2556)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2559), _u2561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2561)), _u2559)) )).
% 28.96/29.17 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2562)), _u2560)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2560), _u2562)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2565), hAPP(c_Nat_OSuc, _u2567))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2565), _u2567)) | ( _u2565 = hAPP(c_Nat_OSuc, _u2567)) )).
% 28.96/29.17 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2566), hAPP(c_Nat_OSuc, _u2568))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2566), _u2568)) )).
% 28.96/29.17 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2566), hAPP(c_Nat_OSuc, _u2568))) | ( _u2566 != hAPP(c_Nat_OSuc, _u2568)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2571)), hAPP(c_Nat_OSuc, _u2573))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2571), _u2573)) )).
% 28.96/29.17 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2572), _u2574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2572)), hAPP(c_Nat_OSuc, _u2574))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2575), _u2576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2575), hAPP(c_Nat_OSuc, _u2576))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2577), hAPP(c_Nat_OSuc, _u2578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2577), _u2578)) | ( _u2577 = hAPP(c_Nat_OSuc, _u2578)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2579)), _u2580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2579), _u2580)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2581), _u2582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2581), _u2582)) )).
% 28.96/29.17 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2581), _u2582)) | ( _u2581 != _u2582) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2583), _u2584)) | ( _u2583 = _u2584) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2583), _u2584)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2585), _u2586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2585), _u2586)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2589), _u2591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2589), _u2591)) | ( _u2589 = _u2591) )).
% 28.96/29.17 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2590), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2590), _u2592)) )).
% 28.96/29.17 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2590), _u2592)) | ( _u2590 != _u2592) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2595), _u2597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2595), _u2597)) )).
% 28.96/29.17 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2595), _u2597)) | ( _u2595 != _u2597) )).
% 28.96/29.17 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2596), _u2598)) | ( _u2596 = _u2598) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2596), _u2598)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2599), _u2600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2599), _u2600)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2601), _u2602)), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2601), _u2603)) )).
% 28.96/29.17 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), _u2601), _u2602)), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2602), _u2603)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2604), _u2605)), _u2606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), _u2606)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2608), _u2609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2607), _u2608)), _u2609)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2610), _u2611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2612), _u2613)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2610), _u2612)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2611), _u2613))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2614), _u2615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2614), _u2616)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2615), _u2616))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2617), _u2618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2617), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2619), _u2618))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2620), _u2621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2620), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2621), _u2622))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2628), _u2630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2626), _u2628)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2626), _u2630))) )).
% 28.96/29.17 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2629), _u2631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2627), _u2629)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2627), _u2631))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2636), _u2638)) | ( _u2638 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2636), skolem49(_u2638, _u2636))) )).
% 28.96/29.17 cnf(fact_le__iff__add-2, axiom, ( ( _u2639 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2637), _u2633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2637), _u2639)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2640), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2640), _u2641))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2642), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2643), _u2642))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2644), _u2645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2645), _u2646))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2647), _u2648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2649), _u2648))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__square ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2650), _u2650))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2651), _u2651)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2652), _u2653)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2652), _u2654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2653), _u2654))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2655), _u2656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2657), _u2655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2657), _u2656))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2658), _u2659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2660), _u2661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2658), _u2660)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2659), _u2661))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2662) = _u2662) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2665), _u2667)) | ( _u2665 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.17 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), _u2665), _u2667)) | ( _u2667 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u2666 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2668 != 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), _u2666), _u2668)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2669), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2669) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2672), _u2674) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2672 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2672), _u2674) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2674 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u2673 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2675 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2673), _u2675) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2677, _u2676)), _u2678), _u2679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2677, _u2676)), _u2678), _u2679)) )).
% 28.96/29.17 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2677, _u2676)), _u2678), _u2679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2677, _u2676)), _u2679), _u2678)) )).
% 28.96/29.17 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2677, _u2676)), _u2678), _u2679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2677, _u2676)), _u2679), _u2678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2677, _u2676)), _u2678), _u2679)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_evaln__nonstrict ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_evaln__nonstrict-1, axiom, ( ~c_Natural_Oevaln(_u2680, _u2681, _u2682, _u2683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2682), _u2684)) | c_Natural_Oevaln(_u2680, _u2681, _u2684, _u2683) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_thin ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_thin-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u2685, _u2686, _u2687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2685), tc_HOL_Obool)), _u2686), _u2688)) | c_Hoare__Mirabelle_Ohoare__derivs(_u2685, _u2688, _u2687) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_weaken ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u2689, _u2690, _u2691) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2689), tc_HOL_Obool)), _u2692), _u2691)) | c_Hoare__Mirabelle_Ohoare__derivs(_u2689, _u2690, _u2692) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_asm ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2693), tc_HOL_Obool)), _u2694), _u2695)) | c_Hoare__Mirabelle_Ohoare__derivs(_u2693, _u2695, _u2694) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2696, tc_HOL_Obool)), _u2697), _u2698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2696, tc_HOL_Obool)), _u2698), _u2699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2696, tc_HOL_Obool)), _u2697), _u2699)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2700, tc_HOL_Obool)), _u2701), _u2702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2700, tc_HOL_Obool)), _u2702), _u2703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2700, tc_HOL_Obool)), _u2701), _u2703)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2704, tc_HOL_Obool)), _u2705), _u2706)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2704, tc_HOL_Obool)), _u2705), _u2706)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2710, tc_HOL_Obool)), _u2712), _u2714)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2710, tc_HOL_Obool)), _u2712), _u2714)) | ( _u2712 = _u2714) )).
% 28.96/29.17 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2711, tc_HOL_Obool)), _u2713), _u2715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2711, tc_HOL_Obool)), _u2713), _u2715)) )).
% 28.96/29.17 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2711, tc_HOL_Obool)), _u2713), _u2715)) | ( _u2713 != _u2715) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2719, tc_HOL_Obool)), _u2721), _u2723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2719, tc_HOL_Obool)), _u2721), _u2723)) )).
% 28.96/29.17 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2719, tc_HOL_Obool)), _u2721), _u2723)) | ( _u2721 != _u2723) )).
% 28.96/29.17 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2720, tc_HOL_Obool)), _u2722), _u2724)) | ( _u2722 = _u2724) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2720, tc_HOL_Obool)), _u2722), _u2724)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2725, tc_HOL_Obool)), _u2726), hAPP(hAPP(c_Set_Oinsert(_u2725), _u2727), c_Orderings_Obot__class_Obot(tc_fun(_u2725, tc_HOL_Obool))))) | ( _u2726 = c_Orderings_Obot__class_Obot(tc_fun(_u2725, tc_HOL_Obool))) | ( _u2726 = hAPP(hAPP(c_Set_Oinsert(_u2725), _u2727), c_Orderings_Obot__class_Obot(tc_fun(_u2725, tc_HOL_Obool)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2728), _u2729)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2728), _u2730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2729), _u2730)) )).
% 28.96/29.17 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)), _u2728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2729), _u2730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2728), _u2729)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2728), _u2730))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 28.96/29.17 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))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2731)), _u2732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2731), _u2732)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2733), _u2734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2734), hAPP(c_Nat_OSuc, _u2733))) | ( _u2734 = _u2733) )).
% 28.96/29.17 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2733), _u2734)) | ( _u2734 != _u2733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2734), hAPP(c_Nat_OSuc, _u2733))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2735), _u2736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2735)), _u2736)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2737), _u2738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2737), hAPP(c_Nat_OSuc, _u2738))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2741)), _u2743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2741), _u2743)) )).
% 28.96/29.17 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2742), _u2744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2742)), _u2744)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2747), hAPP(c_Nat_OSuc, _u2749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2747), _u2749)) )).
% 28.96/29.17 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2748), _u2750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2748), hAPP(c_Nat_OSuc, _u2750))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2753), _u2755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2753)), _u2755)) )).
% 28.96/29.17 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2754)), _u2756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2754), _u2756)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2757) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2757), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2758) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2758)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u2759 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2759), _u2760)) | ( _u2760 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2759 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2766), _u2768)) | ~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, _u2764)), _u2766)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2764)), _u2768))) )).
% 28.96/29.17 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2767), _u2769)) | 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, _u2765)), _u2767)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2765)), _u2769))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2772)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2772), _u2774)) )).
% 28.96/29.17 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2773), _u2775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2773)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2775))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2778)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2778), _u2780)) )).
% 28.96/29.17 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2779), _u2781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2779)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2781))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 28.96/29.17 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)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2784), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2784)) )).
% 28.96/29.17 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), _u2784), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2786)) )).
% 28.96/29.17 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))), _u2785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2787)) | 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), _u2785), _u2787))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2791), _u2793)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2791), _u2795))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2793), _u2795)) )).
% 28.96/29.17 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), _u2792), _u2794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2792), _u2796))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2792)) )).
% 28.96/29.17 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), _u2792), _u2794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2792), _u2796))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2794), _u2796)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2800), _u2802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2804), _u2802))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2800), _u2804)) )).
% 28.96/29.17 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), _u2801), _u2803)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2805), _u2803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2803)) )).
% 28.96/29.17 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), _u2801), _u2803)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2805), _u2803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2801), _u2805)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2806)), hAPP(c_Int_Onat, _u2807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2806), _u2807)) )).
% 28.96/29.17 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)), _u2806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2806), _u2807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2806)), hAPP(c_Int_Onat, _u2807))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u2808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2808)), hAPP(c_Int_Onat, _u2809))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2808), _u2809)) )).
% 28.96/29.17 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)), _u2808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2808), _u2809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2808)), hAPP(c_Int_Onat, _u2809))) )).
% 28.96/29.17 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)), _u2809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2808)), hAPP(c_Int_Onat, _u2809))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2808), _u2809)) )).
% 28.96/29.17 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)), _u2809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2808), _u2809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2808)), hAPP(c_Int_Onat, _u2809))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2813), _u2815) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2813), _u2817)) | ( _u2813 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2815 = _u2817) )).
% 28.96/29.17 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2814), _u2816) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2814), _u2818)) | ( _u2814 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2814), _u2816) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2814), _u2818)) | ( _u2816 != _u2818) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2819), _u2820)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2821), _u2820)), _u2822)) = 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), _u2819), _u2821)), _u2820)), _u2822)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 28.96/29.17 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))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2823), hAPP(c_Groups_Ouminus__class_Ouminus(_u2823), _u2824)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2823), _u2825))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2823), _u2825), _u2824)) )).
% 28.96/29.17 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u2823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2823), _u2825), _u2824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2823), hAPP(c_Groups_Ouminus__class_Ouminus(_u2823), _u2824)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2823), _u2825))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2826), _u2827), _u2828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2826), hAPP(c_Groups_Ouminus__class_Ouminus(_u2826), _u2828)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2826), _u2827))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u2831, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2831, _u2832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem50(_u2832, _u2831)), _u2832)) )).
% 28.96/29.17 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u2831, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2831, _u2832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2829), skolem50(_u2832, _u2831))) | ~hBOOL(hAPP(_u2831, _u2829)) )).
% 28.96/29.17 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u2831, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2831, _u2832)) | hBOOL(hAPP(_u2831, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem50(_u2832, _u2831)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u2833) | ( _u2834 != c_Groups_Ozero__class_Ozero(_u2833)) | ( c_Groups_Osgn__class_Osgn(_u2833, _u2834) = c_Groups_Ozero__class_Ozero(_u2833)) )).
% 28.96/29.17 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u2833) | ( _u2834 = c_Groups_Ozero__class_Ozero(_u2833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), c_Groups_Ozero__class_Ozero(_u2833)), _u2834)) | ( c_Groups_Osgn__class_Osgn(_u2833, _u2834) = c_Groups_Oone__class_Oone(_u2833)) )).
% 28.96/29.17 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u2833) | ( _u2834 = c_Groups_Ozero__class_Ozero(_u2833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), c_Groups_Ozero__class_Ozero(_u2833)), _u2834)) | ( c_Groups_Osgn__class_Osgn(_u2833, _u2834) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2833), c_Groups_Oone__class_Oone(_u2833))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u2835) | ( c_Groups_Osgn__class_Osgn(_u2835, _u2836) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2835), c_Groups_Oone__class_Oone(_u2835))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2835), _u2836), c_Groups_Ozero__class_Ozero(_u2835))) )).
% 28.96/29.17 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u2835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2835), _u2836), c_Groups_Ozero__class_Ozero(_u2835))) | ( c_Groups_Osgn__class_Osgn(_u2835, _u2836) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2835), c_Groups_Oone__class_Oone(_u2835))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u2837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2837), _u2838), c_Groups_Ozero__class_Ozero(_u2837))) | ( c_Groups_Osgn__class_Osgn(_u2837, _u2838) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2837), c_Groups_Oone__class_Oone(_u2837))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zsgn__def-1, axiom, ( ( _u2840 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2840) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17 cnf(fact_zsgn__def-2, axiom, ( ( _u2841 = 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)), _u2841)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2841) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.17 cnf(fact_zsgn__def-3, axiom, ( ( _u2841 = 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)), _u2841)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2841) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u2842 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2843), _u2844)), _u2845)) | ( _u2843 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2842, _u2843) = _u2845) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2843), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2845), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u2842 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2843), _u2844)), _u2845)) | ( _u2843 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2842, _u2843) = _u2845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2845), _u2843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2843)) )).
% 28.96/29.17 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u2842 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2843), _u2844)), _u2845)) | ( _u2843 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2842, _u2843) = _u2845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2845), _u2843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2843), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2845), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2846, tc_HOL_Obool)), _u2847), _u2848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2846, tc_HOL_Obool)), _u2848), _u2847)) | ( _u2847 = _u2848) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2849, tc_HOL_Obool)), _u2850), _u2851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2849, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2849, tc_HOL_Obool)), _u2851)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2849, tc_HOL_Obool)), _u2850))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2855, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2855, tc_HOL_Obool)), _u2857)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2855, tc_HOL_Obool)), _u2859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2855, tc_HOL_Obool)), _u2859), _u2857)) )).
% 28.96/29.17 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2856, tc_HOL_Obool)), _u2860), _u2858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2856, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2856, tc_HOL_Obool)), _u2858)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2856, tc_HOL_Obool)), _u2860))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2861, tc_HOL_Obool)), _u2862), _u2862)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_set__eq__subset-1, axiom, ( ( _u2866 != _u2868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2870, tc_HOL_Obool)), _u2866), _u2868)) )).
% 28.96/29.17 cnf(fact_set__eq__subset-2, axiom, ( ( _u2866 != _u2868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2870, tc_HOL_Obool)), _u2868), _u2866)) )).
% 28.96/29.17 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2871, tc_HOL_Obool)), _u2867), _u2869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2871, tc_HOL_Obool)), _u2869), _u2867)) | ( _u2867 = _u2869) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_equalityD1-1, axiom, ( ( _u2872 != _u2873) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2874, tc_HOL_Obool)), _u2872), _u2873)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_equalityD2-1, axiom, ( ( _u2875 != _u2876) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2877, tc_HOL_Obool)), _u2876), _u2875)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2878, tc_HOL_Obool)), _u2879), _u2880)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2878, tc_HOL_Obool)), _u2880), _u2881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2878, tc_HOL_Obool)), _u2879), _u2881)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_equalityE-1, axiom, ( ( _u2882 != _u2883) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2884, tc_HOL_Obool)), _u2882), _u2883)) )).
% 28.96/29.17 cnf(fact_equalityE-2, axiom, ( ( _u2882 != _u2883) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2884, tc_HOL_Obool)), _u2883), _u2882)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u2885) | ( c_Divides_Odiv__class_Omod(_u2885, c_Divides_Odiv__class_Omod(_u2885, _u2886, _u2887), _u2887) = c_Divides_Odiv__class_Omod(_u2885, _u2886, _u2887)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u2888) | ( c_Groups_Osgn__class_Osgn(_u2888, c_Groups_Osgn__class_Osgn(_u2888, _u2889)) = c_Groups_Osgn__class_Osgn(_u2888, _u2889)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2890, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2890, tc_HOL_Obool)), _u2891)) = _u2891) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u2897 = _u2899) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2895, tc_HOL_Obool)), _u2897) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2895, tc_HOL_Obool)), _u2899)) )).
% 28.96/29.17 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u2898 != _u2900) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2896, tc_HOL_Obool)), _u2898) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2896, tc_HOL_Obool)), _u2900)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2901) | ( c_Divides_Odiv__class_Omod(_u2901, c_Groups_Ozero__class_Ozero(_u2901), _u2902) = c_Groups_Ozero__class_Ozero(_u2901)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2903) | ( c_Divides_Odiv__class_Omod(_u2903, _u2904, c_Groups_Ozero__class_Ozero(_u2903)) = _u2904) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u2905) | ( c_Divides_Odiv__class_Omod(_u2905, _u2906, _u2906) = c_Groups_Ozero__class_Ozero(_u2905)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u2907) | ( c_Divides_Odiv__class_Omod(_u2907, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2907), _u2908), _u2909), _u2909) = c_Divides_Odiv__class_Omod(_u2907, _u2908, _u2909)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u2910) | ( c_Divides_Odiv__class_Omod(_u2910, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2910), _u2911), _u2912), _u2911) = c_Divides_Odiv__class_Omod(_u2910, _u2912, _u2911)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2913) | ( c_Divides_Odiv__class_Omod(_u2913, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2913), _u2914), _u2915), _u2916) = c_Divides_Odiv__class_Omod(_u2913, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2913), _u2914), c_Divides_Odiv__class_Omod(_u2913, _u2915, _u2916)), _u2916)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2917) | ( c_Divides_Odiv__class_Omod(_u2917, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2917), _u2918), _u2919), _u2920) = c_Divides_Odiv__class_Omod(_u2917, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2917), c_Divides_Odiv__class_Omod(_u2917, _u2918, _u2920)), _u2919), _u2920)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2921) | ( c_Divides_Odiv__class_Omod(_u2921, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2921), _u2922), _u2923), _u2924) = c_Divides_Odiv__class_Omod(_u2921, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2921), c_Divides_Odiv__class_Omod(_u2921, _u2922, _u2924)), c_Divides_Odiv__class_Omod(_u2921, _u2923, _u2924)), _u2924)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2925) | ( c_Divides_Odiv__class_Omod(_u2925, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2925), _u2926), c_Divides_Odiv__class_Omod(_u2925, _u2927, _u2928)), _u2928) = c_Divides_Odiv__class_Omod(_u2925, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2925), _u2926), _u2927), _u2928)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2929) | ( c_Divides_Odiv__class_Omod(_u2929, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2929), c_Divides_Odiv__class_Omod(_u2929, _u2930, _u2931)), _u2932), _u2931) = c_Divides_Odiv__class_Omod(_u2929, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2929), _u2930), _u2932), _u2931)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u2933) | ( c_Divides_Odiv__class_Omod(_u2933, _u2934, _u2935) != c_Divides_Odiv__class_Omod(_u2933, _u2936, _u2935)) | ( c_Divides_Odiv__class_Omod(_u2933, _u2937, _u2935) != c_Divides_Odiv__class_Omod(_u2933, _u2938, _u2935)) | ( c_Divides_Odiv__class_Omod(_u2933, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2933), _u2934), _u2937), _u2935) = c_Divides_Odiv__class_Omod(_u2933, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2933), _u2936), _u2938), _u2935)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2939) | ( c_Divides_Odiv__class_Omod(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2941), _u2942) = c_Divides_Odiv__class_Omod(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), c_Divides_Odiv__class_Omod(_u2939, _u2941, _u2942)), _u2942)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2943) | ( c_Divides_Odiv__class_Omod(_u2943, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2945), _u2946) = c_Divides_Odiv__class_Omod(_u2943, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), c_Divides_Odiv__class_Omod(_u2943, _u2944, _u2946)), _u2945), _u2946)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2947) | ( c_Divides_Odiv__class_Omod(_u2947, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2949), _u2950) = c_Divides_Odiv__class_Omod(_u2947, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), c_Divides_Odiv__class_Omod(_u2947, _u2948, _u2950)), c_Divides_Odiv__class_Omod(_u2947, _u2949, _u2950)), _u2950)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u2951) | ( c_Divides_Odiv__class_Omod(_u2951, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2953), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2954)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), c_Divides_Odiv__class_Omod(_u2951, _u2953, _u2954))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u2955) | ( c_Divides_Odiv__class_Omod(_u2955, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2955), _u2956), _u2957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2955), _u2958), _u2957)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2955), c_Divides_Odiv__class_Omod(_u2955, _u2956, _u2958)), _u2957)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2959) | ( c_Divides_Odiv__class_Omod(_u2959, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2959), c_Divides_Odiv__class_Omod(_u2959, _u2960, _u2961)), _u2962), _u2961) = c_Divides_Odiv__class_Omod(_u2959, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2959), _u2960), _u2962), _u2961)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u2963) | ( c_Divides_Odiv__class_Omod(_u2963, _u2964, _u2965) != c_Divides_Odiv__class_Omod(_u2963, _u2966, _u2965)) | ( c_Divides_Odiv__class_Omod(_u2963, _u2967, _u2965) != c_Divides_Odiv__class_Omod(_u2963, _u2968, _u2965)) | ( c_Divides_Odiv__class_Omod(_u2963, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2963), _u2964), _u2967), _u2965) = c_Divides_Odiv__class_Omod(_u2963, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2963), _u2966), _u2968), _u2965)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u2969) | ( c_Divides_Odiv__class_Omod(_u2969, _u2970, _u2971) != c_Divides_Odiv__class_Omod(_u2969, _u2972, _u2971)) | ( c_Divides_Odiv__class_Omod(_u2969, hAPP(c_Groups_Ouminus__class_Ouminus(_u2969), _u2970), _u2971) = c_Divides_Odiv__class_Omod(_u2969, hAPP(c_Groups_Ouminus__class_Ouminus(_u2969), _u2972), _u2971)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u2973) | ( c_Divides_Odiv__class_Omod(_u2973, hAPP(c_Groups_Ouminus__class_Ouminus(_u2973), _u2974), _u2975) = c_Divides_Odiv__class_Omod(_u2973, hAPP(c_Groups_Ouminus__class_Ouminus(_u2973), c_Divides_Odiv__class_Omod(_u2973, _u2974, _u2975)), _u2975)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2976, _u2976) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2977) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2978), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2979, _u2980)), _u2980) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2978), _u2979), _u2980)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 28.96/29.17 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), _u2981), _u2982), _u2983) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2981), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2982, _u2983)), _u2983)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 28.96/29.17 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, _u2984, _u2985)), _u2985) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2984), _u2985)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2986), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2987)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2986, _u2987))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2988, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2989)) = 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), _u2988), _u2989))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2990) | ( c_Groups_Osgn__class_Osgn(_u2990, _u2991) != c_Groups_Ozero__class_Ozero(_u2990)) | ( _u2991 = c_Groups_Ozero__class_Ozero(_u2990)) )).
% 28.96/29.17 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u2990) | ( _u2991 != c_Groups_Ozero__class_Ozero(_u2990)) | ( c_Groups_Osgn__class_Osgn(_u2990, _u2991) = c_Groups_Ozero__class_Ozero(_u2990)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u2992) | ( c_Groups_Osgn__class_Osgn(_u2992, c_Groups_Ozero__class_Ozero(_u2992)) = c_Groups_Ozero__class_Ozero(_u2992)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u2993) | ( c_Groups_Osgn__class_Osgn(_u2993, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2993), _u2994), _u2995)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2993), c_Groups_Osgn__class_Osgn(_u2993, _u2994)), c_Groups_Osgn__class_Osgn(_u2993, _u2995))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2996) | ( c_Divides_Odiv__class_Omod(_u2996, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2996), _u2997), _u2998), _u2998) = c_Groups_Ozero__class_Ozero(_u2996)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2999) | ( c_Divides_Odiv__class_Omod(_u2999, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2999), _u3000), _u3001), _u3000) = c_Groups_Ozero__class_Ozero(_u2999)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3002) | ( c_Divides_Odiv__class_Omod(_u3002, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3002), _u3003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3002), _u3004), _u3005)), _u3004) = c_Divides_Odiv__class_Omod(_u3002, _u3003, _u3004)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3006) | ( c_Divides_Odiv__class_Omod(_u3006, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3006), _u3007), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3006), _u3008), _u3009)), _u3009) = c_Divides_Odiv__class_Omod(_u3006, _u3007, _u3009)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3010) | ( c_Divides_Odiv__class_Omod(_u3010, _u3011, c_Groups_Oone__class_Oone(_u3010)) = c_Groups_Ozero__class_Ozero(_u3010)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3012, _u3013)), _u3012)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3015)) | 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, _u3014, _u3015))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3017, _u3016)), _u3016)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3018), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3018), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3019, _u3018))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3024, _u3026) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3024 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3026), skolem51(_u3026, _u3024))) )).
% 28.96/29.17 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u3025 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3027), _u3021)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3025, _u3027) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3028, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3029)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3028, _u3029) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3030), _u3031) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3030, _u3031) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3032)) | 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, _u3033, _u3032))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3034)) | 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, _u3035, _u3034))) )).
% 28.96/29.17 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)), _u3034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3035, _u3034)), _u3034)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3036), _u3037)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3036, _u3037) = _u3036) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3038), 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, _u3039, _u3038)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3040), 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, _u3041, _u3040)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3040), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3040), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3041, _u3040))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3042), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3043), _u3042)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3042, _u3043) = _u3042) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u3044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), c_Groups_Osgn__class_Osgn(_u3044, _u3045)), c_Groups_Ozero__class_Ozero(_u3044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), _u3045), c_Groups_Ozero__class_Ozero(_u3044))) )).
% 28.96/29.17 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u3044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), _u3045), c_Groups_Ozero__class_Ozero(_u3044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), c_Groups_Osgn__class_Osgn(_u3044, _u3045)), c_Groups_Ozero__class_Ozero(_u3044))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u3046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3046), c_Groups_Ozero__class_Ozero(_u3046)), c_Groups_Osgn__class_Osgn(_u3046, _u3047))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3046), c_Groups_Ozero__class_Ozero(_u3046)), _u3047)) )).
% 28.96/29.17 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u3046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3046), c_Groups_Ozero__class_Ozero(_u3046)), _u3047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3046), c_Groups_Ozero__class_Ozero(_u3046)), c_Groups_Osgn__class_Osgn(_u3046, _u3047))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3048) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3048), _u3049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3048), _u3049), _u3050)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3048), _u3049), _u3050)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3051) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3051), _u3052), _u3052) = _u3052) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3053) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3053), _u3054), _u3054) = _u3054) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3055) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3055), _u3056) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3055), _u3057)) | ( _u3056 = _u3057) )).
% 28.96/29.17 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u3055) | ( _u3056 != _u3057) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3055), _u3056) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3055), _u3057)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u3058) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3059, _u3058)), _u3060), _u3061) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3058), hAPP(_u3060, _u3061))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3062) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3062), hAPP(c_Groups_Ouminus__class_Ouminus(_u3062), _u3063)) = _u3063) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3064), _u3065)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3064, _u3065) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3064), _u3065)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u3066) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3066), c_Groups_Ozero__class_Ozero(_u3066)), _u3067)) | ( c_Groups_Osgn__class_Osgn(_u3066, _u3067) = c_Groups_Oone__class_Oone(_u3066)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u3068) | ( c_Groups_Osgn__class_Osgn(_u3068, _u3069) != c_Groups_Oone__class_Oone(_u3068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3068), c_Groups_Ozero__class_Ozero(_u3068)), _u3069)) )).
% 28.96/29.17 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u3068) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3068), c_Groups_Ozero__class_Ozero(_u3068)), _u3069)) | ( c_Groups_Osgn__class_Osgn(_u3068, _u3069) = c_Groups_Oone__class_Oone(_u3068)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u3081, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3083, _u3085))) | ( _u3085 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3081, _u3083)) )).
% 28.96/29.17 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u3081, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3083, _u3085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3070), _u3085)) | ( _u3083 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3085), _u3071)), _u3070)) | hBOOL(hAPP(_u3081, _u3070)) )).
% 28.96/29.17 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u3081, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3083, _u3085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3085), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3085), _u3072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3072), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3083 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3085), _u3073)), _u3072)) | hBOOL(hAPP(_u3081, _u3072)) )).
% 28.96/29.17 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = 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)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = 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)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 28.96/29.17 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3088), _u3089)) | 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), _u3089), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3090, _u3087))), _u3088))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3092)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3092), _u3093)) | 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), _u3093), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3094, _u3091))), _u3092)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3093), _u3091))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3096), _u3097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3097), 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), _u3096), _u3095)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3096), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3098, _u3095))), _u3097))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3100), _u3101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3101), 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), _u3100), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3102, _u3099))), _u3101)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3105)) | ( c_SMT_Oz3mod(_u3107, _u3105) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3107, _u3105)) )).
% 28.96/29.17 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)), _u3106)) | ( c_SMT_Oz3mod(_u3108, _u3106) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3108, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3106))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3113)) | ~hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3109), _u3113)) | ( _u3115 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3113), _u3110)), _u3109)) | hBOOL(hAPP(hAPP(_u3114, _u3110), _u3109)) )).
% 28.96/29.17 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)), _u3113)) | hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem57(_u3115, _u3114, _u3113))) )).
% 28.96/29.17 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)), _u3113)) | hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem57(_u3115, _u3114, _u3113)), _u3113)) )).
% 28.96/29.17 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)), _u3113)) | hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | ( _u3115 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3113), skolem56(_u3115, _u3114, _u3113))), skolem57(_u3115, _u3114, _u3113))) )).
% 28.96/29.17 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)), _u3113)) | hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | ~hBOOL(hAPP(hAPP(_u3114, skolem56(_u3115, _u3114, _u3113)), skolem57(_u3115, _u3114, _u3113))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), _u3116)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3116), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3122 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3120), _u3117)), _u3116)) | hBOOL(hAPP(hAPP(_u3121, _u3117), _u3116)) )).
% 28.96/29.17 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), skolem59(_u3122, _u3121, _u3120))) )).
% 28.96/29.17 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem59(_u3122, _u3121, _u3120)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | ( _u3122 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3120), skolem58(_u3122, _u3121, _u3120))), skolem59(_u3122, _u3121, _u3120))) )).
% 28.96/29.17 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | ~hBOOL(hAPP(hAPP(_u3121, skolem58(_u3122, _u3121, _u3120)), skolem59(_u3122, _u3121, _u3120))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3123)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3125), _u3123)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3125), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3124), _u3125), _u3123))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3124, _u3125))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3127)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u3126, _u3127))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u3139, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3141), _u3143))) | ( _u3143 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3139, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u3139, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3141), _u3143))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3128), _u3143)) | ( _u3141 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3129)), _u3128)) | hBOOL(hAPP(_u3139, _u3129)) )).
% 28.96/29.17 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u3139, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3141), _u3143))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3143), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3143), _u3130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3130), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3131)), _u3130)) | hBOOL(hAPP(_u3139, _u3131)) )).
% 28.96/29.17 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 28.96/29.17 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 28.96/29.17 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u3145 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3146), _u3147)), _u3148)) | ( _u3146 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3145), _u3146) = _u3147) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3146), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3148), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u3145 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3146), _u3147)), _u3148)) | ( _u3146 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3145), _u3146) = _u3147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3148), _u3146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3146)) )).
% 28.96/29.17 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u3145 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3146), _u3147)), _u3148)) | ( _u3146 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3145), _u3146) = _u3147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3148), _u3146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3146), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3148), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | ( _u3158 = 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), _u3158), skolem64(_u3158, _u3156, _u3154))), _u3156)) )).
% 28.96/29.17 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | ( _u3158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3156), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3158), hAPP(c_Nat_OSuc, skolem64(_u3158, _u3156, _u3154))))) )).
% 28.96/29.17 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | ( _u3158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3154, skolem64(_u3158, _u3156, _u3154))) )).
% 28.96/29.17 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | hBOOL(hAPP(_u3154, 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), _u3158), skolem64(_u3158, _u3156, _u3154))), _u3156)) )).
% 28.96/29.17 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | hBOOL(hAPP(_u3154, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3156), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3158), hAPP(c_Nat_OSuc, skolem64(_u3158, _u3156, _u3154))))) )).
% 28.96/29.17 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | hBOOL(hAPP(_u3154, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3154, skolem64(_u3158, _u3156, _u3154))) )).
% 28.96/29.17 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u3155, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3157), _u3159))) | ( _u3159 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3155, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u3155, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3157), _u3159))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3159), _u3150)), _u3157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3159), hAPP(c_Nat_OSuc, _u3150)))) | ~hBOOL(hAPP(_u3155, _u3150)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3160), _u3161)), _u3162) = 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), _u3160), _u3162)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3161), _u3162))), 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, _u3160, _u3162)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3161, _u3162))), _u3162))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3163)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3164)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3163), _u3164))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3165), _u3166)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3165)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3166))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3167, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3169)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3167), _u3168), _u3169))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3167, _u3168))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3170), _u3171)), _u3172) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3170), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3171), _u3172))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3170), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3171, _u3172))), _u3172))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3173), _u3174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3173), _u3175)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3174), _u3175))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3176), _u3177)), _u3176)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3178) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3179), _u3180) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3179, _u3180)), _u3180)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3182), _u3183)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3181), _u3182)), _u3183)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3184), _u3185)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3184, _u3185) = _u3184) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 28.96/29.17 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, _u3186, _u3187)), _u3186)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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, _u3188, _u3189)), _u3190) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3188), _u3190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3189), _u3190))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3191), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3192, _u3193)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3191), _u3192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3191), _u3193))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3194), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3195)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3194)), _u3195)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3196)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3197)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3196), _u3197)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3198) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3198), c_Groups_Ozero__class_Ozero(_u3198)), _u3199) = c_Groups_Ozero__class_Ozero(_u3198)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u3200) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3200), _u3201), c_Groups_Ozero__class_Ozero(_u3200)) = c_Groups_Ozero__class_Ozero(_u3200)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3202) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3202), _u3203), c_Groups_Oone__class_Oone(_u3202)) = _u3203) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3204)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3204), _u3205)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3204)), hAPP(c_Int_Onat, _u3205))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3207)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3206)), hAPP(c_Int_Onat, _u3207)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3206), _u3207))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3208), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u3208) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3209), _u3210)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3209), _u3210) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u3214 != 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), _u3214), _u3216)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3214), _u3218)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u3215 = 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), _u3215), _u3217)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3215), _u3219)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3217), _u3219)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3222, _u3224)) != _u3224) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3222), _u3224) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3223, _u3225)) = _u3225) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3223), _u3225) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3223, _u3225))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3226, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3228)) | 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), _u3227), _u3228))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3230, _u3229)), _u3229)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3231), 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)), _u3232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3231), _u3232)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3233), 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), _u3234), _u3233)), 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)), _u3234)) )).
% 28.96/29.17 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3233), 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)), _u3234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3234), _u3233)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3235)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3236), _u3235)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3236), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 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)), _u3235)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3236), 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), _u3236), _u3235)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__self-1, axiom, ( ( _u3237 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3237), _u3237) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3242, _u3244) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3242 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3244), skolem65(_u3244, _u3242))) )).
% 28.96/29.17 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u3243 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3245), _u3239)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3243, _u3245) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3247), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3248, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3248) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 28.96/29.17 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, _u3249, _u3250)), _u3250) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3251), _u3252)), _u3253), _u3252) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3253, _u3252)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3254), _u3255)), _u3256) = 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), _u3254), _u3256)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3255), _u3256))), 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, _u3254, _u3256)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3255, _u3256))), _u3256))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3257), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3258)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3257, _u3258))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 28.96/29.17 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, _u3259, _u3260)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3259), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3260))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u3261) | ( _u3262 = c_Groups_Ozero__class_Ozero(_u3261)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3261), _u3262), _u3263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3261), _u3262), _u3264)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3261), _u3263), _u3264)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u3265) | ( _u3266 = c_Groups_Ozero__class_Ozero(_u3265)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3265), _u3267), _u3266)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3265), _u3268), _u3266)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3265), _u3267), _u3268)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u3269) | ( _u3270 = c_Groups_Ozero__class_Ozero(_u3269)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3269), _u3270), _u3271)), _u3270) = _u3271) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u3272) | ( _u3273 = c_Groups_Ozero__class_Ozero(_u3272)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3274), _u3273)), _u3273) = _u3274) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u3275) | ( _u3276 != c_Groups_Ozero__class_Ozero(_u3275)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3275), _u3276), _u3277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3275), _u3276), _u3278)) = c_Groups_Ozero__class_Ozero(_u3275)) )).
% 28.96/29.17 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u3275) | ( _u3276 = c_Groups_Ozero__class_Ozero(_u3275)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3275), _u3276), _u3277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3275), _u3276), _u3278)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3275), _u3277), _u3278)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__self ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u3279) | ( _u3280 = c_Groups_Ozero__class_Ozero(_u3279)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3279), _u3280), _u3280) = c_Groups_Oone__class_Oone(_u3279)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u3281) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3281), c_Divides_Odiv__class_Omod(_u3281, _u3282, _u3283)), _u3283) = c_Groups_Ozero__class_Ozero(_u3281)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3284), _u3285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3286), _u3285)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3286), _u3284))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3287)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3288), _u3287)), _u3287) = _u3288) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3289)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3289), _u3290)), _u3289) = _u3290) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3291)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3291), _u3292)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3291), _u3293)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3292), _u3293)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3295), _u3294)), _u3295)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3296), _u3297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3298), 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), _u3297), _u3298)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3296), _u3298))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3299), _u3300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3299), _u3301)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3300), _u3301))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3302), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3303), _u3302)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3302), _u3303) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3304), 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)), _u3305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3305), _u3306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3304), _u3305)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3304), _u3306))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3307), 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)), _u3308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3307), _u3308)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3309), 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), _u3310), _u3309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3310), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3309), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3310), 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), _u3310), _u3309))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3311), _u3312)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3311), _u3312) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3314), 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), _u3313), _u3314)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3316), _u3317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3315), _u3317)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3315), _u3316))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3318)) | ~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), _u3318), _u3319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3319), _u3318)) )).
% 28.96/29.17 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)), _u3318)) | ~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), _u3318), _u3319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3319)) )).
% 28.96/29.17 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)), _u3318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3319), _u3318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3319)) | 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), _u3318), _u3319))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3320)) | ~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), _u3321), _u3320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3320), _u3321)) )).
% 28.96/29.17 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)), _u3320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3320), _u3321)) | 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), _u3321), _u3320))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3322)) | ~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), _u3323), _u3322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3323)) )).
% 28.96/29.17 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)), _u3322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3323)) | 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), _u3323), _u3322))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3326), _u3328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3328 = 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)), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3326), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3326), _u3328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3328 = 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)), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3328), _u3326)) )).
% 28.96/29.17 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3326), _u3328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3328 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3326), _u3328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3326), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3326), _u3328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3328 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3326), _u3328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3328), _u3326)) )).
% 28.96/29.17 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3327), _u3329) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3329 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3327), _u3329) = 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)), _u3327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3327), _u3329)) )).
% 28.96/29.17 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3327), _u3329) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3327), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3329), _u3327)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3331, _u3330)), _u3330)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3332), _u3333)), _u3332)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3334)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3336), _u3334)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3335), _u3336)), _u3334)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3337), _u3338)), _u3339)), _u3338) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3339), _u3338)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3340), _u3341)), _u3341)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3341))), _u3342) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3340), _u3342)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3343), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3344), _u3343))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3344, _u3343))), _u3345) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3344), _u3345)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3346), _u3347)), _u3348) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3346), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3347), _u3348))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3346), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3347, _u3348))), _u3348))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u3349 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3350), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3349), _u3350))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3349, _u3350))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3351) | ( _u3352 = c_Groups_Ozero__class_Ozero(_u3351)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3351), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3351), _u3353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3351), _u3352), _u3354))), _u3352) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3351), _u3354), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3351), _u3353), _u3352))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3355) | ( _u3356 = c_Groups_Ozero__class_Ozero(_u3355)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3355), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3355), _u3357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3355), _u3358), _u3356))), _u3356) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3355), _u3358), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3355), _u3357), _u3356))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u3359) | ( _u3360 = c_Groups_Ozero__class_Ozero(_u3359)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3359), _u3361), _u3360)), _u3360) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3359), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3359), _u3361), _u3360)), c_Groups_Oone__class_Oone(_u3359))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u3362) | ( _u3363 = c_Groups_Ozero__class_Ozero(_u3362)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), _u3363), _u3364)), _u3363) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3362), _u3364), _u3363)), c_Groups_Oone__class_Oone(_u3362))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u3365) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3365), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3365), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3365), _u3366), _u3367)), _u3367)), c_Divides_Odiv__class_Omod(_u3365, _u3366, _u3367))), _u3368) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3365), _u3366), _u3368)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u3369) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3369), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3369), _u3370), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3369), _u3371), _u3370))), c_Divides_Odiv__class_Omod(_u3369, _u3371, _u3370))), _u3372) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3369), _u3371), _u3372)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u3373) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3373), _u3374), _u3375)), _u3375)), c_Divides_Odiv__class_Omod(_u3373, _u3374, _u3375)) = _u3374) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u3376) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3376), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3376), _u3377), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3376), _u3378), _u3377))), c_Divides_Odiv__class_Omod(_u3376, _u3378, _u3377)) = _u3378) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u3379) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), c_Divides_Odiv__class_Omod(_u3379, _u3380, _u3381)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3379), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3379), _u3380), _u3381)), _u3381)) = _u3380) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__div ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u3389, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3391), _u3393))) | ( _u3393 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3389, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u3389, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3391), _u3393))) | ( _u3393 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3382), _u3393)) | ( _u3391 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3393), _u3383)), _u3382)) | hBOOL(hAPP(_u3389, _u3383)) )).
% 28.96/29.17 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ( _u3394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem67(_u3394, _u3392, _u3390)), _u3394)) )).
% 28.96/29.17 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ( _u3394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3392 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3394), skolem66(_u3394, _u3392, _u3390))), skolem67(_u3394, _u3392, _u3390))) )).
% 28.96/29.17 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ( _u3394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3390, skolem66(_u3394, _u3392, _u3390))) )).
% 28.96/29.17 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ~hBOOL(hAPP(_u3390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3394 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ~hBOOL(hAPP(_u3390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem67(_u3394, _u3392, _u3390)), _u3394)) )).
% 28.96/29.17 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ~hBOOL(hAPP(_u3390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3392 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3394), skolem66(_u3394, _u3392, _u3390))), skolem67(_u3394, _u3392, _u3390))) )).
% 28.96/29.17 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ~hBOOL(hAPP(_u3390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3390, skolem66(_u3394, _u3392, _u3390))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u3402, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3404, _u3406))) | ( _u3406 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3402, _u3404)) )).
% 28.96/29.17 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u3402, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3404, _u3406))) | ( _u3406 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3395), _u3406)) | ( _u3404 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3406), _u3396)), _u3395)) | hBOOL(hAPP(_u3402, _u3395)) )).
% 28.96/29.17 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem69(_u3407, _u3405, _u3403)), _u3407)) )).
% 28.96/29.17 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3405 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3407), skolem68(_u3407, _u3405, _u3403))), skolem69(_u3407, _u3405, _u3403))) )).
% 28.96/29.17 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3403, skolem69(_u3407, _u3405, _u3403))) )).
% 28.96/29.17 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ~hBOOL(hAPP(_u3403, _u3405)) | ( _u3407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ~hBOOL(hAPP(_u3403, _u3405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem69(_u3407, _u3405, _u3403)), _u3407)) )).
% 28.96/29.17 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ~hBOOL(hAPP(_u3403, _u3405)) | ( _u3405 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3407), skolem68(_u3407, _u3405, _u3403))), skolem69(_u3407, _u3405, _u3403))) )).
% 28.96/29.17 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ~hBOOL(hAPP(_u3403, _u3405)) | ~hBOOL(hAPP(_u3403, skolem69(_u3407, _u3405, _u3403))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3409), _u3410)) | 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), _u3410), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3411, _u3408))), _u3409)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3410), _u3408))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3412)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3412), _u3413)), _u3412) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3415)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3414, _u3415)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3414), hAPP(c_Int_Onat, _u3415))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3417)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3416), hAPP(c_Int_Onat, _u3417)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3416, _u3417))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3418), _u3419)), _u3420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3418), hAPP(c_Nat_OSuc, _u3419)))) | ( _u3419 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3420), _u3418)) )).
% 28.96/29.17 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)), _u3418)) | ( _u3419 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3420), _u3418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3418), _u3419)), _u3420)) )).
% 28.96/29.17 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)), _u3418)) | ( _u3419 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3420), _u3418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3418), hAPP(c_Nat_OSuc, _u3419)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3423)) | ( c_SMT_Oz3div(_u3425, _u3423) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3425), _u3423)) )).
% 28.96/29.17 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)), _u3424)) | ( c_SMT_Oz3div(_u3426, _u3424) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3426), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3424)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u3427 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3428, _u3427) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3428), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3427)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3428), _u3427))) )).
% 28.96/29.17 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u3427 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3428, _u3427) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3428), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3427)) = 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), _u3428), _u3427))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u3429 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3430, _u3429) != 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), _u3430)), _u3429) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3430), _u3429))) )).
% 28.96/29.17 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u3429 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3430, _u3429) = 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), _u3430)), _u3429) = 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), _u3430), _u3429))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3431), _u3432)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3432), _u3431) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3432), _u3431)), _u3431))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u3433) | ( _u3434 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3433), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3433), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3433), _u3434), _u3435)), _u3435)), c_Divides_Odiv__class_Omod(_u3433, _u3434, _u3435))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3437)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3436)), hAPP(c_Int_Onat, _u3437)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u3436, _u3437))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3442)) | ~hBOOL(hAPP(_u3441, _u3439)) | hBOOL(hAPP(_u3441, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3442), _u3440)))) | hBOOL(hAPP(_u3441, skolem70(_u3442, _u3441, _u3440))) )).
% 28.96/29.17 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)), _u3440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3442)) | ~hBOOL(hAPP(_u3441, _u3439)) | hBOOL(hAPP(_u3441, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3442), _u3440)))) | ~hBOOL(hAPP(_u3441, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem70(_u3442, _u3441, _u3440)), _u3440))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3444), _u3445), _u3446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3444), c_Groups_Ozero__class_Ozero(_u3444)), skolem71(_u3446, _u3445, _u3444))) )).
% 28.96/29.17 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3444), _u3445), _u3446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3444), skolem71(_u3446, _u3445, _u3444)), c_Groups_Oone__class_Oone(_u3444))) )).
% 28.96/29.17 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3444), _u3445), _u3446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3444), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3444), skolem71(_u3446, _u3445, _u3444)), _u3445)), _u3446)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3447), _u3448)), _u3449) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3447), _u3449)), _u3448)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3450) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3450), _u3451), _u3452) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3450), _u3453), _u3454)) | ( _u3451 != _u3452) | ( _u3453 = _u3454) )).
% 28.96/29.17 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u3450) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3450), _u3451), _u3452) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3450), _u3453), _u3454)) | ( _u3453 != _u3454) | ( _u3451 = _u3452) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u3455) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3456), _u3457)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3455), hAPP(c_Int_Oring__1__class_Oof__int(_u3455), _u3456)), hAPP(c_Int_Oring__1__class_Oof__int(_u3455), _u3457))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u3458) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3459, _u3458)), _u3460), _u3461), _u3462) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3458), hAPP(_u3460, _u3462)), hAPP(_u3461, _u3462))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u3463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3464), _u3465)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3463), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3465), _u3464)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3463), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3463), _u3465)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3463), _u3464))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3466), _u3467)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3467)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3466)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3467), _u3466))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3468) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3468), _u3469), _u3470) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3468), _u3471), _u3472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3468), _u3469), _u3470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3468), _u3471), _u3472)) )).
% 28.96/29.17 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3468) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3468), _u3469), _u3470) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3468), _u3471), _u3472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3468), _u3471), _u3472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3468), _u3469), _u3470)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u3473) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3473), _u3474), _u3475) != c_Groups_Ozero__class_Ozero(_u3473)) | ( _u3474 = _u3475) )).
% 28.96/29.17 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u3473) | ( _u3474 != _u3475) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3473), _u3474), _u3475) = c_Groups_Ozero__class_Ozero(_u3473)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u3476) | ( _u3477 != _u3478) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3476), _u3477), _u3478) = c_Groups_Ozero__class_Ozero(_u3476)) )).
% 28.96/29.17 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u3476) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3476), _u3477), _u3478) != c_Groups_Ozero__class_Ozero(_u3476)) | ( _u3477 = _u3478) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u3479) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3479), _u3480), _u3480) = c_Groups_Ozero__class_Ozero(_u3479)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u3481) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3481), _u3482), c_Groups_Ozero__class_Ozero(_u3481)) = _u3482) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3483) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3483), _u3484), _u3485) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3483), _u3486), _u3487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), _u3484), _u3485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), _u3486), _u3487)) )).
% 28.96/29.17 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3483) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3483), _u3484), _u3485) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3483), _u3486), _u3487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), _u3486), _u3487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), _u3484), _u3485)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3488) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3488), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3488), _u3489), _u3490)), _u3490) = _u3489) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3491) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3491), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3491), _u3492), _u3493)), _u3493) = _u3492) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3494) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3494), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3494), _u3495), _u3496)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3494), _u3496), _u3495)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u3497) | ( c_Divides_Odiv__class_Omod(_u3497, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3497), _u3498), _u3499), _u3500) = c_Divides_Odiv__class_Omod(_u3497, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3497), _u3498), c_Divides_Odiv__class_Omod(_u3497, _u3499, _u3500)), _u3500)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u3501) | ( c_Divides_Odiv__class_Omod(_u3501, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3501), _u3502), _u3503), _u3504) = c_Divides_Odiv__class_Omod(_u3501, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3501), c_Divides_Odiv__class_Omod(_u3501, _u3502, _u3504)), _u3503), _u3504)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u3505) | ( c_Divides_Odiv__class_Omod(_u3505, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3505), _u3506), _u3507), _u3508) = c_Divides_Odiv__class_Omod(_u3505, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3505), c_Divides_Odiv__class_Omod(_u3505, _u3506, _u3508)), c_Divides_Odiv__class_Omod(_u3505, _u3507, _u3508)), _u3508)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u3509) | ( c_Divides_Odiv__class_Omod(_u3509, _u3510, _u3511) != c_Divides_Odiv__class_Omod(_u3509, _u3512, _u3511)) | ( c_Divides_Odiv__class_Omod(_u3509, _u3513, _u3511) != c_Divides_Odiv__class_Omod(_u3509, _u3514, _u3511)) | ( c_Divides_Odiv__class_Omod(_u3509, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3509), _u3510), _u3513), _u3511) = c_Divides_Odiv__class_Omod(_u3509, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3509), _u3512), _u3514), _u3511)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3515), _u3516) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3516), _u3515) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3515 = _u3516) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3517), _u3517) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3518), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3518) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3519) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 28.96/29.17 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, _u3520)), _u3521)), hAPP(c_Nat_OSuc, _u3522)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3520), _u3521)), _u3522)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3523)), hAPP(c_Nat_OSuc, _u3524)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3523), _u3524)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3525), _u3526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3525), _u3527)), _u3526)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3528), _u3529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3528), _u3530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3530), _u3529)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3530), _u3528))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3531), _u3532)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3531, _u3532) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3531), _u3532), _u3532)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3535), _u3537)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3535, _u3537) = _u3535) )).
% 28.96/29.17 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3536), _u3538)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3536, _u3538) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3536), _u3538), _u3538)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3539), _u3540)), _u3540) = _u3539) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3541), _u3542)), _u3541) = _u3542) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3543), _u3544)), _u3545) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3543), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3544), _u3545))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3546), _u3547)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3546), _u3548)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3547), _u3548)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3549), _u3550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3551), _u3550)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3549), _u3551)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3552)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3554), _u3552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3553), _u3554)) )).
% 28.96/29.17 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3553), _u3554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3552)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3554), _u3552))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3557)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3556), _u3555)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3557), _u3555)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3556), _u3557)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3560)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3559), _u3558) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3560), _u3558)) | ( _u3559 = _u3560) )).
% 28.96/29.17 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3560)) | ( _u3559 != _u3560) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3559), _u3558) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3560), _u3558)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3561), _u3562)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3562), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3562), _u3561)) = _u3561) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3563), _u3564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3563), _u3565)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3564), _u3565))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3566), _u3567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3568), _u3567)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3568), _u3566))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3569), _u3570)), _u3569)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3571), _u3572)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3572, _u3571) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3572), _u3571), _u3571)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3573), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3574), _u3575)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3573), _u3574)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3573), _u3575))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3576), _u3577)), _u3578) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3576), _u3578)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3577), _u3578))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3579), _u3580)), _u3581) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3579), _u3581)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3580), _u3581))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3583), _u3584)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3582), _u3583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3582), _u3584))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3585), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3586, _u3587)), _u3587) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3585), _u3586), _u3587)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 28.96/29.17 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, _u3588, _u3589)), _u3590), _u3589) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3588), _u3590), _u3589)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3591), _u3592)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3592), _u3591)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3592)), hAPP(c_Int_Onat, _u3591))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u3596, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3598), _u3600)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3600), _u3598)) | hBOOL(hAPP(_u3596, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3598)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3600)))) )).
% 28.96/29.17 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u3596, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3598), _u3600)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3598), _u3600)) | hBOOL(hAPP(_u3596, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u3597, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3601)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3601), _u3599)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3599), _u3601)) )).
% 28.96/29.17 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u3597, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3601)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3601), _u3599)) | ~hBOOL(hAPP(_u3597, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u3597, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3601)))) | ~hBOOL(hAPP(_u3597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3599)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3601)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3599), _u3601)) )).
% 28.96/29.17 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u3597, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3601)))) | ~hBOOL(hAPP(_u3597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3599)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3601)))) | ~hBOOL(hAPP(_u3597, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), _u3603), _u3604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3602), _u3603), _u3604)), c_Groups_Ozero__class_Ozero(_u3602))) )).
% 28.96/29.17 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3602), _u3603), _u3604)), c_Groups_Ozero__class_Ozero(_u3602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), _u3603), _u3604)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3605), _u3606), _u3607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3605), _u3606), _u3607)), c_Groups_Ozero__class_Ozero(_u3605))) )).
% 28.96/29.17 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3605), _u3606), _u3607)), c_Groups_Ozero__class_Ozero(_u3605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3605), _u3606), _u3607)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u3608) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), _u3609), _u3610)), _u3611) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), _u3612), _u3610)), _u3613)) | ( _u3611 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3608), _u3612), _u3609)), _u3610)), _u3613)) )).
% 28.96/29.17 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u3608) | ( _u3611 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3608), _u3612), _u3609)), _u3610)), _u3613)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), _u3609), _u3610)), _u3611) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), _u3612), _u3610)), _u3613)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u3614) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), _u3615), _u3616)), _u3617) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), _u3618), _u3616)), _u3619)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3614), _u3615), _u3618)), _u3616)), _u3617) = _u3619) )).
% 28.96/29.17 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u3614) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3614), _u3615), _u3618)), _u3616)), _u3617) != _u3619) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), _u3615), _u3616)), _u3617) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), _u3618), _u3616)), _u3619)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u3620) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3620), c_Groups_Ozero__class_Ozero(_u3620)), _u3621) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3620), _u3621)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3622) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3622), _u3623), _u3624) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3622), _u3623), hAPP(c_Groups_Ouminus__class_Ouminus(_u3622), _u3624))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u3625) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3625), _u3626), _u3627) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3625), _u3626), hAPP(c_Groups_Ouminus__class_Ouminus(_u3625), _u3627))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u3628) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3628), _u3629), _u3630) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3628), _u3629), hAPP(c_Groups_Ouminus__class_Ouminus(_u3628), _u3630))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u3631) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3631), _u3632), hAPP(c_Groups_Ouminus__class_Ouminus(_u3631), _u3633)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3631), _u3632), _u3633)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3636), _u3638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3636), _u3638)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.17 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), _u3637), _u3639)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3637), _u3639)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3641), _u3640)), _u3641)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3644), _u3646))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3646), _u3644)) )).
% 28.96/29.17 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3647), _u3645)) | 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), _u3645), _u3647))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3648), _u3649)), hAPP(c_Nat_OSuc, _u3648))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3650), _u3651)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__is__0__eq_H-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), _u3652), _u3653) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3656), _u3658) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3656), _u3658)) )).
% 28.96/29.17 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3657), _u3659)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3657), _u3659) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3665), _u3667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3663), _u3667)), _u3665)) )).
% 28.96/29.17 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), _u3664), _u3668)), _u3666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3666), _u3668))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3669), _u3670)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3670), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3669), _u3670)) = _u3669) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3671), _u3672)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3672)), _u3671) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3672), _u3671))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3673), _u3674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3673), _u3675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3674), _u3673)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3675), _u3673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3674), _u3675)) )).
% 28.96/29.17 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3673), _u3674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3673), _u3675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3674), _u3675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3674), _u3673)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3675), _u3673))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3676), _u3677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3678), _u3676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3676), _u3678)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3677), _u3678))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3679), _u3680)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3680), _u3681)), _u3679) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3680), _u3679)), _u3681)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682)), _u3684) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3683), _u3684)), _u3682)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3685), _u3686)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3687), _u3686)), _u3685) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3687), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3686), _u3685))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3688), _u3689)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3688) != _u3690) | ( _u3689 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3690), _u3688)) )).
% 28.96/29.17 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3688), _u3689)) | ( _u3689 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3690), _u3688)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3688) = _u3690) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3691), _u3692)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3692), _u3691)), _u3691) = _u3692) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3693), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3695), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3694), _u3693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), _u3693)), _u3694)) )).
% 28.96/29.17 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3693), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), _u3693)), _u3694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3695), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3694), _u3693))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3696), _u3697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3698), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3697), _u3696)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3698), _u3697)), _u3696)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3699), _u3700)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3700), _u3699)) = _u3700) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3701), _u3702)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3703), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3702), _u3703)), _u3701))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3707), _u3709)), _u3711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3707), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3711), _u3709))) )).
% 28.96/29.17 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3708), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3712), _u3710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3708), _u3710)), _u3712)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3713), _u3714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3715), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3714), _u3713)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3715), _u3713)), _u3714)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3716), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3717)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3716), _u3717)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3718), _u3719) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3718), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3719))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3720)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3720) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3721), hAPP(c_Nat_OSuc, _u3722)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3721), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3722)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3723), _u3724)), _u3724) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3723), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3723, _u3724))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3725), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3726), _u3725)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3726), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3726, _u3725))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3727, _u3728) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3727), _u3728)), _u3728))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3729), _u3730)) | ( c_Nat__Transfer_Otsub(_u3730, _u3729) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3730), _u3729)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3731), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3732)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3731), _u3732))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u3733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), _u3734), _u3735)), _u3736)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), _u3737), _u3735)), _u3738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3733), _u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3733), _u3737), _u3734)), _u3735)), _u3738))) )).
% 28.96/29.17 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u3733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3733), _u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3733), _u3737), _u3734)), _u3735)), _u3738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), _u3734), _u3735)), _u3736)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), _u3737), _u3735)), _u3738))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u3739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), _u3740), _u3741)), _u3742)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), _u3743), _u3741)), _u3744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3739), _u3740), _u3743)), _u3741)), _u3742)), _u3744)) )).
% 28.96/29.17 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u3739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3739), _u3740), _u3743)), _u3741)), _u3742)), _u3744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), _u3740), _u3741)), _u3742)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), _u3743), _u3741)), _u3744))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u3745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), _u3746), _u3747)), _u3748)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), _u3749), _u3747)), _u3750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3745), _u3746), _u3749)), _u3747)), _u3748)), _u3750)) )).
% 28.96/29.17 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u3745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3745), _u3746), _u3749)), _u3747)), _u3748)), _u3750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), _u3746), _u3747)), _u3748)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), _u3749), _u3747)), _u3750))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u3751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), _u3752), _u3753)), _u3754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), _u3755), _u3753)), _u3756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3751), _u3754), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3751), _u3755), _u3752)), _u3753)), _u3756))) )).
% 28.96/29.17 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u3751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3751), _u3754), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3751), _u3755), _u3752)), _u3753)), _u3756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), _u3752), _u3753)), _u3754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), _u3755), _u3753)), _u3756))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3757)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3757), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u3757) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3758), hAPP(c_Nat_OSuc, _u3759))), _u3758)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u3765, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3767), _u3769))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3767), _u3769)) | hBOOL(hAPP(_u3765, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u3765, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3767), _u3769))) | ( _u3767 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3769), _u3760)) | hBOOL(hAPP(_u3765, _u3760)) )).
% 28.96/29.17 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u3766, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3768), _u3770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3768), _u3770)) | ( _u3768 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3770), skolem72(_u3770, _u3768, _u3766))) )).
% 28.96/29.17 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u3766, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3768), _u3770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3768), _u3770)) | ~hBOOL(hAPP(_u3766, skolem72(_u3770, _u3768, _u3766))) )).
% 28.96/29.17 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u3766, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3768), _u3770))) | ~hBOOL(hAPP(_u3766, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3768 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3770), skolem72(_u3770, _u3768, _u3766))) )).
% 28.96/29.17 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u3766, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3768), _u3770))) | ~hBOOL(hAPP(_u3766, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3766, skolem72(_u3770, _u3768, _u3766))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u3776, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3778), _u3780))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3778), _u3780)) | hBOOL(hAPP(_u3776, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u3776, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3778), _u3780))) | ( _u3778 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3780), _u3771)) | hBOOL(hAPP(_u3776, _u3771)) )).
% 28.96/29.17 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u3777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3779), _u3781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3779), _u3781)) | ( _u3779 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3781), skolem73(_u3781, _u3779, _u3777))) )).
% 28.96/29.17 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u3777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3779), _u3781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3779), _u3781)) | ~hBOOL(hAPP(_u3777, skolem73(_u3781, _u3779, _u3777))) )).
% 28.96/29.17 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u3777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3779), _u3781))) | ~hBOOL(hAPP(_u3777, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3779 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3781), skolem73(_u3781, _u3779, _u3777))) )).
% 28.96/29.17 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u3777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3779), _u3781))) | ~hBOOL(hAPP(_u3777, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3777, skolem73(_u3781, _u3779, _u3777))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3784), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3786), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3784), _u3786)) )).
% 28.96/29.17 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3785), _u3787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3785), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3787), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3788), _u3789)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3789), _u3788))), _u3790) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3789)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3788), _u3790))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3791), _u3792)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3793), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3792), _u3791))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3793), _u3791)), hAPP(c_Nat_OSuc, _u3792))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3794), _u3795)) | ~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), _u3795), _u3796)), _u3797)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3794), _u3796)), _u3798))) | 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), _u3795), _u3794)), _u3796)), _u3797)), _u3798)) )).
% 28.96/29.17 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3794), _u3795)) | ~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), _u3795), _u3794)), _u3796)), _u3797)), _u3798)) | 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), _u3795), _u3796)), _u3797)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3794), _u3796)), _u3798))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3799), _u3800)) | ( 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), _u3800), _u3801)), _u3802)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3799), _u3801)), _u3803)) = 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), _u3800), _u3799)), _u3801)), _u3802)), _u3803)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3804), _u3805)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3805), _u3806)), _u3807) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3804), _u3806)), _u3808)) | ( 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), _u3805), _u3804)), _u3806)), _u3807) = _u3808) )).
% 28.96/29.17 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3804), _u3805)) | ( 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), _u3805), _u3804)), _u3806)), _u3807) != _u3808) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3805), _u3806)), _u3807) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3804), _u3806)), _u3808)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3809), _u3810)) | ~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), _u3809), _u3811)), _u3812)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3810), _u3811)), _u3813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3812), 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), _u3810), _u3809)), _u3811)), _u3813))) )).
% 28.96/29.17 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3809), _u3810)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3812), 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), _u3810), _u3809)), _u3811)), _u3813))) | 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), _u3809), _u3811)), _u3812)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3810), _u3811)), _u3813))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3814), _u3815)) | ( 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), _u3814), _u3816)), _u3817)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3815), _u3816)), _u3818)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), 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), _u3815), _u3814)), _u3816)), _u3818))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3819), _u3820)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3819), _u3821)), _u3822) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3820), _u3821)), _u3823)) | ( _u3822 = 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), _u3820), _u3819)), _u3821)), _u3823)) )).
% 28.96/29.17 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3819), _u3820)) | ( _u3822 != 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), _u3820), _u3819)), _u3821)), _u3823)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3819), _u3821)), _u3822) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3820), _u3821)), _u3823)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3826, _u3828) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3826, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3828)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3827, _u3829) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3827, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3829)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3827, _u3829)), _u3829)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3832, _u3834) != 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), _u3832), _u3834) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3833, _u3835) = 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), _u3833), _u3835) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3835), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3833, _u3835))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3836, _u3837) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3836), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3836), _u3837)), _u3837))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3838), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3839), _u3838)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3839), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3839, _u3838))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3842), _u3844)) | ( c_Nat__Transfer_Otsub(_u3844, _u3842) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3844), _u3842)) )).
% 28.96/29.17 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3843), _u3845)) | ( c_Nat__Transfer_Otsub(_u3845, _u3843) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3846)) | ( _u3846 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3846), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3847)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3847), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u3847) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3848), _u3849)) | ~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), _u3849), _u3850)), _u3851)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3848), _u3850)), _u3852))) | 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), _u3849), _u3848)), _u3850)), _u3851)), _u3852)) )).
% 28.96/29.17 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3848), _u3849)) | ~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), _u3849), _u3848)), _u3850)), _u3851)), _u3852)) | 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), _u3849), _u3850)), _u3851)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3848), _u3850)), _u3852))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3854)) | ~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), _u3853), _u3855)), _u3856)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3854), _u3855)), _u3857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3856), 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), _u3854), _u3853)), _u3855)), _u3857))) )).
% 28.96/29.17 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3856), 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), _u3854), _u3853)), _u3855)), _u3857))) | 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), _u3853), _u3855)), _u3856)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3854), _u3855)), _u3857))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__eq__if-1, axiom, ( ( _u3860 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3860), _u3862) = _u3862) )).
% 28.96/29.17 cnf(fact_add__eq__if-2, axiom, ( ( _u3861 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3861), _u3863) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3861), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3863))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__if ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3865), _u3864)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3865), _u3864) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 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)), _u3864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3865), _u3864)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3865), _u3864) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3865), _u3864)), _u3864))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3867), _u3866)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3867), _u3866) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3867), _u3866)), _u3866))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__eq__if-1, axiom, ( ( _u3870 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3870), _u3872) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_mult__eq__if-2, axiom, ( ( _u3871 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3871), _u3873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3873), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3871), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3873))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3875)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3875), _u3874)), _u3875) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3874), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3878)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3880)) | ~hBOOL(hAPP(_u3879, _u3877)) | hBOOL(hAPP(_u3879, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3877), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3880), _u3878)))) | hBOOL(hAPP(_u3879, skolem74(_u3880, _u3879, _u3878))) )).
% 28.96/29.17 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)), _u3878)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3880)) | ~hBOOL(hAPP(_u3879, _u3877)) | hBOOL(hAPP(_u3879, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3877), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3880), _u3878)))) | ~hBOOL(hAPP(_u3879, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem74(_u3880, _u3879, _u3878)), _u3878))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3882), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3883), 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), _u3883), _u3882))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3881)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3885), 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), _u3885), _u3886))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3884))), _u3886)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3888, _u3889) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3890, _u3889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3890), _u3888)) | ( _u3888 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3890), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3889), skolem75(_u3890, _u3889, _u3888)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u3893, _u3894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3894), _u3892)) | hBOOL(hAPP(_u3893, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem76(_u3894, _u3893, _u3892)), _u3892)) )).
% 28.96/29.17 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u3893, _u3894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3894), _u3892)) | hBOOL(hAPP(_u3893, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3893, skolem76(_u3894, _u3893, _u3892))) )).
% 28.96/29.17 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u3893, _u3894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3894), _u3892)) | hBOOL(hAPP(_u3893, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3893, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem76(_u3894, _u3893, _u3892)), _u3892))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3895))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3895) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3895)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u3897) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3897), _u3898), _u3899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3897), c_Groups_Ozero__class_Ozero(_u3897)), skolem77(_u3899, _u3898, _u3897))) )).
% 28.96/29.17 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u3897) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3897), _u3898), _u3899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3897), _u3898), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3897), _u3899), skolem77(_u3899, _u3898, _u3897)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u3900) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3900), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3901), _u3902)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3900), hAPP(c_Int_Oring__1__class_Oof__int(_u3900), _u3901)), _u3902)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u3903) | ~class_Int_Oring__char__0(_u3903) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3903), _u3904) != hAPP(c_Int_Onumber__class_Onumber__of(_u3903), _u3905)) | ( _u3904 = _u3905) )).
% 28.96/29.17 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u3903) | ~class_Int_Oring__char__0(_u3903) | ( _u3904 != _u3905) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3903), _u3904) = hAPP(c_Int_Onumber__class_Onumber__of(_u3903), _u3905)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u3906) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3906), _u3907) != _u3908) | ( _u3908 = hAPP(c_Int_Onumber__class_Onumber__of(_u3906), _u3907)) )).
% 28.96/29.17 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u3906) | ( _u3908 != hAPP(c_Int_Onumber__class_Onumber__of(_u3906), _u3907)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3906), _u3907) = _u3908) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3909) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3909), hAPP(c_Groups_Oabs__class_Oabs(_u3909), _u3910)) = hAPP(c_Groups_Oabs__class_Oabs(_u3909), _u3910)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u3911) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3911), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u3912)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3911), _u3912)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3913)), _u3914))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), hAPP(c_Groups_Oabs__class_Oabs(_u3915), _u3916)), _u3917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), _u3916), _u3917)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3918) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3918), _u3919), hAPP(c_Groups_Oabs__class_Oabs(_u3918), _u3919))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3920) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3920), c_Groups_Ozero__class_Ozero(_u3920)) = c_Groups_Ozero__class_Ozero(_u3920)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3921) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3921), _u3922) != c_Groups_Ozero__class_Ozero(_u3921)) | ( _u3922 = c_Groups_Ozero__class_Ozero(_u3921)) )).
% 28.96/29.17 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3921) | ( _u3922 != c_Groups_Ozero__class_Ozero(_u3921)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3921), _u3922) = c_Groups_Ozero__class_Ozero(_u3921)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3923) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3923), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3923), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3924)), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3925))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3923), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3924)), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3925))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u3926) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3926), hAPP(c_Groups_Oabs__class_Oabs(_u3926), _u3927)), hAPP(c_Groups_Oabs__class_Oabs(_u3926), _u3927)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3926), _u3927), _u3927)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u3928) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3928), _u3929), _u3930)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3928), hAPP(c_Groups_Oabs__class_Oabs(_u3928), _u3929)), hAPP(c_Groups_Oabs__class_Oabs(_u3928), _u3930))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3931) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3931), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3931), _u3932), _u3933)) = hAPP(c_Groups_Oabs__class_Oabs(_u3931), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3931), _u3933), _u3932))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u3934) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3934), c_Groups_Oone__class_Oone(_u3934)) = c_Groups_Oone__class_Oone(_u3934)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3935) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3935), hAPP(c_Groups_Ouminus__class_Ouminus(_u3935), _u3936)) = hAPP(c_Groups_Oabs__class_Oabs(_u3935), _u3936)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3937) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3937), _u3938), _u3939)), _u3940) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3937), hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), _u3938), _u3940)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), _u3939), _u3940))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u3941) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3941), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3941), _u3942)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3941), _u3942)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3943, tc_HOL_Obool)), _u3944), _u3944) = c_Orderings_Obot__class_Obot(tc_fun(_u3943, tc_HOL_Obool))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3945, tc_HOL_Obool)), _u3946), c_Orderings_Obot__class_Obot(tc_fun(_u3945, tc_HOL_Obool))) = _u3946) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3947, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u3947, tc_HOL_Obool))), _u3948) = c_Orderings_Obot__class_Obot(tc_fun(_u3947, tc_HOL_Obool))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3949)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3949)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3950) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3950), hAPP(hAPP(c_Power_Opower__class_Opower(_u3950), _u3951), _u3952)), _u3953) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3950), _u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3952), _u3953))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3954, tc_HOL_Obool)), _u3955), _u3956)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3954, tc_HOL_Obool)), _u3956), _u3957)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3954, tc_HOL_Obool)), _u3956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3954, tc_HOL_Obool)), _u3957), _u3955)) = _u3955) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3958, tc_HOL_Obool)), _u3959), _u3960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3958, tc_HOL_Obool)), _u3961), _u3962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3958, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3958, tc_HOL_Obool)), _u3959), _u3962)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3958, tc_HOL_Obool)), _u3960), _u3961))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3963, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3963, tc_HOL_Obool)), _u3964), _u3965)), _u3964)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3966), _u3967)), _u3968) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3967), _u3968))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3969) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3969), _u3970), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3970) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 28.96/29.17 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, _u3971, _u3972)), _u3973), _u3972) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3971), _u3973), _u3972)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u3974) | ~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), _u3975))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3974), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3975)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3974), _u3975)) )).
% 28.96/29.17 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u3974) | 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), _u3975))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3974), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3975)) = c_Groups_Ozero__class_Ozero(_u3974)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u3976) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3976), _u3977) = hAPP(c_Int_Oring__1__class_Oof__int(_u3976), _u3977)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u3978) | ~class_Rings_Olinordered__idom(_u3978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)), c_Groups_Ozero__class_Ozero(_u3978))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979))) )).
% 28.96/29.17 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u3978) | ~class_Rings_Olinordered__idom(_u3978) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)), c_Groups_Ozero__class_Ozero(_u3978))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 28.96/29.17 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), _u3982)), _u3984))) | ( _u3982 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3984 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 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), _u3983)), _u3985))) | ( _u3983 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17 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), _u3983)), _u3985))) | ( _u3985 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), c_Groups_Ozero__class_Ozero(_u3986)), _u3987)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3986), _u3987) = _u3987) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3988), hAPP(c_Groups_Oabs__class_Oabs(_u3988), _u3989)), c_Groups_Ozero__class_Ozero(_u3988))) | ( _u3989 = c_Groups_Ozero__class_Ozero(_u3988)) )).
% 28.96/29.17 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3988) | ( _u3989 != c_Groups_Ozero__class_Ozero(_u3988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3988), hAPP(c_Groups_Oabs__class_Oabs(_u3988), _u3989)), c_Groups_Ozero__class_Ozero(_u3988))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3990), c_Groups_Ozero__class_Ozero(_u3990)), hAPP(c_Groups_Oabs__class_Oabs(_u3990), _u3991))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3992) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3992), c_Groups_Ozero__class_Ozero(_u3992)), _u3993)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3992), _u3993) = _u3993) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3994), c_Groups_Ozero__class_Ozero(_u3994)), hAPP(c_Groups_Oabs__class_Oabs(_u3994), _u3995))) | ( _u3995 != c_Groups_Ozero__class_Ozero(_u3994)) )).
% 28.96/29.17 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3994) | ( _u3995 = c_Groups_Ozero__class_Ozero(_u3994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3994), c_Groups_Ozero__class_Ozero(_u3994)), hAPP(c_Groups_Oabs__class_Oabs(_u3994), _u3995))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3996), hAPP(c_Groups_Oabs__class_Oabs(_u3996), _u3997)), c_Groups_Ozero__class_Ozero(_u3996))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u3998) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3998), hAPP(c_Groups_Oabs__class_Oabs(_u3998), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3998), _u3999), _u4000))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3998), hAPP(c_Groups_Oabs__class_Oabs(_u3998), _u3999)), hAPP(c_Groups_Oabs__class_Oabs(_u3998), _u4000)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u4001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4001), hAPP(c_Groups_Oabs__class_Oabs(_u4001), _u4002)), _u4003)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4001), hAPP(c_Groups_Oabs__class_Oabs(_u4001), _u4004)), _u4005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4001), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4001), hAPP(c_Groups_Oabs__class_Oabs(_u4001), _u4002)), hAPP(c_Groups_Oabs__class_Oabs(_u4001), _u4004))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4001), _u4003), _u4005))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4006), hAPP(c_Groups_Oabs__class_Oabs(_u4006), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4006), hAPP(c_Groups_Oabs__class_Oabs(_u4006), _u4007)), hAPP(c_Groups_Oabs__class_Oabs(_u4006), _u4008)))), hAPP(c_Groups_Oabs__class_Oabs(_u4006), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4006), _u4007), _u4008)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4009) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4009), hAPP(c_Groups_Oabs__class_Oabs(_u4009), _u4010)), hAPP(c_Groups_Oabs__class_Oabs(_u4009), _u4011))), hAPP(c_Groups_Oabs__class_Oabs(_u4009), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4009), _u4010), _u4011)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4012) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4012), hAPP(c_Groups_Oabs__class_Oabs(_u4012), _u4013)), hAPP(c_Groups_Oabs__class_Oabs(_u4012), _u4014))), hAPP(c_Groups_Oabs__class_Oabs(_u4012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4012), _u4014), _u4013)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4015) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4015), hAPP(c_Groups_Ouminus__class_Ouminus(_u4015), _u4016)), hAPP(c_Groups_Oabs__class_Oabs(_u4015), _u4016))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Oabs__class_Oabs(_u4017), _u4018)), _u4019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), _u4018), _u4019)) )).
% 28.96/29.17 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Oabs__class_Oabs(_u4017), _u4018)), _u4019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Ouminus__class_Ouminus(_u4017), _u4018)), _u4019)) )).
% 28.96/29.17 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), _u4018), _u4019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Ouminus__class_Ouminus(_u4017), _u4018)), _u4019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Oabs__class_Oabs(_u4017), _u4018)), _u4019)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4020), _u4021), _u4022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4020), hAPP(c_Groups_Ouminus__class_Ouminus(_u4020), _u4021)), _u4022)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4020), hAPP(c_Groups_Oabs__class_Oabs(_u4020), _u4021)), _u4022)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4023), hAPP(c_Groups_Oabs__class_Oabs(_u4023), _u4024)), _u4025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4023), hAPP(c_Groups_Ouminus__class_Ouminus(_u4023), _u4024)), _u4025)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Oabs__class_Oabs(_u4026), _u4027)), _u4028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), _u4027), _u4028)) )).
% 28.96/29.17 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Oabs__class_Oabs(_u4026), _u4027)), _u4028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Ouminus__class_Ouminus(_u4026), _u4027)), _u4028)) )).
% 28.96/29.17 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u4026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), _u4027), _u4028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Ouminus__class_Ouminus(_u4026), _u4027)), _u4028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Oabs__class_Oabs(_u4026), _u4027)), _u4028)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u4029) | ~class_Orderings_Olinorder(_u4029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4030)), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4031))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4031)), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4030))) )).
% 28.96/29.17 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u4029) | ~class_Orderings_Olinorder(_u4029) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4031)), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4030)), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4031))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4032) | ~class_Rings_Osemiring(_u4032) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4032), _u4034), _u4035)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4032), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), _u4034)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), _u4035))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4036) | ~class_Rings_Osemiring(_u4036) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), _u4037), _u4038)), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4039)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4037), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4039))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4038), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4039)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4040) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4040), _u4041), hAPP(c_Nat_OSuc, _u4042)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4041), hAPP(hAPP(c_Power_Opower__class_Opower(_u4040), _u4041), _u4042))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4043) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4043), _u4044), hAPP(hAPP(c_Power_Opower__class_Opower(_u4043), _u4044), _u4045)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4043), _u4044), hAPP(c_Nat_OSuc, _u4045))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4046) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4046), hAPP(hAPP(c_Power_Opower__class_Opower(_u4046), _u4047), _u4048)), _u4047) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4046), _u4047), hAPP(c_Nat_OSuc, _u4048))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4049) | ~class_Rings_Oring(_u4049) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4049), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4049), _u4050), _u4051)), hAPP(c_Int_Onumber__class_Onumber__of(_u4049), _u4052)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4049), _u4050), hAPP(c_Int_Onumber__class_Onumber__of(_u4049), _u4052))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4049), _u4051), hAPP(c_Int_Onumber__class_Onumber__of(_u4049), _u4052)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4053) | ~class_Rings_Oring(_u4053) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4053), hAPP(c_Int_Onumber__class_Onumber__of(_u4053), _u4054)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4053), _u4055), _u4056)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4053), hAPP(c_Int_Onumber__class_Onumber__of(_u4053), _u4054)), _u4055)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4053), hAPP(c_Int_Onumber__class_Onumber__of(_u4053), _u4054)), _u4056))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4057) | ~class_Rings_Olinordered__idom(_u4057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4057), hAPP(c_Int_Onumber__class_Onumber__of(_u4057), _u4058)), hAPP(c_Int_Onumber__class_Onumber__of(_u4057), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4058), _u4059)) )).
% 28.96/29.17 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4057) | ~class_Rings_Olinordered__idom(_u4057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4058), _u4059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4057), hAPP(c_Int_Onumber__class_Onumber__of(_u4057), _u4058)), hAPP(c_Int_Onumber__class_Onumber__of(_u4057), _u4059))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4060) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4060), _u4061), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4060)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4062) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4062), hAPP(hAPP(c_Power_Opower__class_Opower(_u4062), _u4063), _u4064)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4062), _u4063), _u4065)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4062), _u4063), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4064), _u4065))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4066) | ~class_Rings_Olinordered__idom(_u4066) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4066), hAPP(c_Int_Onumber__class_Onumber__of(_u4066), _u4067)), hAPP(c_Int_Onumber__class_Onumber__of(_u4066), _u4068))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4067), _u4068)) )).
% 28.96/29.17 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4066) | ~class_Rings_Olinordered__idom(_u4066) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4067), _u4068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4066), hAPP(c_Int_Onumber__class_Onumber__of(_u4066), _u4067)), hAPP(c_Int_Onumber__class_Onumber__of(_u4066), _u4068))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u4069) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4069), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4070), _u4071)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4069), hAPP(c_Int_Onumber__class_Onumber__of(_u4069), _u4070)), hAPP(c_Int_Onumber__class_Onumber__of(_u4069), _u4071))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4072) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4072), hAPP(c_Int_Onumber__class_Onumber__of(_u4072), _u4073)), hAPP(c_Int_Onumber__class_Onumber__of(_u4072), _u4074)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4072), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4073), _u4074))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4075), hAPP(c_Int_Onumber__class_Onumber__of(_u4075), _u4076)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4075), hAPP(c_Int_Onumber__class_Onumber__of(_u4075), _u4077)), _u4078)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4075), hAPP(c_Int_Onumber__class_Onumber__of(_u4075), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4076), _u4077))), _u4078)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u4079)) | 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), _u4079), _u4080))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u4081), _u4082), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4081, tc_HOL_Obool)), _u4083), hAPP(hAPP(c_Set_Oinsert(_u4081), _u4082), c_Orderings_Obot__class_Obot(tc_fun(_u4081, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u4081), _u4082), _u4083)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4084, tc_HOL_Obool)), _u4085), hAPP(hAPP(c_Set_Oinsert(_u4084), _u4086), _u4087)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4084, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4084, tc_HOL_Obool)), _u4085), hAPP(hAPP(c_Set_Oinsert(_u4084), _u4086), c_Orderings_Obot__class_Obot(tc_fun(_u4084, tc_HOL_Obool))))), _u4087)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4088, tc_HOL_Obool)), _u4089), hAPP(hAPP(c_Set_Oinsert(_u4088), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4088, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4088, tc_HOL_Obool)), _u4089), _u4091)), hAPP(hAPP(c_Set_Oinsert(_u4088), _u4090), c_Orderings_Obot__class_Obot(tc_fun(_u4088, tc_HOL_Obool))))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4092) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4092), hAPP(c_Int_Onumber__class_Onumber__of(_u4092), _u4093)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4092), hAPP(c_Int_Onumber__class_Onumber__of(_u4092), _u4094)), _u4095)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4092), hAPP(c_Int_Onumber__class_Onumber__of(_u4092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4093), _u4094))), _u4095)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u4096) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4096), hAPP(c_Int_Onumber__class_Onumber__of(_u4096), _u4097)), hAPP(c_Int_Onumber__class_Onumber__of(_u4096), _u4098)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4096), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4097), _u4098))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4099) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4100), _u4101)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4099), hAPP(c_Int_Onumber__class_Onumber__of(_u4099), _u4100)), hAPP(c_Int_Onumber__class_Onumber__of(_u4099), _u4101))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4102), _u4103)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4102) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u4104) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4104), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4105), _u4106)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4104), hAPP(c_Int_Onumber__class_Onumber__of(_u4104), _u4105)), hAPP(c_Int_Onumber__class_Onumber__of(_u4104), _u4106))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4107), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4108), _u4109)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4107), _u4108)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4107), _u4109))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u4110) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4110), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4111)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4110), hAPP(c_Int_Onumber__class_Onumber__of(_u4110), _u4111))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u4112) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4112), hAPP(c_Int_Onumber__class_Onumber__of(_u4112), _u4113)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4112), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4113))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u4114) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4114), _u4115) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4114), _u4115), c_Groups_Osgn__class_Osgn(_u4114, _u4115))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4116) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4116), c_Groups_Osgn__class_Osgn(_u4116, _u4117)), hAPP(c_Groups_Oabs__class_Oabs(_u4116), _u4117)) = _u4117) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u4118) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4118), c_Groups_Ozero__class_Ozero(_u4118)), _u4119)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(c_Groups_Oabs__class_Oabs(_u4118), _u4120)), _u4119) = hAPP(c_Groups_Oabs__class_Oabs(_u4118), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), _u4120), _u4119))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u4121) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), _u4122), _u4123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4122)), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), _u4122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), _u4123)) )).
% 28.96/29.17 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u4121) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), _u4122), _u4123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4122)), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), _u4122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4123), c_Groups_Ozero__class_Ozero(_u4121))) )).
% 28.96/29.17 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u4121) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), _u4122), _u4123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4122)), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), c_Groups_Ozero__class_Ozero(_u4121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), _u4123)) )).
% 28.96/29.17 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u4121) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), _u4122), _u4123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4122)), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), c_Groups_Ozero__class_Ozero(_u4121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4123), c_Groups_Ozero__class_Ozero(_u4121))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4124) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4124), hAPP(c_Groups_Oabs__class_Oabs(_u4124), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4124), _u4125), _u4126))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4124), hAPP(c_Groups_Oabs__class_Oabs(_u4124), _u4125)), hAPP(c_Groups_Oabs__class_Oabs(_u4124), _u4126)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4127) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4127), hAPP(c_Groups_Oabs__class_Oabs(_u4127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4127), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4127), _u4128), _u4129)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4127), _u4130), _u4131)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4127), hAPP(c_Groups_Oabs__class_Oabs(_u4127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4127), _u4128), _u4130))), hAPP(c_Groups_Oabs__class_Oabs(_u4127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4127), _u4129), _u4131))))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4132), _u4133), c_Groups_Ozero__class_Ozero(_u4132))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4132), _u4133) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4132), _u4133)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4134), hAPP(c_Groups_Ouminus__class_Ouminus(_u4134), hAPP(c_Groups_Oabs__class_Oabs(_u4134), _u4135))), c_Groups_Ozero__class_Ozero(_u4134))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u4136) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4136), _u4137), c_Groups_Ozero__class_Ozero(_u4136))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4136), _u4137) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4136), _u4137)) )).
% 28.96/29.17 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u4136) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4136), _u4137), c_Groups_Ozero__class_Ozero(_u4136))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4136), _u4137) = _u4137) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u4138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4138), _u4139), c_Groups_Ozero__class_Ozero(_u4138))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4138), _u4139) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4138), _u4139)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4141)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u4141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.17 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u4142 != 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), _u4142)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u4143) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4143), hAPP(c_Int_Onumber__class_Onumber__of(_u4143), _u4144)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4143), hAPP(c_Int_Onumber__class_Onumber__of(_u4143), _u4145)), _u4146)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4143), hAPP(c_Int_Onumber__class_Onumber__of(_u4143), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4144), _u4145))), _u4146)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4148), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4148) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4148)) )).
% 28.96/29.17 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4149), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4149) = _u4149) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4150) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4150), hAPP(c_Groups_Ouminus__class_Ouminus(_u4150), hAPP(c_Int_Onumber__class_Onumber__of(_u4150), _u4151))), _u4152) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4150), hAPP(c_Int_Onumber__class_Onumber__of(_u4150), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4151))), _u4152)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4153), _u4154))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4153))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4154)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4155) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4155), hAPP(c_Int_Onumber__class_Onumber__of(_u4155), _u4156)), hAPP(c_Int_Onumber__class_Onumber__of(_u4155), _u4157)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4155), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4156), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4157)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u4158) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4158), hAPP(c_Int_Onumber__class_Onumber__of(_u4158), _u4159)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4158), _u4160), hAPP(c_Int_Onumber__class_Onumber__of(_u4158), _u4161))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4158), hAPP(c_Int_Onumber__class_Onumber__of(_u4158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4159), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4161)))), _u4160)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4162), _u4163), _u4164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4162), c_Groups_Ozero__class_Ozero(_u4162)), _u4163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4162), hAPP(hAPP(c_Power_Opower__class_Opower(_u4162), _u4163), _u4165)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4162), _u4164), _u4165))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4166), c_Groups_Oone__class_Oone(_u4166)), _u4167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4166), c_Groups_Oone__class_Oone(_u4166)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4166), _u4167), _u4168))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4169), c_Groups_Oone__class_Oone(_u4169)), _u4170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4169), hAPP(hAPP(c_Power_Opower__class_Opower(_u4169), _u4170), _u4171)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4169), _u4170), _u4172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4171), _u4172)) )).
% 28.96/29.17 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4169), c_Groups_Oone__class_Oone(_u4169)), _u4170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4171), _u4172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4169), hAPP(hAPP(c_Power_Opower__class_Opower(_u4169), _u4170), _u4171)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4169), _u4170), _u4172))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4173), c_Groups_Oone__class_Oone(_u4173)), _u4174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4173), hAPP(hAPP(c_Power_Opower__class_Opower(_u4173), _u4174), _u4175)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4173), _u4174), _u4176))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4175), _u4176)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4178), _u4179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4177), c_Groups_Ozero__class_Ozero(_u4177)), _u4180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4177), _u4180), c_Groups_Oone__class_Oone(_u4177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4177), hAPP(hAPP(c_Power_Opower__class_Opower(_u4177), _u4180), _u4179)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4177), _u4180), _u4178))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4182), _u4183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4181), c_Groups_Ozero__class_Ozero(_u4181)), _u4184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4181), _u4184), c_Groups_Oone__class_Oone(_u4181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4181), hAPP(hAPP(c_Power_Opower__class_Opower(_u4181), _u4184), _u4183)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4181), _u4184), _u4182))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4185), c_Groups_Ozero__class_Ozero(_u4185)), _u4186)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4185), _u4186), c_Groups_Oone__class_Oone(_u4185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4185), hAPP(hAPP(c_Power_Opower__class_Opower(_u4185), _u4186), hAPP(c_Nat_OSuc, _u4187))), c_Groups_Oone__class_Oone(_u4185))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4188, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4188, tc_HOL_Obool)), _u4189), _u4190)), _u4190) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4188, tc_HOL_Obool)), _u4189), _u4190)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4191) = _u4191) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4194)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4196))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4194), _u4196)) )).
% 28.96/29.17 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4195), _u4197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4195)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4197))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4200)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4200), _u4202)) )).
% 28.96/29.17 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4201), _u4203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4201)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4203))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4204)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4205)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4204), _u4205))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4206)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4207)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4206), _u4207))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4208)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4208))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 28.96/29.17 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))), _u4209) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4212), _u4214) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4214 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4212 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4213), _u4215) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4215 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4213), _u4215) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4213 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u4216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4216), _u4217)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4216), _u4218))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4217), _u4218)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4221), _u4223))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4221)) | ( _u4223 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 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), _u4222), _u4224))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4222)) )).
% 28.96/29.17 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), _u4222), _u4224))) | ( _u4224 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4225) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u4225)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 28.96/29.17 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))), _u4226)) | 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), _u4226), _u4227))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4228)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4228)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4229) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4229))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4230)), _u4231) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4230), _u4231))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__power ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4232), _u4233)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4232)), _u4233)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4234)), _u4235) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4234), _u4235))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4236)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4237)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4236), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4237)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__eq__if-1, axiom, ( ( _u4240 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4242), _u4240) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_power__eq__if-2, axiom, ( ( _u4241 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4243), _u4241) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4243), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4243), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4241), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4246) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4248)) | ( _u4246 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4248))) )).
% 28.96/29.17 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4246) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4248)) | 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), _u4248))) )).
% 28.96/29.17 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u4247 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4249))) | ~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), _u4249))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4247) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4249)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u4250)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4250), _u4251)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4250)), _u4251)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 28.96/29.17 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)), _u4252)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4252)), _u4253) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4252), _u4253))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4254) | ( _u4255 = c_Groups_Ozero__class_Ozero(_u4254)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4254), _u4255), _u4256) != c_Groups_Ozero__class_Ozero(_u4254)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u4257) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4257), hAPP(hAPP(c_Power_Opower__class_Opower(_u4257), _u4258), _u4259)), _u4258) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4257), _u4258), hAPP(hAPP(c_Power_Opower__class_Opower(_u4257), _u4258), _u4259))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4260) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4260), _u4261), _u4262)), _u4263) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4260), hAPP(hAPP(c_Power_Opower__class_Opower(_u4260), _u4261), _u4263)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4260), _u4262), _u4263))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__one ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u4264) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4264), c_Groups_Oone__class_Oone(_u4264)), _u4265) = c_Groups_Oone__class_Oone(_u4264)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u4266) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4266), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4267), _u4268)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4266), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4266), _u4267)), _u4268)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u4269) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), _u4270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4271), _u4272)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), _u4270), _u4271)), _u4272)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4273)) = 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), _u4273)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4274) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4274), hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), _u4275), _u4276)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), hAPP(c_Groups_Oabs__class_Oabs(_u4274), _u4275)), _u4276)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u4277) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4277), _u4278), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4278) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4279), c_Groups_Ozero__class_Ozero(_u4279)), _u4280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4279), c_Groups_Ozero__class_Ozero(_u4279)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4279), _u4280), _u4281))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4282), _u4283), _u4284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4282), c_Groups_Ozero__class_Ozero(_u4282)), _u4283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4282), hAPP(hAPP(c_Power_Opower__class_Opower(_u4282), _u4283), _u4285)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4282), _u4284), _u4285))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4286), c_Groups_Ozero__class_Ozero(_u4286)), _u4287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4286), c_Groups_Ozero__class_Ozero(_u4286)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4286), _u4287), _u4288))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u4289) | ~class_Rings_Omult__zero(_u4289) | ~class_Rings_Ono__zero__divisors(_u4289) | ~class_Rings_Ozero__neq__one(_u4289) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4290), _u4291) != c_Groups_Ozero__class_Ozero(_u4289)) | ( _u4290 = c_Groups_Ozero__class_Ozero(_u4289)) )).
% 28.96/29.17 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u4289) | ~class_Rings_Omult__zero(_u4289) | ~class_Rings_Ono__zero__divisors(_u4289) | ~class_Rings_Ozero__neq__one(_u4289) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4290), _u4291) != c_Groups_Ozero__class_Ozero(_u4289)) | ( _u4291 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u4289) | ~class_Rings_Omult__zero(_u4289) | ~class_Rings_Ono__zero__divisors(_u4289) | ~class_Rings_Ozero__neq__one(_u4289) | ( _u4290 != c_Groups_Ozero__class_Ozero(_u4289)) | ( _u4291 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4290), _u4291) = c_Groups_Ozero__class_Ozero(_u4289)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4292), c_Groups_Oone__class_Oone(_u4292)), _u4293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4292), c_Groups_Oone__class_Oone(_u4292)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4292), _u4293), _u4294))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u4295) | ~class_Rings_Osemiring__0(_u4295) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4295), c_Groups_Ozero__class_Ozero(_u4295)), hAPP(c_Nat_OSuc, _u4296)) = c_Groups_Ozero__class_Ozero(_u4295)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4297), c_Groups_Oone__class_Oone(_u4297)), _u4298)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4297), _u4298), _u4299) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4297), _u4298), _u4300)) | ( _u4299 = _u4300) )).
% 28.96/29.17 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4297), c_Groups_Oone__class_Oone(_u4297)), _u4298)) | ( _u4299 != _u4300) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4297), _u4298), _u4299) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4297), _u4298), _u4300)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u4301) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4301), _u4302), hAPP(c_Nat_OSuc, _u4303)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4301), _u4302), hAPP(hAPP(c_Power_Opower__class_Opower(_u4301), _u4302), _u4303))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u4304) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4304), _u4305), hAPP(c_Nat_OSuc, _u4306)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4304), hAPP(hAPP(c_Power_Opower__class_Opower(_u4304), _u4305), _u4306)), _u4305)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u4307) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4307), _u4308), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4307)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__add ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u4309) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4311), _u4312)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), _u4311)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), _u4312))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u4313) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4313), hAPP(hAPP(c_Power_Opower__class_Opower(_u4313), hAPP(c_Groups_Ouminus__class_Ouminus(_u4313), _u4314)), _u4315)) = hAPP(c_Groups_Oabs__class_Oabs(_u4313), hAPP(hAPP(c_Power_Opower__class_Opower(_u4313), _u4314), _u4315))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4316), hAPP(hAPP(c_Power_Opower__class_Opower(_u4316), _u4317), _u4318)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4316), _u4319), _u4318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4316), c_Groups_Ozero__class_Ozero(_u4316)), _u4319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4316), _u4317), _u4319)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4320), hAPP(hAPP(c_Power_Opower__class_Opower(_u4320), _u4321), hAPP(c_Nat_OSuc, _u4322))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4320), _u4323), hAPP(c_Nat_OSuc, _u4322)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4320), c_Groups_Ozero__class_Ozero(_u4320)), _u4323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4320), _u4321), _u4323)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4324) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4324), _u4325), hAPP(c_Nat_OSuc, _u4326)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4324), _u4327), hAPP(c_Nat_OSuc, _u4326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4324), c_Groups_Ozero__class_Ozero(_u4324)), _u4325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4324), c_Groups_Ozero__class_Ozero(_u4324)), _u4327)) | ( _u4325 = _u4327) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4328), c_Groups_Oone__class_Oone(_u4328)), _u4329)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4328), hAPP(hAPP(c_Power_Opower__class_Opower(_u4328), _u4329), _u4330)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4328), _u4329), hAPP(hAPP(c_Power_Opower__class_Opower(_u4328), _u4329), _u4330)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4331), c_Groups_Oone__class_Oone(_u4331)), _u4332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4331), c_Groups_Oone__class_Oone(_u4331)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4331), _u4332), hAPP(hAPP(c_Power_Opower__class_Opower(_u4331), _u4332), _u4333)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u4334) | ~class_Rings_Osemiring__0(_u4334) | ( _u4335 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4334), c_Groups_Ozero__class_Ozero(_u4334)), _u4335) = c_Groups_Oone__class_Oone(_u4334)) )).
% 28.96/29.17 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u4334) | ~class_Rings_Osemiring__0(_u4334) | ( _u4335 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4334), c_Groups_Ozero__class_Ozero(_u4334)), _u4335) = c_Groups_Ozero__class_Ozero(_u4334)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4336), c_Groups_Oone__class_Oone(_u4336)), _u4337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4336), c_Groups_Oone__class_Oone(_u4336)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4336), _u4337), hAPP(c_Nat_OSuc, _u4338)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4340), _u4341)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4339), c_Groups_Oone__class_Oone(_u4339)), _u4342)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4339), hAPP(hAPP(c_Power_Opower__class_Opower(_u4339), _u4342), _u4340)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4339), _u4342), _u4341))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4343), c_Groups_Oone__class_Oone(_u4343)), _u4344)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4343), hAPP(hAPP(c_Power_Opower__class_Opower(_u4343), _u4344), _u4345)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4343), _u4344), _u4346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4345), _u4346)) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4347), c_Groups_Oone__class_Oone(_u4347)), _u4348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4347), hAPP(hAPP(c_Power_Opower__class_Opower(_u4347), _u4348), _u4349)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4347), _u4348), _u4350))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4349), _u4350)) )).
% 28.96/29.17 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4347), c_Groups_Oone__class_Oone(_u4347)), _u4348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4349), _u4350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4347), hAPP(hAPP(c_Power_Opower__class_Opower(_u4347), _u4348), _u4349)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4347), _u4348), _u4350))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u4351) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4351), c_Groups_Ozero__class_Ozero(_u4351)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4351), hAPP(c_Groups_Oabs__class_Oabs(_u4351), _u4352)), _u4353))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4355), _u4356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4354), c_Groups_Oone__class_Oone(_u4354)), _u4357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4354), hAPP(hAPP(c_Power_Opower__class_Opower(_u4354), _u4357), _u4355)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4354), _u4357), _u4356))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u4358) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4358), hAPP(c_Groups_Ouminus__class_Ouminus(_u4358), _u4359)), _u4360) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4358), hAPP(hAPP(c_Power_Opower__class_Opower(_u4358), hAPP(c_Groups_Ouminus__class_Ouminus(_u4358), c_Groups_Oone__class_Oone(_u4358))), _u4360)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4358), _u4359), _u4360))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4361), c_Groups_Ozero__class_Ozero(_u4361)), _u4362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4361), _u4362), c_Groups_Oone__class_Oone(_u4361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4361), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4361), _u4362), hAPP(hAPP(c_Power_Opower__class_Opower(_u4361), _u4362), _u4363))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4361), _u4362), _u4363))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4364) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4364), _u4365), _u4366) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4364), _u4367), _u4366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4364), c_Groups_Ozero__class_Ozero(_u4364)), _u4365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4364), c_Groups_Ozero__class_Ozero(_u4364)), _u4367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4366)) | ( _u4365 = _u4367) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4369))) | ( 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), _u4369)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.17 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), _u4370))) | ( 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), _u4370)) = 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), _u4370)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u4371) | ( c_Power_Opower__class_Opower(_u4371) = c_Power_Opower_Opower(_u4371, c_Groups_Oone__class_Oone(_u4371), c_Groups_Otimes__class_Otimes(_u4371))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4374))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4374)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4376)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4375))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4377)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4377)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.17 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4380))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4380), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4382)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.17 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4381))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4383))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4383)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4381)) )).
% 28.96/29.17 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4381))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4383))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4383)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4383)))) )).
% 28.96/29.17
% 28.96/29.17 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 28.96/29.17 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), _u4386))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4386)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4388)) = 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), _u4388))) )).
% 28.96/29.17 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), _u4387))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4387)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4389)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4387)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4389)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4392))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4392)), _u4394) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4394)) )).
% 28.96/29.18 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4393))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4393)), _u4395) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4393)), _u4395))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u4396)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u4396) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4396), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4397))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u4398) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4398)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4400)) )).
% 28.96/29.18 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)), _u4401)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4401)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4403), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4404), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4404)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4405)) | ( hAPP(c_Int_Onat, _u4405) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4406)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u4406)) = _u4406) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u4407) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4407), hAPP(c_Int_Onumber__class_Onumber__of(_u4407), c_Int_OMin)), _u4408) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4407), _u4408)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u4409) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4409), _u4410), hAPP(c_Int_Onumber__class_Onumber__of(_u4409), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4409), _u4410)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u4411) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4411), c_Groups_Oone__class_Oone(_u4411)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4411), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u4412) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4412), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4412), c_Groups_Oone__class_Oone(_u4412))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u4413) | ~class_Rings_Olinordered__idom(_u4413) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4413), hAPP(c_Int_Onumber__class_Onumber__of(_u4413), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u4413)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4414, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4417), _u4419) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4417 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4417 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 28.96/29.18 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4417), _u4419) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4417 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4419 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 28.96/29.18 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4417), _u4419) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4419 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4417 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 28.96/29.18 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4417), _u4419) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4419 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4419 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 28.96/29.18 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4418), _u4420) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4418 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4420 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.18 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4418), _u4420) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4418 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u4420 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4421), _u4422) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4421 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4421 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4423, _u4424, _u4425), _u4426), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4424) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4427, _u4428, _u4429), _u4430), hAPP(c_Nat_OSuc, _u4431)) = hAPP(hAPP(_u4429, _u4430), hAPP(hAPP(c_Power_Opower_Opower(_u4427, _u4428, _u4429), _u4430), _u4431))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u4432) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4432), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4432), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4433), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4433)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 28.96/29.18 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), _u4434))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4434) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 28.96/29.18 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, _u4435))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u4436) | ~class_Rings_Olinordered__idom(_u4436) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4436), hAPP(hAPP(c_Power_Opower__class_Opower(_u4436), hAPP(c_Int_Onumber__class_Onumber__of(_u4436), c_Int_OMin)), _u4437)) = c_Groups_Oone__class_Oone(_u4436)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u4438)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u4438) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4441) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4443)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4443)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4441) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4443)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4441))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4443))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4441) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4441) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4443)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4441))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4443))) | ( _u4441 = _u4443) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444))) | ( _u4442 != _u4444) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444))) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4442 != _u4444) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442))) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444))) | ( _u4442 != _u4444) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444))) )).
% 28.96/29.18 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4442 != _u4444) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 28.96/29.18 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), _u4448))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4448)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4450)), _u4452)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4450)), _u4452)) )).
% 28.96/29.18 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), _u4449))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4451))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4449)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4451)), _u4453)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4449)), _u4453)) )).
% 28.96/29.18 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), _u4449))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4451))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4449)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4451)), _u4453)) = 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), _u4449), _u4451))), _u4453)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4455))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4455)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4456))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4456)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4456)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4457) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4458))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4457), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4458)) = c_Groups_Ozero__class_Ozero(_u4457)) )).
% 28.96/29.18 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4457) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4458))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4457), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4458)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4457), _u4458)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u4459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4459), _u4460)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4459), _u4460) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 28.96/29.18 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), _u4463))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4463)), _u4465)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4465)) )).
% 28.96/29.18 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), _u4464))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4464)), _u4466)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4464))), _u4466)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4468))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4468)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4469))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4469)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4469))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem78(_u4474, _u4473, _u4472)), _u4472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4473, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4474), hAPP(_u4473, _u4472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem79(_u4474, _u4473, _u4472)), _u4472)) )).
% 28.96/29.18 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem78(_u4474, _u4473, _u4472)), _u4472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4473, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4474), hAPP(_u4473, _u4472))) | ( hAPP(_u4473, skolem79(_u4474, _u4473, _u4472)) = _u4474) )).
% 28.96/29.18 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(_u4473, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem78(_u4474, _u4473, _u4472)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4473, skolem78(_u4474, _u4473, _u4472))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4473, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4474), hAPP(_u4473, _u4472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem79(_u4474, _u4473, _u4472)), _u4472)) )).
% 28.96/29.18 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(_u4473, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem78(_u4474, _u4473, _u4472)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4473, skolem78(_u4474, _u4473, _u4472))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4473, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4474), hAPP(_u4473, _u4472))) | ( hAPP(_u4473, skolem79(_u4474, _u4473, _u4472)) = _u4474) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4479, _u4478, _u4477)), _u4477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4478, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4479), hAPP(_u4478, _u4477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4479, _u4478, _u4477)), _u4477)) )).
% 28.96/29.18 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4479, _u4478, _u4477)), _u4477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4478, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4479), hAPP(_u4478, _u4477))) | ( hAPP(_u4478, skolem81(_u4479, _u4478, _u4477)) = _u4479) )).
% 28.96/29.18 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(_u4478, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4479, _u4478, _u4477)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4478, skolem80(_u4479, _u4478, _u4477))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4478, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4479), hAPP(_u4478, _u4477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4479, _u4478, _u4477)), _u4477)) )).
% 28.96/29.18 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(_u4478, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4479, _u4478, _u4477)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4478, skolem80(_u4479, _u4478, _u4477))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4478, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4479), hAPP(_u4478, _u4477))) | ( hAPP(_u4478, skolem81(_u4479, _u4478, _u4477)) = _u4479) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4488), _u4490))) | ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), _u4486), _u4490)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4488), _u4490))) | hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4490)) | ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4484, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4488), c_Orderings_Obot__class_Obot(tc_fun(_u4484, tc_HOL_Obool))))), _u4490)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4488), _u4490))) | hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4490)) | hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4484, tc_HOL_Obool)), _u4486), _u4490)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4491)) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))))), _u4491)) | ~hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4487)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))))), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) | ~hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4491)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))))), _u4491)) | ~hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4487)) )).
% 28.96/29.18 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))))), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4492) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4492), _u4493) != hAPP(c_Int_Onumber__class_Onumber__of(_u4492), _u4494)) | c_Int_Oiszero(_u4492, hAPP(c_Int_Onumber__class_Onumber__of(_u4492), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4493), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4494)))) )).
% 28.96/29.18 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4492) | ~c_Int_Oiszero(_u4492, hAPP(c_Int_Onumber__class_Onumber__of(_u4492), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4493), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4494)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4492), _u4493) = hAPP(c_Int_Onumber__class_Onumber__of(_u4492), _u4494)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4496)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4496) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4497) != 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(_u4497)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_equalityCE-1, axiom, ( ( _u4498 != _u4499) | hBOOL(hAPP(hAPP(c_member(_u4500), _u4501), _u4498)) | ~hBOOL(hAPP(hAPP(c_member(_u4500), _u4501), _u4499)) )).
% 28.96/29.18 cnf(fact_equalityCE-2, axiom, ( ( _u4498 != _u4499) | hBOOL(hAPP(hAPP(c_member(_u4500), _u4501), _u4499)) | ~hBOOL(hAPP(hAPP(c_member(_u4500), _u4501), _u4498)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4502), _u4503), c_Orderings_Obot__class_Obot(tc_fun(_u4502, tc_HOL_Obool)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insertE ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4504), _u4505), hAPP(hAPP(c_Set_Oinsert(_u4504), _u4506), _u4507))) | ( _u4505 = _u4506) | hBOOL(hAPP(hAPP(c_member(_u4504), _u4505), _u4507)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4508), _u4509), hAPP(hAPP(c_Set_Oinsert(_u4508), _u4511), _u4510))) | ~hBOOL(hAPP(hAPP(c_member(_u4508), _u4509), _u4510)) )).
% 28.96/29.18 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4508), _u4509), hAPP(hAPP(c_Set_Oinsert(_u4508), _u4511), _u4510))) | ( _u4509 != _u4511) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4512, tc_HOL_Obool)), _u4513), _u4514)) | ~hBOOL(hAPP(hAPP(c_member(_u4512), _u4515), _u4513)) | hBOOL(hAPP(hAPP(c_member(_u4512), _u4515), _u4514)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4516), _u4517), _u4518)) | hBOOL(hAPP(hAPP(c_member(_u4516), _u4517), _u4519)) | hBOOL(hAPP(hAPP(c_member(_u4516), _u4517), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4516, tc_HOL_Obool)), _u4518), _u4519))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4520), _u4521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4520, tc_HOL_Obool)), _u4522), _u4523))) | hBOOL(hAPP(hAPP(c_member(_u4520), _u4521), _u4522)) )).
% 28.96/29.18 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4520), _u4521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4520, tc_HOL_Obool)), _u4522), _u4523))) | ~hBOOL(hAPP(hAPP(c_member(_u4520), _u4521), _u4523)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4524), _u4525), _u4526)) | hBOOL(hAPP(hAPP(c_member(_u4524), _u4525), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4524, tc_HOL_Obool)), _u4526))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u4534, _u4532)) | ~hBOOL(hAPP(hAPP(c_member(_u4530), _u4532), _u4534)) )).
% 28.96/29.18 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u4535, _u4533)) | hBOOL(hAPP(hAPP(c_member(_u4531), _u4533), _u4535)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u4536 != _u4537) | ~hBOOL(hAPP(hAPP(c_member(_u4538), _u4539), _u4536)) | hBOOL(hAPP(hAPP(c_member(_u4538), _u4539), _u4537)) )).
% 28.96/29.18 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u4536 != _u4537) | ~hBOOL(hAPP(hAPP(c_member(_u4538), _u4539), _u4537)) | hBOOL(hAPP(hAPP(c_member(_u4538), _u4539), _u4536)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u4540 != _u4541) | ~hBOOL(hAPP(hAPP(c_member(_u4542), _u4540), _u4543)) | hBOOL(hAPP(hAPP(c_member(_u4542), _u4541), _u4543)) )).
% 28.96/29.18 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u4540 != _u4541) | ~hBOOL(hAPP(hAPP(c_member(_u4542), _u4541), _u4543)) | hBOOL(hAPP(hAPP(c_member(_u4542), _u4540), _u4543)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__mem__trans-1, axiom, ( ( _u4544 != _u4545) | ~hBOOL(hAPP(hAPP(c_member(_u4546), _u4545), _u4547)) | hBOOL(hAPP(hAPP(c_member(_u4546), _u4544), _u4547)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u4548)) = _u4548) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4553), skolem82(_u4555, _u4553)), _u4555)) | ( _u4555 = c_Orderings_Obot__class_Obot(tc_fun(_u4553, tc_HOL_Obool))) )).
% 28.96/29.18 cnf(fact_all__not__in__conv-2, axiom, ( ( _u4556 != c_Orderings_Obot__class_Obot(tc_fun(_u4554, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4554), _u4550), _u4556)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4561), _u4557), _u4563)) | ( _u4563 != c_Orderings_Obot__class_Obot(tc_fun(_u4561, tc_HOL_Obool))) )).
% 28.96/29.18 cnf(fact_ex__in__conv-2, axiom, ( ( _u4564 = c_Orderings_Obot__class_Obot(tc_fun(_u4562, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4562), skolem83(_u4564, _u4562)), _u4564)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4565), _u4566), c_Orderings_Obot__class_Obot(tc_fun(_u4565, tc_HOL_Obool)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_equals0D-1, axiom, ( ( _u4567 != c_Orderings_Obot__class_Obot(tc_fun(_u4568, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4568), _u4569), _u4567)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4570), _u4571), hAPP(hAPP(c_Set_Oinsert(_u4570), _u4571), _u4572))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4577), _u4579), hAPP(hAPP(c_Set_Oinsert(_u4577), _u4581), _u4583))) | ( _u4579 = _u4581) | hBOOL(hAPP(hAPP(c_member(_u4577), _u4579), _u4583)) )).
% 28.96/29.18 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4578), _u4580), hAPP(hAPP(c_Set_Oinsert(_u4578), _u4582), _u4584))) | ( _u4580 != _u4582) )).
% 28.96/29.18 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4578), _u4580), hAPP(hAPP(c_Set_Oinsert(_u4578), _u4582), _u4584))) | ~hBOOL(hAPP(hAPP(c_member(_u4578), _u4580), _u4584)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), _u4587)) | hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), _u4588)) | ( hAPP(hAPP(c_Set_Oinsert(_u4585), _u4586), _u4587) != hAPP(hAPP(c_Set_Oinsert(_u4585), _u4586), _u4588)) | ( _u4587 = _u4588) )).
% 28.96/29.18 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), _u4587)) | hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), _u4588)) | ( _u4587 != _u4588) | ( hAPP(hAPP(c_Set_Oinsert(_u4585), _u4586), _u4587) = hAPP(hAPP(c_Set_Oinsert(_u4585), _u4586), _u4588)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4589), _u4590), _u4591)) | hBOOL(hAPP(hAPP(c_member(_u4589), _u4590), hAPP(hAPP(c_Set_Oinsert(_u4589), _u4592), _u4591))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4593), _u4594), _u4595)) | ( hAPP(hAPP(c_Set_Oinsert(_u4593), _u4594), _u4595) = _u4595) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4596, tc_HOL_Obool)), _u4597), _u4598)) | ~hBOOL(hAPP(hAPP(c_member(_u4596), _u4599), _u4597)) | hBOOL(hAPP(hAPP(c_member(_u4596), _u4599), _u4598)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4600), _u4601), _u4602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4600, tc_HOL_Obool)), _u4602), _u4603)) | hBOOL(hAPP(hAPP(c_member(_u4600), _u4601), _u4603)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4604, tc_HOL_Obool)), _u4605), _u4606)) | ~hBOOL(hAPP(hAPP(c_member(_u4604), _u4607), _u4605)) | hBOOL(hAPP(hAPP(c_member(_u4604), _u4607), _u4606)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4612), _u4614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4612, tc_HOL_Obool)), _u4616), _u4618))) | hBOOL(hAPP(hAPP(c_member(_u4612), _u4614), _u4616)) )).
% 28.96/29.18 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4612), _u4614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4612, tc_HOL_Obool)), _u4616), _u4618))) | ~hBOOL(hAPP(hAPP(c_member(_u4612), _u4614), _u4618)) )).
% 28.96/29.18 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4613), _u4615), _u4617)) | hBOOL(hAPP(hAPP(c_member(_u4613), _u4615), _u4619)) | hBOOL(hAPP(hAPP(c_member(_u4613), _u4615), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4613, tc_HOL_Obool)), _u4617), _u4619))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4620), _u4621), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4620, tc_HOL_Obool)), _u4622), _u4623))) | hBOOL(hAPP(hAPP(c_member(_u4620), _u4621), _u4622)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4624), _u4625), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4624, tc_HOL_Obool)), _u4626), _u4627))) | ~hBOOL(hAPP(hAPP(c_member(_u4624), _u4625), _u4627)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4631), _u4633), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4631, tc_HOL_Obool)), _u4635))) | ~hBOOL(hAPP(hAPP(c_member(_u4631), _u4633), _u4635)) )).
% 28.96/29.18 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4632), _u4634), _u4636)) | hBOOL(hAPP(hAPP(c_member(_u4632), _u4634), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4632, tc_HOL_Obool)), _u4636))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4637), _u4638), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4637, tc_HOL_Obool)), _u4639))) | ~hBOOL(hAPP(hAPP(c_member(_u4637), _u4638), _u4639)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4640), _u4641), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4640, tc_HOL_Obool)), _u4642))) | ~hBOOL(hAPP(hAPP(c_member(_u4640), _u4641), _u4642)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4643, tc_HOL_Obool)), _u4644), _u4645)) | ~hBOOL(hAPP(hAPP(c_member(_u4643), _u4646), _u4644)) | hBOOL(hAPP(hAPP(c_member(_u4643), _u4646), _u4645)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u4647) | ~c_Int_Oiszero(_u4647, _u4648) | ( _u4648 = c_Groups_Ozero__class_Ozero(_u4647)) )).
% 28.96/29.18 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u4647) | ( _u4648 != c_Groups_Ozero__class_Ozero(_u4647)) | c_Int_Oiszero(_u4647, _u4648) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u4649) | c_Int_Oiszero(_u4649, c_Groups_Ozero__class_Ozero(_u4649)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u4650) | ~c_Int_Oiszero(_u4650, c_Groups_Oone__class_Oone(_u4650)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_singleton__iff-1, axiom, ( ( _u4656 = _u4658) | ~hBOOL(hAPP(hAPP(c_member(_u4654), _u4656), hAPP(hAPP(c_Set_Oinsert(_u4654), _u4658), c_Orderings_Obot__class_Obot(tc_fun(_u4654, tc_HOL_Obool))))) )).
% 28.96/29.18 cnf(fact_singleton__iff-2, axiom, ( ( _u4657 != _u4659) | hBOOL(hAPP(hAPP(c_member(_u4655), _u4657), hAPP(hAPP(c_Set_Oinsert(_u4655), _u4659), c_Orderings_Obot__class_Obot(tc_fun(_u4655, tc_HOL_Obool))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_singletonE-1, axiom, ( ( _u4661 = _u4662) | ~hBOOL(hAPP(hAPP(c_member(_u4660), _u4661), hAPP(hAPP(c_Set_Oinsert(_u4660), _u4662), c_Orderings_Obot__class_Obot(tc_fun(_u4660, tc_HOL_Obool))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4667, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4667), _u4669), _u4671)), _u4673)) | hBOOL(hAPP(hAPP(c_member(_u4667), _u4669), _u4673)) )).
% 28.96/29.18 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4667, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4667), _u4669), _u4671)), _u4673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4667, tc_HOL_Obool)), _u4671), _u4673)) )).
% 28.96/29.18 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4668), _u4670), _u4674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4668, tc_HOL_Obool)), _u4672), _u4674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4668, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4668), _u4670), _u4672)), _u4674)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4675), _u4676), _u4677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4675, tc_HOL_Obool)), _u4677), hAPP(hAPP(c_Set_Oinsert(_u4675), _u4676), _u4678))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4675, tc_HOL_Obool)), _u4677), _u4678)) )).
% 28.96/29.18 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4675), _u4676), _u4677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4675, tc_HOL_Obool)), _u4677), _u4678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4675, tc_HOL_Obool)), _u4677), hAPP(hAPP(c_Set_Oinsert(_u4675), _u4676), _u4678))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4679), _u4680), _u4681)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4679, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4679), _u4680), _u4682)), _u4681) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4679, tc_HOL_Obool)), _u4682), _u4681)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4687), _u4689), _u4691)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4687, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4687), _u4689), _u4693)), _u4691) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4687, tc_HOL_Obool)), _u4693), _u4691)) )).
% 28.96/29.18 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4688), _u4690), _u4692)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4688, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4688), _u4690), _u4694)), _u4692) = hAPP(hAPP(c_Set_Oinsert(_u4688), _u4690), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4688, tc_HOL_Obool)), _u4694), _u4692))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4697), _u4699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4697)), _u4699)) )).
% 28.96/29.18 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4698)), _u4700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4698), _u4700)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u4701) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4701), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u4702) = c_Int_Opred(_u4702)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4703), c_Int_OMin) = c_Int_Opred(_u4703)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4704), _u4705), _u4706)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4704, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4704), _u4705), _u4706)), hAPP(hAPP(c_Set_Oinsert(_u4704), _u4705), c_Orderings_Obot__class_Obot(tc_fun(_u4704, tc_HOL_Obool)))) = _u4706) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4707), _u4708), _u4709)) | ( hAPP(hAPP(c_Set_Oinsert(_u4707), _u4708), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4707, tc_HOL_Obool)), _u4709), hAPP(hAPP(c_Set_Oinsert(_u4707), _u4708), c_Orderings_Obot__class_Obot(tc_fun(_u4707, tc_HOL_Obool))))) = _u4709) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u4710) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4710), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4711), c_Int_OMin) = c_Int_Osucc(_u4711)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u4712) | ~c_Int_Oiszero(_u4712, hAPP(c_Int_Onumber__class_Onumber__of(_u4712), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4717, tc_HOL_Obool)), _u4719), hAPP(hAPP(c_Set_Oinsert(_u4717), _u4721), _u4723))) | ~hBOOL(hAPP(hAPP(c_member(_u4717), _u4721), _u4719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4717, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4717, tc_HOL_Obool)), _u4719), hAPP(hAPP(c_Set_Oinsert(_u4717), _u4721), c_Orderings_Obot__class_Obot(tc_fun(_u4717, tc_HOL_Obool))))), _u4723)) )).
% 28.96/29.18 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4717, tc_HOL_Obool)), _u4719), hAPP(hAPP(c_Set_Oinsert(_u4717), _u4721), _u4723))) | hBOOL(hAPP(hAPP(c_member(_u4717), _u4721), _u4719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4717, tc_HOL_Obool)), _u4719), _u4723)) )).
% 28.96/29.18 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), _u4724))) | hBOOL(hAPP(hAPP(c_member(_u4718), _u4722), _u4720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), _u4724)) )).
% 28.96/29.18 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), _u4724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), c_Orderings_Obot__class_Obot(tc_fun(_u4718, tc_HOL_Obool))))), _u4724)) | ~hBOOL(hAPP(hAPP(c_member(_u4718), _u4722), _u4720)) )).
% 28.96/29.18 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), _u4724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), c_Orderings_Obot__class_Obot(tc_fun(_u4718, tc_HOL_Obool))))), _u4724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), _u4724)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4725, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4725, tc_HOL_Obool)), _u4726), hAPP(hAPP(c_Set_Oinsert(_u4725), _u4727), c_Orderings_Obot__class_Obot(tc_fun(_u4725, tc_HOL_Obool))))), _u4728)) | ~hBOOL(hAPP(hAPP(c_member(_u4725), _u4727), _u4726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4725, tc_HOL_Obool)), _u4726), hAPP(hAPP(c_Set_Oinsert(_u4725), _u4727), _u4728))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u4729) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4729), c_Int_Osucc(_u4730)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4729), c_Groups_Oone__class_Oone(_u4729)), hAPP(c_Int_Onumber__class_Onumber__of(_u4729), _u4730))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u4731) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4731), c_Int_Opred(_u4732)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4731), hAPP(c_Groups_Ouminus__class_Ouminus(_u4731), c_Groups_Oone__class_Oone(_u4731))), hAPP(c_Int_Onumber__class_Onumber__of(_u4731), _u4732))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u4733) | ~hBOOL(hAPP(hAPP(c_member(_u4733), _u4734), c_Int_Oring__1__class_OInts(_u4733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4733), c_Groups_Oone__class_Oone(_u4733)), _u4734)), _u4734)), c_Groups_Ozero__class_Ozero(_u4733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4733), _u4734), c_Groups_Ozero__class_Ozero(_u4733))) )).
% 28.96/29.18 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u4733) | ~hBOOL(hAPP(hAPP(c_member(_u4733), _u4734), c_Int_Oring__1__class_OInts(_u4733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4733), _u4734), c_Groups_Ozero__class_Ozero(_u4733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4733), c_Groups_Oone__class_Oone(_u4733)), _u4734)), _u4734)), c_Groups_Ozero__class_Ozero(_u4733))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4736), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4736)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4737), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4737)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4737))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u4738) | ~hBOOL(hAPP(hAPP(c_member(_u4738), _u4739), c_Int_Oring__1__class_OInts(_u4738))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4738), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4738), c_Groups_Oone__class_Oone(_u4738)), _u4739)), _u4739) != c_Groups_Ozero__class_Ozero(_u4738)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4741), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4741)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4742), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4742)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4742))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4744), 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), _u4744)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4745), 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), _u4745)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4745))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4746) | ( c_Groups_Ozero__class_Ozero(_u4746) != hAPP(c_Int_Onumber__class_Onumber__of(_u4746), _u4747)) | c_Int_Oiszero(_u4746, hAPP(c_Int_Onumber__class_Onumber__of(_u4746), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4747)))) )).
% 28.96/29.18 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4746) | ~c_Int_Oiszero(_u4746, hAPP(c_Int_Onumber__class_Onumber__of(_u4746), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4747)))) | ( c_Groups_Ozero__class_Ozero(_u4746) = hAPP(c_Int_Onumber__class_Onumber__of(_u4746), _u4747)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4748) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4748), _u4749) != c_Groups_Ozero__class_Ozero(_u4748)) | c_Int_Oiszero(_u4748, hAPP(c_Int_Onumber__class_Onumber__of(_u4748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4749), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 28.96/29.18 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4748) | ~c_Int_Oiszero(_u4748, hAPP(c_Int_Onumber__class_Onumber__of(_u4748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4749), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4748), _u4749) = c_Groups_Ozero__class_Ozero(_u4748)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4750) = _u4750) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4751), c_Int_OPls) = _u4751) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4752) = c_Int_OPls) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4753), c_Int_OPls) = _u4753) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u4754) | ( c_Groups_Ozero__class_Ozero(_u4754) = hAPP(c_Int_Onumber__class_Onumber__of(_u4754), c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u4755) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4755), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4755)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u4756) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4756), _u4757), hAPP(c_Int_Onumber__class_Onumber__of(_u4756), c_Int_OPls)) = _u4757) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u4758) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4758), hAPP(c_Int_Onumber__class_Onumber__of(_u4758), c_Int_OPls)), _u4759) = _u4759) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u4760) | c_Int_Oiszero(_u4760, hAPP(c_Int_Onumber__class_Onumber__of(_u4760), c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u4761) | hBOOL(hAPP(hAPP(c_member(_u4761), c_Groups_Ozero__class_Ozero(_u4761)), c_Int_Oring__1__class_OInts(_u4761))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u4762) | ~hBOOL(hAPP(hAPP(c_member(_u4762), _u4763), c_Int_Oring__1__class_OInts(_u4762))) | ~hBOOL(hAPP(hAPP(c_member(_u4762), _u4764), c_Int_Oring__1__class_OInts(_u4762))) | hBOOL(hAPP(hAPP(c_member(_u4762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4762), _u4763), _u4764)), c_Int_Oring__1__class_OInts(_u4762))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u4765) | ~hBOOL(hAPP(hAPP(c_member(_u4765), _u4766), c_Int_Oring__1__class_OInts(_u4765))) | ~hBOOL(hAPP(hAPP(c_member(_u4765), _u4767), c_Int_Oring__1__class_OInts(_u4765))) | hBOOL(hAPP(hAPP(c_member(_u4765), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4765), _u4766), _u4767)), c_Int_Oring__1__class_OInts(_u4765))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u4768) | ~hBOOL(hAPP(hAPP(c_member(_u4768), _u4769), c_Int_Oring__1__class_OInts(_u4768))) | ~hBOOL(hAPP(hAPP(c_member(_u4768), _u4770), c_Int_Oring__1__class_OInts(_u4768))) | hBOOL(hAPP(hAPP(c_member(_u4768), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4768), _u4769), _u4770)), c_Int_Oring__1__class_OInts(_u4768))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4771) | hBOOL(hAPP(hAPP(c_member(_u4771), hAPP(c_Int_Onumber__class_Onumber__of(_u4771), _u4772)), c_Int_Oring__1__class_OInts(_u4771))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u4773) | hBOOL(hAPP(hAPP(c_member(_u4773), c_Groups_Oone__class_Oone(_u4773)), c_Int_Oring__1__class_OInts(_u4773))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u4774) | ~hBOOL(hAPP(hAPP(c_member(_u4774), _u4775), c_Int_Oring__1__class_OInts(_u4774))) | hBOOL(hAPP(hAPP(c_member(_u4774), hAPP(c_Groups_Ouminus__class_Ouminus(_u4774), _u4775)), c_Int_Oring__1__class_OInts(_u4774))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u4776) | hBOOL(hAPP(hAPP(c_member(_u4776), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4776), _u4777)), c_Int_Oring__1__class_OInts(_u4776))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u4778) | ~hBOOL(hAPP(hAPP(c_member(_u4778), _u4779), c_Int_Oring__1__class_OInts(_u4778))) | hBOOL(hAPP(hAPP(c_member(_u4778), hAPP(hAPP(c_Power_Opower__class_Opower(_u4778), _u4779), _u4780)), c_Int_Oring__1__class_OInts(_u4778))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u4781) | hBOOL(hAPP(hAPP(c_member(_u4781), hAPP(c_Int_Oring__1__class_Oof__int(_u4781), _u4782)), c_Int_Oring__1__class_OInts(_u4781))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4784) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4784), c_Int_OPls)) )).
% 28.96/29.18 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4785), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4785) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u4787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4787), c_Int_OPls)) )).
% 28.96/29.18 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4788), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4788)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u4791)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4793))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4791), _u4793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4793)) )).
% 28.96/29.18 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), _u4791)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4793))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4791), _u4793)) )).
% 28.96/29.18 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), _u4792)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4792), _u4794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4794)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u4797)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4797), _u4799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4797), c_Int_OPls)) )).
% 28.96/29.18 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), _u4798)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4798), _u4800)) )).
% 28.96/29.18 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), _u4798)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4798), c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4801) | ~class_Rings_Olinordered__idom(_u4801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4801), c_Groups_Ozero__class_Ozero(_u4801)), hAPP(c_Int_Onumber__class_Onumber__of(_u4801), _u4802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4802)) )).
% 28.96/29.18 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4801) | ~class_Rings_Olinordered__idom(_u4801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4801), c_Groups_Ozero__class_Ozero(_u4801)), hAPP(c_Int_Onumber__class_Onumber__of(_u4801), _u4802))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4803) | ~class_Rings_Olinordered__idom(_u4803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4803), hAPP(c_Int_Onumber__class_Onumber__of(_u4803), _u4804)), c_Groups_Ozero__class_Ozero(_u4803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4804), c_Int_OPls)) )).
% 28.96/29.18 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4803) | ~class_Rings_Olinordered__idom(_u4803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4804), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4803), hAPP(c_Int_Onumber__class_Onumber__of(_u4803), _u4804)), c_Groups_Ozero__class_Ozero(_u4803))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4805) | ~class_Rings_Olinordered__idom(_u4805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4805), c_Groups_Ozero__class_Ozero(_u4805)), hAPP(c_Int_Onumber__class_Onumber__of(_u4805), _u4806))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4806)) )).
% 28.96/29.18 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4805) | ~class_Rings_Olinordered__idom(_u4805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4805), c_Groups_Ozero__class_Ozero(_u4805)), hAPP(c_Int_Onumber__class_Onumber__of(_u4805), _u4806))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4807) | ~class_Rings_Olinordered__idom(_u4807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4807), hAPP(c_Int_Onumber__class_Onumber__of(_u4807), _u4808)), c_Groups_Ozero__class_Ozero(_u4807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4808), c_Int_OPls)) )).
% 28.96/29.18 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4807) | ~class_Rings_Olinordered__idom(_u4807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4808), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4807), hAPP(c_Int_Onumber__class_Onumber__of(_u4807), _u4808)), c_Groups_Ozero__class_Ozero(_u4807))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u4810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4810)) )).
% 28.96/29.18 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4811)) | 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), _u4811))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4814), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4814)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4816)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4816)) )).
% 28.96/29.18 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4817), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4815)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4817)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4815)) )).
% 28.96/29.18 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4817), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4815)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4817)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4815), _u4817))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u4818) | ~hBOOL(hAPP(hAPP(c_member(_u4818), _u4819), c_Int_Oring__1__class_OInts(_u4818))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4818), _u4819), _u4819) != c_Groups_Ozero__class_Ozero(_u4818)) | ( _u4819 = c_Groups_Ozero__class_Ozero(_u4818)) )).
% 28.96/29.18 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u4818) | ~hBOOL(hAPP(hAPP(c_member(_u4818), _u4819), c_Int_Oring__1__class_OInts(_u4818))) | ( _u4819 != c_Groups_Ozero__class_Ozero(_u4818)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4818), _u4819), _u4819) = c_Groups_Ozero__class_Ozero(_u4818)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4822), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4822)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4824)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4823), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4823)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4825)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4823), _u4825))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4829), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4829)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4831)), _u4833)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4830), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4830)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4832)), _u4834)) = 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), _u4830), _u4832))), _u4834)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4835)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4836)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4835)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4836), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4835)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4838)) | hBOOL(hAPP(hAPP(c_member(_u4837), hAPP(c_Int_Onumber__class_Onumber__of(_u4837), _u4838)), c_Nat_Osemiring__1__class_ONats(_u4837))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4839) | ( c_Groups_Oone__class_Oone(_u4839) != hAPP(c_Int_Onumber__class_Onumber__of(_u4839), _u4840)) | c_Int_Oiszero(_u4839, hAPP(c_Int_Onumber__class_Onumber__of(_u4839), 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), _u4840)))) )).
% 28.96/29.18 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4839) | ~c_Int_Oiszero(_u4839, hAPP(c_Int_Onumber__class_Onumber__of(_u4839), 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), _u4840)))) | ( c_Groups_Oone__class_Oone(_u4839) = hAPP(c_Int_Onumber__class_Onumber__of(_u4839), _u4840)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4841) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4841), _u4842) != c_Groups_Oone__class_Oone(_u4841)) | c_Int_Oiszero(_u4841, hAPP(c_Int_Onumber__class_Onumber__of(_u4841), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4842), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4841) | ~c_Int_Oiszero(_u4841, hAPP(c_Int_Onumber__class_Onumber__of(_u4841), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4842), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4841), _u4842) = c_Groups_Oone__class_Oone(_u4841)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4843) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4843), c_Groups_Oone__class_Oone(_u4843)), hAPP(c_Int_Onumber__class_Onumber__of(_u4843), _u4844)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4843), 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), _u4844)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4845) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4845), hAPP(c_Int_Onumber__class_Onumber__of(_u4845), _u4846)), c_Groups_Oone__class_Oone(_u4845)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4845), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4846), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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, _u4847)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4848)) = 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)))), _u4847)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4848))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u4851) != c_Int_OBit1(_u4853)) | ( _u4851 = _u4853) )).
% 28.96/29.18 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u4852 != _u4854) | ( c_Int_OBit1(_u4852) = c_Int_OBit1(_u4854)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4857)), c_Int_OBit1(_u4859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4857), _u4859)) )).
% 28.96/29.18 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4858), _u4860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4858)), c_Int_OBit1(_u4860))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4863)), c_Int_OBit1(_u4865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4863), _u4865)) )).
% 28.96/29.18 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4864), _u4866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4864)), c_Int_OBit1(_u4866))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4869)), c_Int_OBit1(_u4871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4869), _u4871)) )).
% 28.96/29.18 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4870), _u4872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4870)), c_Int_OBit1(_u4872))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4875)), c_Int_OBit1(_u4877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4875), _u4877)) )).
% 28.96/29.18 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4876), _u4878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4876)), c_Int_OBit1(_u4878))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u4879)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u4880) != c_Int_OPls) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u4882)) | ( c_Int_OMin = _u4882) )).
% 28.96/29.18 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u4883) | ( c_Int_OMin = c_Int_OBit1(_u4883)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u4885) != c_Int_OMin) | ( _u4885 = c_Int_OMin) )).
% 28.96/29.18 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u4886 != c_Int_OMin) | ( c_Int_OBit1(_u4886) = c_Int_OMin) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4888)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4888), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4889), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4889)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4891)) )).
% 28.96/29.18 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4892))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4894)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4894), c_Int_OPls)) )).
% 28.96/29.18 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4895), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4895)), c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u4896) = 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)), _u4896)), _u4896)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4898)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4898), c_Int_OMin)) )).
% 28.96/29.18 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4899), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4899)), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4901))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4901)) )).
% 28.96/29.18 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4902))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4904))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4904)) )).
% 28.96/29.18 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4905))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4907)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4907), c_Int_OMin)) )).
% 28.96/29.18 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4908), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4908)), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4910)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4910))) )).
% 28.96/29.18 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4911))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4911)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u4912)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4912)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u4913) | ~class_Int_Oring__char__0(_u4913) | ~c_Int_Oiszero(_u4913, hAPP(c_Int_Onumber__class_Onumber__of(_u4913), c_Int_OBit1(_u4914))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u4915) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4915), c_Int_OBit1(_u4916)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4915), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4915), c_Groups_Oone__class_Oone(_u4915)), hAPP(c_Int_Onumber__class_Onumber__of(_u4915), _u4916))), hAPP(c_Int_Onumber__class_Onumber__of(_u4915), _u4916))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u4917) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4917), _u4918), hAPP(c_Int_Onumber__class_Onumber__of(_u4917), c_Int_OBit1(c_Int_OPls))) = _u4918) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u4919) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4919), hAPP(c_Int_Onumber__class_Onumber__of(_u4919), c_Int_OBit1(c_Int_OPls))), _u4920) = _u4920) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u4921) | ( c_Groups_Oone__class_Oone(_u4921) = hAPP(c_Int_Onumber__class_Onumber__of(_u4921), c_Int_OBit1(c_Int_OPls))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u4922) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4922), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u4922)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4924)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4924), c_Int_OPls)) )).
% 28.96/29.18 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4925), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4925)), c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4927))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4927)) )).
% 28.96/29.18 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4928))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4929)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4929))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u4930) | ~c_Int_Oiszero(_u4930, hAPP(c_Int_Onumber__class_Onumber__of(_u4930), c_Int_OBit1(c_Int_OPls))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u4931) | hBOOL(hAPP(hAPP(c_member(_u4931), c_Groups_Ozero__class_Ozero(_u4931)), c_Nat_Osemiring__1__class_ONats(_u4931))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u4932) | ~hBOOL(hAPP(hAPP(c_member(_u4932), _u4933), c_Nat_Osemiring__1__class_ONats(_u4932))) | ~hBOOL(hAPP(hAPP(c_member(_u4932), _u4934), c_Nat_Osemiring__1__class_ONats(_u4932))) | hBOOL(hAPP(hAPP(c_member(_u4932), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4932), _u4933), _u4934)), c_Nat_Osemiring__1__class_ONats(_u4932))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u4935) | ~hBOOL(hAPP(hAPP(c_member(_u4935), _u4936), c_Nat_Osemiring__1__class_ONats(_u4935))) | ~hBOOL(hAPP(hAPP(c_member(_u4935), _u4937), c_Nat_Osemiring__1__class_ONats(_u4935))) | hBOOL(hAPP(hAPP(c_member(_u4935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4935), _u4936), _u4937)), c_Nat_Osemiring__1__class_ONats(_u4935))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u4938) | hBOOL(hAPP(hAPP(c_member(_u4938), c_Groups_Oone__class_Oone(_u4938)), c_Nat_Osemiring__1__class_ONats(_u4938))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u4939) | hBOOL(hAPP(hAPP(c_member(_u4939), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4939), _u4940)), c_Nat_Osemiring__1__class_ONats(_u4939))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 28.96/29.18 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u4941) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4941), _u4942), 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(_u4941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4941), _u4942), _u4942)), _u4942)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 28.96/29.18 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4943))) = 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)))), _u4943)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4944) | ~class_Rings_Olinordered__idom(_u4944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4944), c_Groups_Oone__class_Oone(_u4944)), hAPP(c_Int_Onumber__class_Onumber__of(_u4944), _u4945))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4945)) )).
% 28.96/29.18 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4944) | ~class_Rings_Olinordered__idom(_u4944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4944), c_Groups_Oone__class_Oone(_u4944)), hAPP(c_Int_Onumber__class_Onumber__of(_u4944), _u4945))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4946) | ~class_Rings_Olinordered__idom(_u4946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4946), hAPP(c_Int_Onumber__class_Onumber__of(_u4946), _u4947)), c_Groups_Oone__class_Oone(_u4946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4947), c_Int_OBit1(c_Int_OPls))) )).
% 28.96/29.18 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4946) | ~class_Rings_Olinordered__idom(_u4946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4947), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4946), hAPP(c_Int_Onumber__class_Onumber__of(_u4946), _u4947)), c_Groups_Oone__class_Oone(_u4946))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u4948) | ~class_Rings_Olinordered__idom(_u4948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4948), hAPP(c_Int_Onumber__class_Onumber__of(_u4948), _u4949)), c_Groups_Oone__class_Oone(_u4948))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4949), c_Int_OBit1(c_Int_OPls))) )).
% 28.96/29.18 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u4948) | ~class_Rings_Olinordered__idom(_u4948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4949), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4948), hAPP(c_Int_Onumber__class_Onumber__of(_u4948), _u4949)), c_Groups_Oone__class_Oone(_u4948))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4950) | ~class_Rings_Olinordered__idom(_u4950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4950), c_Groups_Oone__class_Oone(_u4950)), hAPP(c_Int_Onumber__class_Onumber__of(_u4950), _u4951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4951)) )).
% 28.96/29.18 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u4950) | ~class_Rings_Olinordered__idom(_u4950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4950), c_Groups_Oone__class_Oone(_u4950)), hAPP(c_Int_Onumber__class_Onumber__of(_u4950), _u4951))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u4952) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4952), c_Groups_Oone__class_Oone(_u4952)), hAPP(c_Int_Onumber__class_Onumber__of(_u4952), _u4953)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4952), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4953))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4954) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4954), hAPP(c_Int_Onumber__class_Onumber__of(_u4954), _u4955)), c_Groups_Oone__class_Oone(_u4954)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4954), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4955), c_Int_OBit1(c_Int_OPls)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u4956)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4957)), _u4956) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4957), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4956), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4958, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4959)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4958, 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)))), _u4959))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 28.96/29.18 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, _u4960))), _u4961) = 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)))), _u4960), _u4961)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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, _u4962))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4963)) = 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)))), _u4962), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4963))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4964), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4965)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4964), 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)))), _u4965))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 28.96/29.18 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, _u4966)))), _u4967) = 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)))), _u4966)), _u4967)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4968), 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)))), _u4969)), 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)))), _u4968)) = 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), _u4969), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4968))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 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), _u4972))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4974)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4972))) = 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), _u4974), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4972)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.18 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), _u4973))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4975)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4973))) = 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), _u4975)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4973)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4976), 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)))), _u4977))), 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)))), _u4976)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4977), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4976)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u4978)) | ( 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)))), _u4979))), 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)))), _u4978)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4979), _u4978)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u4980)) | ( 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)))), _u4981)), 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)))), _u4980)) = 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, _u4981, _u4980)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u4982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4983)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4982), 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)))), _u4983))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4982), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4982), hAPP(c_Int_Onat, _u4983))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4982), hAPP(c_Int_Onat, _u4983)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u4986) != c_Int_OBit0(_u4988)) | ( _u4986 = _u4988) )).
% 28.96/29.18 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u4987 != _u4989) | ( c_Int_OBit0(_u4987) = c_Int_OBit0(_u4989)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u4992)), c_Int_OBit0(_u4994))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4992), _u4994)) )).
% 28.96/29.18 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4993), _u4995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4993)), c_Int_OBit0(_u4995))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4998)), c_Int_OBit0(_u5000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4998), _u5000)) )).
% 28.96/29.18 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4999), _u5001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4999)), c_Int_OBit0(_u5001))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5004)), c_Int_OBit0(_u5006))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5004), _u5006)) )).
% 28.96/29.18 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5005), _u5007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5005)), c_Int_OBit0(_u5007))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5010)), c_Int_OBit0(_u5012))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5010), _u5012)) )).
% 28.96/29.18 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5011), _u5013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5011)), c_Int_OBit0(_u5013))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u5015) != c_Int_OPls) | ( _u5015 = c_Int_OPls) )).
% 28.96/29.18 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u5016 != c_Int_OPls) | ( c_Int_OBit0(_u5016) = c_Int_OPls) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u5018)) | ( c_Int_OPls = _u5018) )).
% 28.96/29.18 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u5019) | ( c_Int_OPls = c_Int_OBit0(_u5019)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u5020) != c_Int_OBit0(_u5021)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u5022) != c_Int_OBit1(_u5023)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u5024) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5024), _u5024)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5025)), c_Int_OBit0(_u5026)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5025), _u5026))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u5027)), _u5028) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5027), _u5028))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5029)), c_Int_OBit0(_u5030)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5029), _u5030))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u5031)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5031))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u5032) != c_Int_OMin) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u5033)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5035)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5035), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5036), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5036)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5038))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5038)) )).
% 28.96/29.18 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5039))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5041)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5041), c_Int_OPls)) )).
% 28.96/29.18 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5042), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5042)), c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5045)), c_Int_OBit1(_u5047))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5045), _u5047)) )).
% 28.96/29.18 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5046), _u5048)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5046)), c_Int_OBit1(_u5048))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5051)), c_Int_OBit1(_u5053))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5051), _u5053)) )).
% 28.96/29.18 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5052), _u5054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5052)), c_Int_OBit1(_u5054))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5056)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5056), c_Int_OPls)) )).
% 28.96/29.18 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5057), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5057)), c_Int_OPls)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5059)) )).
% 28.96/29.18 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5060))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5063)), c_Int_OBit0(_u5065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5063), _u5065)) )).
% 28.96/29.18 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5064), _u5066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5064)), c_Int_OBit0(_u5066))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5069)), c_Int_OBit0(_u5071))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5069), _u5071)) )).
% 28.96/29.18 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5070), _u5072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5070)), c_Int_OBit0(_u5072))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5073)), c_Int_OBit0(_u5074)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5073), _u5074))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5075)), c_Int_OBit1(_u5076)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5075), _u5076))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5077)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u5077))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5078)), c_Int_OBit0(_u5079)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5078), _u5079))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5080)), c_Int_OBit1(_u5081)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5080), _u5081))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5083)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5083), c_Int_OMin)) )).
% 28.96/29.18 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5084), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5084)), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5086)) )).
% 28.96/29.18 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5087)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5087))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5088))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5089))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5088)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5089))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5091)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5091))) )).
% 28.96/29.18 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5092))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5092)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u5093)) = c_Int_OBit0(_u5093)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u5094)) = c_Int_OBit1(c_Int_Opred(_u5094))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5095) | ~class_Int_Oring__char__0(_u5095) | ~c_Int_Oiszero(_u5095, hAPP(c_Int_Onumber__class_Onumber__of(_u5095), c_Int_OBit0(_u5096))) | c_Int_Oiszero(_u5095, hAPP(c_Int_Onumber__class_Onumber__of(_u5095), _u5096)) )).
% 28.96/29.18 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u5095) | ~class_Int_Oring__char__0(_u5095) | ~c_Int_Oiszero(_u5095, hAPP(c_Int_Onumber__class_Onumber__of(_u5095), _u5096)) | c_Int_Oiszero(_u5095, hAPP(c_Int_Onumber__class_Onumber__of(_u5095), c_Int_OBit0(_u5096))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u5097)) = c_Int_OBit1(_u5097)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u5098)) = c_Int_OBit0(c_Int_Osucc(_u5098))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5099) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5099), c_Int_OBit0(_u5100)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5099), c_Groups_Ozero__class_Ozero(_u5099)), hAPP(c_Int_Onumber__class_Onumber__of(_u5099), _u5100))), hAPP(c_Int_Onumber__class_Onumber__of(_u5099), _u5100))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5103)), c_Int_OBit1(_u5105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5103), _u5105)) )).
% 28.96/29.18 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5104), _u5106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5104)), c_Int_OBit1(_u5106))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5109)), c_Int_OBit1(_u5111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5109), _u5111)) )).
% 28.96/29.18 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5110), _u5112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5110)), c_Int_OBit1(_u5112))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5115)), c_Int_OBit0(_u5117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5115), _u5117)) )).
% 28.96/29.18 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5116), _u5118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5116)), c_Int_OBit0(_u5118))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5121)), c_Int_OBit0(_u5123))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5121), _u5123)) )).
% 28.96/29.18 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5122), _u5124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5122)), c_Int_OBit0(_u5124))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u5125)), _u5126) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5125), _u5126))), _u5126)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5128))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5128)) )).
% 28.96/29.18 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5129)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5129))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5131)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5131), c_Int_OMin)) )).
% 28.96/29.18 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5132), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5132)), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5133)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5133))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5134)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5134))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5135)), c_Int_OBit1(_u5136)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u5135)), _u5136))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5137)), c_Int_OBit1(_u5138)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5137), c_Int_Osucc(_u5138)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5139) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5139), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), c_Groups_Oone__class_Oone(_u5139)), c_Groups_Oone__class_Oone(_u5139))), hAPP(c_Int_Onumber__class_Onumber__of(_u5139), _u5140)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5139), c_Int_OBit0(_u5140))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5141))) | 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(_u5141)))) )).
% 28.96/29.18 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), _u5141))) | 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(_u5141)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u5142) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5142), hAPP(c_Int_Onumber__class_Onumber__of(_u5142), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5143) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5142), _u5143), _u5143)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u5144) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5144), _u5145), hAPP(c_Int_Onumber__class_Onumber__of(_u5144), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5144), _u5145), _u5145)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u5146) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5146), c_Groups_Oone__class_Oone(_u5146)), c_Groups_Oone__class_Oone(_u5146)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5146), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5147) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5147), _u5148), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u5147)) | ( _u5148 = c_Groups_Ozero__class_Ozero(_u5147)) )).
% 28.96/29.18 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5147) | ( _u5148 != c_Groups_Ozero__class_Ozero(_u5147)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5147), _u5148), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5147)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u5149) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5149), c_Groups_Ozero__class_Ozero(_u5149)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5149)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 28.96/29.18 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 28.96/29.18 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5150) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5150), _u5151), _u5151) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5150), _u5151), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u5152) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5152), _u5153), 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(_u5152), _u5153), _u5153)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 28.96/29.18 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 28.96/29.18 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)))), _u5154) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5154))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5155), 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, _u5155))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u5156) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5156), c_Groups_Oone__class_Oone(_u5156)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5156)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u5157) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5157), hAPP(c_Groups_Ouminus__class_Ouminus(_u5157), _u5158)), 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(_u5157), _u5158), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5159), 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), _u5159), _u5159)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 28.96/29.18 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)))), _u5160) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5160), _u5160)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u5161) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5161), _u5162), 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)))), _u5163)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5161), hAPP(hAPP(c_Power_Opower__class_Opower(_u5161), _u5162), _u5163)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u5164) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5164), hAPP(c_Groups_Oabs__class_Oabs(_u5164), _u5165)), 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(_u5164), _u5165), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5166) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5166), hAPP(hAPP(c_Power_Opower__class_Opower(_u5166), _u5167), 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(_u5166), _u5167), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 28.96/29.18 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5168)), 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, _u5168, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 28.96/29.18 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, _u5169))), 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), _u5169), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5170)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5171))) = 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), _u5170), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5171)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5172), _u5172)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u5172) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5173) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5173), _u5174), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5175), hAPP(hAPP(c_Power_Opower__class_Opower(_u5175), _u5176), 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(_u5175), _u5177), 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(_u5175), c_Groups_Ozero__class_Ozero(_u5175)), _u5177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5175), _u5176), _u5177)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5178) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5178), _u5179), 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(_u5178), _u5180), 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(_u5178), c_Groups_Ozero__class_Ozero(_u5178)), _u5179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5178), c_Groups_Ozero__class_Ozero(_u5178)), _u5180)) | ( _u5179 = _u5180) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u5181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5181), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u5182 != c_Groups_Ozero__class_Ozero(_u5181)) )).
% 28.96/29.18 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u5181) | ( _u5182 = c_Groups_Ozero__class_Ozero(_u5181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5181), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u5183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5183), hAPP(hAPP(c_Power_Opower__class_Opower(_u5183), _u5184), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u5183))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5185) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5185), hAPP(hAPP(c_Power_Opower__class_Opower(_u5185), _u5186), 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(_u5185), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5185)) | ( _u5186 = c_Groups_Ozero__class_Ozero(_u5185)) )).
% 28.96/29.18 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5185) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5185), hAPP(hAPP(c_Power_Opower__class_Opower(_u5185), _u5186), 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(_u5185), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5185)) | ( _u5187 = c_Groups_Ozero__class_Ozero(_u5185)) )).
% 28.96/29.18 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5185) | ( _u5186 != c_Groups_Ozero__class_Ozero(_u5185)) | ( _u5187 != c_Groups_Ozero__class_Ozero(_u5185)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5185), hAPP(hAPP(c_Power_Opower__class_Opower(_u5185), _u5186), 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(_u5185), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u5185)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u5188) | ~class_Int_Onumber(_u5188) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5188), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189)), 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(_u5188), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189)), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5190), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u5190 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5190 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 28.96/29.18 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), _u5192), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u5191)) | ( _u5192 = c_Groups_Oone__class_Oone(_u5191)) | ( _u5192 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5191), c_Groups_Oone__class_Oone(_u5191))) )).
% 28.96/29.18 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), _u5192), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5191)) | ( _u5192 != c_Groups_Oone__class_Oone(_u5191)) )).
% 28.96/29.18 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), _u5192), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5191)) | ( _u5192 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5191), c_Groups_Oone__class_Oone(_u5191))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5193) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5193), _u5194), 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)))), _u5195)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5193), hAPP(hAPP(c_Power_Opower__class_Opower(_u5193), _u5194), _u5195)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5193), _u5194), _u5195))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u5196) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5196), hAPP(c_Groups_Ouminus__class_Ouminus(_u5196), _u5197)), 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)))), _u5198)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5196), _u5197), 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)))), _u5198))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5199), hAPP(hAPP(c_Power_Opower__class_Opower(_u5199), _u5200), 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(_u5199), _u5201), 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(_u5199), c_Groups_Ozero__class_Ozero(_u5199)), _u5201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5199), _u5200), _u5201)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5202) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5202), c_Groups_Ozero__class_Ozero(_u5202)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5202), hAPP(hAPP(c_Power_Opower__class_Opower(_u5202), _u5203), 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(_u5202), _u5204), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), hAPP(hAPP(c_Power_Opower__class_Opower(_u5205), _u5206), 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(_u5205), _u5207), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5205))) | ( _u5206 = c_Groups_Ozero__class_Ozero(_u5205)) )).
% 28.96/29.18 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), hAPP(hAPP(c_Power_Opower__class_Opower(_u5205), _u5206), 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(_u5205), _u5207), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5205))) | ( _u5207 = c_Groups_Ozero__class_Ozero(_u5205)) )).
% 28.96/29.18 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5205) | ( _u5206 != c_Groups_Ozero__class_Ozero(_u5205)) | ( _u5207 != c_Groups_Ozero__class_Ozero(_u5205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), hAPP(hAPP(c_Power_Opower__class_Opower(_u5205), _u5206), 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(_u5205), _u5207), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5205))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5208), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5208), hAPP(hAPP(c_Power_Opower__class_Opower(_u5208), _u5209), 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(_u5208), _u5210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5208))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5211), c_Groups_Ozero__class_Ozero(_u5211)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5211), hAPP(hAPP(c_Power_Opower__class_Opower(_u5211), _u5212), 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(_u5211), _u5213), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5212 != c_Groups_Ozero__class_Ozero(_u5211)) | ( _u5213 != c_Groups_Ozero__class_Ozero(_u5211)) )).
% 28.96/29.18 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5211), c_Groups_Ozero__class_Ozero(_u5211)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5211), hAPP(hAPP(c_Power_Opower__class_Opower(_u5211), _u5212), 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(_u5211), _u5213), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5212 = c_Groups_Ozero__class_Ozero(_u5211)) )).
% 28.96/29.18 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5211), c_Groups_Ozero__class_Ozero(_u5211)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5211), hAPP(hAPP(c_Power_Opower__class_Opower(_u5211), _u5212), 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(_u5211), _u5213), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5213 = c_Groups_Ozero__class_Ozero(_u5211)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u5214) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5214), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5214), _u5215), _u5216)), 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(_u5214), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5214), hAPP(hAPP(c_Power_Opower__class_Opower(_u5214), _u5215), 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(_u5214), _u5216), 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(_u5214), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5214), hAPP(c_Int_Onumber__class_Onumber__of(_u5214), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5215)), _u5216))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u5217) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5217), c_Groups_Ozero__class_Ozero(_u5217)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5217), _u5218), 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)))), _u5219)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5220) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5220), _u5221), 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)))), _u5222))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5220), _u5221), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5220), hAPP(hAPP(c_Power_Opower__class_Opower(_u5220), _u5221), _u5222)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5220), _u5221), _u5222)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u5223) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5223), _u5224), 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)))), _u5225))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5223), _u5224), hAPP(hAPP(c_Power_Opower__class_Opower(_u5223), hAPP(hAPP(c_Power_Opower__class_Opower(_u5223), _u5224), _u5225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u5226) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5226), hAPP(c_Groups_Ouminus__class_Ouminus(_u5226), c_Groups_Oone__class_Oone(_u5226))), 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)))), _u5227)) = c_Groups_Oone__class_Oone(_u5226)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5230))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5232))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5230))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5232)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5230))) )).
% 28.96/29.18 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), _u5231))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5233))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5231))) = 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), _u5233)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5231))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 28.96/29.18 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, _u5235, 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, _u5235, 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)) )).
% 28.96/29.18 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5236, 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, _u5236, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u5237)) | 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), _u5237), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u5238) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5238), _u5239), _u5240)), 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(_u5238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5238), hAPP(hAPP(c_Power_Opower__class_Opower(_u5238), _u5239), 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(_u5238), _u5240), 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(_u5238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5238), hAPP(c_Int_Onumber__class_Onumber__of(_u5238), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5239)), _u5240))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u5241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5241), c_Groups_Ozero__class_Ozero(_u5241)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5241), _u5242), 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)))), _u5243))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5241), c_Groups_Ozero__class_Ozero(_u5241)), _u5242)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u5244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5244), _u5245), c_Groups_Ozero__class_Ozero(_u5244))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5244), hAPP(hAPP(c_Power_Opower__class_Opower(_u5244), _u5245), 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)))), _u5246)))), c_Groups_Ozero__class_Ozero(_u5244))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u5247) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5247), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), c_Groups_Oone__class_Oone(_u5247))), 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)))), _u5248))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), c_Groups_Oone__class_Oone(_u5247))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u5249) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5249), hAPP(c_Int_Onumber__class_Onumber__of(_u5249), 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)))), _u5250)) = c_Groups_Oone__class_Oone(_u5249)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u5251) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5251), hAPP(c_Int_Onumber__class_Onumber__of(_u5251), 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)))), _u5252))) = hAPP(c_Int_Onumber__class_Onumber__of(_u5251), c_Int_OMin)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u5253)) | 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), _u5253), 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)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_int__of__code-1, axiom, ( ( _u5255 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u5255) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18 cnf(fact_int__of__code-2, axiom, ( ( _u5256 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5256, 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, _u5256) = 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), _u5256), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 28.96/29.18 cnf(fact_int__of__code-3, axiom, ( ( _u5256 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5256, 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, _u5256) = 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), _u5256), 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5257) | ~class_Int_Onumber__ring(_u5257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5257), c_Groups_Ozero__class_Ozero(_u5257)), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5257), c_Groups_Ozero__class_Ozero(_u5257)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5257), _u5258), hAPP(c_Int_Onumber__class_Onumber__of(_u5257), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~class_Int_Onumber__ring(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), hAPP(c_Int_Onumber__class_Onumber__of(_u5259), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5260)) )).
% 28.96/29.18 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~class_Int_Onumber__ring(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), hAPP(c_Int_Onumber__class_Onumber__of(_u5259), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 28.96/29.18 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem84(_u5266, _u5265, _u5264, _u5263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem85(_u5266, _u5265, _u5264, _u5263))) )).
% 28.96/29.18 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem84(_u5266, _u5265, _u5264, _u5263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5266, _u5265, _u5264, _u5263)), _u5264)) )).
% 28.96/29.18 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem84(_u5266, _u5265, _u5264, _u5263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | ( hAPP(_u5265, skolem85(_u5266, _u5265, _u5264, _u5263)) = _u5266) )).
% 28.96/29.18 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem85(_u5266, _u5265, _u5264, _u5263))) )).
% 28.96/29.18 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5266, _u5265, _u5264, _u5263)), _u5264)) )).
% 28.96/29.18 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | ( hAPP(_u5265, skolem85(_u5266, _u5265, _u5264, _u5263)) = _u5266) )).
% 28.96/29.18 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(_u5265, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5265, skolem84(_u5266, _u5265, _u5264, _u5263))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem85(_u5266, _u5265, _u5264, _u5263))) )).
% 28.96/29.18 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(_u5265, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5265, skolem84(_u5266, _u5265, _u5264, _u5263))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5266, _u5265, _u5264, _u5263)), _u5264)) )).
% 28.96/29.18 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(_u5265, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5265, skolem84(_u5266, _u5265, _u5264, _u5263))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | ( hAPP(_u5265, skolem85(_u5266, _u5265, _u5264, _u5263)) = _u5266) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5267), _u5268), c_Groups_Ozero__class_Ozero(_u5267)) = c_Groups_Ozero__class_Ozero(_u5267)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5269) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5269), c_Groups_Ozero__class_Ozero(_u5269)), _u5270) = c_Groups_Ozero__class_Ozero(_u5269)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u5271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5271), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5271), _u5272), _u5273)), _u5274) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5271), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5271), _u5272), _u5274)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5271), _u5273), _u5274))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5275) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), _u5276), _u5277)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), _u5278), _u5279)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5276), _u5278)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5277), _u5279))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5280) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5280), _u5281), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5280), _u5282), _u5283)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5280), _u5281), _u5282)), _u5283)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u5284) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5284), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5284), _u5285), _u5286)), _u5287) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5284), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5284), _u5285), _u5287)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5284), _u5286), _u5287))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u5288) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5288), _u5289), c_Groups_Oone__class_Oone(_u5288)) = _u5289) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5290) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5290), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5290), _u5291), _u5292)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5290), _u5291), hAPP(c_Groups_Ouminus__class_Ouminus(_u5290), _u5292))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5293) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5293), hAPP(c_Groups_Ouminus__class_Ouminus(_u5293), _u5294)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5293), _u5295)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5293), _u5294), _u5295)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5296) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5296), _u5297), _u5298)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5296), hAPP(c_Groups_Ouminus__class_Ouminus(_u5296), _u5297)), _u5298)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5299) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5299), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5300), _u5301)), _u5302) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), hAPP(hAPP(c_Power_Opower__class_Opower(_u5299), _u5300), _u5302)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5299), _u5301), _u5302))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), hAPP(c_Groups_Oabs__class_Oabs(_u5303), _u5304)), hAPP(c_Groups_Oabs__class_Oabs(_u5303), _u5305))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5306) | ~c_Nat__Transfer_Ois__nat(_u5307) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5306), _u5307)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5308)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5309) | ~c_Nat__Transfer_Ois__nat(_u5310) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5309), _u5310)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5311) | ~c_Nat__Transfer_Ois__nat(_u5312) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5311, _u5312)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5313) | ~c_Nat__Transfer_Ois__nat(_u5314) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5313), _u5314)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5315) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5315), _u5316)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 28.96/29.18 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 28.96/29.18 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 28.96/29.18 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 28.96/29.18 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5319)) )).
% 28.96/29.18 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5321), c_Groups_Ozero__class_Ozero(_u5320))) )).
% 28.96/29.18 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5322)) )).
% 28.96/29.18 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5322), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5321), c_Groups_Ozero__class_Ozero(_u5320))) )).
% 28.96/29.18 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5322), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5322)) )).
% 28.96/29.18 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5322), c_Groups_Ozero__class_Ozero(_u5320))) )).
% 28.96/29.18 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5321), c_Groups_Ozero__class_Ozero(_u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5322)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5323), _u5324), _u5325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5323), c_Groups_Ozero__class_Ozero(_u5323)), _u5326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5323), _u5324), _u5326)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5323), _u5325), _u5326))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5327), _u5328), _u5329)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5327), _u5330), c_Groups_Ozero__class_Ozero(_u5327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5327), _u5329), _u5330)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5327), _u5328), _u5330))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5331), _u5332), _u5333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5331), _u5334), c_Groups_Ozero__class_Ozero(_u5331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5331), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5331), _u5333), _u5334)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5331), _u5332), _u5334))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5335), _u5336), _u5337)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5335), c_Groups_Ozero__class_Ozero(_u5335)), _u5338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5335), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5335), _u5336), _u5338)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5335), _u5337), _u5338))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5339), _u5340), c_Groups_Ozero__class_Ozero(_u5339))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5339), _u5341), c_Groups_Ozero__class_Ozero(_u5339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5339), c_Groups_Ozero__class_Ozero(_u5339)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5339), _u5340), _u5341))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5342), _u5343), c_Groups_Ozero__class_Ozero(_u5342))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5342), c_Groups_Ozero__class_Ozero(_u5342)), _u5344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5342), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5342), _u5343), _u5344)), c_Groups_Ozero__class_Ozero(_u5342))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5345), c_Groups_Ozero__class_Ozero(_u5345)), _u5346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5345), _u5347), c_Groups_Ozero__class_Ozero(_u5345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5345), _u5346), _u5347)), c_Groups_Ozero__class_Ozero(_u5345))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5348), c_Groups_Ozero__class_Ozero(_u5348)), _u5349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5348), c_Groups_Ozero__class_Ozero(_u5348)), _u5350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5348), c_Groups_Ozero__class_Ozero(_u5348)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5348), _u5349), _u5350))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5352), c_Groups_Ozero__class_Ozero(_u5351))) )).
% 28.96/29.18 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5353)) )).
% 28.96/29.18 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5353), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5352), c_Groups_Ozero__class_Ozero(_u5351))) )).
% 28.96/29.18 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5353), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5353)) )).
% 28.96/29.18 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5353), c_Groups_Ozero__class_Ozero(_u5351))) )).
% 28.96/29.18 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5352), c_Groups_Ozero__class_Ozero(_u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5353)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5355), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 28.96/29.18 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5356), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 28.96/29.18 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5355), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 28.96/29.18 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5356), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 28.96/29.18 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5356)) )).
% 28.96/29.18 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5355), c_Groups_Ozero__class_Ozero(_u5354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5356), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( _u5360 = c_Groups_Ozero__class_Ozero(_u5357)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5357), _u5358), _u5360) = _u5359) )).
% 28.96/29.18 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( _u5360 != c_Groups_Ozero__class_Ozero(_u5357)) | ( _u5358 = c_Groups_Ozero__class_Ozero(_u5357)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( _u5360 != c_Groups_Ozero__class_Ozero(_u5357)) | ( _u5358 != c_Groups_Ozero__class_Ozero(_u5357)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5357), _u5358), _u5360) != _u5359) | ( _u5360 = c_Groups_Ozero__class_Ozero(_u5357)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5357), _u5358), _u5360) != _u5359) | ( _u5358 != c_Groups_Ozero__class_Ozero(_u5357)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) != _u5364) | ( _u5363 = c_Groups_Ozero__class_Ozero(_u5361)) | ( _u5362 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5361), _u5364), _u5363)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) != _u5364) | ( _u5363 != c_Groups_Ozero__class_Ozero(_u5361)) | ( _u5364 = c_Groups_Ozero__class_Ozero(_u5361)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) = _u5364) | ( _u5363 != c_Groups_Ozero__class_Ozero(_u5361)) | ( _u5364 != c_Groups_Ozero__class_Ozero(_u5361)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) = _u5364) | ( _u5362 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5361), _u5364), _u5363)) | ( _u5363 = c_Groups_Ozero__class_Ozero(_u5361)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) = _u5364) | ( _u5362 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5361), _u5364), _u5363)) | ( _u5364 != c_Groups_Ozero__class_Ozero(_u5361)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5365) | ( _u5366 = c_Groups_Ozero__class_Ozero(_u5365)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5365), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5365), _u5367), _u5366)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5365), _u5368), _u5366)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5365), _u5367), _u5368)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5369) | ( _u5370 = c_Groups_Ozero__class_Ozero(_u5369)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5369), _u5370), _u5371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5369), _u5370), _u5372)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5369), _u5371), _u5372)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u5373) | ( _u5374 = c_Groups_Ozero__class_Ozero(_u5373)) | ( _u5375 = c_Groups_Ozero__class_Ozero(_u5373)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5376), _u5374) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5377), _u5375)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5376), _u5375) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5377), _u5374)) )).
% 28.96/29.18 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u5373) | ( _u5374 = c_Groups_Ozero__class_Ozero(_u5373)) | ( _u5375 = c_Groups_Ozero__class_Ozero(_u5373)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5376), _u5375) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5377), _u5374)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5376), _u5374) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5377), _u5375)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5378) | ( _u5379 = c_Groups_Ozero__class_Ozero(_u5378)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5378), _u5380), _u5379) != _u5381) | ( _u5380 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5378), _u5381), _u5379)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5382) | ( _u5383 = c_Groups_Ozero__class_Ozero(_u5382)) | ( _u5384 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5382), _u5385), _u5383)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5382), _u5384), _u5383) = _u5385) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5386) | ( _u5387 = c_Groups_Ozero__class_Ozero(_u5386)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5386), _u5388), _u5387) != _u5389) | ( _u5388 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5386), _u5389), _u5387)) )).
% 28.96/29.18 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5386) | ( _u5387 = c_Groups_Ozero__class_Ozero(_u5386)) | ( _u5388 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5386), _u5389), _u5387)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5386), _u5388), _u5387) = _u5389) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5390) | ( _u5391 = c_Groups_Ozero__class_Ozero(_u5390)) | ( _u5392 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5390), _u5393), _u5391)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5390), _u5392), _u5391) = _u5393) )).
% 28.96/29.18 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5390) | ( _u5391 = c_Groups_Ozero__class_Ozero(_u5390)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5390), _u5392), _u5391) != _u5393) | ( _u5392 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5390), _u5393), _u5391)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5394) | ( _u5395 = c_Groups_Ozero__class_Ozero(_u5394)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5396), _u5395) != c_Groups_Oone__class_Oone(_u5394)) | ( _u5396 = _u5395) )).
% 28.96/29.18 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5394) | ( _u5395 = c_Groups_Ozero__class_Ozero(_u5394)) | ( _u5396 != _u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5396), _u5395) = c_Groups_Oone__class_Oone(_u5394)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u5397) | ( _u5398 = c_Groups_Ozero__class_Ozero(_u5397)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5397), _u5398), _u5398) = c_Groups_Oone__class_Oone(_u5397)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5399) | ( _u5400 != c_Groups_Ozero__class_Ozero(_u5399)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5400), _u5400) = c_Groups_Ozero__class_Ozero(_u5399)) )).
% 28.96/29.18 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5399) | ( _u5400 = c_Groups_Ozero__class_Ozero(_u5399)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5400), _u5400) = c_Groups_Oone__class_Oone(_u5399)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u5401) | ( _u5402 = c_Groups_Ozero__class_Ozero(_u5401)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5401), hAPP(c_Groups_Ouminus__class_Ouminus(_u5401), _u5403)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5401), _u5402)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5401), _u5403), _u5402)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5404) | ( _u5405 = c_Groups_Ozero__class_Ozero(_u5404)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5404), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5404), _u5406), _u5405)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5404), _u5406), hAPP(c_Groups_Ouminus__class_Ouminus(_u5404), _u5405))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u5407) | ( _u5408 = c_Groups_Ozero__class_Ozero(_u5407)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5407), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5409), _u5408)), _u5410) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), hAPP(hAPP(c_Power_Opower__class_Opower(_u5407), _u5409), _u5410)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5407), _u5408), _u5410))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u5411) | ( _u5412 = c_Groups_Ozero__class_Ozero(_u5411)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5411), _u5413), _u5412)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5411), hAPP(c_Groups_Oabs__class_Oabs(_u5411), _u5413)), hAPP(c_Groups_Oabs__class_Oabs(_u5411), _u5412))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5414) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5414), c_Groups_Oone__class_Oone(_u5414)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5414), _u5415), _u5416)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5414), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5414), c_Groups_Oone__class_Oone(_u5414)), _u5415)), _u5416)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5417) | ~c_Nat__Transfer_Ois__nat(_u5418) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5417, _u5418)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5419) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5419), _u5420), c_Groups_Ozero__class_Ozero(_u5419))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5419), _u5421), c_Groups_Ozero__class_Ozero(_u5419))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5419), c_Groups_Ozero__class_Ozero(_u5419)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5419), _u5420), _u5421))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5422), _u5423), c_Groups_Ozero__class_Ozero(_u5422))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5422), c_Groups_Ozero__class_Ozero(_u5422)), _u5424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5422), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5422), _u5423), _u5424)), c_Groups_Ozero__class_Ozero(_u5422))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), c_Groups_Ozero__class_Ozero(_u5425)), _u5426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), _u5426), _u5427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), c_Groups_Ozero__class_Ozero(_u5425)), _u5428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), _u5428), _u5429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5426), _u5429)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5427), _u5428))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5430), c_Groups_Ozero__class_Ozero(_u5430)), _u5431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), _u5431), _u5432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), c_Groups_Ozero__class_Ozero(_u5430)), _u5433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5430), _u5433), _u5434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5430), _u5431), _u5434)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5430), _u5432), _u5433))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u5435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), c_Groups_Ozero__class_Ozero(_u5435)), _u5436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), _u5436), _u5437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), c_Groups_Ozero__class_Ozero(_u5435)), _u5438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), _u5438), _u5439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5435), _u5436), _u5439)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5435), _u5437), _u5438))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5440), c_Groups_Ozero__class_Ozero(_u5440)), _u5441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5440), _u5442), c_Groups_Ozero__class_Ozero(_u5440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5440), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5440), _u5441), _u5442)), c_Groups_Ozero__class_Ozero(_u5440))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), _u5444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), _u5445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), _u5444), _u5445))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), _u5447), _u5448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), _u5449), c_Groups_Ozero__class_Ozero(_u5446))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), c_Groups_Ozero__class_Ozero(_u5446)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5446), _u5447), _u5448))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5446), _u5449), _u5447)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5446), _u5449), _u5448))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), _u5451), _u5452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), c_Groups_Ozero__class_Ozero(_u5450)), _u5453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), c_Groups_Ozero__class_Ozero(_u5450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5450), _u5452), _u5451))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5450), _u5453), _u5452)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5450), _u5453), _u5451))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), _u5455), c_Groups_Ozero__class_Ozero(_u5454))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5454), _u5456), _u5455)), _u5457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5457), _u5455)), _u5456)) )).
% 28.96/29.18 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), _u5455), c_Groups_Ozero__class_Ozero(_u5454))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5457), _u5455)), _u5456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5454), _u5456), _u5455)), _u5457)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5459), c_Groups_Ozero__class_Ozero(_u5458))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5460), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5458), _u5461), _u5459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5458), _u5460), _u5459))) )).
% 28.96/29.18 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5459), c_Groups_Ozero__class_Ozero(_u5458))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5458), _u5460), _u5459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5460), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5458), _u5461), _u5459))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5462), c_Groups_Ozero__class_Ozero(_u5462)), _u5463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5462), _u5464), _u5463)), _u5465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5462), _u5464), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5462), _u5465), _u5463))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5466), c_Groups_Ozero__class_Ozero(_u5466)), _u5467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5466), _u5468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5466), _u5469), _u5467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5466), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5466), _u5468), _u5467)), _u5469)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), c_Groups_Ozero__class_Ozero(_u5470)), _u5471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5470), _u5472), _u5471)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5470), _u5473), _u5471))) )).
% 28.96/29.18 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), c_Groups_Ozero__class_Ozero(_u5470)), _u5471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5470), _u5473), _u5471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5470), _u5472), _u5471)), _u5473)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), c_Groups_Ozero__class_Ozero(_u5474)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5474), _u5477), _u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5474), _u5476), _u5475)), _u5477)) )).
% 28.96/29.18 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), c_Groups_Ozero__class_Ozero(_u5474)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5474), _u5476), _u5475)), _u5477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5474), _u5477), _u5475))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) )).
% 28.96/29.18 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) )).
% 28.96/29.18 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 28.96/29.18 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 28.96/29.18 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) )).
% 28.96/29.18 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 28.96/29.18 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) )).
% 28.96/29.18 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 28.96/29.18 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) )).
% 28.96/29.18 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) )).
% 28.96/29.18 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) )).
% 28.96/29.18 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 28.96/29.18 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 28.96/29.18 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 28.96/29.18 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 28.96/29.18 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) )).
% 28.96/29.18 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 28.96/29.18 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 28.96/29.18 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5487) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5487)) )).
% 28.96/29.18 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)), _u5488)) | c_Nat__Transfer_Ois__nat(_u5488) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5489) | ( _u5490 = c_Groups_Ozero__class_Ozero(_u5489)) | ( _u5491 = c_Groups_Ozero__class_Ozero(_u5489)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), _u5492), _u5490)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), _u5493), _u5491)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5489), _u5492), _u5491)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5489), _u5493), _u5490))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5489), _u5490), _u5491))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5494) | ( _u5495 = c_Groups_Ozero__class_Ozero(_u5494)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5494), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5494), _u5496), _u5495)), _u5497) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5494), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5494), _u5496), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5494), _u5495), _u5497))), _u5495)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5498) | ( _u5499 = c_Groups_Ozero__class_Ozero(_u5498)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5498), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5498), _u5500), _u5499)), _u5501) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5498), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5498), _u5500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5498), _u5501), _u5499))), _u5499)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5502) | ( _u5503 = c_Groups_Ozero__class_Ozero(_u5502)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5504), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5502), _u5505), _u5503)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5502), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5502), _u5503), _u5504)), _u5505)), _u5503)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5506) | ( _u5507 = c_Groups_Ozero__class_Ozero(_u5506)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), _u5508), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5506), _u5509), _u5507)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), _u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5508), _u5507))), _u5507)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5510) | ( _u5511 = c_Groups_Ozero__class_Ozero(_u5510)) | ( _u5512 = c_Groups_Ozero__class_Ozero(_u5510)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), _u5513), _u5511)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), _u5514), _u5512)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5510), _u5513), _u5512)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5510), _u5514), _u5511))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5510), _u5511), _u5512))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5515) | ( _u5516 = c_Groups_Ozero__class_Ozero(_u5515)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5515), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5515), _u5517), _u5516)), _u5518) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5515), _u5517), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5516), _u5518))), _u5516)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5519) | ( _u5520 = c_Groups_Ozero__class_Ozero(_u5519)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5519), _u5521), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5522), _u5520)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5521)), _u5522)), _u5520)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) != _u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525) = c_Groups_Ozero__class_Ozero(_u5523)) | ( _u5524 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525))) )).
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) != _u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525) != c_Groups_Ozero__class_Ozero(_u5523)) | ( _u5526 = c_Groups_Ozero__class_Ozero(_u5523)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) = _u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525) != c_Groups_Ozero__class_Ozero(_u5523)) | ( _u5526 != c_Groups_Ozero__class_Ozero(_u5523)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) = _u5526) | ( _u5524 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525) = c_Groups_Ozero__class_Ozero(_u5523)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) = _u5526) | ( _u5524 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525))) | ( _u5526 != c_Groups_Ozero__class_Ozero(_u5523)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) != hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5529 = c_Groups_Ozero__class_Ozero(_u5527)) | ( _u5528 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)), _u5529)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) != hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5529 != c_Groups_Ozero__class_Ozero(_u5527)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530) = c_Groups_Ozero__class_Ozero(_u5527)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) = hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5529 != c_Groups_Ozero__class_Ozero(_u5527)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530) != c_Groups_Ozero__class_Ozero(_u5527)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) = hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5528 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)), _u5529)) | ( _u5529 = c_Groups_Ozero__class_Ozero(_u5527)) )).
% 28.96/29.18 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) = hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5528 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)), _u5529)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530) != c_Groups_Ozero__class_Ozero(_u5527)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( _u5534 = c_Groups_Ozero__class_Ozero(_u5531)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532)), _u5534) = _u5533) )).
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( _u5534 != c_Groups_Ozero__class_Ozero(_u5531)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) = c_Groups_Ozero__class_Ozero(_u5531)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( _u5534 != c_Groups_Ozero__class_Ozero(_u5531)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) != c_Groups_Ozero__class_Ozero(_u5531)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532)), _u5534) != _u5533) | ( _u5534 = c_Groups_Ozero__class_Ozero(_u5531)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532)), _u5534) != _u5533) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) != c_Groups_Ozero__class_Ozero(_u5531)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538) = c_Groups_Ozero__class_Ozero(_u5535)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538)) = _u5537) )).
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538) != c_Groups_Ozero__class_Ozero(_u5535)) | ( _u5536 = c_Groups_Ozero__class_Ozero(_u5535)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538) != c_Groups_Ozero__class_Ozero(_u5535)) | ( _u5536 != c_Groups_Ozero__class_Ozero(_u5535)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538)) != _u5537) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538) = c_Groups_Ozero__class_Ozero(_u5535)) )).
% 28.96/29.18 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538)) != _u5537) | ( _u5536 != c_Groups_Ozero__class_Ozero(_u5535)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5539), _u5540), _u5541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5539), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5539), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5539), _u5540), _u5541)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5539), c_Groups_Oone__class_Oone(_u5539)), c_Groups_Oone__class_Oone(_u5539)))), _u5541)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5542), _u5543), _u5544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5542), _u5543), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5542), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), c_Groups_Oone__class_Oone(_u5542)), c_Groups_Oone__class_Oone(_u5542))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5545) | ~class_Int_Onumber__ring(_u5545) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5545), _u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5545), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5545)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), c_Groups_Ozero__class_Ozero(_u5547)), _u5548)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5547), hAPP(c_Groups_Oabs__class_Oabs(_u5547), _u5549)), _u5548) = hAPP(c_Groups_Oabs__class_Oabs(_u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5547), _u5549), _u5548))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u5550) | ~class_Int_Onumber__ring(_u5550) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5551), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), c_Int_OBit1(c_Int_OPls))) = _u5551) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u5552) | ~class_Int_Onumber__ring(_u5552) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5552), _u5553), hAPP(c_Int_Onumber__class_Onumber__of(_u5552), c_Int_OBit1(c_Int_OPls))) = _u5553) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5554) | ~class_Int_Onumber__ring(_u5554) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5554), _u5555)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5557), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5559), c_Groups_Ozero__class_Ozero(_u5556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5556), c_Groups_Ozero__class_Ozero(_u5556)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5556), _u5557), _u5558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5556), _u5559), _u5557)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5556), _u5559), _u5558))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5560), _u5561), _u5562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5560), c_Groups_Ozero__class_Ozero(_u5560)), _u5563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5560), c_Groups_Ozero__class_Ozero(_u5560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5560), _u5562), _u5561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5560), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5560), _u5563), _u5562)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5560), _u5563), _u5561))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5564), _u5565), c_Groups_Ozero__class_Ozero(_u5564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5564), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5564), _u5566), _u5565)), _u5567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5564), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5564), _u5567), _u5565)), _u5566)) )).
% 28.96/29.18 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5564), _u5565), c_Groups_Ozero__class_Ozero(_u5564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5564), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5564), _u5567), _u5565)), _u5566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5564), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5564), _u5566), _u5565)), _u5567)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5568), _u5569), c_Groups_Ozero__class_Ozero(_u5568))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5568), _u5570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5568), _u5571), _u5569))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5568), _u5571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5568), _u5570), _u5569))) )).
% 28.96/29.18 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5568), _u5569), c_Groups_Ozero__class_Ozero(_u5568))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5568), _u5571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5568), _u5570), _u5569))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5568), _u5570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5568), _u5571), _u5569))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5572), c_Groups_Ozero__class_Ozero(_u5572)), _u5573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5572), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5572), _u5574), _u5573)), _u5575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5572), _u5574), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5572), _u5575), _u5573))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5576), c_Groups_Ozero__class_Ozero(_u5576)), _u5577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5576), _u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5576), _u5579), _u5577))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5576), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5576), _u5578), _u5577)), _u5579)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5580), c_Groups_Ozero__class_Ozero(_u5580)), _u5581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5580), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5580), _u5582), _u5581)), _u5583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5580), _u5582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5580), _u5583), _u5581))) )).
% 28.96/29.18 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5580), c_Groups_Ozero__class_Ozero(_u5580)), _u5581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5580), _u5582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5580), _u5583), _u5581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5580), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5580), _u5582), _u5581)), _u5583)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5584), c_Groups_Ozero__class_Ozero(_u5584)), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5584), _u5586), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5584), _u5587), _u5585))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5584), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5584), _u5586), _u5585)), _u5587)) )).
% 28.96/29.18 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5584), c_Groups_Ozero__class_Ozero(_u5584)), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5584), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5584), _u5586), _u5585)), _u5587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5584), _u5586), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5584), _u5587), _u5585))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) )).
% 28.96/29.18 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) )).
% 28.96/29.18 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 28.96/29.18 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 28.96/29.18 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) )).
% 28.96/29.18 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 28.96/29.18 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) )).
% 28.96/29.18 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 28.96/29.18 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) )).
% 28.96/29.18 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) )).
% 28.96/29.18 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) )).
% 28.96/29.18 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 28.96/29.18 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 28.96/29.18 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 28.96/29.18 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 28.96/29.18 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) )).
% 28.96/29.18 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 28.96/29.18 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 28.96/29.18 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 28.96/29.18 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) )).
% 28.96/29.18 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u5612) | ( _u5613 = c_Groups_Ozero__class_Ozero(_u5612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5614), _u5615)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5612), _u5613), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5615), _u5614)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5612), hAPP(hAPP(c_Power_Opower__class_Opower(_u5612), _u5613), _u5615)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5612), _u5613), _u5614))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5616) | ~class_Int_Onumber__ring(_u5616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5616), c_Int_OMin)), _u5617) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5616), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5616), c_Groups_Oone__class_Oone(_u5616)), _u5617))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 28.96/29.18 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) )).
% 28.96/29.18 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 28.96/29.18 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u5636 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5636, _u5638) = _u5638) )).
% 28.96/29.18 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u5637 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5637, _u5639) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5637), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u5639))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 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)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5640, _u5641, _u5642, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5641) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u5645, _u5647) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5645), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 28.96/29.18 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u5645, _u5647) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5647), _u5645)) )).
% 28.96/29.18 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5646), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5648), _u5646)) | ( c_Random_Olog(_u5646, _u5648) = 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(_u5646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u5648), _u5646)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u5649, _u5650) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u5651, _u5652) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u5653, _u5654) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u5655) | c_FunDef_Ois__measure(_u5655, c_Nat_Osize__class_Osize(_u5655)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5659), _u5661)) | ( c_Random_Ominus__shift(_u5663, _u5659, _u5661) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5663), _u5659)), _u5661)) )).
% 28.96/29.18 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5660), _u5662)) | ( c_Random_Ominus__shift(_u5664, _u5660, _u5662) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5660), _u5662)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_inc__shift__def-1, axiom, ( ( _u5667 != _u5669) | ( c_Random_Oinc__shift(_u5667, _u5669) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 28.96/29.18 cnf(fact_inc__shift__def-2, axiom, ( ( _u5668 = _u5670) | ( c_Random_Oinc__shift(_u5668, _u5670) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5670), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5671)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u5671)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u5672)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u5672)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5673), _u5674), _u5675)) | ~c_Nitpick_Ofold__graph_H(_u5673, _u5676, _u5677, _u5678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5673, tc_HOL_Obool)), _u5675), hAPP(hAPP(c_Set_Oinsert(_u5673), _u5674), c_Orderings_Obot__class_Obot(tc_fun(_u5673, tc_HOL_Obool)))), _u5679) | c_Nitpick_Ofold__graph_H(_u5673, _u5676, _u5677, _u5678, _u5675, hAPP(hAPP(_u5677, _u5674), _u5679)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u5682) != c_Code__Numeral_OSuc__code__numeral(_u5684)) | ( _u5682 = _u5684) )).
% 28.96/29.18 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u5683 != _u5685) | ( c_Code__Numeral_OSuc__code__numeral(_u5683) = c_Code__Numeral_OSuc__code__numeral(_u5685)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u5686, _u5687, _u5688, _u5689, c_Orderings_Obot__class_Obot(tc_fun(_u5686, tc_HOL_Obool)), _u5689) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u5690, _u5691, _u5692, _u5693, c_Orderings_Obot__class_Obot(tc_fun(_u5690, tc_HOL_Obool)), _u5693) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5694)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u5695) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5696, _u5697, _u5698, c_Code__Numeral_OSuc__code__numeral(_u5699)) = hAPP(_u5698, _u5699)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 28.96/29.18 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(_u5700)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u5700) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( _u5720 = c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u5712), skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), _u5720)) )).
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( _u5720 = c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool))) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = hAPP(hAPP(_u5716, skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), skolem87(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712))) )).
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( _u5720 = c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5712, tc_HOL_Obool)), _u5720), hAPP(hAPP(c_Set_Oinsert(_u5712), skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool)))), skolem87(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)) )).
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = _u5718) | hBOOL(hAPP(hAPP(c_member(_u5712), skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), _u5720)) )).
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = _u5718) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = hAPP(hAPP(_u5716, skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), skolem87(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712))) )).
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = _u5718) | c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5712, tc_HOL_Obool)), _u5720), hAPP(hAPP(c_Set_Oinsert(_u5712), skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool)))), skolem87(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)) )).
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u5713, _u5715, _u5717, _u5719, _u5721, hAPP(hAPP(_u5717, _u5723), _u5725)) | ( _u5721 != c_Orderings_Obot__class_Obot(tc_fun(_u5713, tc_HOL_Obool))) | ( hAPP(hAPP(_u5717, _u5723), _u5725) != _u5719) )).
% 28.96/29.18 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u5713, _u5715, _u5717, _u5719, _u5721, hAPP(hAPP(_u5717, _u5723), _u5725)) | ~hBOOL(hAPP(hAPP(c_member(_u5713), _u5704), _u5721)) | ( hAPP(hAPP(_u5717, _u5723), _u5725) != hAPP(hAPP(_u5717, _u5704), _u5703)) | ~c_Nitpick_Ofold__graph_H(_u5713, _u5715, _u5717, _u5719, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5713, tc_HOL_Obool)), _u5721), hAPP(hAPP(c_Set_Oinsert(_u5713), _u5704), c_Orderings_Obot__class_Obot(tc_fun(_u5713, tc_HOL_Obool)))), _u5703) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u5726, _u5727) = 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), _u5726)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5727))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u5730 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5732, _u5730) = _u5732) )).
% 28.96/29.18 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u5731 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5733, _u5731) = c_Nitpick_Onat__gcd(_u5731, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5733, _u5731))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5734), _u5735) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u5734), _u5735)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u5736, _u5737) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5736), _u5737)), c_Nitpick_Onat__gcd(_u5736, _u5737))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u5738), _u5739) = 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), _u5738)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5739))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u5740, _u5741, _u5742, _u5743, c_Nitpick_Opair__box_OPairBox(_u5740, _u5741, _u5744, _u5745)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u5742, _u5744)), hAPP(_u5743, _u5745))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5746))) | ~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), _u5746)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5746)) = 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), _u5746)))) )).
% 28.96/29.18 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), _u5746))) | 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), _u5746)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5746)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5746)), 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), _u5746))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5749), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5751)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5749)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5751)) )).
% 28.96/29.18 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5750), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5752)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5750)) = 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), _u5752), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5750)))), 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5753, _u5754, _u5755, c_Code__Numeral_OSuc__code__numeral(_u5756)) = hAPP(hAPP(_u5755, _u5756), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5753, _u5754, _u5755, _u5756))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_o__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u5757, _u5758, _u5759, _u5760), _u5761), _u5762) = hAPP(_u5760, hAPP(_u5761, _u5762))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u5763, _u5764, _u5765, hAPP(c_COMBK(_u5764, _u5763), _u5766)), _u5767), _u5768) = _u5766) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u5769) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5770, _u5769)), _u5771), _u5772), _u5773) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5769), hAPP(_u5771, _u5773)), hAPP(_u5772, _u5773))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 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, _u5776)), _u5778)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5776), _u5778)) )).
% 28.96/29.18 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), _u5777), _u5779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5777)), _u5779)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u5780) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5781, _u5780)), _u5782), _u5783) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5780), hAPP(_u5782, _u5783))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u5784) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u5785, _u5784)), _u5786) = c_Orderings_Obot__class_Obot(_u5784)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_peek__and__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_peek__and__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u5792, _u5794, _u5796), _u5798), _u5800)) | hBOOL(hAPP(hAPP(_u5794, _u5798), _u5800)) )).
% 28.96/29.18 cnf(fact_peek__and__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u5792, _u5794, _u5796), _u5798), _u5800)) | hBOOL(hAPP(_u5796, _u5800)) )).
% 28.96/29.18 cnf(fact_peek__and__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u5795, _u5799), _u5801)) | ~hBOOL(hAPP(_u5797, _u5801)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u5793, _u5795, _u5797), _u5799), _u5801)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u5808, _u5810, _u5812, _u5814) != c_Nitpick_Opair__box_OPairBox(_u5808, _u5810, _u5816, _u5818)) | ( _u5812 = _u5816) )).
% 28.96/29.18 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u5808, _u5810, _u5812, _u5814) != c_Nitpick_Opair__box_OPairBox(_u5808, _u5810, _u5816, _u5818)) | ( _u5814 = _u5818) )).
% 28.96/29.18 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u5813 != _u5817) | ( _u5815 != _u5819) | ( c_Nitpick_Opair__box_OPairBox(_u5809, _u5811, _u5813, _u5815) = c_Nitpick_Opair__box_OPairBox(_u5809, _u5811, _u5817, _u5819)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5820) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5820))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5821), hAPP(c_Nat_OSuc, _u5822)) = 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), _u5821), _u5822))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5823)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5823)), 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u5824) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5824), _u5825), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5826))) = hAPP(hAPP(c_HOL_OLet(_u5824, _u5824), hAPP(hAPP(c_Power_Opower__class_Opower(_u5824), _u5825), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5826))), hAPP(hAPP(c_COMBS(_u5824, _u5824, _u5824), c_Groups_Otimes__class_Otimes(_u5824)), c_COMBI(_u5824)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5827), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5828))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5827), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5828))), 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5829) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5829), hAPP(c_Int_Onumber__class_Onumber__of(_u5829), _u5830)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5831))) = hAPP(hAPP(c_HOL_OLet(_u5829, _u5829), hAPP(hAPP(c_Power_Opower__class_Opower(_u5829), hAPP(c_Int_Onumber__class_Onumber__of(_u5829), _u5830)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5831))), hAPP(hAPP(c_COMBS(_u5829, _u5829, _u5829), c_Groups_Otimes__class_Otimes(_u5829)), c_COMBI(_u5829)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5834)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5836)), hAPP(c_Int_Onat, _u5834)) = hAPP(c_Int_Onat, _u5836)) )).
% 28.96/29.18 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5835)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5837)), hAPP(c_Int_Onat, _u5835)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5837), _u5835)), 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5838), 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)), _u5839)) | ( c_Divides_OnegDivAlg(_u5838, _u5839) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5838), _u5839)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5838, _u5839))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5840) = 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), _u5840), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u5841) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5841), _u5842) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5841, hAPP(hAPP(c_COMBC(_u5841, _u5841, _u5841), c_Groups_Oplus__class_Oplus(_u5841)), c_Groups_Oone__class_Oone(_u5841)), _u5842, c_Groups_Ozero__class_Ozero(_u5841))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u5843, _u5844)), c_Nitpick_Opair__box_OPairBox(_u5843, _u5844, _u5845, _u5846)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u5847), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5848), _u5849)) = 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), _u5849), _u5847)), 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)))), _u5848)), 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)))), _u5848)), _u5849)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_LoopF ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_LoopF-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5850, _u5851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u5850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u5850), hAPP(hAPP(c_COMBC(_u5850, 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)), _u5850), 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)), _u5850), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u5852))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u5853))), c_Com_Ocom_OWhile(_u5853, _u5854)), _u5852)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5850), tc_HOL_Obool)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5857) != hAPP(c_Nat_OSuc, _u5859)) | 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(_u5857))), 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)), _u5859))))) )).
% 28.96/29.18 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(_u5858))), 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)), _u5860))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5858) = hAPP(c_Nat_OSuc, _u5860)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5863) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5865)) | 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(_u5865))), 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)), _u5863))))) )).
% 28.96/29.18 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(_u5866))), 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)), _u5864))))) | ( hAPP(c_Nat_OSuc, _u5864) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5866)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5867, _u5868, _u5869, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5870)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5867), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5870))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5867, _u5867), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5867, tc_fun(_u5867, _u5867)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5867, tc_fun(_u5867, _u5867)), tc_Int_Oint), c_If(_u5867)), c_Nat__Numeral_Oneg)), _u5868)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5867, tc_Int_Oint), _u5869), c_Int_Onat)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5872))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5872)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5873))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5873)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5873)), 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5878))) | 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(_u5878))), 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), _u5876)), c_Int_Onat))))) )).
% 28.96/29.18 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(_u5879))), 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), _u5877)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5877)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5879))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5882)), hAPP(c_Nat_OSuc, _u5884))) | 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(_u5882))), 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)), _u5884)))) )).
% 28.96/29.18 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(_u5883))), 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)), _u5885)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5883)), hAPP(c_Nat_OSuc, _u5885))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5888)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5890))) | 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(_u5890))), 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), _u5888)), c_Int_Onat))))) )).
% 28.96/29.18 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(_u5891))), 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), _u5889)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5889)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5891))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5894)), hAPP(c_Nat_OSuc, _u5896))) | 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(_u5894))), 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)), _u5896)))) )).
% 28.96/29.18 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(_u5895))), 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)), _u5897)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5895)), hAPP(c_Nat_OSuc, _u5897))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u5898, _u5899, _u5900, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5901)), _u5902)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5898), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5901))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5898, _u5898), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5898, tc_fun(_u5898, _u5898)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5898, tc_fun(_u5898, _u5898)), tc_Int_Oint), c_If(_u5898)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u5898, _u5899, _u5900, _u5902))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5898, tc_Int_Oint), _u5900), 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)), _u5902))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u5903) | ~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), _u5904))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5903), _u5905), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5904))) = hAPP(hAPP(c_HOL_OLet(_u5903, _u5903), hAPP(hAPP(c_Power_Opower__class_Opower(_u5903), _u5905), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5904))), hAPP(hAPP(c_COMBS(_u5903, _u5903, _u5903), hAPP(hAPP(c_COMBB(_u5903, tc_fun(_u5903, _u5903), _u5903), c_Groups_Otimes__class_Otimes(_u5903)), hAPP(c_Groups_Otimes__class_Otimes(_u5903), _u5905))), c_COMBI(_u5903)))) )).
% 28.96/29.18 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u5903) | 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), _u5904))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5903), _u5905), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5904))) = c_Groups_Oone__class_Oone(_u5903)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5908))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5910), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5908))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5910), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5908))), 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), _u5910))), c_COMBI(tc_Int_Oint)))) )).
% 28.96/29.18 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), _u5909))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5911), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5909))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u5914, _u5916) = 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), _u5914), _u5916))) | ~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), _u5914), _u5916))) )).
% 28.96/29.18 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u5914, _u5916) = 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), _u5914), _u5916))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5916), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 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), _u5915), _u5917))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5917), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5915, _u5917) = hAPP(c_Divides_Oadjust(_u5917), c_Divides_OnegDivAlg(_u5915, 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)))), _u5917)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5918) | ~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), _u5919))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5918), hAPP(c_Int_Onumber__class_Onumber__of(_u5918), _u5920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5919))) = hAPP(hAPP(c_HOL_OLet(_u5918, _u5918), hAPP(hAPP(c_Power_Opower__class_Opower(_u5918), hAPP(c_Int_Onumber__class_Onumber__of(_u5918), _u5920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5919))), hAPP(hAPP(c_COMBS(_u5918, _u5918, _u5918), hAPP(hAPP(c_COMBB(_u5918, tc_fun(_u5918, _u5918), _u5918), c_Groups_Otimes__class_Otimes(_u5918)), hAPP(c_Groups_Otimes__class_Otimes(_u5918), hAPP(c_Int_Onumber__class_Onumber__of(_u5918), _u5920)))), c_COMBI(_u5918)))) )).
% 28.96/29.18 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u5918) | 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), _u5919))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5918), hAPP(c_Int_Onumber__class_Onumber__of(_u5918), _u5920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5919))) = c_Groups_Oone__class_Oone(_u5918)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5921, _u5922, _u5923, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5922) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5924))) | ~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), _u5925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5925), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)) = 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), _u5925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)))) )).
% 28.96/29.18 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), _u5924))) | 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), _u5925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5925), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5925), 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), _u5924))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u5926)) | ~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), _u5927), _u5926))) | ( c_Divides_OnegDivAlg(_u5927, _u5926) = 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), _u5927), _u5926))) )).
% 28.96/29.18 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)), _u5926)) | 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), _u5927), _u5926))) | ( c_Divides_OnegDivAlg(_u5927, _u5926) = hAPP(c_Divides_Oadjust(_u5926), c_Divides_OnegDivAlg(_u5927, 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)))), _u5926)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5930), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5932, _u5930) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5932), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5930))) )).
% 28.96/29.18 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5931), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5933, _u5931) = 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))) | ( _u5933 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5931), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5933, _u5931) = 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))) | ( _u5931 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5931), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5933 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5931 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5933, _u5931) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5933), _u5931)), 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), _u5933))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5931)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5934))) | ~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), _u5934))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5934)) = 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))) )).
% 28.96/29.18 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), _u5934))) | 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), _u5934))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5934)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5934)), 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), _u5934))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u5937, _u5939) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5937), _u5939)) )).
% 28.96/29.18 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u5937, _u5939) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5939), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5938), _u5940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5940), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5938, _u5940) = hAPP(c_Divides_Oadjust(_u5940), c_Divides_OposDivAlg(_u5938, 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)))), _u5940)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u5941) = 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)), _u5941))))), 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)), _u5941))))), 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)))))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u5947, _u5949, _u5951), _u5953), _u5955)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5947, _u5949)), hAPP(hAPP(c_Product__Type_OPair(_u5947, _u5949), _u5953), _u5955)), _u5951)) )).
% 28.96/29.18 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5948, _u5950)), hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5954), _u5956)), _u5952)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u5948, _u5950, _u5952), _u5954), _u5956)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5957) = 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u5958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5959)) | ( c_Divides_OposDivAlg(_u5958, _u5959) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5959)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5958, _u5959))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u5960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5961), _u5960)) | ( c_Divides_OposDivAlg(_u5961, _u5960) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5961)) )).
% 28.96/29.18 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)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5961), _u5960)) | ( c_Divides_OposDivAlg(_u5961, _u5960) = hAPP(c_Divides_Oadjust(_u5960), c_Divides_OposDivAlg(_u5961, 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)))), _u5960)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u5962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962)) = 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), _u5963))) )).
% 28.96/29.18 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), _u5962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963), 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), _u5962))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u5964) | ( _u5965 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5964), _u5965) = c_Groups_Ozero__class_Ozero(_u5964)) )).
% 28.96/29.18 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u5964) | ( _u5965 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5965), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5964), _u5965) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5964), hAPP(c_Int_Oring__1__class_Oof__int(_u5964), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5965)))) )).
% 28.96/29.18 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u5964) | ( _u5965 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5965), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5964), _u5965) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u5964), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u5964, _u5964)), tc_fun(tc_Int_Oint, _u5964)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5964, _u5964), _u5964), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u5964, _u5964)), tc_fun(tc_Int_Oint, _u5964)), tc_Int_Oint), c_COMBB(tc_fun(_u5964, _u5964), _u5964, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u5964, tc_fun(tc_fun(_u5964, _u5964), _u5964), tc_Int_Oint), c_HOL_OLet(_u5964, _u5964)), c_Int_Oring__1__class_Oof__int(_u5964)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5964, _u5964), tc_fun(_u5964, _u5964)), hAPP(hAPP(c_COMBB(tc_fun(_u5964, tc_fun(_u5964, _u5964)), tc_fun(tc_fun(_u5964, _u5964), tc_fun(_u5964, _u5964)), tc_Int_Oint), c_COMBS(_u5964, _u5964, _u5964)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5964, _u5964), tc_fun(_u5964, tc_fun(_u5964, _u5964))), hAPP(hAPP(c_COMBB(tc_fun(_u5964, tc_fun(_u5964, _u5964)), tc_fun(tc_fun(_u5964, _u5964), tc_fun(_u5964, tc_fun(_u5964, _u5964))), tc_Int_Oint), c_COMBB(_u5964, tc_fun(_u5964, _u5964), _u5964)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5964, tc_fun(_u5964, _u5964)), tc_Int_Oint), c_If(_u5964)), 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(_u5964, _u5964, _u5964), c_Groups_Oplus__class_Oplus(_u5964)), c_COMBI(_u5964))))), hAPP(hAPP(c_COMBC(_u5964, _u5964, _u5964), hAPP(hAPP(c_COMBB(_u5964, tc_fun(_u5964, _u5964), _u5964), c_Groups_Oplus__class_Oplus(_u5964)), hAPP(hAPP(c_COMBS(_u5964, _u5964, _u5964), c_Groups_Oplus__class_Oplus(_u5964)), c_COMBI(_u5964)))), c_Groups_Oone__class_Oone(_u5964))))), c_Divides_Odivmod__int(_u5965, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u5966, _u5967) = 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), _u5966), _u5967)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5966, _u5967))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u5972, _u5974) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5972, _u5972)), hAPP(hAPP(c_Product__Type_OPair(_u5972, _u5972), _u5968), _u5968)), _u5974)) )).
% 28.96/29.18 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5973, _u5973)), hAPP(hAPP(c_Product__Type_OPair(_u5973, _u5973), skolem88(_u5975, _u5973)), skolem88(_u5975, _u5973))), _u5975)) | c_Nitpick_Orefl_H(_u5973, _u5975) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u5976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5976), _u5977)) | ( c_Divides_Odivmod__nat(_u5977, _u5976) = 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), _u5977), _u5976)), _u5976))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5977), _u5976), _u5976))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5978, _u5979, _u5980), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5981)), _u5982)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5978), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5981))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5978, _u5978), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5978, tc_fun(_u5978, _u5978)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5978, tc_fun(_u5978, _u5978)), tc_Int_Oint), c_If(_u5978)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u5978, _u5979, _u5980), _u5982))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5978, _u5978), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5978, _u5978), tc_Int_Oint), _u5980), 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)), _u5982))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5978, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5978, _u5979, _u5980)), 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)), _u5982)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5983, _u5984, _u5985), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u5984) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5986, _u5987, _u5988), hAPP(c_Nat_OSuc, _u5989)) = hAPP(hAPP(_u5988, _u5989), hAPP(c_Nat_Onat_Onat__rec(_u5986, _u5987, _u5988), _u5989))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u5990, 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)), _u5990)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5991), _u5992)) | ( c_Divides_Odivmod__nat(_u5991, _u5992) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5991)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u5993, _u5994) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5993), _u5994)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5993, _u5994))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u5995, _u5996) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5995), _u5996)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5995, _u5996))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5997, _u5998, _u5999), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6000)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5997), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6000))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5997, _u5997), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5997, tc_fun(_u5997, _u5997)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5997, tc_fun(_u5997, _u5997)), tc_Int_Oint), c_If(_u5997)), c_Nat__Numeral_Oneg)), _u5998)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5997, _u5997), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5997, _u5997), tc_Int_Oint), _u5999), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5997, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5997, _u5998, _u5999)), c_Int_Onat))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 28.96/29.18 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))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u6003)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6005)) | ( c_Divides_Odivmod__int(_u6003, _u6005) = c_Divides_OposDivAlg(_u6003, _u6005)) )).
% 28.96/29.18 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)), _u6003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6005)) | ( _u6003 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6003, _u6005) = 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))) )).
% 28.96/29.18 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)), _u6003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6005)) | ( _u6003 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6003, _u6005) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6003), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6005)))) )).
% 28.96/29.18 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)), _u6004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6006)) | ( c_Divides_Odivmod__int(_u6004, _u6006) = c_Divides_OnegDivAlg(_u6004, _u6006)) )).
% 28.96/29.18 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)), _u6004)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6006)) | ( c_Divides_Odivmod__int(_u6004, _u6006) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6004), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6006)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u6009 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6009, _u6011) = 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))) )).
% 28.96/29.18 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u6010 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6012 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6010, _u6012) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6010)) )).
% 28.96/29.18 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u6010 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6012 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6010, _u6012) = 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, _u6012))), 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)), _u6012)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6010))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6012), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6010), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u6010, _u6012)), 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), _u6012))))), c_Divides_Opdivmod(_u6010, _u6012))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_MGT__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_MGT__def-1, axiom, ( ( c_Hoare__Mirabelle_OMGT(_u6013) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u6013), c_Natural_Oevalc(_u6013))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6014, _u6015), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6016), _u6017))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6015)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6018), _u6014), _u6015), 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), _u6018), _u6016)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6018), _u6017)), _u6015))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6018), _u6017), _u6015)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6019, _u6020), _u6021)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6019, _u6020), _u6022)) | ( _u6021 = _u6022) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 28.96/29.18 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))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6023, _u6024), _u6025)) | ( c_Divides_Odivmod__nat(_u6023, _u6024) = _u6025) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6026, _u6027), c_Divides_Odivmod__nat(_u6026, _u6027))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6028, _u6029), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6030), _u6031))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6028, _u6029) = _u6031) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6032, _u6033), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6034), _u6035))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6032), _u6033) = _u6034) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6036), _u6037)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6036), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6037))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6038, _u6039), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6038), _u6039)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6038, _u6039)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6040, _u6041), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6042), _u6043))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6044, _u6041), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6045), _u6046))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6041)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6040), _u6044), _u6041), 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), _u6042), _u6045)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6043), _u6046)), _u6041))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6043), _u6046), _u6041)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u6047, _u6048) = 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), _u6047)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6048))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6047), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6048)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u6051 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6053, _u6051) = 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), _u6053))) )).
% 28.96/29.18 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u6052 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6054, _u6052) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6054), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6052))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__code-1, axiom, ( ( _u6057 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6057, _u6059) = 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))) )).
% 28.96/29.18 cnf(fact_divmod__int__code-2, axiom, ( ( _u6058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6060 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6058, _u6060) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6058)) )).
% 28.96/29.18 cnf(fact_divmod__int__code-3, axiom, ( ( _u6058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6060 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6058, _u6060) = 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, _u6060))), 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, _u6058)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6060))), c_Divides_Opdivmod(_u6058, _u6060)), 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), _u6060))))), c_Divides_Opdivmod(_u6058, _u6060))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6061, _u6062), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6063), _u6064))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6065)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6061, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6062), _u6065)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6063), _u6065)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6062), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6063, _u6065))), _u6064)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6066, _u6067), _u6068)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6069, _u6070, tc_HOL_Obool), _u6066), hAPP(hAPP(c_Product__Type_OPair(_u6069, _u6070), _u6067), _u6068))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_splitI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6071, _u6072), _u6073)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6074, _u6075, tc_HOL_Obool), _u6071), hAPP(hAPP(c_Product__Type_OPair(_u6074, _u6075), _u6072), _u6073))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6076, _u6076)), hAPP(hAPP(c_Product__Type_OPair(_u6076, _u6076), _u6077), _u6078)), _u6079)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6076, _u6076)), hAPP(hAPP(c_Product__Type_OPair(_u6076, _u6076), _u6078), _u6080)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6076, _u6076), tc_HOL_Obool), _u6081), _u6079))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6076, _u6076)), hAPP(hAPP(c_Product__Type_OPair(_u6076, _u6076), _u6077), _u6080)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6076, _u6076), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u6081)), _u6079))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6082, _u6082)), hAPP(hAPP(c_Product__Type_OPair(_u6082, _u6082), _u6083), _u6084)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6082, _u6082), tc_HOL_Obool), _u6085), _u6086))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6082, _u6082)), hAPP(hAPP(c_Product__Type_OPair(_u6082, _u6082), _u6084), _u6087)), _u6086)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6082, _u6082)), hAPP(hAPP(c_Product__Type_OPair(_u6082, _u6082), _u6083), _u6087)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6082, _u6082), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u6085)), _u6086))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u6089 = _u6090) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6088, _u6088)), hAPP(hAPP(c_Product__Type_OPair(_u6088, _u6088), _u6089), _u6090)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6088, _u6088), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6091))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6092, _u6093), _u6094), _u6095) != hAPP(hAPP(c_Product__Type_OPair(_u6092, _u6093), _u6096), _u6097)) | ( _u6094 = _u6096) )).
% 28.96/29.18 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6092, _u6093), _u6094), _u6095) != hAPP(hAPP(c_Product__Type_OPair(_u6092, _u6093), _u6096), _u6097)) | ( _u6095 = _u6097) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6104, _u6106), _u6108), _u6110) != hAPP(hAPP(c_Product__Type_OPair(_u6104, _u6106), _u6112), _u6114)) | ( _u6108 = _u6112) )).
% 28.96/29.18 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6104, _u6106), _u6108), _u6110) != hAPP(hAPP(c_Product__Type_OPair(_u6104, _u6106), _u6112), _u6114)) | ( _u6110 = _u6114) )).
% 28.96/29.18 cnf(fact_Pair__eq-3, axiom, ( ( _u6109 != _u6113) | ( _u6111 != _u6115) | ( hAPP(hAPP(c_Product__Type_OPair(_u6105, _u6107), _u6109), _u6111) = hAPP(hAPP(c_Product__Type_OPair(_u6105, _u6107), _u6113), _u6115)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u6125, skolem89(_u6129, _u6127, _u6125))) | hBOOL(hAPP(_u6125, hAPP(hAPP(c_Product__Type_OPair(_u6127, _u6129), _u6118), _u6117))) )).
% 28.96/29.18 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u6126, hAPP(hAPP(c_Product__Type_OPair(_u6128, _u6130), skolem90(_u6130, _u6128, _u6126)), skolem91(_u6130, _u6128, _u6126)))) | hBOOL(hAPP(_u6126, _u6121)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__weak__cong-1, axiom, ( ( _u6131 != _u6132) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6133, _u6134, _u6135), _u6136), _u6131) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6133, _u6134, _u6135), _u6136), _u6132)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6137, _u6137), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6138) = _u6138) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6139, _u6140, _u6141), _u6142), hAPP(hAPP(c_Product__Type_OPair(_u6139, _u6140), _u6143), _u6144)) = hAPP(hAPP(_u6142, _u6143), _u6144)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6145, _u6146, _u6147), _u6148), hAPP(hAPP(c_Product__Type_OPair(_u6145, _u6146), _u6149), _u6150)) = hAPP(hAPP(_u6148, _u6149), _u6150)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_splitD ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u6153, _u6154), _u6155)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6151, _u6152, tc_HOL_Obool), _u6153), hAPP(hAPP(c_Product__Type_OPair(_u6151, _u6152), _u6154), _u6155))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6156, _u6157, _u6158, _u6159), hAPP(hAPP(c_Product__Type_OPair(_u6158, _u6156), _u6160), _u6161)) = hAPP(hAPP(c_Product__Type_OPair(_u6158, _u6157), _u6160), hAPP(_u6159, _u6161))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6162, _u6163, _u6164, _u6165), hAPP(c_Product__Type_Oapsnd(_u6166, _u6162, _u6164, _u6167), _u6168)) = hAPP(c_Product__Type_Oapsnd(_u6166, _u6163, _u6164, hAPP(c_Fun_Ocomp(_u6162, _u6163, _u6166, _u6165), _u6167)), _u6168)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u6169, _u6170, _u6171), hAPP(hAPP(c_COMBB(tc_fun(_u6170, tc_prod(_u6169, _u6170)), tc_fun(_u6170, _u6171), _u6169), hAPP(c_COMBB(tc_prod(_u6169, _u6170), _u6171, _u6170), _u6172)), c_Product__Type_OPair(_u6169, _u6170))) = _u6172) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6173, _u6174, _u6175), _u6176), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6177, _u6178, tc_prod(_u6173, _u6174)), _u6179), _u6180)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6177, _u6178, _u6175), hAPP(hAPP(c_COMBB(tc_fun(_u6178, tc_prod(_u6173, _u6174)), tc_fun(_u6178, _u6175), _u6177), hAPP(c_COMBB(tc_prod(_u6173, _u6174), _u6175, _u6178), hAPP(c_Product__Type_Oprod_Oprod__case(_u6173, _u6174, _u6175), _u6176))), _u6179)), _u6180)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u6181, _u6181)), hAPP(hAPP(c_Product__Type_OPair(_u6181, _u6181), _u6182), _u6182)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6181, _u6181), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6183))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u6184, _u6185, _u6186, _u6187, c_Nitpick_Opair__box_OPairBox(_u6184, _u6185, _u6188, _u6189)) = hAPP(hAPP(_u6187, _u6188), _u6189)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u6190, _u6191, _u6192, _u6193, c_Nitpick_Opair__box_OPairBox(_u6190, _u6191, _u6194, _u6195)) = hAPP(hAPP(_u6193, _u6194), _u6195)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6196), _u6197))) | ( c_Divides_OnegDivAlg(_u6196, _u6197) = 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), _u6196), _u6197))) | ~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), _u6196), _u6197))) )).
% 28.96/29.18 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), _u6196), _u6197))) | ( c_Divides_OnegDivAlg(_u6196, _u6197) = 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), _u6196), _u6197))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 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), _u6196), _u6197))) | 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), _u6196), _u6197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u6196, _u6197) = hAPP(c_Divides_Oadjust(_u6197), c_Divides_OnegDivAlg(_u6196, 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)))), _u6197)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6198, _u6199), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6200), _u6201))) | ( _u6199 = 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)), _u6202)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6198, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6199), _u6202)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6200), _u6202)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6199), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6200, _u6202))), _u6201)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6203), _u6204))) | ( c_Divides_OposDivAlg(_u6203, _u6204) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6203), _u6204)) )).
% 28.96/29.18 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), _u6203), _u6204))) | ( c_Divides_OposDivAlg(_u6203, _u6204) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6204), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 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), _u6203), _u6204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6203), _u6204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6204), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u6203, _u6204) = hAPP(c_Divides_Oadjust(_u6204), c_Divides_OposDivAlg(_u6203, 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)))), _u6204)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6205), _u6206), hAPP(hAPP(_u6207, _u6208), _u6209))) | hBOOL(hAPP(hAPP(c_member(_u6205), _u6206), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6210, _u6211, tc_fun(_u6205, tc_HOL_Obool)), _u6207), hAPP(hAPP(c_Product__Type_OPair(_u6210, _u6211), _u6208), _u6209)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6212, _u6213), _u6214)) | ~hBOOL(hAPP(hAPP(_u6213, _u6215), _u6214)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u6212, _u6213), _u6215)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6221, _u6223), _u6225)) | ~hBOOL(hAPP(hAPP(_u6223, _u6216), _u6225)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u6221, _u6223), _u6216)) )).
% 28.96/29.18 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u6222, _u6224), _u6226)) | hBOOL(hAPP(hAPP(_u6224, skolem92(_u6226, _u6224, _u6222)), _u6226)) )).
% 28.96/29.18 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u6222, _u6224), _u6226)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6222, _u6224), skolem92(_u6226, _u6224, _u6222))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6232, _u6234), _u6236)) | ~hBOOL(hAPP(hAPP(_u6234, _u6227), _u6236)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u6232, _u6234), _u6227)) )).
% 28.96/29.18 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u6233, _u6235), _u6237)) | hBOOL(hAPP(hAPP(_u6235, skolem93(_u6237, _u6235, _u6233)), _u6237)) )).
% 28.96/29.18 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u6233, _u6235), _u6237)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6233, _u6235), skolem93(_u6237, _u6235, _u6233))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u6241, _u6242), _u6243), _u6244)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6238, _u6239, tc_fun(_u6240, tc_HOL_Obool)), _u6241), hAPP(hAPP(c_Product__Type_OPair(_u6238, _u6239), _u6242), _u6243)), _u6244)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6245, tc_fun(_u6245, tc_HOL_Obool))), _u6246), _u6247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6245, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u6245, _u6247)), c_Wellfounded_Oaccp(_u6245, _u6246))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6248, _u6249), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6250), _u6251))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6248, _u6249), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6252), _u6253))) | ( _u6249 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6251 = _u6253) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6254, _u6255), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6256), _u6257))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6254, _u6255), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6258), _u6259))) | ( _u6255 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6256 = _u6258) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6260, _u6260), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6261), _u6262))) | ( _u6260 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6262 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u6263 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u6263), 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)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6264), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6265)), _u6266)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6264, _u6265), hAPP(c_Divides_OnegateSnd, _u6266))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__correct-1, axiom, ( ( _u6267 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6268, _u6267), c_Divides_Odivmod__int(_u6268, _u6267))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6269, _u6269), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6270), _u6271))) | ( _u6269 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6270 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6272, _u6273), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6274), _u6275))) | ( _u6273 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6272, _u6273) = _u6275) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6276, _u6277), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6278), _u6279))) | ( _u6277 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6276), _u6277) = _u6278) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6280), 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)), _u6281)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6280, _u6281), c_Divides_OnegDivAlg(_u6280, _u6281))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u6282 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6283, _u6282), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6283), _u6282)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6283, _u6282)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u6284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6285)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6284, _u6285), c_Divides_OposDivAlg(_u6284, _u6285))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6286, _u6287), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6288), _u6289))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6290, _u6287), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6291), _u6292))) | ( _u6287 = 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), _u6286), _u6290), _u6287), 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), _u6288), _u6291)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6289), _u6292)), _u6287))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6289), _u6292), _u6287)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6293, _u6294), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6295), _u6296))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6293), _u6294), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6296), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6295)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6295)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6296), 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), _u6294), _u6296))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u6301, _u6299) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6301)) | ( _u6299 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u6301, _u6299) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6301), _u6299)) )).
% 28.96/29.18 cnf(fact_divmod__nat__if-3, axiom, ( ( _u6300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6302), _u6300)) | ( c_Divides_Odivmod__nat(_u6302, _u6300) = 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), _u6302), _u6300), _u6300))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__relI-1, axiom, ( ( _u6303 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6304), _u6305)), _u6306)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6303, _u6304), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6305), _u6306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6304), _u6306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6306), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18 cnf(fact_divmod__int__relI-2, axiom, ( ( _u6303 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6304), _u6305)), _u6306)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6303, _u6304), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6305), _u6306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6306), _u6304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6304)) )).
% 28.96/29.18 cnf(fact_divmod__int__relI-3, axiom, ( ( _u6303 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6304), _u6305)), _u6306)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6303, _u6304), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6305), _u6306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6306), _u6304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6304), _u6306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6306), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6307, _u6308), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6309), _u6310))) | ( _u6308 = 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), _u6311), _u6307), _u6308), 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), _u6311), _u6309)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6311), _u6310)), _u6308))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6311), _u6310), _u6308)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u6312, _u6313) = 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, _u6312))), 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), _u6313)))))), 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)), _u6313))), 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)), _u6313))))), 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)), _u6313)))), 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), _u6313))), 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)))))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6314), _u6315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6314, _u6315) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6314), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6315))) )).
% 28.96/29.18 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), _u6314), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6314, _u6315) = 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))) | ( _u6314 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18 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), _u6314), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6314, _u6315) = 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))) | ( _u6315 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 28.96/29.18 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), _u6314), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6314 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6315 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u6314, _u6315) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u6314), _u6315)), 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), _u6314))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6315)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6318), _u6319))) | hBOOL(hAPP(hAPP(_u6320, _u6318), _u6319)) | 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), skolem94(_u6320, _u6319, _u6318)), skolem95(_u6320, _u6319, _u6318)))) )).
% 28.96/29.18 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), _u6318), _u6319))) | hBOOL(hAPP(hAPP(_u6320, _u6318), _u6319)) | 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), skolem94(_u6320, _u6319, _u6318)), skolem95(_u6320, _u6319, _u6318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem95(_u6320, _u6319, _u6318)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6320, skolem94(_u6320, _u6319, _u6318)), 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)))), skolem95(_u6320, _u6319, _u6318)))) )).
% 28.96/29.18 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), _u6318), _u6319))) | hBOOL(hAPP(hAPP(_u6320, _u6318), _u6319)) | ~hBOOL(hAPP(hAPP(_u6320, skolem94(_u6320, _u6319, _u6318)), skolem95(_u6320, _u6319, _u6318))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6323), _u6324))) | hBOOL(hAPP(hAPP(_u6325, _u6323), _u6324)) | 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), skolem96(_u6325, _u6324, _u6323)), skolem97(_u6325, _u6324, _u6323)))) )).
% 28.96/29.18 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), _u6323), _u6324))) | hBOOL(hAPP(hAPP(_u6325, _u6323), _u6324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem96(_u6325, _u6324, _u6323)), skolem97(_u6325, _u6324, _u6323))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem97(_u6325, _u6324, _u6323)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6325, skolem96(_u6325, _u6324, _u6323)), 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)))), skolem97(_u6325, _u6324, _u6323)))) )).
% 28.96/29.18 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), _u6323), _u6324))) | hBOOL(hAPP(hAPP(_u6325, _u6323), _u6324)) | ~hBOOL(hAPP(hAPP(_u6325, skolem96(_u6325, _u6324, _u6323)), skolem97(_u6325, _u6324, _u6323))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6326)), 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), _u6326)) = 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), _u6326)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u6337, _u6333)), hAPP(_u6337, _u6335))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6331, _u6331)), hAPP(hAPP(c_Product__Type_OPair(_u6331, _u6331), _u6333), _u6335)), hAPP(c_Wellfounded_Omeasure(_u6331), _u6337))) )).
% 28.96/29.18 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u6338, _u6334)), hAPP(_u6338, _u6336))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6332, _u6332)), hAPP(hAPP(c_Product__Type_OPair(_u6332, _u6332), _u6334), _u6336)), hAPP(c_Wellfounded_Omeasure(_u6332), _u6338))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6339, _u6340), hAPP(hAPP(c_Product__Type_OPair(_u6339, _u6340), _u6341), _u6342)) = _u6342) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_snd__eqD-1, axiom, ( ( _u6346 = _u6347) | ( hAPP(c_Product__Type_Osnd(_u6343, _u6344), hAPP(hAPP(c_Product__Type_OPair(_u6343, _u6344), _u6345), _u6346)) != _u6347) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6348, _u6349), hAPP(c_Product__Type_Oapsnd(_u6350, _u6349, _u6348, _u6351), _u6352)) = hAPP(_u6351, hAPP(c_Product__Type_Osnd(_u6348, _u6350), _u6352))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u6359, _u6361, _u6363, _u6365), _u6367) != hAPP(c_Product__Type_Oapsnd(_u6359, _u6361, _u6363, _u6369), _u6367)) | ( hAPP(_u6365, hAPP(c_Product__Type_Osnd(_u6363, _u6359), _u6367)) = hAPP(_u6369, hAPP(c_Product__Type_Osnd(_u6363, _u6359), _u6367))) )).
% 28.96/29.18 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u6366, hAPP(c_Product__Type_Osnd(_u6364, _u6360), _u6368)) != hAPP(_u6370, hAPP(c_Product__Type_Osnd(_u6364, _u6360), _u6368))) | ( hAPP(c_Product__Type_Oapsnd(_u6360, _u6362, _u6364, _u6366), _u6368) = hAPP(c_Product__Type_Oapsnd(_u6360, _u6362, _u6364, _u6370), _u6368)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6371, _u6372), _u6373) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6371, _u6372, _u6372), hAPP(c_COMBK(tc_fun(_u6372, _u6372), _u6371), c_COMBI(_u6372))), _u6373)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u6374, _u6375) | c_FunDef_Ois__measure(tc_prod(_u6376, _u6374), hAPP(hAPP(c_COMBB(_u6374, tc_Nat_Onat, tc_prod(_u6376, _u6374)), _u6375), c_Product__Type_Osnd(_u6376, _u6374))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6377, _u6378) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6377, _u6378))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6379), 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)), _u6380)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6379, _u6380) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6379, _u6380))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u6381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6382)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6381, _u6382) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6381, _u6382))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6383))) | ( 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), _u6383)) = 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), _u6383)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u6384)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6385), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6384, _u6385) = 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), _u6384), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6385))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6386), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6387), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6386, _u6387) = 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), _u6386), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6387))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6388), _u6389))) | ( _u6389 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6388, _u6389) = _u6388) )).
% 28.96/29.18 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), _u6388), _u6389))) | ( _u6389 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6388, _u6389) = c_Nitpick_Onat__gcd(_u6389, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6388, _u6389))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6394, tc_fun(_u6396, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u6394, tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_fun(_u6396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6396, tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_fun(_u6396, tc_HOL_Obool)), _u6394), c_COMBC(_u6396, tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6396, tc_prod(_u6394, _u6396)), tc_fun(_u6396, tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), _u6394), hAPP(c_COMBB(tc_prod(_u6394, _u6396), tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool), _u6396), c_member(tc_prod(_u6394, _u6396)))), c_Product__Type_OPair(_u6394, _u6396)))), _u6398)), hAPP(hAPP(c_COMBC(_u6394, tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_fun(_u6396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6396, tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_fun(_u6396, tc_HOL_Obool)), _u6394), c_COMBC(_u6396, tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6396, tc_prod(_u6394, _u6396)), tc_fun(_u6396, tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), _u6394), hAPP(c_COMBB(tc_prod(_u6394, _u6396), tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool), _u6396), c_member(tc_prod(_u6394, _u6396)))), c_Product__Type_OPair(_u6394, _u6396)))), _u6400))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool)), _u6398), _u6400)) )).
% 28.96/29.18 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool)), _u6399), _u6401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6395, tc_fun(_u6397, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u6395, tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_fun(_u6397, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6397, tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_fun(_u6397, tc_HOL_Obool)), _u6395), c_COMBC(_u6397, tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6397, tc_prod(_u6395, _u6397)), tc_fun(_u6397, tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), _u6395), hAPP(c_COMBB(tc_prod(_u6395, _u6397), tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool), _u6397), c_member(tc_prod(_u6395, _u6397)))), c_Product__Type_OPair(_u6395, _u6397)))), _u6399)), hAPP(hAPP(c_COMBC(_u6395, tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_fun(_u6397, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6397, tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_fun(_u6397, tc_HOL_Obool)), _u6395), c_COMBC(_u6397, tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6397, tc_prod(_u6395, _u6397)), tc_fun(_u6397, tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), _u6395), hAPP(c_COMBB(tc_prod(_u6395, _u6397), tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool), _u6397), c_member(tc_prod(_u6395, _u6397)))), c_Product__Type_OPair(_u6395, _u6397)))), _u6401))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6404), _u6405))) | hBOOL(hAPP(hAPP(_u6406, _u6404), _u6405)) | 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), skolem98(_u6406, _u6405, _u6404)), skolem99(_u6406, _u6405, _u6404)))) )).
% 28.96/29.18 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), _u6404), _u6405))) | hBOOL(hAPP(hAPP(_u6406, _u6404), _u6405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem99(_u6406, _u6405, _u6404)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6406, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem98(_u6406, _u6405, _u6404))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem99(_u6406, _u6405, _u6404)))) )).
% 28.96/29.18 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), _u6404), _u6405))) | hBOOL(hAPP(hAPP(_u6406, _u6404), _u6405)) | ~hBOOL(hAPP(hAPP(_u6406, skolem98(_u6406, _u6405, _u6404)), skolem99(_u6406, _u6405, _u6404))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6407)), 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), _u6407)) = 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), _u6407)))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6412, tc_fun(_u6414, tc_HOL_Obool))), _u6416), _u6418)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6412, _u6414)), hAPP(hAPP(c_Product__Type_OPair(_u6412, _u6414), _u6416), _u6418)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6412, _u6414), tc_HOL_Obool)))) )).
% 28.96/29.18 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6413, _u6415)), hAPP(hAPP(c_Product__Type_OPair(_u6413, _u6415), _u6417), _u6419)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6413, _u6415), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6413, tc_fun(_u6415, tc_HOL_Obool))), _u6417), _u6419)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6420, tc_fun(_u6421, tc_HOL_Obool))), _u6422), _u6423)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__by__empty-1, axiom, ( ( _u6424 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6425, _u6425), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u6425, _u6425), tc_HOL_Obool)), _u6424), _u6426)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fst__eqD-1, axiom, ( ( _u6429 = _u6431) | ( hAPP(c_Product__Type_Ofst(_u6427, _u6428), hAPP(hAPP(c_Product__Type_OPair(_u6427, _u6428), _u6429), _u6430)) != _u6431) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6432, _u6433), hAPP(hAPP(c_Product__Type_OPair(_u6432, _u6433), _u6434), _u6435)) = _u6434) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6436, _u6437), _u6438) != hAPP(c_Product__Type_Ofst(_u6436, _u6437), _u6439)) | ( hAPP(c_Product__Type_Osnd(_u6436, _u6437), _u6438) != hAPP(c_Product__Type_Osnd(_u6436, _u6437), _u6439)) | ( _u6438 = _u6439) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u6444 != _u6446) | ( hAPP(c_Product__Type_Ofst(_u6448, _u6450), _u6444) = hAPP(c_Product__Type_Ofst(_u6448, _u6450), _u6446)) )).
% 28.96/29.18 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u6444 != _u6446) | ( hAPP(c_Product__Type_Osnd(_u6448, _u6450), _u6444) = hAPP(c_Product__Type_Osnd(_u6448, _u6450), _u6446)) )).
% 28.96/29.18 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6449, _u6451), _u6445) != hAPP(c_Product__Type_Ofst(_u6449, _u6451), _u6447)) | ( hAPP(c_Product__Type_Osnd(_u6449, _u6451), _u6445) != hAPP(c_Product__Type_Osnd(_u6449, _u6451), _u6447)) | ( _u6445 = _u6447) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6452, _u6453), hAPP(c_Product__Type_Oapsnd(_u6454, _u6453, _u6452, _u6455), _u6456)) = hAPP(c_Product__Type_Ofst(_u6452, _u6454), _u6456)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6457, _u6458), _u6459) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6457, _u6458, _u6457), c_COMBK(_u6457, _u6458)), _u6459)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u6460, _u6461) | c_FunDef_Ois__measure(tc_prod(_u6460, _u6462), hAPP(hAPP(c_COMBB(_u6460, tc_Nat_Onat, tc_prod(_u6460, _u6462)), _u6461), c_Product__Type_Ofst(_u6460, _u6462))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_surjective__pairing-1, axiom, ( ( _u6463 = hAPP(hAPP(c_Product__Type_OPair(_u6464, _u6465), hAPP(c_Product__Type_Ofst(_u6464, _u6465), _u6463)), hAPP(c_Product__Type_Osnd(_u6464, _u6465), _u6463))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6466, _u6467), hAPP(c_Product__Type_Ofst(_u6466, _u6467), _u6468)), hAPP(c_Product__Type_Osnd(_u6466, _u6467), _u6468)) = _u6468) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6469, _u6470, _u6471), hAPP(c_Fun_Ocomp(_u6472, tc_fun(_u6470, _u6471), _u6469, _u6473), _u6474)), _u6475) = hAPP(hAPP(_u6473, hAPP(_u6474, hAPP(c_Product__Type_Ofst(_u6469, _u6470), _u6475))), hAPP(c_Product__Type_Osnd(_u6469, _u6470), _u6475))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6476, _u6477, _u6478), _u6479), _u6480) = hAPP(hAPP(_u6479, hAPP(c_Product__Type_Ofst(_u6476, _u6477), _u6480)), hAPP(c_Product__Type_Osnd(_u6476, _u6477), _u6480))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6481), _u6482) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6481, _u6482))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6483, _u6484) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6483, _u6484))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u6485, _u6486), _u6486, _u6487), hAPP(hAPP(c_COMBB(_u6488, tc_fun(_u6486, _u6487), tc_prod(_u6485, _u6486)), _u6489), hAPP(hAPP(c_COMBB(_u6485, _u6488, tc_prod(_u6485, _u6486)), _u6490), c_Product__Type_Ofst(_u6485, _u6486)))), c_Product__Type_Osnd(_u6485, _u6486)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u6485, _u6486, _u6487), hAPP(hAPP(c_COMBB(_u6488, tc_fun(_u6486, _u6487), _u6485), _u6489), _u6490))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6491, _u6492, _u6493), _u6494), _u6495) = hAPP(hAPP(_u6494, hAPP(c_Product__Type_Ofst(_u6491, _u6492), _u6495)), hAPP(c_Product__Type_Osnd(_u6491, _u6492), _u6495))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_split__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6496, _u6497, _u6498), _u6499), _u6500) = hAPP(hAPP(_u6499, hAPP(c_Product__Type_Ofst(_u6496, _u6497), _u6500)), hAPP(c_Product__Type_Osnd(_u6496, _u6497), _u6500))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_eq__mem-1, axiom, ( ( _u6506 = _u6508) | ~hBOOL(hAPP(hAPP(c_member(_u6504), _u6506), hAPP(c_fequal, _u6508))) )).
% 28.96/29.18 cnf(fact_eq__mem-2, axiom, ( ( _u6507 != _u6509) | hBOOL(hAPP(hAPP(c_member(_u6505), _u6507), hAPP(c_fequal, _u6509))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u6510, _u6511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6512, tc_HOL_Obool)), _u6510), _u6513)) | hBOOL(hAPP(_u6513, _u6511)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u6515, _u6517)) | hBOOL(hAPP(_u6516, _u6517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6514, tc_HOL_Obool)), _u6515), _u6516)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6518), 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)), _u6519)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6518), _u6519) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6518, _u6519))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__equals__eq-1, axiom, ( ( _u6525 = _u6527) | ( hAPP(hAPP(c_COMBC(_u6523, tc_fun(_u6523, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6523)), _u6525) != hAPP(hAPP(c_COMBC(_u6523, tc_fun(_u6523, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6523)), _u6527)) )).
% 28.96/29.18 cnf(fact_pred__equals__eq-2, axiom, ( ( _u6526 != _u6528) | ( hAPP(hAPP(c_COMBC(_u6524, tc_fun(_u6524, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6524)), _u6526) = hAPP(hAPP(c_COMBC(_u6524, tc_fun(_u6524, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6524)), _u6528)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6531, _u6533), _u6534)) | hBOOL(hAPP(hAPP(_u6532, _u6533), _u6534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6529, tc_fun(_u6530, tc_HOL_Obool))), _u6531), _u6532)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6535, _u6536), _u6537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6538, tc_fun(_u6539, tc_HOL_Obool))), _u6535), _u6540)) | hBOOL(hAPP(hAPP(_u6540, _u6536), _u6537)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u6541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6542)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6541), _u6542) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6541, _u6542))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6543))) | ( 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), _u6543)) = 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), _u6543)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u6544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6545), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6544), _u6545) = 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), _u6544), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6545))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6547), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6546), _u6547) = 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), _u6546), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6547))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6550, tc_HOL_Obool)), _u6552)) | hBOOL(hAPP(hAPP(c_member(_u6550), _u6552), c_Orderings_Obot__class_Obot(tc_fun(_u6550, tc_HOL_Obool)))) )).
% 28.96/29.18 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6551), _u6553), c_Orderings_Obot__class_Obot(tc_fun(_u6551, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6551, tc_HOL_Obool)), _u6553)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6557, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u6557, tc_fun(_u6557, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6557)), _u6559)), hAPP(hAPP(c_COMBC(_u6557, tc_fun(_u6557, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6557)), _u6561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6557, tc_HOL_Obool)), _u6559), _u6561)) )).
% 28.96/29.18 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6558, tc_HOL_Obool)), _u6560), _u6562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6558, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u6558, tc_fun(_u6558, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6558)), _u6560)), hAPP(hAPP(c_COMBC(_u6558, tc_fun(_u6558, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6558)), _u6562))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u6571 = _u6573) | ( hAPP(hAPP(c_COMBC(_u6567, tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_fun(_u6569, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6569, tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_fun(_u6569, tc_HOL_Obool)), _u6567), c_COMBC(_u6569, tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6569, tc_prod(_u6567, _u6569)), tc_fun(_u6569, tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), _u6567), hAPP(c_COMBB(tc_prod(_u6567, _u6569), tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool), _u6569), c_member(tc_prod(_u6567, _u6569)))), c_Product__Type_OPair(_u6567, _u6569)))), _u6571) != hAPP(hAPP(c_COMBC(_u6567, tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_fun(_u6569, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6569, tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_fun(_u6569, tc_HOL_Obool)), _u6567), c_COMBC(_u6569, tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6569, tc_prod(_u6567, _u6569)), tc_fun(_u6569, tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), _u6567), hAPP(c_COMBB(tc_prod(_u6567, _u6569), tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool), _u6569), c_member(tc_prod(_u6567, _u6569)))), c_Product__Type_OPair(_u6567, _u6569)))), _u6573)) )).
% 28.96/29.18 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u6572 != _u6574) | ( hAPP(hAPP(c_COMBC(_u6568, tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_fun(_u6570, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6570, tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_fun(_u6570, tc_HOL_Obool)), _u6568), c_COMBC(_u6570, tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6570, tc_prod(_u6568, _u6570)), tc_fun(_u6570, tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), _u6568), hAPP(c_COMBB(tc_prod(_u6568, _u6570), tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool), _u6570), c_member(tc_prod(_u6568, _u6570)))), c_Product__Type_OPair(_u6568, _u6570)))), _u6572) = hAPP(hAPP(c_COMBC(_u6568, tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_fun(_u6570, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6570, tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_fun(_u6570, tc_HOL_Obool)), _u6568), c_COMBC(_u6570, tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6570, tc_prod(_u6568, _u6570)), tc_fun(_u6570, tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), _u6568), hAPP(c_COMBB(tc_prod(_u6568, _u6570), tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool), _u6570), c_member(tc_prod(_u6568, _u6570)))), c_Product__Type_OPair(_u6568, _u6570)))), _u6574)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u6575, _u6576, _u6577, _u6578, _u6579) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6577, hAPP(c_Product__Type_Ofst(_u6575, _u6576), _u6579))), hAPP(_u6578, hAPP(c_Product__Type_Osnd(_u6575, _u6576), _u6579)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6580, _u6581), _u6582)) | hBOOL(hAPP(hAPP(_u6580, hAPP(c_Product__Type_Osnd(_u6583, _u6584), hAPP(hAPP(c_Product__Type_OPair(_u6583, _u6584), _u6582), _u6581))), hAPP(c_Product__Type_Ofst(_u6583, _u6584), hAPP(hAPP(c_Product__Type_OPair(_u6583, _u6584), _u6582), _u6581)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u6585, _u6586)) | ~hBOOL(hAPP(_u6587, _u6588)) | hBOOL(hAPP(_u6585, hAPP(c_Product__Type_Ofst(_u6589, _u6590), hAPP(hAPP(c_Product__Type_OPair(_u6589, _u6590), _u6586), _u6588)))) )).
% 28.96/29.18 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u6585, _u6586)) | ~hBOOL(hAPP(_u6587, _u6588)) | hBOOL(hAPP(_u6587, hAPP(c_Product__Type_Osnd(_u6589, _u6590), hAPP(hAPP(c_Product__Type_OPair(_u6589, _u6590), _u6586), _u6588)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6593), _u6594))) | hBOOL(hAPP(hAPP(_u6595, _u6593), _u6594)) | 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), skolem100(_u6595, _u6594, _u6593)), skolem101(_u6595, _u6594, _u6593)))) )).
% 28.96/29.18 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), _u6593), _u6594))) | hBOOL(hAPP(hAPP(_u6595, _u6593), _u6594)) | ( skolem101(_u6595, _u6594, _u6593) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u6595, skolem101(_u6595, _u6594, _u6593)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem100(_u6595, _u6594, _u6593), skolem101(_u6595, _u6594, _u6593)))) )).
% 28.96/29.18 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), _u6593), _u6594))) | hBOOL(hAPP(hAPP(_u6595, _u6593), _u6594)) | ~hBOOL(hAPP(hAPP(_u6595, skolem100(_u6595, _u6594, _u6593)), skolem101(_u6595, _u6594, _u6593))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u6596, _u6597)), hAPP(_u6596, _u6598))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6599, _u6599)), hAPP(hAPP(c_Product__Type_OPair(_u6599, _u6599), _u6597), _u6598)), _u6600)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6599, _u6599)), hAPP(hAPP(c_Product__Type_OPair(_u6599, _u6599), _u6597), _u6598)), c_Wellfounded_Omlex__prod(_u6599, _u6596, _u6600))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6601), _u6602) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6601, _u6602))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6606 = 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), _u6610)), _u6608)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6610))) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6610) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 = 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)), _u6608)) | 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), _u6610))) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 = 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)), _u6608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6610)), _u6608)) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 = 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)), _u6608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6608), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6610))) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 = 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)), _u6608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6610)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( _u6609 = 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)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6609), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( _u6609 = 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), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6609)) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( _u6609 = 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), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6609), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6611) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6609 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6611) != 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)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6609), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6611) != 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), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6609)) )).
% 28.96/29.18 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6611) != 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), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6609), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u6612, _u6613)), hAPP(_u6612, _u6614))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6615, _u6615)), hAPP(hAPP(c_Product__Type_OPair(_u6615, _u6615), _u6613), _u6614)), c_Wellfounded_Omlex__prod(_u6615, _u6612, _u6616))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_range ( axiom ) converted to clauses:
% 28.96/29.18 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)), _u6617)) | 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(_u6617), _u6618))), _u6617)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6619)), hAPP(c_Nat_OSuc, _u6620)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6619))), 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)), _u6620))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6621)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6622)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6622))), 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), _u6621)), c_Int_Onat))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u6623, _u6624, _u6625, _u6626, hAPP(hAPP(c_Product__Type_OPair(_u6623, _u6624), _u6627), _u6628)) = hAPP(hAPP(_u6626, _u6627), _u6628)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_Ass ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_Ass-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u6629, _u6630, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u6629)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u6629), hAPP(hAPP(c_COMBC(_u6629, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u6629), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u6631)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u6632)), _u6633))), c_Com_Ocom_OAss(_u6632, _u6633)), _u6631)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u6629), tc_HOL_Obool)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_evaln__elim__cases_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_evaln__elim__cases_I2_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u6634, _u6635), _u6636, _u6637, _u6638) | ( _u6638 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6636), _u6634), hAPP(_u6635, _u6636))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_evaln_OAssign ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_evaln_OAssign-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u6639, _u6640), _u6641, _u6642, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6641), _u6639), hAPP(_u6640, _u6641))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_evalc_OAssign ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_evalc_OAssign-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u6643, _u6644)), _u6645), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6645), _u6643), hAPP(_u6644, _u6645)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_evalc__elim__cases_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_evalc__elim__cases_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u6646, _u6647)), _u6648), _u6649)) | ( _u6649 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6648), _u6646), hAPP(_u6647, _u6648))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6650), _u6651)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6652), _u6651)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6650), _u6652)), _u6651)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6653)), hAPP(c_Nat_OSuc, _u6654)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6653), _u6654))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6655) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6655), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6655), _u6656), _u6657)), _u6658) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6655), _u6656), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6655), _u6657), _u6658))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6659) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6659), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6659), _u6660), _u6661)), _u6662) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6659), _u6660), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6659), _u6661), _u6662))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6663) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6663), _u6664), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6663), _u6665), _u6666)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6663), _u6665), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6663), _u6664), _u6666))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6667) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6667), _u6668), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6667), _u6669), _u6670)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6667), _u6669), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6667), _u6668), _u6670))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6671) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6671), _u6672), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6671), _u6672), _u6673)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6671), _u6672), _u6673)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6674) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6674), _u6675), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6674), _u6675), _u6676)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6674), _u6675), _u6676)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6677) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6677), _u6678), _u6679) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6677), _u6679), _u6678)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6680) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6680), _u6681), _u6682) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6680), _u6682), _u6681)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6683) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6683), _u6684), _u6684) = _u6684) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u6685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6685), _u6686), _u6687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6685), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6685), _u6686), _u6688)), _u6687)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u6689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6689), _u6690), _u6691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6689), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6689), _u6692), _u6690)), _u6691)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u6693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6693), _u6695), _u6696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), _u6695)) )).
% 28.96/29.18 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u6693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6693), _u6695), _u6696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), _u6696)) )).
% 28.96/29.18 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u6693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), _u6695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), _u6696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6693), _u6695), _u6696))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6697), _u6698), _u6699)), _u6700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), _u6698), _u6700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), _u6699), _u6700)) )).
% 28.96/29.18 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6697), _u6698), _u6699)), _u6700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), _u6698), _u6700)) )).
% 28.96/29.18 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6697), _u6698), _u6699)), _u6700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), _u6699), _u6700)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6701) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6701), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6701), _u6702), _u6703)), _u6704) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6701), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6701), _u6702), _u6704)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6701), _u6703), _u6704))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6705), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6706) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6707) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6707), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6707), _u6708), _u6709)), _u6710) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6707), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6707), _u6708), _u6710)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6707), _u6709), _u6710))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u6711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6711), _u6712), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6711), _u6713), _u6714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6711), _u6712), _u6713)) )).
% 28.96/29.18 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u6711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6711), _u6712), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6711), _u6713), _u6714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6711), _u6712), _u6714)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6715), _u6716), _u6717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6715), _u6718), _u6719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6715), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6715), _u6716), _u6718)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6715), _u6717), _u6719))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u6720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6720), _u6721), _u6722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6720), _u6721), _u6723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6720), _u6721), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6720), _u6722), _u6723))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u6724) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6724), _u6725), _u6726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6724), _u6725), _u6727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6724), _u6725), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6724), _u6726), _u6727))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u6728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6728), _u6729), _u6730)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6728), _u6730), _u6729) = _u6729) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u6731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6731), _u6732), _u6733)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6731), _u6732), _u6733) = _u6732) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u6734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6734), _u6735), _u6736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6734), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6734), _u6737), _u6735)), _u6736)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u6738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6738), _u6739), _u6740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6738), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6738), _u6739), _u6741)), _u6740)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6742), _u6744), _u6745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), _u6744)) )).
% 28.96/29.18 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6742), _u6744), _u6745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), _u6745)) )).
% 28.96/29.18 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u6742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), _u6744)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), _u6745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6742), _u6744), _u6745))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u6746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6746), _u6747), _u6748)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6746), _u6747), _u6748) = _u6747) )).
% 28.96/29.18 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u6746) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6746), _u6747), _u6748) != _u6747) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6746), _u6747), _u6748)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u6749) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6749), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6749), _u6750), _u6751)), _u6751)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u6752) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6752), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6752), _u6753), _u6754)), _u6753)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6755) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6755), _u6756), _u6757)), _u6758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), _u6756), _u6758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), _u6757), _u6758)) )).
% 28.96/29.18 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6755) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6755), _u6756), _u6757)), _u6758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), _u6756), _u6758)) )).
% 28.96/29.18 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6755) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6755), _u6756), _u6757)), _u6758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), _u6757), _u6758)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u6759) | ~class_Orderings_Oord(_u6759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6759), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6759), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)) )).
% 28.96/29.18 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u6759) | ~class_Orderings_Oord(_u6759) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6759), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6759), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_evaln_Oequations_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_evaln_Oequations_I2_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u6762, _u6763), _u6764, _u6765, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6764), _u6762), hAPP(_u6763, _u6764))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_evalc_Oequations_I2_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_evalc_Oequations_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u6766, _u6767)), _u6768), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6768), _u6766), hAPP(_u6767, _u6768)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6769)), _u6770) = 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), _u6769)), _u6770)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6771), hAPP(c_Nat_OSuc, _u6772)) = 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)), _u6772)), _u6771)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_hoare__derivs_Oequations_I8_J ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_hoare__derivs_Oequations_I8_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u6773, _u6774, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u6773)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u6773), hAPP(hAPP(c_COMBC(_u6773, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u6773), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u6775)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u6776)), _u6777))), c_Com_Ocom_OAss(_u6776, _u6777)), _u6775)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u6773), tc_HOL_Obool)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u6778) | ( c_Orderings_Oord__class_Omin(_u6778) = c_Orderings_Oord_Omin(_u6778, c_Orderings_Oord__class_Oless__eq(_u6778))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u6787, _u6789), tc_prod(_u6787, _u6789))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u6787, _u6789), tc_prod(_u6787, _u6789)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6789), _u6791), _u6793)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6789), _u6795), _u6797))), c_Wellfounded_Olex__prod(_u6787, _u6789, _u6799, _u6801))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6787, _u6787)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6787), _u6791), _u6795)), _u6799)) | ( _u6791 = _u6795) )).
% 28.96/29.18 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u6787, _u6789), tc_prod(_u6787, _u6789))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u6787, _u6789), tc_prod(_u6787, _u6789)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6789), _u6791), _u6793)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6789), _u6795), _u6797))), c_Wellfounded_Olex__prod(_u6787, _u6789, _u6799, _u6801))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6787, _u6787)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6787), _u6791), _u6795)), _u6799)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6789, _u6789)), hAPP(hAPP(c_Product__Type_OPair(_u6789, _u6789), _u6793), _u6797)), _u6801)) )).
% 28.96/29.18 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u6788, _u6790), tc_prod(_u6788, _u6790))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u6788, _u6790), tc_prod(_u6788, _u6790)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6790), _u6792), _u6794)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6790), _u6796), _u6798))), c_Wellfounded_Olex__prod(_u6788, _u6790, _u6800, _u6802))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6788, _u6788)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6788), _u6792), _u6796)), _u6800)) )).
% 28.96/29.18 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u6788, _u6790), tc_prod(_u6788, _u6790))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u6788, _u6790), tc_prod(_u6788, _u6790)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6790), _u6792), _u6794)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6790), _u6796), _u6798))), c_Wellfounded_Olex__prod(_u6788, _u6790, _u6800, _u6802))) | ( _u6792 != _u6796) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6790, _u6790)), hAPP(hAPP(c_Product__Type_OPair(_u6790, _u6790), _u6794), _u6798)), _u6802)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 28.96/29.18 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), _u6803)), hAPP(c_Nat_OSuc, _u6804)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6803))), 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, _u6804))), 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)), _u6804))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6805)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6806)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6806))), 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, _u6805))), 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), _u6805)), c_Int_Onat))))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6807, _u6808, _u6809, _u6810), hAPP(c_Product__Type_Oapsnd(_u6811, _u6809, _u6807, _u6812), _u6813)) = hAPP(hAPP(c_Product__Type_OPair(_u6808, _u6809), hAPP(_u6810, hAPP(c_Product__Type_Ofst(_u6807, _u6811), _u6813))), hAPP(_u6812, hAPP(c_Product__Type_Osnd(_u6807, _u6811), _u6813)))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u6814) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6814), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6814), _u6815), _u6816)), _u6817) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6814), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6814), _u6815), _u6817)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6814), _u6816), _u6817))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u6818) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6818), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6818), _u6819), _u6820)), _u6821) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6818), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6818), _u6819), _u6821)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6818), _u6820), _u6821))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u6822) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6822), _u6823), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6822), _u6824), _u6825)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6822), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6822), _u6823), _u6824)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6822), _u6823), _u6825))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u6826) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6826), _u6827), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6826), _u6828), _u6829)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6826), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6826), _u6827), _u6828)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6826), _u6827), _u6829))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u6830) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6830), _u6831), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6830), _u6831), _u6832)) = _u6831) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u6833) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6833), _u6834), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6833), _u6834), _u6835)) = _u6834) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6836), _u6838), _u6839))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), _u6838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), _u6839)) )).
% 28.96/29.18 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6836) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6836), _u6838), _u6839))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), _u6838)) )).
% 28.96/29.18 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6836) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6836), _u6838), _u6839))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), _u6839)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u6840) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6840), _u6841), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6840), _u6841), _u6842))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u6843) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6843), _u6844), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6843), _u6845), _u6844))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u6846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6846), _u6847), _u6848)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6846), _u6847), _u6848) = _u6848) )).
% 28.96/29.18 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u6846) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6846), _u6847), _u6848) != _u6848) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6846), _u6847), _u6848)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6849), _u6850), _u6851)), _u6852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), _u6850), _u6852)) )).
% 28.96/29.18 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6849), _u6850), _u6851)), _u6852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), _u6851), _u6852)) )).
% 28.96/29.18 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u6849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), _u6850), _u6852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), _u6851), _u6852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6849), _u6850), _u6851)), _u6852)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u6853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6853), _u6854), _u6855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6853), _u6854), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6853), _u6855), _u6856))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u6857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6857), _u6858), _u6859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6857), _u6858), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6857), _u6860), _u6859))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u6861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6861), _u6862), _u6863)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6861), _u6862), _u6863) = _u6863) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u6864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6864), _u6865), _u6866)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6864), _u6866), _u6865) = _u6866) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u6867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6867), _u6868), _u6869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6867), _u6870), _u6869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6867), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6867), _u6868), _u6870)), _u6869)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u6871) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6871), _u6872), _u6873)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6871), _u6874), _u6873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6871), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6871), _u6872), _u6874)), _u6873)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6875), _u6876), _u6877)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6875), _u6878), _u6879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6875), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6875), _u6876), _u6878)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6875), _u6877), _u6879))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u6880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6880), _u6881), _u6882)), _u6883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), _u6881), _u6883)) )).
% 28.96/29.18 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u6880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6880), _u6881), _u6882)), _u6883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), _u6882), _u6883)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6884) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6884), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6884), _u6885), _u6886)), _u6887) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6884), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6884), _u6885), _u6887)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6884), _u6886), _u6887))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6888) = _u6888) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6889), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6889) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6890)), hAPP(c_Nat_OSuc, _u6891)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6890), _u6891))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6892) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6892), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6892), _u6893), _u6894)), _u6895) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6892), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6892), _u6893), _u6895)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6892), _u6894), _u6895))) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u6896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6896), _u6897), _u6898)), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), _u6897), _u6899)) )).
% 28.96/29.18 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u6896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6896), _u6897), _u6898)), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), _u6898), _u6899)) )).
% 28.96/29.18 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u6896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), _u6897), _u6899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), _u6898), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6896), _u6897), _u6898)), _u6899)) )).
% 28.96/29.18
% 28.96/29.18 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 28.96/29.18 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u6900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6900), _u6902), _u6903))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), _u6902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), _u6903)) )).
% 28.96/29.19 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u6900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6900), _u6902), _u6903))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), _u6902)) )).
% 28.96/29.19 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u6900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6900), _u6902), _u6903))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), _u6903)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u6904) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6904), _u6905), _u6906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6904), _u6905), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6904), _u6907), _u6906))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u6908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6908), _u6909), _u6910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6908), _u6909), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6908), _u6910), _u6911))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6912) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6912), _u6913), _u6913) = _u6913) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6914) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6914), _u6915), _u6916) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6914), _u6916), _u6915)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6917) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6917), _u6918), _u6919) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6917), _u6919), _u6918)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6920) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6920), _u6921), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6920), _u6921), _u6922)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6920), _u6921), _u6922)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6923) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6923), _u6924), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6923), _u6924), _u6925)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6923), _u6924), _u6925)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6926) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6926), _u6927), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6926), _u6928), _u6929)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6926), _u6928), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6926), _u6927), _u6929))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6930) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6930), _u6931), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6930), _u6932), _u6933)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6930), _u6932), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6930), _u6931), _u6933))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6934) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6934), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6934), _u6935), _u6936)), _u6937) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6934), _u6935), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6934), _u6936), _u6937))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6938) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6938), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6938), _u6939), _u6940)), _u6941) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6938), _u6939), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6938), _u6940), _u6941))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6942, _u6943, _u6944, _u6945), hAPP(hAPP(c_Product__Type_OPair(_u6942, _u6944), _u6946), _u6947)) = hAPP(hAPP(c_Product__Type_OPair(_u6943, _u6944), hAPP(_u6945, _u6946)), _u6947)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6948, _u6949, _u6950, _u6951), hAPP(c_Product__Type_Oapfst(_u6952, _u6948, _u6950, _u6953), _u6954)) = hAPP(c_Product__Type_Oapfst(_u6952, _u6949, _u6950, hAPP(c_Fun_Ocomp(_u6948, _u6949, _u6952, _u6951), _u6953)), _u6954)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u6955, _u6956), hAPP(c_Product__Type_Oapfst(_u6957, _u6955, _u6956, _u6958), _u6959)) = hAPP(_u6958, hAPP(c_Product__Type_Ofst(_u6957, _u6956), _u6959))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u6966, _u6968, _u6970, _u6972), _u6974) != hAPP(c_Product__Type_Oapfst(_u6966, _u6968, _u6970, _u6976), _u6974)) | ( hAPP(_u6972, hAPP(c_Product__Type_Ofst(_u6966, _u6970), _u6974)) = hAPP(_u6976, hAPP(c_Product__Type_Ofst(_u6966, _u6970), _u6974))) )).
% 28.96/29.19 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u6973, hAPP(c_Product__Type_Ofst(_u6967, _u6971), _u6975)) != hAPP(_u6977, hAPP(c_Product__Type_Ofst(_u6967, _u6971), _u6975))) | ( hAPP(c_Product__Type_Oapfst(_u6967, _u6969, _u6971, _u6973), _u6975) = hAPP(c_Product__Type_Oapfst(_u6967, _u6969, _u6971, _u6977), _u6975)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u6978, _u6979), hAPP(c_Product__Type_Oapfst(_u6980, _u6978, _u6979, _u6981), _u6982)) = hAPP(c_Product__Type_Osnd(_u6980, _u6979), _u6982)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u6983) | ~class_Orderings_Oord(_u6983) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6983), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6983), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985)) )).
% 28.96/29.19 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u6983) | ~class_Orderings_Oord(_u6983) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6983), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6983), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u6986) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6986), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6986), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), _u6988)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), _u6989))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6986), _u6988), _u6989)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u6990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6990), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6990), _u6991), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6990), _u6992), _u6993))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6990), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6990), _u6991), _u6992)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6990), _u6991), _u6993)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6994) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6994), _u6995), _u6996)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6994), hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), _u6995)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), _u6996))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6997) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6997), _u6998), _u6999)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6997), hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), _u6998)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), _u6999))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7000), _u7001)), _u7001) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7000), _u7001)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u7002, _u7003, _u7004, _u7005), hAPP(c_Product__Type_Oapfst(_u7006, _u7004, _u7002, _u7007), _u7008)) = hAPP(c_Product__Type_Oapfst(_u7006, _u7004, _u7003, _u7007), hAPP(c_Product__Type_Oapsnd(_u7002, _u7003, _u7006, _u7005), _u7008))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7009), hAPP(c_Nat_OSuc, _u7010)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7010), 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)), _u7010)), _u7009)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7011)), _u7012) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7011), 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), _u7011)), _u7012)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u7013, _u7014, _u7015, _u7016), hAPP(c_Product__Type_Oapfst(_u7017, _u7015, _u7013, _u7018), _u7019)) = hAPP(hAPP(c_Product__Type_OPair(_u7015, _u7014), hAPP(_u7018, hAPP(c_Product__Type_Ofst(_u7017, _u7013), _u7019))), hAPP(_u7016, hAPP(c_Product__Type_Osnd(_u7017, _u7013), _u7019)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u7020) | ( c_Orderings_Oord_Omin(_u7020, hAPP(c_COMBC(_u7020, _u7020, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7020))) = c_Orderings_Oord__class_Omax(_u7020)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u7021, _u7022)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7023, _u7023)), hAPP(hAPP(c_Product__Type_OPair(_u7023, _u7023), _u7024), _u7025)), hAPP(_u7026, _u7022))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7027, _u7023), tc_prod(_u7027, _u7023))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7027, _u7023), tc_prod(_u7027, _u7023)), hAPP(hAPP(c_Product__Type_OPair(_u7027, _u7023), _u7022), _u7024)), hAPP(hAPP(c_Product__Type_OPair(_u7027, _u7023), _u7022), _u7025))), c_Recdef_Osame__fst(_u7027, _u7023, _u7021, _u7026))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u7028) | ( c_Orderings_Oord__class_Omax(_u7028) = c_Orderings_Oord_Omax(_u7028, c_Orderings_Oord__class_Oless__eq(_u7028))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7029), _u7030)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7031), _u7032)) | 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), _u7029), _u7031)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7030), _u7032))), c_FunDef_Opair__less)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7038 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7038 = hAPP(c_Nat_OSuc, skolem103(_u7039, _u7038, _u7037, _u7036, _u7035))) )).
% 28.96/29.19 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7038 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), skolem102(_u7039, _u7038, _u7037, _u7036, _u7035))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), skolem103(_u7039, _u7038, _u7037, _u7036, _u7035)), _u7039))) )).
% 28.96/29.19 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7038 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), skolem102(_u7039, _u7038, _u7037, _u7036, _u7035)), _u7037)), _u7039)) )).
% 28.96/29.19 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7036 = _u7037) | ( _u7038 = hAPP(c_Nat_OSuc, skolem103(_u7039, _u7038, _u7037, _u7036, _u7035))) )).
% 28.96/29.19 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7036 = _u7037) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), skolem102(_u7039, _u7038, _u7037, _u7036, _u7035))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), skolem103(_u7039, _u7038, _u7037, _u7036, _u7035)), _u7039))) )).
% 28.96/29.19 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7036 = _u7037) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), skolem102(_u7039, _u7038, _u7037, _u7036, _u7035)), _u7037)), _u7039)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u7040) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7040), _u7041), _u7041) = _u7041) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u7042) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7042), _u7043), _u7043) = _u7043) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u7044) | ( c_Orderings_Oord_Omax(_u7044, hAPP(c_COMBC(_u7044, _u7044, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7044))) = c_Orderings_Oord__class_Omin(_u7044)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7045), _u7046)) | 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), _u7045), _u7047)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7046), _u7048))), c_FunDef_Opair__less)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7049), _u7050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7051), _u7052)) | 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), _u7049), _u7051)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7050), _u7052))), c_FunDef_Opair__leq)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7053), _u7054)) | ~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)), _u7055), _u7053)), 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)), _u7056), _u7054)), 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)), _u7055), _u7056)), _u7054)), c_FunDef_Omax__strict)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7057), _u7058)) | ~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)), _u7057), _u7059)), 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)), _u7058), _u7060)), 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)), _u7058), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7059), _u7060))), c_FunDef_Omin__strict)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7061), _u7062)) | 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), _u7061), _u7063)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7062), _u7064))), c_FunDef_Opair__leq)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7069), _u7071)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7073), _u7075))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7069), _u7075) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7073), _u7071)) )).
% 28.96/29.19 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7070), _u7076) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7074), _u7072)) | 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), _u7070), _u7072)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7074), _u7076))), c_Int_Ointrel)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_smin__emptyI-1, axiom, ( ( _u7077 = 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)), _u7077), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7078), _u7079)) | ~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)), _u7078), _u7080)), 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)), _u7079), _u7081)), 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)), _u7079), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7080), _u7081))), c_FunDef_Omin__weak)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7082), _u7083)) | ~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)), _u7084), _u7082)), 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)), _u7085), _u7083)), 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)), _u7084), _u7085)), _u7083)), c_FunDef_Omax__weak)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u7086), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 28.96/29.19 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)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7089), _u7091)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7089), _u7091)) )).
% 28.96/29.19 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7090), _u7092)) | 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), _u7090), _u7092)), c_Wellfounded_Oless__than)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 28.96/29.19 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)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u7093, _u7094, _u7095) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u7093), _u7093), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u7093, c_Wellfounded_Oless__than, _u7095)), hAPP(hAPP(c_COMBS(_u7093, _u7093, tc_prod(tc_Nat_Onat, _u7093)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u7093, tc_prod(tc_Nat_Onat, _u7093)), _u7093), c_Product__Type_OPair(tc_Nat_Onat, _u7093)), _u7094)), c_COMBI(_u7093)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 28.96/29.19 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))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 28.96/29.19 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)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 28.96/29.19 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)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7101 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7101 = hAPP(c_Nat_OSuc, skolem105(_u7102, _u7101, _u7100, _u7099, _u7098))) )).
% 28.96/29.19 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7101 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), skolem104(_u7102, _u7101, _u7100, _u7099, _u7098))), _u7102)) )).
% 28.96/29.19 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7101 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), skolem104(_u7102, _u7101, _u7100, _u7099, _u7098)), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), skolem105(_u7102, _u7101, _u7100, _u7099, _u7098)), _u7102))) )).
% 28.96/29.19 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7099 = _u7100) | ( _u7101 = hAPP(c_Nat_OSuc, skolem105(_u7102, _u7101, _u7100, _u7099, _u7098))) )).
% 28.96/29.19 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7099 = _u7100) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), skolem104(_u7102, _u7101, _u7100, _u7099, _u7098))), _u7102)) )).
% 28.96/29.19 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7099 = _u7100) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), skolem104(_u7102, _u7101, _u7100, _u7099, _u7098)), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), skolem105(_u7102, _u7101, _u7100, _u7099, _u7098)), _u7102))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u7104, _u7106)) | hBOOL(hAPP(_u7105, _u7106)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7103, tc_HOL_Obool)), _u7104), _u7105), _u7106)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7110, tc_HOL_Obool)), _u7109), _u7107), _u7108)) | ~hBOOL(hAPP(_u7107, _u7108)) )).
% 28.96/29.19 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7110, tc_HOL_Obool)), _u7109), _u7107), _u7108)) | ~hBOOL(hAPP(_u7109, _u7108)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UnE ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7111, tc_HOL_Obool)), _u7113), _u7114))) | hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), _u7113)) | hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), _u7114)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7115, tc_HOL_Obool)), _u7118), _u7117))) | ~hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), _u7117)) )).
% 28.96/29.19 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7115, tc_HOL_Obool)), _u7118), _u7117))) | ~hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), _u7118)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7122, tc_HOL_Obool)), _u7124), _u7126) != c_Orderings_Obot__class_Obot(tc_fun(_u7122, tc_HOL_Obool))) | ( _u7124 = c_Orderings_Obot__class_Obot(tc_fun(_u7122, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7122, tc_HOL_Obool)), _u7124), _u7126) != c_Orderings_Obot__class_Obot(tc_fun(_u7122, tc_HOL_Obool))) | ( _u7126 = c_Orderings_Obot__class_Obot(tc_fun(_u7122, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_Un__empty-3, axiom, ( ( _u7125 != c_Orderings_Obot__class_Obot(tc_fun(_u7123, tc_HOL_Obool))) | ( _u7127 != c_Orderings_Obot__class_Obot(tc_fun(_u7123, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7123, tc_HOL_Obool)), _u7125), _u7127) = c_Orderings_Obot__class_Obot(tc_fun(_u7123, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7128, tc_HOL_Obool)), _u7129), c_Orderings_Obot__class_Obot(tc_fun(_u7128, tc_HOL_Obool))) = _u7129) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7130, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7130, tc_HOL_Obool))), _u7131) = _u7131) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u7132) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7132), c_Orderings_Obot__class_Obot(_u7132)), _u7133) = _u7133) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u7134) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7134), _u7135), c_Orderings_Obot__class_Obot(_u7134)) = _u7135) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u7136) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7136), _u7137), _u7138) != c_Orderings_Obot__class_Obot(_u7136)) | ( _u7137 = c_Orderings_Obot__class_Obot(_u7136)) )).
% 28.96/29.19 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u7136) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7136), _u7137), _u7138) != c_Orderings_Obot__class_Obot(_u7136)) | ( _u7138 = c_Orderings_Obot__class_Obot(_u7136)) )).
% 28.96/29.19 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u7136) | ( _u7137 != c_Orderings_Obot__class_Obot(_u7136)) | ( _u7138 != c_Orderings_Obot__class_Obot(_u7136)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7136), _u7137), _u7138) = c_Orderings_Obot__class_Obot(_u7136)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7139) | ~class_Orderings_Olinorder(_u7139) | ( c_Lattices_Osemilattice__sup__class_Osup(_u7139) = c_Orderings_Oord__class_Omax(_u7139)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u7140) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7140), _u7141), _u7141) = _u7141) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7142, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7142, tc_HOL_Obool)), _u7143), _u7144)), _u7145) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7142, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7142, tc_HOL_Obool)), _u7143), _u7145)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7142, tc_HOL_Obool)), _u7144), _u7145))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7146, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7146, tc_HOL_Obool)), _u7147), _u7148)), _u7148) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7146, tc_HOL_Obool)), _u7147), _u7148)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7149, tc_HOL_Obool)), _u7150), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7149, tc_HOL_Obool)), _u7151), _u7150)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7149, tc_HOL_Obool)), _u7150), _u7151)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u7152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7152), _u7153), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7152), _u7153), _u7154))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7155), _u7156), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7155), _u7156), _u7157))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u7158) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7158), _u7159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7158), _u7160), _u7159))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7161), _u7162), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7161), _u7163), _u7162))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7164), _u7165), _u7166)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7164), _u7165), _u7166) = _u7166) )).
% 28.96/29.19 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u7164) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7164), _u7165), _u7166) != _u7166) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7164), _u7165), _u7166)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7167), _u7168), _u7169)), _u7170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), _u7168), _u7170)) )).
% 28.96/29.19 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u7167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7167), _u7168), _u7169)), _u7170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), _u7169), _u7170)) )).
% 28.96/29.19 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u7167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), _u7168), _u7170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), _u7169), _u7170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7167), _u7168), _u7169)), _u7170)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7171), _u7172), _u7173)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7171), _u7172), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7171), _u7173), _u7174))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7175), _u7176), _u7177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7175), _u7176), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7175), _u7178), _u7177))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7179), _u7180), _u7181)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7179), _u7180), _u7181) = _u7181) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7182), _u7183), _u7184)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7182), _u7184), _u7183) = _u7184) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7185), _u7186), _u7187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7185), _u7188), _u7187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7185), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7185), _u7186), _u7188)), _u7187)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7189), _u7190), _u7191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7189), _u7192), _u7191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7189), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7189), _u7190), _u7192)), _u7191)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7193), _u7194), _u7195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7193), _u7196), _u7197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7193), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7193), _u7194), _u7196)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7193), _u7195), _u7197))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7198), _u7199), _u7200)), _u7201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7198), _u7199), _u7201)) )).
% 28.96/29.19 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u7198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7198), _u7199), _u7200)), _u7201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7198), _u7200), _u7201)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u7202, _u7203)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7204, tc_HOL_Obool)), _u7202), _u7205), _u7203)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u7206, _u7207)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7208, tc_HOL_Obool)), _u7209), _u7206), _u7207)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7210, tc_HOL_Obool)), _u7211), _u7212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7210, tc_HOL_Obool)), _u7213), _u7214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7210, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7210, tc_HOL_Obool)), _u7211), _u7213)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7210, tc_HOL_Obool)), _u7212), _u7214))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), _u7216), _u7217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), _u7218), _u7217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7215, tc_HOL_Obool)), _u7216), _u7218)), _u7217)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7219, tc_HOL_Obool)), _u7220), _u7221)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7219, tc_HOL_Obool)), _u7221), _u7220) = _u7221) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7222, tc_HOL_Obool)), _u7223), _u7224)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7222, tc_HOL_Obool)), _u7223), _u7224) = _u7224) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7228, tc_HOL_Obool)), _u7230), _u7232)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7228, tc_HOL_Obool)), _u7230), _u7232) = _u7232) )).
% 28.96/29.19 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7229, tc_HOL_Obool)), _u7231), _u7233) != _u7233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7229, tc_HOL_Obool)), _u7231), _u7233)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7234, tc_HOL_Obool)), _u7235), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7234, tc_HOL_Obool)), _u7236), _u7235))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7237, tc_HOL_Obool)), _u7238), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7237, tc_HOL_Obool)), _u7238), _u7239))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7240), _u7241), _u7242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7240), _u7241), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7240), _u7243), _u7242))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7244), _u7245), _u7246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7244), _u7245), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7244), _u7246), _u7247))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7248, tc_HOL_Obool)), _u7249), _u7249) = _u7249) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7250, tc_HOL_Obool)), _u7251), _u7252) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7250, tc_HOL_Obool)), _u7252), _u7251)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7253, tc_HOL_Obool)), _u7254), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7253, tc_HOL_Obool)), _u7254), _u7255)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7253, tc_HOL_Obool)), _u7254), _u7255)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7256, tc_HOL_Obool)), _u7257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7256, tc_HOL_Obool)), _u7258), _u7259)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7256, tc_HOL_Obool)), _u7258), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7256, tc_HOL_Obool)), _u7257), _u7259))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7260, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7260, tc_HOL_Obool)), _u7261), _u7262)), _u7263) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7260, tc_HOL_Obool)), _u7261), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7260, tc_HOL_Obool)), _u7262), _u7263))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7274), _u7264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7274, tc_HOL_Obool)), _u7276), _u7278))) | ~hBOOL(hAPP(_u7280, _u7264)) | hBOOL(hAPP(hAPP(c_member(_u7274), skolem106(_u7280, _u7278, _u7276, _u7274)), _u7276)) | hBOOL(hAPP(hAPP(c_member(_u7274), skolem107(_u7280, _u7278, _u7276, _u7274)), _u7278)) )).
% 28.96/29.19 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7274), _u7264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7274, tc_HOL_Obool)), _u7276), _u7278))) | ~hBOOL(hAPP(_u7280, _u7264)) | hBOOL(hAPP(hAPP(c_member(_u7274), skolem106(_u7280, _u7278, _u7276, _u7274)), _u7276)) | hBOOL(hAPP(_u7280, skolem107(_u7280, _u7278, _u7276, _u7274))) )).
% 28.96/29.19 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7274), _u7264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7274, tc_HOL_Obool)), _u7276), _u7278))) | ~hBOOL(hAPP(_u7280, _u7264)) | hBOOL(hAPP(_u7280, skolem106(_u7280, _u7278, _u7276, _u7274))) | hBOOL(hAPP(hAPP(c_member(_u7274), skolem107(_u7280, _u7278, _u7276, _u7274)), _u7278)) )).
% 28.96/29.19 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7274), _u7264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7274, tc_HOL_Obool)), _u7276), _u7278))) | ~hBOOL(hAPP(_u7280, _u7264)) | hBOOL(hAPP(_u7280, skolem106(_u7280, _u7278, _u7276, _u7274))) | hBOOL(hAPP(_u7280, skolem107(_u7280, _u7278, _u7276, _u7274))) )).
% 28.96/29.19 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7275), _u7267), _u7277)) | ~hBOOL(hAPP(_u7281, _u7267)) | hBOOL(hAPP(hAPP(c_member(_u7275), skolem108(_u7281, _u7279, _u7277, _u7275)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7275, tc_HOL_Obool)), _u7277), _u7279))) )).
% 28.96/29.19 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7275), _u7267), _u7277)) | ~hBOOL(hAPP(_u7281, _u7267)) | hBOOL(hAPP(_u7281, skolem108(_u7281, _u7279, _u7277, _u7275))) )).
% 28.96/29.19 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7275), _u7268), _u7279)) | ~hBOOL(hAPP(_u7281, _u7268)) | hBOOL(hAPP(hAPP(c_member(_u7275), skolem108(_u7281, _u7279, _u7277, _u7275)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7275, tc_HOL_Obool)), _u7277), _u7279))) )).
% 28.96/29.19 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7275), _u7268), _u7279)) | ~hBOOL(hAPP(_u7281, _u7268)) | hBOOL(hAPP(_u7281, skolem108(_u7281, _u7279, _u7277, _u7275))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7292), skolem109(_u7298, _u7296, _u7294, _u7292)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7292, tc_HOL_Obool)), _u7294), _u7296))) | ~hBOOL(hAPP(hAPP(c_member(_u7292), _u7283), _u7294)) | hBOOL(hAPP(_u7298, _u7283)) )).
% 28.96/29.19 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7292), skolem109(_u7298, _u7296, _u7294, _u7292)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7292, tc_HOL_Obool)), _u7294), _u7296))) | ~hBOOL(hAPP(hAPP(c_member(_u7292), _u7284), _u7296)) | hBOOL(hAPP(_u7298, _u7284)) )).
% 28.96/29.19 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u7298, skolem109(_u7298, _u7296, _u7294, _u7292))) | ~hBOOL(hAPP(hAPP(c_member(_u7292), _u7283), _u7294)) | hBOOL(hAPP(_u7298, _u7283)) )).
% 28.96/29.19 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u7298, skolem109(_u7298, _u7296, _u7294, _u7292))) | ~hBOOL(hAPP(hAPP(c_member(_u7292), _u7284), _u7296)) | hBOOL(hAPP(_u7298, _u7284)) )).
% 28.96/29.19 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7293), _u7287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7295), _u7297))) | hBOOL(hAPP(_u7299, _u7287)) | hBOOL(hAPP(hAPP(c_member(_u7293), skolem110(_u7299, _u7297, _u7295, _u7293)), _u7295)) | hBOOL(hAPP(hAPP(c_member(_u7293), skolem111(_u7299, _u7297, _u7295, _u7293)), _u7297)) )).
% 28.96/29.19 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7293), _u7287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7295), _u7297))) | hBOOL(hAPP(_u7299, _u7287)) | hBOOL(hAPP(hAPP(c_member(_u7293), skolem110(_u7299, _u7297, _u7295, _u7293)), _u7295)) | ~hBOOL(hAPP(_u7299, skolem111(_u7299, _u7297, _u7295, _u7293))) )).
% 28.96/29.19 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7293), _u7287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7295), _u7297))) | hBOOL(hAPP(_u7299, _u7287)) | ~hBOOL(hAPP(_u7299, skolem110(_u7299, _u7297, _u7295, _u7293))) | hBOOL(hAPP(hAPP(c_member(_u7293), skolem111(_u7299, _u7297, _u7295, _u7293)), _u7297)) )).
% 28.96/29.19 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7293), _u7287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7295), _u7297))) | hBOOL(hAPP(_u7299, _u7287)) | ~hBOOL(hAPP(_u7299, skolem110(_u7299, _u7297, _u7295, _u7293))) | ~hBOOL(hAPP(_u7299, skolem111(_u7299, _u7297, _u7295, _u7293))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7300) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7300), _u7301), _u7301) = _u7301) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7302) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7302), _u7303), _u7303) = _u7303) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7304) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7304), _u7305), _u7306) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7304), _u7306), _u7305)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u7307) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7307), _u7308), _u7309) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7307), _u7309), _u7308)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7310) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7310), _u7311), _u7312) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7310), _u7312), _u7311)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7313) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7313), _u7314), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7313), _u7314), _u7315)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7313), _u7314), _u7315)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u7316) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7316), _u7317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7316), _u7317), _u7318)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7316), _u7317), _u7318)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7319) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7319), _u7320), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7319), _u7320), _u7321)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7319), _u7320), _u7321)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7322) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7322), _u7323), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7322), _u7324), _u7325)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7322), _u7324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7322), _u7323), _u7325))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u7326) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7326), _u7327), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7326), _u7328), _u7329)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7326), _u7328), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7326), _u7327), _u7329))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7330) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7330), _u7331), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7330), _u7332), _u7333)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7330), _u7332), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7330), _u7331), _u7333))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7334) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7334), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7334), _u7335), _u7336)), _u7337) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7334), _u7335), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7334), _u7336), _u7337))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u7338) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7338), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7338), _u7339), _u7340)), _u7341) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7338), _u7339), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7338), _u7340), _u7341))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7342) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7342), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7342), _u7343), _u7344)), _u7345) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7342), _u7343), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7342), _u7344), _u7345))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u7346) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7347, _u7346)), _u7348), _u7349), _u7350) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7346), hAPP(_u7348, _u7350)), hAPP(_u7349, _u7350))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u7351) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7352, _u7351)), _u7353), _u7354), _u7355) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7351), hAPP(_u7353, _u7355)), hAPP(_u7354, _u7355))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7356, tc_HOL_Obool)), _u7357), hAPP(hAPP(c_Set_Oinsert(_u7356), _u7358), _u7359)) = hAPP(hAPP(c_Set_Oinsert(_u7356), _u7358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7356, tc_HOL_Obool)), _u7357), _u7359))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7360, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7360), _u7361), _u7362)), _u7363) = hAPP(hAPP(c_Set_Oinsert(_u7360), _u7361), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7360, tc_HOL_Obool)), _u7362), _u7363))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7368), _u7370), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7368, tc_HOL_Obool)), _u7372), _u7374))) | hBOOL(hAPP(hAPP(c_member(_u7368), _u7370), _u7372)) | hBOOL(hAPP(hAPP(c_member(_u7368), _u7370), _u7374)) )).
% 28.96/29.19 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7369), _u7371), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7369, tc_HOL_Obool)), _u7373), _u7375))) | ~hBOOL(hAPP(hAPP(c_member(_u7369), _u7371), _u7373)) )).
% 28.96/29.19 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7369), _u7371), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7369, tc_HOL_Obool)), _u7373), _u7375))) | ~hBOOL(hAPP(hAPP(c_member(_u7369), _u7371), _u7375)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7376), _u7377), _u7378)) | hBOOL(hAPP(hAPP(c_member(_u7376), _u7377), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7376, tc_HOL_Obool)), _u7378), _u7379))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7380), _u7381), _u7382)) | hBOOL(hAPP(hAPP(c_member(_u7380), _u7381), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7380, tc_HOL_Obool)), _u7383), _u7382))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7388, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7388, tc_fun(_u7388, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7388)), _u7390)), hAPP(hAPP(c_COMBC(_u7388, tc_fun(_u7388, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7388)), _u7392)), _u7394)) | hBOOL(hAPP(hAPP(c_member(_u7388), _u7394), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7388, tc_HOL_Obool)), _u7390), _u7392))) )).
% 28.96/29.19 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7389), _u7395), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7389, tc_HOL_Obool)), _u7391), _u7393))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7389, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7389, tc_fun(_u7389, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7389)), _u7391)), hAPP(hAPP(c_COMBC(_u7389, tc_fun(_u7389, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7389)), _u7393)), _u7395)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u7396), _u7397), _u7398) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7396, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7396), _u7397), c_Orderings_Obot__class_Obot(tc_fun(_u7396, tc_HOL_Obool)))), _u7398)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7403, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7403, tc_HOL_Obool)), _u7405), _u7407)), _u7409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7403, tc_HOL_Obool)), _u7405), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7403, tc_HOL_Obool)), _u7407), _u7409))) )).
% 28.96/29.19 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7404, tc_HOL_Obool)), _u7406), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7404, tc_HOL_Obool)), _u7408), _u7410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7404, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7404, tc_HOL_Obool)), _u7406), _u7408)), _u7410)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7411, tc_HOL_Obool)), _u7412), _u7413)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7411, tc_HOL_Obool)), _u7412), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7411, tc_HOL_Obool)), _u7413), _u7412)) = _u7413) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7414, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7414, tc_HOL_Obool)), _u7415), _u7416)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7414, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7414, tc_HOL_Obool)), _u7415)), _u7416)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 28.96/29.19 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))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u7417, _u7418) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))))), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool)), c_COMBS(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)), tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))), tc_fun(_u7418, _u7417)), c_Product__Type_OPair(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), c_Relation_Oinv__image(_u7417, _u7418))))), c_Relation_Oinv__image(_u7417, _u7418)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u7431, _u7431)), hAPP(hAPP(c_Product__Type_OPair(_u7431, _u7431), hAPP(_u7435, _u7427)), hAPP(_u7435, _u7429))), _u7433)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7425, _u7425)), hAPP(hAPP(c_Product__Type_OPair(_u7425, _u7425), _u7427), _u7429)), hAPP(hAPP(c_Relation_Oinv__image(_u7431, _u7425), _u7433), _u7435))) )).
% 28.96/29.19 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7432, _u7432)), hAPP(hAPP(c_Product__Type_OPair(_u7432, _u7432), hAPP(_u7436, _u7428)), hAPP(_u7436, _u7430))), _u7434)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7426, _u7426)), hAPP(hAPP(c_Product__Type_OPair(_u7426, _u7426), _u7428), _u7430)), hAPP(hAPP(c_Relation_Oinv__image(_u7432, _u7426), _u7434), _u7436))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u7437, _u7438) | c_FunDef_Oreduction__pair(_u7439, hAPP(hAPP(c_FunDef_Orp__inv__image(_u7437, _u7439), _u7438), _u7440)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_escape ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_escape-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7444, _u7445, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7444)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7444), _u7443), _u7446), _u7447)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7444), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u7443, skolem112(_u7447, _u7446, _u7445, _u7444, _u7443)), skolem113(_u7447, _u7446, _u7445, _u7444, _u7443))) )).
% 28.96/29.19 cnf(fact_escape-2, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7444, _u7445, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7444)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7444), _u7443), _u7446), _u7447)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7444), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7444, _u7445, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7444)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7444), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7444), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem113(_u7447, _u7446, _u7445, _u7444, _u7443)))), _u7446), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7444), hAPP(_u7447, skolem112(_u7447, _u7446, _u7445, _u7444, _u7443))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7444), tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7454, tc_fun(_u7456, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7454, tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_fun(_u7456, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7456, tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_fun(_u7456, tc_HOL_Obool)), _u7454), c_COMBC(_u7456, tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7456, tc_prod(_u7454, _u7456)), tc_fun(_u7456, tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), _u7454), hAPP(c_COMBB(tc_prod(_u7454, _u7456), tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool), _u7456), c_member(tc_prod(_u7454, _u7456)))), c_Product__Type_OPair(_u7454, _u7456)))), _u7458)), hAPP(hAPP(c_COMBC(_u7454, tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_fun(_u7456, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7456, tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_fun(_u7456, tc_HOL_Obool)), _u7454), c_COMBC(_u7456, tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7456, tc_prod(_u7454, _u7456)), tc_fun(_u7456, tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), _u7454), hAPP(c_COMBB(tc_prod(_u7454, _u7456), tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool), _u7456), c_member(tc_prod(_u7454, _u7456)))), c_Product__Type_OPair(_u7454, _u7456)))), _u7460)), _u7462), _u7464)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7454, _u7456)), hAPP(hAPP(c_Product__Type_OPair(_u7454, _u7456), _u7462), _u7464)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool)), _u7458), _u7460))) )).
% 28.96/29.19 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7455, _u7457)), hAPP(hAPP(c_Product__Type_OPair(_u7455, _u7457), _u7463), _u7465)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool)), _u7459), _u7461))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7455, tc_fun(_u7457, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7455, tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_fun(_u7457, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7457, tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_fun(_u7457, tc_HOL_Obool)), _u7455), c_COMBC(_u7457, tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7457, tc_prod(_u7455, _u7457)), tc_fun(_u7457, tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), _u7455), hAPP(c_COMBB(tc_prod(_u7455, _u7457), tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool), _u7457), c_member(tc_prod(_u7455, _u7457)))), c_Product__Type_OPair(_u7455, _u7457)))), _u7459)), hAPP(hAPP(c_COMBC(_u7455, tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_fun(_u7457, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7457, tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_fun(_u7457, tc_HOL_Obool)), _u7455), c_COMBC(_u7457, tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7457, tc_prod(_u7455, _u7457)), tc_fun(_u7457, tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), _u7455), hAPP(c_COMBB(tc_prod(_u7455, _u7457), tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool), _u7457), c_member(tc_prod(_u7455, _u7457)))), c_Product__Type_OPair(_u7455, _u7457)))), _u7461)), _u7463), _u7465)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 28.96/29.19 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)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u7466) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u7466), c_Wellfounded_Oless__than)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool)), _u7468), _u7469)), c_Wellfounded_Omax__ext(_u7467, _u7470))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool)), _u7471), _u7472)), c_Wellfounded_Omax__ext(_u7467, _u7470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7467, tc_HOL_Obool)), _u7468), _u7471)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7467, tc_HOL_Obool)), _u7469), _u7472))), c_Wellfounded_Omax__ext(_u7467, _u7470))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u7477, hAPP(hAPP(c_COMBC(_u7477, tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_fun(_u7477, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7477, tc_fun(tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_fun(_u7477, tc_HOL_Obool)), _u7477), c_COMBC(_u7477, tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7477, tc_prod(_u7477, _u7477)), tc_fun(_u7477, tc_fun(tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_HOL_Obool)), _u7477), hAPP(c_COMBB(tc_prod(_u7477, _u7477), tc_fun(tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_HOL_Obool), _u7477), c_member(tc_prod(_u7477, _u7477)))), c_Product__Type_OPair(_u7477, _u7477)))), _u7479), _u7481, _u7483) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7477, tc_HOL_Obool), tc_fun(_u7477, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7477, tc_HOL_Obool), tc_fun(_u7477, tc_HOL_Obool)), _u7481), _u7483)), c_Wellfounded_Omax__ext(_u7477, _u7479))) )).
% 28.96/29.19 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7478, tc_HOL_Obool), tc_fun(_u7478, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7478, tc_HOL_Obool), tc_fun(_u7478, tc_HOL_Obool)), _u7482), _u7484)), c_Wellfounded_Omax__ext(_u7478, _u7480))) | c_Wellfounded_Omax__extp(_u7478, hAPP(hAPP(c_COMBC(_u7478, tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_fun(_u7478, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7478, tc_fun(tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_fun(_u7478, tc_HOL_Obool)), _u7478), c_COMBC(_u7478, tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7478, tc_prod(_u7478, _u7478)), tc_fun(_u7478, tc_fun(tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_HOL_Obool)), _u7478), hAPP(c_COMBB(tc_prod(_u7478, _u7478), tc_fun(tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_HOL_Obool), _u7478), c_member(tc_prod(_u7478, _u7478)))), c_Product__Type_OPair(_u7478, _u7478)))), _u7480), _u7482, _u7484) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u7489, _u7491) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7489, _u7489)), hAPP(hAPP(c_Product__Type_OPair(_u7489, _u7489), _u7485), _u7485)), _u7491)) )).
% 28.96/29.19 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u7490, _u7490)), hAPP(hAPP(c_Product__Type_OPair(_u7490, _u7490), skolem114(_u7492, _u7490)), skolem114(_u7492, _u7490))), _u7492)) | c_Relation_Oirrefl(_u7490, _u7492) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Body1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Body1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7493, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)), _u7494), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7493), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493))), hAPP(hAPP(c_COMBB(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7493)), _u7495)), c_Com_Ocom_OBODY)), _u7496)), _u7497)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7493), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493))), hAPP(hAPP(c_COMBB(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7493)), _u7495)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u7496)), _u7497)) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), _u7498), _u7497)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), hAPP(_u7495, _u7498)), hAPP(c_Com_Ocom_OBODY, _u7498)), hAPP(_u7496, _u7498))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u7499), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u7499, _u7499)), hAPP(hAPP(c_Product__Type_OPair(_u7499, _u7499), _u7500), _u7501)), _u7502)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7499, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7499), _u7500), hAPP(hAPP(c_Set_Oinsert(_u7499), _u7501), c_Orderings_Obot__class_Obot(tc_fun(_u7499, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u7499), _u7502))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u7505), 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)), _u7507), 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)), _u7505), _u7507)), c_Int_Ointrel)) )).
% 28.96/29.19 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)), _u7506), _u7508)), 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)), _u7506), 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)), _u7508), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u7511, _u7513), _u7514)) | hBOOL(hAPP(hAPP(_u7512, _u7513), _u7514)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7509, tc_fun(_u7510, tc_HOL_Obool))), _u7511), _u7512), _u7513), _u7514)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7519, tc_fun(_u7520, tc_HOL_Obool))), _u7518), _u7515), _u7516), _u7517)) | ~hBOOL(hAPP(hAPP(_u7515, _u7516), _u7517)) )).
% 28.96/29.19 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7519, tc_fun(_u7520, tc_HOL_Obool))), _u7518), _u7515), _u7516), _u7517)) | ~hBOOL(hAPP(hAPP(_u7518, _u7516), _u7517)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__eqI-1, axiom, ( ( _u7521 != hAPP(_u7522, _u7523)) | ~hBOOL(hAPP(hAPP(c_member(_u7524), _u7523), _u7525)) | hBOOL(hAPP(hAPP(c_member(_u7526), _u7521), hAPP(c_Set_Oimage(_u7524, _u7526, _u7522), _u7525))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u7527, _u7528, _u7529), c_Orderings_Obot__class_Obot(tc_fun(_u7527, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7528, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7530, _u7531), _u7532)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7533, tc_fun(_u7534, tc_HOL_Obool))), _u7530), _u7535), _u7531), _u7532)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7536, _u7537), _u7538)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7539, tc_fun(_u7540, tc_HOL_Obool))), _u7541), _u7536), _u7537), _u7538)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u7542, _u7543, _u7544), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7542, tc_HOL_Obool)), _u7545), _u7546)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7543, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7542, _u7543, _u7544), _u7545)), hAPP(c_Set_Oimage(_u7542, _u7543, _u7544), _u7546))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u7547, _u7548, _u7549), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7547, tc_HOL_Obool)), _u7550), _u7551)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7548, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u7547, _u7548, _u7549), _u7550)), hAPP(c_Relation_OImage(_u7547, _u7548, _u7549), _u7551))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7552, tc_HOL_Obool)), _u7553), _u7554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7555, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7552, _u7555, _u7556), _u7553)), hAPP(c_Set_Oimage(_u7552, _u7555, _u7556), _u7554))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7564, tc_HOL_Obool)), _u7566), hAPP(c_Set_Oimage(_u7568, _u7564, _u7570), _u7572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7568, tc_HOL_Obool)), skolem115(_u7572, _u7570, _u7568, _u7566, _u7564)), _u7572)) )).
% 28.96/29.19 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7564, tc_HOL_Obool)), _u7566), hAPP(c_Set_Oimage(_u7568, _u7564, _u7570), _u7572))) | ( _u7566 = hAPP(c_Set_Oimage(_u7568, _u7564, _u7570), skolem115(_u7572, _u7570, _u7568, _u7566, _u7564))) )).
% 28.96/29.19 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7569, tc_HOL_Obool)), _u7558), _u7573)) | ( _u7567 != hAPP(c_Set_Oimage(_u7569, _u7565, _u7571), _u7558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7565, tc_HOL_Obool)), _u7567), hAPP(c_Set_Oimage(_u7569, _u7565, _u7571), _u7573))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__image ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u7574, _u7575, _u7576), hAPP(c_Set_Oimage(_u7577, _u7574, _u7578), _u7579)) = hAPP(c_Set_Oimage(_u7577, _u7575, hAPP(hAPP(c_COMBB(_u7574, _u7575, _u7577), _u7576), _u7578)), _u7579)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u7580, _u7580, c_COMBI(_u7580)), _u7581) = _u7581) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u7582, _u7583, hAPP(c_Fun_Ocomp(_u7584, _u7583, _u7582, _u7585), _u7586)), _u7587) = hAPP(c_Set_Oimage(_u7584, _u7583, _u7585), hAPP(c_Set_Oimage(_u7582, _u7584, _u7586), _u7587))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7590)) | ( _u7591 != hAPP(_u7592, _u7589)) | hBOOL(hAPP(hAPP(c_member(_u7593), _u7591), hAPP(c_Set_Oimage(_u7588, _u7593, _u7592), _u7590))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_imageI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7594), _u7595), _u7596)) | hBOOL(hAPP(hAPP(c_member(_u7597), hAPP(_u7598, _u7595)), hAPP(c_Set_Oimage(_u7594, _u7597, _u7598), _u7596))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7606), _u7608), hAPP(c_Set_Oimage(_u7610, _u7606, _u7612), _u7614))) | hBOOL(hAPP(hAPP(c_member(_u7610), skolem116(_u7614, _u7612, _u7610, _u7608)), _u7614)) )).
% 28.96/29.19 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7606), _u7608), hAPP(c_Set_Oimage(_u7610, _u7606, _u7612), _u7614))) | ( _u7608 = hAPP(_u7612, skolem116(_u7614, _u7612, _u7610, _u7608))) )).
% 28.96/29.19 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7611), _u7600), _u7615)) | ( _u7609 != hAPP(_u7613, _u7600)) | hBOOL(hAPP(hAPP(c_member(_u7607), _u7609), hAPP(c_Set_Oimage(_u7611, _u7607, _u7613), _u7615))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u7616, _u7617, _u7618), hAPP(hAPP(c_Set_Oinsert(_u7616), _u7619), _u7620)) = hAPP(hAPP(c_Set_Oinsert(_u7617), hAPP(_u7618, _u7619)), hAPP(c_Set_Oimage(_u7616, _u7617, _u7618), _u7620))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_empty__is__image-1, axiom, ( ( _u7631 = c_Orderings_Obot__class_Obot(tc_fun(_u7627, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7625, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u7627, _u7625, _u7629), _u7631)) )).
% 28.96/29.19 cnf(fact_empty__is__image-2, axiom, ( ( _u7632 != c_Orderings_Obot__class_Obot(tc_fun(_u7628, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7626, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u7628, _u7626, _u7630), _u7632)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u7633, _u7634, _u7635), c_Orderings_Obot__class_Obot(tc_fun(_u7633, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u7640, _u7642, _u7644), _u7646) != c_Orderings_Obot__class_Obot(tc_fun(_u7642, tc_HOL_Obool))) | ( _u7646 = c_Orderings_Obot__class_Obot(tc_fun(_u7640, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_image__is__empty-2, axiom, ( ( _u7647 != c_Orderings_Obot__class_Obot(tc_fun(_u7641, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u7641, _u7643, _u7645), _u7647) = c_Orderings_Obot__class_Obot(tc_fun(_u7643, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7648), _u7649), _u7650)) | ( hAPP(hAPP(c_Set_Oinsert(_u7651), hAPP(_u7652, _u7649)), hAPP(c_Set_Oimage(_u7648, _u7651, _u7652), _u7650)) = hAPP(c_Set_Oimage(_u7648, _u7651, _u7652), _u7650)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7653, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7653, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7654, _u7653, _u7655), _u7656)), hAPP(c_Set_Oimage(_u7654, _u7653, _u7655), _u7657))), hAPP(c_Set_Oimage(_u7654, _u7653, _u7655), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7654, tc_HOL_Obool)), _u7656), _u7657)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__constant__conv-1, axiom, ( ( _u7662 != c_Orderings_Obot__class_Obot(tc_fun(_u7664, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u7664, _u7666, hAPP(c_COMBK(_u7666, _u7664), _u7668)), _u7662) = c_Orderings_Obot__class_Obot(tc_fun(_u7666, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_image__constant__conv-2, axiom, ( ( _u7663 = c_Orderings_Obot__class_Obot(tc_fun(_u7665, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u7665, _u7667, hAPP(c_COMBK(_u7667, _u7665), _u7669)), _u7663) = hAPP(hAPP(c_Set_Oinsert(_u7667), _u7669), c_Orderings_Obot__class_Obot(tc_fun(_u7667, tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7670, _u7671), tc_HOL_Obool)), _u7672), _u7673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7670, tc_HOL_Obool)), _u7674), _u7675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7671, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u7670, _u7671, _u7672), _u7674)), hAPP(c_Relation_OImage(_u7670, _u7671, _u7673), _u7675))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u7676, _u7677, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7676, _u7677), tc_HOL_Obool)), _u7678), _u7679)), _u7680) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7677, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u7676, _u7677, _u7678), _u7680)), hAPP(c_Relation_OImage(_u7676, _u7677, _u7679), _u7680))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7688), _u7690), hAPP(c_Relation_OImage(_u7692, _u7688, _u7694), _u7696))) | hBOOL(hAPP(hAPP(c_member(_u7692), skolem117(_u7696, _u7694, _u7692, _u7690, _u7688)), _u7696)) )).
% 28.96/29.19 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7688), _u7690), hAPP(c_Relation_OImage(_u7692, _u7688, _u7694), _u7696))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7692, _u7688)), hAPP(hAPP(c_Product__Type_OPair(_u7692, _u7688), skolem117(_u7696, _u7694, _u7692, _u7690, _u7688)), _u7690)), _u7694)) )).
% 28.96/29.19 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7693), _u7682), _u7697)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7693, _u7689)), hAPP(hAPP(c_Product__Type_OPair(_u7693, _u7689), _u7682), _u7691)), _u7695)) | hBOOL(hAPP(hAPP(c_member(_u7689), _u7691), hAPP(c_Relation_OImage(_u7693, _u7689, _u7695), _u7697))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7698), _u7699), _u7700)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7698, _u7701)), hAPP(hAPP(c_Product__Type_OPair(_u7698, _u7701), _u7699), _u7702)), _u7703)) | hBOOL(hAPP(hAPP(c_member(_u7701), _u7702), hAPP(c_Relation_OImage(_u7698, _u7701, _u7703), _u7700))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7704), _u7705), _u7706)) | ( hAPP(c_Set_Oimage(_u7704, _u7707, hAPP(c_COMBK(_u7707, _u7704), _u7708)), _u7706) = hAPP(hAPP(c_Set_Oinsert(_u7707), _u7708), c_Orderings_Obot__class_Obot(tc_fun(_u7707, tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u7709), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7709, _u7709), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7709, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7710, _u7710), tc_HOL_Obool)), _u7711), _u7712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7710, tc_HOL_Obool)), hAPP(c_Relation_OField(_u7710), _u7711)), hAPP(c_Relation_OField(_u7710), _u7712))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u7713), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7713, _u7713), tc_HOL_Obool)), _u7714), _u7715)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7713, tc_HOL_Obool)), hAPP(c_Relation_OField(_u7713), _u7714)), hAPP(c_Relation_OField(_u7713), _u7715))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7721), _u7723), hAPP(c_Relation_OImage(_u7725, _u7721, _u7727), hAPP(hAPP(c_Set_Oinsert(_u7725), _u7729), c_Orderings_Obot__class_Obot(tc_fun(_u7725, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7725, _u7721)), hAPP(hAPP(c_Product__Type_OPair(_u7725, _u7721), _u7729), _u7723)), _u7727)) )).
% 28.96/29.19 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7726, _u7722)), hAPP(hAPP(c_Product__Type_OPair(_u7726, _u7722), _u7730), _u7724)), _u7728)) | hBOOL(hAPP(hAPP(c_member(_u7722), _u7724), hAPP(c_Relation_OImage(_u7726, _u7722, _u7728), hAPP(hAPP(c_Set_Oinsert(_u7726), _u7730), c_Orderings_Obot__class_Obot(tc_fun(_u7726, tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_hoare__derivs_OBody ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_hoare__derivs_OBody-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7731, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7731), tc_HOL_Obool)), _u7732), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7731), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), hAPP(hAPP(c_COMBB(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7731)), _u7733)), c_Com_Ocom_OBODY)), _u7734)), _u7735)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7731), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), hAPP(hAPP(c_COMBB(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7731)), _u7733)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u7734)), _u7735)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7731, _u7732, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7731), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), hAPP(hAPP(c_COMBB(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7731)), _u7733)), c_Com_Ocom_OBODY)), _u7734)), _u7735)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_of__int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u7736) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7736), 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), _u7737), _u7738)), 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(_u7736), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7736), _u7737)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7736), _u7738))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 28.96/29.19 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)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_mult ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7739), _u7740)), 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), _u7741), _u7742)), 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), _u7739), _u7741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7740), _u7742))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7739), _u7742)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7740), _u7741)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7747), _u7749)), 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), _u7751), _u7753)), 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), _u7747), _u7753)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7751), _u7749))) )).
% 28.96/29.19 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), _u7748), _u7754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7752), _u7750))) | 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), _u7748), _u7750)), 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), _u7752), _u7754)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_less ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7759), _u7761)), 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), _u7763), _u7765)), 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), _u7759), _u7765)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7763), _u7761))) )).
% 28.96/29.19 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), _u7760), _u7766)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7764), _u7762))) | 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), _u7760), _u7762)), 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), _u7764), _u7766)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7767, _u7768)), hAPP(hAPP(c_Product__Type_OPair(_u7767, _u7768), _u7769), _u7770)), _u7771)) | hBOOL(hAPP(hAPP(c_member(_u7772), hAPP(hAPP(_u7773, _u7769), _u7770)), hAPP(c_Set_Oimage(tc_prod(_u7767, _u7768), _u7772, hAPP(c_Product__Type_Oprod_Oprod__case(_u7767, _u7768, _u7772), _u7773)), _u7771))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u7774), _u7775) = 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)), _u7774)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7775)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u7778), _u7780)) | 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)), _u7778)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7780))) )).
% 28.96/29.19 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)), _u7779)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7779), _u7781)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u7782)) = _u7782) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u7785 != _u7787) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7785) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7787)) )).
% 28.96/29.19 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)), _u7786) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7788)) | ( _u7786 = _u7788) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u7791), _u7793)) | 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)), _u7791)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7793))) )).
% 28.96/29.19 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)), _u7792)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7792), _u7794)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7797), _u7799)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7797)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7799))) )).
% 28.96/29.19 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), _u7798)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7800))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7798), _u7800)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 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)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 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)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_minus ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7801), _u7802)), 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), _u7802), _u7801)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 28.96/29.19 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)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_int__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7803) = 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), _u7803), 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)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_add ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7804), _u7805)), 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), _u7806), _u7807)), 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), _u7804), _u7806)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7805), _u7807))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_nat ( axiom ) converted to clauses:
% 28.96/29.19 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), _u7808), _u7809)), 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), _u7808), _u7809)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u7812 = 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), skolem118(_u7812)), skolem119(_u7812))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7819), _u7821), _u7823)) | ( hAPP(c_Set_Oimage(_u7819, _u7825, c_Fun_Ofun__upd(_u7819, _u7825, _u7827, _u7821, _u7829)), _u7823) = hAPP(hAPP(c_Set_Oinsert(_u7825), _u7829), hAPP(c_Set_Oimage(_u7819, _u7825, _u7827), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7819, tc_HOL_Obool)), _u7823), hAPP(hAPP(c_Set_Oinsert(_u7819), _u7821), c_Orderings_Obot__class_Obot(tc_fun(_u7819, tc_HOL_Obool))))))) )).
% 28.96/29.19 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7820), _u7822), _u7824)) | ( hAPP(c_Set_Oimage(_u7820, _u7826, c_Fun_Ofun__upd(_u7820, _u7826, _u7828, _u7822, _u7830)), _u7824) = hAPP(c_Set_Oimage(_u7820, _u7826, _u7828), _u7824)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7832), _u7833), hAPP(c_Relation_OImage(_u7834, _u7832, _u7835), _u7836))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7834, _u7832)), hAPP(hAPP(c_Product__Type_OPair(_u7834, _u7832), skolem120(_u7836, _u7835, _u7834, _u7833, _u7832)), _u7833)), _u7835)) )).
% 28.96/29.19 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7832), _u7833), hAPP(c_Relation_OImage(_u7834, _u7832, _u7835), _u7836))) | hBOOL(hAPP(hAPP(c_member(_u7834), skolem120(_u7836, _u7835, _u7834, _u7833, _u7832)), _u7836)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7841, tc_fun(_u7841, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7841, tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_fun(_u7841, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7841, tc_fun(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_fun(_u7841, tc_HOL_Obool)), _u7841), c_COMBC(_u7841, tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7841, tc_prod(_u7841, _u7841)), tc_fun(_u7841, tc_fun(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_HOL_Obool)), _u7841), hAPP(c_COMBB(tc_prod(_u7841, _u7841), tc_fun(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_HOL_Obool), _u7841), c_member(tc_prod(_u7841, _u7841)))), c_Product__Type_OPair(_u7841, _u7841)))), _u7843)), c_fequal), _u7845), _u7847)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7841, _u7841)), hAPP(hAPP(c_Product__Type_OPair(_u7841, _u7841), _u7845), _u7847)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool)), _u7843), c_Relation_OId(_u7841)))) )).
% 28.96/29.19 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7842, _u7842)), hAPP(hAPP(c_Product__Type_OPair(_u7842, _u7842), _u7846), _u7848)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool)), _u7844), c_Relation_OId(_u7842)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7842, tc_fun(_u7842, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7842, tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_fun(_u7842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7842, tc_fun(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_fun(_u7842, tc_HOL_Obool)), _u7842), c_COMBC(_u7842, tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7842, tc_prod(_u7842, _u7842)), tc_fun(_u7842, tc_fun(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_HOL_Obool)), _u7842), hAPP(c_COMBB(tc_prod(_u7842, _u7842), tc_fun(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_HOL_Obool), _u7842), c_member(tc_prod(_u7842, _u7842)))), c_Product__Type_OPair(_u7842, _u7842)))), _u7844)), c_fequal), _u7846), _u7848)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u7849, _u7850, _u7851, _u7852, hAPP(_u7851, _u7852)) = _u7851) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_IdI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u7853, _u7853)), hAPP(hAPP(c_Product__Type_OPair(_u7853, _u7853), _u7854), _u7854)), c_Relation_OId(_u7853))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u7864, _u7866) = _u7868) | ( c_Fun_Ofun__upd(_u7860, _u7862, _u7864, _u7866, _u7868) != _u7864) )).
% 28.96/29.19 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u7865, _u7867) != _u7869) | ( c_Fun_Ofun__upd(_u7861, _u7863, _u7865, _u7867, _u7869) = _u7865) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u7870, _u7871, c_Fun_Ofun__upd(_u7870, _u7871, _u7872, _u7873, _u7874), _u7873, _u7875) = c_Fun_Ofun__upd(_u7870, _u7871, _u7872, _u7873, _u7875)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u7876, _u7877, _u7878, _u7879, _u7880), _u7879) = _u7880) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__apply-1, axiom, ( ( _u7887 != _u7889) | ( hAPP(c_Fun_Ofun__upd(_u7891, _u7893, _u7895, _u7889, _u7897), _u7887) = _u7897) )).
% 28.96/29.19 cnf(fact_fun__upd__apply-2, axiom, ( ( _u7888 = _u7890) | ( hAPP(c_Fun_Ofun__upd(_u7892, _u7894, _u7896, _u7890, _u7898), _u7888) = hAPP(_u7896, _u7888)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__twist-1, axiom, ( ( _u7899 = _u7900) | ( c_Fun_Ofun__upd(_u7901, _u7902, c_Fun_Ofun__upd(_u7901, _u7902, _u7903, _u7899, _u7904), _u7900, _u7905) = c_Fun_Ofun__upd(_u7901, _u7902, c_Fun_Ofun__upd(_u7901, _u7902, _u7903, _u7900, _u7905), _u7899, _u7904)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__other-1, axiom, ( ( _u7906 = _u7907) | ( hAPP(c_Fun_Ofun__upd(_u7908, _u7909, _u7910, _u7907, _u7911), _u7906) = hAPP(_u7910, _u7906)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u7912, _u7913) != _u7914) | ( c_Fun_Ofun__upd(_u7915, _u7916, _u7912, _u7913, _u7914) = _u7912) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__def-1, axiom, ( ( _u7923 != _u7925) | ( hAPP(c_Fun_Ofun__upd(_u7927, _u7929, _u7931, _u7925, _u7933), _u7923) = _u7933) )).
% 28.96/29.19 cnf(fact_fun__upd__def-2, axiom, ( ( _u7924 = _u7926) | ( hAPP(c_Fun_Ofun__upd(_u7928, _u7930, _u7932, _u7926, _u7934), _u7924) = hAPP(_u7932, _u7924)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u7935, _u7936, _u7937, _u7938), c_Fun_Ofun__upd(_u7937, _u7935, _u7939, _u7940, _u7941)) = c_Fun_Ofun__upd(_u7937, _u7936, hAPP(c_Fun_Ocomp(_u7935, _u7936, _u7937, _u7938), _u7939), _u7940, hAPP(_u7938, _u7941))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u7942, _u7942, c_Relation_OId(_u7942)), _u7943) = _u7943) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u7949 = _u7951) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7947, _u7947)), hAPP(hAPP(c_Product__Type_OPair(_u7947, _u7947), _u7949), _u7951)), c_Relation_OId(_u7947))) )).
% 28.96/29.19 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u7950 != _u7952) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7948, _u7948)), hAPP(hAPP(c_Product__Type_OPair(_u7948, _u7948), _u7950), _u7952)), c_Relation_OId(_u7948))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u7953, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u7953, _u7953), tc_HOL_Obool)), _u7954), c_Relation_OId(_u7953))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7955, _u7955), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7956) = c_Relation_OId(_u7955)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 28.96/29.19 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)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7957) | ~c_Nat__Transfer_Onat__set(_u7958) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7957), _u7958) = 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), _u7957)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7958)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7959) | ~c_Nat__Transfer_Onat__set(_u7960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7959), _u7960)) | 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), _u7959)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7960))) )).
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7959) | ~c_Nat__Transfer_Onat__set(_u7960) | ~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), _u7959)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7960))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7959), _u7960)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7961) | ~c_Nat__Transfer_Onat__set(_u7962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7961), _u7962)) | 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), _u7961)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7962))) )).
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7961) | ~c_Nat__Transfer_Onat__set(_u7962) | ~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), _u7961)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7961), _u7962)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7963) | ~c_Nat__Transfer_Onat__set(_u7964) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7963), _u7964)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7963)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7964))) )).
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7963) | ~c_Nat__Transfer_Onat__set(_u7964) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7963)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7964))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7963), _u7964)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 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))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7965) | ~c_Nat__Transfer_Onat__set(_u7966) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7965), _u7966)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7970) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7967), _u7970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7967)) )).
% 28.96/29.19 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u7971) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7971)), _u7971)) )).
% 28.96/29.19 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u7971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u7971))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u7972)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7973) | ~c_Nat__Transfer_Onat__set(_u7974) | ( _u7973 != _u7974) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7973) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7974)) )).
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7973) | ~c_Nat__Transfer_Onat__set(_u7974) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7973) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7974)) | ( _u7973 = _u7974) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7975) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7976), _u7975)) | c_Nat__Transfer_Ois__nat(_u7976) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7977) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7978), _u7977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7978)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7979) | ( 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), _u7979)) = _u7979) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u7983, _u7985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u7983, _u7983), tc_HOL_Obool)), _u7987), c_Relation_OId(_u7983))) | c_Relation_Ototal__on(_u7983, _u7985, _u7987) )).
% 28.96/29.19 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u7984, _u7986, _u7988) | c_Relation_Ototal__on(_u7984, _u7986, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u7984, _u7984), tc_HOL_Obool)), _u7988), c_Relation_OId(_u7984))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u7989, _u7990, _u7991) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7989, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u7989, _u7989, _u7991), hAPP(hAPP(c_Set_Oinsert(_u7989), _u7992), c_Orderings_Obot__class_Obot(tc_fun(_u7989, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u7989, _u7989, _u7991), hAPP(hAPP(c_Set_Oinsert(_u7989), _u7993), c_Orderings_Obot__class_Obot(tc_fun(_u7989, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u7989), _u7992), _u7990)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7989, _u7989)), hAPP(hAPP(c_Product__Type_OPair(_u7989, _u7989), _u7993), _u7992)), _u7991)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7997, hAPP(hAPP(c_COMBC(_u7997, tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_fun(_u7997, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7997, tc_fun(tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_fun(_u7997, tc_HOL_Obool)), _u7997), c_COMBC(_u7997, tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7997, tc_prod(_u7997, _u7997)), tc_fun(_u7997, tc_fun(tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_HOL_Obool)), _u7997), hAPP(c_COMBB(tc_prod(_u7997, _u7997), tc_fun(tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_HOL_Obool), _u7997), c_member(tc_prod(_u7997, _u7997)))), c_Product__Type_OPair(_u7997, _u7997)))), _u7999)), _u8001)) | hBOOL(hAPP(hAPP(c_member(_u7997), _u8001), c_Wellfounded_Oacc(_u7997, _u7999))) )).
% 28.96/29.19 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7998), _u8002), c_Wellfounded_Oacc(_u7998, _u8000))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7998, hAPP(hAPP(c_COMBC(_u7998, tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_fun(_u7998, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7998, tc_fun(tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_fun(_u7998, tc_HOL_Obool)), _u7998), c_COMBC(_u7998, tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7998, tc_prod(_u7998, _u7998)), tc_fun(_u7998, tc_fun(tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_HOL_Obool)), _u7998), hAPP(c_COMBB(tc_prod(_u7998, _u7998), tc_fun(tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_HOL_Obool), _u7998), c_member(tc_prod(_u7998, _u7998)))), c_Product__Type_OPair(_u7998, _u7998)))), _u8000)), _u8002)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8003)) | 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))), _u8003)), c_FunDef_Omax__weak)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u8004, _u8004)), _u8005)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8004), hAPP(c_Relation_OField(_u8004), _u8005))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u8006, c_Orderings_Obot__class_Obot(tc_fun(_u8006, tc_HOL_Obool)), _u8007) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8008, _u8008), tc_HOL_Obool)), _u8009), _u8010)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8008, tc_HOL_Obool)), c_Wellfounded_Oacc(_u8008, _u8010)), c_Wellfounded_Oacc(_u8008, _u8009))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8011, _u8012, _u8013) | ~hBOOL(hAPP(hAPP(c_member(_u8011), _u8014), _u8012)) | hBOOL(hAPP(hAPP(c_member(_u8011), _u8014), hAPP(c_Relation_OImage(_u8011, _u8011, _u8013), hAPP(hAPP(c_Set_Oinsert(_u8011), _u8014), c_Orderings_Obot__class_Obot(tc_fun(_u8011, tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8015), _u8016), c_Wellfounded_Oacc(_u8015, _u8017))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8015, _u8015)), hAPP(hAPP(c_Product__Type_OPair(_u8015, _u8015), _u8018), _u8016)), _u8017)) | hBOOL(hAPP(hAPP(c_member(_u8015), _u8018), c_Wellfounded_Oacc(_u8015, _u8017))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8024), _u8026), c_Wellfounded_Oacc(_u8024, _u8028))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8024, _u8024)), hAPP(hAPP(c_Product__Type_OPair(_u8024, _u8024), _u8019), _u8026)), _u8028)) | hBOOL(hAPP(hAPP(c_member(_u8024), _u8019), c_Wellfounded_Oacc(_u8024, _u8028))) )).
% 28.96/29.19 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8025), _u8027), c_Wellfounded_Oacc(_u8025, _u8029))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8025, _u8025)), hAPP(hAPP(c_Product__Type_OPair(_u8025, _u8025), skolem122(_u8029, _u8027, _u8025)), _u8027)), _u8029)) )).
% 28.96/29.19 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8025), _u8027), c_Wellfounded_Oacc(_u8025, _u8029))) | ~hBOOL(hAPP(hAPP(c_member(_u8025), skolem122(_u8029, _u8027, _u8025)), c_Wellfounded_Oacc(_u8025, _u8029))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8030, _u8031, _u8032) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8030, _u8030)), hAPP(hAPP(c_Product__Type_OPair(_u8030, _u8030), _u8033), _u8034)), _u8032)) | ( hAPP(c_Relation_OImage(_u8030, _u8030, _u8032), hAPP(hAPP(c_Set_Oinsert(_u8030), _u8033), c_Orderings_Obot__class_Obot(tc_fun(_u8030, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8030, _u8030, _u8032), hAPP(hAPP(c_Set_Oinsert(_u8030), _u8034), c_Orderings_Obot__class_Obot(tc_fun(_u8030, tc_HOL_Obool))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u8042, _u8044, _u8046) | ~hBOOL(hAPP(hAPP(c_member(_u8042), _u8036), _u8044)) | ~hBOOL(hAPP(hAPP(c_member(_u8042), _u8035), _u8044)) | ( _u8036 = _u8035) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8042, _u8042)), hAPP(hAPP(c_Product__Type_OPair(_u8042, _u8042), _u8036), _u8035)), _u8046)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8042, _u8042)), hAPP(hAPP(c_Product__Type_OPair(_u8042, _u8042), _u8035), _u8036)), _u8046)) )).
% 28.96/29.19 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | hBOOL(hAPP(hAPP(c_member(_u8043), skolem123(_u8047, _u8045, _u8043)), _u8045)) )).
% 28.96/29.19 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | hBOOL(hAPP(hAPP(c_member(_u8043), skolem124(_u8047, _u8045, _u8043)), _u8045)) )).
% 28.96/29.19 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | ( skolem123(_u8047, _u8045, _u8043) != skolem124(_u8047, _u8045, _u8043)) )).
% 28.96/29.19 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8043, _u8043)), hAPP(hAPP(c_Product__Type_OPair(_u8043, _u8043), skolem123(_u8047, _u8045, _u8043)), skolem124(_u8047, _u8045, _u8043))), _u8047)) )).
% 28.96/29.19 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8043, _u8043)), hAPP(hAPP(c_Product__Type_OPair(_u8043, _u8043), skolem124(_u8047, _u8045, _u8043)), skolem123(_u8047, _u8045, _u8043))), _u8047)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8048, _u8049, _u8050) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8048, _u8048)), hAPP(hAPP(c_Product__Type_OPair(_u8048, _u8048), _u8051), _u8052)), _u8050)) | ( hAPP(c_Relation_OImage(_u8048, _u8048, _u8050), hAPP(hAPP(c_Set_Oinsert(_u8048), _u8051), c_Orderings_Obot__class_Obot(tc_fun(_u8048, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8048, _u8048, _u8050), hAPP(hAPP(c_Set_Oinsert(_u8048), _u8052), c_Orderings_Obot__class_Obot(tc_fun(_u8048, tc_HOL_Obool))))) )).
% 28.96/29.19 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u8048, _u8049, _u8050) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8048, _u8048)), hAPP(hAPP(c_Product__Type_OPair(_u8048, _u8048), _u8051), _u8052)), _u8050)) | hBOOL(hAPP(hAPP(c_member(_u8048), _u8051), _u8049)) )).
% 28.96/29.19 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u8048, _u8049, _u8050) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8048, _u8048)), hAPP(hAPP(c_Product__Type_OPair(_u8048, _u8048), _u8051), _u8052)), _u8050)) | hBOOL(hAPP(hAPP(c_member(_u8048), _u8052), _u8049)) )).
% 28.96/29.19 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u8048, _u8049, _u8050) | ( hAPP(c_Relation_OImage(_u8048, _u8048, _u8050), hAPP(hAPP(c_Set_Oinsert(_u8048), _u8051), c_Orderings_Obot__class_Obot(tc_fun(_u8048, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8048, _u8048, _u8050), hAPP(hAPP(c_Set_Oinsert(_u8048), _u8052), c_Orderings_Obot__class_Obot(tc_fun(_u8048, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u8048), _u8051), _u8049)) | ~hBOOL(hAPP(hAPP(c_member(_u8048), _u8052), _u8049)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8048, _u8048)), hAPP(hAPP(c_Product__Type_OPair(_u8048, _u8048), _u8051), _u8052)), _u8050)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8053, _u8054, _u8055) | ~hBOOL(hAPP(hAPP(c_member(_u8053), _u8056), _u8054)) | ~hBOOL(hAPP(hAPP(c_member(_u8053), _u8057), _u8054)) | ( hAPP(c_Relation_OImage(_u8053, _u8053, _u8055), hAPP(hAPP(c_Set_Oinsert(_u8053), _u8056), c_Orderings_Obot__class_Obot(tc_fun(_u8053, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8053, _u8053, _u8055), hAPP(hAPP(c_Set_Oinsert(_u8053), _u8057), c_Orderings_Obot__class_Obot(tc_fun(_u8053, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8053, _u8053)), hAPP(hAPP(c_Product__Type_OPair(_u8053, _u8053), _u8056), _u8057)), _u8055)) )).
% 28.96/29.19 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u8053, _u8054, _u8055) | ~hBOOL(hAPP(hAPP(c_member(_u8053), _u8056), _u8054)) | ~hBOOL(hAPP(hAPP(c_member(_u8053), _u8057), _u8054)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8053, _u8053)), hAPP(hAPP(c_Product__Type_OPair(_u8053, _u8053), _u8056), _u8057)), _u8055)) | ( hAPP(c_Relation_OImage(_u8053, _u8053, _u8055), hAPP(hAPP(c_Set_Oinsert(_u8053), _u8056), c_Orderings_Obot__class_Obot(tc_fun(_u8053, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8053, _u8053, _u8055), hAPP(hAPP(c_Set_Oinsert(_u8053), _u8057), c_Orderings_Obot__class_Obot(tc_fun(_u8053, tc_HOL_Obool))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u8058, _u8058, _u8059), hAPP(hAPP(c_Set_Oinsert(_u8058), _u8060), c_Orderings_Obot__class_Obot(tc_fun(_u8058, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8058, _u8058, _u8059), hAPP(hAPP(c_Set_Oinsert(_u8058), _u8061), c_Orderings_Obot__class_Obot(tc_fun(_u8058, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u8058, _u8062, _u8059) | ~hBOOL(hAPP(hAPP(c_member(_u8058), _u8061), _u8062)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8058, _u8058)), hAPP(hAPP(c_Product__Type_OPair(_u8058, _u8058), _u8060), _u8061)), _u8059)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8063, _u8064, _u8065) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8063, _u8063)), hAPP(hAPP(c_Product__Type_OPair(_u8063, _u8063), _u8066), _u8067)), _u8065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8063, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8063, _u8063, _u8065), hAPP(hAPP(c_Set_Oinsert(_u8063), _u8066), c_Orderings_Obot__class_Obot(tc_fun(_u8063, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8063, _u8063, _u8065), hAPP(hAPP(c_Set_Oinsert(_u8063), _u8067), c_Orderings_Obot__class_Obot(tc_fun(_u8063, tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8068)) | ( _u8068 = 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))), _u8068)), c_FunDef_Omax__strict)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8069), _u8070)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8069), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8069, tc_HOL_Obool)), _u8070), _u8071))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8072), _u8073)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), hAPP(c_Set_Oimage(_u8072, _u8074, _u8075), _u8073))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8076), _u8077)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8076), hAPP(hAPP(c_Set_Oinsert(_u8076), _u8078), _u8077))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8079), c_Orderings_Obot__class_Obot(tc_fun(_u8079, tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8081)) | 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)), _u8081))) )).
% 28.96/29.19 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)), _u8082))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8082)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8083)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8083))) )).
% 28.96/29.19 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u8083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8083))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8083)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u8084) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8084), _u8085)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u8086) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8086), _u8087)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8088), c_Orderings_Obot__class_Obot(tc_fun(_u8088, tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8092), hAPP(hAPP(c_Set_Oinsert(_u8092), _u8094), _u8096))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8092), _u8096)) )).
% 28.96/29.19 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8093), _u8097)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8093), hAPP(hAPP(c_Set_Oinsert(_u8093), _u8095), _u8097))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8098, tc_HOL_Obool)), _u8099), _u8100)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8098), _u8100)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8098), _u8099)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8101), _u8102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8101, tc_HOL_Obool)), _u8103), _u8102)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8101), _u8103)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8104), _u8105)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8104), _u8106)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8104), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8104, tc_HOL_Obool)), _u8105), _u8106))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8110), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8110, tc_HOL_Obool)), _u8112), _u8114))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8110), _u8112)) )).
% 28.96/29.19 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8110), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8110, tc_HOL_Obool)), _u8112), _u8114))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8110), _u8114)) )).
% 28.96/29.19 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8111), _u8113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8111), _u8115)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8111), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8111, tc_HOL_Obool)), _u8113), _u8115))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), _u8117)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8116, tc_HOL_Obool)), _u8118), _u8117))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), _u8118)) )).
% 28.96/29.19 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), _u8117)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), _u8118)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8116, tc_HOL_Obool)), _u8118), _u8117))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8119), _u8120)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8121, tc_HOL_Obool)), _u8122), hAPP(c_Set_Oimage(_u8119, _u8121, _u8123), _u8120))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8121), _u8122)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8128), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8128, tc_HOL_Obool)), _u8130), hAPP(hAPP(c_Set_Oinsert(_u8128), _u8132), _u8134)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8128), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8134))) )).
% 28.96/29.19 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8129, tc_HOL_Obool)), _u8131), _u8135))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8129, tc_HOL_Obool)), _u8131), hAPP(hAPP(c_Set_Oinsert(_u8129), _u8133), _u8135)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8139, tc_HOL_Obool), tc_fun(_u8139, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8139, tc_HOL_Obool), tc_fun(_u8139, tc_HOL_Obool)), _u8141), _u8143)), c_Wellfounded_Ofinite__psubset(_u8139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8139, tc_HOL_Obool)), _u8141), _u8143)) )).
% 28.96/29.19 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8139, tc_HOL_Obool), tc_fun(_u8139, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8139, tc_HOL_Obool), tc_fun(_u8139, tc_HOL_Obool)), _u8141), _u8143)), c_Wellfounded_Ofinite__psubset(_u8139))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8139), _u8143)) )).
% 28.96/29.19 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8140, tc_HOL_Obool)), _u8142), _u8144)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8140), _u8144)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8140, tc_HOL_Obool), tc_fun(_u8140, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8140, tc_HOL_Obool), tc_fun(_u8140, tc_HOL_Obool)), _u8142), _u8144)), c_Wellfounded_Ofinite__psubset(_u8140))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u8145, _u8146, _u8147, _u8148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8145), _u8149)) | ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8150), _u8149)) | ( hAPP(_u8148, _u8149) = hAPP(c_Fun_Ocomp(_u8146, _u8146, _u8146, hAPP(_u8148, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8145, tc_HOL_Obool)), _u8149), hAPP(hAPP(c_Set_Oinsert(_u8145), _u8150), c_Orderings_Obot__class_Obot(tc_fun(_u8145, tc_HOL_Obool)))))), hAPP(_u8147, _u8150))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8151, _u8152, _u8153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8151), _u8154)) | ~hBOOL(hAPP(hAPP(c_member(_u8151), _u8155), _u8154)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8151, tc_HOL_Obool)), _u8154), hAPP(hAPP(c_Set_Oinsert(_u8151), _u8155), c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool))) | ( hAPP(_u8153, _u8154) = _u8155) )).
% 28.96/29.19 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u8151, _u8152, _u8153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8151), _u8154)) | ~hBOOL(hAPP(hAPP(c_member(_u8151), _u8155), _u8154)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8151, tc_HOL_Obool)), _u8154), hAPP(hAPP(c_Set_Oinsert(_u8151), _u8155), c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool))) | ( hAPP(_u8153, _u8154) = hAPP(hAPP(_u8152, _u8155), hAPP(_u8153, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8151, tc_HOL_Obool)), _u8154), hAPP(hAPP(c_Set_Oinsert(_u8151), _u8155), c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8157), _u8162)) | ~hBOOL(hAPP(hAPP(c_member(_u8157), _u8163), _u8162)) | ( hAPP(_u8161, _u8162) = hAPP(hAPP(_u8158, hAPP(_u8160, _u8163)), hAPP(_u8161, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8157, tc_HOL_Obool)), _u8162), hAPP(hAPP(c_Set_Oinsert(_u8157), _u8163), c_Orderings_Obot__class_Obot(tc_fun(_u8157, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u8156, _u8157, _u8158, _u8159, _u8160, _u8161) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u8164, _u8165, _u8166, _u8167) | ( hAPP(c_Fun_Ocomp(_u8168, _u8169, _u8170, _u8171), hAPP(c_Fun_Ocomp(_u8172, _u8168, _u8170, _u8173), _u8174)) = hAPP(c_Fun_Ocomp(_u8172, _u8169, _u8170, hAPP(c_Fun_Ocomp(_u8168, _u8169, _u8172, _u8171), _u8173)), _u8174)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u8176, _u8176, _u8176, hAPP(_u8177, _u8179)), hAPP(_u8177, _u8180)) = hAPP(c_Fun_Ocomp(_u8176, _u8176, _u8176, hAPP(_u8177, _u8180)), hAPP(_u8177, _u8179))) | ~c_Finite__Set_Ofolding(_u8175, _u8176, _u8177, _u8178) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u8182, _u8182, _u8185, hAPP(_u8183, _u8186)), hAPP(c_Fun_Ocomp(_u8182, _u8182, _u8185, hAPP(_u8183, _u8187)), _u8188)) = hAPP(c_Fun_Ocomp(_u8182, _u8182, _u8185, hAPP(_u8183, _u8187)), hAPP(c_Fun_Ocomp(_u8182, _u8182, _u8185, hAPP(_u8183, _u8186)), _u8188))) | ~c_Finite__Set_Ofolding(_u8181, _u8182, _u8183, _u8184) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u8194, c_Orderings_Obot__class_Obot(tc_fun(_u8190, tc_HOL_Obool))) = _u8192) | ~c_Finite__Set_Ofolding__image__simple(_u8189, _u8190, _u8191, _u8192, _u8193, _u8194) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u8195, _u8196, _u8197, _u8198) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8195), _u8199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8195), _u8200)) | ( hAPP(c_Fun_Ocomp(_u8196, _u8196, _u8201, hAPP(_u8198, _u8200)), hAPP(c_Fun_Ocomp(_u8196, _u8196, _u8201, hAPP(_u8198, _u8199)), _u8202)) = hAPP(c_Fun_Ocomp(_u8196, _u8196, _u8201, hAPP(_u8198, _u8199)), hAPP(c_Fun_Ocomp(_u8196, _u8196, _u8201, hAPP(_u8198, _u8200)), _u8202))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u8203, _u8204, _u8205, _u8206) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8203), _u8207)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8203), _u8208)) | ( hAPP(c_Fun_Ocomp(_u8204, _u8204, _u8204, hAPP(_u8206, _u8208)), hAPP(_u8206, _u8207)) = hAPP(c_Fun_Ocomp(_u8204, _u8204, _u8204, hAPP(_u8206, _u8207)), hAPP(_u8206, _u8208))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u8209, _u8210, _u8211, _u8212) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8209), _u8213)) | ( hAPP(c_Fun_Ocomp(_u8210, _u8210, _u8214, hAPP(_u8211, _u8215)), hAPP(c_Fun_Ocomp(_u8210, _u8210, _u8214, hAPP(_u8212, _u8213)), _u8216)) = hAPP(c_Fun_Ocomp(_u8210, _u8210, _u8214, hAPP(_u8212, _u8213)), hAPP(c_Fun_Ocomp(_u8210, _u8210, _u8214, hAPP(_u8211, _u8215)), _u8216))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u8217, _u8218, _u8219, _u8220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8217), _u8221)) | ( hAPP(c_Fun_Ocomp(_u8218, _u8218, _u8218, hAPP(_u8219, _u8222)), hAPP(_u8220, _u8221)) = hAPP(c_Fun_Ocomp(_u8218, _u8218, _u8218, hAPP(_u8220, _u8221)), hAPP(_u8219, _u8222))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8223, _u8224, _u8225) | ( hAPP(_u8225, hAPP(hAPP(c_Set_Oinsert(_u8223), _u8226), c_Orderings_Obot__class_Obot(tc_fun(_u8223, tc_HOL_Obool)))) = _u8226) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8228), _u8233)) | hBOOL(hAPP(hAPP(c_member(_u8228), _u8234), _u8233)) | ( hAPP(_u8232, hAPP(hAPP(c_Set_Oinsert(_u8228), _u8234), _u8233)) = hAPP(hAPP(_u8229, hAPP(_u8231, _u8234)), hAPP(_u8232, _u8233))) | ~c_Finite__Set_Ofolding__image__simple(_u8227, _u8228, _u8229, _u8230, _u8231, _u8232) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u8235, _u8236, _u8237, _u8238) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8235), _u8239)) | hBOOL(hAPP(hAPP(c_member(_u8235), _u8240), _u8239)) | ( hAPP(_u8238, hAPP(hAPP(c_Set_Oinsert(_u8235), _u8240), _u8239)) = hAPP(c_Fun_Ocomp(_u8236, _u8236, _u8236, hAPP(_u8238, _u8239)), hAPP(_u8237, _u8240))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8241, _u8242, _u8243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8241), _u8244)) | hBOOL(hAPP(hAPP(c_member(_u8241), _u8245), _u8244)) | ( _u8244 = c_Orderings_Obot__class_Obot(tc_fun(_u8241, tc_HOL_Obool))) | ( hAPP(_u8243, hAPP(hAPP(c_Set_Oinsert(_u8241), _u8245), _u8244)) = hAPP(hAPP(_u8242, _u8245), hAPP(_u8243, _u8244))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8246, _u8247, _u8248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8246), _u8249)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8246, tc_HOL_Obool)), _u8249), hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool))) | ( hAPP(_u8248, hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), _u8249)) = _u8250) )).
% 28.96/29.19 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u8246, _u8247, _u8248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8246), _u8249)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8246, tc_HOL_Obool)), _u8249), hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool))) | ( hAPP(_u8248, hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), _u8249)) = hAPP(hAPP(_u8247, _u8250), hAPP(_u8248, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8246, tc_HOL_Obool)), _u8249), hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8252), _u8257)) | ( hAPP(_u8256, hAPP(hAPP(c_Set_Oinsert(_u8252), _u8258), _u8257)) = hAPP(hAPP(_u8253, hAPP(_u8255, _u8258)), hAPP(_u8256, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8252, tc_HOL_Obool)), _u8257), hAPP(hAPP(c_Set_Oinsert(_u8252), _u8258), c_Orderings_Obot__class_Obot(tc_fun(_u8252, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u8251, _u8252, _u8253, _u8254, _u8255, _u8256) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u8259, _u8260, _u8261, _u8262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8259), _u8263)) | ( hAPP(_u8262, hAPP(hAPP(c_Set_Oinsert(_u8259), _u8264), _u8263)) = hAPP(c_Fun_Ocomp(_u8260, _u8260, _u8260, hAPP(_u8262, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8259, tc_HOL_Obool)), _u8263), hAPP(hAPP(c_Set_Oinsert(_u8259), _u8264), c_Orderings_Obot__class_Obot(tc_fun(_u8259, tc_HOL_Obool)))))), hAPP(_u8261, _u8264))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8270)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8265), _u8270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8265), skolem125(_u8270))) )).
% 28.96/29.19 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8271)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem126(_u8271, _u8268)), _u8271)) )).
% 28.96/29.19 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8271)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem126(_u8271, _u8268)), _u8268)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8277)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8272), _u8277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8272), skolem127(_u8277))) )).
% 28.96/29.19 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8278)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem128(_u8278, _u8275)), _u8278)) )).
% 28.96/29.19 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem128(_u8278, _u8275)), _u8275)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8279, _u8280, _u8281) | ~hBOOL(hAPP(hAPP(c_member(_u8279), _u8282), _u8280)) | ~hBOOL(hAPP(hAPP(c_member(_u8279), _u8283), _u8280)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8279), hAPP(hAPP(c_Set_Oinsert(_u8279), _u8282), c_Orderings_Obot__class_Obot(tc_fun(_u8279, tc_HOL_Obool)))), _u8281) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8279), hAPP(hAPP(c_Set_Oinsert(_u8279), _u8283), c_Orderings_Obot__class_Obot(tc_fun(_u8279, tc_HOL_Obool)))), _u8281)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8279, _u8279)), hAPP(hAPP(c_Product__Type_OPair(_u8279, _u8279), _u8282), _u8283)), _u8281)) )).
% 28.96/29.19 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u8279, _u8280, _u8281) | ~hBOOL(hAPP(hAPP(c_member(_u8279), _u8282), _u8280)) | ~hBOOL(hAPP(hAPP(c_member(_u8279), _u8283), _u8280)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8279, _u8279)), hAPP(hAPP(c_Product__Type_OPair(_u8279, _u8279), _u8282), _u8283)), _u8281)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8279), hAPP(hAPP(c_Set_Oinsert(_u8279), _u8282), c_Orderings_Obot__class_Obot(tc_fun(_u8279, tc_HOL_Obool)))), _u8281) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8279), hAPP(hAPP(c_Set_Oinsert(_u8279), _u8283), c_Orderings_Obot__class_Obot(tc_fun(_u8279, tc_HOL_Obool)))), _u8281)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8284, _u8285, _u8286) | ~hBOOL(hAPP(hAPP(c_member(_u8284), _u8287), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8284, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8284, _u8284, _u8286), hAPP(hAPP(c_Set_Oinsert(_u8284), _u8288), c_Orderings_Obot__class_Obot(tc_fun(_u8284, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8284, _u8284, _u8286), hAPP(hAPP(c_Set_Oinsert(_u8284), _u8289), c_Orderings_Obot__class_Obot(tc_fun(_u8284, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8284, _u8284)), hAPP(hAPP(c_Product__Type_OPair(_u8284, _u8284), _u8288), _u8289)), _u8286)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8290, tc_HOL_Obool)), _u8291), _u8292), _u8293)) | hBOOL(hAPP(_u8291, _u8293)) )).
% 28.96/29.19 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8290, tc_HOL_Obool)), _u8291), _u8292), _u8293)) | hBOOL(hAPP(_u8292, _u8293)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u8294, _u8295)) | ~hBOOL(hAPP(_u8296, _u8295)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8297, tc_HOL_Obool)), _u8294), _u8296), _u8295)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_IntI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8298), _u8299), _u8300)) | ~hBOOL(hAPP(hAPP(c_member(_u8298), _u8299), _u8301)) | hBOOL(hAPP(hAPP(c_member(_u8298), _u8299), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8298, tc_HOL_Obool)), _u8300), _u8301))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_IntE ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8302), _u8303), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8302, tc_HOL_Obool)), _u8304), _u8305))) | hBOOL(hAPP(hAPP(c_member(_u8302), _u8303), _u8304)) )).
% 28.96/29.19 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8302), _u8303), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8302, tc_HOL_Obool)), _u8304), _u8305))) | hBOOL(hAPP(hAPP(c_member(_u8302), _u8303), _u8305)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8306, tc_HOL_Obool)), _u8307), _u8308))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8307)) )).
% 28.96/29.19 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8306, tc_HOL_Obool)), _u8307), _u8308))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8308)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8309, _u8310, _u8311) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8309, tc_HOL_Obool)), _u8312), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8309), _u8310), _u8311))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8309, tc_HOL_Obool)), _u8313), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8309), _u8310), _u8311))) | ( _u8312 = _u8313) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8309, tc_HOL_Obool)), _u8312), _u8313) = c_Orderings_Obot__class_Obot(tc_fun(_u8309, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u8314) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8314), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8314), _u8315), _u8316)), _u8315)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8317), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8317), _u8318), _u8319)), _u8318)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u8320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8320), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8320), _u8321), _u8322)), _u8322)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8323), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8323), _u8324), _u8325)), _u8325)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8326), _u8327), _u8328)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8326), _u8327), _u8328) = _u8327) )).
% 28.96/29.19 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u8326) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8326), _u8327), _u8328) != _u8327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8326), _u8327), _u8328)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8329), _u8331), _u8332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), _u8331)) )).
% 28.96/29.19 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u8329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8329), _u8331), _u8332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), _u8332)) )).
% 28.96/29.19 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u8329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), _u8331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), _u8332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8329), _u8331), _u8332))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), _u8334), _u8335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8333), _u8334), _u8336)), _u8335)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8337), _u8338), _u8339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8337), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8337), _u8340), _u8338)), _u8339)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8341), _u8342), _u8343)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8341), _u8342), _u8343) = _u8342) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8344), _u8345), _u8346)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8344), _u8346), _u8345) = _u8345) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8347), _u8348), _u8349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8347), _u8348), _u8350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8347), _u8348), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8347), _u8349), _u8350))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8351), _u8352), _u8353)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8351), _u8352), _u8354)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8351), _u8352), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8351), _u8353), _u8354))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8355), _u8356), _u8357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8355), _u8358), _u8359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8355), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8355), _u8356), _u8358)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8355), _u8357), _u8359))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8360), _u8361), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8360), _u8362), _u8363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8360), _u8361), _u8362)) )).
% 28.96/29.19 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u8360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8360), _u8361), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8360), _u8362), _u8363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8360), _u8361), _u8363)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8364), _u8365), _u8366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8364), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8364), _u8367), _u8365)), _u8366)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8368), _u8369), _u8370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8368), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8368), _u8369), _u8371)), _u8370)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8372, tc_HOL_Obool)), _u8373), _u8374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8372, tc_HOL_Obool)), _u8375), _u8376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8372, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8372, tc_HOL_Obool)), _u8373), _u8375)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8372, tc_HOL_Obool)), _u8374), _u8376))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8377, tc_HOL_Obool)), _u8378), _u8379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8377, tc_HOL_Obool)), _u8378), _u8380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8377, tc_HOL_Obool)), _u8378), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8377, tc_HOL_Obool)), _u8379), _u8380))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8381, tc_HOL_Obool)), _u8382), _u8383)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8381, tc_HOL_Obool)), _u8383), _u8382) = _u8382) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8384, tc_HOL_Obool)), _u8385), _u8386)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8384, tc_HOL_Obool)), _u8385), _u8386) = _u8385) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8387, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8387, tc_HOL_Obool)), _u8388), _u8389)), _u8389)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8390, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8390, tc_HOL_Obool)), _u8391), _u8392)), _u8391)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8393, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))), _u8394) = c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8395, tc_HOL_Obool)), _u8396), c_Orderings_Obot__class_Obot(tc_fun(_u8395, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8395, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8404, tc_HOL_Obool)), _u8406), _u8408) != c_Orderings_Obot__class_Obot(tc_fun(_u8404, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8404), _u8398), _u8406)) | ~hBOOL(hAPP(hAPP(c_member(_u8404), _u8397), _u8408)) | ( _u8398 != _u8397) )).
% 28.96/29.19 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8405, tc_HOL_Obool)), _u8407), _u8409) = c_Orderings_Obot__class_Obot(tc_fun(_u8405, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8405), skolem129(_u8409, _u8407, _u8405)), _u8407)) )).
% 28.96/29.19 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8405, tc_HOL_Obool)), _u8407), _u8409) = c_Orderings_Obot__class_Obot(tc_fun(_u8405, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8405), skolem130(_u8409, _u8407, _u8405)), _u8409)) )).
% 28.96/29.19 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8405, tc_HOL_Obool)), _u8407), _u8409) = c_Orderings_Obot__class_Obot(tc_fun(_u8405, tc_HOL_Obool))) | ( skolem129(_u8409, _u8407, _u8405) = skolem130(_u8409, _u8407, _u8405)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8410) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8410), _u8411), c_Orderings_Obot__class_Obot(_u8410)) = c_Orderings_Obot__class_Obot(_u8410)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u8412) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8412), c_Orderings_Obot__class_Obot(_u8412)), _u8413) = c_Orderings_Obot__class_Obot(_u8412)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8414), _u8415), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8414, tc_HOL_Obool)), _u8416), _u8417))) | hBOOL(hAPP(hAPP(c_member(_u8414), _u8415), _u8417)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8418), _u8419), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8418, tc_HOL_Obool)), _u8420), _u8421))) | hBOOL(hAPP(hAPP(c_member(_u8418), _u8419), _u8420)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8426), _u8428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8426, tc_HOL_Obool)), _u8430), _u8432))) | hBOOL(hAPP(hAPP(c_member(_u8426), _u8428), _u8430)) )).
% 28.96/29.19 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8426), _u8428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8426, tc_HOL_Obool)), _u8430), _u8432))) | hBOOL(hAPP(hAPP(c_member(_u8426), _u8428), _u8432)) )).
% 28.96/29.19 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8427), _u8429), _u8431)) | ~hBOOL(hAPP(hAPP(c_member(_u8427), _u8429), _u8433)) | hBOOL(hAPP(hAPP(c_member(_u8427), _u8429), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8427, tc_HOL_Obool)), _u8431), _u8433))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8434, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8434), _u8435), _u8436)), hAPP(hAPP(c_Set_Oinsert(_u8434), _u8435), _u8437)) = hAPP(hAPP(c_Set_Oinsert(_u8434), _u8435), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8434, tc_HOL_Obool)), _u8436), _u8437))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8438) | ~class_Orderings_Olinorder(_u8438) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u8438) = c_Orderings_Oord__class_Omin(_u8438)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u8439) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8440, _u8439)), _u8441), _u8442), _u8443) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8439), hAPP(_u8441, _u8443)), hAPP(_u8442, _u8443))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u8444) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8445, _u8444)), _u8446), _u8447), _u8448) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8444), hAPP(_u8446, _u8448)), hAPP(_u8447, _u8448))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8449) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8449), _u8450), _u8451)), _u8452) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8449), _u8450), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8449), _u8451), _u8452))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u8453) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8453), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8453), _u8454), _u8455)), _u8456) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8453), _u8454), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8453), _u8455), _u8456))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8457), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8457), _u8458), _u8459)), _u8460) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8457), _u8458), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8457), _u8459), _u8460))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8461) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8461), _u8462), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8461), _u8463), _u8464)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8461), _u8463), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8461), _u8462), _u8464))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u8465) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8465), _u8466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8465), _u8467), _u8468)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8465), _u8467), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8465), _u8466), _u8468))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8469) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8469), _u8470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8469), _u8471), _u8472)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8469), _u8471), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8469), _u8470), _u8472))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8473), _u8474), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8473), _u8474), _u8475)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8473), _u8474), _u8475)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u8476) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8476), _u8477), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8476), _u8477), _u8478)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8476), _u8477), _u8478)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8479) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8479), _u8480), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8479), _u8480), _u8481)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8479), _u8480), _u8481)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8482) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8482), _u8483), _u8484) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8482), _u8484), _u8483)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u8485) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8485), _u8486), _u8487) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8485), _u8487), _u8486)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8488) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8488), _u8489), _u8490) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8488), _u8490), _u8489)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8491) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8491), _u8492), _u8492) = _u8492) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8493) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8493), _u8494), _u8494) = _u8494) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8495, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8495, tc_HOL_Obool)), _u8496), _u8497)), _u8498) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8495, tc_HOL_Obool)), _u8496), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8495, tc_HOL_Obool)), _u8497), _u8498))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8499, tc_HOL_Obool)), _u8500), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8499, tc_HOL_Obool)), _u8501), _u8502)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8499, tc_HOL_Obool)), _u8501), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8499, tc_HOL_Obool)), _u8500), _u8502))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8503, tc_HOL_Obool)), _u8504), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8503, tc_HOL_Obool)), _u8504), _u8505)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8503, tc_HOL_Obool)), _u8504), _u8505)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8506, tc_HOL_Obool)), _u8507), _u8508) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8506, tc_HOL_Obool)), _u8508), _u8507)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8509, tc_HOL_Obool)), _u8510), _u8510) = _u8510) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u8513, _u8514)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8511, tc_HOL_Obool)), _u8512), _u8513), _u8514)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u8516, _u8518)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8515, tc_HOL_Obool)), _u8516), _u8517), _u8518)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u8519) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8519), _u8520), _u8520) = _u8520) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8521) | ~c_Nat__Transfer_Onat__set(_u8522) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8521), _u8522)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8523, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8523, tc_HOL_Obool)), _u8524), _u8525)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8523, tc_HOL_Obool)), _u8526), _u8525)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8523, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8523, tc_HOL_Obool)), _u8524), _u8525)), _u8526)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8527, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8527, tc_HOL_Obool)), _u8528), _u8529)), _u8530) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8527, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8527, tc_HOL_Obool)), _u8528), _u8530)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8527, tc_HOL_Obool)), _u8529), _u8530))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8531, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8531, tc_HOL_Obool)), _u8532), _u8533)), _u8534) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8531, tc_HOL_Obool)), _u8532), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8531, tc_HOL_Obool)), _u8533), _u8534))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8535, tc_HOL_Obool)), _u8536), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8535, tc_HOL_Obool)), _u8537), _u8538)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8535, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8535, tc_HOL_Obool)), _u8536), _u8537)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8535, tc_HOL_Obool)), _u8536), _u8538))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8539, tc_HOL_Obool)), _u8540), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8539, tc_HOL_Obool)), _u8541), _u8542)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8539, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8539, tc_HOL_Obool)), _u8540), _u8541)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8539, tc_HOL_Obool)), _u8540), _u8542))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8543, tc_HOL_Obool)), _u8544), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8543, tc_HOL_Obool)), _u8545), _u8546)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8543, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8543, tc_HOL_Obool)), _u8544), _u8545)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8543, tc_HOL_Obool)), _u8544), _u8546))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8547, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8547, tc_HOL_Obool)), _u8548), _u8549)), _u8550) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8547, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8547, tc_HOL_Obool)), _u8548), _u8550)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8547, tc_HOL_Obool)), _u8549), _u8550))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8551, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8551, tc_HOL_Obool)), _u8552), _u8553)), _u8554) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8551, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8551, tc_HOL_Obool)), _u8552), _u8554)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8551, tc_HOL_Obool)), _u8553), _u8554))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), _u8556), _u8557)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), _u8557), _u8558))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), _u8558), _u8556)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), _u8556), _u8557)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), _u8557), _u8558))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), _u8558), _u8556))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u8559) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8559), _u8560), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8559), _u8560), _u8561)) = _u8560) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u8562) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8562), _u8563), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8562), _u8563), _u8564)) = _u8563) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u8565) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8565), _u8566), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8565), _u8567), _u8568)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8565), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8565), _u8566), _u8567)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8565), _u8566), _u8568))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u8569) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8569), _u8570), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8569), _u8571), _u8572)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8569), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8569), _u8570), _u8571)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8569), _u8570), _u8572))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u8573) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8573), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8573), _u8574), _u8575)), _u8576) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8573), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8573), _u8574), _u8576)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8573), _u8575), _u8576))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u8577) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8577), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8577), _u8578), _u8579)), _u8580) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8577), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8577), _u8578), _u8580)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8577), _u8579), _u8580))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8581), c_Orderings_Obot__class_Obot(tc_fun(_u8581, tc_HOL_Obool))), _u8582) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8581, tc_HOL_Obool), tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8586, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8586), _u8588), _u8590)) | ( _u8588 = c_Orderings_Obot__class_Obot(tc_fun(_u8586, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u8589 != c_Orderings_Obot__class_Obot(tc_fun(_u8587, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8587, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8587), _u8589), _u8591)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8595), _u8597), _u8599) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8595, tc_HOL_Obool), tc_HOL_Obool))) | ( _u8597 = c_Orderings_Obot__class_Obot(tc_fun(_u8595, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_quotient__is__empty-2, axiom, ( ( _u8598 != c_Orderings_Obot__class_Obot(tc_fun(_u8596, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8596), _u8598), _u8600) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8596, tc_HOL_Obool), tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8605, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8605, tc_fun(_u8605, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8605)), _u8607)), hAPP(hAPP(c_COMBC(_u8605, tc_fun(_u8605, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8605)), _u8609)), _u8611)) | hBOOL(hAPP(hAPP(c_member(_u8605), _u8611), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8605, tc_HOL_Obool)), _u8607), _u8609))) )).
% 28.96/29.19 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8606), _u8612), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8606, tc_HOL_Obool)), _u8608), _u8610))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8606, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8606, tc_fun(_u8606, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8606)), _u8608)), hAPP(hAPP(c_COMBC(_u8606, tc_fun(_u8606, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8606)), _u8610)), _u8612)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u8613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8613), _u8614), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8613), _u8615), _u8616))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8613), _u8614), _u8615)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8613), _u8614), _u8616)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u8617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8617), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8617), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8617), _u8618), _u8619)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8617), _u8618), _u8620))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8617), _u8618), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8617), _u8619), _u8620)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8621) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8621), _u8622), hAPP(c_Groups_Ouminus__class_Ouminus(_u8621), _u8622)) = c_Orderings_Obot__class_Obot(_u8621)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8623) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8623), hAPP(c_Groups_Ouminus__class_Ouminus(_u8623), _u8624)), _u8624) = c_Orderings_Obot__class_Obot(_u8623)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8625) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8625), _u8626), _u8627) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8625), _u8626), hAPP(c_Groups_Ouminus__class_Ouminus(_u8625), _u8627))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8628) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8628), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8628), _u8629), _u8630)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8628), hAPP(c_Groups_Ouminus__class_Ouminus(_u8628), _u8629)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8628), _u8630))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8631) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8631), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8631), _u8632), _u8633)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8631), hAPP(c_Groups_Ouminus__class_Ouminus(_u8631), _u8632)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8631), _u8633))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8634), _u8635), _u8636)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8634, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8634), _u8635), _u8637)), _u8636) = hAPP(hAPP(c_Set_Oinsert(_u8634), _u8635), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8634, tc_HOL_Obool)), _u8637), _u8636))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8638), _u8639), _u8640)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8638, tc_HOL_Obool)), _u8640), hAPP(hAPP(c_Set_Oinsert(_u8638), _u8639), _u8641)) = hAPP(hAPP(c_Set_Oinsert(_u8638), _u8639), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8638, tc_HOL_Obool)), _u8640), _u8641))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8642), _u8643), _u8644)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8642, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8642), _u8643), _u8645)), _u8644) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8642, tc_HOL_Obool)), _u8645), _u8644)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8646), _u8647), _u8648)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8646, tc_HOL_Obool)), _u8648), hAPP(hAPP(c_Set_Oinsert(_u8646), _u8647), _u8649)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8646, tc_HOL_Obool)), _u8648), _u8649)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8654), _u8656), _u8658)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8654, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8654), _u8656), _u8660)), _u8658) = hAPP(hAPP(c_Set_Oinsert(_u8654), _u8656), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8654, tc_HOL_Obool)), _u8660), _u8658))) )).
% 28.96/29.19 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8655), _u8657), _u8659)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8655, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8655), _u8657), _u8661)), _u8659) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8655, tc_HOL_Obool)), _u8661), _u8659)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8666), _u8668), _u8670)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8666, tc_HOL_Obool)), _u8670), hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), _u8672)) = hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8666, tc_HOL_Obool)), _u8670), _u8672))) )).
% 28.96/29.19 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8667), _u8669), _u8671)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8667, tc_HOL_Obool)), _u8671), hAPP(hAPP(c_Set_Oinsert(_u8667), _u8669), _u8673)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8667, tc_HOL_Obool)), _u8671), _u8673)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8674, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8675, _u8674, _u8676), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8675, tc_HOL_Obool)), _u8677), _u8678))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8674, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8675, _u8674, _u8676), _u8677)), hAPP(c_Set_Oimage(_u8675, _u8674, _u8676), _u8678)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8679, tc_HOL_Obool)), _u8680), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8679, tc_HOL_Obool)), _u8681), _u8680)) = c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8682, tc_HOL_Obool)), _u8683), _u8684) != c_Orderings_Obot__class_Obot(tc_fun(_u8682, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8682, tc_HOL_Obool)), _u8683), _u8684) = _u8683) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8689, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8689, tc_HOL_Obool)), _u8691), _u8693)), _u8695) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8689, tc_HOL_Obool)), _u8691), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8689, tc_HOL_Obool)), _u8693), _u8695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8689, tc_HOL_Obool)), _u8695), _u8691)) )).
% 28.96/29.19 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8690, tc_HOL_Obool)), _u8696), _u8692)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8690, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8690, tc_HOL_Obool)), _u8692), _u8694)), _u8696) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8690, tc_HOL_Obool)), _u8692), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8690, tc_HOL_Obool)), _u8694), _u8696))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8697, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8697, tc_HOL_Obool)), _u8698), _u8699)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8697, tc_HOL_Obool)), _u8698), _u8699)) = _u8698) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8700, tc_HOL_Obool)), _u8701), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8700, tc_HOL_Obool)), _u8702), _u8703)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8700, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8700, tc_HOL_Obool)), _u8701), _u8702)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8700, tc_HOL_Obool)), _u8701), _u8703))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8704, tc_HOL_Obool)), _u8705), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8704, tc_HOL_Obool)), _u8706), _u8707)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8704, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8704, tc_HOL_Obool)), _u8705), _u8706)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8704, tc_HOL_Obool)), _u8705), _u8707))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u8708), _u8709) = 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)), _u8708)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8709)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8710, tc_HOL_Obool)), _u8711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8710, tc_HOL_Obool)), _u8711)) = c_Orderings_Obot__class_Obot(tc_fun(_u8710, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8712, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8712, tc_HOL_Obool)), _u8713)), _u8713) = c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8714, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8715, _u8714, _u8716), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8715, tc_HOL_Obool)), _u8717), _u8718))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8714, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8715, _u8714, _u8716), _u8717)), hAPP(c_Relation_OImage(_u8715, _u8714, _u8716), _u8718)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8719, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8719, tc_HOL_Obool)), _u8720), _u8721)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8719, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8719, tc_HOL_Obool)), _u8720)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8719, tc_HOL_Obool)), _u8721))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8722, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8722, tc_HOL_Obool)), _u8723), _u8724)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8722, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8722, tc_HOL_Obool)), _u8723)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8722, tc_HOL_Obool)), _u8724))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8725, tc_HOL_Obool)), _u8726), _u8727) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8725, tc_HOL_Obool)), _u8726), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8725, tc_HOL_Obool)), _u8727))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8728, tc_HOL_Obool)), _u8729), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8728, tc_HOL_Obool)), _u8730)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8728, tc_HOL_Obool)), _u8729), _u8730)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u8731) | ~c_Nat__Transfer_Onat__set(_u8732) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8731), _u8732) = 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), _u8731)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8732)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8736, tc_HOL_Obool)), _u8738), _u8740) != c_Orderings_Obot__class_Obot(tc_fun(_u8736, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8736, tc_HOL_Obool)), _u8738), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8736, tc_HOL_Obool)), _u8740))) )).
% 28.96/29.19 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8737, tc_HOL_Obool)), _u8739), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8737, tc_HOL_Obool)), _u8741))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8737, tc_HOL_Obool)), _u8739), _u8741) = c_Orderings_Obot__class_Obot(tc_fun(_u8737, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8743), _u8748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8743), _u8749)) | ( hAPP(hAPP(_u8744, hAPP(_u8747, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8743, tc_HOL_Obool)), _u8748), _u8749))), hAPP(_u8747, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8743, tc_HOL_Obool)), _u8748), _u8749))) = hAPP(hAPP(_u8744, hAPP(_u8747, _u8748)), hAPP(_u8747, _u8749))) | ~c_Finite__Set_Ofolding__image__simple(_u8742, _u8743, _u8744, _u8745, _u8746, _u8747) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8750), hAPP(hAPP(c_Set_Oinsert(_u8750), _u8751), c_Orderings_Obot__class_Obot(tc_fun(_u8750, tc_HOL_Obool)))), _u8752) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u8750, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8750, _u8750, _u8752), hAPP(hAPP(c_Set_Oinsert(_u8750), _u8751), c_Orderings_Obot__class_Obot(tc_fun(_u8750, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8750, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u8753, _u8754, _u8755, _u8756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8753), _u8757)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8753), _u8758)) | ( hAPP(c_Fun_Ocomp(_u8754, _u8754, _u8754, hAPP(_u8756, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8753, tc_HOL_Obool)), _u8757), _u8758))), hAPP(_u8756, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8753, tc_HOL_Obool)), _u8757), _u8758))) = hAPP(c_Fun_Ocomp(_u8754, _u8754, _u8754, hAPP(_u8756, _u8757)), hAPP(_u8756, _u8758))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8760), _u8765)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8760), _u8766)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8760, tc_HOL_Obool)), _u8765), _u8766) != c_Orderings_Obot__class_Obot(tc_fun(_u8760, tc_HOL_Obool))) | ( hAPP(_u8764, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8760, tc_HOL_Obool)), _u8765), _u8766)) = hAPP(hAPP(_u8761, hAPP(_u8764, _u8765)), hAPP(_u8764, _u8766))) | ~c_Finite__Set_Ofolding__image__simple(_u8759, _u8760, _u8761, _u8762, _u8763, _u8764) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8767, _u8768, _u8769) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8767), _u8770)) | ( _u8770 = c_Orderings_Obot__class_Obot(tc_fun(_u8767, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8767), _u8771)) | ( _u8771 = c_Orderings_Obot__class_Obot(tc_fun(_u8767, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8767, tc_HOL_Obool)), _u8770), _u8771) != c_Orderings_Obot__class_Obot(tc_fun(_u8767, tc_HOL_Obool))) | ( hAPP(_u8769, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8767, tc_HOL_Obool)), _u8770), _u8771)) = hAPP(hAPP(_u8768, hAPP(_u8769, _u8770)), hAPP(_u8769, _u8771))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u8772, _u8773, _u8774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8772), _u8775)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8772), _u8776)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8772, tc_HOL_Obool)), _u8775), _u8776) = c_Orderings_Obot__class_Obot(tc_fun(_u8772, tc_HOL_Obool))) | ( hAPP(hAPP(_u8773, hAPP(_u8774, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8772, tc_HOL_Obool)), _u8775), _u8776))), hAPP(_u8774, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8772, tc_HOL_Obool)), _u8775), _u8776))) = hAPP(hAPP(_u8773, hAPP(_u8774, _u8775)), hAPP(_u8774, _u8776))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8777), _u8778), _u8779)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8777, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8777, _u8777, _u8780), hAPP(hAPP(c_Set_Oinsert(_u8777), _u8778), c_Orderings_Obot__class_Obot(tc_fun(_u8777, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8777), _u8779), _u8780))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8781, _u8782, _u8783) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8781, tc_HOL_Obool)), _u8784), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8781), _u8782), _u8783))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8781, tc_HOL_Obool)), _u8785), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8781), _u8782), _u8783))) | ~hBOOL(hAPP(hAPP(c_member(_u8781), _u8786), _u8784)) | ~hBOOL(hAPP(hAPP(c_member(_u8781), _u8787), _u8785)) | ( _u8784 != _u8785) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8781, _u8781)), hAPP(hAPP(c_Product__Type_OPair(_u8781, _u8781), _u8786), _u8787)), _u8783)) )).
% 28.96/29.19 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u8781, _u8782, _u8783) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8781, tc_HOL_Obool)), _u8784), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8781), _u8782), _u8783))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8781, tc_HOL_Obool)), _u8785), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8781), _u8782), _u8783))) | ~hBOOL(hAPP(hAPP(c_member(_u8781), _u8786), _u8784)) | ~hBOOL(hAPP(hAPP(c_member(_u8781), _u8787), _u8785)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8781, _u8781)), hAPP(hAPP(c_Product__Type_OPair(_u8781, _u8781), _u8786), _u8787)), _u8783)) | ( _u8784 = _u8785) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u8788, _u8789, _u8790) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8788, tc_HOL_Obool)), _u8791), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8788), _u8789), _u8790))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8788, tc_HOL_Obool)), _u8792), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8788), _u8789), _u8790))) | ~hBOOL(hAPP(hAPP(c_member(_u8788), _u8793), _u8791)) | ~hBOOL(hAPP(hAPP(c_member(_u8788), _u8794), _u8792)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8788, _u8788)), hAPP(hAPP(c_Product__Type_OPair(_u8788, _u8788), _u8793), _u8794)), _u8790)) | ( _u8791 = _u8792) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u8795, _u8796, _u8797, _u8798) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8795), _u8799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8795), _u8800)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8795, tc_HOL_Obool)), _u8799), _u8800) != c_Orderings_Obot__class_Obot(tc_fun(_u8795, tc_HOL_Obool))) | ( hAPP(_u8798, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8795, tc_HOL_Obool)), _u8799), _u8800)) = hAPP(c_Fun_Ocomp(_u8796, _u8796, _u8796, hAPP(_u8798, _u8799)), hAPP(_u8798, _u8800))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u8809, _u8807), _u8811)) | ~hBOOL(hAPP(hAPP(c_member(_u8805), _u8807), c_SetInterval_Oord_OatMost(_u8805, _u8809, _u8811))) )).
% 28.96/29.19 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u8810, _u8808), _u8812)) | hBOOL(hAPP(hAPP(c_member(_u8806), _u8808), c_SetInterval_Oord_OatMost(_u8806, _u8810, _u8812))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u8821, _u8823), _u8819)) | ~hBOOL(hAPP(hAPP(c_member(_u8817), _u8819), c_SetInterval_Oord_OatLeast(_u8817, _u8821, _u8823))) )).
% 28.96/29.19 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u8822, _u8824), _u8820)) | hBOOL(hAPP(hAPP(c_member(_u8818), _u8820), c_SetInterval_Oord_OatLeast(_u8818, _u8822, _u8824))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u8833, _u8831), _u8835)) | ~hBOOL(hAPP(hAPP(c_member(_u8829), _u8831), c_SetInterval_Oord_OlessThan(_u8829, _u8833, _u8835))) )).
% 28.96/29.19 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u8834, _u8832), _u8836)) | hBOOL(hAPP(hAPP(c_member(_u8830), _u8832), c_SetInterval_Oord_OlessThan(_u8830, _u8834, _u8836))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u8845, _u8847), _u8843)) | ~hBOOL(hAPP(hAPP(c_member(_u8841), _u8843), c_SetInterval_Oord_OgreaterThan(_u8841, _u8845, _u8847))) )).
% 28.96/29.19 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u8846, _u8848), _u8844)) | hBOOL(hAPP(hAPP(c_member(_u8842), _u8844), c_SetInterval_Oord_OgreaterThan(_u8842, _u8846, _u8848))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8855, tc_fun(_u8857, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8855, tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_fun(_u8857, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8857, tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_fun(_u8857, tc_HOL_Obool)), _u8855), c_COMBC(_u8857, tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8857, tc_prod(_u8855, _u8857)), tc_fun(_u8857, tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), _u8855), hAPP(c_COMBB(tc_prod(_u8855, _u8857), tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool), _u8857), c_member(tc_prod(_u8855, _u8857)))), c_Product__Type_OPair(_u8855, _u8857)))), _u8859)), hAPP(hAPP(c_COMBC(_u8855, tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_fun(_u8857, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8857, tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_fun(_u8857, tc_HOL_Obool)), _u8855), c_COMBC(_u8857, tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8857, tc_prod(_u8855, _u8857)), tc_fun(_u8857, tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), _u8855), hAPP(c_COMBB(tc_prod(_u8855, _u8857), tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool), _u8857), c_member(tc_prod(_u8855, _u8857)))), c_Product__Type_OPair(_u8855, _u8857)))), _u8861)), _u8863), _u8865)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8855, _u8857)), hAPP(hAPP(c_Product__Type_OPair(_u8855, _u8857), _u8863), _u8865)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool)), _u8859), _u8861))) )).
% 28.96/29.19 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8856, _u8858)), hAPP(hAPP(c_Product__Type_OPair(_u8856, _u8858), _u8864), _u8866)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool)), _u8860), _u8862))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8856, tc_fun(_u8858, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8856, tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_fun(_u8858, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8858, tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_fun(_u8858, tc_HOL_Obool)), _u8856), c_COMBC(_u8858, tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8858, tc_prod(_u8856, _u8858)), tc_fun(_u8858, tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), _u8856), hAPP(c_COMBB(tc_prod(_u8856, _u8858), tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool), _u8858), c_member(tc_prod(_u8856, _u8858)))), c_Product__Type_OPair(_u8856, _u8858)))), _u8860)), hAPP(hAPP(c_COMBC(_u8856, tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_fun(_u8858, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8858, tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_fun(_u8858, tc_HOL_Obool)), _u8856), c_COMBC(_u8858, tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8858, tc_prod(_u8856, _u8858)), tc_fun(_u8858, tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), _u8856), hAPP(c_COMBB(tc_prod(_u8856, _u8858), tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool), _u8858), c_member(tc_prod(_u8856, _u8858)))), c_Product__Type_OPair(_u8856, _u8858)))), _u8862)), _u8864), _u8866)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8868, tc_HOL_Obool)), _u8869), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8868), _u8870), _u8871))) | ( _u8869 = hAPP(c_Relation_OImage(_u8868, _u8868, _u8871), hAPP(hAPP(c_Set_Oinsert(_u8868), skolem131(_u8871, _u8870, _u8869, _u8868)), c_Orderings_Obot__class_Obot(tc_fun(_u8868, tc_HOL_Obool))))) )).
% 28.96/29.19 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8868, tc_HOL_Obool)), _u8869), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8868), _u8870), _u8871))) | hBOOL(hAPP(hAPP(c_member(_u8868), skolem131(_u8871, _u8870, _u8869, _u8868)), _u8870)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8878), _u8880), c_SetInterval_Oord_OgreaterThanAtMost(_u8878, _u8882, _u8884, _u8886, _u8888))) | hBOOL(hAPP(hAPP(_u8884, _u8886), _u8880)) )).
% 28.96/29.19 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8878), _u8880), c_SetInterval_Oord_OgreaterThanAtMost(_u8878, _u8882, _u8884, _u8886, _u8888))) | hBOOL(hAPP(hAPP(_u8882, _u8880), _u8888)) )).
% 28.96/29.19 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u8885, _u8887), _u8881)) | ~hBOOL(hAPP(hAPP(_u8883, _u8881), _u8889)) | hBOOL(hAPP(hAPP(c_member(_u8879), _u8881), c_SetInterval_Oord_OgreaterThanAtMost(_u8879, _u8883, _u8885, _u8887, _u8889))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8896), _u8898), c_SetInterval_Oord_OatLeastLessThan(_u8896, _u8900, _u8902, _u8904, _u8906))) | hBOOL(hAPP(hAPP(_u8900, _u8904), _u8898)) )).
% 28.96/29.19 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8896), _u8898), c_SetInterval_Oord_OatLeastLessThan(_u8896, _u8900, _u8902, _u8904, _u8906))) | hBOOL(hAPP(hAPP(_u8902, _u8898), _u8906)) )).
% 28.96/29.19 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u8901, _u8905), _u8899)) | ~hBOOL(hAPP(hAPP(_u8903, _u8899), _u8907)) | hBOOL(hAPP(hAPP(c_member(_u8897), _u8899), c_SetInterval_Oord_OatLeastLessThan(_u8897, _u8901, _u8903, _u8905, _u8907))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8913), _u8915), c_SetInterval_Oord_OgreaterThanLessThan(_u8913, _u8917, _u8919, _u8921))) | hBOOL(hAPP(hAPP(_u8917, _u8919), _u8915)) )).
% 28.96/29.19 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8913), _u8915), c_SetInterval_Oord_OgreaterThanLessThan(_u8913, _u8917, _u8919, _u8921))) | hBOOL(hAPP(hAPP(_u8917, _u8915), _u8921)) )).
% 28.96/29.19 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u8918, _u8920), _u8916)) | ~hBOOL(hAPP(hAPP(_u8918, _u8916), _u8922)) | hBOOL(hAPP(hAPP(c_member(_u8914), _u8916), c_SetInterval_Oord_OgreaterThanLessThan(_u8914, _u8918, _u8920, _u8922))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8923, tc_fun(_u8924, tc_HOL_Obool))), _u8925), _u8926), _u8927), _u8928)) | hBOOL(hAPP(hAPP(_u8925, _u8927), _u8928)) )).
% 28.96/29.19 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8923, tc_fun(_u8924, tc_HOL_Obool))), _u8925), _u8926), _u8927), _u8928)) | hBOOL(hAPP(hAPP(_u8926, _u8927), _u8928)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8929, _u8930), _u8931)) | ~hBOOL(hAPP(hAPP(_u8932, _u8930), _u8931)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8933, tc_fun(_u8934, tc_HOL_Obool))), _u8929), _u8932), _u8930), _u8931)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u8938, _u8939), _u8940)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8935, tc_fun(_u8936, tc_HOL_Obool))), _u8937), _u8938), _u8939), _u8940)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u8943, _u8945), _u8946)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8941, tc_fun(_u8942, tc_HOL_Obool))), _u8943), _u8944), _u8945), _u8946)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8952), _u8954), c_SetInterval_Oord_OatLeastAtMost(_u8952, _u8956, _u8958, _u8960))) | hBOOL(hAPP(hAPP(_u8956, _u8958), _u8954)) )).
% 28.96/29.19 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8952), _u8954), c_SetInterval_Oord_OatLeastAtMost(_u8952, _u8956, _u8958, _u8960))) | hBOOL(hAPP(hAPP(_u8956, _u8954), _u8960)) )).
% 28.96/29.19 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u8957, _u8959), _u8955)) | ~hBOOL(hAPP(hAPP(_u8957, _u8955), _u8961)) | hBOOL(hAPP(hAPP(c_member(_u8953), _u8955), c_SetInterval_Oord_OatLeastAtMost(_u8953, _u8957, _u8959, _u8961))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u8962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8962), _u8963)) | ~hBOOL(hAPP(hAPP(c_member(_u8962), _u8964), _u8963)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8962, tc_HOL_Obool)), _u8963), hAPP(hAPP(c_Set_Oinsert(_u8962), _u8964), c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u8962, _u8963) = _u8964) )).
% 28.96/29.19 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u8962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8962), _u8963)) | ~hBOOL(hAPP(hAPP(c_member(_u8962), _u8964), _u8963)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8962, tc_HOL_Obool)), _u8963), hAPP(hAPP(c_Set_Oinsert(_u8962), _u8964), c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u8962, _u8963) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8962), _u8964), c_Big__Operators_Olattice__class_OInf__fin(_u8962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8962, tc_HOL_Obool)), _u8963), hAPP(hAPP(c_Set_Oinsert(_u8962), _u8964), c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u8965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8965), _u8966)) | ~hBOOL(hAPP(hAPP(c_member(_u8965), _u8967), _u8966)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8965, tc_HOL_Obool)), _u8966), hAPP(hAPP(c_Set_Oinsert(_u8965), _u8967), c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u8965, _u8966) = _u8967) )).
% 28.96/29.19 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u8965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8965), _u8966)) | ~hBOOL(hAPP(hAPP(c_member(_u8965), _u8967), _u8966)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8965, tc_HOL_Obool)), _u8966), hAPP(hAPP(c_Set_Oinsert(_u8965), _u8967), c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u8965, _u8966) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8965), _u8967), c_Big__Operators_Olattice__class_OSup__fin(_u8965, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8965, tc_HOL_Obool)), _u8966), hAPP(hAPP(c_Set_Oinsert(_u8965), _u8967), c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8968), _u8969)) | ~hBOOL(hAPP(hAPP(c_member(_u8968), _u8970), _u8969)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8968, tc_HOL_Obool)), _u8969), hAPP(hAPP(c_Set_Oinsert(_u8968), _u8970), c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8968, _u8969) = _u8970) )).
% 28.96/29.19 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8968), _u8969)) | ~hBOOL(hAPP(hAPP(c_member(_u8968), _u8970), _u8969)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8968, tc_HOL_Obool)), _u8969), hAPP(hAPP(c_Set_Oinsert(_u8968), _u8970), c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8968, _u8969) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8968), _u8970), c_Big__Operators_Olinorder__class_OMax(_u8968, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8968, tc_HOL_Obool)), _u8969), hAPP(hAPP(c_Set_Oinsert(_u8968), _u8970), c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u8971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8972)) | ( _u8972 = c_Orderings_Obot__class_Obot(tc_fun(_u8971, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8971), c_Big__Operators_Olattice__class_OInf__fin(_u8971, _u8972)), c_Big__Operators_Olattice__class_OSup__fin(_u8971, _u8972))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8973) | ( c_Big__Operators_Olinorder__class_OMax(_u8973, hAPP(hAPP(c_Set_Oinsert(_u8973), _u8974), c_Orderings_Obot__class_Obot(tc_fun(_u8973, tc_HOL_Obool)))) = _u8974) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u8975) | ( c_Big__Operators_Olattice__class_OInf__fin(_u8975, hAPP(hAPP(c_Set_Oinsert(_u8975), _u8976), c_Orderings_Obot__class_Obot(tc_fun(_u8975, tc_HOL_Obool)))) = _u8976) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u8977) | ( c_Big__Operators_Olattice__class_OSup__fin(_u8977, hAPP(hAPP(c_Set_Oinsert(_u8977), _u8978), c_Orderings_Obot__class_Obot(tc_fun(_u8977, tc_HOL_Obool)))) = _u8978) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u8979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8979), _u8980)) | ~hBOOL(hAPP(hAPP(c_member(_u8979), _u8981), _u8980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8979), _u8981), c_Big__Operators_Olinorder__class_OMax(_u8979, _u8980))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u8982) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8982), _u8983)) | ( _u8983 = c_Orderings_Obot__class_Obot(tc_fun(_u8982, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8982), c_Big__Operators_Olinorder__class_OMax(_u8982, _u8983)), _u8983)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u8984) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8984), _u8985)) | ~hBOOL(hAPP(hAPP(c_member(_u8984), _u8986), _u8985)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8984), _u8986), c_Big__Operators_Olattice__class_OSup__fin(_u8984, _u8985)) = c_Big__Operators_Olattice__class_OSup__fin(_u8984, _u8985)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u8987) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8987), _u8988)) | ~hBOOL(hAPP(hAPP(c_member(_u8987), _u8989), _u8988)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8987), _u8989), c_Big__Operators_Olattice__class_OInf__fin(_u8987, _u8988)) = _u8989) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u8990) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8990), _u8991)) | ~hBOOL(hAPP(hAPP(c_member(_u8990), _u8992), _u8991)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8990), _u8992), c_Big__Operators_Olattice__class_OInf__fin(_u8990, _u8991)) = c_Big__Operators_Olattice__class_OInf__fin(_u8990, _u8991)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u8993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8993), _u8994)) | ~hBOOL(hAPP(hAPP(c_member(_u8993), _u8995), _u8994)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8993), _u8995), c_Big__Operators_Olattice__class_OSup__fin(_u8993, _u8994)) = _u8995) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8996) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8996), _u8997)) | ~hBOOL(hAPP(hAPP(c_member(_u8996), _u8998), _u8997)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8996), _u8998), c_Big__Operators_Olinorder__class_OMax(_u8996, _u8997)) = c_Big__Operators_Olinorder__class_OMax(_u8996, _u8997)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8999, tc_HOL_Obool)), _u9000), _u9001)) | ( _u9000 = c_Orderings_Obot__class_Obot(tc_fun(_u8999, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8999), _u9001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8999), c_Big__Operators_Olinorder__class_OMax(_u8999, _u9000)), c_Big__Operators_Olinorder__class_OMax(_u8999, _u9001))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u9002) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9002), _u9003)) | ( _u9003 = c_Orderings_Obot__class_Obot(tc_fun(_u9002, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9002, hAPP(hAPP(c_Set_Oinsert(_u9002), _u9004), _u9003)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9002), _u9004), c_Big__Operators_Olattice__class_OSup__fin(_u9002, _u9003))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u9005) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9005), _u9006)) | ( _u9006 = c_Orderings_Obot__class_Obot(tc_fun(_u9005, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9005, hAPP(hAPP(c_Set_Oinsert(_u9005), _u9007), _u9006)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9005), _u9007), c_Big__Operators_Olattice__class_OInf__fin(_u9005, _u9006))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u9008) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9008), _u9009)) | ( _u9010 = c_Orderings_Obot__class_Obot(tc_fun(_u9008, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9008, tc_HOL_Obool)), _u9010), _u9009)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9008), c_Big__Operators_Olattice__class_OSup__fin(_u9008, _u9010)), c_Big__Operators_Olattice__class_OSup__fin(_u9008, _u9009)) = c_Big__Operators_Olattice__class_OSup__fin(_u9008, _u9009)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9011) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9011), _u9012)) | ( _u9012 = c_Orderings_Obot__class_Obot(tc_fun(_u9011, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9011, hAPP(hAPP(c_Set_Oinsert(_u9011), _u9013), _u9012)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9011), _u9013), c_Big__Operators_Olinorder__class_OMax(_u9011, _u9012))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u9014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9014), _u9015)) | ( _u9016 = c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9014, tc_HOL_Obool)), _u9016), _u9015)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9014), c_Big__Operators_Olattice__class_OInf__fin(_u9014, _u9016)), c_Big__Operators_Olattice__class_OInf__fin(_u9014, _u9015)) = c_Big__Operators_Olattice__class_OInf__fin(_u9014, _u9015)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u9017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9017), _u9018)) | ( _u9018 = c_Orderings_Obot__class_Obot(tc_fun(_u9017, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9017), _u9019)) | ( _u9019 = c_Orderings_Obot__class_Obot(tc_fun(_u9017, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9017, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9017, tc_HOL_Obool)), _u9018), _u9019)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9017), c_Big__Operators_Olattice__class_OSup__fin(_u9017, _u9018)), c_Big__Operators_Olattice__class_OSup__fin(_u9017, _u9019))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9020) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9020), _u9021)) | ( _u9022 = c_Orderings_Obot__class_Obot(tc_fun(_u9020, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9020, tc_HOL_Obool)), _u9022), _u9021)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9020), c_Big__Operators_Olinorder__class_OMax(_u9020, _u9022)), c_Big__Operators_Olinorder__class_OMax(_u9020, _u9021)) = c_Big__Operators_Olinorder__class_OMax(_u9020, _u9021)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u9023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9023), _u9024)) | ( _u9024 = c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9023), _u9025)) | ( _u9025 = c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9023, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9023, tc_HOL_Obool)), _u9024), _u9025)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9023), c_Big__Operators_Olattice__class_OInf__fin(_u9023, _u9024)), c_Big__Operators_Olattice__class_OInf__fin(_u9023, _u9025))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u9026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9026), _u9027)) | ( _u9027 = c_Orderings_Obot__class_Obot(tc_fun(_u9026, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9026), _u9028)) | ( _u9028 = c_Orderings_Obot__class_Obot(tc_fun(_u9026, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9026, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9026, tc_HOL_Obool)), _u9027), _u9028)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9026), c_Big__Operators_Olinorder__class_OMax(_u9026, _u9027)), c_Big__Operators_Olinorder__class_OMax(_u9026, _u9028))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u9029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9029), _u9030)) | hBOOL(hAPP(hAPP(c_member(_u9029), _u9031), _u9030)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9029, hAPP(hAPP(c_Set_Oinsert(_u9029), _u9031), _u9030)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9029), _u9031), c_Big__Operators_Olattice__class_OSup__fin(_u9029, _u9030))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u9032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9032), _u9033)) | hBOOL(hAPP(hAPP(c_member(_u9032), _u9034), _u9033)) | ( _u9033 = c_Orderings_Obot__class_Obot(tc_fun(_u9032, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9032, hAPP(hAPP(c_Set_Oinsert(_u9032), _u9034), _u9033)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9032), _u9034), c_Big__Operators_Olattice__class_OInf__fin(_u9032, _u9033))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9035), _u9036)) | hBOOL(hAPP(hAPP(c_member(_u9035), _u9037), _u9036)) | ( _u9036 = c_Orderings_Obot__class_Obot(tc_fun(_u9035, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9035, hAPP(hAPP(c_Set_Oinsert(_u9035), _u9037), _u9036)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9035), _u9037), c_Big__Operators_Olinorder__class_OMax(_u9035, _u9036))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u9038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9038), _u9039)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9038, tc_HOL_Obool)), _u9039), hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9038, hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), _u9039)) = _u9040) )).
% 28.96/29.19 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u9038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9038), _u9039)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9038, tc_HOL_Obool)), _u9039), hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9038, hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), _u9039)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9038), _u9040), c_Big__Operators_Olattice__class_OSup__fin(_u9038, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9038, tc_HOL_Obool)), _u9039), hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u9041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9041), _u9042)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9041, tc_HOL_Obool)), _u9042), hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9041, hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), _u9042)) = _u9043) )).
% 28.96/29.19 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u9041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9041), _u9042)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9041, tc_HOL_Obool)), _u9042), hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9041, hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), _u9042)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9041), _u9043), c_Big__Operators_Olattice__class_OInf__fin(_u9041, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9041, tc_HOL_Obool)), _u9042), hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u9044) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9044), _u9045)) | ( _u9045 = c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9044), _u9046)) | ( _u9046 = c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9044, tc_HOL_Obool)), _u9045), _u9046) != c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9044, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9044, tc_HOL_Obool)), _u9045), _u9046)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9044), c_Big__Operators_Olattice__class_OSup__fin(_u9044, _u9045)), c_Big__Operators_Olattice__class_OSup__fin(_u9044, _u9046))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u9047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9047), _u9048)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9047), _u9049)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9047, tc_HOL_Obool)), _u9048), _u9049) = c_Orderings_Obot__class_Obot(tc_fun(_u9047, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9047), c_Big__Operators_Olattice__class_OSup__fin(_u9047, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9047, tc_HOL_Obool)), _u9048), _u9049))), c_Big__Operators_Olattice__class_OSup__fin(_u9047, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9047, tc_HOL_Obool)), _u9048), _u9049))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9047), c_Big__Operators_Olattice__class_OSup__fin(_u9047, _u9048)), c_Big__Operators_Olattice__class_OSup__fin(_u9047, _u9049))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9050), _u9051)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9050, tc_HOL_Obool)), _u9051), hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9050, hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), _u9051)) = _u9052) )).
% 28.96/29.19 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9050), _u9051)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9050, tc_HOL_Obool)), _u9051), hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9050, hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), _u9051)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9050), _u9052), c_Big__Operators_Olinorder__class_OMax(_u9050, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9050, tc_HOL_Obool)), _u9051), hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u9053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9053), _u9054)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9053), _u9055)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9053, tc_HOL_Obool)), _u9054), _u9055) = c_Orderings_Obot__class_Obot(tc_fun(_u9053, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9053), c_Big__Operators_Olattice__class_OInf__fin(_u9053, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9053, tc_HOL_Obool)), _u9054), _u9055))), c_Big__Operators_Olattice__class_OInf__fin(_u9053, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9053, tc_HOL_Obool)), _u9054), _u9055))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9053), c_Big__Operators_Olattice__class_OInf__fin(_u9053, _u9054)), c_Big__Operators_Olattice__class_OInf__fin(_u9053, _u9055))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u9056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9056), _u9057)) | ( _u9057 = c_Orderings_Obot__class_Obot(tc_fun(_u9056, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9056), _u9058)) | ( _u9058 = c_Orderings_Obot__class_Obot(tc_fun(_u9056, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9056, tc_HOL_Obool)), _u9057), _u9058) != c_Orderings_Obot__class_Obot(tc_fun(_u9056, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9056, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9056, tc_HOL_Obool)), _u9057), _u9058)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9056), c_Big__Operators_Olattice__class_OInf__fin(_u9056, _u9057)), c_Big__Operators_Olattice__class_OInf__fin(_u9056, _u9058))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9059), _u9060)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9059), _u9061)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9059, tc_HOL_Obool)), _u9060), _u9061) = c_Orderings_Obot__class_Obot(tc_fun(_u9059, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9059), c_Big__Operators_Olinorder__class_OMax(_u9059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9059, tc_HOL_Obool)), _u9060), _u9061))), c_Big__Operators_Olinorder__class_OMax(_u9059, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9059, tc_HOL_Obool)), _u9060), _u9061))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9059), c_Big__Operators_Olinorder__class_OMax(_u9059, _u9060)), c_Big__Operators_Olinorder__class_OMax(_u9059, _u9061))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9062), _u9063)) | ( _u9063 = c_Orderings_Obot__class_Obot(tc_fun(_u9062, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9062), _u9064)) | ( _u9064 = c_Orderings_Obot__class_Obot(tc_fun(_u9062, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9062, tc_HOL_Obool)), _u9063), _u9064) != c_Orderings_Obot__class_Obot(tc_fun(_u9062, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9062, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9062, tc_HOL_Obool)), _u9063), _u9064)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9062), c_Big__Operators_Olinorder__class_OMax(_u9062, _u9063)), c_Big__Operators_Olinorder__class_OMax(_u9062, _u9064))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9067), _u9068)) | ( _u9068 = c_Orderings_Obot__class_Obot(tc_fun(_u9067, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9067), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9067), skolem132(_u9068, _u9067)), skolem133(_u9068, _u9067))), hAPP(hAPP(c_Set_Oinsert(_u9067), skolem132(_u9068, _u9067)), hAPP(hAPP(c_Set_Oinsert(_u9067), skolem133(_u9068, _u9067)), c_Orderings_Obot__class_Obot(tc_fun(_u9067, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9067), c_Big__Operators_Olinorder__class_OMax(_u9067, _u9068)), _u9068)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u9071) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9071), _u9072)) | ( _u9072 = c_Orderings_Obot__class_Obot(tc_fun(_u9071, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9071), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9071), skolem134(_u9072, _u9071)), skolem135(_u9072, _u9071))), hAPP(hAPP(c_Set_Oinsert(_u9071), skolem134(_u9072, _u9071)), hAPP(hAPP(c_Set_Oinsert(_u9071), skolem135(_u9072, _u9071)), c_Orderings_Obot__class_Obot(tc_fun(_u9071, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9071), c_Big__Operators_Olattice__class_OInf__fin(_u9071, _u9072)), _u9072)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u9075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9075), _u9076)) | ( _u9076 = c_Orderings_Obot__class_Obot(tc_fun(_u9075, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9075), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9075), skolem136(_u9076, _u9075)), skolem137(_u9076, _u9075))), hAPP(hAPP(c_Set_Oinsert(_u9075), skolem136(_u9076, _u9075)), hAPP(hAPP(c_Set_Oinsert(_u9075), skolem137(_u9076, _u9075)), c_Orderings_Obot__class_Obot(tc_fun(_u9075, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9075), c_Big__Operators_Olattice__class_OSup__fin(_u9075, _u9076)), _u9076)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9077), _u9078)) | ~hBOOL(hAPP(hAPP(c_member(_u9077), _u9079), _u9078)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9077, tc_HOL_Obool)), _u9078), hAPP(hAPP(c_Set_Oinsert(_u9077), _u9079), c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9077, _u9078) = _u9079) )).
% 28.96/29.19 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9077), _u9078)) | ~hBOOL(hAPP(hAPP(c_member(_u9077), _u9079), _u9078)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9077, tc_HOL_Obool)), _u9078), hAPP(hAPP(c_Set_Oinsert(_u9077), _u9079), c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9077, _u9078) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9077), _u9079), c_Big__Operators_Olinorder__class_OMin(_u9077, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9077, tc_HOL_Obool)), _u9078), hAPP(hAPP(c_Set_Oinsert(_u9077), _u9079), c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9080) | ( c_Big__Operators_Olinorder__class_OMin(_u9080, hAPP(hAPP(c_Set_Oinsert(_u9080), _u9081), c_Orderings_Obot__class_Obot(tc_fun(_u9080, tc_HOL_Obool)))) = _u9081) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u9082) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9082), _u9083)) | ~hBOOL(hAPP(hAPP(c_member(_u9082), _u9084), _u9083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9082), c_Big__Operators_Olinorder__class_OMin(_u9082, _u9083)), _u9084)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u9085) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9085), _u9086)) | ( _u9086 = c_Orderings_Obot__class_Obot(tc_fun(_u9085, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9085), c_Big__Operators_Olinorder__class_OMin(_u9085, _u9086)), _u9086)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9087), _u9088)) | ~hBOOL(hAPP(hAPP(c_member(_u9087), _u9089), _u9088)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9087), _u9089), c_Big__Operators_Olinorder__class_OMin(_u9087, _u9088)) = c_Big__Operators_Olinorder__class_OMin(_u9087, _u9088)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u9090) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9090, tc_HOL_Obool)), _u9091), _u9092)) | ( _u9091 = c_Orderings_Obot__class_Obot(tc_fun(_u9090, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9090), _u9092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9090), c_Big__Operators_Olinorder__class_OMin(_u9090, _u9092)), c_Big__Operators_Olinorder__class_OMin(_u9090, _u9091))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9093) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9093), _u9094)) | ( _u9094 = c_Orderings_Obot__class_Obot(tc_fun(_u9093, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9093, hAPP(hAPP(c_Set_Oinsert(_u9093), _u9095), _u9094)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9093), _u9095), c_Big__Operators_Olinorder__class_OMin(_u9093, _u9094))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9096), _u9097)) | ( _u9098 = c_Orderings_Obot__class_Obot(tc_fun(_u9096, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9096, tc_HOL_Obool)), _u9098), _u9097)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9096), c_Big__Operators_Olinorder__class_OMin(_u9096, _u9098)), c_Big__Operators_Olinorder__class_OMin(_u9096, _u9097)) = c_Big__Operators_Olinorder__class_OMin(_u9096, _u9097)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u9099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9099), _u9100)) | ( _u9100 = c_Orderings_Obot__class_Obot(tc_fun(_u9099, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9099), _u9101)) | ( _u9101 = c_Orderings_Obot__class_Obot(tc_fun(_u9099, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9099, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9099, tc_HOL_Obool)), _u9100), _u9101)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9099), c_Big__Operators_Olinorder__class_OMin(_u9099, _u9100)), c_Big__Operators_Olinorder__class_OMin(_u9099, _u9101))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9102), _u9103)) | hBOOL(hAPP(hAPP(c_member(_u9102), _u9104), _u9103)) | ( _u9103 = c_Orderings_Obot__class_Obot(tc_fun(_u9102, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9102, hAPP(hAPP(c_Set_Oinsert(_u9102), _u9104), _u9103)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9102), _u9104), c_Big__Operators_Olinorder__class_OMin(_u9102, _u9103))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9105), _u9106)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9105, tc_HOL_Obool)), _u9106), hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9105, hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), _u9106)) = _u9107) )).
% 28.96/29.19 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9105), _u9106)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9105, tc_HOL_Obool)), _u9106), hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9105, hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), _u9106)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9105), _u9107), c_Big__Operators_Olinorder__class_OMin(_u9105, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9105, tc_HOL_Obool)), _u9106), hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9108), _u9109)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9108), _u9110)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9108, tc_HOL_Obool)), _u9109), _u9110) = c_Orderings_Obot__class_Obot(tc_fun(_u9108, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9108), c_Big__Operators_Olinorder__class_OMin(_u9108, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9108, tc_HOL_Obool)), _u9109), _u9110))), c_Big__Operators_Olinorder__class_OMin(_u9108, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9108, tc_HOL_Obool)), _u9109), _u9110))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9108), c_Big__Operators_Olinorder__class_OMin(_u9108, _u9109)), c_Big__Operators_Olinorder__class_OMin(_u9108, _u9110))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9111), _u9112)) | ( _u9112 = c_Orderings_Obot__class_Obot(tc_fun(_u9111, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9111), _u9113)) | ( _u9113 = c_Orderings_Obot__class_Obot(tc_fun(_u9111, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9111, tc_HOL_Obool)), _u9112), _u9113) != c_Orderings_Obot__class_Obot(tc_fun(_u9111, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9111, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9111, tc_HOL_Obool)), _u9112), _u9113)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9111), c_Big__Operators_Olinorder__class_OMin(_u9111, _u9112)), c_Big__Operators_Olinorder__class_OMin(_u9111, _u9113))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u9114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9114), _u9115)) | ( _u9115 = c_Orderings_Obot__class_Obot(tc_fun(_u9114, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9114), c_Big__Operators_Olinorder__class_OMin(_u9114, _u9115)) = c_Big__Operators_Olinorder__class_OMax(_u9114, hAPP(c_Set_Oimage(_u9114, _u9114, c_Groups_Ouminus__class_Ouminus(_u9114)), _u9115))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u9116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9116), _u9117)) | ( _u9117 = c_Orderings_Obot__class_Obot(tc_fun(_u9116, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9116), c_Big__Operators_Olinorder__class_OMax(_u9116, _u9117)) = c_Big__Operators_Olinorder__class_OMin(_u9116, hAPP(c_Set_Oimage(_u9116, _u9116, c_Groups_Ouminus__class_Ouminus(_u9116)), _u9117))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9120), _u9121)) | ( _u9121 = c_Orderings_Obot__class_Obot(tc_fun(_u9120, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9120), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9120), skolem138(_u9121, _u9120)), skolem139(_u9121, _u9120))), hAPP(hAPP(c_Set_Oinsert(_u9120), skolem138(_u9121, _u9120)), hAPP(hAPP(c_Set_Oinsert(_u9120), skolem139(_u9121, _u9120)), c_Orderings_Obot__class_Obot(tc_fun(_u9120, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9120), c_Big__Operators_Olinorder__class_OMin(_u9120, _u9121)), _u9121)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u9122, _u9123, _u9124, _u9125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9122), _u9126)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9122), _u9127)) | ( hAPP(_u9125, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9122, tc_HOL_Obool)), _u9126), _u9127)) = hAPP(c_Fun_Ocomp(_u9123, _u9123, _u9123, hAPP(_u9125, _u9126)), hAPP(_u9125, _u9127))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u9128, _u9129, _u9130, _u9131) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9128), _u9132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9128, tc_HOL_Obool)), _u9133), _u9132)) | ( hAPP(c_Fun_Ocomp(_u9129, _u9129, _u9129, hAPP(_u9131, _u9132)), hAPP(_u9131, _u9133)) = hAPP(_u9131, _u9132)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9134), _u9135)) | ~hBOOL(hAPP(hAPP(c_member(_u9134), _u9136), _u9135)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9134, tc_HOL_Obool)), _u9135), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9136), c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9134, c_Orderings_Oord__class_Omax(_u9134), _u9135) = _u9136) )).
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9134), _u9135)) | ~hBOOL(hAPP(hAPP(c_member(_u9134), _u9136), _u9135)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9134, tc_HOL_Obool)), _u9135), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9136), c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9134, c_Orderings_Oord__class_Omax(_u9134), _u9135) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9134), _u9136), c_Big__Operators_Olattice_OSup__fin(_u9134, c_Orderings_Oord__class_Omax(_u9134), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9134, tc_HOL_Obool)), _u9135), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9136), c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u9138, _u9138, _u9141, hAPP(_u9139, _u9142)), hAPP(c_Fun_Ocomp(_u9138, _u9138, _u9141, hAPP(_u9139, _u9142)), _u9143)) = hAPP(c_Fun_Ocomp(_u9138, _u9138, _u9141, hAPP(_u9139, _u9142)), _u9143)) | ~c_Finite__Set_Ofolding__idem(_u9137, _u9138, _u9139, _u9140) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u9145, _u9145, _u9145, hAPP(_u9146, _u9148)), hAPP(_u9146, _u9148)) = hAPP(_u9146, _u9148)) | ~c_Finite__Set_Ofolding__idem(_u9144, _u9145, _u9146, _u9147) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9149) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9149), _u9150)) | ~hBOOL(hAPP(hAPP(c_member(_u9149), _u9151), _u9150)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9149), _u9151), c_Big__Operators_Olattice_OSup__fin(_u9149, c_Orderings_Oord__class_Omax(_u9149), _u9150)) = c_Big__Operators_Olattice_OSup__fin(_u9149, c_Orderings_Oord__class_Omax(_u9149), _u9150)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9152) | ( c_Big__Operators_Olattice_OSup__fin(_u9152, c_Orderings_Oord__class_Omax(_u9152), hAPP(hAPP(c_Set_Oinsert(_u9152), _u9153), c_Orderings_Obot__class_Obot(tc_fun(_u9152, tc_HOL_Obool)))) = _u9153) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9154), _u9155)) | ( _u9155 = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9154, c_Orderings_Oord__class_Omax(_u9154), hAPP(hAPP(c_Set_Oinsert(_u9154), _u9156), _u9155)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9154), _u9156), c_Big__Operators_Olattice_OSup__fin(_u9154, c_Orderings_Oord__class_Omax(_u9154), _u9155))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9157), _u9158)) | ( _u9159 = c_Orderings_Obot__class_Obot(tc_fun(_u9157, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9157, tc_HOL_Obool)), _u9159), _u9158)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9157), c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), _u9159)), c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), _u9158)) = c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), _u9158)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9160) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9160), _u9161)) | ~hBOOL(hAPP(hAPP(c_member(_u9160), _u9162), _u9161)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9160), _u9162), c_Big__Operators_Olattice_OSup__fin(_u9160, c_Orderings_Oord__class_Omax(_u9160), _u9161)) = _u9162) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9163) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9163), _u9164)) | ( _u9164 = c_Orderings_Obot__class_Obot(tc_fun(_u9163, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9163), _u9165)) | ( _u9165 = c_Orderings_Obot__class_Obot(tc_fun(_u9163, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9163, c_Orderings_Oord__class_Omax(_u9163), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9163, tc_HOL_Obool)), _u9164), _u9165)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9163), c_Big__Operators_Olattice_OSup__fin(_u9163, c_Orderings_Oord__class_Omax(_u9163), _u9164)), c_Big__Operators_Olattice_OSup__fin(_u9163, c_Orderings_Oord__class_Omax(_u9163), _u9165))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9167)) | hBOOL(hAPP(hAPP(c_member(_u9166), _u9168), _u9167)) | ( _u9167 = c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), _u9167)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9166), _u9168), c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), _u9167))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9170)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9169, tc_HOL_Obool)), _u9170), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), _u9170)) = _u9171) )).
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9170)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9169, tc_HOL_Obool)), _u9170), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), _u9170)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9169), _u9171), c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9169, tc_HOL_Obool)), _u9170), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9172) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9173)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9174)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174) = c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9172), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174))), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9172), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), _u9173)), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), _u9174))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9175), _u9176)) | ( _u9176 = c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9175), _u9177)) | ( _u9177 = c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177) != c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9175), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), _u9176)), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), _u9177))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u9178, _u9179, _u9180, _u9181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9178), _u9182)) | ~hBOOL(hAPP(hAPP(c_member(_u9178), _u9183), _u9182)) | ( hAPP(c_Fun_Ocomp(_u9179, _u9179, _u9179, hAPP(_u9181, _u9182)), hAPP(_u9180, _u9183)) = hAPP(_u9181, _u9182)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u9184, _u9185, _u9186, _u9187) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9184), _u9188)) | ( hAPP(_u9187, hAPP(hAPP(c_Set_Oinsert(_u9184), _u9189), _u9188)) = hAPP(c_Fun_Ocomp(_u9185, _u9185, _u9185, hAPP(_u9187, _u9188)), hAPP(_u9186, _u9189))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9192), _u9193)) | ( _u9193 = c_Orderings_Obot__class_Obot(tc_fun(_u9192, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9192), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9192), skolem140(_u9193, _u9192)), skolem141(_u9193, _u9192))), hAPP(hAPP(c_Set_Oinsert(_u9192), skolem140(_u9193, _u9192)), hAPP(hAPP(c_Set_Oinsert(_u9192), skolem141(_u9193, _u9192)), c_Orderings_Obot__class_Obot(tc_fun(_u9192, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9192), c_Big__Operators_Olattice_OSup__fin(_u9192, c_Orderings_Oord__class_Omax(_u9192), _u9193)), _u9193)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u9194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9194), _u9195)) | ( _u9195 = c_Orderings_Obot__class_Obot(tc_fun(_u9194, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9194), c_Big__Operators_Olattice_OInf__fin(_u9194, c_Orderings_Oord__class_Omin(_u9194), _u9195)), c_Big__Operators_Olattice_OSup__fin(_u9194, c_Orderings_Oord__class_Omax(_u9194), _u9195))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9196), _u9197)) | ~hBOOL(hAPP(hAPP(c_member(_u9196), _u9198), _u9197)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9196, tc_HOL_Obool)), _u9197), hAPP(hAPP(c_Set_Oinsert(_u9196), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9196, c_Orderings_Oord__class_Omin(_u9196), _u9197) = _u9198) )).
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9196), _u9197)) | ~hBOOL(hAPP(hAPP(c_member(_u9196), _u9198), _u9197)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9196, tc_HOL_Obool)), _u9197), hAPP(hAPP(c_Set_Oinsert(_u9196), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9196, c_Orderings_Oord__class_Omin(_u9196), _u9197) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9196), _u9198), c_Big__Operators_Olattice_OInf__fin(_u9196, c_Orderings_Oord__class_Omin(_u9196), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9196, tc_HOL_Obool)), _u9197), hAPP(hAPP(c_Set_Oinsert(_u9196), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u9201, _u9202, _u9203) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9201), _u9204)) | ( _u9204 = c_Orderings_Obot__class_Obot(tc_fun(_u9201, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9201), hAPP(hAPP(_u9202, skolem142(_u9204, _u9203, _u9202, _u9201)), skolem143(_u9204, _u9203, _u9202, _u9201))), hAPP(hAPP(c_Set_Oinsert(_u9201), skolem142(_u9204, _u9203, _u9202, _u9201)), hAPP(hAPP(c_Set_Oinsert(_u9201), skolem143(_u9204, _u9203, _u9202, _u9201)), c_Orderings_Obot__class_Obot(tc_fun(_u9201, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9201), hAPP(_u9203, _u9204)), _u9204)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9205), _u9206)) | ~hBOOL(hAPP(hAPP(c_member(_u9205), _u9207), _u9206)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9205), _u9207), c_Big__Operators_Olattice_OInf__fin(_u9205, c_Orderings_Oord__class_Omin(_u9205), _u9206)) = c_Big__Operators_Olattice_OInf__fin(_u9205, c_Orderings_Oord__class_Omin(_u9205), _u9206)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9208) | ( c_Big__Operators_Olattice_OInf__fin(_u9208, c_Orderings_Oord__class_Omin(_u9208), hAPP(hAPP(c_Set_Oinsert(_u9208), _u9209), c_Orderings_Obot__class_Obot(tc_fun(_u9208, tc_HOL_Obool)))) = _u9209) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9210) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9210), _u9211)) | ( _u9211 = c_Orderings_Obot__class_Obot(tc_fun(_u9210, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9210, c_Orderings_Oord__class_Omin(_u9210), hAPP(hAPP(c_Set_Oinsert(_u9210), _u9212), _u9211)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9210), _u9212), c_Big__Operators_Olattice_OInf__fin(_u9210, c_Orderings_Oord__class_Omin(_u9210), _u9211))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9213) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9213), _u9214)) | ( _u9215 = c_Orderings_Obot__class_Obot(tc_fun(_u9213, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9213, tc_HOL_Obool)), _u9215), _u9214)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9213), c_Big__Operators_Olattice_OInf__fin(_u9213, c_Orderings_Oord__class_Omin(_u9213), _u9215)), c_Big__Operators_Olattice_OInf__fin(_u9213, c_Orderings_Oord__class_Omin(_u9213), _u9214)) = c_Big__Operators_Olattice_OInf__fin(_u9213, c_Orderings_Oord__class_Omin(_u9213), _u9214)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9216) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9216), _u9217)) | ~hBOOL(hAPP(hAPP(c_member(_u9216), _u9218), _u9217)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9216), _u9218), c_Big__Operators_Olattice_OInf__fin(_u9216, c_Orderings_Oord__class_Omin(_u9216), _u9217)) = _u9218) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9219) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9219), _u9220)) | ( _u9220 = c_Orderings_Obot__class_Obot(tc_fun(_u9219, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9219), _u9221)) | ( _u9221 = c_Orderings_Obot__class_Obot(tc_fun(_u9219, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9219, c_Orderings_Oord__class_Omin(_u9219), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9219, tc_HOL_Obool)), _u9220), _u9221)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9219), c_Big__Operators_Olattice_OInf__fin(_u9219, c_Orderings_Oord__class_Omin(_u9219), _u9220)), c_Big__Operators_Olattice_OInf__fin(_u9219, c_Orderings_Oord__class_Omin(_u9219), _u9221))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9222) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9222), _u9223)) | hBOOL(hAPP(hAPP(c_member(_u9222), _u9224), _u9223)) | ( _u9223 = c_Orderings_Obot__class_Obot(tc_fun(_u9222, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9222, c_Orderings_Oord__class_Omin(_u9222), hAPP(hAPP(c_Set_Oinsert(_u9222), _u9224), _u9223)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9222), _u9224), c_Big__Operators_Olattice_OInf__fin(_u9222, c_Orderings_Oord__class_Omin(_u9222), _u9223))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9225) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9225), _u9226)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9225, tc_HOL_Obool)), _u9226), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9225, c_Orderings_Oord__class_Omin(_u9225), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), _u9226)) = _u9227) )).
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9225) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9225), _u9226)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9225, tc_HOL_Obool)), _u9226), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9225, c_Orderings_Oord__class_Omin(_u9225), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), _u9226)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9225), _u9227), c_Big__Operators_Olattice_OInf__fin(_u9225, c_Orderings_Oord__class_Omin(_u9225), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9225, tc_HOL_Obool)), _u9226), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9228) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9228), _u9229)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9228), _u9230)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9228, tc_HOL_Obool)), _u9229), _u9230) = c_Orderings_Obot__class_Obot(tc_fun(_u9228, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9228), c_Big__Operators_Olattice_OInf__fin(_u9228, c_Orderings_Oord__class_Omin(_u9228), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9228, tc_HOL_Obool)), _u9229), _u9230))), c_Big__Operators_Olattice_OInf__fin(_u9228, c_Orderings_Oord__class_Omin(_u9228), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9228, tc_HOL_Obool)), _u9229), _u9230))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9228), c_Big__Operators_Olattice_OInf__fin(_u9228, c_Orderings_Oord__class_Omin(_u9228), _u9229)), c_Big__Operators_Olattice_OInf__fin(_u9228, c_Orderings_Oord__class_Omin(_u9228), _u9230))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9231) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9231), _u9232)) | ( _u9232 = c_Orderings_Obot__class_Obot(tc_fun(_u9231, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9231), _u9233)) | ( _u9233 = c_Orderings_Obot__class_Obot(tc_fun(_u9231, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9231, tc_HOL_Obool)), _u9232), _u9233) != c_Orderings_Obot__class_Obot(tc_fun(_u9231, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9231, c_Orderings_Oord__class_Omin(_u9231), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9231, tc_HOL_Obool)), _u9232), _u9233)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9231), c_Big__Operators_Olattice_OInf__fin(_u9231, c_Orderings_Oord__class_Omin(_u9231), _u9232)), c_Big__Operators_Olattice_OInf__fin(_u9231, c_Orderings_Oord__class_Omin(_u9231), _u9233))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9236) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9236), _u9237)) | ( _u9237 = c_Orderings_Obot__class_Obot(tc_fun(_u9236, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9236), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9236), skolem144(_u9237, _u9236)), skolem145(_u9237, _u9236))), hAPP(hAPP(c_Set_Oinsert(_u9236), skolem144(_u9237, _u9236)), hAPP(hAPP(c_Set_Oinsert(_u9236), skolem145(_u9237, _u9236)), c_Orderings_Obot__class_Obot(tc_fun(_u9236, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9236), c_Big__Operators_Olattice_OInf__fin(_u9236, c_Orderings_Oord__class_Omin(_u9236), _u9237)), _u9237)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9238), _u9239)) | ~hBOOL(hAPP(hAPP(c_member(_u9238), _u9240), _u9239)) | ( hAPP(c_Finite__Set_Ocard(_u9238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9238, tc_HOL_Obool)), _u9239), hAPP(hAPP(c_Set_Oinsert(_u9238), _u9240), c_Orderings_Obot__class_Obot(tc_fun(_u9238, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9238), _u9239)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 28.96/29.19 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9238), _u9239)) | hBOOL(hAPP(hAPP(c_member(_u9238), _u9240), _u9239)) | ( hAPP(c_Finite__Set_Ocard(_u9238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9238, tc_HOL_Obool)), _u9239), hAPP(hAPP(c_Set_Oinsert(_u9238), _u9240), c_Orderings_Obot__class_Obot(tc_fun(_u9238, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u9238), _u9239)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9241), _u9242)) | ~hBOOL(hAPP(hAPP(c_member(_u9241), _u9243), _u9242)) | ( hAPP(c_Finite__Set_Ocard(_u9241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9241, tc_HOL_Obool)), _u9242), hAPP(hAPP(c_Set_Oinsert(_u9241), _u9243), c_Orderings_Obot__class_Obot(tc_fun(_u9241, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9241), _u9242)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9244), _u9245)) | ~hBOOL(hAPP(hAPP(c_member(_u9244), _u9246), _u9245)) | ( hAPP(c_Finite__Set_Ocard(_u9244), _u9245) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9244), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9244, tc_HOL_Obool)), _u9245), hAPP(hAPP(c_Set_Oinsert(_u9244), _u9246), c_Orderings_Obot__class_Obot(tc_fun(_u9244, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u9247) = 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)), _u9247))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u9248) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u9248) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9248))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9249), c_Orderings_Obot__class_Obot(tc_fun(_u9249, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9250), _u9251)) | ( hAPP(c_Finite__Set_Ocard(_u9250), _u9251) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9254), _u9256) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9256 = c_Orderings_Obot__class_Obot(tc_fun(_u9254, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9254), _u9256)) )).
% 28.96/29.19 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9255), _u9257) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9257 != c_Orderings_Obot__class_Obot(tc_fun(_u9255, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9255), _u9257) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9255), _u9257)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 28.96/29.19 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(_u9258), _u9259))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9258), _u9259)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9260), _u9261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9260), _u9261)), hAPP(c_Finite__Set_Ocard(_u9260), hAPP(hAPP(c_Set_Oinsert(_u9260), _u9262), _u9261)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9263), _u9264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9263, tc_HOL_Obool)), _u9265), _u9264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9263), _u9265)), hAPP(c_Finite__Set_Ocard(_u9263), _u9264))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9266), _u9267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9266, tc_HOL_Obool)), _u9268), _u9267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9266), _u9267)), hAPP(c_Finite__Set_Ocard(_u9266), _u9268))) | ( _u9268 = _u9267) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9269), _u9270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9271), hAPP(c_Set_Oimage(_u9269, _u9271, _u9272), _u9270))), hAPP(c_Finite__Set_Ocard(_u9269), _u9270))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9273), _u9274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9273, tc_HOL_Obool)), _u9275), _u9274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9273), _u9275)), hAPP(c_Finite__Set_Ocard(_u9273), _u9274))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9276), _u9277)) | hBOOL(hAPP(hAPP(c_member(_u9276), _u9278), _u9277)) | ( hAPP(c_Finite__Set_Ocard(_u9276), hAPP(hAPP(c_Set_Oinsert(_u9276), _u9278), _u9277)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9276), _u9277))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9279), _u9280)) | ~hBOOL(hAPP(hAPP(c_member(_u9279), _u9281), _u9280)) | ( hAPP(c_Finite__Set_Ocard(_u9279), hAPP(hAPP(c_Set_Oinsert(_u9279), _u9281), _u9280)) = hAPP(c_Finite__Set_Ocard(_u9279), _u9280)) )).
% 28.96/29.19 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9279), _u9280)) | hBOOL(hAPP(hAPP(c_member(_u9279), _u9281), _u9280)) | ( hAPP(c_Finite__Set_Ocard(_u9279), hAPP(hAPP(c_Set_Oinsert(_u9279), _u9281), _u9280)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9279), _u9280))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 28.96/29.19 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(_u9284), _u9286))) | ( _u9286 != c_Orderings_Obot__class_Obot(tc_fun(_u9284, tc_HOL_Obool))) )).
% 28.96/29.19 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(_u9284), _u9286))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9284), _u9286)) )).
% 28.96/29.19 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u9287 = c_Orderings_Obot__class_Obot(tc_fun(_u9285, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9285), _u9287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9285), _u9287))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9288), _u9289)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9288), _u9290)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9288), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9288, tc_HOL_Obool)), _u9289), _u9290))), hAPP(c_Finite__Set_Ocard(_u9288), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9288, tc_HOL_Obool)), _u9289), _u9290))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9288), _u9289)), hAPP(c_Finite__Set_Ocard(_u9288), _u9290))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9291), _u9292)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9291), _u9293)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9291), _u9292)), hAPP(c_Finite__Set_Ocard(_u9291), _u9293)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9291), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9291, tc_HOL_Obool)), _u9292), _u9293))), hAPP(c_Finite__Set_Ocard(_u9291), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9291, tc_HOL_Obool)), _u9292), _u9293)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9294), _u9295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9294, tc_HOL_Obool)), _u9295), _u9296)) | ( hAPP(c_Finite__Set_Ocard(_u9294), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9294, tc_HOL_Obool)), _u9296), _u9295)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9294), _u9296)), hAPP(c_Finite__Set_Ocard(_u9294), _u9295))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9297, tc_HOL_Obool)), _u9298), _u9299))) | ( hAPP(c_Finite__Set_Ocard(_u9297), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9297, tc_HOL_Obool)), _u9298), _u9299)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9297), _u9298)), hAPP(c_Finite__Set_Ocard(_u9297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9297, tc_HOL_Obool)), _u9298), _u9299)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9300), _u9301)) | 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(_u9300), _u9302)), hAPP(c_Finite__Set_Ocard(_u9300), _u9301))), hAPP(c_Finite__Set_Ocard(_u9300), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9300, tc_HOL_Obool)), _u9302), _u9301)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9303), _u9304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9303, tc_HOL_Obool)), _u9305), _u9304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9303), _u9305)), hAPP(c_Finite__Set_Ocard(_u9303), _u9304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9303, tc_HOL_Obool)), _u9305), _u9304)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9306), _u9307)) | ( hAPP(c_Finite__Set_Ocard(_u9306), hAPP(hAPP(c_Set_Oinsert(_u9306), _u9308), _u9307)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9306), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9306, tc_HOL_Obool)), _u9307), hAPP(hAPP(c_Set_Oinsert(_u9306), _u9308), c_Orderings_Obot__class_Obot(tc_fun(_u9306, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9309), _u9310)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9309), _u9311)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9309, tc_HOL_Obool)), _u9310), _u9311) != c_Orderings_Obot__class_Obot(tc_fun(_u9309, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u9309), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9309, tc_HOL_Obool)), _u9310), _u9311)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9309), _u9310)), hAPP(c_Finite__Set_Ocard(_u9309), _u9311))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9312), _u9313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9312), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9312, tc_HOL_Obool)), _u9313), hAPP(hAPP(c_Set_Oinsert(_u9312), _u9314), c_Orderings_Obot__class_Obot(tc_fun(_u9312, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u9312), _u9313))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9315), _u9316)) | hBOOL(hAPP(hAPP(c_member(_u9315), _u9317), _u9316)) | ( hAPP(c_Finite__Set_Ocard(_u9315), hAPP(hAPP(c_Set_Oinsert(_u9315), _u9317), _u9316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9315), _u9316))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9318), _u9319)) | ~hBOOL(hAPP(hAPP(c_member(_u9318), _u9320), _u9319)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9318, tc_HOL_Obool)), _u9319), hAPP(hAPP(c_Set_Oinsert(_u9318), _u9320), c_Orderings_Obot__class_Obot(tc_fun(_u9318, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u9318), _u9319)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9321), _u9322)) | ~hBOOL(hAPP(hAPP(c_member(_u9321), _u9323), _u9322)) | ~hBOOL(hAPP(hAPP(c_member(_u9321), _u9324), _u9322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9321), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9321, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9321, tc_HOL_Obool)), _u9322), hAPP(hAPP(c_Set_Oinsert(_u9321), _u9323), c_Orderings_Obot__class_Obot(tc_fun(_u9321, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u9321), _u9324), c_Orderings_Obot__class_Obot(tc_fun(_u9321, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u9321), _u9322))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9325), _u9326)) | ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9327), _u9326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9325), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9325, tc_HOL_Obool)), _u9326), hAPP(hAPP(c_Set_Oinsert(_u9325), _u9327), c_Orderings_Obot__class_Obot(tc_fun(_u9325, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u9325), _u9326))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9328), _u9329)) | ~hBOOL(hAPP(hAPP(c_member(_u9328), _u9330), _u9329)) | hBOOL(hAPP(hAPP(c_member(_u9328), _u9330), _u9331)) | ( hAPP(c_Finite__Set_Ocard(_u9328), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9328, tc_HOL_Obool)), _u9329), hAPP(hAPP(c_Set_Oinsert(_u9328), _u9330), _u9331))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9328), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9328, tc_HOL_Obool)), _u9329), _u9331))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9332), _u9333)) | ( hAPP(c_Finite__Set_Ocard(_u9332), hAPP(hAPP(c_Set_Oinsert(_u9332), _u9334), _u9333)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9332), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9332, tc_HOL_Obool)), _u9333), hAPP(hAPP(c_Set_Oinsert(_u9332), _u9334), c_Orderings_Obot__class_Obot(tc_fun(_u9332, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9336), _u9337)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9336), _u9338)) | ( hAPP(c_Finite__Set_Ocard(_u9336), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9336, tc_HOL_Obool)), _u9337), _u9338)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9336), _u9337)), hAPP(c_Finite__Set_Ocard(_u9336), _u9338))) | hBOOL(hAPP(hAPP(c_member(_u9336), skolem146(_u9338, _u9337, _u9336)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9336, tc_HOL_Obool)), _u9337), _u9338))) )).
% 28.96/29.19 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9336), _u9337)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9336), _u9338)) | ( hAPP(c_Finite__Set_Ocard(_u9336), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9336, tc_HOL_Obool)), _u9337), _u9338)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9336), _u9337)), hAPP(c_Finite__Set_Ocard(_u9336), _u9338))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9346), _u9348) != hAPP(c_Nat_OSuc, _u9350)) | ( _u9348 = hAPP(hAPP(c_Set_Oinsert(_u9346), skolem147(_u9350, _u9348, _u9346)), skolem148(_u9350, _u9348, _u9346))) )).
% 28.96/29.19 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9346), _u9348) != hAPP(c_Nat_OSuc, _u9350)) | ~hBOOL(hAPP(hAPP(c_member(_u9346), skolem147(_u9350, _u9348, _u9346)), skolem148(_u9350, _u9348, _u9346))) )).
% 28.96/29.19 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9346), _u9348) != hAPP(c_Nat_OSuc, _u9350)) | ( hAPP(c_Finite__Set_Ocard(_u9346), skolem148(_u9350, _u9348, _u9346)) = _u9350) )).
% 28.96/29.19 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9346), _u9348) != hAPP(c_Nat_OSuc, _u9350)) | ( _u9350 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem148(_u9350, _u9348, _u9346) = c_Orderings_Obot__class_Obot(tc_fun(_u9346, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9347), _u9349) = hAPP(c_Nat_OSuc, _u9351)) | ( _u9349 != hAPP(hAPP(c_Set_Oinsert(_u9347), _u9342), _u9341)) | hBOOL(hAPP(hAPP(c_member(_u9347), _u9342), _u9341)) | ( hAPP(c_Finite__Set_Ocard(_u9347), _u9341) != _u9351) | ( _u9351 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.19 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9347), _u9349) = hAPP(c_Nat_OSuc, _u9351)) | ( _u9349 != hAPP(hAPP(c_Set_Oinsert(_u9347), _u9342), _u9341)) | hBOOL(hAPP(hAPP(c_member(_u9347), _u9342), _u9341)) | ( hAPP(c_Finite__Set_Ocard(_u9347), _u9341) != _u9351) | ( _u9341 != c_Orderings_Obot__class_Obot(tc_fun(_u9347, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9356), _u9358)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9360), _u9362)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9356, _u9360)), c_Sum__Type_OPlus(_u9356, _u9360, _u9358, _u9362)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9356), _u9358)), hAPP(c_Finite__Set_Ocard(_u9360), _u9362))) )).
% 28.96/29.19 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9357, _u9361)), c_Sum__Type_OPlus(_u9357, _u9361, _u9359, _u9363)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9357), _u9359)) )).
% 28.96/29.19 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9357, _u9361)), c_Sum__Type_OPlus(_u9357, _u9361, _u9359, _u9363)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9361), _u9363)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9365), _u9366)) | ~hBOOL(hAPP(hAPP(c_member(_u9365), _u9367), _u9366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9365, _u9364), hAPP(hAPP(c_COMBC(_u9365, _u9364, _u9364), hAPP(hAPP(c_COMBS(_u9365, _u9364, tc_fun(_u9364, _u9364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9364, tc_fun(_u9364, _u9364)), _u9365), c_If(_u9364)), hAPP(hAPP(c_COMBC(_u9365, _u9365, tc_HOL_Obool), c_fequal), _u9367))), _u9368)), _u9369)), _u9366) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9364), hAPP(_u9368, _u9367)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9369), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9365), _u9366)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 28.96/29.19 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9365), _u9366)) | hBOOL(hAPP(hAPP(c_member(_u9365), _u9367), _u9366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9365, _u9364), hAPP(hAPP(c_COMBC(_u9365, _u9364, _u9364), hAPP(hAPP(c_COMBS(_u9365, _u9364, tc_fun(_u9364, _u9364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9364, tc_fun(_u9364, _u9364)), _u9365), c_If(_u9364)), hAPP(hAPP(c_COMBC(_u9365, _u9365, tc_HOL_Obool), c_fequal), _u9367))), _u9368)), _u9369)), _u9366) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9369), hAPP(c_Finite__Set_Ocard(_u9365), _u9366))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u9370) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9370), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9371, _u9370), _u9372), _u9373)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9371, _u9370), hAPP(hAPP(c_COMBB(_u9370, _u9370, _u9371), c_Groups_Oabs__class_Oabs(_u9370)), _u9372)), _u9373)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9374) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9375, _u9374), hAPP(c_COMBK(_u9374, _u9375), c_Groups_Oone__class_Oone(_u9374))), _u9376) = c_Groups_Oone__class_Oone(_u9374)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9377) | ~class_Rings_Oring__1(_u9377) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9377), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9378, tc_Int_Oint), _u9379), _u9380)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9378, _u9377), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9377, _u9378), c_Int_Oring__1__class_Oof__int(_u9377)), _u9379)), _u9380)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 28.96/29.19 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(_u9381, tc_Nat_Onat), _u9382), _u9383)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9381, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9381), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9382)), _u9383)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9384) | ~class_Rings_Osemiring__1(_u9384) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9384), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9385, tc_Nat_Onat), _u9386), _u9387)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9385, _u9384), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9384, _u9385), c_Nat_Osemiring__1__class_Oof__nat(_u9384)), _u9386)), _u9387)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9388, tc_Nat_Onat), _u9389), _u9390) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9388, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9388), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9389)), _u9390))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9391) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9392, _u9391), hAPP(hAPP(c_COMBS(_u9392, _u9391, _u9391), hAPP(hAPP(c_COMBB(_u9391, tc_fun(_u9391, _u9391), _u9392), c_Groups_Otimes__class_Otimes(_u9391)), _u9393)), _u9394)), _u9395) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9391), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9392, _u9391), _u9393), _u9395)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9392, _u9391), _u9394), _u9395))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9396) | ~class_Groups_Ocomm__monoid__mult(_u9396) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u9396), _u9397), _u9398) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9396), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9396, tc_Int_Oint), _u9397), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9398))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9400) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9401), _u9402)) | ~hBOOL(hAPP(hAPP(c_member(_u9401), _u9399), _u9402)) | ( hAPP(_u9403, _u9399) != c_Groups_Ozero__class_Ozero(_u9400)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9401, _u9400), _u9403), _u9402) = c_Groups_Ozero__class_Ozero(_u9400)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9406) | ~class_Rings_Ono__zero__divisors(_u9406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9407), _u9408)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9407, _u9406), _u9409), _u9408) != c_Groups_Ozero__class_Ozero(_u9406)) | hBOOL(hAPP(hAPP(c_member(_u9407), skolem149(_u9409, _u9408, _u9407, _u9406)), _u9408)) )).
% 28.96/29.19 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9406) | ~class_Rings_Ono__zero__divisors(_u9406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9407), _u9408)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9407, _u9406), _u9409), _u9408) != c_Groups_Ozero__class_Ozero(_u9406)) | ( hAPP(_u9409, skolem149(_u9409, _u9408, _u9407, _u9406)) = c_Groups_Ozero__class_Ozero(_u9406)) )).
% 28.96/29.19 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9406) | ~class_Rings_Ono__zero__divisors(_u9406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9407), _u9408)) | ~hBOOL(hAPP(hAPP(c_member(_u9407), _u9405), _u9408)) | ( hAPP(_u9409, _u9405) != c_Groups_Ozero__class_Ozero(_u9406)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9407, _u9406), _u9409), _u9408) = c_Groups_Ozero__class_Ozero(_u9406)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9410) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9411, _u9410), _u9412), c_Orderings_Obot__class_Obot(tc_fun(_u9411, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u9410)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9413) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9414, _u9413), _u9415), c_Orderings_Obot__class_Obot(tc_fun(_u9414, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u9413)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9416) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9417), _u9418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9417, _u9416), _u9419), _u9418) = c_Groups_Oone__class_Oone(_u9416)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9420) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9421), _u9422)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9421, _u9420), _u9423), _u9422) = c_Groups_Oone__class_Oone(_u9420)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9426), _u9427)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9426, tc_Nat_Onat), _u9428), _u9427) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9426), _u9424), _u9427)) | ( hAPP(_u9428, _u9424) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.19 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9426), _u9427)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9426, tc_Nat_Onat), _u9428), _u9427) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9426), skolem150(_u9428, _u9427, _u9426)), _u9427)) )).
% 28.96/29.19 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9426), _u9427)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9426, tc_Nat_Onat), _u9428), _u9427) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u9428, skolem150(_u9428, _u9427, _u9426)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9430), _u9432)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9429, _u9430)), c_Sum__Type_OPlus(_u9429, _u9430, _u9431, _u9432))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9433, _u9434)), c_Sum__Type_OPlus(_u9433, _u9434, _u9435, _u9436))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9433), _u9435)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9437), _u9438)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9439), _u9440)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9437, _u9439)), c_Sum__Type_OPlus(_u9437, _u9439, _u9438, _u9440))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9445, _u9447)), c_Sum__Type_OPlus(_u9445, _u9447, _u9449, _u9451))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9445), _u9449)) )).
% 28.96/29.19 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9445, _u9447)), c_Sum__Type_OPlus(_u9445, _u9447, _u9449, _u9451))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9447), _u9451)) )).
% 28.96/29.19 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9446), _u9450)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9448), _u9452)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9446, _u9448)), c_Sum__Type_OPlus(_u9446, _u9448, _u9450, _u9452))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9453) | ~class_Groups_Ocomm__monoid__mult(_u9453) | ~c_Nat__Transfer_Onat__set(_u9454) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9453), _u9455), _u9454) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u9453), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9453, tc_Nat_Onat), _u9455), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9454))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9456) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9457), _u9458)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9457, _u9456), hAPP(hAPP(c_COMBS(_u9457, _u9456, _u9456), hAPP(hAPP(c_COMBB(_u9456, tc_fun(_u9456, _u9456), _u9457), c_Groups_Otimes__class_Otimes(_u9456)), _u9459)), _u9460)), _u9458) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9456), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9457, _u9456), _u9459), _u9458)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9457, _u9456), _u9460), _u9458))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9462), _u9463)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9462, _u9461), hAPP(hAPP(c_COMBS(_u9462, _u9461, _u9461), hAPP(hAPP(c_COMBB(_u9461, tc_fun(_u9461, _u9461), _u9462), c_Rings_Oinverse__class_Odivide(_u9461)), _u9464)), _u9465)), _u9463) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9461), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9462, _u9461), _u9464), _u9463)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9462, _u9461), _u9465), _u9463))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9468), _u9469)) | ~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(_u9468, tc_Nat_Onat), _u9470), _u9469))) | ~hBOOL(hAPP(hAPP(c_member(_u9468), _u9466), _u9469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u9470, _u9466))) )).
% 28.96/29.19 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9468), _u9469)) | 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(_u9468, tc_Nat_Onat), _u9470), _u9469))) | hBOOL(hAPP(hAPP(c_member(_u9468), skolem151(_u9470, _u9469, _u9468)), _u9469)) )).
% 28.96/29.19 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9468), _u9469)) | 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(_u9468, tc_Nat_Onat), _u9470), _u9469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u9470, skolem151(_u9470, _u9469, _u9468)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9471) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9472), _u9473)) | ~hBOOL(hAPP(hAPP(c_member(_u9472), _u9474), _u9473)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9472, _u9471), hAPP(hAPP(c_COMBC(_u9472, _u9471, _u9471), hAPP(hAPP(c_COMBS(_u9472, _u9471, tc_fun(_u9471, _u9471)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9471, tc_fun(_u9471, _u9471)), _u9472), c_If(_u9471)), hAPP(c_fequal, _u9474))), _u9475)), c_Groups_Oone__class_Oone(_u9471))), _u9473) = hAPP(_u9475, _u9474)) )).
% 28.96/29.19 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9471) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9472), _u9473)) | hBOOL(hAPP(hAPP(c_member(_u9472), _u9474), _u9473)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9472, _u9471), hAPP(hAPP(c_COMBC(_u9472, _u9471, _u9471), hAPP(hAPP(c_COMBS(_u9472, _u9471, tc_fun(_u9471, _u9471)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9471, tc_fun(_u9471, _u9471)), _u9472), c_If(_u9471)), hAPP(c_fequal, _u9474))), _u9475)), c_Groups_Oone__class_Oone(_u9471))), _u9473) = c_Groups_Oone__class_Oone(_u9471)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9477), _u9478)) | ~hBOOL(hAPP(hAPP(c_member(_u9477), _u9479), _u9478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9477, _u9476), hAPP(hAPP(c_COMBC(_u9477, _u9476, _u9476), hAPP(hAPP(c_COMBS(_u9477, _u9476, tc_fun(_u9476, _u9476)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9476, tc_fun(_u9476, _u9476)), _u9477), c_If(_u9476)), hAPP(hAPP(c_COMBC(_u9477, _u9477, tc_HOL_Obool), c_fequal), _u9479))), _u9480)), c_Groups_Oone__class_Oone(_u9476))), _u9478) = hAPP(_u9480, _u9479)) )).
% 28.96/29.19 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9477), _u9478)) | hBOOL(hAPP(hAPP(c_member(_u9477), _u9479), _u9478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9477, _u9476), hAPP(hAPP(c_COMBC(_u9477, _u9476, _u9476), hAPP(hAPP(c_COMBS(_u9477, _u9476, tc_fun(_u9476, _u9476)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9476, tc_fun(_u9476, _u9476)), _u9477), c_If(_u9476)), hAPP(hAPP(c_COMBC(_u9477, _u9477, tc_HOL_Obool), c_fequal), _u9479))), _u9480)), c_Groups_Oone__class_Oone(_u9476))), _u9478) = c_Groups_Oone__class_Oone(_u9476)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9482), _u9483)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9482, _u9481), hAPP(c_COMBK(_u9481, _u9482), _u9484)), _u9483) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9481), _u9484), hAPP(c_Finite__Set_Ocard(_u9482), _u9483))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9486), _u9487)) | hBOOL(hAPP(hAPP(c_member(_u9486), _u9488), _u9487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9486, _u9485), _u9489), hAPP(hAPP(c_Set_Oinsert(_u9486), _u9488), _u9487)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9485), hAPP(_u9489, _u9488)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9486, _u9485), _u9489), _u9487))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9491), _u9492)) | hBOOL(hAPP(hAPP(c_member(_u9491), _u9493), _u9492)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9491, _u9490), _u9494), hAPP(hAPP(c_Set_Oinsert(_u9491), _u9493), _u9492)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9490), hAPP(_u9494, _u9493)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9491, _u9490), _u9494), _u9492))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9495) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9496), _u9497)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9496), _u9498)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9495), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9496, _u9495), _u9499), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9496, tc_HOL_Obool)), _u9497), _u9498))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9496, _u9495), _u9499), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9496, tc_HOL_Obool)), _u9497), _u9498))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9495), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9496, _u9495), _u9499), _u9497)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9496, _u9495), _u9499), _u9498))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9500) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9501), _u9502)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9501), _u9503)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9500), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9501, _u9500), _u9504), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9501, tc_HOL_Obool)), _u9502), _u9503))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9501, _u9500), _u9504), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9501, tc_HOL_Obool)), _u9502), _u9503))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9500), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9501, _u9500), _u9504), _u9502)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9501, _u9500), _u9504), _u9503))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9506), _u9507)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9506, _u9505), _u9508), hAPP(hAPP(c_Set_Oinsert(_u9506), _u9509), _u9507)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9505), hAPP(_u9508, _u9509)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9506, _u9505), _u9508), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9506, tc_HOL_Obool)), _u9507), hAPP(hAPP(c_Set_Oinsert(_u9506), _u9509), c_Orderings_Obot__class_Obot(tc_fun(_u9506, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9511), _u9512)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9511), _u9513)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9511, tc_HOL_Obool)), _u9512), _u9513) != c_Orderings_Obot__class_Obot(tc_fun(_u9511, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9511, _u9510), _u9514), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9511, tc_HOL_Obool)), _u9512), _u9513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9510), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9511, _u9510), _u9514), _u9512)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9511, _u9510), _u9514), _u9513))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9516), _u9517)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9516), _u9518)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9516, tc_HOL_Obool)), _u9517), _u9518) != c_Orderings_Obot__class_Obot(tc_fun(_u9516, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9516, _u9515), _u9519), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9516, tc_HOL_Obool)), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9515), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9516, _u9515), _u9519), _u9517)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9516, _u9515), _u9519), _u9518))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9520), _u9521)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9522), _u9523)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9520, _u9522)), c_Sum__Type_OPlus(_u9520, _u9522, _u9521, _u9523)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9520), _u9521)), hAPP(c_Finite__Set_Ocard(_u9522), _u9523))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9525), _u9526)) | ~hBOOL(hAPP(hAPP(c_member(_u9525), _u9527), _u9526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9525, _u9524), _u9528), _u9526) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9524), hAPP(_u9528, _u9527)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9525, _u9524), _u9528), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9525, tc_HOL_Obool)), _u9526), hAPP(hAPP(c_Set_Oinsert(_u9525), _u9527), c_Orderings_Obot__class_Obot(tc_fun(_u9525, tc_HOL_Obool))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u9529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9530), _u9531)) | ( hAPP(_u9532, _u9533) = c_Groups_Ozero__class_Ozero(_u9529)) | ~hBOOL(hAPP(hAPP(c_member(_u9530), _u9533), _u9531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9530, _u9529), _u9532), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9530, tc_HOL_Obool)), _u9531), hAPP(hAPP(c_Set_Oinsert(_u9530), _u9533), c_Orderings_Obot__class_Obot(tc_fun(_u9530, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9529), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9530, _u9529), _u9532), _u9531)), hAPP(_u9532, _u9533))) )).
% 28.96/29.19 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u9529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9530), _u9531)) | ( hAPP(_u9532, _u9533) = c_Groups_Ozero__class_Ozero(_u9529)) | hBOOL(hAPP(hAPP(c_member(_u9530), _u9533), _u9531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9530, _u9529), _u9532), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9530, tc_HOL_Obool)), _u9531), hAPP(hAPP(c_Set_Oinsert(_u9530), _u9533), c_Orderings_Obot__class_Obot(tc_fun(_u9530, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9530, _u9529), _u9532), _u9531)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u9535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9536), _u9537)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9536), _u9538)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9535), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), _u9537)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), _u9538))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538)))) | hBOOL(hAPP(hAPP(c_member(_u9536), skolem152(_u9539, _u9538, _u9537, _u9536, _u9535)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538))) )).
% 28.96/29.19 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u9535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9536), _u9537)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9536), _u9538)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9535), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), _u9537)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), _u9538))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538)))) | ( hAPP(_u9539, skolem152(_u9539, _u9538, _u9537, _u9536, _u9535)) = c_Groups_Ozero__class_Ozero(_u9535)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u9544, _u9546, _u9548, _u9550) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u9544, _u9546), tc_HOL_Obool))) | ( _u9548 = c_Orderings_Obot__class_Obot(tc_fun(_u9544, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u9544, _u9546, _u9548, _u9550) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u9544, _u9546), tc_HOL_Obool))) | ( _u9550 = c_Orderings_Obot__class_Obot(tc_fun(_u9546, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u9549 != c_Orderings_Obot__class_Obot(tc_fun(_u9545, tc_HOL_Obool))) | ( _u9551 != c_Orderings_Obot__class_Obot(tc_fun(_u9547, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u9545, _u9547, _u9549, _u9551) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u9545, _u9547), tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9553) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9554), _u9555)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9554), _u9556)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9554, tc_HOL_Obool)), _u9555), _u9556)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9553), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), _u9555)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), _u9556))) | hBOOL(hAPP(hAPP(c_member(_u9554), skolem153(_u9557, _u9556, _u9555, _u9554, _u9553)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9554, tc_HOL_Obool)), _u9555), _u9556))) )).
% 28.96/29.19 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9553) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9554), _u9555)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9554), _u9556)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9554, tc_HOL_Obool)), _u9555), _u9556)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9553), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), _u9555)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), _u9556))) | ( hAPP(_u9557, skolem153(_u9557, _u9556, _u9555, _u9554, _u9553)) != c_Groups_Oone__class_Oone(_u9553)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9559) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9560), _u9561)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9560), _u9562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9560, tc_HOL_Obool)), _u9561), _u9562)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9559), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), _u9561)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), _u9562))) | hBOOL(hAPP(hAPP(c_member(_u9560), skolem154(_u9563, _u9562, _u9561, _u9560, _u9559)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9560, tc_HOL_Obool)), _u9561), _u9562))) )).
% 28.96/29.19 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9559) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9560), _u9561)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9560), _u9562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9560, tc_HOL_Obool)), _u9561), _u9562)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9559), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), _u9561)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), _u9562))) | ( hAPP(_u9563, skolem154(_u9563, _u9562, _u9561, _u9560, _u9559)) != c_Groups_Oone__class_Oone(_u9559)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9565, tc_Int_Oint), _u9567), _u9566) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9565, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9565), c_Int_Onat), _u9567)), _u9566))) | hBOOL(hAPP(hAPP(c_member(_u9565), skolem155(_u9567, _u9566, _u9565)), _u9566)) )).
% 28.96/29.19 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9565, tc_Int_Oint), _u9567), _u9566) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9565, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9565), c_Int_Onat), _u9567)), _u9566))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u9567, skolem155(_u9567, _u9566, _u9565))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9568, _u9569)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9568), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9570), _u9571), _u9572) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9570, tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool)), _u9571), hAPP(hAPP(c_COMBC(_u9570, tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9570, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool)), _u9570), c_Set_Oinsert(tc_fun(_u9570, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9570, tc_HOL_Obool), tc_fun(_u9570, tc_HOL_Obool), _u9570), c_Relation_OImage(_u9570, _u9570, _u9572)), hAPP(hAPP(c_COMBC(_u9570, tc_fun(_u9570, tc_HOL_Obool), tc_fun(_u9570, tc_HOL_Obool)), c_Set_Oinsert(_u9570)), c_Orderings_Obot__class_Obot(tc_fun(_u9570, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9573) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9574), _u9575)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9574), _u9576)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9574, tc_HOL_Obool)), _u9575), _u9576) != c_Orderings_Obot__class_Obot(tc_fun(_u9574, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9573, _u9574, c_Groups_Otimes__class_Otimes(_u9573)), _u9577), c_Groups_Oone__class_Oone(_u9573)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9574, tc_HOL_Obool)), _u9575), _u9576)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9573), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9573, _u9574, c_Groups_Otimes__class_Otimes(_u9573)), _u9577), c_Groups_Oone__class_Oone(_u9573)), _u9575)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9573, _u9574, c_Groups_Otimes__class_Otimes(_u9573)), _u9577), c_Groups_Oone__class_Oone(_u9573)), _u9576))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9578), _u9579), _u9580)) | ~hBOOL(hAPP(hAPP(_u9581, _u9579), _u9582)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9578, tc_fun(_u9583, tc_HOL_Obool)), _u9580), _u9581), _u9582)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9584, _u9585))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9588), _u9589)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9588, tc_fun(_u9590, tc_HOL_Obool)), _u9589), _u9591))) | ~hBOOL(hAPP(hAPP(c_member(_u9588), _u9586), _u9589)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(_u9591, _u9586))) )).
% 28.96/29.19 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9588), _u9589)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9588, tc_fun(_u9590, tc_HOL_Obool)), _u9589), _u9591))) | hBOOL(hAPP(hAPP(c_member(_u9588), skolem156(_u9591, _u9590, _u9589, _u9588)), _u9589)) )).
% 28.96/29.19 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9588), _u9589)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9588, tc_fun(_u9590, tc_HOL_Obool)), _u9589), _u9591))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(_u9591, skolem156(_u9591, _u9590, _u9589, _u9588)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9592, _u9593, _u9594), _u9595), _u9596), c_Orderings_Obot__class_Obot(tc_fun(_u9593, tc_HOL_Obool))) = _u9596) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u9597, _u9598, _u9599), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9600, tc_fun(_u9597, tc_HOL_Obool)), _u9601), _u9602)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9600, tc_fun(_u9598, tc_HOL_Obool)), _u9601), hAPP(hAPP(c_COMBB(tc_fun(_u9597, tc_HOL_Obool), tc_fun(_u9598, tc_HOL_Obool), _u9600), c_Relation_OImage(_u9597, _u9598, _u9599)), _u9602))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9603, tc_fun(_u9604, tc_HOL_Obool)), _u9605), hAPP(c_Fun_Ocomp(_u9606, tc_fun(_u9604, tc_HOL_Obool), _u9603, _u9607), _u9608)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9606, tc_fun(_u9604, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9603, _u9606, _u9608), _u9605)), _u9607)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9616, tc_fun(_u9618, tc_HOL_Obool)), _u9620), _u9622), _u9624)) | hBOOL(hAPP(hAPP(c_member(_u9616), skolem157(_u9624, _u9622, _u9620, _u9618, _u9616)), _u9620)) )).
% 28.96/29.19 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9616, tc_fun(_u9618, tc_HOL_Obool)), _u9620), _u9622), _u9624)) | hBOOL(hAPP(hAPP(_u9622, skolem157(_u9624, _u9622, _u9620, _u9618, _u9616)), _u9624)) )).
% 28.96/29.19 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9617), _u9610), _u9621)) | ~hBOOL(hAPP(hAPP(_u9623, _u9610), _u9625)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9617, tc_fun(_u9619, tc_HOL_Obool)), _u9621), _u9623), _u9625)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u9626, _u9627, _u9628, _u9629, _u9630, _u9631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9627), _u9632)) | ( hAPP(_u9631, _u9632) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9626, _u9627, _u9628), _u9630), _u9629), _u9632)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u9633) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9633), _u9634), _u9635)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u9633, _u9635, _u9634) = c_Orderings_Obot__class_Obot(tc_fun(_u9633, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u9636) | ( hAPP(c_Set_Oimage(_u9636, _u9636, c_Groups_Ouminus__class_Ouminus(_u9636)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9636, _u9637, _u9638)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9636, hAPP(c_Groups_Ouminus__class_Ouminus(_u9636), _u9638), hAPP(c_Groups_Ouminus__class_Ouminus(_u9636), _u9637))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u9639, _u9640, _u9641), _u9642) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9639, tc_fun(_u9640, tc_HOL_Obool)), _u9642), hAPP(hAPP(c_COMBB(tc_fun(_u9639, tc_HOL_Obool), tc_fun(_u9640, tc_HOL_Obool), _u9639), c_Relation_OImage(_u9639, _u9640, _u9641)), hAPP(hAPP(c_COMBC(_u9639, tc_fun(_u9639, tc_HOL_Obool), tc_fun(_u9639, tc_HOL_Obool)), c_Set_Oinsert(_u9639)), c_Orderings_Obot__class_Obot(tc_fun(_u9639, tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9643) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9644), _u9645)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9643, _u9644, c_Groups_Otimes__class_Otimes(_u9643)), hAPP(hAPP(c_COMBS(_u9644, _u9643, _u9643), hAPP(hAPP(c_COMBB(_u9643, tc_fun(_u9643, _u9643), _u9644), c_Groups_Otimes__class_Otimes(_u9643)), _u9646)), _u9647)), c_Groups_Oone__class_Oone(_u9643)), _u9645) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9643), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9643, _u9644, c_Groups_Otimes__class_Otimes(_u9643)), _u9646), c_Groups_Oone__class_Oone(_u9643)), _u9645)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9643, _u9644, c_Groups_Otimes__class_Otimes(_u9643)), _u9647), c_Groups_Oone__class_Oone(_u9643)), _u9645))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u9648) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9649), _u9650)) | hBOOL(hAPP(hAPP(c_member(_u9649), _u9651), _u9650)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9648, _u9649, c_Groups_Otimes__class_Otimes(_u9648)), _u9652), _u9653), hAPP(hAPP(c_Set_Oinsert(_u9649), _u9651), _u9650)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9648), hAPP(_u9652, _u9651)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9648, _u9649, c_Groups_Otimes__class_Otimes(_u9648)), _u9652), _u9653), _u9650))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u9654) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9654, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9654, _u9655, _u9656)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9654, _u9657, _u9658)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9654, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9654), _u9655), _u9657), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9654), _u9656), _u9658))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9659) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9660), _u9661)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9660, _u9659), _u9662), _u9661) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9659, _u9660, c_Groups_Otimes__class_Otimes(_u9659)), _u9662), c_Groups_Oone__class_Oone(_u9659)), _u9661)) )).
% 28.96/29.19 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9659) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9660), _u9661)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9660, _u9659), _u9662), _u9661) = c_Groups_Oone__class_Oone(_u9659)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9663) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9664), _u9665)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9664, _u9663), _u9666), _u9665) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9663, _u9664, c_Groups_Otimes__class_Otimes(_u9663)), _u9666), c_Groups_Oone__class_Oone(_u9663)), _u9665)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9667) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9668), _u9669)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9668), _u9670)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9667), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9667, _u9668, c_Groups_Otimes__class_Otimes(_u9667)), _u9671), c_Groups_Oone__class_Oone(_u9667)), _u9669)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9667, _u9668, c_Groups_Otimes__class_Otimes(_u9667)), _u9671), c_Groups_Oone__class_Oone(_u9667)), _u9670)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9667), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9667, _u9668, c_Groups_Otimes__class_Otimes(_u9667)), _u9671), c_Groups_Oone__class_Oone(_u9667)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9668, tc_HOL_Obool)), _u9669), _u9670))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9667, _u9668, c_Groups_Otimes__class_Otimes(_u9667)), _u9671), c_Groups_Oone__class_Oone(_u9667)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9668, tc_HOL_Obool)), _u9669), _u9670)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9672), _u9673)) | ( hAPP(c_Set_Oimage(_u9672, _u9674, _u9675), _u9673) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u9674, tc_HOL_Obool), _u9672, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9674, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9672, tc_fun(_u9674, tc_HOL_Obool), tc_fun(_u9674, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u9674, tc_fun(tc_fun(_u9674, tc_HOL_Obool), tc_fun(_u9674, tc_HOL_Obool)), _u9672), c_Set_Oinsert(_u9674)), _u9675)), c_Orderings_Obot__class_Obot(tc_fun(_u9674, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u9674, tc_HOL_Obool))), _u9673)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9676), _u9677)) | ( hAPP(c_Finite__Set_Ocard(_u9676), _u9677) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u9676, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u9676), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9677)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9680), _u9682)) | ( hAPP(c_Finite__Set_Ocard(_u9680), _u9682) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u9680, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u9680), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9682)) )).
% 28.96/29.19 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), _u9683)) | ( hAPP(c_Finite__Set_Ocard(_u9681), _u9683) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9684), _u9685), _u9686)) | ~hBOOL(hAPP(hAPP(c_member(_u9687), _u9688), hAPP(_u9689, _u9685))) | hBOOL(hAPP(hAPP(c_member(_u9687), _u9688), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9684, tc_fun(_u9687, tc_HOL_Obool)), _u9686), _u9689))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u9690, _u9691, _u9692), _u9693) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9690, tc_fun(_u9691, tc_HOL_Obool)), _u9693), hAPP(hAPP(c_COMBC(_u9690, tc_fun(_u9691, tc_HOL_Obool), tc_fun(_u9691, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u9691, tc_fun(tc_fun(_u9691, tc_HOL_Obool), tc_fun(_u9691, tc_HOL_Obool)), _u9690), c_Set_Oinsert(_u9691)), _u9692)), c_Orderings_Obot__class_Obot(tc_fun(_u9691, tc_HOL_Obool))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u9694, _u9695, _u9696) | ~c_Equiv__Relations_Ocongruent(_u9694, tc_fun(_u9697, tc_HOL_Obool), _u9696, _u9698) | ~hBOOL(hAPP(hAPP(c_member(_u9694), _u9699), _u9695)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9694, tc_fun(_u9697, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9694, _u9694, _u9696), hAPP(hAPP(c_Set_Oinsert(_u9694), _u9699), c_Orderings_Obot__class_Obot(tc_fun(_u9694, tc_HOL_Obool))))), _u9698) = hAPP(_u9698, _u9699)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u9700, _u9701, _u9702) | ~c_Equiv__Relations_Oequiv(_u9703, _u9704, _u9705) | ~c_Equiv__Relations_Ocongruent2(_u9700, _u9703, tc_fun(_u9706, tc_HOL_Obool), _u9702, _u9705, _u9707) | ~hBOOL(hAPP(hAPP(c_member(_u9700), _u9708), _u9701)) | ~hBOOL(hAPP(hAPP(c_member(_u9703), _u9709), _u9704)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9700, tc_fun(_u9706, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9700, _u9700, _u9702), hAPP(hAPP(c_Set_Oinsert(_u9700), _u9708), c_Orderings_Obot__class_Obot(tc_fun(_u9700, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u9703, tc_fun(_u9706, tc_HOL_Obool)), tc_fun(_u9706, tc_HOL_Obool), _u9700), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9703, tc_fun(_u9706, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9703, _u9703, _u9705), hAPP(hAPP(c_Set_Oinsert(_u9703), _u9709), c_Orderings_Obot__class_Obot(tc_fun(_u9703, tc_HOL_Obool)))))), _u9707)) = hAPP(hAPP(_u9707, _u9708), _u9709)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9710, _u9711))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u9712, _u9713, _u9714) | ~c_Equiv__Relations_Ocongruent2(_u9712, _u9715, _u9716, _u9714, _u9717, _u9718) | ~hBOOL(hAPP(hAPP(c_member(_u9712), _u9719), _u9713)) | c_Equiv__Relations_Ocongruent(_u9715, _u9716, _u9717, hAPP(_u9718, _u9719)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9733), _u9722), _u9735)) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9721), hAPP(_u9737, _u9722))) | hBOOL(hAPP(_u9739, _u9721)) | hBOOL(hAPP(hAPP(c_member(_u9731), skolem158(_u9739, _u9737, _u9735, _u9733, _u9731)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9733, tc_fun(_u9731, tc_HOL_Obool)), _u9735), _u9737))) )).
% 28.96/29.19 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9733), _u9722), _u9735)) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9721), hAPP(_u9737, _u9722))) | hBOOL(hAPP(_u9739, _u9721)) | ~hBOOL(hAPP(_u9739, skolem158(_u9739, _u9737, _u9735, _u9733, _u9731))) )).
% 28.96/29.19 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9732), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9734, tc_fun(_u9732, tc_HOL_Obool)), _u9736), _u9738))) | hBOOL(hAPP(_u9740, _u9725)) | hBOOL(hAPP(hAPP(c_member(_u9734), skolem159(_u9740, _u9738, _u9736, _u9734, _u9732)), _u9736)) )).
% 28.96/29.19 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9732), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9734, tc_fun(_u9732, tc_HOL_Obool)), _u9736), _u9738))) | hBOOL(hAPP(_u9740, _u9725)) | hBOOL(hAPP(hAPP(c_member(_u9732), skolem160(_u9740, _u9738, _u9736, _u9734, _u9732)), hAPP(_u9738, skolem159(_u9740, _u9738, _u9736, _u9734, _u9732)))) )).
% 28.96/29.19 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9732), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9734, tc_fun(_u9732, tc_HOL_Obool)), _u9736), _u9738))) | hBOOL(hAPP(_u9740, _u9725)) | ~hBOOL(hAPP(_u9740, skolem160(_u9740, _u9738, _u9736, _u9734, _u9732))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9741, _u9742)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9742), hAPP(c_Nat_OSuc, _u9741))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9743) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9744, _u9743), _u9745), hAPP(hAPP(c_COMBB(tc_fun(_u9746, _u9743), _u9743, _u9744), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, _u9743), _u9747)), _u9748)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, _u9743), _u9747), hAPP(hAPP(c_COMBB(tc_fun(_u9744, _u9743), _u9743, _u9746), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9744, _u9743), _u9745)), hAPP(c_COMBC(_u9744, _u9746, _u9743), _u9748)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9749, tc_fun(_u9750, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9751, tc_fun(_u9749, tc_HOL_Obool)), _u9752), _u9753)), _u9754) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9751, tc_fun(_u9750, tc_HOL_Obool)), _u9752), hAPP(hAPP(c_COMBC(_u9751, tc_fun(_u9749, tc_fun(_u9750, tc_HOL_Obool)), tc_fun(_u9750, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9749, tc_HOL_Obool), tc_fun(tc_fun(_u9749, tc_fun(_u9750, tc_HOL_Obool)), tc_fun(_u9750, tc_HOL_Obool)), _u9751), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9749, tc_fun(_u9750, tc_HOL_Obool))), _u9753)), _u9754))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9755, tc_fun(_u9756, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9757, tc_fun(_u9755, tc_HOL_Obool)), _u9758), _u9759)), _u9760) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9757, tc_fun(_u9756, tc_HOL_Obool)), _u9758), hAPP(hAPP(c_COMBC(_u9757, tc_fun(_u9755, tc_fun(_u9756, tc_HOL_Obool)), tc_fun(_u9756, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9755, tc_HOL_Obool), tc_fun(tc_fun(_u9755, tc_fun(_u9756, tc_HOL_Obool)), tc_fun(_u9756, tc_HOL_Obool)), _u9757), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9755, tc_fun(_u9756, tc_HOL_Obool))), _u9759)), _u9760))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9761, tc_fun(_u9762, tc_HOL_Obool)), _u9763), hAPP(hAPP(c_COMBC(_u9761, tc_fun(_u9764, tc_fun(_u9762, tc_HOL_Obool)), tc_fun(_u9762, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9764, tc_HOL_Obool), tc_fun(tc_fun(_u9764, tc_fun(_u9762, tc_HOL_Obool)), tc_fun(_u9762, tc_HOL_Obool)), _u9761), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9764, tc_fun(_u9762, tc_HOL_Obool))), _u9765)), _u9766)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9764, tc_fun(_u9762, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9761, tc_fun(_u9764, tc_HOL_Obool)), _u9763), _u9765)), _u9766)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u9767, _u9768, _u9769, _u9770, _u9771, _u9772) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9767, _u9767)), hAPP(hAPP(c_Product__Type_OPair(_u9767, _u9767), _u9773), _u9774)), _u9770)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9768, _u9768)), hAPP(hAPP(c_Product__Type_OPair(_u9768, _u9768), _u9775), _u9776)), _u9771)) | ( hAPP(hAPP(_u9772, _u9773), _u9775) = hAPP(hAPP(_u9772, _u9774), _u9776)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u9777, _u9778, _u9779, _u9780) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9777, _u9777)), hAPP(hAPP(c_Product__Type_OPair(_u9777, _u9777), _u9781), _u9782)), _u9779)) | ( hAPP(_u9780, _u9781) = hAPP(_u9780, _u9782)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u9783, _u9784, _u9785) | ~c_Equiv__Relations_Oequiv(_u9786, _u9787, _u9788) | ~c_Equiv__Relations_Ocongruent2(_u9783, _u9786, tc_fun(_u9789, tc_HOL_Obool), _u9785, _u9788, _u9790) | ~hBOOL(hAPP(hAPP(c_member(_u9786), _u9791), _u9787)) | c_Equiv__Relations_Ocongruent(_u9783, tc_fun(_u9789, tc_HOL_Obool), _u9785, hAPP(hAPP(c_COMBB(tc_fun(_u9786, tc_fun(_u9789, tc_HOL_Obool)), tc_fun(_u9789, tc_HOL_Obool), _u9783), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9786, tc_fun(_u9789, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9786, _u9786, _u9788), hAPP(hAPP(c_Set_Oinsert(_u9786), _u9791), c_Orderings_Obot__class_Obot(tc_fun(_u9786, tc_HOL_Obool)))))), _u9790)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9795, _u9794), _u9796), _u9797)), _u9798)) | ~hBOOL(hAPP(hAPP(c_member(_u9795), _u9792), _u9796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(_u9797, _u9792)), _u9798)) )).
% 28.96/29.19 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9794) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9795, _u9794), _u9796), _u9797)), _u9798)) | hBOOL(hAPP(hAPP(c_member(_u9795), skolem161(_u9798, _u9797, _u9796, _u9795, _u9794)), _u9796)) )).
% 28.96/29.19 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9794) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9795, _u9794), _u9796), _u9797)), _u9798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(_u9797, skolem161(_u9798, _u9797, _u9796, _u9795, _u9794))), _u9798)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9801) | ~class_Orderings_Olinorder(_u9801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9803, _u9801), _u9804), _u9805))) | hBOOL(hAPP(hAPP(c_member(_u9803), skolem162(_u9805, _u9804, _u9803, _u9802, _u9801)), _u9804)) )).
% 28.96/29.19 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9801) | ~class_Orderings_Olinorder(_u9801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9803, _u9801), _u9804), _u9805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(_u9805, skolem162(_u9805, _u9804, _u9803, _u9802, _u9801)))) )).
% 28.96/29.19 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9801) | ~class_Orderings_Olinorder(_u9801) | ~hBOOL(hAPP(hAPP(c_member(_u9803), _u9800), _u9804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(_u9805, _u9800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9803, _u9801), _u9804), _u9805))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9813), _u9815), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9817, tc_fun(_u9813, tc_HOL_Obool)), _u9819), _u9821))) | hBOOL(hAPP(hAPP(c_member(_u9817), skolem163(_u9821, _u9819, _u9817, _u9815, _u9813)), _u9819)) )).
% 28.96/29.19 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9813), _u9815), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9817, tc_fun(_u9813, tc_HOL_Obool)), _u9819), _u9821))) | hBOOL(hAPP(hAPP(c_member(_u9813), _u9815), hAPP(_u9821, skolem163(_u9821, _u9819, _u9817, _u9815, _u9813)))) )).
% 28.96/29.19 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9818), _u9807), _u9820)) | ~hBOOL(hAPP(hAPP(c_member(_u9814), _u9816), hAPP(_u9822, _u9807))) | hBOOL(hAPP(hAPP(c_member(_u9814), _u9816), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9818, tc_fun(_u9814, tc_HOL_Obool)), _u9820), _u9822))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9823) | ( _u9824 = c_Orderings_Obot__class_Obot(tc_fun(_u9825, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9825, _u9823), _u9824), hAPP(c_COMBK(_u9823, _u9825), _u9826)) = _u9826) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9833, tc_fun(_u9835, tc_HOL_Obool)), _u9837), _u9839) != c_Orderings_Obot__class_Obot(tc_fun(_u9835, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9833), _u9827), _u9837)) | ( hAPP(_u9839, _u9827) = c_Orderings_Obot__class_Obot(tc_fun(_u9835, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9834, tc_fun(_u9836, tc_HOL_Obool)), _u9838), _u9840) = c_Orderings_Obot__class_Obot(tc_fun(_u9836, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9834), skolem164(_u9840, _u9838, _u9836, _u9834)), _u9838)) )).
% 28.96/29.19 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9834, tc_fun(_u9836, tc_HOL_Obool)), _u9838), _u9840) = c_Orderings_Obot__class_Obot(tc_fun(_u9836, tc_HOL_Obool))) | ( hAPP(_u9840, skolem164(_u9840, _u9838, _u9836, _u9834)) != c_Orderings_Obot__class_Obot(tc_fun(_u9836, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__constant-1, axiom, ( ( _u9845 != c_Orderings_Obot__class_Obot(tc_fun(_u9847, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9847, tc_fun(_u9849, tc_HOL_Obool)), _u9845), hAPP(c_COMBK(tc_fun(_u9849, tc_HOL_Obool), _u9847), _u9851)) = c_Orderings_Obot__class_Obot(tc_fun(_u9849, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_UN__constant-2, axiom, ( ( _u9846 = c_Orderings_Obot__class_Obot(tc_fun(_u9848, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9848, tc_fun(_u9850, tc_HOL_Obool)), _u9846), hAPP(c_COMBK(tc_fun(_u9850, tc_HOL_Obool), _u9848), _u9852)) = _u9852) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9853, tc_fun(_u9854, tc_HOL_Obool)), _u9855), hAPP(c_COMBK(tc_fun(_u9854, tc_HOL_Obool), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9854, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9854, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9862, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9864, tc_fun(_u9862, tc_HOL_Obool)), _u9866), _u9868)) | ~hBOOL(hAPP(hAPP(c_member(_u9864), _u9856), _u9866)) | ( hAPP(_u9868, _u9856) = c_Orderings_Obot__class_Obot(tc_fun(_u9862, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9865, tc_fun(_u9863, tc_HOL_Obool)), _u9867), _u9869)) | hBOOL(hAPP(hAPP(c_member(_u9865), skolem165(_u9869, _u9867, _u9865, _u9863)), _u9867)) )).
% 28.96/29.19 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9865, tc_fun(_u9863, tc_HOL_Obool)), _u9867), _u9869)) | ( hAPP(_u9869, skolem165(_u9869, _u9867, _u9865, _u9863)) != c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9877, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9879, tc_fun(_u9877, tc_HOL_Obool)), _u9881), _u9883)), _u9885)) | ~hBOOL(hAPP(hAPP(c_member(_u9879), _u9870), _u9881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9877, tc_HOL_Obool)), hAPP(_u9883, _u9870)), _u9885)) )).
% 28.96/29.19 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9878, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9880, tc_fun(_u9878, tc_HOL_Obool)), _u9882), _u9884)), _u9886)) | hBOOL(hAPP(hAPP(c_member(_u9880), skolem166(_u9886, _u9884, _u9882, _u9880, _u9878)), _u9882)) )).
% 28.96/29.19 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9878, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9880, tc_fun(_u9878, tc_HOL_Obool)), _u9882), _u9884)), _u9886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9878, tc_HOL_Obool)), hAPP(_u9884, skolem166(_u9886, _u9884, _u9882, _u9880, _u9878))), _u9886)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9887, tc_fun(_u9888, tc_HOL_Obool)), _u9889), hAPP(hAPP(c_COMBB(_u9890, tc_fun(_u9888, tc_HOL_Obool), _u9887), _u9891), _u9892)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9890, tc_fun(_u9888, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9887, _u9890, _u9892), _u9889)), _u9891)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u9893, _u9894, _u9895), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9896, tc_fun(_u9893, tc_HOL_Obool)), _u9897), _u9898)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9896, tc_fun(_u9894, tc_HOL_Obool)), _u9897), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9894, tc_HOL_Obool), _u9896), c_Set_Oimage(_u9893, _u9894, _u9895)), _u9898))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9899, tc_fun(_u9900, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9901, _u9899, _u9902), _u9903)), _u9904) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9901, tc_fun(_u9900, tc_HOL_Obool)), _u9903), hAPP(hAPP(c_COMBB(_u9899, tc_fun(_u9900, tc_HOL_Obool), _u9901), _u9904), _u9902))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9905, tc_fun(_u9906, tc_HOL_Obool)), _u9907), hAPP(hAPP(c_COMBS(_u9905, tc_fun(_u9906, tc_HOL_Obool), tc_fun(_u9906, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9906, tc_HOL_Obool), tc_fun(tc_fun(_u9906, tc_HOL_Obool), tc_fun(_u9906, tc_HOL_Obool)), _u9905), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9906, tc_HOL_Obool))), _u9908)), _u9909)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9906, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9905, tc_fun(_u9906, tc_HOL_Obool)), _u9907), _u9908)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9905, tc_fun(_u9906, tc_HOL_Obool)), _u9907), _u9909))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9910, tc_fun(_u9911, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9910, tc_HOL_Obool)), _u9912), _u9913)), _u9914) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9911, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9910, tc_fun(_u9911, tc_HOL_Obool)), _u9912), _u9914)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9910, tc_fun(_u9911, tc_HOL_Obool)), _u9913), _u9914))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9915, tc_fun(_u9916, tc_HOL_Obool)), _u9917), hAPP(hAPP(c_COMBB(tc_fun(_u9916, tc_HOL_Obool), tc_fun(_u9916, tc_HOL_Obool), _u9915), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9916, tc_HOL_Obool)), _u9918)), _u9919)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9916, tc_HOL_Obool)), _u9918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9915, tc_fun(_u9916, tc_HOL_Obool)), _u9917), _u9919))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9920, tc_fun(_u9921, tc_HOL_Obool)), _u9922), hAPP(hAPP(c_COMBC(_u9920, tc_fun(_u9921, tc_HOL_Obool), tc_fun(_u9921, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9921, tc_HOL_Obool), tc_fun(tc_fun(_u9921, tc_HOL_Obool), tc_fun(_u9921, tc_HOL_Obool)), _u9920), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9921, tc_HOL_Obool))), _u9923)), _u9924)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9921, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9920, tc_fun(_u9921, tc_HOL_Obool)), _u9922), _u9923)), _u9924)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9925, tc_HOL_Obool)), _u9926), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9927, tc_fun(_u9925, tc_HOL_Obool)), _u9928), _u9929)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9927, tc_fun(_u9925, tc_HOL_Obool)), _u9928), hAPP(hAPP(c_COMBB(tc_fun(_u9925, tc_HOL_Obool), tc_fun(_u9925, tc_HOL_Obool), _u9927), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9925, tc_HOL_Obool)), _u9926)), _u9929))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9930, tc_HOL_Obool)), _u9931), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9932, tc_fun(_u9930, tc_HOL_Obool)), _u9933), _u9934)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9932, tc_fun(_u9930, tc_HOL_Obool)), _u9933), hAPP(hAPP(c_COMBB(tc_fun(_u9930, tc_HOL_Obool), tc_fun(_u9930, tc_HOL_Obool), _u9932), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9930, tc_HOL_Obool)), _u9931)), _u9934))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9935, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9936, tc_fun(_u9935, tc_HOL_Obool)), _u9937), _u9938)), _u9939) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9936, tc_fun(_u9935, tc_HOL_Obool)), _u9937), hAPP(hAPP(c_COMBC(_u9936, tc_fun(_u9935, tc_HOL_Obool), tc_fun(_u9935, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9935, tc_HOL_Obool), tc_fun(tc_fun(_u9935, tc_HOL_Obool), tc_fun(_u9935, tc_HOL_Obool)), _u9936), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9935, tc_HOL_Obool))), _u9938)), _u9939))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9940, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9941, tc_fun(_u9940, tc_HOL_Obool)), _u9942), _u9943)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9944, tc_fun(_u9940, tc_HOL_Obool)), _u9945), _u9946)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9941, tc_fun(_u9940, tc_HOL_Obool)), _u9942), hAPP(hAPP(c_COMBB(tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool)), tc_fun(_u9940, tc_HOL_Obool), _u9941), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9944, tc_fun(_u9940, tc_HOL_Obool)), _u9945)), hAPP(hAPP(c_COMBC(_u9941, tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool)), tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9940, tc_HOL_Obool), tc_fun(_u9940, tc_HOL_Obool)), tc_fun(tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool)), tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool))), _u9941), c_COMBB(tc_fun(_u9940, tc_HOL_Obool), tc_fun(_u9940, tc_HOL_Obool), _u9944)), hAPP(hAPP(c_COMBB(tc_fun(_u9940, tc_HOL_Obool), tc_fun(tc_fun(_u9940, tc_HOL_Obool), tc_fun(_u9940, tc_HOL_Obool)), _u9941), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9940, tc_HOL_Obool))), _u9943))), _u9946)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9947) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9948, tc_fun(_u9949, _u9947)), _u9950), _u9951), _u9952) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9948, _u9947), _u9950), hAPP(hAPP(c_COMBC(_u9948, _u9949, _u9947), _u9951), _u9952))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9953, tc_fun(_u9954, tc_HOL_Obool)), _u9955), hAPP(hAPP(c_COMBC(_u9953, tc_fun(_u9954, tc_HOL_Obool), tc_fun(_u9954, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9954, tc_HOL_Obool), tc_fun(tc_fun(_u9954, tc_HOL_Obool), tc_fun(_u9954, tc_HOL_Obool)), _u9953), c_Groups_Ominus__class_Ominus(tc_fun(_u9954, tc_HOL_Obool))), _u9956)), _u9957)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9954, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9953, tc_fun(_u9954, tc_HOL_Obool)), _u9955), _u9956)), _u9957)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9958, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9959, tc_fun(_u9958, tc_HOL_Obool)), _u9960), _u9961)), _u9962) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9959, tc_fun(_u9958, tc_HOL_Obool)), _u9960), hAPP(hAPP(c_COMBC(_u9959, tc_fun(_u9958, tc_HOL_Obool), tc_fun(_u9958, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9958, tc_HOL_Obool), tc_fun(tc_fun(_u9958, tc_HOL_Obool), tc_fun(_u9958, tc_HOL_Obool)), _u9959), c_Groups_Ominus__class_Ominus(tc_fun(_u9958, tc_HOL_Obool))), _u9961)), _u9962))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9964, tc_HOL_Obool)), _u9965), _u9966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9964, _u9963), _u9965), _u9967)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9964, _u9963), _u9966), _u9967))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9968) | ~hBOOL(hAPP(hAPP(c_member(_u9969), _u9970), _u9971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9968), hAPP(_u9972, _u9970)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9969, _u9968), _u9971), _u9972))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9973), _u9974), _u9975)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9973, tc_fun(_u9976, tc_HOL_Obool)), _u9975), hAPP(hAPP(c_COMBB(tc_fun(_u9976, tc_HOL_Obool), tc_fun(_u9976, tc_HOL_Obool), _u9973), hAPP(c_Set_Oinsert(_u9976), _u9977)), _u9978)) = hAPP(hAPP(c_Set_Oinsert(_u9976), _u9977), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9973, tc_fun(_u9976, tc_HOL_Obool)), _u9975), _u9978))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9979), _u9980), _u9981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9982, tc_HOL_Obool)), hAPP(_u9983, _u9980)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9979, tc_fun(_u9982, tc_HOL_Obool)), _u9981), _u9983))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9984), _u9985), _u9986)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9987, tc_HOL_Obool)), hAPP(_u9988, _u9985)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9984, tc_fun(_u9987, tc_HOL_Obool)), _u9986), _u9988)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9984, tc_fun(_u9987, tc_HOL_Obool)), _u9986), _u9988)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u9994 != c_Orderings_Obot__class_Obot(tc_fun(_u9996, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9998), _u10000), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9996, tc_fun(_u9998, tc_HOL_Obool)), _u9994), _u10002)) = hAPP(hAPP(c_Set_Oinsert(_u9998), _u10000), c_Orderings_Obot__class_Obot(tc_fun(_u9998, tc_HOL_Obool)))) )).
% 28.96/29.19 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u9995 = c_Orderings_Obot__class_Obot(tc_fun(_u9997, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9999), _u10001), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9997, tc_fun(_u9999, tc_HOL_Obool)), _u9995), _u10003)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9997, tc_fun(_u9999, tc_HOL_Obool)), _u9995), hAPP(hAPP(c_COMBB(tc_fun(_u9999, tc_HOL_Obool), tc_fun(_u9999, tc_HOL_Obool), _u9997), hAPP(c_Set_Oinsert(_u9999), _u10001)), _u10003))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10004, tc_fun(_u10004, tc_HOL_Obool)), _u10005), hAPP(hAPP(c_COMBC(_u10004, tc_fun(_u10004, tc_HOL_Obool), tc_fun(_u10004, tc_HOL_Obool)), c_Set_Oinsert(_u10004)), c_Orderings_Obot__class_Obot(tc_fun(_u10004, tc_HOL_Obool)))) = _u10005) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u10011 != c_Orderings_Obot__class_Obot(tc_fun(_u10013, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10013, tc_fun(_u10015, tc_HOL_Obool)), _u10011), hAPP(hAPP(c_COMBB(tc_fun(_u10015, tc_HOL_Obool), tc_fun(_u10015, tc_HOL_Obool), _u10013), hAPP(c_Set_Oinsert(_u10015), _u10017)), _u10019)) = c_Orderings_Obot__class_Obot(tc_fun(_u10015, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u10012 = c_Orderings_Obot__class_Obot(tc_fun(_u10014, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10014, tc_fun(_u10016, tc_HOL_Obool)), _u10012), hAPP(hAPP(c_COMBB(tc_fun(_u10016, tc_HOL_Obool), tc_fun(_u10016, tc_HOL_Obool), _u10014), hAPP(c_Set_Oinsert(_u10016), _u10018)), _u10020)) = hAPP(hAPP(c_Set_Oinsert(_u10016), _u10018), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10014, tc_fun(_u10016, tc_HOL_Obool)), _u10012), _u10020))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u10026 != c_Orderings_Obot__class_Obot(tc_fun(_u10028, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10030, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10028, tc_fun(_u10030, tc_HOL_Obool)), _u10026), _u10032)), _u10034) = _u10034) )).
% 28.96/29.19 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u10027 = c_Orderings_Obot__class_Obot(tc_fun(_u10029, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10031, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10029, tc_fun(_u10031, tc_HOL_Obool)), _u10027), _u10033)), _u10035) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10029, tc_fun(_u10031, tc_HOL_Obool)), _u10027), hAPP(hAPP(c_COMBC(_u10029, tc_fun(_u10031, tc_HOL_Obool), tc_fun(_u10031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10031, tc_HOL_Obool), tc_fun(tc_fun(_u10031, tc_HOL_Obool), tc_fun(_u10031, tc_HOL_Obool)), _u10029), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10031, tc_HOL_Obool))), _u10033)), _u10035))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u10041 != c_Orderings_Obot__class_Obot(tc_fun(_u10043, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10045, tc_HOL_Obool)), _u10047), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10043, tc_fun(_u10045, tc_HOL_Obool)), _u10041), _u10049)) = _u10047) )).
% 28.96/29.19 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u10042 = c_Orderings_Obot__class_Obot(tc_fun(_u10044, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10046, tc_HOL_Obool)), _u10048), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10044, tc_fun(_u10046, tc_HOL_Obool)), _u10042), _u10050)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10044, tc_fun(_u10046, tc_HOL_Obool)), _u10042), hAPP(hAPP(c_COMBB(tc_fun(_u10046, tc_HOL_Obool), tc_fun(_u10046, tc_HOL_Obool), _u10044), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10046, tc_HOL_Obool)), _u10048)), _u10050))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u10056 != c_Orderings_Obot__class_Obot(tc_fun(_u10058, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10058, tc_fun(_u10060, tc_HOL_Obool)), _u10056), hAPP(hAPP(c_COMBC(_u10058, tc_fun(_u10060, tc_HOL_Obool), tc_fun(_u10060, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10060, tc_HOL_Obool), tc_fun(tc_fun(_u10060, tc_HOL_Obool), tc_fun(_u10060, tc_HOL_Obool)), _u10058), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10060, tc_HOL_Obool))), _u10062)), _u10064)) = c_Orderings_Obot__class_Obot(tc_fun(_u10060, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u10057 = c_Orderings_Obot__class_Obot(tc_fun(_u10059, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10059, tc_fun(_u10061, tc_HOL_Obool)), _u10057), hAPP(hAPP(c_COMBC(_u10059, tc_fun(_u10061, tc_HOL_Obool), tc_fun(_u10061, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10061, tc_HOL_Obool), tc_fun(tc_fun(_u10061, tc_HOL_Obool), tc_fun(_u10061, tc_HOL_Obool)), _u10059), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10061, tc_HOL_Obool))), _u10063)), _u10065)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10061, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10059, tc_fun(_u10061, tc_HOL_Obool)), _u10057), _u10063)), _u10065)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u10071 != c_Orderings_Obot__class_Obot(tc_fun(_u10073, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10073, tc_fun(_u10075, tc_HOL_Obool)), _u10071), hAPP(hAPP(c_COMBB(tc_fun(_u10075, tc_HOL_Obool), tc_fun(_u10075, tc_HOL_Obool), _u10073), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10075, tc_HOL_Obool)), _u10077)), _u10079)) = c_Orderings_Obot__class_Obot(tc_fun(_u10075, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u10072 = c_Orderings_Obot__class_Obot(tc_fun(_u10074, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10074, tc_fun(_u10076, tc_HOL_Obool)), _u10072), hAPP(hAPP(c_COMBB(tc_fun(_u10076, tc_HOL_Obool), tc_fun(_u10076, tc_HOL_Obool), _u10074), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10076, tc_HOL_Obool)), _u10078)), _u10080)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10076, tc_HOL_Obool)), _u10078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10074, tc_fun(_u10076, tc_HOL_Obool)), _u10072), _u10080))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10081, tc_fun(_u10082, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10081), _u10083), _u10084)), _u10085) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10082, tc_HOL_Obool)), hAPP(_u10085, _u10083)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10081, tc_fun(_u10082, tc_HOL_Obool)), _u10084), _u10085))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10086) = 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, _u10086)), 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)))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10089, _u10090, _u10091) | ~c_Equiv__Relations_Ocongruent(_u10089, tc_fun(_u10092, tc_HOL_Obool), _u10091, _u10093) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10094), _u10093) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10095), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ( _u10094 = _u10095) | hBOOL(hAPP(hAPP(c_member(_u10089), skolem167(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089)), _u10090)) )).
% 28.96/29.19 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10089, _u10090, _u10091) | ~c_Equiv__Relations_Ocongruent(_u10089, tc_fun(_u10092, tc_HOL_Obool), _u10091, _u10093) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10094), _u10093) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10095), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ( _u10094 = _u10095) | hBOOL(hAPP(hAPP(c_member(_u10089), skolem168(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089)), _u10090)) )).
% 28.96/29.19 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u10089, _u10090, _u10091) | ~c_Equiv__Relations_Ocongruent(_u10089, tc_fun(_u10092, tc_HOL_Obool), _u10091, _u10093) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10094), _u10093) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10095), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ( _u10094 = _u10095) | ( hAPP(_u10093, skolem167(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089)) = hAPP(_u10093, skolem168(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089))) )).
% 28.96/29.19 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u10089, _u10090, _u10091) | ~c_Equiv__Relations_Ocongruent(_u10089, tc_fun(_u10092, tc_HOL_Obool), _u10091, _u10093) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10094), _u10093) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10095), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ( _u10094 = _u10095) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10089, _u10089)), hAPP(hAPP(c_Product__Type_OPair(_u10089, _u10089), skolem167(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089)), skolem168(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089))), _u10091)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10098, _u10099, _u10100) | ~c_Equiv__Relations_Oequiv(_u10101, _u10102, _u10103) | ~c_Equiv__Relations_Ocongruent2(_u10098, _u10101, tc_fun(_u10104, tc_HOL_Obool), _u10100, _u10103, _u10105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10098, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10098), _u10099), _u10100))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10101, tc_HOL_Obool)), _u10107), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10101), _u10102), _u10103))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10104, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10098, tc_fun(_u10104, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_COMBB(tc_fun(_u10101, tc_fun(_u10104, tc_HOL_Obool)), tc_fun(_u10104, tc_HOL_Obool), _u10098), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10101, tc_fun(_u10104, tc_HOL_Obool)), _u10107)), _u10105))), _u10108)) | hBOOL(hAPP(hAPP(c_member(_u10098), skolem169(_u10108, _u10107, _u10106, _u10105, _u10104, _u10103, _u10102, _u10101, _u10100, _u10099, _u10098)), _u10099)) )).
% 28.96/29.19 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10098, _u10099, _u10100) | ~c_Equiv__Relations_Oequiv(_u10101, _u10102, _u10103) | ~c_Equiv__Relations_Ocongruent2(_u10098, _u10101, tc_fun(_u10104, tc_HOL_Obool), _u10100, _u10103, _u10105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10098, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10098), _u10099), _u10100))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10101, tc_HOL_Obool)), _u10107), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10101), _u10102), _u10103))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10104, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10098, tc_fun(_u10104, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_COMBB(tc_fun(_u10101, tc_fun(_u10104, tc_HOL_Obool)), tc_fun(_u10104, tc_HOL_Obool), _u10098), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10101, tc_fun(_u10104, tc_HOL_Obool)), _u10107)), _u10105))), _u10108)) | hBOOL(hAPP(hAPP(c_member(_u10101), skolem170(_u10108, _u10107, _u10106, _u10105, _u10104, _u10103, _u10102, _u10101, _u10100, _u10099, _u10098)), _u10102)) )).
% 28.96/29.19 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u10098, _u10099, _u10100) | ~c_Equiv__Relations_Oequiv(_u10101, _u10102, _u10103) | ~c_Equiv__Relations_Ocongruent2(_u10098, _u10101, tc_fun(_u10104, tc_HOL_Obool), _u10100, _u10103, _u10105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10098, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10098), _u10099), _u10100))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10101, tc_HOL_Obool)), _u10107), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10101), _u10102), _u10103))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10104, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10098, tc_fun(_u10104, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_COMBB(tc_fun(_u10101, tc_fun(_u10104, tc_HOL_Obool)), tc_fun(_u10104, tc_HOL_Obool), _u10098), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10101, tc_fun(_u10104, tc_HOL_Obool)), _u10107)), _u10105))), _u10108)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10104, tc_HOL_Obool)), hAPP(hAPP(_u10105, skolem169(_u10108, _u10107, _u10106, _u10105, _u10104, _u10103, _u10102, _u10101, _u10100, _u10099, _u10098)), skolem170(_u10108, _u10107, _u10106, _u10105, _u10104, _u10103, _u10102, _u10101, _u10100, _u10099, _u10098))), _u10108)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u10110, _u10111, _u10112) | ~c_Equiv__Relations_Ocongruent(_u10110, tc_fun(_u10113, tc_HOL_Obool), _u10112, _u10114) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10110, tc_HOL_Obool)), _u10115), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10110), _u10111), _u10112))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10113, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10110, tc_fun(_u10113, tc_HOL_Obool)), _u10115), _u10114)), _u10116)) | hBOOL(hAPP(hAPP(c_member(_u10110), skolem171(_u10116, _u10115, _u10114, _u10113, _u10112, _u10111, _u10110)), _u10111)) )).
% 28.96/29.19 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u10110, _u10111, _u10112) | ~c_Equiv__Relations_Ocongruent(_u10110, tc_fun(_u10113, tc_HOL_Obool), _u10112, _u10114) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10110, tc_HOL_Obool)), _u10115), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10110), _u10111), _u10112))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10113, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10110, tc_fun(_u10113, tc_HOL_Obool)), _u10115), _u10114)), _u10116)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10113, tc_HOL_Obool)), hAPP(_u10114, skolem171(_u10116, _u10115, _u10114, _u10113, _u10112, _u10111, _u10110))), _u10116)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10117), _u10118), _u10119)) | ~hBOOL(hAPP(hAPP(hAPP(_u10120, _u10118), _u10121), _u10122)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10117, tc_fun(_u10123, tc_fun(_u10124, tc_HOL_Obool))), _u10119), _u10120), _u10121), _u10122)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u10127) != hAPP(c_Int_ORep__Integ, _u10129)) | ( _u10127 = _u10129) )).
% 28.96/29.19 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u10128 != _u10130) | ( hAPP(c_Int_ORep__Integ, _u10128) = hAPP(c_Int_ORep__Integ, _u10130)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u10131)) = _u10131) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u10132) = 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, _u10132)), 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))))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u10133, _u10134, _u10135, _u10136, _u10137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10134), _u10138)) | ( hAPP(hAPP(_u10137, _u10139), _u10138) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10133, _u10134, _u10135), _u10139), _u10136), _u10138)) )).
% 28.96/29.19 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u10133, _u10134, _u10135, _u10136, _u10137) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10134), _u10138)) | ( hAPP(hAPP(_u10137, _u10139), _u10138) = _u10136) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10141) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10142), _u10143)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10142), _u10144)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10142, tc_HOL_Obool)), _u10143), _u10144)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10141), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), _u10143)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), _u10144))) | hBOOL(hAPP(hAPP(c_member(_u10142), skolem172(_u10145, _u10144, _u10143, _u10142, _u10141)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10142, tc_HOL_Obool)), _u10143), _u10144))) )).
% 28.96/29.19 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10141) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10142), _u10143)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10142), _u10144)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10142, tc_HOL_Obool)), _u10143), _u10144)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10141), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), _u10143)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), _u10144))) | ( hAPP(_u10145, skolem172(_u10145, _u10144, _u10143, _u10142, _u10141)) != c_Groups_Oone__class_Oone(_u10141)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u10146, _u10147) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10146, tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool)), _u10147), hAPP(hAPP(c_COMBC(_u10146, tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool), tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u10146, _u10146), tc_fun(tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool), tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool)), _u10146), c_Set_Oinsert(tc_prod(_u10146, _u10146))), hAPP(hAPP(c_COMBS(_u10146, _u10146, tc_prod(_u10146, _u10146)), c_Product__Type_OPair(_u10146, _u10146)), c_COMBI(_u10146)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u10148) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10148), _u10149), _u10150)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10148, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10148, _u10149, _u10150)), hAPP(hAPP(c_Set_Oinsert(_u10148), _u10150), c_Orderings_Obot__class_Obot(tc_fun(_u10148, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10148, _u10149, _u10150)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10151, _u10152))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10153, _u10154))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10164, tc_fun(_u10166, tc_fun(_u10168, tc_HOL_Obool))), _u10170), _u10172), _u10174), _u10176)) | hBOOL(hAPP(hAPP(c_member(_u10164), skolem173(_u10176, _u10174, _u10172, _u10170, _u10168, _u10166, _u10164)), _u10170)) )).
% 28.96/29.19 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10164, tc_fun(_u10166, tc_fun(_u10168, tc_HOL_Obool))), _u10170), _u10172), _u10174), _u10176)) | hBOOL(hAPP(hAPP(hAPP(_u10172, skolem173(_u10176, _u10174, _u10172, _u10170, _u10168, _u10166, _u10164)), _u10174), _u10176)) )).
% 28.96/29.19 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10165), _u10156), _u10171)) | ~hBOOL(hAPP(hAPP(hAPP(_u10173, _u10156), _u10175), _u10177)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10165, tc_fun(_u10167, tc_fun(_u10169, tc_HOL_Obool))), _u10171), _u10173), _u10175), _u10177)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u10178, _u10179) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10178, _u10178, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10178, tc_HOL_Obool, tc_fun(_u10178, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10178, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10178, tc_HOL_Obool)), _u10178), c_COMBC(_u10178, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10178, tc_HOL_Obool), tc_fun(_u10178, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10178), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10178), c_fconj)), c_fequal))), _u10179))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u10180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10180), _u10181), _u10182)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10180, _u10182, _u10181) = c_Orderings_Obot__class_Obot(tc_fun(_u10180, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10183) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10183, _u10184, _u10185) != c_Orderings_Obot__class_Obot(tc_fun(_u10183, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10183), _u10184), _u10185)) )).
% 28.96/29.19 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10183) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10183), _u10184), _u10185)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10183, _u10184, _u10185) = c_Orderings_Obot__class_Obot(tc_fun(_u10183, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10186) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10186, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10186, _u10187, _u10188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10186), _u10187), _u10188)) )).
% 28.96/29.19 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10186) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10186), _u10187), _u10188)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10186, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10186, _u10187, _u10188)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u10189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10189), _u10190), _u10191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10189), _u10191), _u10192)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10189, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10189, _u10190, _u10191)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10189, _u10191, _u10192)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10189, _u10190, _u10192)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u10193) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10193, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10193, _u10194, _u10195)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10193, _u10195, _u10196)) = c_Orderings_Obot__class_Obot(tc_fun(_u10193, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10197, _u10198)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10198), _u10197)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u10199, c_Orderings_Obot__class_Obot(tc_fun(_u10199, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10199, _u10199), tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u10200, _u10200, c_Relation_OId__on(_u10200, _u10201)), _u10202) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10200, tc_HOL_Obool)), _u10201), _u10202)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u10203) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10203, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10203, _u10204, _u10205)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10203, _u10206, _u10207)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10203, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10203), _u10204), _u10206), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10203), _u10205), _u10207))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u10208) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10208, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10208, _u10209, _u10210)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10208, _u10210, _u10211)) = c_Orderings_Obot__class_Obot(tc_fun(_u10208, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Id__on__eqI-1, axiom, ( ( _u10212 != _u10213) | ~hBOOL(hAPP(hAPP(c_member(_u10214), _u10212), _u10215)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10214, _u10214)), hAPP(hAPP(c_Product__Type_OPair(_u10214, _u10214), _u10212), _u10213)), c_Relation_OId__on(_u10214, _u10215))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10220, _u10220)), hAPP(hAPP(c_Product__Type_OPair(_u10220, _u10220), _u10222), _u10224)), c_Relation_OId__on(_u10220, _u10226))) | ( _u10222 = _u10224) )).
% 28.96/29.19 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10220, _u10220)), hAPP(hAPP(c_Product__Type_OPair(_u10220, _u10220), _u10222), _u10224)), c_Relation_OId__on(_u10220, _u10226))) | hBOOL(hAPP(hAPP(c_member(_u10220), _u10222), _u10226)) )).
% 28.96/29.19 cnf(fact_Id__on__iff-3, axiom, ( ( _u10223 != _u10225) | ~hBOOL(hAPP(hAPP(c_member(_u10221), _u10223), _u10227)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10221, _u10221)), hAPP(hAPP(c_Product__Type_OPair(_u10221, _u10221), _u10223), _u10225)), c_Relation_OId__on(_u10221, _u10227))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10228, _u10229)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10229), _u10228))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10231), _u10235)) | ( hAPP(hAPP(_u10234, _u10236), _u10235) = _u10233) | ~c_Big__Operators_Ocomm__monoid__big(_u10230, _u10231, _u10232, _u10233, _u10234) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u10237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10237), _u10238), _u10239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10237), _u10239), _u10240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10237, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10237, _u10238, _u10239)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10237, _u10239, _u10240)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10237, _u10238, _u10240)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10242, _u10242)), _u10243), c_Relation_OId__on(_u10242, _u10244))) | hBOOL(hAPP(hAPP(c_member(_u10242), skolem174(_u10244, _u10243, _u10242)), _u10244)) )).
% 28.96/29.19 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10242, _u10242)), _u10243), c_Relation_OId__on(_u10242, _u10244))) | ( _u10243 = hAPP(hAPP(c_Product__Type_OPair(_u10242, _u10242), skolem174(_u10244, _u10243, _u10242)), skolem174(_u10244, _u10243, _u10242))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10247) | ( hAPP(_u10248, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10247), skolem175(_u10249, _u10248, _u10247)), skolem176(_u10249, _u10248, _u10247))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10247), hAPP(_u10248, skolem175(_u10249, _u10248, _u10247))), hAPP(_u10248, skolem176(_u10249, _u10248, _u10247)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10247), _u10249)) | ( _u10249 = c_Orderings_Obot__class_Obot(tc_fun(_u10247, tc_HOL_Obool))) | ( hAPP(_u10248, c_Big__Operators_Olattice_OSup__fin(_u10247, c_Orderings_Oord__class_Omax(_u10247), _u10249)) = c_Big__Operators_Olattice_OSup__fin(_u10247, c_Orderings_Oord__class_Omax(_u10247), hAPP(c_Set_Oimage(_u10247, _u10247, _u10248), _u10249))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10252) | ( hAPP(_u10253, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10252), skolem177(_u10254, _u10253, _u10252)), skolem178(_u10254, _u10253, _u10252))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10252), hAPP(_u10253, skolem177(_u10254, _u10253, _u10252))), hAPP(_u10253, skolem178(_u10254, _u10253, _u10252)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10252), _u10254)) | ( _u10254 = c_Orderings_Obot__class_Obot(tc_fun(_u10252, tc_HOL_Obool))) | ( hAPP(_u10253, c_Big__Operators_Olattice_OInf__fin(_u10252, c_Orderings_Oord__class_Omin(_u10252), _u10254)) = c_Big__Operators_Olattice_OInf__fin(_u10252, c_Orderings_Oord__class_Omin(_u10252), hAPP(c_Set_Oimage(_u10252, _u10252, _u10253), _u10254))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10257) | ( hAPP(_u10258, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10257), skolem179(_u10259, _u10258, _u10257)), skolem180(_u10259, _u10258, _u10257))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10257), hAPP(_u10258, skolem179(_u10259, _u10258, _u10257))), hAPP(_u10258, skolem180(_u10259, _u10258, _u10257)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10257), _u10259)) | ( _u10259 = c_Orderings_Obot__class_Obot(tc_fun(_u10257, tc_HOL_Obool))) | ( hAPP(_u10258, c_Big__Operators_Olinorder__class_OMax(_u10257, _u10259)) = c_Big__Operators_Olinorder__class_OMax(_u10257, hAPP(c_Set_Oimage(_u10257, _u10257, _u10258), _u10259))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10262) | ( hAPP(_u10263, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10262), skolem181(_u10264, _u10263, _u10262)), skolem182(_u10264, _u10263, _u10262))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10262), hAPP(_u10263, skolem181(_u10264, _u10263, _u10262))), hAPP(_u10263, skolem182(_u10264, _u10263, _u10262)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10262), _u10264)) | ( _u10264 = c_Orderings_Obot__class_Obot(tc_fun(_u10262, tc_HOL_Obool))) | ( hAPP(_u10263, c_Big__Operators_Olinorder__class_OMin(_u10262, _u10264)) = c_Big__Operators_Olinorder__class_OMin(_u10262, hAPP(c_Set_Oimage(_u10262, _u10262, _u10263), _u10264))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u10267) | ( hAPP(_u10268, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10267), skolem183(_u10269, _u10268, _u10267)), skolem184(_u10269, _u10268, _u10267))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10267), hAPP(_u10268, skolem183(_u10269, _u10268, _u10267))), hAPP(_u10268, skolem184(_u10269, _u10268, _u10267)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10267), _u10269)) | ( _u10269 = c_Orderings_Obot__class_Obot(tc_fun(_u10267, tc_HOL_Obool))) | ( hAPP(_u10268, c_Big__Operators_Olattice__class_OInf__fin(_u10267, _u10269)) = c_Big__Operators_Olattice__class_OInf__fin(_u10267, hAPP(c_Set_Oimage(_u10267, _u10267, _u10268), _u10269))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u10272) | ( hAPP(_u10273, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10272), skolem185(_u10274, _u10273, _u10272)), skolem186(_u10274, _u10273, _u10272))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10272), hAPP(_u10273, skolem185(_u10274, _u10273, _u10272))), hAPP(_u10273, skolem186(_u10274, _u10273, _u10272)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10272), _u10274)) | ( _u10274 = c_Orderings_Obot__class_Obot(tc_fun(_u10272, tc_HOL_Obool))) | ( hAPP(_u10273, c_Big__Operators_Olattice__class_OSup__fin(_u10272, _u10274)) = c_Big__Operators_Olattice__class_OSup__fin(_u10272, hAPP(c_Set_Oimage(_u10272, _u10272, _u10273), _u10274))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10277, tc_HOL_Obool)), _u10279), _u10278)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10277, _u10276), _u10280), _u10278) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10277, _u10276), _u10280), _u10279)) | hBOOL(hAPP(hAPP(c_member(_u10277), skolem187(_u10280, _u10279, _u10278, _u10277, _u10276)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10277, tc_HOL_Obool)), _u10278), _u10279))) )).
% 28.96/29.19 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10277, tc_HOL_Obool)), _u10279), _u10278)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10277, _u10276), _u10280), _u10278) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10277, _u10276), _u10280), _u10279)) | ( hAPP(_u10280, skolem187(_u10280, _u10279, _u10278, _u10277, _u10276)) != c_Groups_Oone__class_Oone(_u10276)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10283, tc_HOL_Obool)), _u10285), _u10284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), _u10286), _u10285) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), _u10286), _u10284)) | hBOOL(hAPP(hAPP(c_member(_u10283), skolem188(_u10286, _u10285, _u10284, _u10283, _u10282)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10283, tc_HOL_Obool)), _u10284), _u10285))) )).
% 28.96/29.19 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10283, tc_HOL_Obool)), _u10285), _u10284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), _u10286), _u10285) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), _u10286), _u10284)) | ( hAPP(_u10286, skolem188(_u10286, _u10285, _u10284, _u10283, _u10282)) != c_Groups_Oone__class_Oone(_u10282)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10287), _u10288)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u10287, tc_HOL_Obool)), hAPP(c_Set_OPow(_u10287), _u10288)) = 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(_u10287), _u10288))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ~hBOOL(hAPP(_u10293, _u10292)) | hBOOL(hAPP(_u10293, c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), skolem190(_u10293, _u10292, _u10291))) )).
% 28.96/29.19 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ~hBOOL(hAPP(_u10293, _u10292)) | hBOOL(hAPP(_u10293, c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u10291), skolem189(_u10293, _u10292, _u10291)), skolem190(_u10293, _u10292, _u10291))) )).
% 28.96/29.19 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ~hBOOL(hAPP(_u10293, _u10292)) | hBOOL(hAPP(_u10293, c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))) | hBOOL(hAPP(_u10293, skolem190(_u10293, _u10292, _u10291))) )).
% 28.96/29.19 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ~hBOOL(hAPP(_u10293, _u10292)) | hBOOL(hAPP(_u10293, c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u10293, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10291, tc_HOL_Obool)), skolem190(_u10293, _u10292, _u10291)), hAPP(hAPP(c_Set_Oinsert(_u10291), skolem189(_u10293, _u10292, _u10291)), c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u10294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10294), _u10295), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10294), _u10296), _u10297)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10294, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10294, _u10295, _u10296)), c_SetInterval_Oord__class_OatLeastAtMost(_u10294, _u10296, _u10297)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10294, _u10295, _u10297)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10298, _u10299))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10300, _u10301))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_PowI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10302, tc_HOL_Obool)), _u10303), _u10304)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10302, tc_HOL_Obool)), _u10303), hAPP(c_Set_OPow(_u10302), _u10304))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u10305), hAPP(hAPP(c_Set_Oinsert(_u10305), _u10306), _u10307)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u10305, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10305), _u10307)), hAPP(c_Set_Oimage(tc_fun(_u10305, tc_HOL_Obool), tc_fun(_u10305, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u10305), _u10306)), hAPP(c_Set_OPow(_u10305), _u10307)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10310, tc_HOL_Obool)), hAPP(c_Set_OPow(_u10310), _u10312))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10310), _u10312)) )).
% 28.96/29.19 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10311), _u10313)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10311, tc_HOL_Obool)), hAPP(c_Set_OPow(_u10311), _u10313))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10314, _u10315) = 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), _u10314), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10315)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10316)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10317, _u10318)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10317), _u10316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10318), _u10316))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u10319, tc_HOL_Obool)), _u10320), hAPP(c_Set_OPow(_u10319), _u10320))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10321, tc_HOL_Obool)), _u10322), _u10323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10321, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10321), _u10322)), hAPP(c_Set_OPow(_u10321), _u10323))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u10324, _u10325, _u10326), _u10327) != _u10328) | ( hAPP(c_Set_Oimage(tc_fun(_u10324, tc_HOL_Obool), tc_fun(_u10325, tc_HOL_Obool), c_Set_Oimage(_u10324, _u10325, _u10326)), hAPP(c_Set_OPow(_u10324), _u10327)) = hAPP(c_Set_OPow(_u10325), _u10328)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10329, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u10329, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10329), _u10330)), hAPP(c_Set_OPow(_u10329), _u10331))), hAPP(c_Set_OPow(_u10329), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10329, tc_HOL_Obool)), _u10330), _u10331)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u10333, tc_fun(_u10333, tc_HOL_Obool), _u10332), _u10334) != hAPP(c_Set_OPow(_u10333), _u10334)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 28.96/29.19 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, _u10335, _u10336)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10335), hAPP(c_Nat_OSuc, _u10336))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u10337), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10337, tc_HOL_Obool)), _u10338), _u10339)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u10337, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10337), _u10338)), hAPP(c_Set_OPow(_u10337), _u10339))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u10340), _u10341) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10340, tc_HOL_Obool), tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10342) | ~c_Nat__Transfer_Ois__nat(_u10343) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10342, _u10343) = 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, _u10342), hAPP(c_Int_Onat, _u10343)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10344) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10344, _u10345)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10346) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10346, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u10346, _u10347, _u10348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10346), _u10347), _u10348)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10346) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10346), _u10347), _u10348)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10346, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10346, _u10347, _u10348)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10349) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10349, _u10350, _u10351) != c_Orderings_Obot__class_Obot(tc_fun(_u10349, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), _u10350), _u10351)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), _u10350), _u10351)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10349, _u10350, _u10351) = c_Orderings_Obot__class_Obot(tc_fun(_u10349, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u10352) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10352), _u10353), _u10354)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10352, _u10354, _u10353) = c_Orderings_Obot__class_Obot(tc_fun(_u10352, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u10355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10356, _u10357)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10358, _u10359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10356), _u10357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10358), _u10356)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u10355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10356, _u10357)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10358, _u10359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10356), _u10357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10357), _u10359)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u10355) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10356, _u10357)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10358, _u10359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10356), _u10357)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u10355) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10356, _u10357)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10358, _u10359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10358), _u10356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10357), _u10359)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u10360) | ( _u10361 != _u10362) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10360, _u10361, _u10362) = hAPP(hAPP(c_Set_Oinsert(_u10360), _u10361), c_Orderings_Obot__class_Obot(tc_fun(_u10360, tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u10363) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10363, _u10364, _u10365) != hAPP(hAPP(c_Set_Oinsert(_u10363), _u10366), c_Orderings_Obot__class_Obot(tc_fun(_u10363, tc_HOL_Obool)))) | ( _u10364 = _u10365) )).
% 28.96/29.19 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u10363) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10363, _u10364, _u10365) != hAPP(hAPP(c_Set_Oinsert(_u10363), _u10366), c_Orderings_Obot__class_Obot(tc_fun(_u10363, tc_HOL_Obool)))) | ( _u10365 = _u10366) )).
% 28.96/29.19 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u10363) | ( _u10364 != _u10365) | ( _u10365 != _u10366) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10363, _u10364, _u10365) = hAPP(hAPP(c_Set_Oinsert(_u10363), _u10366), c_Orderings_Obot__class_Obot(tc_fun(_u10363, tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u10367) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10367, _u10368, _u10368) = hAPP(hAPP(c_Set_Oinsert(_u10367), _u10368), c_Orderings_Obot__class_Obot(tc_fun(_u10367, tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10369) | ( hAPP(c_Set_Oimage(_u10369, _u10369, c_Groups_Ouminus__class_Ouminus(_u10369)), c_SetInterval_Oord__class_OatLeastAtMost(_u10369, _u10370, _u10371)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10369, hAPP(c_Groups_Ouminus__class_Ouminus(_u10369), _u10371), hAPP(c_Groups_Ouminus__class_Ouminus(_u10369), _u10370))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u10372, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u10372, tc_HOL_Obool))), hAPP(c_Set_OPow(_u10372), _u10373))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10374, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10375, _u10374, _u10376), _u10377)), _u10378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10374, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u10375, tc_HOL_Obool), tc_fun(_u10374, tc_HOL_Obool), c_Set_Oimage(_u10375, _u10374, _u10376)), hAPP(c_Set_OPow(_u10375), _u10377))), hAPP(c_Set_OPow(_u10374), _u10378))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10382, tc_HOL_Obool)), _u10384), hAPP(c_Set_OPow(_u10382), _u10386))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10382, tc_HOL_Obool)), _u10384), _u10386)) )).
% 28.96/29.19 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10383, tc_HOL_Obool)), _u10385), _u10387)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10383, tc_HOL_Obool)), _u10385), hAPP(c_Set_OPow(_u10383), _u10387))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_PowD ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10388, tc_HOL_Obool)), _u10389), hAPP(c_Set_OPow(_u10388), _u10390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10388, tc_HOL_Obool)), _u10389), _u10390)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10391), _u10392) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10391, _u10392)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10393)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10393, _u10394)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10395, _u10396)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10396)), _u10395)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10397), hAPP(c_Nat_OSuc, _u10398))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10397, hAPP(c_Nat_OSuc, _u10398)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10398)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10397, _u10398))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 28.96/29.19 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), _u10399), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10400) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10399, _u10400)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u10401) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10401, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10401, _u10402, _u10403)), c_SetInterval_Oord__class_OatLeastAtMost(_u10401, _u10404, _u10405)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10401, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10401), _u10402), _u10404), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10401), _u10403), _u10405))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u10406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10407), _u10408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10407)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u10406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10407), _u10408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10408), _u10410)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u10406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10407), _u10408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10406), _u10409), _u10407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10406), _u10408), _u10410)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u10406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10410)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u10406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10407), _u10408)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u10406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10408), _u10410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10406), _u10409), _u10407)) )).
% 28.96/29.19 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u10406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10408), _u10410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10406), _u10408), _u10410)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u10411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10411), _u10412), _u10413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10411), _u10413), _u10414)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10411, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10411, _u10412, _u10413)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10411, _u10413, _u10414)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10411, _u10412, _u10414)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10415, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10416, tc_fun(tc_fun(_u10415, tc_HOL_Obool), tc_HOL_Obool)), _u10417), hAPP(hAPP(c_COMBB(tc_fun(_u10415, tc_HOL_Obool), tc_fun(tc_fun(_u10415, tc_HOL_Obool), tc_HOL_Obool), _u10416), c_Set_OPow(_u10415)), _u10418))), hAPP(c_Set_OPow(_u10415), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10416, tc_fun(_u10415, tc_HOL_Obool)), _u10417), _u10418)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u10419) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10419, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10419, _u10420, _u10421)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10419, _u10421, _u10422)) = c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u10423) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10423, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10423, _u10424, _u10425)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10423, _u10425, _u10426)) = c_Orderings_Obot__class_Obot(tc_fun(_u10423, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u10427) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10427, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10427, _u10428, _u10429)), c_SetInterval_Oord__class_OatLeastAtMost(_u10427, _u10429, _u10430)) = c_Orderings_Obot__class_Obot(tc_fun(_u10427, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u10431), c_Orderings_Obot__class_Obot(tc_fun(_u10431, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u10431, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u10431, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10431, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10434), _u10436)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10436, _u10434) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10435), _u10437)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10437, _u10435) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u10437), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10437), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10435))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10438, _u10439)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10439), _u10438)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u10440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10440), _u10441), _u10442)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10440, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10440), _u10441), c_Orderings_Obot__class_Obot(tc_fun(_u10440, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10440, _u10441, _u10442)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10440, _u10441, _u10442)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u10446, hAPP(hAPP(c_COMBC(_u10446, tc_fun(_u10446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10446)), _u10448)), _u10450)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10446, tc_HOL_Obool)), _u10450), hAPP(c_Set_OPow(_u10446), _u10448))) )).
% 28.96/29.19 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10447, tc_HOL_Obool)), _u10451), hAPP(c_Set_OPow(_u10447), _u10449))) | hBOOL(hAPP(c_Predicate_OPowp(_u10447, hAPP(hAPP(c_COMBC(_u10447, tc_fun(_u10447, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10447)), _u10449)), _u10451)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10455)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10456), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), _u10454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10454), _u10455))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u10457, _u10456, _u10455, _u10454)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10455))) )).
% 28.96/29.19 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)), _u10455)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10456), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), _u10454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10454), _u10455))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u10457, _u10456, _u10455, _u10454)), _u10457)) )).
% 28.96/29.19 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)), _u10455)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10456), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), _u10454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10454), _u10455))) | ( _u10454 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem192(_u10457, _u10456, _u10455, _u10454)), skolem191(_u10457, _u10456, _u10455, _u10454))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10461)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10462), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10460), _u10462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10460), _u10461)), _u10462)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u10463, _u10462, _u10461, _u10460)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10461))) )).
% 28.96/29.19 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)), _u10461)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10462), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10460), _u10462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10460), _u10461)), _u10462)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u10463, _u10462, _u10461, _u10460)), _u10463)) )).
% 28.96/29.19 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)), _u10461)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10462), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10460), _u10462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10460), _u10461)), _u10462)) | ( _u10460 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem194(_u10463, _u10462, _u10461, _u10460)), skolem193(_u10463, _u10462, _u10461, _u10460))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10467)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10468), _u10469)) | ( _u10466 = _u10468) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10466), _u10467) != _u10468) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u10469, _u10468, _u10467, _u10466)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10467))) )).
% 28.96/29.19 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)), _u10467)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10468), _u10469)) | ( _u10466 = _u10468) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10466), _u10467) != _u10468) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u10469, _u10468, _u10467, _u10466)), _u10469)) )).
% 28.96/29.19 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)), _u10467)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10468), _u10469)) | ( _u10466 = _u10468) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10466), _u10467) != _u10468) | ( _u10466 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem196(_u10469, _u10468, _u10467, _u10466)), skolem195(_u10469, _u10468, _u10467, _u10466))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10470, tc_HOL_Obool)), _u10471), _u10472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10470, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u10470, _u10471)), c_Predicate_OPowp(_u10470, _u10472))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10473), _u10479)) | ~hBOOL(hAPP(_u10481, _u10473)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem197(_u10481, _u10479)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10479))) )).
% 28.96/29.19 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10473), _u10479)) | ~hBOOL(hAPP(_u10481, _u10473)) | hBOOL(hAPP(_u10481, skolem197(_u10481, _u10479))) )).
% 28.96/29.19 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10475), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10480))) | ~hBOOL(hAPP(_u10482, _u10475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem198(_u10482, _u10480)), _u10480)) )).
% 28.96/29.19 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10475), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10480))) | ~hBOOL(hAPP(_u10482, _u10475)) | hBOOL(hAPP(_u10482, skolem198(_u10482, _u10480))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10484), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10489))) | hBOOL(hAPP(_u10491, _u10484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem199(_u10491, _u10489)), _u10489)) )).
% 28.96/29.19 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10484), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10489))) | hBOOL(hAPP(_u10491, _u10484)) | ~hBOOL(hAPP(_u10491, skolem199(_u10491, _u10489))) )).
% 28.96/29.19 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10486), _u10490)) | hBOOL(hAPP(_u10492, _u10486)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem200(_u10492, _u10490)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10490))) )).
% 28.96/29.19 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10486), _u10490)) | hBOOL(hAPP(_u10492, _u10486)) | ~hBOOL(hAPP(_u10492, skolem200(_u10492, _u10490))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10495)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), _u10495) = _u10496) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem201(_u10497, _u10496, _u10495)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10495))) )).
% 28.96/29.19 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)), _u10495)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), _u10495) = _u10496) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem202(_u10497, _u10496, _u10495)), _u10497)) )).
% 28.96/29.19 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)), _u10495)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), _u10495) = _u10496) | ( _u10496 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem202(_u10497, _u10496, _u10495)), skolem201(_u10497, _u10496, _u10495))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10501)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10502), _u10503)) | ( _u10500 = _u10502) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10500), _u10501) != _u10502) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u10503, _u10502, _u10501, _u10500)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10501))) )).
% 28.96/29.19 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)), _u10501)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10502), _u10503)) | ( _u10500 = _u10502) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10500), _u10501) != _u10502) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem204(_u10503, _u10502, _u10501, _u10500)), _u10503)) )).
% 28.96/29.19 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)), _u10501)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10502), _u10503)) | ( _u10500 = _u10502) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10500), _u10501) != _u10502) | ( _u10500 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem204(_u10503, _u10502, _u10501, _u10500)), skolem203(_u10503, _u10502, _u10501, _u10500))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10507)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10508), _u10509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), _u10506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10506), _u10507))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem205(_u10509, _u10508, _u10507, _u10506)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10507))) )).
% 28.96/29.19 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)), _u10507)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10508), _u10509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), _u10506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10506), _u10507))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem206(_u10509, _u10508, _u10507, _u10506)), _u10509)) )).
% 28.96/29.19 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)), _u10507)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10508), _u10509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), _u10506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10506), _u10507))) | ( _u10506 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem206(_u10509, _u10508, _u10507, _u10506)), skolem205(_u10509, _u10508, _u10507, _u10506))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10513)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10514), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10512), _u10514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10512), _u10513)), _u10514)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem207(_u10515, _u10514, _u10513, _u10512)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10513))) )).
% 28.96/29.19 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)), _u10513)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10514), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10512), _u10514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10512), _u10513)), _u10514)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem208(_u10515, _u10514, _u10513, _u10512)), _u10515)) )).
% 28.96/29.19 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)), _u10513)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10514), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10512), _u10514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10512), _u10513)), _u10514)) | ( _u10512 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem208(_u10515, _u10514, _u10513, _u10512)), skolem207(_u10515, _u10514, _u10513, _u10512))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), _u10518) = _u10519) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem209(_u10520, _u10519, _u10518)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10518))) )).
% 28.96/29.19 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)), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), _u10518) = _u10519) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem210(_u10520, _u10519, _u10518)), _u10520)) )).
% 28.96/29.19 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)), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), _u10518) = _u10519) | ( _u10519 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem210(_u10520, _u10519, _u10518)), skolem209(_u10520, _u10519, _u10518))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10523), _u10526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10523), _u10524)), _u10526)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u10526, _u10525, _u10524, _u10523)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10524))) )).
% 28.96/29.19 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)), _u10524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10523), _u10526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10523), _u10524)), _u10526)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem212(_u10526, _u10525, _u10524, _u10523)), _u10525)) )).
% 28.96/29.19 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)), _u10524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10523), _u10526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10523), _u10524)), _u10526)) | ( _u10523 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem212(_u10526, _u10525, _u10524, _u10523)), skolem211(_u10526, _u10525, _u10524, _u10523))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), _u10529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10529), _u10530))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem213(_u10532, _u10531, _u10530, _u10529)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10530))) )).
% 28.96/29.19 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)), _u10530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), _u10529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10529), _u10530))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u10532, _u10531, _u10530, _u10529)), _u10531)) )).
% 28.96/29.19 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)), _u10530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), _u10529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10529), _u10530))) | ( _u10529 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem214(_u10532, _u10531, _u10530, _u10529)), skolem213(_u10532, _u10531, _u10530, _u10529))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10540, _u10539)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10540, _u10539)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(_u10540, skolem219(_u10540, _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(_u10540, skolem219(_u10540, _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10540, _u10539)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10540, _u10539)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(_u10540, skolem219(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(_u10540, skolem219(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10537), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, _u10537)) | hBOOL(hAPP(_u10540, skolem220(_u10540, _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10537), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, _u10537)) | hBOOL(hAPP(_u10540, skolem220(_u10540, _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10537), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, _u10537)) | hBOOL(hAPP(_u10540, skolem220(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 28.96/29.19 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)), _u10539)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10537), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, _u10537)) | hBOOL(hAPP(_u10540, skolem220(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10547), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10547), _u10548)), _u10550)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem221(_u10550, _u10549, _u10548, _u10547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10548))) )).
% 28.96/29.19 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)), _u10548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10547), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10547), _u10548)), _u10550)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem222(_u10550, _u10549, _u10548, _u10547)), _u10549)) )).
% 28.96/29.19 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)), _u10548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10547), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10547), _u10548)), _u10550)) | ( _u10547 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem222(_u10550, _u10549, _u10548, _u10547)), skolem221(_u10550, _u10549, _u10548, _u10547))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), _u10553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10553), _u10554))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem223(_u10556, _u10555, _u10554, _u10553)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10554))) )).
% 28.96/29.19 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)), _u10554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), _u10553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10553), _u10554))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem224(_u10556, _u10555, _u10554, _u10553)), _u10555)) )).
% 28.96/29.19 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)), _u10554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), _u10553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10553), _u10554))) | ( _u10553 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem224(_u10556, _u10555, _u10554, _u10553)), skolem223(_u10556, _u10555, _u10554, _u10553))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10560), _u10562)) | ( 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)), _u10560)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10564), _u10562)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10564), _u10560)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10562), _u10560))) )).
% 28.96/29.19 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10561), _u10563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10565), _u10563)) | ( 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)), _u10561)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10565), _u10563)) = 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)))) )).
% 28.96/29.19 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10561), _u10563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10565), _u10563)) | ( 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)), _u10561)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10565), _u10563)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10566) = 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), _u10566)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10567), _u10568)) | ~c_Fun_Oinj__on(_u10567, tc_fun(tc_fun(_u10567, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10567, tc_fun(tc_prod(_u10567, _u10567), tc_HOL_Obool), tc_fun(tc_fun(_u10567, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10567, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10567, _u10567), tc_HOL_Obool), tc_fun(tc_fun(_u10567, tc_HOL_Obool), tc_HOL_Obool)), _u10567), c_Equiv__Relations_Oquotient(_u10567)), hAPP(hAPP(c_COMBC(_u10567, tc_fun(_u10567, tc_HOL_Obool), tc_fun(_u10567, tc_HOL_Obool)), c_Set_Oinsert(_u10567)), c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool))))), _u10569), _u10568) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u10567, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10567), _u10568), _u10569)) = hAPP(c_Finite__Set_Ocard(_u10567), _u10568)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u10570, _u10571, _u10572, c_Orderings_Obot__class_Obot(tc_fun(_u10570, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10573) | c_Fun_Oinj__on(_u10573, _u10573, c_Groups_Ouminus__class_Ouminus(_u10573), _u10574) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10575), _u10576))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10577))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u10578, _u10579, _u10580, _u10581) | ~c_Fun_Oinj__on(_u10578, _u10579, _u10580, _u10582) | c_Fun_Oinj__on(_u10578, _u10579, _u10580, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10578, tc_HOL_Obool)), _u10581), _u10582)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u10583, _u10584, _u10585, _u10586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10583, tc_HOL_Obool)), _u10587), _u10586)) | c_Fun_Oinj__on(_u10583, _u10584, _u10585, _u10587) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u10588, _u10589, hAPP(c_Fun_Ocomp(_u10590, _u10589, _u10588, _u10591), _u10592), _u10593) | c_Fun_Oinj__on(_u10588, _u10590, _u10592, _u10593) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u10594, _u10595, _u10596, _u10597) | ( hAPP(_u10596, _u10598) != hAPP(_u10596, _u10599)) | ~hBOOL(hAPP(hAPP(c_member(_u10594), _u10598), _u10597)) | ~hBOOL(hAPP(hAPP(c_member(_u10594), _u10599), _u10597)) | ( _u10598 = _u10599) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u10600, _u10601, _u10602, _u10603) | ~hBOOL(hAPP(hAPP(c_member(_u10600), _u10604), _u10603)) | ~hBOOL(hAPP(hAPP(c_member(_u10600), _u10605), _u10603)) | ( hAPP(_u10602, _u10604) != hAPP(_u10602, _u10605)) | ( _u10604 = _u10605) )).
% 28.96/29.19 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u10600, _u10601, _u10602, _u10603) | ~hBOOL(hAPP(hAPP(c_member(_u10600), _u10604), _u10603)) | ~hBOOL(hAPP(hAPP(c_member(_u10600), _u10605), _u10603)) | ( _u10604 != _u10605) | ( hAPP(_u10602, _u10604) = hAPP(_u10602, _u10605)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u10606, _u10607, _u10608, _u10609) | ( _u10610 = _u10611) | ~hBOOL(hAPP(hAPP(c_member(_u10606), _u10610), _u10609)) | ~hBOOL(hAPP(hAPP(c_member(_u10606), _u10611), _u10609)) | ( hAPP(_u10608, _u10610) != hAPP(_u10608, _u10611)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u10612, _u10612, c_COMBI(_u10612), _u10613) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u10622, _u10624, _u10626, _u10628) | ~hBOOL(hAPP(hAPP(c_member(_u10622), _u10615), _u10628)) | ~hBOOL(hAPP(hAPP(c_member(_u10622), _u10614), _u10628)) | ( hAPP(_u10626, _u10615) != hAPP(_u10626, _u10614)) | ( _u10615 = _u10614) )).
% 28.96/29.19 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u10623, _u10625, _u10627, _u10629) | hBOOL(hAPP(hAPP(c_member(_u10623), skolem225(_u10629, _u10627, _u10625, _u10623)), _u10629)) )).
% 28.96/29.19 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u10623, _u10625, _u10627, _u10629) | hBOOL(hAPP(hAPP(c_member(_u10623), skolem226(_u10629, _u10627, _u10625, _u10623)), _u10629)) )).
% 28.96/29.19 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u10623, _u10625, _u10627, _u10629) | ( hAPP(_u10627, skolem225(_u10629, _u10627, _u10625, _u10623)) = hAPP(_u10627, skolem226(_u10629, _u10627, _u10625, _u10623))) )).
% 28.96/29.19 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u10623, _u10625, _u10627, _u10629) | ( skolem225(_u10629, _u10627, _u10625, _u10623) != skolem226(_u10629, _u10627, _u10625, _u10623)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u10630, _u10631, _u10632, _u10633) | c_Fun_Oinj__on(_u10630, _u10631, _u10632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10630, tc_HOL_Obool)), _u10633), _u10634)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10635) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10635), _u10636) != hAPP(c_SetInterval_Oord__class_OatMost(_u10635), _u10637)) | ( _u10636 = _u10637) )).
% 28.96/29.19 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10635) | ( _u10636 != _u10637) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10635), _u10636) = hAPP(c_SetInterval_Oord__class_OatMost(_u10635), _u10637)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), _u10640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10641), _u10642)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10639), _u10640) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10641), _u10642)) | ( _u10639 = _u10641) )).
% 28.96/29.19 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), _u10640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10641), _u10642)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10639), _u10640) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10641), _u10642)) | ( _u10640 = _u10642) )).
% 28.96/29.19 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), _u10640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10641), _u10642)) | ( _u10639 != _u10641) | ( _u10640 != _u10642) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10639), _u10640) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10641), _u10642)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u10643) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10643, _u10644), _u10645) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10643, _u10646), _u10647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10646), _u10647)) | ( _u10644 = _u10646) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u10648) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10648, _u10649), _u10650) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10648, _u10651), _u10652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10648), _u10649), _u10650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10648), _u10651), _u10652)) | ( _u10650 = _u10652) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10653), hAPP(c_Set_Oimage(_u10654, _u10653, _u10655), _u10656))) | ~c_Fun_Oinj__on(_u10654, _u10653, _u10655, _u10656) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10654), _u10656)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u10657, _u10658, _u10659, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10657, tc_HOL_Obool)), _u10660), _u10661)) | ( hAPP(c_Set_Oimage(_u10657, _u10658, _u10659), _u10660) != hAPP(c_Set_Oimage(_u10657, _u10658, _u10659), _u10661)) | ( _u10660 = _u10661) )).
% 28.96/29.19 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u10657, _u10658, _u10659, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10657, tc_HOL_Obool)), _u10660), _u10661)) | ( _u10660 != _u10661) | ( hAPP(c_Set_Oimage(_u10657, _u10658, _u10659), _u10660) = hAPP(c_Set_Oimage(_u10657, _u10658, _u10659), _u10661)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u10662, _u10663, _u10664, _u10665) | ~c_Fun_Oinj__on(_u10663, _u10666, _u10667, hAPP(c_Set_Oimage(_u10662, _u10663, _u10664), _u10665)) | c_Fun_Oinj__on(_u10662, _u10666, hAPP(c_Fun_Ocomp(_u10663, _u10666, _u10662, _u10667), _u10664), _u10665) )).
% 28.96/29.19 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u10662, _u10663, _u10664, _u10665) | ~c_Fun_Oinj__on(_u10662, _u10666, hAPP(c_Fun_Ocomp(_u10663, _u10666, _u10662, _u10667), _u10664), _u10665) | c_Fun_Oinj__on(_u10663, _u10666, _u10667, hAPP(c_Set_Oimage(_u10662, _u10663, _u10664), _u10665)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u10668, _u10669, _u10670, _u10671) | ~c_Fun_Oinj__on(_u10669, _u10672, _u10673, hAPP(c_Set_Oimage(_u10668, _u10669, _u10670), _u10671)) | c_Fun_Oinj__on(_u10668, _u10672, hAPP(c_Fun_Ocomp(_u10669, _u10672, _u10668, _u10673), _u10670), _u10671) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u10674, _u10675, hAPP(c_Fun_Ocomp(_u10676, _u10675, _u10674, _u10677), _u10678), _u10679) | c_Fun_Oinj__on(_u10676, _u10675, _u10677, hAPP(c_Set_Oimage(_u10674, _u10676, _u10678), _u10679)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__image ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u10680, _u10681, _u10682, _u10683) | ( hAPP(c_Finite__Set_Ocard(_u10681), hAPP(c_Set_Oimage(_u10680, _u10681, _u10682), _u10683)) = hAPP(c_Finite__Set_Ocard(_u10680), _u10683)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10684), _u10690)) | ~hBOOL(hAPP(_u10692, _u10684)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem227(_u10692, _u10690)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10690))) )).
% 28.96/29.19 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10684), _u10690)) | ~hBOOL(hAPP(_u10692, _u10684)) | hBOOL(hAPP(_u10692, skolem227(_u10692, _u10690))) )).
% 28.96/29.19 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10686), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10691))) | ~hBOOL(hAPP(_u10693, _u10686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem228(_u10693, _u10691)), _u10691)) )).
% 28.96/29.19 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10686), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10691))) | ~hBOOL(hAPP(_u10693, _u10686)) | hBOOL(hAPP(_u10693, skolem228(_u10693, _u10691))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10695), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10700))) | hBOOL(hAPP(_u10702, _u10695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem229(_u10702, _u10700)), _u10700)) )).
% 28.96/29.19 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10695), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10700))) | hBOOL(hAPP(_u10702, _u10695)) | ~hBOOL(hAPP(_u10702, skolem229(_u10702, _u10700))) )).
% 28.96/29.19 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10697), _u10701)) | hBOOL(hAPP(_u10703, _u10697)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem230(_u10703, _u10701)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10701))) )).
% 28.96/29.19 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10697), _u10701)) | hBOOL(hAPP(_u10703, _u10697)) | ~hBOOL(hAPP(_u10703, skolem230(_u10703, _u10701))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u10704, _u10705, _u10706, _u10707) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10704, tc_HOL_Obool)), _u10708), _u10707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10705, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10704, _u10705, _u10706), _u10708)), hAPP(c_Set_Oimage(_u10704, _u10705, _u10706), _u10707))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10709), hAPP(c_Nat_OSuc, _u10710)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10709, _u10710)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10711), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10712), _u10713)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10713), _u10712)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 28.96/29.19 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, _u10714), _u10715)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10714)), hAPP(c_Nat_OSuc, _u10715))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u10716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10716), _u10717), _u10718)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10716, _u10718), _u10717) = c_Orderings_Obot__class_Obot(tc_fun(_u10716, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10719) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10719, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10719, _u10720), _u10721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10719), _u10720), _u10721)) )).
% 28.96/29.19 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10719) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10719), _u10720), _u10721)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10719, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10719, _u10720), _u10721)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10722) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10722, _u10723), _u10724) != c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10722), _u10723), _u10724)) )).
% 28.96/29.19 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10722), _u10723), _u10724)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10722, _u10723), _u10724) = c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10725, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10725, _u10726), _u10727)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10725, _u10728), _u10729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10725), _u10727), _u10726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10725), _u10728), _u10726)) )).
% 28.96/29.19 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10725, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10725, _u10726), _u10727)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10725, _u10728), _u10729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10725), _u10727), _u10726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10725), _u10727), _u10729)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u10730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10730), _u10731), _u10732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10730), _u10732), _u10733)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10730, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10730, _u10731), _u10732)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10730, _u10732), _u10733)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10730, _u10731), _u10733)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u10734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10734), _u10735), _u10736)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10734, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10734, _u10735), _u10737)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10734, _u10735), _u10736)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10734, _u10736), _u10737)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u10738) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10738, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10738, _u10739), _u10740)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10738, _u10740), _u10741)) = c_Orderings_Obot__class_Obot(tc_fun(_u10738, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10742)), _u10743) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10742, _u10743)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10744), _u10745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10744, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10744, _u10744, _u10746), _u10745)), _u10745)) | ~c_Fun_Oinj__on(_u10744, _u10744, _u10746, _u10745) | ( hAPP(c_Set_Oimage(_u10744, _u10744, _u10746), _u10745) = _u10745) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10747), _u10748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10747, tc_HOL_Obool)), _u10748), hAPP(c_Set_Oimage(_u10747, _u10747, _u10749), _u10748))) | c_Fun_Oinj__on(_u10747, _u10747, _u10749, _u10748) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10750) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10750)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10751)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10752), _u10753)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10752), _u10751)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10753), _u10751))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u10754, _u10755, _u10756, _u10757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10754, tc_HOL_Obool)), _u10758), _u10757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10754, tc_HOL_Obool)), _u10759), _u10757)) | ( hAPP(c_Set_Oimage(_u10754, _u10755, _u10756), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10754, tc_HOL_Obool)), _u10758), _u10759)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10755, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10754, _u10755, _u10756), _u10758)), hAPP(c_Set_Oimage(_u10754, _u10755, _u10756), _u10759))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10760), _u10761)) | ~c_Fun_Oinj__on(_u10760, _u10762, _u10763, _u10761) | ( hAPP(c_Finite__Set_Ocard(_u10762), hAPP(c_Set_Oimage(_u10760, _u10762, _u10763), _u10761)) = hAPP(c_Finite__Set_Ocard(_u10760), _u10761)) )).
% 28.96/29.19 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10760), _u10761)) | ( hAPP(c_Finite__Set_Ocard(_u10762), hAPP(c_Set_Oimage(_u10760, _u10762, _u10763), _u10761)) != hAPP(c_Finite__Set_Ocard(_u10760), _u10761)) | c_Fun_Oinj__on(_u10760, _u10762, _u10763, _u10761) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10764), _u10765)) | ( hAPP(c_Finite__Set_Ocard(_u10766), hAPP(c_Set_Oimage(_u10764, _u10766, _u10767), _u10765)) != hAPP(c_Finite__Set_Ocard(_u10764), _u10765)) | c_Fun_Oinj__on(_u10764, _u10766, _u10767, _u10765) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u10768, _u10769, _u10770, _u10771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10768, tc_HOL_Obool)), _u10772), _u10771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10768, tc_HOL_Obool)), _u10773), _u10771)) | ( hAPP(c_Set_Oimage(_u10768, _u10769, _u10770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10768, tc_HOL_Obool)), _u10772), _u10773)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10769, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10768, _u10769, _u10770), _u10772)), hAPP(c_Set_Oimage(_u10768, _u10769, _u10770), _u10773))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10774), hAPP(c_Set_Oimage(_u10775, _u10774, _u10776), _u10777))), hAPP(c_Finite__Set_Ocard(_u10775), _u10777))) | ~c_Fun_Oinj__on(_u10775, _u10774, _u10776, _u10777) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u10778, _u10779, _u10780, _u10781) | hBOOL(hAPP(hAPP(c_member(_u10779), _u10782), hAPP(c_Set_Oimage(_u10778, _u10779, _u10780), _u10781))) | c_Fun_Oinj__on(_u10778, _u10779, c_Fun_Ofun__upd(_u10778, _u10779, _u10780, _u10783, _u10782), _u10781) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10784) | ~c_Fun_Oinj__on(_u10785, _u10786, _u10787, _u10788) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10786, _u10784), _u10789), hAPP(c_Set_Oimage(_u10785, _u10786, _u10787), _u10788)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10785, _u10784), hAPP(c_Fun_Ocomp(_u10786, _u10784, _u10785, _u10789), _u10787)), _u10788)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10790) | ~c_Fun_Oinj__on(_u10791, _u10792, _u10793, _u10794) | ( _u10795 != hAPP(c_Set_Oimage(_u10791, _u10792, _u10793), _u10794)) | ( _u10796 != hAPP(c_Fun_Ocomp(_u10792, _u10790, _u10791, _u10797), _u10793)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10792, _u10790), _u10797), _u10795) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10791, _u10790), _u10796), _u10794)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10798)) = hAPP(c_Nat_OSuc, _u10798)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10799)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10799)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10799))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u10800) | ~hBOOL(hAPP(hAPP(c_member(_u10800), _u10801), hAPP(c_SetInterval_Oord__class_OatMost(_u10800), _u10802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10800), _u10801), _u10802)) )).
% 28.96/29.19 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u10800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10800), _u10801), _u10802)) | hBOOL(hAPP(hAPP(c_member(_u10800), _u10801), hAPP(c_SetInterval_Oord__class_OatMost(_u10800), _u10802))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u10803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10803, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10803), _u10804)), hAPP(c_SetInterval_Oord__class_OatMost(_u10803), _u10805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10803), _u10804), _u10805)) )).
% 28.96/29.19 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u10803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10803), _u10804), _u10805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10803, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10803), _u10804)), hAPP(c_SetInterval_Oord__class_OatMost(_u10803), _u10805))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10806, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10807)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10806, tc_HOL_Obool), tc_Nat_Onat), _u10808), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10809))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10806, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10809, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10807), _u10809))), _u10808)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10810), hAPP(c_Nat_OSuc, _u10810)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10810), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u10811, _u10812, _u10813, _u10814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10812, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10811, _u10812, _u10813), _u10814)), _u10815)) | ~c_Fun_Oinj__on(_u10812, _u10811, _u10816, _u10815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10811, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10812, _u10811, _u10816), _u10815)), _u10814)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10811), _u10814)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10812), _u10815)) | ( hAPP(c_Finite__Set_Ocard(_u10811), _u10814) = hAPP(c_Finite__Set_Ocard(_u10812), _u10815)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u10817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10817), _u10818), _u10819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10817), _u10819), _u10820)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10817, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10817, _u10818), _u10819)), c_SetInterval_Oord__class_OatLeastAtMost(_u10817, _u10819, _u10820)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10817, _u10818, _u10820)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10821) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10822), _u10823)) | ~c_Fun_Oinj__on(_u10822, _u10822, _u10824, _u10823) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10822, _u10821), _u10825), hAPP(c_Set_Oimage(_u10822, _u10822, _u10824), _u10823)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10822, _u10821), hAPP(c_Fun_Ocomp(_u10822, _u10821, _u10822, _u10825), _u10824)), _u10823)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10826), _u10827)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10826), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10827), _u10828)) = 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, _u10826), _u10827)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10827), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10827), _u10828)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u10829) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10829, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10829, _u10830), _u10831)), c_SetInterval_Oord__class_OatLeastAtMost(_u10829, _u10831, _u10832)) = c_Orderings_Obot__class_Obot(tc_fun(_u10829, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u10833) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10833, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10833, _u10834), _u10835)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10833, _u10836), _u10837)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10833, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10833), _u10834), _u10836)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10833), _u10835), _u10837))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10838), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10839), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10839), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10838))))) | ( _u10838 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10839), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10839), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10838)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u10840) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10840, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10840, _u10841, _u10842)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10840, _u10842), _u10843)) = c_Orderings_Obot__class_Obot(tc_fun(_u10840, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10844) | ( hAPP(c_Set_Oimage(_u10844, _u10844, c_Groups_Ouminus__class_Ouminus(_u10844)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10844, _u10845), _u10846)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10844, hAPP(c_Groups_Ouminus__class_Ouminus(_u10844), _u10846), hAPP(c_Groups_Ouminus__class_Ouminus(_u10844), _u10845))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10847) | ( hAPP(c_Set_Oimage(_u10847, _u10847, c_Groups_Ouminus__class_Ouminus(_u10847)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10847, _u10848, _u10849)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10847, hAPP(c_Groups_Ouminus__class_Ouminus(_u10847), _u10849)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10847), _u10848))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10852), _u10854)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10852), hAPP(c_Nat_OSuc, _u10854)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10854), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10852), _u10854))) )).
% 28.96/29.19 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10853), _u10855)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10853), hAPP(c_Nat_OSuc, _u10855)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 28.96/29.19 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)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u10861, _u10863, _u10865, hAPP(hAPP(c_Set_Oinsert(_u10861), _u10867), _u10869)) | c_Fun_Oinj__on(_u10861, _u10863, _u10865, _u10869) )).
% 28.96/29.19 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u10861, _u10863, _u10865, hAPP(hAPP(c_Set_Oinsert(_u10861), _u10867), _u10869)) | ~hBOOL(hAPP(hAPP(c_member(_u10863), hAPP(_u10865, _u10867)), hAPP(c_Set_Oimage(_u10861, _u10863, _u10865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10861, tc_HOL_Obool)), _u10869), hAPP(hAPP(c_Set_Oinsert(_u10861), _u10867), c_Orderings_Obot__class_Obot(tc_fun(_u10861, tc_HOL_Obool))))))) )).
% 28.96/29.19 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u10862, _u10864, _u10866, _u10870) | hBOOL(hAPP(hAPP(c_member(_u10864), hAPP(_u10866, _u10868)), hAPP(c_Set_Oimage(_u10862, _u10864, _u10866), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10862, tc_HOL_Obool)), _u10870), hAPP(hAPP(c_Set_Oinsert(_u10862), _u10868), c_Orderings_Obot__class_Obot(tc_fun(_u10862, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u10862, _u10864, _u10866, hAPP(hAPP(c_Set_Oinsert(_u10862), _u10868), _u10870)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u10876, _u10878, _u10880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10876, tc_HOL_Obool)), _u10882), _u10884)) | c_Fun_Oinj__on(_u10876, _u10878, _u10880, _u10882) )).
% 28.96/29.19 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u10876, _u10878, _u10880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10876, tc_HOL_Obool)), _u10882), _u10884)) | c_Fun_Oinj__on(_u10876, _u10878, _u10880, _u10884) )).
% 28.96/29.19 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u10876, _u10878, _u10880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10876, tc_HOL_Obool)), _u10882), _u10884)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10878, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10876, _u10878, _u10880), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10876, tc_HOL_Obool)), _u10882), _u10884))), hAPP(c_Set_Oimage(_u10876, _u10878, _u10880), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10876, tc_HOL_Obool)), _u10884), _u10882))) = c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool))) )).
% 28.96/29.19 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u10877, _u10879, _u10881, _u10883) | ~c_Fun_Oinj__on(_u10877, _u10879, _u10881, _u10885) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10879, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10877, _u10879, _u10881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10877, tc_HOL_Obool)), _u10883), _u10885))), hAPP(c_Set_Oimage(_u10877, _u10879, _u10881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10877, tc_HOL_Obool)), _u10885), _u10883))) != c_Orderings_Obot__class_Obot(tc_fun(_u10879, tc_HOL_Obool))) | c_Fun_Oinj__on(_u10877, _u10879, _u10881, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10877, tc_HOL_Obool)), _u10883), _u10885)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10888), _u10889)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10890), _u10891)) | ~c_Fun_Oinj__on(_u10888, _u10890, _u10886, _u10889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10890, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10888, _u10890, _u10886), _u10889)), _u10891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10888), _u10889)), hAPP(c_Finite__Set_Ocard(_u10890), _u10891))) )).
% 28.96/29.19 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10888), _u10889)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10890), _u10891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10888), _u10889)), hAPP(c_Finite__Set_Ocard(_u10890), _u10891))) | c_Fun_Oinj__on(_u10888, _u10890, skolem231(_u10891, _u10890, _u10889, _u10888), _u10889) )).
% 28.96/29.19 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10888), _u10889)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10890), _u10891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10888), _u10889)), hAPP(c_Finite__Set_Ocard(_u10890), _u10891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10890, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10888, _u10890, skolem231(_u10891, _u10890, _u10889, _u10888)), _u10889)), _u10891)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u10892, _u10893, _u10894, _u10895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10893, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10892, _u10893, _u10894), _u10895)), _u10896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10893), _u10896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10892), _u10895)), hAPP(c_Finite__Set_Ocard(_u10893), _u10896))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u10897) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10897, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10897, _u10898, _u10899)), hAPP(c_SetInterval_Oord__class_OatMost(_u10897), _u10900)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10897, _u10898, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10897), _u10899), _u10900))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u10901) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10901, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10901), _u10902)), c_SetInterval_Oord__class_OatLeastAtMost(_u10901, _u10903, _u10904)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10901, _u10903, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10901), _u10902), _u10904))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u10905) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10906), _u10907)) | ~c_Fun_Oinj__on(_u10906, _u10908, _u10909, _u10907) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10905, _u10908, c_Groups_Otimes__class_Otimes(_u10905)), _u10910), _u10911), hAPP(c_Set_Oimage(_u10906, _u10908, _u10909), _u10907)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10905, _u10906, c_Groups_Otimes__class_Otimes(_u10905)), hAPP(c_Fun_Ocomp(_u10908, _u10905, _u10906, _u10910), _u10909)), _u10911), _u10907)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u10912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10912), _u10913), _u10914)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10912, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10912), _u10913)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10912, _u10913, _u10914)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10912), _u10914)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u10915) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10915, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10915), _u10916)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10915, _u10916, _u10917)) = c_Orderings_Obot__class_Obot(tc_fun(_u10915, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u10918) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10918, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10918), _u10919)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10918, _u10919, _u10920)) = c_Orderings_Obot__class_Obot(tc_fun(_u10918, tc_HOL_Obool))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u10921) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10921), _u10922), _u10923)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10921), _u10923), _u10924)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10921, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10921, _u10922, _u10923)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10921, _u10923), _u10924)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10921, _u10922, _u10924)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u10925, tc_fun(tc_fun(_u10925, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10925, tc_fun(tc_prod(_u10925, _u10925), tc_HOL_Obool), tc_fun(tc_fun(_u10925, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10925, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10925, _u10925), tc_HOL_Obool), tc_fun(tc_fun(_u10925, tc_HOL_Obool), tc_HOL_Obool)), _u10925), c_Equiv__Relations_Oquotient(_u10925)), hAPP(hAPP(c_COMBC(_u10925, tc_fun(_u10925, tc_HOL_Obool), tc_fun(_u10925, tc_HOL_Obool)), c_Set_Oinsert(_u10925)), c_Orderings_Obot__class_Obot(tc_fun(_u10925, tc_HOL_Obool))))), _u10926), _u10927) | ~hBOOL(hAPP(hAPP(c_member(_u10925), _u10928), _u10927)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10925), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10925, tc_HOL_Obool)), _u10927), hAPP(hAPP(c_Set_Oinsert(_u10925), _u10928), c_Orderings_Obot__class_Obot(tc_fun(_u10925, tc_HOL_Obool))))), _u10926) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u10925, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10925), _u10927), _u10926)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10925), hAPP(hAPP(c_Set_Oinsert(_u10925), _u10928), c_Orderings_Obot__class_Obot(tc_fun(_u10925, tc_HOL_Obool)))), _u10926))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10929, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10930)), _u10931) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10929, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10929, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10930)), _u10931)), hAPP(_u10931, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u10932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10932), _u10933), _u10934)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10932, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10932, _u10933), _u10934)), hAPP(hAPP(c_Set_Oinsert(_u10932), _u10934), c_Orderings_Obot__class_Obot(tc_fun(_u10932, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u10932, _u10933, _u10934)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u10935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10935), _u10936), _u10937)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10935, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10935), _u10936), c_Orderings_Obot__class_Obot(tc_fun(_u10935, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10935, _u10936, _u10937)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10935, _u10936), _u10937)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u10938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10938), _u10939), _u10940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10938), _u10940), _u10941)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10938, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10938, _u10939, _u10940)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10938, _u10940, _u10941)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10938, _u10939), _u10941)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u10946 = c_Orderings_Obot__class_Obot(tc_fun(_u10947, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u10947, _u10948, _u10942, _u10946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10948, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10947, _u10948, _u10942), _u10946)), _u10949)) | ( hAPP(c_Set_Oimage(_u10948, _u10947, skolem232(_u10949, _u10948, _u10947, _u10946)), _u10949) = _u10946) )).
% 28.96/29.19 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u10946 = c_Orderings_Obot__class_Obot(tc_fun(_u10947, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10948, _u10947, _u10944), _u10949) != _u10946) | c_Fun_Oinj__on(_u10947, _u10948, skolem233(_u10949, _u10948, _u10947, _u10946), _u10946) )).
% 28.96/29.19 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u10946 = c_Orderings_Obot__class_Obot(tc_fun(_u10947, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10948, _u10947, _u10944), _u10949) != _u10946) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10948, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10947, _u10948, skolem233(_u10949, _u10948, _u10947, _u10946)), _u10946)), _u10949)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u10950, _u10951, _u10952, _u10953, _u10954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10951), _u10955)) | ~c_Fun_Oinj__on(_u10951, _u10951, _u10956, _u10955) | ( hAPP(hAPP(_u10954, _u10957), hAPP(c_Set_Oimage(_u10951, _u10951, _u10956), _u10955)) = hAPP(hAPP(_u10954, hAPP(c_Fun_Ocomp(_u10951, _u10950, _u10951, _u10957), _u10956)), _u10955)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u10958, _u10959, _u10960, hAPP(c_Set_Oimage(_u10961, _u10958, _u10962), _u10963)) | ~c_Fun_Oinj__on(_u10961, _u10958, _u10962, _u10963) | ~hBOOL(hAPP(hAPP(c_member(_u10959), _u10964), hAPP(c_Set_Oimage(_u10958, _u10959, _u10960), hAPP(c_Set_Oimage(_u10961, _u10958, _u10962), _u10963)))) | ( hAPP(c_Fun_Othe__inv__into(_u10961, _u10959, _u10963, hAPP(c_Fun_Ocomp(_u10958, _u10959, _u10961, _u10960), _u10962)), _u10964) = hAPP(hAPP(c_Fun_Ocomp(_u10958, _u10961, _u10959, c_Fun_Othe__inv__into(_u10961, _u10958, _u10963, _u10962)), c_Fun_Othe__inv__into(_u10958, _u10959, hAPP(c_Set_Oimage(_u10961, _u10958, _u10962), _u10963), _u10960)), _u10964)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 28.96/29.19 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, _u10965), _u10966))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u10967) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10968), _u10969) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u10970, _u10971), tc_prod(_u10971, _u10970), hAPP(c_Product__Type_Oprod_Oprod__case(_u10970, _u10971, tc_prod(_u10971, _u10970)), hAPP(c_COMBC(_u10971, _u10970, tc_prod(_u10971, _u10970)), c_Product__Type_OPair(_u10971, _u10970))), _u10972) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u10973))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u10974, _u10975, _u10976, _u10977, _u10978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10975), _u10979)) | ( hAPP(hAPP(_u10978, hAPP(hAPP(c_COMBS(_u10975, _u10974, _u10974), hAPP(hAPP(c_COMBB(_u10974, tc_fun(_u10974, _u10974), _u10975), _u10976), _u10980)), _u10981)), _u10979) = hAPP(hAPP(_u10976, hAPP(hAPP(_u10978, _u10980), _u10979)), hAPP(hAPP(_u10978, _u10981), _u10979))) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u10982, _u10983, _u10984, _u10985) | ~hBOOL(hAPP(hAPP(c_member(_u10982), _u10986), _u10985)) | ( hAPP(c_Fun_Othe__inv__into(_u10982, _u10983, _u10985, _u10984), hAPP(_u10984, _u10986)) = _u10986) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u10987, _u10988, _u10989, _u10990) | ( hAPP(_u10989, _u10991) != _u10992) | ~hBOOL(hAPP(hAPP(c_member(_u10987), _u10991), _u10990)) | ( hAPP(c_Fun_Othe__inv__into(_u10987, _u10988, _u10990, _u10989), _u10992) = _u10991) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u10993, _u10994, _u10995, _u10996) | c_Fun_Oinj__on(_u10994, _u10993, c_Fun_Othe__inv__into(_u10993, _u10994, _u10996, _u10995), hAPP(c_Set_Oimage(_u10993, _u10994, _u10995), _u10996)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u10997, _u10998, _u10999, _u11000) | ( hAPP(c_Set_Oimage(_u10998, _u10997, c_Fun_Othe__inv__into(_u10997, _u10998, _u11000, _u10999)), hAPP(c_Set_Oimage(_u10997, _u10998, _u10999), _u11000)) = _u11000) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 28.96/29.19 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11001), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11002), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11001, _u11002)) )).
% 28.96/29.19
% 28.96/29.19 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 28.96/29.19 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)), _u11003)), 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), _u11004), _u11003))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11003), _u11004)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 28.96/29.20 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)), _u11005)) = hAPP(c_Int_Onat, _u11005)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11006), _u11007)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11007), _u11006))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 28.96/29.20 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), _u11008), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11009) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u11008, _u11009)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u11010, _u11011, _u11012, _u11013, _u11014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11011), _u11015)) | ( hAPP(hAPP(_u11014, _u11016), _u11015) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11010, _u11011, _u11012), _u11016), _u11013), _u11015)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u11017, _u11018, _u11019, _u11020) | ~hBOOL(hAPP(hAPP(c_member(_u11018), _u11021), hAPP(c_Set_Oimage(_u11017, _u11018, _u11019), _u11020))) | ( hAPP(_u11019, hAPP(c_Fun_Othe__inv__into(_u11017, _u11018, _u11020, _u11019), _u11021)) = _u11021) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u11022, _u11023, _u11024, _u11025) | ~hBOOL(hAPP(hAPP(c_member(_u11023), _u11026), hAPP(c_Set_Oimage(_u11022, _u11023, _u11024), _u11025))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11022, tc_HOL_Obool)), _u11025), _u11027)) | hBOOL(hAPP(hAPP(c_member(_u11022), hAPP(c_Fun_Othe__inv__into(_u11022, _u11023, _u11025, _u11024), _u11026)), _u11027)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11029) | ~c_Fun_Oinj__on(_u11030, _u11031, _u11032, _u11033) | ( _u11034 != hAPP(c_Set_Oimage(_u11030, _u11031, _u11032), _u11033)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11031, _u11029), _u11036), _u11034) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11030, _u11029), _u11035), _u11033)) | hBOOL(hAPP(hAPP(c_member(_u11030), skolem234(_u11036, _u11035, _u11034, _u11033, _u11032, _u11031, _u11030, _u11029)), _u11033)) )).
% 28.96/29.20 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11029) | ~c_Fun_Oinj__on(_u11030, _u11031, _u11032, _u11033) | ( _u11034 != hAPP(c_Set_Oimage(_u11030, _u11031, _u11032), _u11033)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11031, _u11029), _u11036), _u11034) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11030, _u11029), _u11035), _u11033)) | ( hAPP(_u11035, skolem234(_u11036, _u11035, _u11034, _u11033, _u11032, _u11031, _u11030, _u11029)) != hAPP(hAPP(c_Fun_Ocomp(_u11031, _u11029, _u11030, _u11036), _u11032), skolem234(_u11036, _u11035, _u11034, _u11033, _u11032, _u11031, _u11030, _u11029))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u11037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11037), _u11038), _u11039)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11037, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11037), _u11038)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11037, _u11038, _u11039)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11037), _u11039)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11040, _u11041, _u11042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11040), _u11043)) | ( _u11043 = c_Orderings_Obot__class_Obot(tc_fun(_u11040, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11040), _u11044)) | ( _u11044 = c_Orderings_Obot__class_Obot(tc_fun(_u11040, tc_HOL_Obool))) | ( hAPP(_u11042, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11040, tc_HOL_Obool)), _u11043), _u11044)) = hAPP(hAPP(_u11041, hAPP(_u11042, _u11043)), hAPP(_u11042, _u11044))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11045))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11046)) = _u11046) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u11048, _u11050), _u11050) = _u11050) | ~c_Finite__Set_Ofolding__one__idem(_u11047, _u11048, _u11049) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11051) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11051), _u11052) != hAPP(c_SetInterval_Oord__class_OlessThan(_u11051), _u11053)) | ( _u11052 = _u11053) )).
% 28.96/29.20 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11051) | ( _u11052 != _u11053) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11051), _u11052) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11051), _u11053)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11054) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11054)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 28.96/29.20 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))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11055)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11055)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11056)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11056), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11056))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u11057) | ~hBOOL(hAPP(hAPP(c_member(_u11057), _u11058), hAPP(c_SetInterval_Oord__class_OlessThan(_u11057), _u11059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11057), _u11058), _u11059)) )).
% 28.96/29.20 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u11057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11057), _u11058), _u11059)) | hBOOL(hAPP(hAPP(c_member(_u11057), _u11058), hAPP(c_SetInterval_Oord__class_OlessThan(_u11057), _u11059))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11060, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11060), _u11061)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11060), _u11062))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11060), _u11061), _u11062)) )).
% 28.96/29.20 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11060), _u11061), _u11062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11060, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11060), _u11061)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11060), _u11062))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11063, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11063), _u11064)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11063), _u11065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11063), _u11064), _u11065)) )).
% 28.96/29.20 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11063), _u11064), _u11065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11063, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11063), _u11064)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11063), _u11065))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11066, _u11067, _u11068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11066), _u11069)) | ~hBOOL(hAPP(hAPP(c_member(_u11066), _u11070), _u11069)) | ( hAPP(hAPP(_u11067, _u11070), hAPP(_u11068, _u11069)) = hAPP(_u11068, _u11069)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u11071) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11071, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11071), _u11072), c_Orderings_Obot__class_Obot(tc_fun(_u11071, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u11071), _u11072)) = hAPP(hAPP(c_Set_Oinsert(_u11071), _u11072), c_Orderings_Obot__class_Obot(tc_fun(_u11071, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u11073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11073), _u11074), _u11075)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11073, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11073), _u11074)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11073, _u11074), _u11075)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11073), _u11075)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u11076) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11076, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11076), _u11077)), c_SetInterval_Oord__class_OatLeastAtMost(_u11076, _u11077, _u11078)) = c_Orderings_Obot__class_Obot(tc_fun(_u11076, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u11079) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11079, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11079), _u11080)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11079, _u11080), _u11081)) = c_Orderings_Obot__class_Obot(tc_fun(_u11079, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11082)) = 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), _u11082)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u11083) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11083, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11083), _u11084)), hAPP(hAPP(c_Set_Oinsert(_u11083), _u11084), c_Orderings_Obot__class_Obot(tc_fun(_u11083, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u11083), _u11084)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11085, _u11086, _u11087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11085), _u11088)) | ( _u11088 = c_Orderings_Obot__class_Obot(tc_fun(_u11085, tc_HOL_Obool))) | ( hAPP(_u11087, hAPP(hAPP(c_Set_Oinsert(_u11085), _u11089), _u11088)) = hAPP(hAPP(_u11086, _u11089), hAPP(_u11087, _u11088))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u11090) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11090), _u11091), _u11092)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11090, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11090), _u11091)), c_SetInterval_Oord__class_OatLeastAtMost(_u11090, _u11091, _u11092)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11090), _u11092)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11093, _u11094, _u11095) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11093), _u11096)) | ( _u11097 = c_Orderings_Obot__class_Obot(tc_fun(_u11093, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11093, tc_HOL_Obool)), _u11097), _u11096)) | ( hAPP(hAPP(_u11094, hAPP(_u11095, _u11097)), hAPP(_u11095, _u11096)) = hAPP(_u11095, _u11096)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 28.96/29.20 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)), _u11098)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11098) = 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, _u11098)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 28.96/29.20 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), _u11099)), 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))), _u11100))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11101))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11101)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11099), 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), _u11101), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11100))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), skolem236(_u11107, _u11106, _u11105, _u11104))) )).
% 28.96/29.20 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | hBOOL(hAPP(hAPP(c_member(_u11104), skolem235(_u11107, _u11106, _u11105, _u11104)), _u11106)) )).
% 28.96/29.20 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | ~hBOOL(hAPP(hAPP(c_member(_u11104), skolem235(_u11107, _u11106, _u11105, _u11104)), skolem236(_u11107, _u11106, _u11105, _u11104))) )).
% 28.96/29.20 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | hBOOL(hAPP(_u11107, skolem236(_u11107, _u11106, _u11105, _u11104))) )).
% 28.96/29.20 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | ~hBOOL(hAPP(_u11107, hAPP(hAPP(c_Set_Oinsert(_u11104), skolem235(_u11107, _u11106, _u11105, _u11104)), skolem236(_u11107, _u11106, _u11105, _u11104)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u11108) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11108, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11108), _u11109)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11108), _u11109)) = hAPP(hAPP(c_Set_Oinsert(_u11108), _u11109), c_Orderings_Obot__class_Obot(tc_fun(_u11108, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11110), hAPP(c_Groups_Oabs__class_Oabs(_u11110), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11111, _u11110), _u11112), _u11113))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11111, _u11110), hAPP(hAPP(c_COMBB(_u11110, _u11110, _u11111), c_Groups_Oabs__class_Oabs(_u11110)), _u11112)), _u11113))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11114), c_Groups_Ozero__class_Ozero(_u11114)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11115, _u11114), hAPP(hAPP(c_COMBB(_u11114, _u11114, _u11115), c_Groups_Oabs__class_Oabs(_u11114)), _u11116)), _u11117))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11118) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11118), _u11119) != hAPP(c_SetInterval_Oord__class_OatLeast(_u11118), _u11120)) | ( _u11119 = _u11120) )).
% 28.96/29.20 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11118) | ( _u11119 != _u11120) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11118), _u11119) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11118), _u11120)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u11121) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11122, _u11121), hAPP(hAPP(c_COMBB(_u11121, _u11121, _u11122), c_Groups_Ouminus__class_Ouminus(_u11121)), _u11123)), _u11124) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11121), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11122, _u11121), _u11123), _u11124))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11125) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11126, _u11125), hAPP(hAPP(c_COMBC(_u11126, tc_fun(_u11127, tc_HOL_Obool), _u11125), hAPP(hAPP(c_COMBB(tc_fun(_u11127, _u11125), tc_fun(tc_fun(_u11127, tc_HOL_Obool), _u11125), _u11126), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11127, _u11125)), _u11128)), _u11129)), _u11130) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11127, _u11125), hAPP(hAPP(c_COMBC(_u11127, tc_fun(_u11126, tc_HOL_Obool), _u11125), hAPP(hAPP(c_COMBB(tc_fun(_u11126, _u11125), tc_fun(tc_fun(_u11126, tc_HOL_Obool), _u11125), _u11127), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11126, _u11125)), hAPP(c_COMBC(_u11126, _u11127, _u11125), _u11128))), _u11130)), _u11129)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u11131) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11131), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11132, tc_Nat_Onat), _u11133), _u11134)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11132, _u11131), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11131, _u11132), c_Nat_Osemiring__1__class_Oof__nat(_u11131)), _u11133)), _u11134)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u11135) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11135), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11136, tc_Int_Oint), _u11137), _u11138)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11136, _u11135), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11135, _u11136), c_Int_Oring__1__class_Oof__int(_u11135)), _u11137)), _u11138)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11139) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11140, _u11139), hAPP(c_COMBK(_u11139, _u11140), c_Groups_Ozero__class_Ozero(_u11139))), _u11141) = c_Groups_Ozero__class_Ozero(_u11139)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u11142) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11142), _u11143), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11144, _u11142), _u11145), _u11146)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11144, _u11142), hAPP(hAPP(c_COMBB(_u11142, _u11142, _u11144), hAPP(c_Groups_Otimes__class_Otimes(_u11142), _u11143)), _u11145)), _u11146)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u11147) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11147), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11148, _u11147), _u11149), _u11150)), _u11151) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11148, _u11147), hAPP(hAPP(c_COMBC(_u11148, _u11147, _u11147), hAPP(hAPP(c_COMBB(_u11147, tc_fun(_u11147, _u11147), _u11148), c_Groups_Otimes__class_Otimes(_u11147)), _u11149)), _u11151)), _u11150)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u11152) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11152), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11153, _u11152), _u11154), _u11155)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11156, _u11152), _u11157), _u11158)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11153, _u11152), hAPP(hAPP(c_COMBC(_u11153, tc_fun(_u11156, tc_HOL_Obool), _u11152), hAPP(hAPP(c_COMBB(tc_fun(_u11156, _u11152), tc_fun(tc_fun(_u11156, tc_HOL_Obool), _u11152), _u11153), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11156, _u11152)), hAPP(hAPP(c_COMBC(_u11153, tc_fun(_u11156, _u11152), tc_fun(_u11156, _u11152)), hAPP(hAPP(c_COMBB(tc_fun(_u11152, _u11152), tc_fun(tc_fun(_u11156, _u11152), tc_fun(_u11156, _u11152)), _u11153), c_COMBB(_u11152, _u11152, _u11156)), hAPP(hAPP(c_COMBB(_u11152, tc_fun(_u11152, _u11152), _u11153), c_Groups_Otimes__class_Otimes(_u11152)), _u11154))), _u11157))), _u11158)), _u11155)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11159) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11160, _u11159), hAPP(hAPP(c_COMBS(_u11160, _u11159, _u11159), hAPP(hAPP(c_COMBB(_u11159, tc_fun(_u11159, _u11159), _u11160), c_Groups_Oplus__class_Oplus(_u11159)), _u11161)), _u11162)), _u11163) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11159), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11160, _u11159), _u11161), _u11163)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11160, _u11159), _u11162), _u11163))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u11164) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11164), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11165, _u11164), hAPP(hAPP(c_COMBB(_u11164, _u11164, _u11165), c_Groups_Oabs__class_Oabs(_u11164)), _u11166)), _u11167)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11165, _u11164), hAPP(hAPP(c_COMBB(_u11164, _u11164, _u11165), c_Groups_Oabs__class_Oabs(_u11164)), _u11166)), _u11167)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u11168) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11168), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11169, _u11168), _u11170), _u11171)), _u11172) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11169, _u11168), hAPP(hAPP(c_COMBC(_u11169, _u11168, _u11168), hAPP(hAPP(c_COMBB(_u11168, tc_fun(_u11168, _u11168), _u11169), c_Rings_Oinverse__class_Odivide(_u11168)), _u11170)), _u11172)), _u11171)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u11173) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11174, _u11173), hAPP(hAPP(c_COMBS(_u11174, _u11173, _u11173), hAPP(hAPP(c_COMBB(_u11173, tc_fun(_u11173, _u11173), _u11174), c_Groups_Ominus__class_Ominus(_u11173)), _u11175)), _u11176)), _u11177) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11173), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11174, _u11173), _u11175), _u11177)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11174, _u11173), _u11176), _u11177))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11178) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11179, _u11178), _u11180), c_Orderings_Obot__class_Obot(tc_fun(_u11179, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11178)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11181) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11182, _u11181), _u11183), c_Orderings_Obot__class_Obot(tc_fun(_u11182, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11181)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11184) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11185), _u11186)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11185, _u11184), _u11187), _u11186) = c_Groups_Ozero__class_Ozero(_u11184)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11188) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11189), _u11190)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11189, _u11188), _u11191), _u11190) = c_Groups_Ozero__class_Ozero(_u11188)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11193), _u11194)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11193, _u11192), hAPP(hAPP(c_COMBS(_u11193, _u11192, _u11192), hAPP(hAPP(c_COMBB(_u11192, tc_fun(_u11192, _u11192), _u11193), c_Groups_Oplus__class_Oplus(_u11192)), _u11195)), _u11196)), _u11194) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11192), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11193, _u11192), _u11195), _u11194)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11193, _u11192), _u11196), _u11194))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11197) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11197), _u11198), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11199))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11197), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11197), _u11198), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11199))), hAPP(_u11198, _u11199))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11200) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11200), _u11201), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11202)), hAPP(c_Nat_OSuc, _u11203))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11200), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11200, tc_Nat_Onat), _u11201), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11202), _u11203))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11204) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11204), _u11205), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11206), _u11207)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11208), _u11207))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11204), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11204, tc_Nat_Onat), _u11205), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11207))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11206), _u11208))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11209), _u11210), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11211), hAPP(c_Nat_OSuc, _u11212))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11209), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11209, tc_Nat_Onat), _u11210), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11211, _u11212))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11213) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11213), _u11214), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11215), _u11216), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11217), _u11216))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11213), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11213, tc_Nat_Onat), _u11214), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11216))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11215, _u11217))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11218) | ~c_Fun_Oinj__on(_u11219, _u11220, _u11221, _u11222) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11220, _u11218), _u11223), hAPP(c_Set_Oimage(_u11219, _u11220, _u11221), _u11222)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11219, _u11218), hAPP(c_Fun_Ocomp(_u11220, _u11218, _u11219, _u11223), _u11221)), _u11222)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11225), _u11226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11226), _u11227)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11224), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11224), _u11228), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11225), _u11226))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11224), _u11228), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11226), _u11227))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11224), _u11228), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11225), _u11227))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11230), _u11231)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11231), _u11232)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11229), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11229), _u11233), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11230), _u11232))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11229), _u11233), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11230), _u11231))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11229), _u11233), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11231), _u11232))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u11234) | ~hBOOL(hAPP(hAPP(c_member(_u11234), _u11235), hAPP(c_SetInterval_Oord__class_OatLeast(_u11234), _u11236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11234), _u11236), _u11235)) )).
% 28.96/29.20 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u11234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11234), _u11236), _u11235)) | hBOOL(hAPP(hAPP(c_member(_u11234), _u11235), hAPP(c_SetInterval_Oord__class_OatLeast(_u11234), _u11236))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11238), _u11239)) | ~hBOOL(hAPP(hAPP(c_member(_u11238), _u11240), _u11239)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11238, _u11237), hAPP(hAPP(c_COMBC(_u11238, _u11237, _u11237), hAPP(hAPP(c_COMBS(_u11238, _u11237, tc_fun(_u11237, _u11237)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11237, tc_fun(_u11237, _u11237)), _u11238), c_If(_u11237)), hAPP(c_fequal, _u11240))), _u11241)), c_Groups_Ozero__class_Ozero(_u11237))), _u11239) = hAPP(_u11241, _u11240)) )).
% 28.96/29.20 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11238), _u11239)) | hBOOL(hAPP(hAPP(c_member(_u11238), _u11240), _u11239)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11238, _u11237), hAPP(hAPP(c_COMBC(_u11238, _u11237, _u11237), hAPP(hAPP(c_COMBS(_u11238, _u11237, tc_fun(_u11237, _u11237)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11237, tc_fun(_u11237, _u11237)), _u11238), c_If(_u11237)), hAPP(c_fequal, _u11240))), _u11241)), c_Groups_Ozero__class_Ozero(_u11237))), _u11239) = c_Groups_Ozero__class_Ozero(_u11237)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11243), _u11244)) | ~hBOOL(hAPP(hAPP(c_member(_u11243), _u11245), _u11244)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11243, _u11242), hAPP(hAPP(c_COMBC(_u11243, _u11242, _u11242), hAPP(hAPP(c_COMBS(_u11243, _u11242, tc_fun(_u11242, _u11242)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11242, tc_fun(_u11242, _u11242)), _u11243), c_If(_u11242)), hAPP(hAPP(c_COMBC(_u11243, _u11243, tc_HOL_Obool), c_fequal), _u11245))), _u11246)), c_Groups_Ozero__class_Ozero(_u11242))), _u11244) = hAPP(_u11246, _u11245)) )).
% 28.96/29.20 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11243), _u11244)) | hBOOL(hAPP(hAPP(c_member(_u11243), _u11245), _u11244)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11243, _u11242), hAPP(hAPP(c_COMBC(_u11243, _u11242, _u11242), hAPP(hAPP(c_COMBS(_u11243, _u11242, tc_fun(_u11242, _u11242)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11242, tc_fun(_u11242, _u11242)), _u11243), c_If(_u11242)), hAPP(hAPP(c_COMBC(_u11243, _u11243, tc_HOL_Obool), c_fequal), _u11245))), _u11246)), c_Groups_Ozero__class_Ozero(_u11242))), _u11244) = c_Groups_Ozero__class_Ozero(_u11242)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u11247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11247, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11247), _u11248)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11247), _u11249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11247), _u11249), _u11248)) )).
% 28.96/29.20 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u11247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11247), _u11249), _u11248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11247, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11247), _u11248)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11247), _u11249))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u11250) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11251, _u11250), hAPP(c_COMBK(_u11250, _u11251), _u11252)), _u11253) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11250), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11250), hAPP(c_Finite__Set_Ocard(_u11251), _u11253))), _u11252)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11254) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11254), _u11255), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11256))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11254), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11254), _u11255), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11256))), hAPP(_u11255, hAPP(c_Nat_OSuc, _u11256)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u11257) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11257, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11257), _u11258)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11257), _u11258)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u11259) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11259, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11259), _u11260)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11259), _u11260)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11261) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11262), _u11263)) | hBOOL(hAPP(hAPP(c_member(_u11262), _u11264), _u11263)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11262, _u11261), _u11265), hAPP(hAPP(c_Set_Oinsert(_u11262), _u11264), _u11263)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11261), hAPP(_u11265, _u11264)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11262, _u11261), _u11265), _u11263))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11267), _u11268)) | hBOOL(hAPP(hAPP(c_member(_u11267), _u11269), _u11268)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11267, _u11266), _u11270), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11269), _u11268)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11266), hAPP(_u11270, _u11269)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11267, _u11266), _u11270), _u11268))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11272), _u11273)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11272), _u11274)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11271), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11272, _u11271), _u11275), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11272, tc_HOL_Obool)), _u11273), _u11274))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11272, _u11271), _u11275), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11272, tc_HOL_Obool)), _u11273), _u11274))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11271), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11272, _u11271), _u11275), _u11273)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11272, _u11271), _u11275), _u11274))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u11276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11277), _u11278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11277, tc_HOL_Obool)), _u11279), _u11278)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11277, _u11276), _u11280), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11277, tc_HOL_Obool)), _u11278), _u11279)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11276), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11277, _u11276), _u11280), _u11278)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11277, _u11276), _u11280), _u11279))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11281) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11282), _u11283)) | ~c_Fun_Oinj__on(_u11282, _u11282, _u11284, _u11283) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11282, _u11281), _u11285), hAPP(c_Set_Oimage(_u11282, _u11282, _u11284), _u11283)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11282, _u11281), hAPP(c_Fun_Ocomp(_u11282, _u11281, _u11282, _u11285), _u11284)), _u11283)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11286) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11287), _u11288)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11287, _u11286), _u11289), _u11288) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11286, _u11287, c_Groups_Oplus__class_Oplus(_u11286)), _u11289), c_Groups_Ozero__class_Ozero(_u11286)), _u11288)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11290) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11291), _u11292)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11291, _u11290), _u11293), _u11292) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11290, _u11291, c_Groups_Oplus__class_Oplus(_u11290)), _u11293), c_Groups_Ozero__class_Ozero(_u11290)), _u11292)) )).
% 28.96/29.20 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11290) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11291), _u11292)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11291, _u11290), _u11293), _u11292) = c_Groups_Ozero__class_Ozero(_u11290)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11294) | ( hAPP(_u11295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u11294)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11294), _u11295), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u11296)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11294), _u11295), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11296))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11298), _u11299)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11297), _u11300), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11298), _u11299)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11297), hAPP(_u11300, _u11298)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11297), _u11300), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11298)), _u11299)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11302), _u11303)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11301), _u11304), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11302, _u11303)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11301), hAPP(_u11304, _u11302)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11301), _u11304), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11302), _u11303)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11305) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11306), _u11307)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11306, _u11305), _u11308), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11306, tc_HOL_Obool)), _u11307), _u11309)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11306, _u11305), hAPP(hAPP(c_COMBC(_u11306, _u11305, _u11305), hAPP(hAPP(c_COMBS(_u11306, _u11305, tc_fun(_u11305, _u11305)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11305, tc_fun(_u11305, _u11305)), _u11306), c_If(_u11305)), hAPP(hAPP(c_COMBC(_u11306, tc_fun(_u11306, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11306)), _u11309))), _u11308)), c_Groups_Ozero__class_Ozero(_u11305))), _u11307)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11311), _u11312)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11311, _u11310), _u11313), hAPP(hAPP(c_Set_Oinsert(_u11311), _u11314), _u11312)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11310), hAPP(_u11313, _u11314)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11311, _u11310), _u11313), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11311, tc_HOL_Obool)), _u11312), hAPP(hAPP(c_Set_Oinsert(_u11311), _u11314), c_Orderings_Obot__class_Obot(tc_fun(_u11311, tc_HOL_Obool))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11316), _u11317)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11316), _u11318)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11316, tc_HOL_Obool)), _u11317), _u11318) != c_Orderings_Obot__class_Obot(tc_fun(_u11316, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11316, _u11315), _u11319), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11316, tc_HOL_Obool)), _u11317), _u11318)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11315), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11316, _u11315), _u11319), _u11317)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11316, _u11315), _u11319), _u11318))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u11320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11321), _u11322)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11321), _u11323)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11321, _u11320), _u11324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11321, tc_HOL_Obool)), _u11322), _u11323)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11320), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11320), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11321, _u11320), _u11324), _u11322)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11321, _u11320), _u11324), _u11323))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11321, _u11320), _u11324), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11321, tc_HOL_Obool)), _u11322), _u11323)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u11325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11325), _u11326), _u11327)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11325, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11325, _u11326), _u11327)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11325), _u11327)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11325), _u11326)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u11328) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11328, _u11329), _u11330)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11328), _u11330)) = c_Orderings_Obot__class_Obot(tc_fun(_u11328, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u11331) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11331, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11331), _u11332)), c_SetInterval_Oord__class_OatLeastAtMost(_u11331, _u11333, _u11334)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11331, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11331), _u11332), _u11333), _u11334)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u11335) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11335, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11335, _u11336, _u11337)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11335), _u11338)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11335, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11335), _u11336), _u11338), _u11337)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11340), _u11341)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11339), _u11342), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11341), hAPP(c_Nat_OSuc, _u11340))) = c_Groups_Ozero__class_Ozero(_u11339)) )).
% 28.96/29.20 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11340), _u11341)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11339), _u11342), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11341), hAPP(c_Nat_OSuc, _u11340))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11339), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11339), _u11342), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11341), _u11340))), hAPP(_u11342, _u11340))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11344)), _u11345)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11343), _u11346), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11345, hAPP(c_Nat_OSuc, _u11344))) = c_Groups_Ozero__class_Ozero(_u11343)) )).
% 28.96/29.20 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11343) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11344)), _u11345)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11343), _u11346), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11345, hAPP(c_Nat_OSuc, _u11344))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11343), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11343), _u11346), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11345, _u11344))), hAPP(_u11346, hAPP(c_Nat_OSuc, _u11344)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11348), _u11349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11347), _u11350), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11348, _u11349)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11347), hAPP(_u11350, _u11348)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11347), _u11350), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u11348, _u11349)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u11351) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11351, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11351, _u11352, _u11353)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11351), _u11353)) = c_Orderings_Obot__class_Obot(tc_fun(_u11351, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11354) | ( hAPP(c_Set_Oimage(_u11354, _u11354, c_Groups_Ouminus__class_Ouminus(_u11354)), hAPP(c_SetInterval_Oord__class_OatMost(_u11354), _u11355)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11354), hAPP(c_Groups_Ouminus__class_Ouminus(_u11354), _u11355))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11356) | ( hAPP(c_Set_Oimage(_u11356, _u11356, c_Groups_Ouminus__class_Ouminus(_u11356)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11356), _u11357)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11356), hAPP(c_Groups_Ouminus__class_Ouminus(_u11356), _u11357))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11358)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u11358)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11358), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11360), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11361), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11359), _u11362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11360, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11361), _u11363))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11359), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11359), _u11362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11360, _u11361))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11359), _u11362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11361), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11361), _u11363))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11365), _u11366)) | ~hBOOL(hAPP(hAPP(c_member(_u11365), _u11367), _u11366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11365, _u11364), _u11368), _u11366) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11364), hAPP(_u11368, _u11367)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11365, _u11364), _u11368), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11365, tc_HOL_Obool)), _u11366), hAPP(hAPP(c_Set_Oinsert(_u11365), _u11367), c_Orderings_Obot__class_Obot(tc_fun(_u11365, tc_HOL_Obool))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11370), _u11371)) | ~hBOOL(hAPP(hAPP(c_member(_u11370), _u11372), _u11371)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11370, _u11369), _u11373), _u11371) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11369), hAPP(_u11373, _u11372)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11370, _u11369), _u11373), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11370, tc_HOL_Obool)), _u11371), hAPP(hAPP(c_Set_Oinsert(_u11370), _u11372), c_Orderings_Obot__class_Obot(tc_fun(_u11370, tc_HOL_Obool))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u11374) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11375), _u11376)) | ~hBOOL(hAPP(hAPP(c_member(_u11375), _u11377), _u11376)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11375, _u11374), _u11378), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11375, tc_HOL_Obool)), _u11376), hAPP(hAPP(c_Set_Oinsert(_u11375), _u11377), c_Orderings_Obot__class_Obot(tc_fun(_u11375, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11374), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11375, _u11374), _u11378), _u11376)), hAPP(_u11378, _u11377))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u11379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11380), _u11381)) | ~hBOOL(hAPP(hAPP(c_member(_u11380), _u11382), _u11381)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11380, _u11379), _u11383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11380, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Set_Oinsert(_u11380), _u11382), c_Orderings_Obot__class_Obot(tc_fun(_u11380, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11379), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11380, _u11379), _u11383), _u11381)), hAPP(_u11383, _u11382))) )).
% 28.96/29.20 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u11379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11380), _u11381)) | hBOOL(hAPP(hAPP(c_member(_u11380), _u11382), _u11381)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11380, _u11379), _u11383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11380, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Set_Oinsert(_u11380), _u11382), c_Orderings_Obot__class_Obot(tc_fun(_u11380, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11380, _u11379), _u11383), _u11381)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11384) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11384), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11384), c_Groups_Oone__class_Oone(_u11384)), c_Groups_Oone__class_Oone(_u11384))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11384), hAPP(hAPP(c_COMBB(_u11384, _u11384, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u11384), _u11385)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u11384, _u11384), hAPP(hAPP(c_COMBB(_u11384, tc_fun(_u11384, _u11384), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u11384)), c_Nat_Osemiring__1__class_Oof__nat(_u11384))), _u11386))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11387))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11384), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11384), _u11387)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11384), _u11385), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11384), _u11385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11384), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11384), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11387), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11386))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u11388) | ( _u11389 = c_Groups_Oone__class_Oone(_u11388)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11388), hAPP(c_Power_Opower__class_Opower(_u11388), _u11389)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11390)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11388), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11388), hAPP(hAPP(c_Power_Opower__class_Opower(_u11388), _u11389), _u11390)), c_Groups_Oone__class_Oone(_u11388))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11388), _u11389), c_Groups_Oone__class_Oone(_u11388)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11391) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11391), c_Groups_Oone__class_Oone(_u11391)), c_Groups_Oone__class_Oone(_u11391))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11391), c_Nat_Osemiring__1__class_Oof__nat(_u11391)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u11392))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11391), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11391), _u11392)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11391), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11391), _u11392)), c_Groups_Oone__class_Oone(_u11391)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u11393) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11394), _u11395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11393), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u11393, _u11393), hAPP(hAPP(c_COMBB(_u11393, tc_fun(_u11393, _u11393), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u11393)), _u11396)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11393, tc_Nat_Onat), _u11396), 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, _u11394, _u11395)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11393), hAPP(_u11396, _u11394)), hAPP(_u11396, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11395), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 28.96/29.20 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u11393) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11394), _u11395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11393), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u11393, _u11393), hAPP(hAPP(c_COMBB(_u11393, tc_fun(_u11393, _u11393), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u11393)), _u11396)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11393, tc_Nat_Onat), _u11396), 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, _u11394, _u11395)) = c_Groups_Ozero__class_Ozero(_u11393)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u11398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11399), _u11400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11399, tc_HOL_Obool)), _u11401), _u11400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11398), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11399, _u11398), _u11402), _u11401)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11399, _u11398), _u11402), _u11400))) | hBOOL(hAPP(hAPP(c_member(_u11399), skolem237(_u11402, _u11401, _u11400, _u11399, _u11398)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11399, tc_HOL_Obool)), _u11400), _u11401))) )).
% 28.96/29.20 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u11398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11399), _u11400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11399, tc_HOL_Obool)), _u11401), _u11400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11398), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11399, _u11398), _u11402), _u11401)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11399, _u11398), _u11402), _u11400))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11398), c_Groups_Ozero__class_Ozero(_u11398)), hAPP(_u11402, skolem237(_u11402, _u11401, _u11400, _u11399, _u11398)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u11404) | ~class_Rings_Osemiring__1(_u11404) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11404), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11405, _u11404), _u11407), _u11406)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11404), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11404), hAPP(c_Finite__Set_Ocard(_u11405), _u11406))), _u11408))) | hBOOL(hAPP(hAPP(c_member(_u11405), skolem238(_u11408, _u11407, _u11406, _u11405, _u11404)), _u11406)) )).
% 28.96/29.20 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u11404) | ~class_Rings_Osemiring__1(_u11404) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11404), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11405, _u11404), _u11407), _u11406)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11404), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11404), hAPP(c_Finite__Set_Ocard(_u11405), _u11406))), _u11408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11404), hAPP(_u11407, skolem238(_u11408, _u11407, _u11406, _u11405, _u11404))), _u11408)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11411), _u11412)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11411), _u11413)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11411, tc_HOL_Obool)), _u11412), _u11413)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11410), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), _u11412)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), _u11413))) | hBOOL(hAPP(hAPP(c_member(_u11411), skolem239(_u11414, _u11413, _u11412, _u11411, _u11410)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11411, tc_HOL_Obool)), _u11412), _u11413))) )).
% 28.96/29.20 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11411), _u11412)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11411), _u11413)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11411, tc_HOL_Obool)), _u11412), _u11413)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11410), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), _u11412)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), _u11413))) | ( hAPP(_u11414, skolem239(_u11414, _u11413, _u11412, _u11411, _u11410)) != c_Groups_Ozero__class_Ozero(_u11410)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11417), _u11418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11417, tc_Nat_Onat), _u11419), _u11418) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11417), _u11415), _u11418)) | ( hAPP(_u11419, _u11415) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11417), _u11418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11417, tc_Nat_Onat), _u11419), _u11418) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11417), skolem240(_u11419, _u11418, _u11417)), _u11418)) )).
% 28.96/29.20 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11417), _u11418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11417, tc_Nat_Onat), _u11419), _u11418) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u11419, skolem240(_u11419, _u11418, _u11417)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u11420), _u11421) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11420, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u11420), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u11421)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 28.96/29.20 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(_u11422, tc_Nat_Onat), _u11423), _u11424)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11422, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u11422), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11423)), _u11424)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u11429), skolem241(_u11431, _u11430, _u11429)), _u11430)) )).
% 28.96/29.20 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u11431, skolem241(_u11431, _u11430, _u11429)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.20 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11429), _u11425), _u11430)) | ( skolem241(_u11431, _u11430, _u11429) = _u11425) | ( hAPP(_u11431, _u11425) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11429), _u11428), _u11430)) | ( hAPP(_u11431, _u11428) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u11429), skolem242(_u11431, _u11430, _u11429, _u11428)), _u11430)) )).
% 28.96/29.20 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11429), _u11428), _u11430)) | ( hAPP(_u11431, _u11428) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u11428 != skolem242(_u11431, _u11430, _u11429, _u11428)) )).
% 28.96/29.20 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11429), _u11428), _u11430)) | ( hAPP(_u11431, _u11428) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u11431, skolem242(_u11431, _u11430, _u11429, _u11428)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11436), skolem243(_u11438, _u11437, _u11436)), _u11437)) )).
% 28.96/29.20 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11438, skolem243(_u11438, _u11437, _u11436)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 28.96/29.20 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11432), _u11437)) | ( skolem243(_u11438, _u11437, _u11436) = _u11432) | ( hAPP(_u11438, _u11432) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11435), _u11437)) | ( hAPP(_u11438, _u11435) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11436), skolem244(_u11438, _u11437, _u11436, _u11435)), _u11437)) )).
% 28.96/29.20 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11435), _u11437)) | ( hAPP(_u11438, _u11435) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u11435 != skolem244(_u11438, _u11437, _u11436, _u11435)) )).
% 28.96/29.20 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11435), _u11437)) | ( hAPP(_u11438, _u11435) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11438, skolem244(_u11438, _u11437, _u11436, _u11435)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u11439, 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), _u11439), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11440)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11439), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11440))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11441, tc_Nat_Onat), _u11442), _u11443) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11441, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u11441), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11442)), _u11443))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11444), _u11445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11444, tc_HOL_Obool)), _u11445), _u11446)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, tc_Nat_Onat), _u11447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11444, tc_HOL_Obool)), _u11446), _u11445)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, tc_Nat_Onat), _u11447), _u11446)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, tc_Nat_Onat), _u11447), _u11445))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11448) | ~class_Groups_Ocomm__monoid__mult(_u11448) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11448), _u11449), _u11450) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11448), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11448, tc_Int_Oint), _u11449), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11450))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11455), _u11457), _u11459)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11455, tc_Nat_Onat), _u11461), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11455, tc_HOL_Obool)), _u11459), hAPP(hAPP(c_Set_Oinsert(_u11455), _u11457), c_Orderings_Obot__class_Obot(tc_fun(_u11455, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11455, tc_Nat_Onat), _u11461), _u11459)), hAPP(_u11461, _u11457))) )).
% 28.96/29.20 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11456), _u11458), _u11460)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11456, tc_Nat_Onat), _u11462), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11456, tc_HOL_Obool)), _u11460), hAPP(hAPP(c_Set_Oinsert(_u11456), _u11458), c_Orderings_Obot__class_Obot(tc_fun(_u11456, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11456, tc_Nat_Onat), _u11462), _u11460)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11463), _u11464)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11463), _u11465)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, tc_Nat_Onat), _u11466), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11463, tc_HOL_Obool)), _u11464), _u11465)) = 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(_u11463, tc_Nat_Onat), _u11466), _u11464)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, tc_Nat_Onat), _u11466), _u11465))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, tc_Nat_Onat), _u11466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11463, tc_HOL_Obool)), _u11464), _u11465)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11467) | ~class_Groups_Ocomm__monoid__mult(_u11467) | ~c_Nat__Transfer_Onat__set(_u11468) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11467), _u11469), _u11468) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11467), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11467, tc_Nat_Onat), _u11469), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11468))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 28.96/29.20 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), _u11470)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u11471))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11472))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11470), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11470), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11472), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u11471))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11474, tc_Int_Oint), _u11476), _u11475) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11474, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11474), c_Int_Onat), _u11476)), _u11475))) | hBOOL(hAPP(hAPP(c_member(_u11474), skolem245(_u11476, _u11475, _u11474)), _u11475)) )).
% 28.96/29.20 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11474, tc_Int_Oint), _u11476), _u11475) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11474, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11474), c_Int_Onat), _u11476)), _u11475))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11476, skolem245(_u11476, _u11475, _u11474))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11477)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11477)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11477)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11480), _u11481)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11480), _u11482)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11480, tc_HOL_Obool)), _u11481), _u11482)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), _u11481)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), _u11482))) | hBOOL(hAPP(hAPP(c_member(_u11480), skolem246(_u11483, _u11482, _u11481, _u11480, _u11479)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11480, tc_HOL_Obool)), _u11481), _u11482))) )).
% 28.96/29.20 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11480), _u11481)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11480), _u11482)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11480, tc_HOL_Obool)), _u11481), _u11482)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), _u11481)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), _u11482))) | ( hAPP(_u11483, skolem246(_u11483, _u11482, _u11481, _u11480, _u11479)) != c_Groups_Ozero__class_Ozero(_u11479)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11484) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11484), _u11485) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11484), _u11486)) | ( _u11485 = _u11486) )).
% 28.96/29.20 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11484) | ( _u11485 != _u11486) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11484), _u11485) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11484), _u11486)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u11487) | ~hBOOL(hAPP(hAPP(c_member(_u11487), _u11488), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11487), _u11489))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11487), _u11489), _u11488)) )).
% 28.96/29.20 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u11487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11487), _u11489), _u11488)) | hBOOL(hAPP(hAPP(c_member(_u11487), _u11488), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11487), _u11489))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u11490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11490, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11490), _u11491)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11490), _u11492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11490), _u11492), _u11491)) )).
% 28.96/29.20 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u11490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11490), _u11492), _u11491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11490, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11490), _u11491)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11490), _u11492))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u11493) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11493, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11493), _u11494)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11493), _u11494)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u11495) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11495, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11495), _u11496)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11495), _u11496)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11497)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11497)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u11498) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11498, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11498, _u11499, _u11500)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11498), _u11500)) = c_Orderings_Obot__class_Obot(tc_fun(_u11498, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u11501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11501), _u11502), _u11503)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11501, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11501, _u11502, _u11503)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11501), _u11503)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11501), _u11502)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11504) | ( hAPP(c_Set_Oimage(_u11504, _u11504, c_Groups_Ouminus__class_Ouminus(_u11504)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11504), _u11505)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11504), hAPP(c_Groups_Ouminus__class_Ouminus(_u11504), _u11505))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11506) | ( hAPP(c_Set_Oimage(_u11506, _u11506, c_Groups_Ouminus__class_Ouminus(_u11506)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11506), _u11507)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11506), hAPP(c_Groups_Ouminus__class_Ouminus(_u11506), _u11507))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u11508) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11508, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11508, _u11509, _u11510)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11508), _u11510)) = c_Orderings_Obot__class_Obot(tc_fun(_u11508, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u11511) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11511, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11511), _u11512), c_Orderings_Obot__class_Obot(tc_fun(_u11511, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11511), _u11512)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11511), _u11512)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u11513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11513), _u11514), _u11515)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11513, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11513, _u11514, _u11515)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11513), _u11515)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11513), _u11514)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u11516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11516), _u11517), _u11518)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11516, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11516, _u11517, _u11518)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11516), _u11518)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11516), _u11517)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11520) | ~class_Groups_Oordered__ab__semigroup__add(_u11520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11521), _u11522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11521, tc_HOL_Obool)), _u11523), _u11522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11520), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11521, _u11520), _u11524), _u11523)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11521, _u11520), _u11524), _u11522))) | hBOOL(hAPP(hAPP(c_member(_u11521), skolem247(_u11524, _u11523, _u11522, _u11521, _u11520)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11521, tc_HOL_Obool)), _u11522), _u11523))) )).
% 28.96/29.20 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11520) | ~class_Groups_Oordered__ab__semigroup__add(_u11520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11521), _u11522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11521, tc_HOL_Obool)), _u11523), _u11522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11520), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11521, _u11520), _u11524), _u11523)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11521, _u11520), _u11524), _u11522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11520), c_Groups_Ozero__class_Ozero(_u11520)), hAPP(_u11524, skolem247(_u11524, _u11523, _u11522, _u11521, _u11520)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | hBOOL(hAPP(hAPP(c_member(_u11528), skolem248(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527)), _u11529)) )).
% 28.96/29.20 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | hBOOL(hAPP(hAPP(c_member(_u11528), skolem249(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527)), _u11529)) )).
% 28.96/29.20 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | ( skolem248(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527) != skolem249(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527)) )).
% 28.96/29.20 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | ( hAPP(_u11530, skolem248(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527)) = hAPP(_u11530, skolem249(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527))) )).
% 28.96/29.20 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | ( hAPP(_u11531, hAPP(_u11530, skolem248(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527))) != c_Groups_Ozero__class_Ozero(_u11527)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11535), _u11536)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11535, _u11534), _u11537), _u11536) != c_Groups_Ozero__class_Ozero(_u11534)) | ~hBOOL(hAPP(hAPP(c_member(_u11535), _u11538), _u11536)) | ( hAPP(_u11537, _u11538) = c_Groups_Ozero__class_Ozero(_u11534)) | hBOOL(hAPP(hAPP(c_member(_u11535), skolem250(_u11538, _u11537, _u11536, _u11535, _u11534)), _u11536)) )).
% 28.96/29.20 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11535), _u11536)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11535, _u11534), _u11537), _u11536) != c_Groups_Ozero__class_Ozero(_u11534)) | ~hBOOL(hAPP(hAPP(c_member(_u11535), _u11538), _u11536)) | ( hAPP(_u11537, _u11538) = c_Groups_Ozero__class_Ozero(_u11534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11534), c_Groups_Ozero__class_Ozero(_u11534)), hAPP(_u11537, skolem250(_u11538, _u11537, _u11536, _u11535, _u11534)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11541), _u11542)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11541, _u11540), _u11543), _u11542) != _u11544) | ~hBOOL(hAPP(hAPP(c_member(_u11541), _u11545), _u11542)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11540), hAPP(_u11543, _u11545)), _u11544)) | hBOOL(hAPP(hAPP(c_member(_u11541), skolem251(_u11545, _u11544, _u11543, _u11542, _u11541, _u11540)), _u11542)) )).
% 28.96/29.20 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11541), _u11542)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11541, _u11540), _u11543), _u11542) != _u11544) | ~hBOOL(hAPP(hAPP(c_member(_u11541), _u11545), _u11542)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11540), hAPP(_u11543, _u11545)), _u11544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11540), c_Groups_Ozero__class_Ozero(_u11540)), hAPP(_u11543, skolem251(_u11545, _u11544, _u11543, _u11542, _u11541, _u11540)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11547, skolem252(_u11549, _u11548, _u11547))), hAPP(_u11548, skolem252(_u11549, _u11548, _u11547)))) | ( 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), _u11548), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11549))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11547), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11549))) = 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)), _u11548)), _u11547)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11549))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11552), _u11553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11552, tc_HOL_Obool)), _u11554), _u11553)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11552, _u11551), _u11555), _u11554) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11552, _u11551), _u11555), _u11553)) | hBOOL(hAPP(hAPP(c_member(_u11552), skolem253(_u11555, _u11554, _u11553, _u11552, _u11551)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11552, tc_HOL_Obool)), _u11553), _u11554))) )).
% 28.96/29.20 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11552), _u11553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11552, tc_HOL_Obool)), _u11554), _u11553)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11552, _u11551), _u11555), _u11554) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11552, _u11551), _u11555), _u11553)) | ( hAPP(_u11555, skolem253(_u11555, _u11554, _u11553, _u11552, _u11551)) != c_Groups_Ozero__class_Ozero(_u11551)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11558), _u11559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11558, tc_HOL_Obool)), _u11560), _u11559)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11558, _u11557), _u11561), _u11559) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11558, _u11557), _u11561), _u11560)) | hBOOL(hAPP(hAPP(c_member(_u11558), skolem254(_u11561, _u11560, _u11559, _u11558, _u11557)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11558, tc_HOL_Obool)), _u11559), _u11560))) )).
% 28.96/29.20 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11558), _u11559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11558, tc_HOL_Obool)), _u11560), _u11559)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11558, _u11557), _u11561), _u11559) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11558, _u11557), _u11561), _u11560)) | ( hAPP(_u11561, skolem254(_u11561, _u11560, _u11559, _u11558, _u11557)) != c_Groups_Ozero__class_Ozero(_u11557)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11563) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11563) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11564), _u11565)) | ( _u11565 = c_Orderings_Obot__class_Obot(tc_fun(_u11564, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11563), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11564, _u11563), _u11566), _u11565)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11564, _u11563), _u11567), _u11565))) | hBOOL(hAPP(hAPP(c_member(_u11564), skolem255(_u11567, _u11566, _u11565, _u11564, _u11563)), _u11565)) )).
% 28.96/29.20 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11563) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11563) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11564), _u11565)) | ( _u11565 = c_Orderings_Obot__class_Obot(tc_fun(_u11564, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11563), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11564, _u11563), _u11566), _u11565)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11564, _u11563), _u11567), _u11565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11563), hAPP(_u11566, skolem255(_u11567, _u11566, _u11565, _u11564, _u11563))), hAPP(_u11567, skolem255(_u11567, _u11566, _u11565, _u11564, _u11563)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11569) | ~class_Groups_Ocomm__monoid__mult(_u11569) | ( _u11570 != _u11571) | ~c_Nat__Transfer_Onat__set(_u11571) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11569), _u11572), _u11570) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11569), _u11573), _u11571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem256(_u11573, _u11572, _u11571, _u11570, _u11569))) )).
% 28.96/29.20 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11569) | ~class_Groups_Ocomm__monoid__mult(_u11569) | ( _u11570 != _u11571) | ~c_Nat__Transfer_Onat__set(_u11571) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11569), _u11572), _u11570) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11569), _u11573), _u11571)) | ( hAPP(_u11572, skolem256(_u11573, _u11572, _u11571, _u11570, _u11569)) != hAPP(_u11573, skolem256(_u11573, _u11572, _u11571, _u11570, _u11569))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u11574) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11574, _u11574, c_Groups_Otimes__class_Otimes(_u11574), _u11575, _u11576), _u11577)) | ~hBOOL(hAPP(hAPP(c_member(_u11574), _u11578), _u11576)) | hBOOL(hAPP(hAPP(c_member(_u11574), _u11575), _u11576)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11574, _u11574, c_Groups_Otimes__class_Otimes(_u11574), _u11578, hAPP(hAPP(c_Set_Oinsert(_u11574), _u11575), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11574, tc_HOL_Obool)), _u11576), hAPP(hAPP(c_Set_Oinsert(_u11574), _u11578), c_Orderings_Obot__class_Obot(tc_fun(_u11574, tc_HOL_Obool)))))), _u11577)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u11579) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11579), _u11580), _u11581) != c_Orderings_Obot__class_Obot(_u11579)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11579), _u11580), _u11581) != c_Orderings_Otop__class_Otop(_u11579)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11579), _u11580) = _u11581) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11583) | ~class_Groups_Ocomm__monoid__mult(_u11583) | ( _u11584 != _u11585) | ~c_Nat__Transfer_Onat__set(_u11585) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11583), _u11586), _u11584) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11583), _u11587), _u11585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem257(_u11587, _u11586, _u11585, _u11584, _u11583))) )).
% 28.96/29.20 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11583) | ~class_Groups_Ocomm__monoid__mult(_u11583) | ( _u11584 != _u11585) | ~c_Nat__Transfer_Onat__set(_u11585) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11583), _u11586), _u11584) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11583), _u11587), _u11585)) | ( hAPP(_u11586, skolem257(_u11587, _u11586, _u11585, _u11584, _u11583)) != hAPP(_u11587, skolem257(_u11587, _u11586, _u11585, _u11584, _u11583))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11588), _u11589), c_Orderings_Otop__class_Otop(tc_fun(_u11588, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 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))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_injD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_injD-1, axiom, ( ( hAPP(_u11592, _u11593) != hAPP(_u11592, _u11594)) | ( _u11593 = _u11594) | ~c_Fun_Oinj__on(_u11590, _u11591, _u11592, c_Orderings_Otop__class_Otop(tc_fun(_u11590, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11595, _u11596, _u11597, c_Orderings_Otop__class_Otop(tc_fun(_u11595, tc_HOL_Obool))) | ( hAPP(_u11597, _u11598) != hAPP(_u11597, _u11599)) | ( _u11598 = _u11599) )).
% 28.96/29.20 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u11595, _u11596, _u11597, c_Orderings_Otop__class_Otop(tc_fun(_u11595, tc_HOL_Obool))) | ( _u11598 != _u11599) | ( hAPP(_u11597, _u11598) = hAPP(_u11597, _u11599)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 28.96/29.20 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))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u11600, _u11601, hAPP(hAPP(c_COMBB(_u11602, _u11601, _u11600), _u11603), _u11604)), c_Orderings_Otop__class_Otop(tc_fun(_u11600, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u11602, _u11601, _u11603), hAPP(c_Set_Oimage(_u11600, _u11602, _u11604), c_Orderings_Otop__class_Otop(tc_fun(_u11600, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u11605), c_Orderings_Otop__class_Otop(tc_fun(_u11605, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11605, tc_HOL_Obool), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 28.96/29.20 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)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u11606) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u11607, _u11606)), _u11608) = c_Orderings_Otop__class_Otop(_u11606)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 28.96/29.20 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) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11609), _u11610), c_Orderings_Otop__class_Otop(tc_fun(_u11609, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11611, _u11612, _u11613, _u11614, c_Orderings_Obot__class_Obot(tc_fun(_u11611, tc_HOL_Obool))), _u11614)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11615, _u11616, _u11617, _u11618, c_Orderings_Obot__class_Obot(tc_fun(_u11615, tc_HOL_Obool))), _u11618)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u11623 = _u11622) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11619, _u11620, _u11621, _u11622, c_Orderings_Obot__class_Obot(tc_fun(_u11619, tc_HOL_Obool))), _u11623)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u11624, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u11624, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u11625, _u11626, c_Orderings_Otop__class_Otop(tc_fun(_u11625, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11626, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u11625, _u11626), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u11627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11627), _u11628), c_Orderings_Otop__class_Otop(_u11627))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 28.96/29.20 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)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 28.96/29.20 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)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u11629) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11629), c_Orderings_Otop__class_Otop(tc_fun(_u11629, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u11631)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u11631), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11631), c_Orderings_Otop__class_Otop(tc_fun(_u11631, tc_HOL_Obool)))) )).
% 28.96/29.20 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11632), c_Orderings_Otop__class_Otop(tc_fun(_u11632, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u11632)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u11632), tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u11635, _u11637)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u11635, _u11637), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11635), c_Orderings_Otop__class_Otop(tc_fun(_u11635, tc_HOL_Obool)))) )).
% 28.96/29.20 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u11635, _u11637)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u11635, _u11637), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11637), c_Orderings_Otop__class_Otop(tc_fun(_u11637, tc_HOL_Obool)))) )).
% 28.96/29.20 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11636), c_Orderings_Otop__class_Otop(tc_fun(_u11636, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11638), c_Orderings_Otop__class_Otop(tc_fun(_u11638, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u11636, _u11638)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u11636, _u11638), tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u11640), c_Orderings_Otop__class_Otop(tc_fun(_u11640, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11639, _u11640)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11639, _u11640), tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11641), c_Orderings_Otop__class_Otop(tc_fun(_u11641, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11642), c_Orderings_Otop__class_Otop(tc_fun(_u11642, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11641, _u11642)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u11641, _u11642), tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11643, _u11644, _u11645, _u11646, _u11647), _u11648)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11643), _u11647)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11649, tc_HOL_Obool)), _u11650), c_Orderings_Otop__class_Otop(tc_fun(_u11649, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11651, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11651, tc_HOL_Obool))), _u11652) = c_Orderings_Otop__class_Otop(tc_fun(_u11651, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11653, tc_HOL_Obool)), _u11654), c_Orderings_Otop__class_Otop(tc_fun(_u11653, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11653, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11655, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11655, tc_HOL_Obool))), _u11656) = _u11656) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11657, tc_HOL_Obool)), _u11658), c_Orderings_Otop__class_Otop(tc_fun(_u11657, tc_HOL_Obool))) = _u11658) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11659) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11659), _u11660), _u11661) != c_Orderings_Otop__class_Otop(_u11659)) | ( _u11660 = c_Orderings_Otop__class_Otop(_u11659)) )).
% 28.96/29.20 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11659) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11659), _u11660), _u11661) != c_Orderings_Otop__class_Otop(_u11659)) | ( _u11661 = c_Orderings_Otop__class_Otop(_u11659)) )).
% 28.96/29.20 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11659) | ( _u11660 != c_Orderings_Otop__class_Otop(_u11659)) | ( _u11661 != c_Orderings_Otop__class_Otop(_u11659)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11659), _u11660), _u11661) = c_Orderings_Otop__class_Otop(_u11659)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11662) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11662), _u11663), c_Orderings_Otop__class_Otop(_u11662)) = _u11663) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11664) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11664), c_Orderings_Otop__class_Otop(_u11664)), _u11665) = _u11665) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11666) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11666), _u11667), c_Orderings_Otop__class_Otop(_u11666)) = c_Orderings_Otop__class_Otop(_u11666)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u11668) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11668), c_Orderings_Otop__class_Otop(_u11668)), _u11669) = c_Orderings_Otop__class_Otop(_u11668)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 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))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_range__eqI-1, axiom, ( ( _u11670 != hAPP(_u11671, _u11672)) | hBOOL(hAPP(hAPP(c_member(_u11673), _u11670), hAPP(c_Set_Oimage(_u11674, _u11673, _u11671), c_Orderings_Otop__class_Otop(tc_fun(_u11674, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11675), hAPP(_u11676, _u11677)), hAPP(c_Set_Oimage(_u11678, _u11675, _u11676), c_Orderings_Otop__class_Otop(tc_fun(_u11678, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 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))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11679, tc_HOL_Obool)), _u11680), c_Orderings_Otop__class_Otop(tc_fun(_u11679, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11679, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u11681, _u11682, _u11683), c_Orderings_Otop__class_Otop(tc_fun(_u11681, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11682, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11682, _u11684, _u11685), c_Orderings_Otop__class_Otop(tc_fun(_u11682, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11684, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11681, _u11684, hAPP(c_Fun_Ocomp(_u11682, _u11684, _u11681, _u11685), _u11683)), c_Orderings_Otop__class_Otop(tc_fun(_u11681, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11684, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11686), c_Orderings_Otop__class_Otop(tc_fun(_u11686, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u11686), _u11687) != hAPP(c_Finite__Set_Ocard(_u11686), c_Orderings_Otop__class_Otop(tc_fun(_u11686, tc_HOL_Obool)))) | ( _u11687 = c_Orderings_Otop__class_Otop(tc_fun(_u11686, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11688, _u11689, _u11690, c_Orderings_Otop__class_Otop(tc_fun(_u11688, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11688, _u11689, _u11690), _u11691) != hAPP(c_Set_Oimage(_u11688, _u11689, _u11690), _u11692)) | ( _u11691 = _u11692) )).
% 28.96/29.20 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11688, _u11689, _u11690, c_Orderings_Otop__class_Otop(tc_fun(_u11688, tc_HOL_Obool))) | ( _u11691 != _u11692) | ( hAPP(c_Set_Oimage(_u11688, _u11689, _u11690), _u11691) = hAPP(c_Set_Oimage(_u11688, _u11689, _u11690), _u11692)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u11693, _u11694, _u11695, c_Orderings_Otop__class_Otop(tc_fun(_u11693, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11696, _u11693, _u11697, c_Orderings_Otop__class_Otop(tc_fun(_u11696, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11696, _u11694, hAPP(c_Fun_Ocomp(_u11693, _u11694, _u11696, _u11695), _u11697), c_Orderings_Otop__class_Otop(tc_fun(_u11696, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11698, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11698, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11698, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11699, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11699, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11699, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), _u11701)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11700, tc_HOL_Obool)), _u11701))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), c_Orderings_Otop__class_Otop(tc_fun(_u11700, tc_HOL_Obool)))) )).
% 28.96/29.20 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), _u11701)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), c_Orderings_Otop__class_Otop(tc_fun(_u11700, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11700, tc_HOL_Obool)), _u11701))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11702, tc_HOL_Obool)), _u11703), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11702, tc_HOL_Obool)), _u11703)) = c_Orderings_Otop__class_Otop(tc_fun(_u11702, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11704, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11704, tc_HOL_Obool)), _u11705)), _u11705) = c_Orderings_Otop__class_Otop(tc_fun(_u11704, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11706, tc_HOL_Obool)), _u11707) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11706, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11706, tc_HOL_Obool))), _u11707)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11708), _u11709), _u11710)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11708, _u11711, _u11712, _u11713, _u11710), _u11714)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11708, _u11711, _u11712, _u11713, hAPP(hAPP(c_Set_Oinsert(_u11708), _u11709), _u11710)), hAPP(hAPP(_u11712, _u11709), _u11714))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11719, tc_fun(_u11721, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11719, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11721, tc_HOL_Obool), tc_fun(_u11721, tc_HOL_Obool), _u11719), hAPP(c_COMBC(_u11721, tc_fun(_u11721, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11721))), _u11723)), _u11725)) | hBOOL(hAPP(hAPP(c_member(_u11721), _u11725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11719, tc_fun(_u11721, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11719, tc_HOL_Obool))), _u11723))) )).
% 28.96/29.20 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11722), _u11726), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11720, tc_fun(_u11722, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11720, tc_HOL_Obool))), _u11724))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11720, tc_fun(_u11722, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11720, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11722, tc_HOL_Obool), tc_fun(_u11722, tc_HOL_Obool), _u11720), hAPP(c_COMBC(_u11722, tc_fun(_u11722, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11722))), _u11724)), _u11726)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11727), hAPP(c_Set_Oimage(_u11728, _u11727, _u11729), c_Orderings_Otop__class_Otop(tc_fun(_u11728, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11730), hAPP(c_Set_Oimage(_u11728, _u11730, hAPP(hAPP(c_COMBB(_u11727, _u11730, _u11728), _u11731), _u11729)), c_Orderings_Otop__class_Otop(tc_fun(_u11728, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u11732, _u11733, _u11734, c_Orderings_Otop__class_Otop(tc_fun(_u11732, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u11732, _u11733, c_Orderings_Otop__class_Otop(tc_fun(_u11732, tc_HOL_Obool)), _u11734), hAPP(_u11734, _u11735)) = _u11735) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11736, _u11737)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11736, _u11737), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u11737), c_Orderings_Otop__class_Otop(tc_fun(_u11737, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11736), c_Orderings_Otop__class_Otop(tc_fun(_u11736, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u11738) | c_Fun_Oinj__on(tc_Nat_Onat, _u11738, c_Nat_Osemiring__1__class_Oof__nat(_u11738), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 28.96/29.20 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))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u11739, _u11740, _u11741, c_Orderings_Otop__class_Otop(tc_fun(_u11739, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11739, tc_fun(_u11742, _u11740), hAPP(hAPP(c_COMBB(_u11740, tc_fun(_u11742, _u11740), _u11739), c_COMBK(_u11740, _u11742)), _u11741), c_Orderings_Otop__class_Otop(tc_fun(_u11739, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u11743) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11743), c_Orderings_Otop__class_Otop(_u11743)) = c_Orderings_Obot__class_Obot(_u11743)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u11744) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11744), c_Orderings_Obot__class_Obot(_u11744)) = c_Orderings_Otop__class_Otop(_u11744)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u11745) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11745), hAPP(c_Groups_Ouminus__class_Ouminus(_u11745), _u11746)), _u11746) = c_Orderings_Otop__class_Otop(_u11745)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u11747) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11747), _u11748), hAPP(c_Groups_Ouminus__class_Ouminus(_u11747), _u11748)) = c_Orderings_Otop__class_Otop(_u11747)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11753, _u11754, _u11755, c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11754), _u11756), hAPP(c_Set_Oimage(_u11753, _u11754, _u11755), c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))))) | ( _u11756 = hAPP(_u11755, skolem258(_u11756, _u11755, _u11754, _u11753))) )).
% 28.96/29.20 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u11753, _u11754, _u11755, c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11754), _u11756), hAPP(c_Set_Oimage(_u11753, _u11754, _u11755), c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))))) | ( _u11756 != hAPP(_u11755, _u11749)) | ( _u11749 = skolem258(_u11756, _u11755, _u11754, _u11753)) )).
% 28.96/29.20 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u11753, _u11754, _u11755, c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11754), _u11756), hAPP(c_Set_Oimage(_u11753, _u11754, _u11755), c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))))) | ( _u11756 != hAPP(_u11755, _u11752)) | ( _u11756 = hAPP(_u11755, skolem259(_u11756, _u11755, _u11754, _u11753, _u11752))) )).
% 28.96/29.20 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u11753, _u11754, _u11755, c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11754), _u11756), hAPP(c_Set_Oimage(_u11753, _u11754, _u11755), c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))))) | ( _u11756 != hAPP(_u11755, _u11752)) | ( skolem259(_u11756, _u11755, _u11754, _u11753, _u11752) != _u11752) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11757, _u11758, _u11759, c_Orderings_Otop__class_Otop(tc_fun(_u11757, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11758), hAPP(_u11759, _u11760)), hAPP(c_Set_Oimage(_u11757, _u11758, _u11759), _u11761))) | hBOOL(hAPP(hAPP(c_member(_u11757), _u11760), _u11761)) )).
% 28.96/29.20 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11757, _u11758, _u11759, c_Orderings_Otop__class_Otop(tc_fun(_u11757, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11757), _u11760), _u11761)) | hBOOL(hAPP(hAPP(c_member(_u11758), hAPP(_u11759, _u11760)), hAPP(c_Set_Oimage(_u11757, _u11758, _u11759), _u11761))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11762), c_Orderings_Otop__class_Otop(tc_fun(_u11762, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u11762, _u11762, _u11763), c_Orderings_Otop__class_Otop(tc_fun(_u11762, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11762, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11762, _u11762, _u11763, c_Orderings_Otop__class_Otop(tc_fun(_u11762, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11764), c_Orderings_Otop__class_Otop(tc_fun(_u11764, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u11764, _u11764, _u11765, c_Orderings_Otop__class_Otop(tc_fun(_u11764, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11764, _u11764, _u11765), c_Orderings_Otop__class_Otop(tc_fun(_u11764, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11764, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11766, _u11767, _u11768, c_Orderings_Otop__class_Otop(tc_fun(_u11766, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11767, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11766, _u11767, _u11768), _u11769)), hAPP(c_Set_Oimage(_u11766, _u11767, _u11768), _u11770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11766, tc_HOL_Obool)), _u11769), _u11770)) )).
% 28.96/29.20 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11766, _u11767, _u11768, c_Orderings_Otop__class_Otop(tc_fun(_u11766, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11766, tc_HOL_Obool)), _u11769), _u11770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11767, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11766, _u11767, _u11768), _u11769)), hAPP(c_Set_Oimage(_u11766, _u11767, _u11768), _u11770))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11771, _u11772, _u11773, c_Orderings_Otop__class_Otop(tc_fun(_u11771, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11771, _u11772, _u11773), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11771, tc_HOL_Obool)), _u11774), _u11775)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11772, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11771, _u11772, _u11773), _u11774)), hAPP(c_Set_Oimage(_u11771, _u11772, _u11773), _u11775))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11776, _u11777, _u11778, c_Orderings_Otop__class_Otop(tc_fun(_u11776, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11776, _u11777, _u11778), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11776, tc_HOL_Obool)), _u11779), _u11780)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11777, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11776, _u11777, _u11778), _u11779)), hAPP(c_Set_Oimage(_u11776, _u11777, _u11778), _u11780))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u11781, _u11782, _u11783), c_Orderings_Otop__class_Otop(tc_fun(_u11781, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11782, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11782, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11782, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11781, _u11782, _u11783), _u11784))), hAPP(c_Set_Oimage(_u11781, _u11782, _u11783), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11781, tc_HOL_Obool)), _u11784)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u11785) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11785, _u11785, c_Groups_Otimes__class_Otimes(_u11785), _u11786, _u11787), _u11788)) | hBOOL(hAPP(hAPP(c_member(_u11785), _u11786), _u11787)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11785, _u11785, c_Groups_Otimes__class_Otimes(_u11785), _u11789, hAPP(hAPP(c_Set_Oinsert(_u11785), _u11786), _u11787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11785), _u11789), _u11788))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11790, 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(_u11790, tc_HOL_Obool)), tc_fun(_u11790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u11790, tc_HOL_Obool)), tc_fun(_u11790, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11790, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u11791)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11790, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11791)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u11792, tc_fun(_u11792, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11792, tc_fun(_u11792, tc_HOL_Obool), tc_fun(_u11792, tc_HOL_Obool)), c_Set_Oinsert(_u11792)), c_Orderings_Obot__class_Obot(tc_fun(_u11792, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11792, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11793), c_Orderings_Otop__class_Otop(tc_fun(_u11793, 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(_u11793), c_Orderings_Otop__class_Otop(tc_fun(_u11793, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 28.96/29.20 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)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u11794, _u11795, _u11796, c_Orderings_Otop__class_Otop(tc_fun(_u11794, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11795, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11794, _u11795, _u11796), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11794, tc_HOL_Obool)), _u11797))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11795, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11794, _u11795, _u11796), _u11797)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11798, _u11799, _u11800, _u11801, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11798, tc_HOL_Obool)), _u11802), hAPP(hAPP(c_Set_Oinsert(_u11798), _u11803), c_Orderings_Obot__class_Obot(tc_fun(_u11798, tc_HOL_Obool))))), _u11804)) | ~hBOOL(hAPP(hAPP(c_member(_u11798), _u11803), _u11802)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11798, _u11799, _u11800, _u11801, _u11802), hAPP(hAPP(_u11800, _u11803), _u11804))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 28.96/29.20 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)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11811, tc_fun(_u11813, tc_fun(_u11815, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11811, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_fun(_u11813, tc_fun(_u11815, tc_HOL_Obool)), _u11811), hAPP(c_COMBC(_u11813, tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_fun(_u11815, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11815, tc_fun(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_fun(_u11815, tc_HOL_Obool)), _u11813), c_COMBC(_u11815, tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11815, tc_prod(_u11813, _u11815)), tc_fun(_u11815, tc_fun(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_HOL_Obool)), _u11813), hAPP(c_COMBB(tc_prod(_u11813, _u11815), tc_fun(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_HOL_Obool), _u11815), c_member(tc_prod(_u11813, _u11815)))), c_Product__Type_OPair(_u11813, _u11815))))), _u11817)), _u11819), _u11821)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11813, _u11815)), hAPP(hAPP(c_Product__Type_OPair(_u11813, _u11815), _u11819), _u11821)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11811, tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11811, tc_HOL_Obool))), _u11817))) )).
% 28.96/29.20 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11814, _u11816)), hAPP(hAPP(c_Product__Type_OPair(_u11814, _u11816), _u11820), _u11822)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11812, tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11812, tc_HOL_Obool))), _u11818))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11812, tc_fun(_u11814, tc_fun(_u11816, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11812, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_fun(_u11814, tc_fun(_u11816, tc_HOL_Obool)), _u11812), hAPP(c_COMBC(_u11814, tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_fun(_u11816, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11816, tc_fun(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_fun(_u11816, tc_HOL_Obool)), _u11814), c_COMBC(_u11816, tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11816, tc_prod(_u11814, _u11816)), tc_fun(_u11816, tc_fun(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_HOL_Obool)), _u11814), hAPP(c_COMBB(tc_prod(_u11814, _u11816), tc_fun(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_HOL_Obool), _u11816), c_member(tc_prod(_u11814, _u11816)))), c_Product__Type_OPair(_u11814, _u11816))))), _u11818)), _u11820), _u11822)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11823, _u11823, _u11824, _u11825, _u11826), _u11827)) | hBOOL(hAPP(hAPP(c_member(_u11823), _u11825), _u11826)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11823, _u11824, hAPP(hAPP(c_Set_Oinsert(_u11823), _u11825), _u11826)), _u11827)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11829, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11829, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem260(_u11832, _u11831, _u11830, _u11829))), _u11830)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11829, 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), skolem260(_u11832, _u11831, _u11830, _u11829)), _u11831))), _u11832))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11829, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11829, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11830)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11829, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11832))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11834, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem261(_u11837, _u11836, _u11835, _u11834))), _u11835) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11834, 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), skolem261(_u11837, _u11836, _u11835, _u11834)), _u11836))), _u11837)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11834, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11835) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11834, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11837)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_top1I ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u11838, tc_HOL_Obool)), _u11839)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11840, _u11841, c_Orderings_Obot__class_Obot(tc_fun(_u11840, tc_HOL_Obool))), _u11842)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11843, _u11844, _u11845), _u11846)) | ( _u11845 != c_Orderings_Obot__class_Obot(tc_fun(_u11843, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1Set__sing-1, axiom, ( ( _u11855 = _u11857) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11851, _u11853, hAPP(hAPP(c_Set_Oinsert(_u11851), _u11855), c_Orderings_Obot__class_Obot(tc_fun(_u11851, tc_HOL_Obool)))), _u11857)) )).
% 28.96/29.20 cnf(fact_fold1Set__sing-2, axiom, ( ( _u11856 != _u11858) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11852, _u11854, hAPP(hAPP(c_Set_Oinsert(_u11852), _u11856), c_Orderings_Obot__class_Obot(tc_fun(_u11852, tc_HOL_Obool)))), _u11858)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 28.96/29.20 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)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11860, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11860, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem262(_u11862, _u11861, _u11860))), _u11861)), _u11862)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11860, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11860, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11861)), _u11862)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11865, c_Orderings_Otop__class_Otop(tc_fun(_u11865, tc_HOL_Obool)), _u11867) | c_Equiv__Relations_Oequivp(_u11865, hAPP(hAPP(c_COMBC(_u11865, tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_fun(_u11865, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11865, tc_fun(tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_fun(_u11865, tc_HOL_Obool)), _u11865), c_COMBC(_u11865, tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11865, tc_prod(_u11865, _u11865)), tc_fun(_u11865, tc_fun(tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_HOL_Obool)), _u11865), hAPP(c_COMBB(tc_prod(_u11865, _u11865), tc_fun(tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_HOL_Obool), _u11865), c_member(tc_prod(_u11865, _u11865)))), c_Product__Type_OPair(_u11865, _u11865)))), _u11867)) )).
% 28.96/29.20 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u11866, hAPP(hAPP(c_COMBC(_u11866, tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_fun(_u11866, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11866, tc_fun(tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_fun(_u11866, tc_HOL_Obool)), _u11866), c_COMBC(_u11866, tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11866, tc_prod(_u11866, _u11866)), tc_fun(_u11866, tc_fun(tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_HOL_Obool)), _u11866), hAPP(c_COMBB(tc_prod(_u11866, _u11866), tc_fun(tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_HOL_Obool), _u11866), c_member(tc_prod(_u11866, _u11866)))), c_Product__Type_OPair(_u11866, _u11866)))), _u11868)) | c_Equiv__Relations_Oequiv(_u11866, c_Orderings_Otop__class_Otop(tc_fun(_u11866, tc_HOL_Obool)), _u11868) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u11869, c_fequal) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u11884, _u11886) | ~hBOOL(hAPP(hAPP(_u11886, _u11878), _u11876)) | ( hAPP(_u11886, _u11878) = hAPP(_u11886, _u11876)) )).
% 28.96/29.20 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u11884, _u11886) | ( hAPP(_u11886, _u11879) != hAPP(_u11886, _u11877)) | hBOOL(hAPP(hAPP(_u11886, _u11879), _u11877)) )).
% 28.96/29.20 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u11885, _u11887) | hBOOL(hAPP(hAPP(_u11887, skolem263(_u11887)), skolem264(_u11887))) | ( hAPP(_u11887, skolem265(_u11887)) = hAPP(_u11887, skolem266(_u11887))) )).
% 28.96/29.20 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u11885, _u11887) | hBOOL(hAPP(hAPP(_u11887, skolem263(_u11887)), skolem264(_u11887))) | ~hBOOL(hAPP(hAPP(_u11887, skolem265(_u11887)), skolem266(_u11887))) )).
% 28.96/29.20 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u11885, _u11887) | ( hAPP(_u11887, skolem263(_u11887)) != hAPP(_u11887, skolem264(_u11887))) | ( hAPP(_u11887, skolem265(_u11887)) = hAPP(_u11887, skolem266(_u11887))) )).
% 28.96/29.20 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u11885, _u11887) | ( hAPP(_u11887, skolem263(_u11887)) != hAPP(_u11887, skolem264(_u11887))) | ~hBOOL(hAPP(hAPP(_u11887, skolem265(_u11887)), skolem266(_u11887))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u11889, _u11890), _u11890)) | ~c_Equiv__Relations_Oequivp(_u11888, _u11889) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11892, _u11893), _u11894)) | hBOOL(hAPP(hAPP(_u11892, _u11894), _u11893)) | ~c_Equiv__Relations_Oequivp(_u11891, _u11892) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11896, _u11897), _u11898)) | ~hBOOL(hAPP(hAPP(_u11896, _u11898), _u11899)) | hBOOL(hAPP(hAPP(_u11896, _u11897), _u11899)) | ~c_Equiv__Relations_Oequivp(_u11895, _u11896) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 28.96/29.20 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, _u11900)), c_Int_OInteg)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 28.96/29.20 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) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11909), _u11913)) )).
% 28.96/29.20 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11909), _u11915)) )).
% 28.96/29.20 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | ( _u11915 != c_Orderings_Obot__class_Obot(tc_fun(_u11909, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | ~hBOOL(hAPP(hAPP(c_member(_u11909), _u11902), _u11913)) | hBOOL(hAPP(hAPP(c_member(_u11909), skolem267(_u11915, _u11913, _u11911, _u11909, _u11902)), _u11915)) )).
% 28.96/29.20 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | ~hBOOL(hAPP(hAPP(c_member(_u11909), _u11902), _u11913)) | hBOOL(hAPP(hAPP(_u11911, _u11902), skolem267(_u11915, _u11913, _u11911, _u11909, _u11902))) )).
% 28.96/29.20 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u11910, _u11912, _u11914, _u11916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11910), _u11914)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11910), _u11916)) | ( _u11916 = c_Orderings_Obot__class_Obot(tc_fun(_u11910, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11910), skolem268(_u11916, _u11914, _u11912, _u11910)), _u11914)) )).
% 28.96/29.20 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u11910, _u11912, _u11914, _u11916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11910), _u11914)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11910), _u11916)) | ( _u11916 = c_Orderings_Obot__class_Obot(tc_fun(_u11910, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11910), _u11903), _u11916)) | ~hBOOL(hAPP(hAPP(_u11912, skolem268(_u11916, _u11914, _u11912, _u11910)), _u11903)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11920)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11921)) | ( _u11921 = c_Orderings_Obot__class_Obot(tc_fun(_u11919, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11919, tc_HOL_Obool), tc_fun(_u11919, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11919, tc_HOL_Obool), tc_fun(_u11919, tc_HOL_Obool)), _u11920), _u11921)), c_Wellfounded_Omax__ext(_u11919, _u11922))) | hBOOL(hAPP(hAPP(c_member(_u11919), skolem269(_u11922, _u11921, _u11920, _u11919)), _u11920)) )).
% 28.96/29.20 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11920)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11921)) | ( _u11921 = c_Orderings_Obot__class_Obot(tc_fun(_u11919, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11919, tc_HOL_Obool), tc_fun(_u11919, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11919, tc_HOL_Obool), tc_fun(_u11919, tc_HOL_Obool)), _u11920), _u11921)), c_Wellfounded_Omax__ext(_u11919, _u11922))) | ~hBOOL(hAPP(hAPP(c_member(_u11919), _u11917), _u11921)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11919, _u11919)), hAPP(hAPP(c_Product__Type_OPair(_u11919, _u11919), skolem269(_u11922, _u11921, _u11920, _u11919)), _u11917)), _u11922)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u11923, _u11924, _u11925, _u11926, _u11927) | ( hAPP(c_Set_Oimage(_u11923, _u11924, _u11925), c_Orderings_Otop__class_Otop(tc_fun(_u11923, tc_HOL_Obool))) = _u11927) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u11928, _u11929, _u11930, _u11931, _u11932) | ( hAPP(c_Set_Oimage(_u11929, _u11928, _u11931), _u11932) = c_Orderings_Otop__class_Otop(tc_fun(_u11928, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11934), hAPP(_u11935, _u11938)), _u11937)) | ~c_Typedef_Otype__definition(_u11933, _u11934, _u11935, _u11936, _u11937) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u11939, _u11940, _u11941, _u11942, _u11943) | ( hAPP(_u11941, _u11944) != hAPP(_u11941, _u11945)) | ( _u11944 = _u11945) )).
% 28.96/29.20 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u11939, _u11940, _u11941, _u11942, _u11943) | ( _u11944 != _u11945) | ( hAPP(_u11941, _u11944) = hAPP(_u11941, _u11945)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u11949, hAPP(_u11948, _u11951)) = _u11951) | ~c_Typedef_Otype__definition(_u11946, _u11947, _u11948, _u11949, _u11950) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u11952, _u11953, _u11954, _u11955, _u11956) | ~hBOOL(hAPP(hAPP(c_member(_u11953), _u11957), _u11956)) | ~hBOOL(hAPP(hAPP(c_member(_u11953), _u11958), _u11956)) | ( hAPP(_u11955, _u11957) != hAPP(_u11955, _u11958)) | ( _u11957 = _u11958) )).
% 28.96/29.20 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u11952, _u11953, _u11954, _u11955, _u11956) | ~hBOOL(hAPP(hAPP(c_member(_u11953), _u11957), _u11956)) | ~hBOOL(hAPP(hAPP(c_member(_u11953), _u11958), _u11956)) | ( _u11957 != _u11958) | ( hAPP(_u11955, _u11957) = hAPP(_u11955, _u11958)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11960), _u11964), _u11963)) | ( hAPP(_u11961, hAPP(_u11962, _u11964)) = _u11964) | ~c_Typedef_Otype__definition(_u11959, _u11960, _u11961, _u11962, _u11963) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u11965) = c_Nitpick_OAbs__Frac(_u11965, 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)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11975, _u11977, hAPP(hAPP(c_Set_Oinsert(_u11975), _u11979), _u11981)), _u11983)) | ( hAPP(hAPP(c_Set_Oinsert(_u11975), _u11979), _u11981) = hAPP(hAPP(c_Set_Oinsert(_u11975), skolem270(_u11983, _u11981, _u11979, _u11977, _u11975)), skolem271(_u11983, _u11981, _u11979, _u11977, _u11975))) )).
% 28.96/29.20 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11975, _u11977, hAPP(hAPP(c_Set_Oinsert(_u11975), _u11979), _u11981)), _u11983)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11975, _u11975, _u11977, skolem270(_u11983, _u11981, _u11979, _u11977, _u11975), skolem271(_u11983, _u11981, _u11979, _u11977, _u11975)), _u11983)) )).
% 28.96/29.20 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11975, _u11977, hAPP(hAPP(c_Set_Oinsert(_u11975), _u11979), _u11981)), _u11983)) | ~hBOOL(hAPP(hAPP(c_member(_u11975), skolem270(_u11983, _u11981, _u11979, _u11977, _u11975)), skolem271(_u11983, _u11981, _u11979, _u11977, _u11975))) )).
% 28.96/29.20 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u11976), _u11980), _u11982) != hAPP(hAPP(c_Set_Oinsert(_u11976), _u11969), _u11968)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11976, _u11976, _u11978, _u11969, _u11968), _u11984)) | hBOOL(hAPP(hAPP(c_member(_u11976), _u11969), _u11968)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11976, _u11978, hAPP(hAPP(c_Set_Oinsert(_u11976), _u11980), _u11982)), _u11984)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11987, _u11988, hAPP(hAPP(c_Set_Oinsert(_u11987), _u11989), _u11990)), _u11991)) | ( hAPP(hAPP(c_Set_Oinsert(_u11987), _u11989), _u11990) = hAPP(hAPP(c_Set_Oinsert(_u11987), skolem272(_u11991, _u11990, _u11989, _u11988, _u11987)), skolem273(_u11991, _u11990, _u11989, _u11988, _u11987))) )).
% 28.96/29.20 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11987, _u11988, hAPP(hAPP(c_Set_Oinsert(_u11987), _u11989), _u11990)), _u11991)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11987, _u11987, _u11988, skolem272(_u11991, _u11990, _u11989, _u11988, _u11987), skolem273(_u11991, _u11990, _u11989, _u11988, _u11987)), _u11991)) )).
% 28.96/29.20 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11987, _u11988, hAPP(hAPP(c_Set_Oinsert(_u11987), _u11989), _u11990)), _u11991)) | ~hBOOL(hAPP(hAPP(c_member(_u11987), skolem272(_u11991, _u11990, _u11989, _u11988, _u11987)), skolem273(_u11991, _u11990, _u11989, _u11988, _u11987))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u11992) = c_Nitpick_OAbs__Frac(_u11992, 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)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u11993, _u11994) = c_Nitpick_OAbs__Frac(_u11993, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11994), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u11995), _u11996), _u11997) = c_Nitpick_OAbs__Frac(_u11995, c_Nitpick_Onorm__frac(_u11996, _u11997))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u11998, _u11999) = c_HOL_OThe(_u11998, hAPP(hAPP(c_COMBB(tc_fun(_u11998, tc_HOL_Obool), tc_HOL_Obool, _u11998), hAPP(c_fequal, _u11999)), hAPP(hAPP(c_COMBC(_u11998, tc_fun(_u11998, tc_HOL_Obool), tc_fun(_u11998, tc_HOL_Obool)), c_Set_Oinsert(_u11998)), c_Orderings_Obot__class_Obot(tc_fun(_u11998, tc_HOL_Obool)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u12000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12000), _u12001)) | ( _u12001 = c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12000), _u12002)) | ( _u12002 = c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12000, tc_HOL_Obool)), _u12001), _u12002) != c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u12000, c_Groups_Otimes__class_Otimes(_u12000)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12000, tc_HOL_Obool)), _u12001), _u12002)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12000), hAPP(c_Finite__Set_Ofold1(_u12000, c_Groups_Otimes__class_Otimes(_u12000)), _u12001)), hAPP(c_Finite__Set_Ofold1(_u12000, c_Groups_Otimes__class_Otimes(_u12000)), _u12002))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u12003) | ( _u12004 = c_Orderings_Obot__class_Obot(tc_fun(_u12003, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12003, tc_HOL_Obool)), _u12004), _u12005)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12003), _u12005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12003), hAPP(c_Finite__Set_Ofold1(_u12003, c_Orderings_Oord__class_Omin(_u12003)), _u12005)), hAPP(c_Finite__Set_Ofold1(_u12003, c_Orderings_Oord__class_Omin(_u12003)), _u12004))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u12006, _u12007), _u12008) = c_HOL_OThe(_u12006, c_Finite__Set_Ofold1Set(_u12006, _u12007, _u12008))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u12009 != c_Finite__Set_Ofold1(_u12010, _u12011)) | ( hAPP(_u12009, hAPP(hAPP(c_Set_Oinsert(_u12010), _u12012), c_Orderings_Obot__class_Obot(tc_fun(_u12010, tc_HOL_Obool)))) = _u12012) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u12013, _u12014), hAPP(hAPP(c_Set_Oinsert(_u12013), _u12015), c_Orderings_Obot__class_Obot(tc_fun(_u12013, tc_HOL_Obool)))) = _u12015) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u12016, _u12017, _u12018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12016), _u12019)) | ( hAPP(_u12018, _u12019) = hAPP(c_Finite__Set_Ofold1(_u12016, _u12017), _u12019)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u12020, _u12021), hAPP(c_Product__Type_Oprod_Oprod__case(_u12020, _u12021, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12020, tc_fun(_u12021, tc_HOL_Obool), tc_fun(_u12021, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12021, tc_HOL_Obool), tc_fun(_u12021, tc_HOL_Obool)), _u12020), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12021)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12020), c_fconj), hAPP(c_fequal, _u12022)))), hAPP(c_fequal, _u12023)))) = hAPP(hAPP(c_Product__Type_OPair(_u12020, _u12021), _u12022), _u12023)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u12024, _u12025), _u12026) = c_HOL_OThe(tc_prod(_u12024, _u12025), hAPP(c_Product__Type_Oprod_Oprod__case(_u12024, _u12025, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12025, tc_prod(_u12024, _u12025)), tc_fun(_u12025, tc_HOL_Obool), _u12024), hAPP(c_COMBB(tc_prod(_u12024, _u12025), tc_HOL_Obool, _u12025), _u12026)), c_Product__Type_OPair(_u12024, _u12025))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u12027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12027), _u12028)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u12027, _u12028) = hAPP(c_Finite__Set_Ofold1(_u12027, c_Lattices_Osemilattice__sup__class_Osup(_u12027)), _u12028)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u12029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12029), _u12030)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12029, _u12030) = hAPP(c_Finite__Set_Ofold1(_u12029, c_Lattices_Osemilattice__inf__class_Oinf(_u12029)), _u12030)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u12031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12031), _u12032)) | ( c_Big__Operators_Olinorder__class_OMin(_u12031, _u12032) = hAPP(c_Finite__Set_Ofold1(_u12031, c_Orderings_Oord__class_Omin(_u12031)), _u12032)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u12033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12033), _u12034)) | ( c_Big__Operators_Olinorder__class_OMax(_u12033, _u12034) = hAPP(c_Finite__Set_Ofold1(_u12033, c_Orderings_Oord__class_Omax(_u12033)), _u12034)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u12035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12035), _u12036)) | ( c_Big__Operators_Olattice_OInf__fin(_u12035, c_Orderings_Oord__class_Omin(_u12035), _u12036) = hAPP(c_Finite__Set_Ofold1(_u12035, c_Orderings_Oord__class_Omin(_u12035)), _u12036)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u12037) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12037), _u12038)) | ( c_Big__Operators_Olattice_OSup__fin(_u12037, c_Orderings_Oord__class_Omax(_u12037), _u12038) = hAPP(c_Finite__Set_Ofold1(_u12037, c_Orderings_Oord__class_Omax(_u12037)), _u12038)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u12039, _u12040, _u12041, _u12042), _u12043) = c_HOL_OThe(_u12039, hAPP(hAPP(c_COMBS(_u12039, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12039), c_fconj), hAPP(hAPP(c_COMBC(_u12039, tc_fun(_u12039, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12039)), _u12041))), hAPP(hAPP(c_COMBC(_u12039, _u12040, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12040, tc_fun(_u12040, tc_HOL_Obool), _u12039), c_fequal), _u12042)), _u12043)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u12044, _u12045) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u12044, _u12045))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12046), _u12047)) | ~hBOOL(hAPP(hAPP(c_member(_u12046), _u12048), _u12047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12046), hAPP(c_Finite__Set_Ofold1(_u12046, c_Lattices_Osemilattice__inf__class_Oinf(_u12046)), _u12047)), _u12048)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12051) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12051), _u12052)) | ( _u12052 = c_Orderings_Obot__class_Obot(tc_fun(_u12051, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), hAPP(c_Finite__Set_Ofold1(_u12051, c_Lattices_Osemilattice__inf__class_Oinf(_u12051)), _u12052))) | ~hBOOL(hAPP(hAPP(c_member(_u12051), _u12049), _u12052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), _u12049)) )).
% 28.96/29.20 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u12051) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12051), _u12052)) | ( _u12052 = c_Orderings_Obot__class_Obot(tc_fun(_u12051, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), hAPP(c_Finite__Set_Ofold1(_u12051, c_Lattices_Osemilattice__inf__class_Oinf(_u12051)), _u12052))) | hBOOL(hAPP(hAPP(c_member(_u12051), skolem274(_u12053, _u12052, _u12051)), _u12052)) )).
% 28.96/29.20 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u12051) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12051), _u12052)) | ( _u12052 = c_Orderings_Obot__class_Obot(tc_fun(_u12051, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), hAPP(c_Finite__Set_Ofold1(_u12051, c_Lattices_Osemilattice__inf__class_Oinf(_u12051)), _u12052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), skolem274(_u12053, _u12052, _u12051))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u12054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12054), _u12055)) | ~hBOOL(hAPP(hAPP(c_member(_u12054), _u12056), _u12055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12054), hAPP(c_Finite__Set_Ofold1(_u12054, c_Orderings_Oord__class_Omin(_u12054)), _u12055)), _u12056)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12057) | ( _u12058 = c_Orderings_Obot__class_Obot(tc_fun(_u12057, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12057), _u12058)) | ( hAPP(c_Finite__Set_Ofold1(_u12057, c_Groups_Otimes__class_Otimes(_u12057)), hAPP(hAPP(c_Set_Oinsert(_u12057), _u12059), _u12058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12057), _u12059), hAPP(c_Finite__Set_Ofold1(_u12057, c_Groups_Otimes__class_Otimes(_u12057)), _u12058))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12062), _u12063)) | ( _u12063 = c_Orderings_Obot__class_Obot(tc_fun(_u12062, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), hAPP(c_Finite__Set_Ofold1(_u12062, c_Orderings_Oord__class_Omin(_u12062)), _u12063)), _u12064)) | hBOOL(hAPP(hAPP(c_member(_u12062), skolem275(_u12064, _u12063, _u12062)), _u12063)) )).
% 28.96/29.20 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12062), _u12063)) | ( _u12063 = c_Orderings_Obot__class_Obot(tc_fun(_u12062, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), hAPP(c_Finite__Set_Ofold1(_u12062, c_Orderings_Oord__class_Omin(_u12062)), _u12063)), _u12064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), skolem275(_u12064, _u12063, _u12062)), _u12064)) )).
% 28.96/29.20 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u12062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12062), _u12063)) | ( _u12063 = c_Orderings_Obot__class_Obot(tc_fun(_u12062, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12062), _u12061), _u12063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), _u12061), _u12064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), hAPP(c_Finite__Set_Ofold1(_u12062, c_Orderings_Oord__class_Omin(_u12062)), _u12063)), _u12064)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12067), _u12068)) | ( _u12068 = c_Orderings_Obot__class_Obot(tc_fun(_u12067, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), hAPP(c_Finite__Set_Ofold1(_u12067, c_Orderings_Oord__class_Omin(_u12067)), _u12068))) | ~hBOOL(hAPP(hAPP(c_member(_u12067), _u12065), _u12068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), _u12065)) )).
% 28.96/29.20 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12067), _u12068)) | ( _u12068 = c_Orderings_Obot__class_Obot(tc_fun(_u12067, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), hAPP(c_Finite__Set_Ofold1(_u12067, c_Orderings_Oord__class_Omin(_u12067)), _u12068))) | hBOOL(hAPP(hAPP(c_member(_u12067), skolem276(_u12069, _u12068, _u12067)), _u12068)) )).
% 28.96/29.20 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u12067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12067), _u12068)) | ( _u12068 = c_Orderings_Obot__class_Obot(tc_fun(_u12067, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), hAPP(c_Finite__Set_Ofold1(_u12067, c_Orderings_Oord__class_Omin(_u12067)), _u12068))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), skolem276(_u12069, _u12068, _u12067))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12070) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12070), _u12071)) | ( _u12071 = c_Orderings_Obot__class_Obot(tc_fun(_u12070, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12070), _u12072)) | ( _u12072 = c_Orderings_Obot__class_Obot(tc_fun(_u12070, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u12070, c_Groups_Otimes__class_Otimes(_u12070)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12070, tc_HOL_Obool)), _u12071), _u12072)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12070), hAPP(c_Finite__Set_Ofold1(_u12070, c_Groups_Otimes__class_Otimes(_u12070)), _u12071)), hAPP(c_Finite__Set_Ofold1(_u12070, c_Groups_Otimes__class_Otimes(_u12070)), _u12072))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12075), _u12076)) | ( _u12076 = c_Orderings_Obot__class_Obot(tc_fun(_u12075, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), hAPP(c_Finite__Set_Ofold1(_u12075, c_Orderings_Oord__class_Omin(_u12075)), _u12076)), _u12077)) | hBOOL(hAPP(hAPP(c_member(_u12075), skolem277(_u12077, _u12076, _u12075)), _u12076)) )).
% 28.96/29.20 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12075), _u12076)) | ( _u12076 = c_Orderings_Obot__class_Obot(tc_fun(_u12075, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), hAPP(c_Finite__Set_Ofold1(_u12075, c_Orderings_Oord__class_Omin(_u12075)), _u12076)), _u12077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), skolem277(_u12077, _u12076, _u12075)), _u12077)) )).
% 28.96/29.20 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u12075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12075), _u12076)) | ( _u12076 = c_Orderings_Obot__class_Obot(tc_fun(_u12075, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12075), _u12074), _u12076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), _u12074), _u12077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), hAPP(c_Finite__Set_Ofold1(_u12075, c_Orderings_Oord__class_Omin(_u12075)), _u12076)), _u12077)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ( _u12081 = c_Orderings_Obot__class_Obot(tc_fun(_u12080, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), hAPP(c_Finite__Set_Ofold1(_u12080, c_Orderings_Oord__class_Omin(_u12080)), _u12081))) | ~hBOOL(hAPP(hAPP(c_member(_u12080), _u12078), _u12081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), _u12078)) )).
% 28.96/29.20 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ( _u12081 = c_Orderings_Obot__class_Obot(tc_fun(_u12080, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), hAPP(c_Finite__Set_Ofold1(_u12080, c_Orderings_Oord__class_Omin(_u12080)), _u12081))) | hBOOL(hAPP(hAPP(c_member(_u12080), skolem278(_u12082, _u12081, _u12080)), _u12081)) )).
% 28.96/29.20 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u12080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ( _u12081 = c_Orderings_Obot__class_Obot(tc_fun(_u12080, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), hAPP(c_Finite__Set_Ofold1(_u12080, c_Orderings_Oord__class_Omin(_u12080)), _u12081))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), skolem278(_u12082, _u12081, _u12080))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_The__split ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u12083, _u12084), hAPP(c_Product__Type_Oprod_Oprod__case(_u12083, _u12084, tc_HOL_Obool), _u12085)) = c_HOL_OThe(tc_prod(_u12083, _u12084), hAPP(hAPP(c_COMBS(tc_prod(_u12083, _u12084), _u12084, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12083, tc_fun(_u12084, tc_HOL_Obool), tc_prod(_u12083, _u12084)), _u12085), c_Product__Type_Ofst(_u12083, _u12084))), c_Product__Type_Osnd(_u12083, _u12084)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u12086) | ( _u12087 = c_Orderings_Obot__class_Obot(tc_fun(_u12086, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12086), _u12087)) | hBOOL(hAPP(hAPP(c_member(_u12086), _u12088), _u12087)) | ( hAPP(c_Finite__Set_Ofold1(_u12086, c_Groups_Otimes__class_Otimes(_u12086)), hAPP(hAPP(c_Set_Oinsert(_u12086), _u12088), _u12087)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12086), _u12088), hAPP(c_Finite__Set_Ofold1(_u12086, c_Groups_Otimes__class_Otimes(_u12086)), _u12087))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u12089, _u12090, _u12091) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12089), _u12092)) | ( hAPP(_u12091, _u12092) = hAPP(c_Finite__Set_Ofold1(_u12089, _u12090), _u12092)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12096, tc_HOL_Obool)), _u12098), hAPP(hAPP(c_Set_Oinsert(_u12096), _u12100), c_Orderings_Obot__class_Obot(tc_fun(_u12096, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u12096, _u12100, _u12098) = _u12100) )).
% 28.96/29.20 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12097, tc_HOL_Obool)), _u12099), hAPP(hAPP(c_Set_Oinsert(_u12097), _u12101), c_Orderings_Obot__class_Obot(tc_fun(_u12097, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u12097, _u12101, _u12099) = c_HOL_OThe(_u12097, hAPP(hAPP(c_COMBC(_u12097, tc_fun(_u12097, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12097)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12097, tc_HOL_Obool)), _u12099), hAPP(hAPP(c_Set_Oinsert(_u12097), _u12101), c_Orderings_Obot__class_Obot(tc_fun(_u12097, tc_HOL_Obool))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u12104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12104), _u12105)) | ( _u12105 = c_Orderings_Obot__class_Obot(tc_fun(_u12104, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12104), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12104), skolem279(_u12105, _u12104)), skolem280(_u12105, _u12104))), hAPP(hAPP(c_Set_Oinsert(_u12104), skolem279(_u12105, _u12104)), hAPP(hAPP(c_Set_Oinsert(_u12104), skolem280(_u12105, _u12104)), c_Orderings_Obot__class_Obot(tc_fun(_u12104, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u12104), hAPP(c_Finite__Set_Ofold1(_u12104, c_Groups_Otimes__class_Otimes(_u12104)), _u12105)), _u12105)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u12106, _u12107, _u12108, c_Orderings_Otop__class_Otop(tc_fun(_u12106, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12106, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12106, _u12107, _u12108), hAPP(hAPP(c_Set_Oinsert(_u12107), _u12109), c_Orderings_Obot__class_Obot(tc_fun(_u12107, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u12106), c_HOL_OThe(_u12106, hAPP(hAPP(c_COMBC(_u12106, _u12107, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12107, tc_fun(_u12107, tc_HOL_Obool), _u12106), c_fequal), _u12108)), _u12109))), c_Orderings_Obot__class_Obot(tc_fun(_u12106, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12112) | ( hAPP(_u12113, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12112), skolem281(_u12114, _u12113, _u12112)), skolem282(_u12114, _u12113, _u12112))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12112), hAPP(_u12113, skolem281(_u12114, _u12113, _u12112))), hAPP(_u12113, skolem282(_u12114, _u12113, _u12112)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12112), _u12114)) | ( _u12114 = c_Orderings_Obot__class_Obot(tc_fun(_u12112, tc_HOL_Obool))) | ( hAPP(_u12113, hAPP(c_Finite__Set_Ofold1(_u12112, c_Groups_Otimes__class_Otimes(_u12112)), _u12114)) = hAPP(c_Finite__Set_Ofold1(_u12112, c_Groups_Otimes__class_Otimes(_u12112)), hAPP(c_Set_Oimage(_u12112, _u12112, _u12113), _u12114))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12116), _u12117)) | 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(_u12116, tc_Nat_Onat), _u12118), _u12117))) | hBOOL(hAPP(hAPP(c_member(_u12116), skolem283(_u12118, _u12117, _u12116)), _u12117)) )).
% 28.96/29.20 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12116), _u12117)) | 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(_u12116, tc_Nat_Onat), _u12118), _u12117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u12118, skolem283(_u12118, _u12117, _u12116)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u12119, _u12120) != _u12121) | ~hBOOL(hAPP(hAPP(c_member(_u12122), _u12121), _u12123)) | hBOOL(hAPP(hAPP(c_member(_u12124), _u12120), hAPP(c_Set_Ovimage(_u12124, _u12122, _u12119), _u12123))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12125, _u12126, _u12127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12126, tc_HOL_Obool)), _u12128), _u12129)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12125, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12125, _u12126, _u12127), _u12128)), hAPP(c_Set_Ovimage(_u12125, _u12126, _u12127), _u12129))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12130, _u12131, _u12132), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12131, tc_HOL_Obool)), _u12133), _u12134)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12130, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12130, _u12131, _u12132), _u12133)), hAPP(c_Set_Ovimage(_u12130, _u12131, _u12132), _u12134))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12135, tc_HOL_Obool)), _u12136), _u12137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12138, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12138, _u12135, _u12139), _u12136)), hAPP(c_Set_Ovimage(_u12138, _u12135, _u12139), _u12137))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12140, _u12141, hAPP(c_Fun_Ocomp(_u12142, _u12141, _u12140, _u12143), _u12144)), _u12145) = hAPP(c_Set_Ovimage(_u12140, _u12142, _u12144), hAPP(c_Set_Ovimage(_u12142, _u12141, _u12143), _u12145))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12146, _u12147, _u12148), c_Orderings_Obot__class_Obot(tc_fun(_u12147, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12146, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12149, _u12150, _u12151), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12150, tc_HOL_Obool)), _u12152)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12149, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12149, _u12150, _u12151), _u12152))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12153, _u12153, c_COMBI(_u12153)), _u12154) = _u12154) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u12166, hAPP(_u12164, _u12168))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12160, _u12162, _u12164), _u12166), _u12168)) )).
% 28.96/29.20 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u12167, hAPP(_u12165, _u12169))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12161, _u12163, _u12165), _u12167), _u12169)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12170, _u12171, _u12172), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12171, tc_HOL_Obool)), _u12173), _u12174)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12170, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12170, _u12171, _u12172), _u12173)), hAPP(c_Set_Ovimage(_u12170, _u12171, _u12172), _u12174))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12175, _u12176, _u12177), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12178, tc_fun(_u12176, tc_HOL_Obool)), _u12179), _u12180)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12178, tc_fun(_u12175, tc_HOL_Obool)), _u12179), hAPP(hAPP(c_COMBB(tc_fun(_u12176, tc_HOL_Obool), tc_fun(_u12175, tc_HOL_Obool), _u12178), c_Set_Ovimage(_u12175, _u12176, _u12177)), _u12180))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12181, _u12182, _u12183), c_Orderings_Otop__class_Otop(tc_fun(_u12182, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12181, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12184), hAPP(_u12185, _u12186)), _u12187)) | hBOOL(hAPP(hAPP(c_member(_u12188), _u12186), hAPP(c_Set_Ovimage(_u12188, _u12184, _u12185), _u12187))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12191), hAPP(_u12192, _u12190)), _u12193)) | ~hBOOL(hAPP(hAPP(c_member(_u12189), _u12190), hAPP(c_Set_Ovimage(_u12189, _u12191, _u12192), _u12193))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12203), hAPP(_u12205, _u12201)), _u12207)) | ~hBOOL(hAPP(hAPP(c_member(_u12199), _u12201), hAPP(c_Set_Ovimage(_u12199, _u12203, _u12205), _u12207))) )).
% 28.96/29.20 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12204), hAPP(_u12206, _u12202)), _u12208)) | hBOOL(hAPP(hAPP(c_member(_u12200), _u12202), hAPP(c_Set_Ovimage(_u12200, _u12204, _u12206), _u12208))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12209, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12210, _u12209, _u12211), hAPP(c_Set_Ovimage(_u12210, _u12209, _u12211), _u12212))), _u12212)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u12213, _u12214, _u12215), c_Orderings_Otop__class_Otop(tc_fun(_u12213, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12214, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12213, _u12214, _u12215), hAPP(c_Set_Ovimage(_u12213, _u12214, _u12215), _u12216)) = _u12216) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u12228, _u12224) = _u12230) | ~hBOOL(hAPP(hAPP(c_member(_u12222), _u12224), hAPP(c_Set_Ovimage(_u12222, _u12226, _u12228), hAPP(hAPP(c_Set_Oinsert(_u12226), _u12230), c_Orderings_Obot__class_Obot(tc_fun(_u12226, tc_HOL_Obool)))))) )).
% 28.96/29.20 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u12229, _u12225) != _u12231) | hBOOL(hAPP(hAPP(c_member(_u12223), _u12225), hAPP(c_Set_Ovimage(_u12223, _u12227, _u12229), hAPP(hAPP(c_Set_Oinsert(_u12227), _u12231), c_Orderings_Obot__class_Obot(tc_fun(_u12227, tc_HOL_Obool)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12232, _u12233, _u12234), hAPP(hAPP(c_Set_Oinsert(_u12233), _u12235), _u12236)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12232, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12232, _u12233, _u12234), hAPP(hAPP(c_Set_Oinsert(_u12233), _u12235), c_Orderings_Obot__class_Obot(tc_fun(_u12233, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u12232, _u12233, _u12234), _u12236))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12237), hAPP(c_Set_Ovimage(_u12237, _u12238, _u12239), _u12240))) | ( hAPP(c_Set_Oimage(_u12237, _u12238, _u12239), c_Orderings_Otop__class_Otop(tc_fun(_u12237, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12238, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12238), _u12240)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u12241, _u12242, _u12243), c_Orderings_Otop__class_Otop(tc_fun(_u12241, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12242, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12241, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12241, _u12242, _u12243), _u12244)), _u12245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12242, tc_HOL_Obool)), _u12244), hAPP(c_Set_Oimage(_u12241, _u12242, _u12243), _u12245))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u12246, _u12247, _u12248), hAPP(c_Set_Ovimage(_u12246, _u12247, _u12248), _u12249)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12247, tc_HOL_Obool)), _u12249), hAPP(c_Set_Oimage(_u12246, _u12247, _u12248), c_Orderings_Otop__class_Otop(tc_fun(_u12246, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12250), _u12251)) | ~c_Fun_Oinj__on(_u12252, _u12250, _u12253, c_Orderings_Otop__class_Otop(tc_fun(_u12252, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12252), hAPP(c_Set_Ovimage(_u12252, _u12250, _u12253), _u12251))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u12254, _u12255, _u12256, c_Orderings_Otop__class_Otop(tc_fun(_u12254, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u12254, _u12255, _u12256), hAPP(c_Set_Oimage(_u12254, _u12255, _u12256), _u12257)) = _u12257) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12262), _u12264), _u12266)) | ( hAPP(c_Set_Ovimage(_u12268, _u12262, hAPP(c_COMBK(_u12262, _u12268), _u12264)), _u12266) = c_Orderings_Otop__class_Otop(tc_fun(_u12268, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12263), _u12265), _u12267)) | ( hAPP(c_Set_Ovimage(_u12269, _u12263, hAPP(c_COMBK(_u12263, _u12269), _u12265)), _u12267) = c_Orderings_Obot__class_Obot(tc_fun(_u12269, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12270, _u12271, _u12272), _u12273) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12271, tc_fun(_u12270, tc_HOL_Obool)), _u12273), hAPP(hAPP(c_COMBB(tc_fun(_u12271, tc_HOL_Obool), tc_fun(_u12270, tc_HOL_Obool), _u12271), c_Set_Ovimage(_u12270, _u12271, _u12272)), hAPP(hAPP(c_COMBC(_u12271, tc_fun(_u12271, tc_HOL_Obool), tc_fun(_u12271, tc_HOL_Obool)), c_Set_Oinsert(_u12271)), c_Orderings_Obot__class_Obot(tc_fun(_u12271, tc_HOL_Obool)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u12274, _u12275, _u12276, c_Orderings_Otop__class_Otop(tc_fun(_u12274, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12275, tc_HOL_Obool)), _u12277), hAPP(c_Set_Oimage(_u12274, _u12275, _u12276), _u12278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12274, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12274, _u12275, _u12276), _u12277)), _u12278)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12285), _u12287), _u12289)) | ~hBOOL(hAPP(hAPP(c_member(_u12285), _u12291), _u12289)) | ( hAPP(c_Set_Ovimage(_u12293, _u12285, hAPP(hAPP(c_COMBC(_u12293, _u12285, _u12285), hAPP(hAPP(c_COMBC(_u12293, _u12285, tc_fun(_u12285, _u12285)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12285, tc_fun(_u12285, _u12285)), _u12293), c_If(_u12285)), hAPP(hAPP(c_COMBC(_u12293, tc_fun(_u12293, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12293)), _u12295))), _u12287)), _u12291)), _u12289) = c_Orderings_Otop__class_Otop(tc_fun(_u12293, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12285), _u12287), _u12289)) | hBOOL(hAPP(hAPP(c_member(_u12285), _u12291), _u12289)) | ( hAPP(c_Set_Ovimage(_u12293, _u12285, hAPP(hAPP(c_COMBC(_u12293, _u12285, _u12285), hAPP(hAPP(c_COMBC(_u12293, _u12285, tc_fun(_u12285, _u12285)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12285, tc_fun(_u12285, _u12285)), _u12293), c_If(_u12285)), hAPP(hAPP(c_COMBC(_u12293, tc_fun(_u12293, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12293)), _u12295))), _u12287)), _u12291)), _u12289) = _u12295) )).
% 28.96/29.20 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12286), _u12288), _u12290)) | ~hBOOL(hAPP(hAPP(c_member(_u12286), _u12292), _u12290)) | ( hAPP(c_Set_Ovimage(_u12294, _u12286, hAPP(hAPP(c_COMBC(_u12294, _u12286, _u12286), hAPP(hAPP(c_COMBC(_u12294, _u12286, tc_fun(_u12286, _u12286)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12286, tc_fun(_u12286, _u12286)), _u12294), c_If(_u12286)), hAPP(hAPP(c_COMBC(_u12294, tc_fun(_u12294, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12294)), _u12296))), _u12288)), _u12292)), _u12290) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12294, tc_HOL_Obool)), _u12296)) )).
% 28.96/29.20 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12286), _u12288), _u12290)) | hBOOL(hAPP(hAPP(c_member(_u12286), _u12292), _u12290)) | ( hAPP(c_Set_Ovimage(_u12294, _u12286, hAPP(hAPP(c_COMBC(_u12294, _u12286, _u12286), hAPP(hAPP(c_COMBC(_u12294, _u12286, tc_fun(_u12286, _u12286)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12286, tc_fun(_u12286, _u12286)), _u12294), c_If(_u12286)), hAPP(hAPP(c_COMBC(_u12294, tc_fun(_u12294, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12294)), _u12296))), _u12288)), _u12292)), _u12290) = c_Orderings_Obot__class_Obot(tc_fun(_u12294, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u12297, tc_prod(_u12298, _u12299), hAPP(hAPP(c_COMBS(_u12297, _u12299, tc_prod(_u12298, _u12299)), hAPP(hAPP(c_COMBB(_u12298, tc_fun(_u12299, tc_prod(_u12298, _u12299)), _u12297), c_Product__Type_OPair(_u12298, _u12299)), _u12300)), _u12301)), _u12302) = hAPP(hAPP(c_Product__Type_OSigma(_u12298, _u12299), hAPP(c_Set_Oimage(_u12297, _u12298, _u12300), _u12302)), hAPP(hAPP(c_COMBB(tc_fun(_u12297, tc_HOL_Obool), tc_fun(_u12299, tc_HOL_Obool), _u12298), c_Set_Oimage(_u12297, _u12299, _u12301)), hAPP(hAPP(c_COMBC(_u12298, tc_fun(_u12297, tc_HOL_Obool), tc_fun(_u12297, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12297, tc_HOL_Obool), tc_fun(tc_fun(_u12297, tc_HOL_Obool), tc_fun(_u12297, tc_HOL_Obool)), _u12298), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12297, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12298, tc_HOL_Obool), tc_fun(_u12297, tc_HOL_Obool), _u12298), c_Set_Ovimage(_u12297, _u12298, _u12300)), hAPP(hAPP(c_COMBC(_u12298, tc_fun(_u12298, tc_HOL_Obool), tc_fun(_u12298, tc_HOL_Obool)), c_Set_Oinsert(_u12298)), c_Orderings_Obot__class_Obot(tc_fun(_u12298, tc_HOL_Obool)))))), _u12302)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u12305, _u12306, _u12307) | ( hAPP(_u12308, hAPP(hAPP(_u12306, skolem284(_u12309, _u12308, _u12307, _u12306, _u12305)), skolem285(_u12309, _u12308, _u12307, _u12306, _u12305))) != hAPP(hAPP(_u12306, hAPP(_u12308, skolem284(_u12309, _u12308, _u12307, _u12306, _u12305))), hAPP(_u12308, skolem285(_u12309, _u12308, _u12307, _u12306, _u12305)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12305), _u12309)) | ( _u12309 = c_Orderings_Obot__class_Obot(tc_fun(_u12305, tc_HOL_Obool))) | ( hAPP(_u12308, hAPP(_u12307, _u12309)) = hAPP(_u12307, hAPP(c_Set_Oimage(_u12305, _u12305, _u12308), _u12309))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 28.96/29.20 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)), _u12311), c_Int_OInteg)) | ~hBOOL(hAPP(_u12312, hAPP(c_Int_ORep__Integ, skolem286(_u12312, _u12311)))) | hBOOL(hAPP(_u12312, _u12311)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12313), _u12314), _u12315)) | ~hBOOL(hAPP(hAPP(c_member(_u12316), _u12317), hAPP(_u12318, _u12314))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12313, _u12316)), hAPP(hAPP(c_Product__Type_OPair(_u12313, _u12316), _u12314), _u12317)), hAPP(hAPP(c_Product__Type_OSigma(_u12313, _u12316), _u12315), _u12318))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12319), _u12320), _u12321)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12322, _u12319), _u12323), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12322), _u12321)) != hAPP(hAPP(c_Product__Type_OSigma(_u12322, _u12319), _u12324), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12322), _u12321))) | ( _u12323 = _u12324) )).
% 28.96/29.20 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12319), _u12320), _u12321)) | ( _u12323 != _u12324) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12322, _u12319), _u12323), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12322), _u12321)) = hAPP(hAPP(c_Product__Type_OSigma(_u12322, _u12319), _u12324), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12322), _u12321))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12325, _u12326), c_Orderings_Obot__class_Obot(tc_fun(_u12325, tc_HOL_Obool))), _u12327) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12325, _u12326), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12328, _u12329)), hAPP(hAPP(c_Product__Type_OSigma(_u12328, _u12329), _u12330), hAPP(c_COMBK(tc_fun(_u12329, tc_HOL_Obool), _u12328), _u12331))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12328), _u12330)), hAPP(c_Finite__Set_Ocard(_u12329), _u12331))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12332) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12333, _u12332), hAPP(hAPP(c_COMBC(_u12333, tc_fun(_u12334, tc_HOL_Obool), _u12332), hAPP(hAPP(c_COMBB(tc_fun(_u12334, _u12332), tc_fun(tc_fun(_u12334, tc_HOL_Obool), _u12332), _u12333), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12334, _u12332)), _u12335)), _u12336)), _u12337) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12333, _u12334), _u12332), hAPP(c_Product__Type_Oprod_Oprod__case(_u12333, _u12334, _u12332), _u12335)), hAPP(hAPP(c_Product__Type_OSigma(_u12333, _u12334), _u12337), hAPP(c_COMBK(tc_fun(_u12334, tc_HOL_Obool), _u12333), _u12336)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12338, _u12339), _u12340), hAPP(c_COMBK(tc_fun(_u12339, tc_HOL_Obool), _u12338), c_Orderings_Obot__class_Obot(tc_fun(_u12339, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12338, _u12339), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12345, _u12347), _u12349), hAPP(c_COMBK(tc_fun(_u12347, tc_HOL_Obool), _u12345), _u12351)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12345, _u12347), tc_HOL_Obool))) | ( _u12349 = c_Orderings_Obot__class_Obot(tc_fun(_u12345, tc_HOL_Obool))) | ( _u12351 = c_Orderings_Obot__class_Obot(tc_fun(_u12347, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12346, _u12348), _u12350), hAPP(c_COMBK(tc_fun(_u12348, tc_HOL_Obool), _u12346), _u12352)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12346, _u12348), tc_HOL_Obool))) | ( _u12350 != c_Orderings_Obot__class_Obot(tc_fun(_u12346, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12346, _u12348), _u12350), hAPP(c_COMBK(tc_fun(_u12348, tc_HOL_Obool), _u12346), _u12352)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12346, _u12348), tc_HOL_Obool))) | ( _u12352 != c_Orderings_Obot__class_Obot(tc_fun(_u12348, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12353, _u12354), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12353, _u12354), _u12355), hAPP(c_COMBK(tc_fun(_u12354, tc_HOL_Obool), _u12353), c_Orderings_Otop__class_Otop(tc_fun(_u12354, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12353, _u12354), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12353, tc_HOL_Obool)), _u12355)), hAPP(c_COMBK(tc_fun(_u12354, tc_HOL_Obool), _u12353), c_Orderings_Otop__class_Otop(tc_fun(_u12354, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12356, _u12357), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12356, _u12357), c_Orderings_Otop__class_Otop(tc_fun(_u12356, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12357, tc_HOL_Obool), _u12356), _u12358))) = hAPP(hAPP(c_Product__Type_OSigma(_u12356, _u12357), c_Orderings_Otop__class_Otop(tc_fun(_u12356, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12357, tc_HOL_Obool), _u12356), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12357, tc_HOL_Obool)), _u12358)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12359) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12360, _u12359), hAPP(hAPP(c_COMBC(_u12360, tc_fun(_u12361, tc_HOL_Obool), _u12359), hAPP(hAPP(c_COMBB(tc_fun(_u12361, _u12359), tc_fun(tc_fun(_u12361, tc_HOL_Obool), _u12359), _u12360), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12361, _u12359)), _u12362)), _u12363)), _u12364) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12360, _u12361), _u12359), hAPP(c_Product__Type_Oprod_Oprod__case(_u12360, _u12361, _u12359), _u12362)), hAPP(hAPP(c_Product__Type_OSigma(_u12360, _u12361), _u12364), hAPP(c_COMBK(tc_fun(_u12361, tc_HOL_Obool), _u12360), _u12363)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12365, _u12366), _u12367), hAPP(hAPP(c_COMBS(_u12365, tc_fun(_u12366, tc_HOL_Obool), tc_fun(_u12366, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12366, tc_HOL_Obool), tc_fun(tc_fun(_u12366, tc_HOL_Obool), tc_fun(_u12366, tc_HOL_Obool)), _u12365), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12366, tc_HOL_Obool))), _u12368)), _u12369)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12365, _u12366), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12365, _u12366), _u12367), _u12368)), hAPP(hAPP(c_Product__Type_OSigma(_u12365, _u12366), _u12367), _u12369))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12370, _u12371), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12370, tc_HOL_Obool)), _u12372), _u12373)), hAPP(c_COMBK(tc_fun(_u12371, tc_HOL_Obool), _u12370), _u12374)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12370, _u12371), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12370, _u12371), _u12372), hAPP(c_COMBK(tc_fun(_u12371, tc_HOL_Obool), _u12370), _u12374))), hAPP(hAPP(c_Product__Type_OSigma(_u12370, _u12371), _u12373), hAPP(c_COMBK(tc_fun(_u12371, tc_HOL_Obool), _u12370), _u12374)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12375, _u12376), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12375, tc_HOL_Obool)), _u12377), _u12378)), _u12379) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12375, _u12376), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12375, _u12376), _u12377), _u12379)), hAPP(hAPP(c_Product__Type_OSigma(_u12375, _u12376), _u12378), _u12379))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12380, _u12381), tc_prod(_u12381, _u12380), hAPP(c_Product__Type_Oprod_Oprod__case(_u12380, _u12381, tc_prod(_u12381, _u12380)), hAPP(c_COMBC(_u12381, _u12380, tc_prod(_u12381, _u12380)), c_Product__Type_OPair(_u12381, _u12380)))), hAPP(hAPP(c_Product__Type_OSigma(_u12380, _u12381), _u12382), hAPP(c_COMBK(tc_fun(_u12381, tc_HOL_Obool), _u12380), _u12383))) = hAPP(hAPP(c_Product__Type_OSigma(_u12381, _u12380), _u12383), hAPP(c_COMBK(tc_fun(_u12380, tc_HOL_Obool), _u12381), _u12382))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12384), _u12385)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12386), _u12387)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12384, _u12386)), hAPP(hAPP(c_Product__Type_OSigma(_u12384, _u12386), _u12385), hAPP(c_COMBK(tc_fun(_u12386, tc_HOL_Obool), _u12384), _u12387)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12388, _u12389, _u12390) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12388, _u12388), tc_HOL_Obool)), _u12390), hAPP(hAPP(c_Product__Type_OSigma(_u12388, _u12388), _u12389), hAPP(c_COMBK(tc_fun(_u12388, tc_HOL_Obool), _u12388), _u12389)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12391, _u12392), _u12393), hAPP(hAPP(c_COMBS(_u12391, tc_fun(_u12392, tc_HOL_Obool), tc_fun(_u12392, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12392, tc_HOL_Obool), tc_fun(tc_fun(_u12392, tc_HOL_Obool), tc_fun(_u12392, tc_HOL_Obool)), _u12391), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12392, tc_HOL_Obool))), _u12394)), _u12395)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12391, _u12392), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12391, _u12392), _u12393), _u12394)), hAPP(hAPP(c_Product__Type_OSigma(_u12391, _u12392), _u12393), _u12395))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12396, _u12397), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12399)), hAPP(c_COMBK(tc_fun(_u12397, tc_HOL_Obool), _u12396), _u12400)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12396, _u12397), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12396, _u12397), _u12398), hAPP(c_COMBK(tc_fun(_u12397, tc_HOL_Obool), _u12396), _u12400))), hAPP(hAPP(c_Product__Type_OSigma(_u12396, _u12397), _u12399), hAPP(c_COMBK(tc_fun(_u12397, tc_HOL_Obool), _u12396), _u12400)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12401, _u12402), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12401, tc_HOL_Obool)), _u12403), _u12404)), _u12405) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12401, _u12402), _u12403), _u12405)), hAPP(hAPP(c_Product__Type_OSigma(_u12401, _u12402), _u12404), _u12405))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12406, _u12406), tc_HOL_Obool)), c_Relation_OId__on(_u12406, _u12407)), hAPP(hAPP(c_Product__Type_OSigma(_u12406, _u12406), _u12407), hAPP(c_COMBK(tc_fun(_u12406, tc_HOL_Obool), _u12406), _u12407)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12408, _u12409), _u12410), hAPP(hAPP(c_COMBS(_u12408, tc_fun(_u12409, tc_HOL_Obool), tc_fun(_u12409, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12409, tc_HOL_Obool), tc_fun(tc_fun(_u12409, tc_HOL_Obool), tc_fun(_u12409, tc_HOL_Obool)), _u12408), c_Groups_Ominus__class_Ominus(tc_fun(_u12409, tc_HOL_Obool))), _u12411)), _u12412)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12408, _u12409), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12408, _u12409), _u12410), _u12411)), hAPP(hAPP(c_Product__Type_OSigma(_u12408, _u12409), _u12410), _u12412))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12413, _u12414), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12413, tc_HOL_Obool)), _u12415), _u12416)), hAPP(c_COMBK(tc_fun(_u12414, tc_HOL_Obool), _u12413), _u12417)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12413, _u12414), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12413, _u12414), _u12415), hAPP(c_COMBK(tc_fun(_u12414, tc_HOL_Obool), _u12413), _u12417))), hAPP(hAPP(c_Product__Type_OSigma(_u12413, _u12414), _u12416), hAPP(c_COMBK(tc_fun(_u12414, tc_HOL_Obool), _u12413), _u12417)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12418, _u12419), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12418, tc_HOL_Obool)), _u12420), _u12421)), _u12422) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12418, _u12419), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12418, _u12419), _u12420), _u12422)), hAPP(hAPP(c_Product__Type_OSigma(_u12418, _u12419), _u12421), _u12422))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12423, _u12424), c_Orderings_Otop__class_Otop(tc_fun(_u12423, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12424, tc_HOL_Obool), _u12423), c_Orderings_Otop__class_Otop(tc_fun(_u12424, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12423, _u12424), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12431, _u12433)), hAPP(hAPP(c_Product__Type_OPair(_u12431, _u12433), _u12435), _u12437)), hAPP(hAPP(c_Product__Type_OSigma(_u12431, _u12433), _u12439), _u12441))) | hBOOL(hAPP(hAPP(c_member(_u12431), _u12435), _u12439)) )).
% 28.96/29.20 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12431, _u12433)), hAPP(hAPP(c_Product__Type_OPair(_u12431, _u12433), _u12435), _u12437)), hAPP(hAPP(c_Product__Type_OSigma(_u12431, _u12433), _u12439), _u12441))) | hBOOL(hAPP(hAPP(c_member(_u12433), _u12437), hAPP(_u12441, _u12435))) )).
% 28.96/29.20 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12432), _u12436), _u12440)) | ~hBOOL(hAPP(hAPP(c_member(_u12434), _u12438), hAPP(_u12442, _u12436))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12432, _u12434)), hAPP(hAPP(c_Product__Type_OPair(_u12432, _u12434), _u12436), _u12438)), hAPP(hAPP(c_Product__Type_OSigma(_u12432, _u12434), _u12440), _u12442))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12443, _u12444)), hAPP(hAPP(c_Product__Type_OPair(_u12443, _u12444), _u12445), _u12446)), hAPP(hAPP(c_Product__Type_OSigma(_u12443, _u12444), _u12447), _u12448))) | hBOOL(hAPP(hAPP(c_member(_u12443), _u12445), _u12447)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12450), _u12452), hAPP(_u12454, _u12451))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12449, _u12450)), hAPP(hAPP(c_Product__Type_OPair(_u12449, _u12450), _u12451), _u12452)), hAPP(hAPP(c_Product__Type_OSigma(_u12449, _u12450), _u12453), _u12454))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12455, _u12456)), hAPP(hAPP(c_Product__Type_OPair(_u12455, _u12456), _u12457), _u12458)), hAPP(hAPP(c_Product__Type_OSigma(_u12455, _u12456), _u12459), _u12460))) | hBOOL(hAPP(hAPP(c_member(_u12455), _u12457), _u12459)) )).
% 28.96/29.20 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12455, _u12456)), hAPP(hAPP(c_Product__Type_OPair(_u12455, _u12456), _u12457), _u12458)), hAPP(hAPP(c_Product__Type_OSigma(_u12455, _u12456), _u12459), _u12460))) | hBOOL(hAPP(hAPP(c_member(_u12456), _u12458), hAPP(_u12460, _u12457))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12461, _u12462)), hAPP(hAPP(c_Product__Type_OSigma(_u12461, _u12462), hAPP(hAPP(c_Set_Oinsert(_u12461), _u12463), c_Orderings_Obot__class_Obot(tc_fun(_u12461, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12462, tc_HOL_Obool), _u12461), _u12464))) = hAPP(c_Finite__Set_Ocard(_u12462), _u12464)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12465), _u12466), _u12467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12468, _u12465), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12468, _u12465), _u12469), hAPP(c_COMBK(tc_fun(_u12465, tc_HOL_Obool), _u12468), _u12467))), hAPP(hAPP(c_Product__Type_OSigma(_u12468, _u12465), _u12470), hAPP(c_COMBK(tc_fun(_u12465, tc_HOL_Obool), _u12468), _u12467)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12468, tc_HOL_Obool)), _u12469), _u12470)) )).
% 28.96/29.20 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12465), _u12466), _u12467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12468, tc_HOL_Obool)), _u12469), _u12470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12468, _u12465), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12468, _u12465), _u12469), hAPP(c_COMBK(tc_fun(_u12465, tc_HOL_Obool), _u12468), _u12467))), hAPP(hAPP(c_Product__Type_OSigma(_u12468, _u12465), _u12470), hAPP(c_COMBK(tc_fun(_u12465, tc_HOL_Obool), _u12468), _u12467)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12471, _u12472), tc_HOL_Obool)), _u12473), hAPP(hAPP(c_Product__Type_OSigma(_u12471, _u12472), _u12474), hAPP(c_COMBK(tc_fun(_u12472, tc_HOL_Obool), _u12471), _u12475)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12472, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12471, _u12472, _u12473), _u12476)), _u12475)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12477, _u12478)), hAPP(hAPP(c_Product__Type_OSigma(_u12477, _u12478), _u12479), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12477), _u12480)))) | ( _u12480 = c_Orderings_Obot__class_Obot(tc_fun(_u12478, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12477), _u12479)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12481, _u12482)), hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12482), _u12483), hAPP(c_COMBK(tc_fun(_u12482, tc_HOL_Obool), _u12481), _u12484)))) | ( _u12483 = c_Orderings_Obot__class_Obot(tc_fun(_u12481, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12482), _u12484)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fst__image__times-1, axiom, ( ( _u12489 != c_Orderings_Obot__class_Obot(tc_fun(_u12491, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12493, _u12491), _u12493, c_Product__Type_Ofst(_u12493, _u12491)), hAPP(hAPP(c_Product__Type_OSigma(_u12493, _u12491), _u12495), hAPP(c_COMBK(tc_fun(_u12491, tc_HOL_Obool), _u12493), _u12489))) = c_Orderings_Obot__class_Obot(tc_fun(_u12493, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_fst__image__times-2, axiom, ( ( _u12490 = c_Orderings_Obot__class_Obot(tc_fun(_u12492, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12494, _u12492), _u12494, c_Product__Type_Ofst(_u12494, _u12492)), hAPP(hAPP(c_Product__Type_OSigma(_u12494, _u12492), _u12496), hAPP(c_COMBK(tc_fun(_u12492, tc_HOL_Obool), _u12494), _u12490))) = _u12496) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_snd__image__times-1, axiom, ( ( _u12501 != c_Orderings_Obot__class_Obot(tc_fun(_u12503, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12503, _u12505), _u12505, c_Product__Type_Osnd(_u12503, _u12505)), hAPP(hAPP(c_Product__Type_OSigma(_u12503, _u12505), _u12501), hAPP(c_COMBK(tc_fun(_u12505, tc_HOL_Obool), _u12503), _u12507))) = c_Orderings_Obot__class_Obot(tc_fun(_u12505, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_snd__image__times-2, axiom, ( ( _u12502 = c_Orderings_Obot__class_Obot(tc_fun(_u12504, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12504, _u12506), _u12506, c_Product__Type_Osnd(_u12504, _u12506)), hAPP(hAPP(c_Product__Type_OSigma(_u12504, _u12506), _u12502), hAPP(c_COMBK(tc_fun(_u12506, tc_HOL_Obool), _u12504), _u12508))) = _u12508) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), hAPP(hAPP(c_Set_Oinsert(_u12509), _u12511), _u12512)), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), hAPP(hAPP(c_Set_Oinsert(_u12510), _u12513), _u12514))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12509, _u12510)), hAPP(hAPP(c_Product__Type_OPair(_u12509, _u12510), _u12511), _u12513)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12509, _u12510), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), _u12512), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), hAPP(hAPP(c_Set_Oinsert(_u12510), _u12513), _u12514)))), hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), hAPP(hAPP(c_Set_Oinsert(_u12509), _u12511), _u12512)), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), _u12514))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), _u12516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12515, _u12515), tc_HOL_Obool)), _u12517), hAPP(hAPP(c_Product__Type_OSigma(_u12515, _u12515), _u12516), hAPP(c_COMBK(tc_fun(_u12515, tc_HOL_Obool), _u12515), _u12516)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12515, tc_HOL_Obool)), _u12518), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12515), _u12516), _u12517))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), _u12518)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12519, tc_prod(_u12520, _u12521), _u12522), hAPP(hAPP(c_Product__Type_OSigma(_u12520, _u12521), _u12523), hAPP(c_COMBK(tc_fun(_u12521, tc_HOL_Obool), _u12520), _u12524))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12519, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12519, _u12520, hAPP(c_Fun_Ocomp(tc_prod(_u12520, _u12521), _u12520, _u12519, c_Product__Type_Ofst(_u12520, _u12521)), _u12522)), _u12523)), hAPP(c_Set_Ovimage(_u12519, _u12521, hAPP(c_Fun_Ocomp(tc_prod(_u12520, _u12521), _u12521, _u12519, c_Product__Type_Osnd(_u12520, _u12521)), _u12522)), _u12524))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12525, _u12526), tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12525, _u12526), _u12529), hAPP(c_COMBK(tc_fun(_u12526, tc_HOL_Obool), _u12525), _u12530))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12525, _u12526, tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12525, tc_fun(_u12526, tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool))), tc_fun(_u12526, tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool)), tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool)), tc_fun(tc_fun(_u12526, tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool))), tc_fun(_u12526, tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool))), _u12525), c_COMBB(tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool)), tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool), _u12526)), hAPP(hAPP(c_COMBB(tc_fun(_u12527, tc_HOL_Obool), tc_fun(tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool)), tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool)), _u12525), c_Product__Type_OSigma(_u12527, _u12528)), _u12531))), hAPP(hAPP(c_COMBB(tc_fun(_u12528, tc_HOL_Obool), tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool)), _u12526), c_COMBK(tc_fun(_u12528, tc_HOL_Obool), _u12527)), _u12532)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12527, _u12528), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12525, tc_fun(_u12527, tc_HOL_Obool)), _u12529), _u12531)), hAPP(c_COMBK(tc_fun(_u12528, tc_HOL_Obool), _u12527), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12526, tc_fun(_u12528, tc_HOL_Obool)), _u12530), _u12532)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12533, _u12534), _u12535), _u12536) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12533, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), _u12535), hAPP(hAPP(c_COMBS(_u12533, tc_fun(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12534, tc_HOL_Obool), tc_fun(tc_fun(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), _u12533), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), _u12536)), hAPP(hAPP(c_COMBC(_u12533, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12534, tc_fun(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), _u12533), c_COMBC(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12534, tc_prod(_u12533, _u12534)), tc_fun(_u12534, tc_fun(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), _u12533), hAPP(c_COMBB(tc_prod(_u12533, _u12534), tc_fun(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), _u12534), c_Set_Oinsert(tc_prod(_u12533, _u12534)))), c_Product__Type_OPair(_u12533, _u12534)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12537), _u12538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12537, _u12537), tc_HOL_Obool)), _u12539), hAPP(hAPP(c_Product__Type_OSigma(_u12537, _u12537), _u12538), hAPP(c_COMBK(tc_fun(_u12537, tc_HOL_Obool), _u12537), _u12538)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12537, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12537), _u12538), _u12539))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u12541, tc_prod(_u12542, _u12541), skolem287(_u12544, _u12543, _u12542, _u12541), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12542, tc_fun(_u12541, tc_HOL_Obool)), _u12543), _u12544)) )).
% 28.96/29.20 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12542, _u12541), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12541, tc_prod(_u12542, _u12541), skolem287(_u12544, _u12543, _u12542, _u12541)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12542, tc_fun(_u12541, tc_HOL_Obool)), _u12543), _u12544))), hAPP(hAPP(c_Product__Type_OSigma(_u12542, _u12541), _u12543), _u12544))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12546) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12547), _u12548)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12546, _u12547, c_Groups_Otimes__class_Otimes(_u12546)), hAPP(hAPP(c_COMBS(_u12547, tc_fun(_u12549, tc_HOL_Obool), _u12546), hAPP(hAPP(c_COMBC(_u12547, _u12546, tc_fun(tc_fun(_u12549, tc_HOL_Obool), _u12546)), hAPP(hAPP(c_COMBB(tc_fun(_u12549, _u12546), tc_fun(_u12546, tc_fun(tc_fun(_u12549, tc_HOL_Obool), _u12546)), _u12547), c_Finite__Set_Ofold__image(_u12546, _u12549, c_Groups_Otimes__class_Otimes(_u12546))), _u12551)), c_Groups_Oone__class_Oone(_u12546))), _u12550)), c_Groups_Oone__class_Oone(_u12546)), _u12548) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12546, tc_prod(_u12547, _u12549), c_Groups_Otimes__class_Otimes(_u12546)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12547, _u12549, _u12546), _u12551)), c_Groups_Oone__class_Oone(_u12546)), hAPP(hAPP(c_Product__Type_OSigma(_u12547, _u12549), _u12548), _u12550))) | hBOOL(hAPP(hAPP(c_member(_u12547), skolem288(_u12551, _u12550, _u12549, _u12548, _u12547, _u12546)), _u12548)) )).
% 28.96/29.20 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12546) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12547), _u12548)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12546, _u12547, c_Groups_Otimes__class_Otimes(_u12546)), hAPP(hAPP(c_COMBS(_u12547, tc_fun(_u12549, tc_HOL_Obool), _u12546), hAPP(hAPP(c_COMBC(_u12547, _u12546, tc_fun(tc_fun(_u12549, tc_HOL_Obool), _u12546)), hAPP(hAPP(c_COMBB(tc_fun(_u12549, _u12546), tc_fun(_u12546, tc_fun(tc_fun(_u12549, tc_HOL_Obool), _u12546)), _u12547), c_Finite__Set_Ofold__image(_u12546, _u12549, c_Groups_Otimes__class_Otimes(_u12546))), _u12551)), c_Groups_Oone__class_Oone(_u12546))), _u12550)), c_Groups_Oone__class_Oone(_u12546)), _u12548) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12546, tc_prod(_u12547, _u12549), c_Groups_Otimes__class_Otimes(_u12546)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12547, _u12549, _u12546), _u12551)), c_Groups_Oone__class_Oone(_u12546)), hAPP(hAPP(c_Product__Type_OSigma(_u12547, _u12549), _u12548), _u12550))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12549), hAPP(_u12550, skolem288(_u12551, _u12550, _u12549, _u12548, _u12547, _u12546)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12553), _u12554)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12553, _u12555)), hAPP(hAPP(c_Product__Type_OSigma(_u12553, _u12555), _u12554), _u12556))) | hBOOL(hAPP(hAPP(c_member(_u12553), skolem289(_u12556, _u12555, _u12554, _u12553)), _u12554)) )).
% 28.96/29.20 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12553), _u12554)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12553, _u12555)), hAPP(hAPP(c_Product__Type_OSigma(_u12553, _u12555), _u12554), _u12556))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12555), hAPP(_u12556, skolem289(_u12556, _u12555, _u12554, _u12553)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12558) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12559), _u12560)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12559, _u12558), hAPP(hAPP(c_COMBS(_u12559, tc_fun(_u12561, tc_HOL_Obool), _u12558), hAPP(hAPP(c_COMBB(tc_fun(_u12561, _u12558), tc_fun(tc_fun(_u12561, tc_HOL_Obool), _u12558), _u12559), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12561, _u12558)), _u12563)), _u12562)), _u12560) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12559, _u12561), _u12558), hAPP(c_Product__Type_Oprod_Oprod__case(_u12559, _u12561, _u12558), _u12563)), hAPP(hAPP(c_Product__Type_OSigma(_u12559, _u12561), _u12560), _u12562))) | hBOOL(hAPP(hAPP(c_member(_u12559), skolem290(_u12563, _u12562, _u12561, _u12560, _u12559, _u12558)), _u12560)) )).
% 28.96/29.20 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12558) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12559), _u12560)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12559, _u12558), hAPP(hAPP(c_COMBS(_u12559, tc_fun(_u12561, tc_HOL_Obool), _u12558), hAPP(hAPP(c_COMBB(tc_fun(_u12561, _u12558), tc_fun(tc_fun(_u12561, tc_HOL_Obool), _u12558), _u12559), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12561, _u12558)), _u12563)), _u12562)), _u12560) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12559, _u12561), _u12558), hAPP(c_Product__Type_Oprod_Oprod__case(_u12559, _u12561, _u12558), _u12563)), hAPP(hAPP(c_Product__Type_OSigma(_u12559, _u12561), _u12560), _u12562))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12561), hAPP(_u12562, skolem290(_u12563, _u12562, _u12561, _u12560, _u12559, _u12558)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12565) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12566), _u12567)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12566, _u12565), hAPP(hAPP(c_COMBS(_u12566, tc_fun(_u12568, tc_HOL_Obool), _u12565), hAPP(hAPP(c_COMBB(tc_fun(_u12568, _u12565), tc_fun(tc_fun(_u12568, tc_HOL_Obool), _u12565), _u12566), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12568, _u12565)), _u12570)), _u12569)), _u12567) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12566, _u12568), _u12565), hAPP(c_Product__Type_Oprod_Oprod__case(_u12566, _u12568, _u12565), _u12570)), hAPP(hAPP(c_Product__Type_OSigma(_u12566, _u12568), _u12567), _u12569))) | hBOOL(hAPP(hAPP(c_member(_u12566), skolem291(_u12570, _u12569, _u12568, _u12567, _u12566, _u12565)), _u12567)) )).
% 28.96/29.20 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12565) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12566), _u12567)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12566, _u12565), hAPP(hAPP(c_COMBS(_u12566, tc_fun(_u12568, tc_HOL_Obool), _u12565), hAPP(hAPP(c_COMBB(tc_fun(_u12568, _u12565), tc_fun(tc_fun(_u12568, tc_HOL_Obool), _u12565), _u12566), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12568, _u12565)), _u12570)), _u12569)), _u12567) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12566, _u12568), _u12565), hAPP(c_Product__Type_Oprod_Oprod__case(_u12566, _u12568, _u12565), _u12570)), hAPP(hAPP(c_Product__Type_OSigma(_u12566, _u12568), _u12567), _u12569))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), hAPP(_u12569, skolem291(_u12570, _u12569, _u12568, _u12567, _u12566, _u12565)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12572), _u12573)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12572, _u12574)), hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12574), _u12573), _u12575)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12572, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12574, tc_HOL_Obool), tc_Nat_Onat, _u12572), c_Finite__Set_Ocard(_u12574)), _u12575)), _u12573)) | hBOOL(hAPP(hAPP(c_member(_u12572), skolem292(_u12575, _u12574, _u12573, _u12572)), _u12573)) )).
% 28.96/29.20 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12572), _u12573)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12572, _u12574)), hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12574), _u12573), _u12575)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12572, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12574, tc_HOL_Obool), tc_Nat_Onat, _u12572), c_Finite__Set_Ocard(_u12574)), _u12575)), _u12573)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12574), hAPP(_u12575, skolem292(_u12575, _u12574, _u12573, _u12572)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12578, _u12579)), _u12580), hAPP(hAPP(c_Product__Type_OSigma(_u12578, _u12579), _u12581), _u12582))) | hBOOL(hAPP(hAPP(c_member(_u12578), skolem293(_u12582, _u12581, _u12580, _u12579, _u12578)), _u12581)) )).
% 28.96/29.20 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12578, _u12579)), _u12580), hAPP(hAPP(c_Product__Type_OSigma(_u12578, _u12579), _u12581), _u12582))) | hBOOL(hAPP(hAPP(c_member(_u12579), skolem294(_u12582, _u12581, _u12580, _u12579, _u12578)), hAPP(_u12582, skolem293(_u12582, _u12581, _u12580, _u12579, _u12578)))) )).
% 28.96/29.20 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12578, _u12579)), _u12580), hAPP(hAPP(c_Product__Type_OSigma(_u12578, _u12579), _u12581), _u12582))) | ( _u12580 = hAPP(hAPP(c_Product__Type_OPair(_u12578, _u12579), skolem293(_u12582, _u12581, _u12580, _u12579, _u12578)), skolem294(_u12582, _u12581, _u12580, _u12579, _u12578))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u12583, _u12584, _u12585), c_Orderings_Otop__class_Otop(tc_fun(_u12583, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12584, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12586, _u12587, _u12588), c_Orderings_Otop__class_Otop(tc_fun(_u12586, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12587, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12583, _u12586), tc_prod(_u12584, _u12587), c_Product__Type_Omap__pair(_u12583, _u12584, _u12586, _u12587, _u12585, _u12588)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12583, _u12586), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12584, _u12587), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u12589, _u12590, _u12591, _u12592) | ~c_Fun_Oinj__on(_u12593, _u12594, _u12595, _u12596) | c_Fun_Oinj__on(tc_prod(_u12589, _u12593), tc_prod(_u12590, _u12594), c_Product__Type_Omap__pair(_u12589, _u12590, _u12593, _u12594, _u12591, _u12595), hAPP(hAPP(c_Product__Type_OSigma(_u12589, _u12593), _u12592), hAPP(c_COMBK(tc_fun(_u12593, tc_HOL_Obool), _u12589), _u12596))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12597, _u12598)), hAPP(hAPP(c_Product__Type_OPair(_u12597, _u12598), _u12599), _u12600)), _u12601)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12602, _u12603)), hAPP(hAPP(c_Product__Type_OPair(_u12602, _u12603), hAPP(_u12604, _u12599)), hAPP(_u12605, _u12600))), hAPP(c_Set_Oimage(tc_prod(_u12597, _u12598), tc_prod(_u12602, _u12603), c_Product__Type_Omap__pair(_u12597, _u12602, _u12598, _u12603, _u12604, _u12605)), _u12601))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12606, _u12607), hAPP(c_Product__Type_Omap__pair(_u12608, _u12606, _u12609, _u12607, _u12610, _u12611), _u12612)) = hAPP(_u12610, hAPP(c_Product__Type_Ofst(_u12608, _u12609), _u12612))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12613, _u12614, _u12615, _u12616, _u12617, _u12618), hAPP(hAPP(c_Product__Type_OPair(_u12613, _u12615), _u12619), _u12620)) = hAPP(hAPP(c_Product__Type_OPair(_u12614, _u12616), hAPP(_u12617, _u12619)), hAPP(_u12618, _u12620))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12621, _u12621, _u12622, _u12622, c_COMBI(_u12621), c_COMBI(_u12622)), _u12623) = _u12623) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12624, _u12625), hAPP(c_Product__Type_Omap__pair(_u12626, _u12624, _u12627, _u12625, _u12628, _u12629), _u12630)) = hAPP(_u12629, hAPP(c_Product__Type_Osnd(_u12626, _u12627), _u12630))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u12631, _u12632), _u12632, tc_prod(_u12633, _u12634), c_Product__Type_Osnd(_u12631, _u12632)), c_Product__Type_Omap__pair(_u12633, _u12631, _u12634, _u12632, _u12635, _u12636)) = hAPP(c_Fun_Ocomp(_u12634, _u12632, tc_prod(_u12633, _u12634), _u12636), c_Product__Type_Osnd(_u12633, _u12634))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u12637, _u12638), _u12637, tc_prod(_u12639, _u12640), c_Product__Type_Ofst(_u12637, _u12638)), c_Product__Type_Omap__pair(_u12639, _u12637, _u12640, _u12638, _u12641, _u12642)) = hAPP(c_Fun_Ocomp(_u12639, _u12637, tc_prod(_u12639, _u12640), _u12641), c_Product__Type_Ofst(_u12639, _u12640))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12643, _u12644, _u12645, _u12646, _u12647, _u12648), hAPP(c_Product__Type_Omap__pair(_u12649, _u12643, _u12650, _u12645, _u12651, _u12652), _u12653)) = hAPP(c_Product__Type_Omap__pair(_u12649, _u12644, _u12650, _u12646, hAPP(c_Fun_Ocomp(_u12643, _u12644, _u12649, _u12647), _u12651), hAPP(c_Fun_Ocomp(_u12645, _u12646, _u12650, _u12648), _u12652)), _u12653)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u12654, _u12655, _u12656, _u12657, hAPP(c_Fun_Ocomp(_u12658, _u12655, _u12654, _u12659), _u12660), hAPP(c_Fun_Ocomp(_u12661, _u12657, _u12656, _u12662), _u12663)) = hAPP(c_Fun_Ocomp(tc_prod(_u12658, _u12661), tc_prod(_u12655, _u12657), tc_prod(_u12654, _u12656), c_Product__Type_Omap__pair(_u12658, _u12655, _u12661, _u12657, _u12659, _u12662)), c_Product__Type_Omap__pair(_u12654, _u12658, _u12656, _u12661, _u12660, _u12663))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u12664, _u12665), tc_prod(_u12666, _u12667), tc_prod(_u12668, _u12669), c_Product__Type_Omap__pair(_u12664, _u12666, _u12665, _u12667, _u12670, _u12671)), c_Product__Type_Omap__pair(_u12668, _u12664, _u12669, _u12665, _u12672, _u12673)) = c_Product__Type_Omap__pair(_u12668, _u12666, _u12669, _u12667, hAPP(c_Fun_Ocomp(_u12664, _u12666, _u12668, _u12670), _u12672), hAPP(c_Fun_Ocomp(_u12665, _u12667, _u12669, _u12671), _u12673))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u12674, _u12675, _u12676, _u12677, _u12678, _u12679) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12674, _u12676, tc_prod(_u12675, _u12677)), hAPP(hAPP(c_COMBC(_u12674, tc_fun(_u12676, _u12677), tc_fun(_u12676, tc_prod(_u12675, _u12677))), hAPP(hAPP(c_COMBB(tc_fun(_u12677, tc_prod(_u12675, _u12677)), tc_fun(tc_fun(_u12676, _u12677), tc_fun(_u12676, tc_prod(_u12675, _u12677))), _u12674), c_COMBB(_u12677, tc_prod(_u12675, _u12677), _u12676)), hAPP(hAPP(c_COMBB(_u12675, tc_fun(_u12677, tc_prod(_u12675, _u12677)), _u12674), c_Product__Type_OPair(_u12675, _u12677)), _u12678))), _u12679))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u12680, _u12681, _u12682), _u12683) != _u12684) | ( hAPP(c_Set_Oimage(_u12685, _u12686, _u12687), _u12688) != _u12689) | ( hAPP(c_Set_Oimage(tc_prod(_u12680, _u12685), tc_prod(_u12681, _u12686), c_Product__Type_Omap__pair(_u12680, _u12681, _u12685, _u12686, _u12682, _u12687)), hAPP(hAPP(c_Product__Type_OSigma(_u12680, _u12685), _u12683), hAPP(c_COMBK(tc_fun(_u12685, tc_HOL_Obool), _u12680), _u12688))) = hAPP(hAPP(c_Product__Type_OSigma(_u12681, _u12686), _u12684), hAPP(c_COMBK(tc_fun(_u12686, tc_HOL_Obool), _u12681), _u12689))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12692, _u12693)), _u12694), hAPP(c_Set_Oimage(tc_prod(_u12695, _u12696), tc_prod(_u12692, _u12693), c_Product__Type_Omap__pair(_u12695, _u12692, _u12696, _u12693, _u12697, _u12698)), _u12699))) | ( _u12694 = hAPP(hAPP(c_Product__Type_OPair(_u12692, _u12693), hAPP(_u12697, skolem295(_u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692))), hAPP(_u12698, skolem296(_u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692)))) )).
% 28.96/29.20 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12692, _u12693)), _u12694), hAPP(c_Set_Oimage(tc_prod(_u12695, _u12696), tc_prod(_u12692, _u12693), c_Product__Type_Omap__pair(_u12695, _u12692, _u12696, _u12693, _u12697, _u12698)), _u12699))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12695, _u12696)), hAPP(hAPP(c_Product__Type_OPair(_u12695, _u12696), skolem295(_u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692)), skolem296(_u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692))), _u12699)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u12705, _u12707, _u12709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12705, _u12705), tc_HOL_Obool)), _u12709), hAPP(hAPP(c_Product__Type_OSigma(_u12705, _u12705), _u12707), hAPP(c_COMBK(tc_fun(_u12705, tc_HOL_Obool), _u12705), _u12707)))) )).
% 28.96/29.20 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u12705, _u12707, _u12709) | ~hBOOL(hAPP(hAPP(c_member(_u12705), _u12700), _u12707)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12705, _u12705)), hAPP(hAPP(c_Product__Type_OPair(_u12705, _u12705), _u12700), _u12700)), _u12709)) )).
% 28.96/29.20 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u12706, _u12708, _u12710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12706, _u12706), tc_HOL_Obool)), _u12710), hAPP(hAPP(c_Product__Type_OSigma(_u12706, _u12706), _u12708), hAPP(c_COMBK(tc_fun(_u12706, tc_HOL_Obool), _u12706), _u12708)))) | hBOOL(hAPP(hAPP(c_member(_u12706), skolem297(_u12710, _u12708, _u12706)), _u12708)) )).
% 28.96/29.20 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u12706, _u12708, _u12710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12706, _u12706), tc_HOL_Obool)), _u12710), hAPP(hAPP(c_Product__Type_OSigma(_u12706, _u12706), _u12708), hAPP(c_COMBK(tc_fun(_u12706, tc_HOL_Obool), _u12706), _u12708)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12706, _u12706)), hAPP(hAPP(c_Product__Type_OPair(_u12706, _u12706), skolem297(_u12710, _u12708, _u12706)), skolem297(_u12710, _u12708, _u12706))), _u12710)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 28.96/29.20 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)), _u12712), c_Int_OInteg)) | ( _u12712 = hAPP(c_Int_ORep__Integ, skolem298(_u12712))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u12713, _u12714, c_Relation_OId__on(_u12713, _u12714)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u12715, c_Orderings_Obot__class_Obot(tc_fun(_u12715, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12715, _u12715), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u12716, _u12717, _u12718) | ~c_Relation_Orefl__on(_u12716, _u12719, _u12720) | c_Relation_Orefl__on(_u12716, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12716, tc_HOL_Obool)), _u12717), _u12719), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12716, _u12716), tc_HOL_Obool)), _u12718), _u12720)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u12721, c_Orderings_Otop__class_Otop(tc_fun(_u12721, tc_HOL_Obool)), c_Relation_OId(_u12721)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u12722, _u12723, _u12724) | ~c_Relation_Orefl__on(_u12722, _u12725, _u12726) | c_Relation_Orefl__on(_u12722, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12722, tc_HOL_Obool)), _u12723), _u12725), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12722, _u12722), tc_HOL_Obool)), _u12724), _u12726)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u12727, _u12728, _u12729) | ~hBOOL(hAPP(hAPP(c_member(_u12727), _u12730), _u12728)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12727, _u12727)), hAPP(hAPP(c_Product__Type_OPair(_u12727, _u12727), _u12730), _u12730)), _u12729)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u12731, _u12732, _u12733) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12731, _u12731)), hAPP(hAPP(c_Product__Type_OPair(_u12731, _u12731), _u12734), _u12735)), _u12733)) | hBOOL(hAPP(hAPP(c_member(_u12731), _u12734), _u12732)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u12736, _u12737, _u12738) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12736, _u12736)), hAPP(hAPP(c_Product__Type_OPair(_u12736, _u12736), _u12739), _u12740)), _u12738)) | hBOOL(hAPP(hAPP(c_member(_u12736), _u12740), _u12737)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u12741, c_Orderings_Otop__class_Otop(tc_fun(_u12741, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12741, _u12741), tc_HOL_Obool)), _u12742), c_Relation_OId(_u12741))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12744, _u12744), tc_HOL_Obool)), _u12745), hAPP(hAPP(c_Product__Type_OSigma(_u12744, _u12744), _u12746), hAPP(c_COMBK(tc_fun(_u12744, tc_HOL_Obool), _u12744), _u12746)))) | c_Relation_Orefl__on(_u12744, _u12746, _u12745) | hBOOL(hAPP(hAPP(c_member(_u12744), skolem299(_u12746, _u12745, _u12744)), _u12746)) )).
% 28.96/29.20 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12744, _u12744), tc_HOL_Obool)), _u12745), hAPP(hAPP(c_Product__Type_OSigma(_u12744, _u12744), _u12746), hAPP(c_COMBK(tc_fun(_u12744, tc_HOL_Obool), _u12744), _u12746)))) | c_Relation_Orefl__on(_u12744, _u12746, _u12745) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12744, _u12744)), hAPP(hAPP(c_Product__Type_OPair(_u12744, _u12744), skolem299(_u12746, _u12745, _u12744)), skolem299(_u12746, _u12745, _u12744))), _u12745)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u12747, tc_fun(_u12747, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12747, tc_HOL_Obool), tc_fun(tc_fun(_u12747, tc_HOL_Obool), tc_fun(_u12747, tc_HOL_Obool)), _u12747), hAPP(c_COMBC(tc_fun(_u12747, tc_HOL_Obool), tc_fun(_u12747, tc_HOL_Obool), tc_fun(_u12747, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u12747, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u12747, tc_fun(_u12747, tc_HOL_Obool), tc_fun(_u12747, tc_HOL_Obool)), c_Set_Oinsert(_u12747)), c_Orderings_Obot__class_Obot(tc_fun(_u12747, tc_HOL_Obool))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u12749, _u12750, _u12751, _u12752, _u12753, _u12754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12750), _u12755)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12750), _u12756)) | ( hAPP(_u12754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12750, tc_HOL_Obool)), _u12755), _u12756)) = hAPP(hAPP(_u12751, hAPP(_u12754, _u12755)), hAPP(_u12754, _u12756))) | hBOOL(hAPP(hAPP(c_member(_u12750), skolem300(_u12756, _u12755, _u12754, _u12753, _u12752, _u12751, _u12750)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12750, tc_HOL_Obool)), _u12755), _u12756))) )).
% 28.96/29.20 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u12749, _u12750, _u12751, _u12752, _u12753, _u12754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12750), _u12755)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12750), _u12756)) | ( hAPP(_u12754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12750, tc_HOL_Obool)), _u12755), _u12756)) = hAPP(hAPP(_u12751, hAPP(_u12754, _u12755)), hAPP(_u12754, _u12756))) | ( hAPP(_u12753, skolem300(_u12756, _u12755, _u12754, _u12753, _u12752, _u12751, _u12750)) != _u12752) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u12759, _u12760), hAPP(hAPP(_u12759, _u12760), _u12761)) = hAPP(hAPP(_u12759, _u12760), _u12761)) | ~c_Finite__Set_Ofun__left__comm__idem(_u12757, _u12758, _u12759) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u12762, _u12763, _u12764) | c_Finite__Set_Ofun__left__comm__idem(_u12765, _u12763, hAPP(hAPP(c_COMBB(_u12762, tc_fun(_u12763, _u12763), _u12765), _u12764), _u12766)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u12767, tc_fun(_u12767, tc_HOL_Obool), c_Set_Oinsert(_u12767)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12768) | c_Finite__Set_Ofun__left__comm__idem(_u12768, _u12768, c_Groups_Otimes__class_Otimes(_u12768)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u12769) | c_Finite__Set_Ofun__left__comm__idem(_u12769, _u12769, c_Lattices_Osemilattice__sup__class_Osup(_u12769)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u12770) | c_Finite__Set_Ofun__left__comm__idem(_u12770, _u12770, c_Lattices_Osemilattice__inf__class_Oinf(_u12770)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u12772, _u12772, _u12772, hAPP(_u12773, _u12774)), hAPP(_u12773, _u12774)) = hAPP(_u12773, _u12774)) | ~c_Finite__Set_Ofun__left__comm__idem(_u12771, _u12772, _u12773) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u12775) | c_Finite__Set_Ofun__left__comm__idem(_u12775, _u12775, c_Orderings_Oord__class_Omin(_u12775)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u12776) | c_Finite__Set_Ofun__left__comm__idem(_u12776, _u12776, c_Orderings_Oord__class_Omax(_u12776)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12777)) | ( 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)), _u12777))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12778))))) = 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)), _u12777))), 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, _u12778)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__less ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12779)) | ( 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)), _u12779))), 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, _u12780))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12781)) | ( 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)), _u12781))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12782)))) = 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)), _u12781))), 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, _u12782)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u12783, _u12784)) | hBOOL(hAPP(hAPP(c_member(_u12785), _u12784), hAPP(c_Set_OCollect(_u12785), _u12783))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(c_Set_OCollect(_u12786), hAPP(hAPP(c_COMBS(_u12786, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12786), c_fconj), _u12787)), _u12788)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(c_Set_OCollect(_u12786), _u12787))) )).
% 28.96/29.20 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(c_Set_OCollect(_u12786), hAPP(hAPP(c_COMBS(_u12786, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12786), c_fconj), _u12787)), _u12788)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(c_Set_OCollect(_u12786), _u12788))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 28.96/29.20 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)), _u12789)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 28.96/29.20 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)), _u12790)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12791, _u12792)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12791, _u12792, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12791, tc_fun(_u12792, tc_HOL_Obool), tc_fun(_u12792, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12792, tc_HOL_Obool), tc_fun(_u12792, tc_HOL_Obool)), _u12791), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12792)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12791), c_fconj), _u12793))), _u12794))) = hAPP(hAPP(c_Product__Type_OSigma(_u12791, _u12792), hAPP(c_Set_OCollect(_u12791), _u12793)), hAPP(c_COMBK(tc_fun(_u12792, tc_HOL_Obool), _u12791), hAPP(c_Set_OCollect(_u12792), _u12794)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12795, _u12796)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12795, _u12796, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12795, tc_fun(_u12796, tc_HOL_Obool), tc_fun(_u12796, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12796, tc_HOL_Obool), tc_fun(_u12796, tc_HOL_Obool)), _u12795), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12796)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12795), c_fconj), _u12797))), _u12798))) = hAPP(hAPP(c_Product__Type_OSigma(_u12795, _u12796), hAPP(c_Set_OCollect(_u12795), _u12797)), hAPP(hAPP(c_COMBB(tc_fun(_u12796, tc_HOL_Obool), tc_fun(_u12796, tc_HOL_Obool), _u12795), c_Set_OCollect(_u12796)), _u12798))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12799), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12799), c_fNot), _u12800)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12799, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12799), _u12800))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12801, _u12802, _u12803), hAPP(c_Set_OCollect(_u12802), _u12804)) = hAPP(c_Set_OCollect(_u12801), hAPP(hAPP(c_COMBB(_u12802, tc_HOL_Obool, _u12801), _u12804), _u12803))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12805), hAPP(hAPP(c_COMBC(_u12805, tc_fun(_u12805, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12805)), _u12806)) = _u12806) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u12814, _u12812)) | ~hBOOL(hAPP(hAPP(c_member(_u12810), _u12812), hAPP(c_Set_OCollect(_u12810), _u12814))) )).
% 28.96/29.20 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u12815, _u12813)) | hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_OCollect(_u12811), _u12815))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u12818, _u12817)) | ~hBOOL(hAPP(hAPP(c_member(_u12816), _u12817), hAPP(c_Set_OCollect(_u12816), _u12818))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u12821, _u12820)) | ~hBOOL(hAPP(hAPP(c_member(_u12819), _u12820), hAPP(c_Set_OCollect(_u12819), _u12821))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u12822, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12822), hAPP(c_COMBK(tc_HOL_Obool, _u12822), c_fTrue))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), hAPP(c_Set_OCollect(_u12826), hAPP(hAPP(c_COMBS(_u12826, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12826), c_fdisj), _u12828)), _u12830)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), hAPP(c_Set_OCollect(_u12826), _u12828))) )).
% 28.96/29.20 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), hAPP(c_Set_OCollect(_u12826), hAPP(hAPP(c_COMBS(_u12826, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12826), c_fdisj), _u12828)), _u12830)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), hAPP(c_Set_OCollect(_u12826), _u12830))) )).
% 28.96/29.20 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12827), hAPP(c_Set_OCollect(_u12827), _u12829))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12827), hAPP(c_Set_OCollect(_u12827), _u12831))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12827), hAPP(c_Set_OCollect(_u12827), hAPP(hAPP(c_COMBS(_u12827, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12827), c_fdisj), _u12829)), _u12831)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u12832), _u12833) = _u12833) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u12840, _u12834)) | ( hAPP(c_Set_OCollect(_u12838), _u12840) != c_Orderings_Obot__class_Obot(tc_fun(_u12838, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u12841, skolem301(_u12841))) | ( hAPP(c_Set_OCollect(_u12839), _u12841) = c_Orderings_Obot__class_Obot(tc_fun(_u12839, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u12848, _u12842)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12846, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u12846), _u12848)) )).
% 28.96/29.20 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u12849, skolem302(_u12849))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12847, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12847), _u12849)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u12850, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12850), hAPP(c_COMBK(tc_HOL_Obool, _u12850), c_fFalse))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12851), _u12852), hAPP(c_Set_OCollect(_u12851), _u12853)) = hAPP(c_Set_OCollect(_u12851), hAPP(hAPP(c_COMBS(_u12851, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12851), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12851), c_fNot), hAPP(hAPP(c_COMBC(_u12851, _u12851, tc_HOL_Obool), c_fequal), _u12852)))), _u12853))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12854), hAPP(hAPP(c_COMBS(_u12854, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12854), c_fdisj), _u12855)), _u12856)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12854, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12854), _u12855)), hAPP(c_Set_OCollect(_u12854), _u12856))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12857), hAPP(hAPP(c_COMBS(_u12857, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12857), c_fconj), _u12858)), _u12859)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12857, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12857), _u12858)), hAPP(c_Set_OCollect(_u12857), _u12859))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12860), _u12861), _u12862) = hAPP(c_Set_OCollect(_u12860), hAPP(hAPP(c_COMBS(_u12860, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12860), c_fdisj), hAPP(hAPP(c_COMBC(_u12860, _u12860, tc_HOL_Obool), c_fequal), _u12861))), hAPP(hAPP(c_COMBC(_u12860, tc_fun(_u12860, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12860)), _u12862)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12863), _u12864), _u12865) = hAPP(c_Set_OCollect(_u12863), hAPP(hAPP(c_COMBS(_u12863, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12863), c_fdisj), hAPP(hAPP(c_COMBC(_u12863, _u12863, tc_HOL_Obool), c_fequal), _u12864))), hAPP(hAPP(c_COMBC(_u12863, tc_fun(_u12863, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12863)), _u12865)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12866, tc_HOL_Obool)), _u12867), _u12868) = hAPP(c_Set_OCollect(_u12866), hAPP(hAPP(c_COMBS(_u12866, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12866), c_fdisj), hAPP(hAPP(c_COMBC(_u12866, tc_fun(_u12866, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12866)), _u12867))), hAPP(hAPP(c_COMBC(_u12866, tc_fun(_u12866, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12866)), _u12868)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12873), _u12875), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12873, tc_HOL_Obool)), _u12877), hAPP(c_Set_OCollect(_u12873), _u12879)))) | hBOOL(hAPP(hAPP(c_member(_u12873), _u12875), _u12877)) )).
% 28.96/29.20 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12873), _u12875), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12873, tc_HOL_Obool)), _u12877), hAPP(c_Set_OCollect(_u12873), _u12879)))) | hBOOL(hAPP(_u12879, _u12875)) )).
% 28.96/29.20 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12874), _u12876), _u12878)) | ~hBOOL(hAPP(_u12880, _u12876)) | hBOOL(hAPP(hAPP(c_member(_u12874), _u12876), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12874, tc_HOL_Obool)), _u12878), hAPP(c_Set_OCollect(_u12874), _u12880)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12881, tc_HOL_Obool)), _u12882), _u12883) = hAPP(c_Set_OCollect(_u12881), hAPP(hAPP(c_COMBS(_u12881, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12881), c_fconj), hAPP(hAPP(c_COMBC(_u12881, tc_fun(_u12881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12881)), _u12882))), hAPP(hAPP(c_COMBC(_u12881, tc_fun(_u12881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12881)), _u12883)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u12884), hAPP(c_fequal, _u12885)) = hAPP(hAPP(c_Set_Oinsert(_u12884), _u12885), c_Orderings_Obot__class_Obot(tc_fun(_u12884, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u12886), hAPP(hAPP(c_COMBC(_u12886, _u12886, tc_HOL_Obool), c_fequal), _u12887)) = hAPP(hAPP(c_Set_Oinsert(_u12886), _u12887), c_Orderings_Obot__class_Obot(tc_fun(_u12886, tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u12891, _u12893)) | ( hAPP(c_Set_OCollect(_u12895), hAPP(hAPP(c_COMBS(_u12895, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12895), c_fconj), hAPP(c_fequal, _u12893))), _u12891)) = hAPP(hAPP(c_Set_Oinsert(_u12895), _u12893), c_Orderings_Obot__class_Obot(tc_fun(_u12895, tc_HOL_Obool)))) )).
% 28.96/29.20 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u12892, _u12894)) | ( hAPP(c_Set_OCollect(_u12896), hAPP(hAPP(c_COMBS(_u12896, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12896), c_fconj), hAPP(c_fequal, _u12894))), _u12892)) = c_Orderings_Obot__class_Obot(tc_fun(_u12896, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u12900, _u12902)) | ( hAPP(c_Set_OCollect(_u12904), hAPP(hAPP(c_COMBS(_u12904, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12904), c_fconj), hAPP(hAPP(c_COMBC(_u12904, _u12904, tc_HOL_Obool), c_fequal), _u12902))), _u12900)) = hAPP(hAPP(c_Set_Oinsert(_u12904), _u12902), c_Orderings_Obot__class_Obot(tc_fun(_u12904, tc_HOL_Obool)))) )).
% 28.96/29.20 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u12901, _u12903)) | ( hAPP(c_Set_OCollect(_u12905), hAPP(hAPP(c_COMBS(_u12905, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12905), c_fconj), hAPP(hAPP(c_COMBC(_u12905, _u12905, tc_HOL_Obool), c_fequal), _u12903))), _u12901)) = c_Orderings_Obot__class_Obot(tc_fun(_u12905, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12906, tc_HOL_Obool)), _u12907), _u12908) = hAPP(c_Set_OCollect(_u12906), hAPP(hAPP(c_COMBS(_u12906, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12906), c_fconj), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12906)), _u12907))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12906), c_fNot), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12906)), _u12908))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), hAPP(c_Set_OCollect(_u12909), _u12910))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), hAPP(c_Set_OCollect(_u12909), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12909), c_fNot), _u12910)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), c_Orderings_Otop__class_Otop(tc_fun(_u12909, tc_HOL_Obool)))) )).
% 28.96/29.20 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), hAPP(c_Set_OCollect(_u12909), _u12910))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), c_Orderings_Otop__class_Otop(tc_fun(_u12909, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), hAPP(c_Set_OCollect(_u12909), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12909), c_fNot), _u12910)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12911), _u12912), _u12913) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12911, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12911), hAPP(hAPP(c_COMBC(_u12911, _u12911, tc_HOL_Obool), c_fequal), _u12912))), _u12913)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12914, tc_HOL_Obool)), _u12915) = hAPP(c_Set_OCollect(_u12914), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12914), c_fNot), hAPP(hAPP(c_COMBC(_u12914, tc_fun(_u12914, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12914)), _u12915)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12916, _u12917, _u12918), _u12919) = hAPP(c_Set_OCollect(_u12916), hAPP(hAPP(c_COMBC(_u12916, tc_fun(_u12917, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12917, tc_fun(tc_fun(_u12917, tc_HOL_Obool), tc_HOL_Obool), _u12916), c_member(_u12917)), _u12918)), _u12919))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12920), hAPP(hAPP(c_COMBS(_u12920, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12920), c_fimplies), _u12921)), _u12922)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12920, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12920, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12920), _u12921))), hAPP(c_Set_OCollect(_u12920), _u12922))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 28.96/29.20 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), _u12923)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12924))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12925) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12926), _u12927)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12928), _u12929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12926, _u12925), hAPP(hAPP(c_COMBS(_u12926, tc_fun(_u12928, tc_HOL_Obool), _u12925), hAPP(hAPP(c_COMBB(tc_fun(_u12928, _u12925), tc_fun(tc_fun(_u12928, tc_HOL_Obool), _u12925), _u12926), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12928, _u12925)), _u12930)), hAPP(hAPP(c_COMBB(tc_fun(_u12928, tc_HOL_Obool), tc_fun(_u12928, tc_HOL_Obool), _u12926), c_Set_OCollect(_u12928)), hAPP(hAPP(c_COMBB(tc_fun(_u12928, tc_HOL_Obool), tc_fun(_u12928, tc_HOL_Obool), _u12926), hAPP(c_COMBS(_u12928, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12928), c_fconj), hAPP(hAPP(c_COMBC(_u12928, tc_fun(_u12928, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12928)), _u12929)))), _u12931)))), _u12927) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12928, _u12925), hAPP(hAPP(c_COMBS(_u12928, tc_fun(_u12926, tc_HOL_Obool), _u12925), hAPP(hAPP(c_COMBB(tc_fun(_u12926, _u12925), tc_fun(tc_fun(_u12926, tc_HOL_Obool), _u12925), _u12928), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12926, _u12925)), hAPP(c_COMBC(_u12926, _u12928, _u12925), _u12930))), hAPP(hAPP(c_COMBB(tc_fun(_u12926, tc_HOL_Obool), tc_fun(_u12926, tc_HOL_Obool), _u12928), c_Set_OCollect(_u12926)), hAPP(hAPP(c_COMBB(tc_fun(_u12926, tc_HOL_Obool), tc_fun(_u12926, tc_HOL_Obool), _u12928), hAPP(c_COMBS(_u12926, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12926), c_fconj), hAPP(hAPP(c_COMBC(_u12926, tc_fun(_u12926, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12926)), _u12927)))), hAPP(c_COMBC(_u12926, _u12928, tc_HOL_Obool), _u12931))))), _u12929)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u12932, _u12933, hAPP(hAPP(c_COMBS(_u12932, _u12933, _u12933), hAPP(hAPP(c_COMBS(_u12932, _u12933, tc_fun(_u12933, _u12933)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12933, tc_fun(_u12933, _u12933)), _u12932), c_If(_u12933)), _u12934)), _u12935)), _u12936)), _u12937) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12933, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12932, _u12933, _u12935), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12932, tc_HOL_Obool)), _u12937), hAPP(c_Set_OCollect(_u12932), _u12934)))), hAPP(c_Set_Oimage(_u12932, _u12933, _u12936), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12932, tc_HOL_Obool)), _u12937), hAPP(c_Set_OCollect(_u12932), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12932), c_fNot), _u12934)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u12938 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12939, _u12940), 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)), _u12941)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12939), _u12938)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12943), _u12944)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12943, _u12942), _u12945), hAPP(c_Set_OCollect(_u12943), hAPP(hAPP(c_COMBS(_u12943, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12943), c_fconj), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12943, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12943)), _u12944))), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12943, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12943)), _u12946)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12943, _u12942), hAPP(hAPP(c_COMBC(_u12943, _u12942, _u12942), hAPP(hAPP(c_COMBS(_u12943, _u12942, tc_fun(_u12942, _u12942)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12942, tc_fun(_u12942, _u12942)), _u12943), c_If(_u12942)), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12943, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12943)), _u12946))), _u12945)), c_Groups_Ozero__class_Ozero(_u12942))), _u12944)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12947) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12948), _u12949)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12948, _u12947), _u12950), _u12949) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12951, _u12947), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_HOL_Obool), _u12947, _u12951), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12948, _u12947), _u12950)), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_HOL_Obool), tc_fun(_u12948, tc_HOL_Obool), _u12951), c_Set_OCollect(_u12948)), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_HOL_Obool), tc_fun(_u12948, tc_HOL_Obool), _u12951), hAPP(c_COMBS(_u12948, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12948), c_fconj), hAPP(hAPP(c_COMBC(_u12948, tc_fun(_u12948, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12948)), _u12949)))), hAPP(c_COMBC(_u12948, _u12951, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12951, tc_fun(_u12951, tc_HOL_Obool), _u12948), c_fequal), _u12952)))))), hAPP(c_Set_Oimage(_u12948, _u12951, _u12952), _u12949))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u12953, _u12954, _u12955), hAPP(hAPP(c_Set_Oinsert(_u12953), _u12956), c_Orderings_Obot__class_Obot(tc_fun(_u12953, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u12954), hAPP(hAPP(c_COMBC(_u12954, tc_fun(tc_prod(_u12953, _u12954), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u12953, _u12954), tc_fun(tc_fun(tc_prod(_u12953, _u12954), tc_HOL_Obool), tc_HOL_Obool), _u12954), c_member(tc_prod(_u12953, _u12954))), hAPP(c_Product__Type_OPair(_u12953, _u12954), _u12956))), _u12955))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12957) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12958), _u12959)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12958, _u12957), hAPP(hAPP(c_COMBS(_u12958, _u12957, _u12957), hAPP(hAPP(c_COMBS(_u12958, _u12957, tc_fun(_u12957, _u12957)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12957, tc_fun(_u12957, _u12957)), _u12958), c_If(_u12957)), _u12960)), _u12961)), _u12962)), _u12959) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12957), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12958, _u12957), _u12961), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12958, tc_HOL_Obool)), _u12959), hAPP(c_Set_OCollect(_u12958), _u12960)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12958, _u12957), _u12962), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12958, tc_HOL_Obool)), _u12959), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12958, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12958), _u12960)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12964), _u12965)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12966), _u12967)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12964, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_Nat_Onat, _u12964), c_Finite__Set_Ocard(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_fun(_u12966, tc_HOL_Obool), _u12964), c_Set_OCollect(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_fun(_u12966, tc_HOL_Obool), _u12964), hAPP(c_COMBS(_u12966, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12966), c_fconj), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12966, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12966)), _u12967)))), _u12968)))), _u12965) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12969), hAPP(c_Finite__Set_Ocard(_u12966), _u12967))) | hBOOL(hAPP(hAPP(c_member(_u12966), skolem303(_u12969, _u12968, _u12967, _u12966, _u12965, _u12964)), _u12967)) )).
% 28.96/29.20 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12964), _u12965)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12966), _u12967)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12964, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_Nat_Onat, _u12964), c_Finite__Set_Ocard(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_fun(_u12966, tc_HOL_Obool), _u12964), c_Set_OCollect(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_fun(_u12966, tc_HOL_Obool), _u12964), hAPP(c_COMBS(_u12966, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12966), c_fconj), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12966, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12966)), _u12967)))), _u12968)))), _u12965) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12969), hAPP(c_Finite__Set_Ocard(_u12966), _u12967))) | ( hAPP(c_Finite__Set_Ocard(_u12964), hAPP(c_Set_OCollect(_u12964), hAPP(hAPP(c_COMBS(_u12964, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12964), c_fconj), hAPP(hAPP(c_COMBC(_u12964, tc_fun(_u12964, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12964)), _u12965))), hAPP(hAPP(c_COMBC(_u12964, _u12966, tc_HOL_Obool), _u12968), skolem303(_u12969, _u12968, _u12967, _u12966, _u12965, _u12964))))) != _u12969) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12970), _u12971)) | ( _u12971 = c_Orderings_Obot__class_Obot(tc_fun(_u12970, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12970), _u12972), c_Big__Operators_Olattice_OSup__fin(_u12970, c_Orderings_Oord__class_Omax(_u12970), _u12971)) = c_Big__Operators_Olattice_OSup__fin(_u12970, c_Orderings_Oord__class_Omax(_u12970), hAPP(c_Set_OCollect(_u12970), hAPP(hAPP(c_COMBB(tc_fun(_u12970, tc_HOL_Obool), tc_HOL_Obool, _u12970), c_HOL_OEx(_u12970)), hAPP(hAPP(c_COMBC(_u12970, tc_fun(_u12970, tc_HOL_Obool), tc_fun(_u12970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12970, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12970, tc_HOL_Obool), tc_fun(_u12970, tc_HOL_Obool)), _u12970), c_COMBS(_u12970, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12970, tc_HOL_Obool), tc_fun(_u12970, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12970), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12970), c_fconj)), hAPP(hAPP(c_COMBC(_u12970, tc_fun(_u12970, _u12970), tc_fun(_u12970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12970, tc_HOL_Obool), tc_fun(tc_fun(_u12970, _u12970), tc_fun(_u12970, tc_HOL_Obool)), _u12970), c_COMBB(_u12970, tc_HOL_Obool, _u12970)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u12970), _u12972))))), hAPP(hAPP(c_COMBC(_u12970, tc_fun(_u12970, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12970)), _u12971)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12973) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12973), _u12974)) | ( _u12974 = c_Orderings_Obot__class_Obot(tc_fun(_u12973, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12973), _u12975)) | ( _u12975 = c_Orderings_Obot__class_Obot(tc_fun(_u12973, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12973), c_Big__Operators_Olattice_OSup__fin(_u12973, c_Orderings_Oord__class_Omax(_u12973), _u12974)), c_Big__Operators_Olattice_OSup__fin(_u12973, c_Orderings_Oord__class_Omax(_u12973), _u12975)) = c_Big__Operators_Olattice_OSup__fin(_u12973, c_Orderings_Oord__class_Omax(_u12973), hAPP(c_Set_OCollect(_u12973), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_HOL_Obool), tc_HOL_Obool, _u12973), c_HOL_OEx(_u12973)), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool)), tc_fun(_u12973, tc_HOL_Obool), _u12973), hAPP(c_COMBB(tc_fun(_u12973, tc_HOL_Obool), tc_HOL_Obool, _u12973), c_HOL_OEx(_u12973))), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool)), tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_fun(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool))), tc_fun(tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool)), tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool))), _u12973), c_COMBS(_u12973, tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_fun(_u12973, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12973, tc_fun(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool))), _u12973), hAPP(c_COMBB(tc_fun(_u12973, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool)), _u12973), c_COMBS(_u12973, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool)), tc_fun(_u12973, tc_fun(_u12973, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12973), hAPP(c_COMBB(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12973), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12973), c_fconj))), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_fun(_u12973, _u12973)), tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12973, _u12973), tc_fun(_u12973, tc_HOL_Obool)), tc_fun(tc_fun(_u12973, tc_fun(_u12973, _u12973)), tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool))), _u12973), c_COMBB(tc_fun(_u12973, _u12973), tc_fun(_u12973, tc_HOL_Obool), _u12973)), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_HOL_Obool), tc_fun(tc_fun(_u12973, _u12973), tc_fun(_u12973, tc_HOL_Obool)), _u12973), c_COMBB(_u12973, tc_HOL_Obool, _u12973)), c_fequal))), c_Orderings_Oord__class_Omin(_u12973)))))), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool)), _u12973), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12973)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12973), c_fconj), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12973)), _u12974)))), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12973)), _u12975)))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12976), _u12977)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12976, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u12976, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12976, tc_HOL_Obool), tc_fun(_u12976, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12976, tc_HOL_Obool))), _u12977)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u12978), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12978, tc_HOL_Obool)), _u12979)) = hAPP(c_Set_OCollect(tc_fun(_u12978, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12978, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u12978, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u12978, tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12978, tc_HOL_Obool)), c_COMBS(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12978, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12978, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u12978, tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_fun(_u12978, tc_HOL_Obool)), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_fun(_u12978, tc_HOL_Obool)), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12978, tc_HOL_Obool)), c_COMBB(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12978, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u12978, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12978, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u12978, tc_HOL_Obool)), _u12979)), c_Set_OPow(_u12978)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u12980) = hAPP(c_Set_OCollect(tc_prod(_u12980, _u12980)), hAPP(hAPP(c_COMBB(tc_fun(_u12980, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u12980, _u12980)), c_HOL_OEx(_u12980)), hAPP(hAPP(c_COMBC(tc_prod(_u12980, _u12980), tc_fun(_u12980, tc_prod(_u12980, _u12980)), tc_fun(_u12980, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12980, _u12980), tc_HOL_Obool), tc_fun(tc_fun(_u12980, tc_prod(_u12980, _u12980)), tc_fun(_u12980, tc_HOL_Obool)), tc_prod(_u12980, _u12980)), c_COMBB(tc_prod(_u12980, _u12980), tc_HOL_Obool, _u12980)), c_fequal)), hAPP(hAPP(c_COMBS(_u12980, _u12980, tc_prod(_u12980, _u12980)), c_Product__Type_OPair(_u12980, _u12980)), c_COMBI(_u12980)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u12981), _u12982) = hAPP(c_Set_OCollect(tc_fun(_u12981, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12981, tc_HOL_Obool), tc_fun(_u12981, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12981, tc_HOL_Obool))), _u12982))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12983), hAPP(c_Set_OCollect(_u12983), _u12984))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12985), hAPP(c_Set_OCollect(_u12985), hAPP(hAPP(c_COMBB(tc_fun(_u12983, tc_HOL_Obool), tc_HOL_Obool, _u12985), c_HOL_OEx(_u12983)), hAPP(hAPP(c_COMBC(_u12985, tc_fun(_u12983, tc_HOL_Obool), tc_fun(_u12983, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12983, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12983, tc_HOL_Obool), tc_fun(_u12983, tc_HOL_Obool)), _u12985), c_COMBS(_u12983, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12983, tc_HOL_Obool), tc_fun(_u12983, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12985), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12983), c_fconj)), hAPP(hAPP(c_COMBC(_u12985, tc_fun(_u12983, _u12985), tc_fun(_u12983, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12985, tc_HOL_Obool), tc_fun(tc_fun(_u12983, _u12985), tc_fun(_u12983, tc_HOL_Obool)), _u12985), c_COMBB(_u12985, tc_HOL_Obool, _u12983)), c_fequal)), _u12986)))), _u12984))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12989), hAPP(c_Set_OCollect(_u12989), _u12990))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_HOL_Obool, _u12991), c_HOL_OEx(_u12989)), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_fun(_u12989, tc_HOL_Obool), _u12991), hAPP(c_COMBS(_u12989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12989), c_fconj), _u12990))), _u12992))))) | ~hBOOL(hAPP(_u12990, _u12987)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBC(_u12991, _u12989, tc_HOL_Obool), _u12992), _u12987)))) )).
% 28.96/29.20 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12989), hAPP(c_Set_OCollect(_u12989), _u12990))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_HOL_Obool, _u12991), c_HOL_OEx(_u12989)), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_fun(_u12989, tc_HOL_Obool), _u12991), hAPP(c_COMBS(_u12989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12989), c_fconj), _u12990))), _u12992))))) | hBOOL(hAPP(_u12990, skolem304(_u12992, _u12991, _u12990, _u12989))) )).
% 28.96/29.20 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12989), hAPP(c_Set_OCollect(_u12989), _u12990))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_HOL_Obool, _u12991), c_HOL_OEx(_u12989)), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_fun(_u12989, tc_HOL_Obool), _u12991), hAPP(c_COMBS(_u12989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12989), c_fconj), _u12990))), _u12992))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBC(_u12991, _u12989, tc_HOL_Obool), _u12992), skolem304(_u12992, _u12991, _u12990, _u12989))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u12993, _u12994), tc_fun(tc_prod(_u12993, _u12994), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12993, _u12994), tc_HOL_Obool), tc_fun(tc_prod(_u12993, _u12994), tc_HOL_Obool), tc_fun(_u12993, _u12994)), c_Set_OCollect(tc_prod(_u12993, _u12994))), hAPP(hAPP(c_COMBB(tc_fun(_u12993, tc_fun(_u12994, tc_HOL_Obool)), tc_fun(tc_prod(_u12993, _u12994), tc_HOL_Obool), tc_fun(_u12993, _u12994)), c_Product__Type_Oprod_Oprod__case(_u12993, _u12994, tc_HOL_Obool)), hAPP(c_COMBB(_u12994, tc_fun(_u12994, tc_HOL_Obool), _u12993), hAPP(c_COMBC(_u12994, _u12994, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12993, _u12994), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 28.96/29.20 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)))), _u12995))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u12996) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12996, tc_HOL_Obool), tc_fun(_u12996, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12996, tc_HOL_Obool), tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12996, tc_HOL_Obool), tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12996, tc_HOL_Obool)), c_COMBS(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12996, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12996, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12996, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12996))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12997, _u12998), _u12999), _u13000) = hAPP(c_Set_OCollect(tc_prod(_u12998, _u12998)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12998, _u12998, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12998, tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_fun(_u12998, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12998, tc_fun(tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_fun(_u12998, tc_HOL_Obool)), _u12998), c_COMBC(_u12998, tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12998, tc_prod(_u12997, _u12997)), tc_fun(_u12998, tc_fun(tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_HOL_Obool)), _u12998), hAPP(c_COMBB(tc_prod(_u12997, _u12997), tc_fun(tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_HOL_Obool), _u12998), c_member(tc_prod(_u12997, _u12997)))), hAPP(hAPP(c_COMBC(_u12998, tc_fun(_u12998, _u12997), tc_fun(_u12998, tc_prod(_u12997, _u12997))), hAPP(hAPP(c_COMBB(tc_fun(_u12997, tc_prod(_u12997, _u12997)), tc_fun(tc_fun(_u12998, _u12997), tc_fun(_u12998, tc_prod(_u12997, _u12997))), _u12998), c_COMBB(_u12997, tc_prod(_u12997, _u12997), _u12998)), hAPP(hAPP(c_COMBB(_u12997, tc_fun(_u12997, tc_prod(_u12997, _u12997)), _u12998), c_Product__Type_OPair(_u12997, _u12997)), _u13000))), _u13000)))), _u12999)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 28.96/29.20 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)))), _u13001)) = 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), _u13001), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u13002) = 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), _u13002), c_Int_Onat))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u13003) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13003), _u13004)) | ( _u13004 = c_Orderings_Obot__class_Obot(tc_fun(_u13003, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13003), _u13005), c_Big__Operators_Olinorder__class_OMin(_u13003, _u13004)) = c_Big__Operators_Olinorder__class_OMin(_u13003, hAPP(c_Set_OCollect(_u13003), hAPP(hAPP(c_COMBB(tc_fun(_u13003, tc_HOL_Obool), tc_HOL_Obool, _u13003), c_HOL_OEx(_u13003)), hAPP(hAPP(c_COMBC(_u13003, tc_fun(_u13003, tc_HOL_Obool), tc_fun(_u13003, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13003, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13003, tc_HOL_Obool), tc_fun(_u13003, tc_HOL_Obool)), _u13003), c_COMBS(_u13003, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13003, tc_HOL_Obool), tc_fun(_u13003, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13003), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13003), c_fconj)), hAPP(hAPP(c_COMBC(_u13003, tc_fun(_u13003, _u13003), tc_fun(_u13003, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13003, tc_HOL_Obool), tc_fun(tc_fun(_u13003, _u13003), tc_fun(_u13003, tc_HOL_Obool)), _u13003), c_COMBB(_u13003, tc_HOL_Obool, _u13003)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u13003), _u13005))))), hAPP(hAPP(c_COMBC(_u13003, tc_fun(_u13003, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13003)), _u13004)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u13006) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13006), _u13007)) | ( _u13007 = c_Orderings_Obot__class_Obot(tc_fun(_u13006, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13006), _u13008), c_Big__Operators_Olinorder__class_OMax(_u13006, _u13007)) = c_Big__Operators_Olinorder__class_OMax(_u13006, hAPP(c_Set_OCollect(_u13006), hAPP(hAPP(c_COMBB(tc_fun(_u13006, tc_HOL_Obool), tc_HOL_Obool, _u13006), c_HOL_OEx(_u13006)), hAPP(hAPP(c_COMBC(_u13006, tc_fun(_u13006, tc_HOL_Obool), tc_fun(_u13006, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13006, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13006, tc_HOL_Obool), tc_fun(_u13006, tc_HOL_Obool)), _u13006), c_COMBS(_u13006, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13006, tc_HOL_Obool), tc_fun(_u13006, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13006), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13006), c_fconj)), hAPP(hAPP(c_COMBC(_u13006, tc_fun(_u13006, _u13006), tc_fun(_u13006, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13006, tc_HOL_Obool), tc_fun(tc_fun(_u13006, _u13006), tc_fun(_u13006, tc_HOL_Obool)), _u13006), c_COMBB(_u13006, tc_HOL_Obool, _u13006)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u13006), _u13008))))), hAPP(hAPP(c_COMBC(_u13006, tc_fun(_u13006, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13006)), _u13007)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u13009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13009), _u13010)) | ( _u13010 = c_Orderings_Obot__class_Obot(tc_fun(_u13009, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u13009), _u13011), c_Big__Operators_Olattice__class_OInf__fin(_u13009, _u13010)) = c_Big__Operators_Olattice__class_OInf__fin(_u13009, hAPP(c_Set_OCollect(_u13009), hAPP(hAPP(c_COMBB(tc_fun(_u13009, tc_HOL_Obool), tc_HOL_Obool, _u13009), c_HOL_OEx(_u13009)), hAPP(hAPP(c_COMBC(_u13009, tc_fun(_u13009, tc_HOL_Obool), tc_fun(_u13009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13009, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13009, tc_HOL_Obool), tc_fun(_u13009, tc_HOL_Obool)), _u13009), c_COMBS(_u13009, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13009, tc_HOL_Obool), tc_fun(_u13009, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13009), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13009), c_fconj)), hAPP(hAPP(c_COMBC(_u13009, tc_fun(_u13009, _u13009), tc_fun(_u13009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13009, tc_HOL_Obool), tc_fun(tc_fun(_u13009, _u13009), tc_fun(_u13009, tc_HOL_Obool)), _u13009), c_COMBB(_u13009, tc_HOL_Obool, _u13009)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u13009), _u13011))))), hAPP(hAPP(c_COMBC(_u13009, tc_fun(_u13009, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13009)), _u13010)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u13012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13012), _u13013)) | ( _u13013 = c_Orderings_Obot__class_Obot(tc_fun(_u13012, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13012), _u13014)) | ( _u13014 = c_Orderings_Obot__class_Obot(tc_fun(_u13012, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u13012), c_Big__Operators_Olattice__class_OInf__fin(_u13012, _u13013)), c_Big__Operators_Olattice__class_OInf__fin(_u13012, _u13014)) = c_Big__Operators_Olattice__class_OInf__fin(_u13012, hAPP(c_Set_OCollect(_u13012), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_HOL_Obool), tc_HOL_Obool, _u13012), c_HOL_OEx(_u13012)), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool)), tc_fun(_u13012, tc_HOL_Obool), _u13012), hAPP(c_COMBB(tc_fun(_u13012, tc_HOL_Obool), tc_HOL_Obool, _u13012), c_HOL_OEx(_u13012))), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool)), tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_fun(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool))), tc_fun(tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool)), tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool))), _u13012), c_COMBS(_u13012, tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_fun(_u13012, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13012, tc_fun(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool))), _u13012), hAPP(c_COMBB(tc_fun(_u13012, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool)), _u13012), c_COMBS(_u13012, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool)), tc_fun(_u13012, tc_fun(_u13012, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13012), hAPP(c_COMBB(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13012), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13012), c_fconj))), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_fun(_u13012, _u13012)), tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13012, _u13012), tc_fun(_u13012, tc_HOL_Obool)), tc_fun(tc_fun(_u13012, tc_fun(_u13012, _u13012)), tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool))), _u13012), c_COMBB(tc_fun(_u13012, _u13012), tc_fun(_u13012, tc_HOL_Obool), _u13012)), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_HOL_Obool), tc_fun(tc_fun(_u13012, _u13012), tc_fun(_u13012, tc_HOL_Obool)), _u13012), c_COMBB(_u13012, tc_HOL_Obool, _u13012)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u13012)))))), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool)), _u13012), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13012)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13012), c_fconj), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13012)), _u13013)))), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13012)), _u13014)))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u13015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13015), _u13016)) | ( _u13016 = c_Orderings_Obot__class_Obot(tc_fun(_u13015, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13015), _u13017)) | ( _u13017 = c_Orderings_Obot__class_Obot(tc_fun(_u13015, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13015), c_Big__Operators_Olattice__class_OSup__fin(_u13015, _u13016)), c_Big__Operators_Olattice__class_OSup__fin(_u13015, _u13017)) = c_Big__Operators_Olattice__class_OSup__fin(_u13015, hAPP(c_Set_OCollect(_u13015), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_HOL_Obool), tc_HOL_Obool, _u13015), c_HOL_OEx(_u13015)), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool)), tc_fun(_u13015, tc_HOL_Obool), _u13015), hAPP(c_COMBB(tc_fun(_u13015, tc_HOL_Obool), tc_HOL_Obool, _u13015), c_HOL_OEx(_u13015))), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool)), tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_fun(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool))), tc_fun(tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool)), tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool))), _u13015), c_COMBS(_u13015, tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_fun(_u13015, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13015, tc_fun(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool))), _u13015), hAPP(c_COMBB(tc_fun(_u13015, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool)), _u13015), c_COMBS(_u13015, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool)), tc_fun(_u13015, tc_fun(_u13015, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13015), hAPP(c_COMBB(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13015), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13015), c_fconj))), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_fun(_u13015, _u13015)), tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13015, _u13015), tc_fun(_u13015, tc_HOL_Obool)), tc_fun(tc_fun(_u13015, tc_fun(_u13015, _u13015)), tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool))), _u13015), c_COMBB(tc_fun(_u13015, _u13015), tc_fun(_u13015, tc_HOL_Obool), _u13015)), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_HOL_Obool), tc_fun(tc_fun(_u13015, _u13015), tc_fun(_u13015, tc_HOL_Obool)), _u13015), c_COMBB(_u13015, tc_HOL_Obool, _u13015)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u13015)))))), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool)), _u13015), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13015)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13015), c_fconj), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13015)), _u13016)))), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13015)), _u13017)))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u13018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13018), _u13019)) | ( _u13019 = c_Orderings_Obot__class_Obot(tc_fun(_u13018, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13018), _u13020), c_Big__Operators_Olattice__class_OSup__fin(_u13018, _u13019)) = c_Big__Operators_Olattice__class_OSup__fin(_u13018, hAPP(c_Set_OCollect(_u13018), hAPP(hAPP(c_COMBB(tc_fun(_u13018, tc_HOL_Obool), tc_HOL_Obool, _u13018), c_HOL_OEx(_u13018)), hAPP(hAPP(c_COMBC(_u13018, tc_fun(_u13018, tc_HOL_Obool), tc_fun(_u13018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13018, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13018, tc_HOL_Obool), tc_fun(_u13018, tc_HOL_Obool)), _u13018), c_COMBS(_u13018, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13018, tc_HOL_Obool), tc_fun(_u13018, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13018), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13018), c_fconj)), hAPP(hAPP(c_COMBC(_u13018, tc_fun(_u13018, _u13018), tc_fun(_u13018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13018, tc_HOL_Obool), tc_fun(tc_fun(_u13018, _u13018), tc_fun(_u13018, tc_HOL_Obool)), _u13018), c_COMBB(_u13018, tc_HOL_Obool, _u13018)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13018), _u13020))))), hAPP(hAPP(c_COMBC(_u13018, tc_fun(_u13018, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13018)), _u13019)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u13021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13021), _u13022)) | ( _u13022 = c_Orderings_Obot__class_Obot(tc_fun(_u13021, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13021), _u13023)) | ( _u13023 = c_Orderings_Obot__class_Obot(tc_fun(_u13021, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u13021), c_Big__Operators_Olattice_OInf__fin(_u13021, c_Orderings_Oord__class_Omin(_u13021), _u13022)), c_Big__Operators_Olattice_OInf__fin(_u13021, c_Orderings_Oord__class_Omin(_u13021), _u13023)) = c_Big__Operators_Olattice_OInf__fin(_u13021, c_Orderings_Oord__class_Omin(_u13021), hAPP(c_Set_OCollect(_u13021), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_HOL_Obool), tc_HOL_Obool, _u13021), c_HOL_OEx(_u13021)), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool)), tc_fun(_u13021, tc_HOL_Obool), _u13021), hAPP(c_COMBB(tc_fun(_u13021, tc_HOL_Obool), tc_HOL_Obool, _u13021), c_HOL_OEx(_u13021))), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool)), tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_fun(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool))), tc_fun(tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool)), tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool))), _u13021), c_COMBS(_u13021, tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_fun(_u13021, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13021, tc_fun(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool))), _u13021), hAPP(c_COMBB(tc_fun(_u13021, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool)), _u13021), c_COMBS(_u13021, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool)), tc_fun(_u13021, tc_fun(_u13021, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13021), hAPP(c_COMBB(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13021), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13021), c_fconj))), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_fun(_u13021, _u13021)), tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13021, _u13021), tc_fun(_u13021, tc_HOL_Obool)), tc_fun(tc_fun(_u13021, tc_fun(_u13021, _u13021)), tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool))), _u13021), c_COMBB(tc_fun(_u13021, _u13021), tc_fun(_u13021, tc_HOL_Obool), _u13021)), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_HOL_Obool), tc_fun(tc_fun(_u13021, _u13021), tc_fun(_u13021, tc_HOL_Obool)), _u13021), c_COMBB(_u13021, tc_HOL_Obool, _u13021)), c_fequal))), c_Orderings_Oord__class_Omax(_u13021)))))), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool)), _u13021), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13021)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13021), c_fconj), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13021)), _u13022)))), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13021)), _u13023)))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u13024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13024), _u13025)) | ( _u13025 = c_Orderings_Obot__class_Obot(tc_fun(_u13024, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u13024), _u13026), c_Big__Operators_Olattice_OInf__fin(_u13024, c_Orderings_Oord__class_Omin(_u13024), _u13025)) = c_Big__Operators_Olattice_OInf__fin(_u13024, c_Orderings_Oord__class_Omin(_u13024), hAPP(c_Set_OCollect(_u13024), hAPP(hAPP(c_COMBB(tc_fun(_u13024, tc_HOL_Obool), tc_HOL_Obool, _u13024), c_HOL_OEx(_u13024)), hAPP(hAPP(c_COMBC(_u13024, tc_fun(_u13024, tc_HOL_Obool), tc_fun(_u13024, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13024, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13024, tc_HOL_Obool), tc_fun(_u13024, tc_HOL_Obool)), _u13024), c_COMBS(_u13024, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13024, tc_HOL_Obool), tc_fun(_u13024, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13024), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13024), c_fconj)), hAPP(hAPP(c_COMBC(_u13024, tc_fun(_u13024, _u13024), tc_fun(_u13024, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13024, tc_HOL_Obool), tc_fun(tc_fun(_u13024, _u13024), tc_fun(_u13024, tc_HOL_Obool)), _u13024), c_COMBB(_u13024, tc_HOL_Obool, _u13024)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u13024), _u13026))))), hAPP(hAPP(c_COMBC(_u13024, tc_fun(_u13024, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13024)), _u13025)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u13027, _u13028, _u13029, _u13030) = hAPP(c_Set_OCollect(tc_prod(_u13027, _u13028)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13027, _u13028, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13027, tc_fun(_u13028, tc_HOL_Obool), tc_fun(_u13028, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13028, tc_HOL_Obool), tc_fun(_u13028, tc_HOL_Obool)), _u13027), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13028)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13027), c_fconj), hAPP(hAPP(c_COMBC(_u13027, tc_fun(_u13027, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13027)), _u13029)))), hAPP(hAPP(c_COMBC(_u13028, tc_fun(_u13028, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13028)), _u13030))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u13031) = 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), _u13031)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u13032) = 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), _u13032)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u13035, _u13037) | c_Relation_Orefl__on(_u13035, c_Orderings_Otop__class_Otop(tc_fun(_u13035, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13035, _u13035)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13035, _u13035, tc_HOL_Obool), _u13037))) )).
% 28.96/29.20 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u13036, c_Orderings_Otop__class_Otop(tc_fun(_u13036, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13036, _u13036)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13036, _u13036, tc_HOL_Obool), _u13038))) | c_Predicate_Oreflp(_u13036, _u13038) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u13039) | ~c_Fun_Oinj__on(tc_prod(_u13040, _u13041), _u13039, hAPP(c_Product__Type_Oprod_Oprod__case(_u13040, _u13041, _u13039), hAPP(hAPP(c_COMBC(_u13040, tc_fun(_u13041, _u13039), tc_fun(_u13041, _u13039)), hAPP(hAPP(c_COMBB(tc_fun(_u13039, _u13039), tc_fun(tc_fun(_u13041, _u13039), tc_fun(_u13041, _u13039)), _u13040), c_COMBB(_u13039, _u13039, _u13041)), hAPP(hAPP(c_COMBB(_u13039, tc_fun(_u13039, _u13039), _u13040), c_Groups_Otimes__class_Otimes(_u13039)), _u13042))), _u13043)), hAPP(hAPP(c_Product__Type_OSigma(_u13040, _u13041), _u13044), hAPP(c_COMBK(tc_fun(_u13041, tc_HOL_Obool), _u13040), _u13045))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13039), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13040, _u13039), _u13042), _u13044)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13041, _u13039), _u13043), _u13045)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13039, _u13039), c_Fun_Oid(_u13039)), hAPP(c_Set_OCollect(_u13039), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_HOL_Obool), tc_HOL_Obool, _u13039), c_HOL_OEx(_u13040)), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool)), tc_fun(_u13040, tc_HOL_Obool), _u13039), hAPP(c_COMBB(tc_fun(_u13041, tc_HOL_Obool), tc_HOL_Obool, _u13040), c_HOL_OEx(_u13041))), hAPP(hAPP(c_COMBC(_u13039, tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool)), tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_fun(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool))), tc_fun(tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool)), tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool))), _u13039), c_COMBS(_u13040, tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_fun(_u13041, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13040, tc_fun(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool))), _u13039), hAPP(c_COMBB(tc_fun(_u13041, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool)), _u13040), c_COMBS(_u13041, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool)), tc_fun(_u13040, tc_fun(_u13041, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13039), hAPP(c_COMBB(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13040), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13041), c_fconj))), hAPP(hAPP(c_COMBC(_u13039, tc_fun(_u13040, tc_fun(_u13041, _u13039)), tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13041, _u13039), tc_fun(_u13041, tc_HOL_Obool)), tc_fun(tc_fun(_u13040, tc_fun(_u13041, _u13039)), tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool))), _u13039), c_COMBB(tc_fun(_u13041, _u13039), tc_fun(_u13041, tc_HOL_Obool), _u13040)), hAPP(hAPP(c_COMBB(tc_fun(_u13039, tc_HOL_Obool), tc_fun(tc_fun(_u13041, _u13039), tc_fun(_u13041, tc_HOL_Obool)), _u13039), c_COMBB(_u13039, tc_HOL_Obool, _u13041)), c_fequal))), hAPP(hAPP(c_COMBC(_u13040, tc_fun(_u13041, _u13039), tc_fun(_u13041, _u13039)), hAPP(hAPP(c_COMBB(tc_fun(_u13039, _u13039), tc_fun(tc_fun(_u13041, _u13039), tc_fun(_u13041, _u13039)), _u13040), c_COMBB(_u13039, _u13039, _u13041)), hAPP(hAPP(c_COMBB(_u13039, tc_fun(_u13039, _u13039), _u13040), c_Groups_Otimes__class_Otimes(_u13039)), _u13042))), _u13043)))))), hAPP(hAPP(c_COMBC(_u13040, tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool)), _u13040), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13041)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13040), c_fconj), hAPP(hAPP(c_COMBC(_u13040, tc_fun(_u13040, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13040)), _u13044)))), hAPP(hAPP(c_COMBC(_u13041, tc_fun(_u13041, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13041)), _u13045)))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13046)), c_List_Osublist(_u13046, _u13047, _u13048)) = 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(_u13046)), _u13047)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u13048))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u13049, _u13049, c_Fun_Oid(_u13049), _u13050) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_id__o ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13051, _u13051, _u13052, c_Fun_Oid(_u13051)), _u13053) = _u13053) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_o__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13054, _u13055, _u13054, _u13056), c_Fun_Oid(_u13054)) = _u13056) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13060, hAPP(_u13061, _u13063)) = hAPP(_u13062, _u13063)) | ( hAPP(c_Fun_Ocomp(_u13057, _u13058, _u13059, _u13060), _u13061) != hAPP(c_Fun_Ocomp(_u13058, _u13058, _u13059, c_Fun_Oid(_u13058)), _u13062)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u13064, _u13064, _u13065, c_Fun_Oid(_u13064)) = c_Fun_Oid(tc_prod(_u13064, _u13065))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_id__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u13066), _u13067) = _u13067) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u13068), _u13069) = _u13069) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u13070, _u13070, _u13071, c_Fun_Oid(_u13070)) = c_Fun_Oid(tc_prod(_u13071, _u13070))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u13073, _u13074), _u13074)) | ~c_Predicate_Oreflp(_u13072, _u13073) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u13076 != _u13077) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13075)), _u13076) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13075)), _u13077)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13078, _u13078, c_Fun_Oid(_u13078)), _u13079) = _u13079) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u13080, _u13080, _u13081, _u13081, c_Fun_Oid(_u13080), c_Fun_Oid(_u13081)) = c_Fun_Oid(tc_prod(_u13080, _u13081))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u13082, _u13082, _u13083, _u13083, c_COMBI(_u13082), c_COMBI(_u13083)) = c_Fun_Oid(tc_prod(_u13082, _u13083))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_image__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13084, _u13084, c_Fun_Oid(_u13084)), _u13085) = _u13085) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13086, _u13086, c_Fun_Oid(_u13086)), c_Orderings_Otop__class_Otop(tc_fun(_u13086, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13086, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u13087, _u13087), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13088) = c_Fun_Oid(_u13087)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13089, _u13090, _u13091, _u13092) | ( hAPP(_u13092, c_Orderings_Obot__class_Obot(tc_fun(_u13089, tc_HOL_Obool))) = c_Fun_Oid(_u13090)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u13093, _u13094, _u13095, _u13096) = c_Product__Type_Omap__pair(_u13093, _u13094, _u13095, _u13095, _u13096, c_Fun_Oid(_u13095))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u13097, _u13098, _u13099, _u13100) = c_Product__Type_Omap__pair(_u13099, _u13099, _u13097, _u13098, c_Fun_Oid(_u13099), _u13100)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13101, _u13102, tc_prod(_u13101, _u13102)), c_Product__Type_OPair(_u13101, _u13102)) = c_Fun_Oid(tc_prod(_u13101, _u13102))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13103) | ~c_Fun_Oinj__on(_u13104, _u13103, _u13105, _u13106) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13104, _u13103), _u13105), _u13106) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13103, _u13103), c_Fun_Oid(_u13103)), hAPP(c_Set_Oimage(_u13104, _u13103, _u13105), _u13106))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13107) | ~c_Fun_Oinj__on(_u13108, _u13107, _u13109, _u13110) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13108, _u13107), _u13109), _u13110) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13107, _u13107), c_Fun_Oid(_u13107)), hAPP(c_Set_Oimage(_u13108, _u13107, _u13109), _u13110))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13112), _u13113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13114), _u13115)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13112, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_Nat_Onat, _u13112), c_Finite__Set_Ocard(_u13114)), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_fun(_u13114, tc_HOL_Obool), _u13112), c_Set_OCollect(_u13114)), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_fun(_u13114, tc_HOL_Obool), _u13112), hAPP(c_COMBS(_u13114, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13114), c_fconj), hAPP(hAPP(c_COMBC(_u13114, tc_fun(_u13114, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13114)), _u13115)))), _u13116)))), _u13113) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13114, tc_Nat_Onat), _u13117), _u13115)) | hBOOL(hAPP(hAPP(c_member(_u13114), skolem305(_u13117, _u13116, _u13115, _u13114, _u13113, _u13112)), _u13115)) )).
% 28.96/29.20 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13112), _u13113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13114), _u13115)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13112, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_Nat_Onat, _u13112), c_Finite__Set_Ocard(_u13114)), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_fun(_u13114, tc_HOL_Obool), _u13112), c_Set_OCollect(_u13114)), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_fun(_u13114, tc_HOL_Obool), _u13112), hAPP(c_COMBS(_u13114, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13114), c_fconj), hAPP(hAPP(c_COMBC(_u13114, tc_fun(_u13114, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13114)), _u13115)))), _u13116)))), _u13113) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13114, tc_Nat_Onat), _u13117), _u13115)) | ( hAPP(c_Finite__Set_Ocard(_u13112), hAPP(c_Set_OCollect(_u13112), hAPP(hAPP(c_COMBS(_u13112, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13112), c_fconj), hAPP(hAPP(c_COMBC(_u13112, tc_fun(_u13112, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13112)), _u13113))), hAPP(hAPP(c_COMBC(_u13112, _u13114, tc_HOL_Obool), _u13116), skolem305(_u13117, _u13116, _u13115, _u13114, _u13113, _u13112))))) != hAPP(_u13117, skolem305(_u13117, _u13116, _u13115, _u13114, _u13113, _u13112))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13124), _u13126)) | ( _u13126 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u13124, skolem307(_u13126, _u13124)), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), skolem306(_u13126, _u13124))))) )).
% 28.96/29.20 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u13127 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u13125, _u13120), 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)), _u13121)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13125), _u13127)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13128, _u13129, _u13130), _u13131), _u13132) = hAPP(c_Set_OCollect(tc_prod(_u13128, _u13130)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13128, _u13130, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool)), tc_fun(_u13130, tc_HOL_Obool), _u13128), hAPP(c_COMBB(tc_fun(_u13129, tc_HOL_Obool), tc_HOL_Obool, _u13130), c_HOL_OEx(_u13129))), hAPP(hAPP(c_COMBC(_u13128, tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool)), tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13129, tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), tc_fun(tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool)), tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool))), _u13128), c_COMBB(tc_fun(_u13129, tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool), _u13130)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13129, tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), _u13128), c_COMBS(_u13129, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_HOL_Obool), tc_fun(_u13129, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13128), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13129), c_fconj)), hAPP(hAPP(c_COMBC(_u13128, tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_fun(tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), _u13128), c_COMBC(_u13129, tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_prod(_u13128, _u13129)), tc_fun(_u13129, tc_fun(tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_HOL_Obool)), _u13128), hAPP(c_COMBB(tc_prod(_u13128, _u13129), tc_fun(tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_HOL_Obool), _u13129), c_member(tc_prod(_u13128, _u13129)))), c_Product__Type_OPair(_u13128, _u13129)))), _u13131))))), hAPP(hAPP(c_COMBC(_u13130, tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_fun(tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), _u13130), c_COMBC(_u13129, tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_prod(_u13129, _u13130)), tc_fun(_u13129, tc_fun(tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_HOL_Obool)), _u13130), hAPP(c_COMBB(tc_prod(_u13129, _u13130), tc_fun(tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_HOL_Obool), _u13129), c_member(tc_prod(_u13129, _u13130)))), hAPP(c_COMBC(_u13129, _u13130, tc_prod(_u13129, _u13130)), c_Product__Type_OPair(_u13129, _u13130))))), _u13132)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13133, _u13134)), hAPP(hAPP(c_Product__Type_OPair(_u13133, _u13134), _u13135), _u13136)), _u13137)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13134, _u13138)), hAPP(hAPP(c_Product__Type_OPair(_u13134, _u13138), _u13136), _u13139)), _u13140)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13133, _u13138)), hAPP(hAPP(c_Product__Type_OPair(_u13133, _u13138), _u13135), _u13139)), hAPP(hAPP(c_Relation_Orel__comp(_u13133, _u13134, _u13138), _u13137), _u13140))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13141, _u13142, _u13143), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13144, tc_fun(tc_prod(_u13141, _u13142), tc_HOL_Obool)), _u13145), _u13146)), _u13147) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13144, tc_fun(tc_prod(_u13141, _u13143), tc_HOL_Obool)), _u13145), hAPP(hAPP(c_COMBC(_u13144, tc_fun(tc_prod(_u13142, _u13143), tc_HOL_Obool), tc_fun(tc_prod(_u13141, _u13143), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13141, _u13142), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13142, _u13143), tc_HOL_Obool), tc_fun(tc_prod(_u13141, _u13143), tc_HOL_Obool)), _u13144), c_Relation_Orel__comp(_u13141, _u13142, _u13143)), _u13146)), _u13147))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13148, _u13149, _u13150), _u13151), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13152, tc_fun(tc_prod(_u13149, _u13150), tc_HOL_Obool)), _u13153), _u13154)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13152, tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool)), _u13153), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13149, _u13150), tc_HOL_Obool), tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), _u13152), hAPP(c_Relation_Orel__comp(_u13148, _u13149, _u13150), _u13151)), _u13154))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13155, _u13155, _u13155), _u13156), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13155, _u13155), tc_HOL_Obool), _u13157), _u13156)) = hAPP(hAPP(c_Relation_Orel__comp(_u13155, _u13155, _u13155), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13155, _u13155), tc_HOL_Obool), _u13157), _u13156)), _u13156)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13158, _u13159, _u13159), _u13160), c_Relation_OId(_u13159)) = _u13160) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13161, _u13161, _u13162), c_Relation_OId(_u13161)), _u13163) = _u13163) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13164, _u13165, _u13166), hAPP(hAPP(c_Relation_Orel__comp(_u13164, _u13167, _u13165), _u13168), _u13169)), _u13170) = hAPP(hAPP(c_Relation_Orel__comp(_u13164, _u13167, _u13166), _u13168), hAPP(hAPP(c_Relation_Orel__comp(_u13167, _u13165, _u13166), _u13169), _u13170))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13171, _u13172, _u13173), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13171, _u13172), tc_HOL_Obool))), _u13174) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13175, _u13176, _u13177), _u13178), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13175, _u13177), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13179, _u13180), tc_HOL_Obool)), _u13181), _u13182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13180, _u13183), tc_HOL_Obool)), _u13184), _u13185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13179, _u13183), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13179, _u13180, _u13183), _u13181), _u13184)), hAPP(hAPP(c_Relation_Orel__comp(_u13179, _u13180, _u13183), _u13182), _u13185))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13186, _u13187, _u13188), _u13189), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), _u13190), _u13191)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13186, _u13187, _u13188), _u13189), _u13190)), hAPP(hAPP(c_Relation_Orel__comp(_u13186, _u13187, _u13188), _u13189), _u13191))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13192, _u13193, _u13194), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13192, _u13193), tc_HOL_Obool)), _u13195), _u13196)), _u13197) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13192, _u13194), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13192, _u13193, _u13194), _u13195), _u13197)), hAPP(hAPP(c_Relation_Orel__comp(_u13192, _u13193, _u13194), _u13196), _u13197))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13198, _u13198), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u13199)), _u13200) = hAPP(hAPP(c_Relation_Orel__comp(_u13198, _u13198, _u13198), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13198, _u13198), tc_HOL_Obool), _u13199), _u13200)), _u13200)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13201, _u13201), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u13202), _u13203)), _u13204) = hAPP(hAPP(c_Relation_Orel__comp(_u13201, _u13201, _u13201), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13201, _u13201), tc_HOL_Obool), _u13202), _u13204)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13201, _u13201), tc_HOL_Obool), _u13203), _u13204))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13205, _u13205, _u13205), _u13206), _u13207) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13205, _u13205), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13205, _u13205, _u13205), _u13206), _u13208) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13205, _u13205), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13205, _u13205, _u13205), _u13206), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13205, _u13205), tc_HOL_Obool)), _u13207), _u13208)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13205, _u13205), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13209, _u13209, _u13209), _u13210), _u13211) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13209, _u13209, _u13209), _u13212), _u13211) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13209, _u13209, _u13209), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool)), _u13210), _u13212)), _u13211) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13213, _u13214), tc_HOL_Obool)), _u13215), hAPP(hAPP(c_Product__Type_OSigma(_u13213, _u13214), _u13216), hAPP(c_COMBK(tc_fun(_u13214, tc_HOL_Obool), _u13213), _u13217)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13214, _u13218), tc_HOL_Obool)), _u13219), hAPP(hAPP(c_Product__Type_OSigma(_u13214, _u13218), _u13217), hAPP(c_COMBK(tc_fun(_u13218, tc_HOL_Obool), _u13214), _u13220)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13213, _u13218), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13213, _u13214, _u13218), _u13215), _u13219)), hAPP(hAPP(c_Product__Type_OSigma(_u13213, _u13218), _u13216), hAPP(c_COMBK(tc_fun(_u13218, tc_HOL_Obool), _u13213), _u13220)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13221, _u13221), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13221, _u13221, _u13221), _u13222), _u13223)), _u13222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13221, _u13222)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13221, _u13223)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13221, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13221, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u13221, _u13222))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13224, _u13224), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13224, _u13224, _u13224), _u13225), _u13226)), _u13225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u13224, _u13225)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u13224, _u13226)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13224, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13224, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u13224, _u13225))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13234, _u13236, _u13238, hAPP(hAPP(c_COMBC(_u13234, tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_fun(_u13236, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_fun(tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_fun(_u13236, tc_HOL_Obool)), _u13234), c_COMBC(_u13236, tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_prod(_u13234, _u13236)), tc_fun(_u13236, tc_fun(tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_HOL_Obool)), _u13234), hAPP(c_COMBB(tc_prod(_u13234, _u13236), tc_fun(tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_HOL_Obool), _u13236), c_member(tc_prod(_u13234, _u13236)))), c_Product__Type_OPair(_u13234, _u13236)))), _u13240), hAPP(hAPP(c_COMBC(_u13236, tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_fun(_u13238, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13238, tc_fun(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_fun(_u13238, tc_HOL_Obool)), _u13236), c_COMBC(_u13238, tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13238, tc_prod(_u13236, _u13238)), tc_fun(_u13238, tc_fun(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_HOL_Obool)), _u13236), hAPP(c_COMBB(tc_prod(_u13236, _u13238), tc_fun(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_HOL_Obool), _u13238), c_member(tc_prod(_u13236, _u13238)))), c_Product__Type_OPair(_u13236, _u13238)))), _u13242)), _u13244), _u13246)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13234, _u13238)), hAPP(hAPP(c_Product__Type_OPair(_u13234, _u13238), _u13244), _u13246)), hAPP(hAPP(c_Relation_Orel__comp(_u13234, _u13236, _u13238), _u13240), _u13242))) )).
% 28.96/29.20 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13235, _u13239)), hAPP(hAPP(c_Product__Type_OPair(_u13235, _u13239), _u13245), _u13247)), hAPP(hAPP(c_Relation_Orel__comp(_u13235, _u13237, _u13239), _u13241), _u13243))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13235, _u13237, _u13239, hAPP(hAPP(c_COMBC(_u13235, tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_fun(_u13237, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13237, tc_fun(tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_fun(_u13237, tc_HOL_Obool)), _u13235), c_COMBC(_u13237, tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13237, tc_prod(_u13235, _u13237)), tc_fun(_u13237, tc_fun(tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_HOL_Obool)), _u13235), hAPP(c_COMBB(tc_prod(_u13235, _u13237), tc_fun(tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_HOL_Obool), _u13237), c_member(tc_prod(_u13235, _u13237)))), c_Product__Type_OPair(_u13235, _u13237)))), _u13241), hAPP(hAPP(c_COMBC(_u13237, tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_fun(_u13239, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13239, tc_fun(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_fun(_u13239, tc_HOL_Obool)), _u13237), c_COMBC(_u13239, tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13239, tc_prod(_u13237, _u13239)), tc_fun(_u13239, tc_fun(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_HOL_Obool)), _u13237), hAPP(c_COMBB(tc_prod(_u13237, _u13239), tc_fun(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_HOL_Obool), _u13239), c_member(tc_prod(_u13237, _u13239)))), c_Product__Type_OPair(_u13237, _u13239)))), _u13243)), _u13245), _u13247)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u13248, _u13249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13248, _u13248), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13248, _u13248, _u13248), _u13249), _u13250)), _u13249)) | c_FunDef_Oreduction__pair(_u13248, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u13248, _u13248), tc_HOL_Obool), tc_fun(tc_prod(_u13248, _u13248), tc_HOL_Obool)), _u13249), _u13250)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u13251, hAPP(hAPP(c_List_Oappend(_u13251), _u13252), _u13253), _u13254) = hAPP(hAPP(c_List_Oappend(_u13251), c_List_Osublist(_u13251, _u13252, _u13254)), c_List_Osublist(_u13251, _u13253, 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(_u13251)), _u13252)))), _u13254))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13255, _u13256), _u13257)) | ~hBOOL(hAPP(hAPP(_u13258, _u13257), _u13259)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13260, _u13261, _u13262, _u13255, _u13258), _u13256), _u13259)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u13263, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13263, _u13263), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u13264, _u13265) | c_Wellfounded_Owf(_u13266, hAPP(hAPP(c_Relation_Oinv__image(_u13264, _u13266), _u13265), _u13267)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u13268, _u13269) | ~c_Wellfounded_Owf(_u13270, _u13271) | c_Wellfounded_Owf(tc_prod(_u13268, _u13270), c_Wellfounded_Olex__prod(_u13268, _u13270, _u13269, _u13271)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u13272, hAPP(c_Wellfounded_Omeasure(_u13272), _u13273)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u13276, _u13278) | c_Wellfounded_Owf(_u13276, hAPP(hAPP(c_Relation_Orel__comp(_u13276, _u13276, _u13276), _u13278), _u13278)) )).
% 28.96/29.20 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u13277, hAPP(hAPP(c_Relation_Orel__comp(_u13277, _u13277, _u13277), _u13279), _u13279)) | c_Wellfounded_Owf(_u13277, _u13279) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 28.96/29.20 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)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u13280, _u13281) | c_Wellfounded_Owf(_u13280, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13280, _u13280), tc_HOL_Obool)), _u13282), _u13281)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u13283, _u13284) | c_Wellfounded_Owf(_u13283, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13283, _u13283), tc_HOL_Obool)), _u13284), _u13285)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u13286, _u13287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13286, _u13286), tc_HOL_Obool)), _u13288), _u13287)) | c_Wellfounded_Owf(_u13286, _u13288) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u13289, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13289, _u13289), tc_HOL_Obool), _u13290), _u13291)) | c_Wellfounded_Owf(_u13289, _u13291) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13292, _u13293) | c_Wellfounded_Owf(tc_fun(_u13292, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13292, _u13293)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_pred__comp_Oequations-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13303, _u13305, _u13307, _u13309, _u13311), _u13313), _u13315)) | hBOOL(hAPP(hAPP(_u13309, _u13313), skolem308(_u13315, _u13313, _u13311, _u13309))) )).
% 28.96/29.20 cnf(fact_pred__comp_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13303, _u13305, _u13307, _u13309, _u13311), _u13313), _u13315)) | hBOOL(hAPP(hAPP(_u13311, skolem308(_u13315, _u13313, _u13311, _u13309)), _u13315)) )).
% 28.96/29.20 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u13310, _u13314), _u13295)) | ~hBOOL(hAPP(hAPP(_u13312, _u13295), _u13316)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13304, _u13306, _u13308, _u13310, _u13312), _u13314), _u13316)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13317, _u13318) | c_Wellfounded_Owf(tc_fun(_u13317, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u13317, _u13318)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13319), _u13320), _u13321) != _u13322) | ( _u13323 != hAPP(hAPP(c_List_Oappend(_u13319), _u13321), _u13324)) | ( hAPP(hAPP(c_List_Oappend(_u13319), _u13320), _u13323) = hAPP(hAPP(c_List_Oappend(_u13319), _u13322), _u13324)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__same__eq-1, axiom, ( ( _u13331 = _u13335) | ( hAPP(hAPP(c_List_Oappend(_u13329), _u13331), _u13333) != hAPP(hAPP(c_List_Oappend(_u13329), _u13335), _u13333)) )).
% 28.96/29.20 cnf(fact_append__same__eq-2, axiom, ( ( _u13332 != _u13336) | ( hAPP(hAPP(c_List_Oappend(_u13330), _u13332), _u13334) = hAPP(hAPP(c_List_Oappend(_u13330), _u13336), _u13334)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_same__append__eq-1, axiom, ( ( _u13345 = _u13347) | ( hAPP(hAPP(c_List_Oappend(_u13341), _u13343), _u13345) != hAPP(hAPP(c_List_Oappend(_u13341), _u13343), _u13347)) )).
% 28.96/29.20 cnf(fact_same__append__eq-2, axiom, ( ( _u13346 != _u13348) | ( hAPP(hAPP(c_List_Oappend(_u13342), _u13344), _u13346) = hAPP(hAPP(c_List_Oappend(_u13342), _u13344), _u13348)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), _u13364) != hAPP(hAPP(c_List_Oappend(_u13360), _u13366), _u13368)) | ( _u13362 = hAPP(hAPP(c_List_Oappend(_u13360), _u13366), skolem309(_u13368, _u13366, _u13364, _u13362, _u13360))) | ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), skolem310(_u13368, _u13366, _u13364, _u13362, _u13360)) = _u13366) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), _u13364) != hAPP(hAPP(c_List_Oappend(_u13360), _u13366), _u13368)) | ( _u13362 = hAPP(hAPP(c_List_Oappend(_u13360), _u13366), skolem309(_u13368, _u13366, _u13364, _u13362, _u13360))) | ( _u13364 = hAPP(hAPP(c_List_Oappend(_u13360), skolem310(_u13368, _u13366, _u13364, _u13362, _u13360)), _u13368)) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), _u13364) != hAPP(hAPP(c_List_Oappend(_u13360), _u13366), _u13368)) | ( hAPP(hAPP(c_List_Oappend(_u13360), skolem309(_u13368, _u13366, _u13364, _u13362, _u13360)), _u13364) = _u13368) | ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), skolem310(_u13368, _u13366, _u13364, _u13362, _u13360)) = _u13366) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), _u13364) != hAPP(hAPP(c_List_Oappend(_u13360), _u13366), _u13368)) | ( hAPP(hAPP(c_List_Oappend(_u13360), skolem309(_u13368, _u13366, _u13364, _u13362, _u13360)), _u13364) = _u13368) | ( _u13364 = hAPP(hAPP(c_List_Oappend(_u13360), skolem310(_u13368, _u13366, _u13364, _u13362, _u13360)), _u13368)) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13361), _u13363), _u13365) = hAPP(hAPP(c_List_Oappend(_u13361), _u13367), _u13369)) | ( _u13363 != hAPP(hAPP(c_List_Oappend(_u13361), _u13367), _u13358)) | ( hAPP(hAPP(c_List_Oappend(_u13361), _u13358), _u13365) != _u13369) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13361), _u13363), _u13365) = hAPP(hAPP(c_List_Oappend(_u13361), _u13367), _u13369)) | ( hAPP(hAPP(c_List_Oappend(_u13361), _u13363), _u13359) != _u13367) | ( _u13365 != hAPP(hAPP(c_List_Oappend(_u13361), _u13359), _u13369)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13370), hAPP(hAPP(c_List_Oappend(_u13370), _u13371), _u13372)), _u13373) = hAPP(hAPP(c_List_Oappend(_u13370), _u13371), hAPP(hAPP(c_List_Oappend(_u13370), _u13372), _u13373))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u13374, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13374)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u13375, _u13376) | c_Wellfounded_Owf(_u13375, c_Wellfounded_Omlex__prod(_u13375, _u13377, _u13376)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u13378, _u13379) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13378, _u13378)), hAPP(hAPP(c_Product__Type_OPair(_u13378, _u13378), _u13380), _u13380)), _u13379)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u13381, _u13382) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13381, _u13381)), hAPP(hAPP(c_Product__Type_OPair(_u13381, _u13381), _u13383), _u13384)), _u13382)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13381, _u13381)), hAPP(hAPP(c_Product__Type_OPair(_u13381, _u13381), _u13384), _u13383)), _u13382)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u13385, _u13386) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13385, _u13385)), hAPP(hAPP(c_Product__Type_OPair(_u13385, _u13385), _u13387), _u13388)), _u13386)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13385, _u13385)), hAPP(hAPP(c_Product__Type_OPair(_u13385, _u13385), _u13388), _u13387)), _u13386)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u13389, _u13390) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13389, _u13389)), hAPP(hAPP(c_Product__Type_OPair(_u13389, _u13389), _u13391), _u13391)), _u13390)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13392)), hAPP(hAPP(c_List_Oappend(_u13392), _u13393), _u13394)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13392)), _u13393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13392)), _u13394))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13395)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13396)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u13401, _u13403) | hBOOL(hAPP(hAPP(c_member(_u13401), _u13397), c_Wellfounded_Oacc(_u13401, _u13403))) )).
% 28.96/29.20 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13402), skolem311(_u13404, _u13402)), c_Wellfounded_Oacc(_u13402, _u13404))) | c_Wellfounded_Owf(_u13402, _u13404) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u13405, _u13406) | hBOOL(hAPP(hAPP(c_member(_u13405), _u13407), c_Wellfounded_Oacc(_u13405, _u13406))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13408, _u13408, _u13408), _u13409), _u13409) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13408, _u13408), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13408, _u13409) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u13413, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13413, _u13413), tc_HOL_Obool)), _u13415), _u13417)) | c_Wellfounded_Owf(_u13413, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13413, _u13413), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13413, _u13413), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13413, _u13413, _u13413), _u13415), _u13415)), hAPP(hAPP(c_Relation_Orel__comp(_u13413, _u13413, _u13413), _u13417), _u13415))), _u13417)) )).
% 28.96/29.20 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u13414, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13414, _u13414), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13414, _u13414), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13414, _u13414, _u13414), _u13416), _u13416)), hAPP(hAPP(c_Relation_Orel__comp(_u13414, _u13414, _u13414), _u13418), _u13416))), _u13418)) | c_Wellfounded_Owf(_u13414, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13414, _u13414), tc_HOL_Obool)), _u13416), _u13418)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u13425, _u13427) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13425, _u13425)), hAPP(hAPP(c_Product__Type_OPair(_u13425, _u13425), hAPP(_u13420, hAPP(c_Nat_OSuc, skolem312(_u13427, _u13425, _u13420)))), hAPP(_u13420, skolem312(_u13427, _u13425, _u13420)))), _u13427)) )).
% 28.96/29.20 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13426, _u13426)), hAPP(hAPP(c_Product__Type_OPair(_u13426, _u13426), hAPP(skolem313(_u13428, _u13426), hAPP(c_Nat_OSuc, _u13421))), hAPP(skolem313(_u13428, _u13426), _u13421))), _u13428)) | c_Wellfounded_Owf(_u13426, _u13428) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u13429, _u13430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13429, tc_HOL_Obool)), _u13431), hAPP(c_Relation_OImage(_u13429, _u13429, _u13430), _u13431))) | ( _u13431 = c_Orderings_Obot__class_Obot(tc_fun(_u13429, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u13432, _u13433) | ~c_Wellfounded_Owf(_u13432, _u13434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13432, _u13432), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13432, _u13432, _u13432), _u13433), _u13434)), _u13433)) | c_Wellfounded_Owf(_u13432, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13432, _u13432), tc_HOL_Obool)), _u13433), _u13434)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u13435) | c_Wellfounded_Owf(_u13435, hAPP(c_Set_OCollect(tc_prod(_u13435, _u13435)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13435, _u13435, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13435)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13438, _u13440) | c_Wellfounded_Owf(_u13438, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool), tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), _u13440)) )).
% 28.96/29.20 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u13438, _u13440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13438, _u13438, _u13438), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool), tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), _u13440)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool), tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), _u13440))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool), tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), _u13440))) )).
% 28.96/29.20 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u13439, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool), tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13439, _u13439, _u13439), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool), tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13441)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool), tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13441))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool), tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13441))) | c_FunDef_Oreduction__pair(_u13439, _u13441) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13442, _u13443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13444), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool), tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13445), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool), tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13443))) | ~c_Wellfounded_Owf(_u13442, _u13445) | c_Wellfounded_Owf(_u13442, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13444), _u13445)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u13446, _u13447) | ~c_Fun_Oinj__on(_u13446, _u13448, _u13449, c_Orderings_Otop__class_Otop(tc_fun(_u13446, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13448, hAPP(c_Set_Oimage(tc_prod(_u13446, _u13446), tc_prod(_u13448, _u13448), c_Product__Type_Omap__pair(_u13446, _u13448, _u13446, _u13448, _u13449, _u13449)), _u13447)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u13450, _u13451) | c_Wellfounded_Owf(tc_List_Olist(_u13450), c_List_Olenlex(_u13450, _u13451)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u13456, hAPP(c_Set_OCollect(tc_prod(_u13456, _u13456)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13456, _u13456, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(_u13456, tc_HOL_Obool), _u13456), hAPP(c_COMBS(_u13456, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13456), c_fconj), _u13453))), hAPP(hAPP(c_COMBC(_u13456, tc_fun(_u13456, _u13456), tc_fun(_u13456, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(tc_fun(_u13456, _u13456), tc_fun(_u13456, tc_HOL_Obool)), _u13456), c_COMBB(_u13456, tc_HOL_Obool, _u13456)), c_fequal)), _u13455))))) | hBOOL(hAPP(_u13453, skolem314(_u13456, _u13455, _u13454, _u13453))) )).
% 28.96/29.20 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u13456, hAPP(c_Set_OCollect(tc_prod(_u13456, _u13456)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13456, _u13456, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(_u13456, tc_HOL_Obool), _u13456), hAPP(c_COMBS(_u13456, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13456), c_fconj), _u13453))), hAPP(hAPP(c_COMBC(_u13456, tc_fun(_u13456, _u13456), tc_fun(_u13456, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(tc_fun(_u13456, _u13456), tc_fun(_u13456, tc_HOL_Obool)), _u13456), c_COMBB(_u13456, tc_HOL_Obool, _u13456)), c_fequal)), _u13455))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13454, hAPP(_u13455, skolem314(_u13456, _u13455, _u13454, _u13453)))), hAPP(_u13454, skolem314(_u13456, _u13455, _u13454, _u13453)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u13457, _u13458), hAPP(c_Set_OCollect(tc_prod(_u13457, _u13458)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13457, _u13458, tc_HOL_Obool), _u13459))) = hAPP(c_Set_OCollect(_u13458), hAPP(hAPP(c_COMBB(tc_fun(_u13457, tc_HOL_Obool), tc_HOL_Obool, _u13458), c_HOL_OEx(_u13457)), hAPP(c_COMBC(_u13457, _u13458, tc_HOL_Obool), _u13459)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13460, _u13461)), hAPP(hAPP(c_Product__Type_OPair(_u13460, _u13461), _u13462), _u13463)), _u13464)) | hBOOL(hAPP(hAPP(c_member(_u13461), _u13463), hAPP(c_Relation_ORange(_u13460, _u13461), _u13464))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u13465, _u13465), c_Relation_OId__on(_u13465, _u13466)) = _u13466) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u13470, _u13472), _u13474) != c_Orderings_Obot__class_Obot(tc_fun(_u13472, tc_HOL_Obool))) | ( _u13474 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13470, _u13472), tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_Range__empty__iff-2, axiom, ( ( _u13475 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13471, _u13473), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u13471, _u13473), _u13475) = c_Orderings_Obot__class_Obot(tc_fun(_u13473, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u13476, _u13477), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13476, _u13477), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13477, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u13478, _u13479), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13478, _u13479), tc_HOL_Obool)), _u13480), _u13481)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13479, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13478, _u13479), _u13480)), hAPP(c_Relation_ORange(_u13478, _u13479), _u13481))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u13482, _u13482), c_Relation_OId(_u13482)) = c_Orderings_Otop__class_Otop(tc_fun(_u13482, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13483, _u13484)), _u13485)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13484), hAPP(c_Relation_ORange(_u13483, _u13484), _u13485))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13486, _u13487), _u13487, c_Product__Type_Osnd(_u13486, _u13487)), _u13488) = hAPP(c_Relation_ORange(_u13486, _u13487), _u13488)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13495), _u13497), hAPP(c_Relation_ORange(_u13499, _u13495), _u13501))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13499, _u13495)), hAPP(hAPP(c_Product__Type_OPair(_u13499, _u13495), skolem315(_u13501, _u13499, _u13497, _u13495)), _u13497)), _u13501)) )).
% 28.96/29.20 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13500, _u13496)), hAPP(hAPP(c_Product__Type_OPair(_u13500, _u13496), _u13490), _u13498)), _u13502)) | hBOOL(hAPP(hAPP(c_member(_u13496), _u13498), hAPP(c_Relation_ORange(_u13500, _u13496), _u13502))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u13503, _u13504), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13503, _u13504)), hAPP(hAPP(c_Product__Type_OPair(_u13503, _u13504), _u13505), _u13506)), _u13507)) = hAPP(hAPP(c_Set_Oinsert(_u13504), _u13506), hAPP(c_Relation_ORange(_u13503, _u13504), _u13507))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13508, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13509, _u13508), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13509, _u13508), tc_HOL_Obool)), _u13510), _u13511))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13508, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13509, _u13508), _u13510)), hAPP(c_Relation_ORange(_u13509, _u13508), _u13511)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13512, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13512, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13513, _u13512), _u13514)), hAPP(c_Relation_ORange(_u13513, _u13512), _u13515))), hAPP(c_Relation_ORange(_u13513, _u13512), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13513, _u13512), tc_HOL_Obool)), _u13514), _u13515)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 28.96/29.20 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)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u13520, _u13522, hAPP(hAPP(c_COMBC(_u13520, tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_fun(_u13522, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13522, tc_fun(tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_fun(_u13522, tc_HOL_Obool)), _u13520), c_COMBC(_u13522, tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13522, tc_prod(_u13520, _u13522)), tc_fun(_u13522, tc_fun(tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_HOL_Obool)), _u13520), hAPP(c_COMBB(tc_prod(_u13520, _u13522), tc_fun(tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_HOL_Obool), _u13522), c_member(tc_prod(_u13520, _u13522)))), c_Product__Type_OPair(_u13520, _u13522)))), _u13524)), _u13526)) | hBOOL(hAPP(hAPP(c_member(_u13522), _u13526), hAPP(c_Relation_ORange(_u13520, _u13522), _u13524))) )).
% 28.96/29.20 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13523), _u13527), hAPP(c_Relation_ORange(_u13521, _u13523), _u13525))) | hBOOL(hAPP(c_Predicate_ORangeP(_u13521, _u13523, hAPP(hAPP(c_COMBC(_u13521, tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_fun(_u13523, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13523, tc_fun(tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_fun(_u13523, tc_HOL_Obool)), _u13521), c_COMBC(_u13523, tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13523, tc_prod(_u13521, _u13523)), tc_fun(_u13523, tc_fun(tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_HOL_Obool)), _u13521), hAPP(c_COMBB(tc_prod(_u13521, _u13523), tc_fun(tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_HOL_Obool), _u13523), c_member(tc_prod(_u13521, _u13523)))), c_Product__Type_OPair(_u13521, _u13523)))), _u13525)), _u13527)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u13528, _u13529) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u13528)), tc_List_Olist(_u13528)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u13528), c_Wellfounded_Oless__than, c_List_Olex(_u13528, _u13529))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u13528), tc_List_Olist(_u13528), tc_prod(tc_Nat_Onat, tc_List_Olist(_u13528))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u13528), tc_prod(tc_Nat_Onat, tc_List_Olist(_u13528))), tc_List_Olist(_u13528)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u13528))), c_Nat_Osize__class_Osize(tc_List_Olist(_u13528)))), c_COMBI(tc_List_Olist(_u13528))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13530, _u13531), _u13532)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13533, _u13534, _u13530), _u13532)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u13535, _u13536) | c_Wellfounded_Owf(tc_List_Olist(_u13535), c_List_Olex(_u13535, _u13536)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13547, skolem316(_u13549, _u13547)), _u13549)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u13543, _u13545, _u13547), _u13549)) )).
% 28.96/29.20 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13548, _u13538), _u13550)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13544, _u13546, _u13548), _u13550)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u13551, _u13552) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u13551), tc_List_Olist(_u13551), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u13551), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBS(tc_List_Olist(_u13551), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u13551)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u13551)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13551), tc_fun(tc_List_Olist(_u13551), tc_Nat_Onat), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13551), tc_Nat_Onat), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u13551))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u13551)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u13551))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u13551)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u13551), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBS(tc_List_Olist(_u13551), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u13551)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u13551)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13551), tc_fun(tc_List_Olist(_u13551), tc_Nat_Onat), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13551), tc_Nat_Onat), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u13551))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u13551)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u13551))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u13551)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13551), tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBC(tc_List_Olist(_u13551), tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551))), tc_fun(tc_List_Olist(_u13551), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u13551)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u13551)), c_member(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551))))), c_Product__Type_OPair(tc_List_Olist(_u13551), tc_List_Olist(_u13551))))), c_List_Olex(_u13551, _u13552))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u13553, _u13554) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13553), tc_List_Olist(_u13553)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13553, _u13554))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u13555, _u13556) | c_Wellfounded_Owf(tc_List_Olist(_u13555), hAPP(c_List_Olexn(_u13555, _u13556), _u13557)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13559), _u13560), hAPP(c_Relation_ORange(_u13561, _u13559), _u13562))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13561, _u13559)), hAPP(hAPP(c_Product__Type_OPair(_u13561, _u13559), skolem317(_u13562, _u13561, _u13560, _u13559)), _u13560)), _u13562)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u13563, _u13564), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13563), tc_List_Olist(_u13563)), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13565), tc_List_Olist(_u13565))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13565), tc_List_Olist(_u13565)), _u13566), _u13567)), hAPP(c_List_Olexn(_u13565, _u13568), _u13569))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13565)), _u13566) = _u13569) )).
% 28.96/29.20 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13565), tc_List_Olist(_u13565))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13565), tc_List_Olist(_u13565)), _u13566), _u13567)), hAPP(c_List_Olexn(_u13565, _u13568), _u13569))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13565)), _u13567) = _u13569) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u13570, _u13571), hAPP(c_Nat_OSuc, _u13572)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u13570), tc_List_Olist(_u13570)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u13570, tc_List_Olist(_u13570)), tc_prod(_u13570, tc_List_Olist(_u13570))), tc_prod(tc_List_Olist(_u13570), tc_List_Olist(_u13570)), c_Product__Type_Omap__pair(tc_prod(_u13570, tc_List_Olist(_u13570)), tc_List_Olist(_u13570), tc_prod(_u13570, tc_List_Olist(_u13570)), tc_List_Olist(_u13570), hAPP(c_Product__Type_Oprod_Oprod__case(_u13570, tc_List_Olist(_u13570), tc_List_Olist(_u13570)), c_List_Olist_OCons(_u13570)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13570, tc_List_Olist(_u13570), tc_List_Olist(_u13570)), c_List_Olist_OCons(_u13570)))), c_Wellfounded_Olex__prod(_u13570, tc_List_Olist(_u13570), _u13571, hAPP(c_List_Olexn(_u13570, _u13571), _u13572)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u13570), tc_List_Olist(_u13570))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u13570), tc_List_Olist(_u13570), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13570), tc_fun(tc_List_Olist(_u13570), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13570), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13570), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13570), tc_HOL_Obool)), tc_List_Olist(_u13570)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u13570))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u13570)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13570), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u13570)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u13570)))), hAPP(c_Nat_OSuc, _u13572))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13570), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u13570)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u13570)))), hAPP(c_Nat_OSuc, _u13572))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13577), tc_List_Olist(_u13577))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13577), tc_List_Olist(_u13577)), _u13579), _u13581)), c_List_Olex(_u13577, _u13583))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13577), tc_List_Olist(_u13577))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13577), tc_List_Olist(_u13577)), _u13579), _u13581)), c_List_Olexord(_u13577, _u13583))) )).
% 28.96/29.20 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13577), tc_List_Olist(_u13577))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13577), tc_List_Olist(_u13577)), _u13579), _u13581)), c_List_Olex(_u13577, _u13583))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13577)), _u13579) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13577)), _u13581)) )).
% 28.96/29.20 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13578), tc_List_Olist(_u13578))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13578), tc_List_Olist(_u13578)), _u13580), _u13582)), c_List_Olexord(_u13578, _u13584))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13578)), _u13580) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13578)), _u13582)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13578), tc_List_Olist(_u13578))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13578), tc_List_Olist(_u13578)), _u13580), _u13582)), c_List_Olex(_u13578, _u13584))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13593), _u13595)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13597), _u13599))), c_List_Olex(_u13591, _u13601))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13591, _u13591)), hAPP(hAPP(c_Product__Type_OPair(_u13591, _u13591), _u13593), _u13597)), _u13601)) | ( _u13593 = _u13597) )).
% 28.96/29.20 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13593), _u13595)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13597), _u13599))), c_List_Olex(_u13591, _u13601))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13591, _u13591)), hAPP(hAPP(c_Product__Type_OPair(_u13591, _u13591), _u13593), _u13597)), _u13601)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), _u13595), _u13599)), c_List_Olex(_u13591, _u13601))) )).
% 28.96/29.20 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13593), _u13595)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13597), _u13599))), c_List_Olex(_u13591, _u13601))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13591)), _u13595) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13591)), _u13599)) | ( _u13593 = _u13597) )).
% 28.96/29.20 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13593), _u13595)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13597), _u13599))), c_List_Olex(_u13591, _u13601))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13591)), _u13595) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13591)), _u13599)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), _u13595), _u13599)), c_List_Olex(_u13591, _u13601))) )).
% 28.96/29.20 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13592), tc_List_Olist(_u13592))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13592), tc_List_Olist(_u13592)), hAPP(hAPP(c_List_Olist_OCons(_u13592), _u13594), _u13596)), hAPP(hAPP(c_List_Olist_OCons(_u13592), _u13598), _u13600))), c_List_Olex(_u13592, _u13602))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13592, _u13592)), hAPP(hAPP(c_Product__Type_OPair(_u13592, _u13592), _u13594), _u13598)), _u13602)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13592)), _u13596) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13592)), _u13600)) )).
% 28.96/29.20 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13592), tc_List_Olist(_u13592))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13592), tc_List_Olist(_u13592)), hAPP(hAPP(c_List_Olist_OCons(_u13592), _u13594), _u13596)), hAPP(hAPP(c_List_Olist_OCons(_u13592), _u13598), _u13600))), c_List_Olex(_u13592, _u13602))) | ( _u13594 != _u13598) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13592), tc_List_Olist(_u13592))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13592), tc_List_Olist(_u13592)), _u13596), _u13600)), c_List_Olex(_u13592, _u13602))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13608), _u13610), _u13612) != hAPP(hAPP(c_List_Olist_OCons(_u13608), _u13614), _u13616)) | ( _u13610 = _u13614) )).
% 28.96/29.20 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13608), _u13610), _u13612) != hAPP(hAPP(c_List_Olist_OCons(_u13608), _u13614), _u13616)) | ( _u13612 = _u13616) )).
% 28.96/29.20 cnf(fact_list_Oinject-3, axiom, ( ( _u13611 != _u13615) | ( _u13613 != _u13617) | ( hAPP(hAPP(c_List_Olist_OCons(_u13609), _u13611), _u13613) = hAPP(hAPP(c_List_Olist_OCons(_u13609), _u13615), _u13617)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13618), _u13619), _u13620) != _u13620) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_not__Cons__self-1, axiom, ( ( _u13621 != hAPP(hAPP(c_List_Olist_OCons(_u13622), _u13623), _u13621)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13624), hAPP(hAPP(c_List_Olist_OCons(_u13624), _u13625), _u13626)), _u13627) = hAPP(hAPP(c_List_Olist_OCons(_u13624), _u13625), hAPP(hAPP(c_List_Oappend(_u13624), _u13626), _u13627))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13628), _u13629), _u13630) != _u13631) | ( _u13632 != hAPP(hAPP(c_List_Oappend(_u13628), _u13630), _u13633)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13628), _u13629), _u13632) = hAPP(hAPP(c_List_Oappend(_u13628), _u13631), _u13633)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 28.96/29.20 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(_u13634)), _u13635)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13634)), _u13636))) | ( _u13635 != hAPP(hAPP(c_List_Olist_OCons(_u13634), _u13637), _u13636)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13644), tc_List_Olist(_u13644))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13644), tc_List_Olist(_u13644)), hAPP(hAPP(c_List_Olist_OCons(_u13644), _u13646), _u13648)), hAPP(hAPP(c_List_Olist_OCons(_u13644), _u13650), _u13652))), c_List_Olexord(_u13644, _u13654))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13644, _u13644)), hAPP(hAPP(c_Product__Type_OPair(_u13644, _u13644), _u13646), _u13650)), _u13654)) | ( _u13646 = _u13650) )).
% 28.96/29.20 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13644), tc_List_Olist(_u13644))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13644), tc_List_Olist(_u13644)), hAPP(hAPP(c_List_Olist_OCons(_u13644), _u13646), _u13648)), hAPP(hAPP(c_List_Olist_OCons(_u13644), _u13650), _u13652))), c_List_Olexord(_u13644, _u13654))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13644, _u13644)), hAPP(hAPP(c_Product__Type_OPair(_u13644, _u13644), _u13646), _u13650)), _u13654)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13644), tc_List_Olist(_u13644))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13644), tc_List_Olist(_u13644)), _u13648), _u13652)), c_List_Olexord(_u13644, _u13654))) )).
% 28.96/29.20 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13645), tc_List_Olist(_u13645))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13645), tc_List_Olist(_u13645)), hAPP(hAPP(c_List_Olist_OCons(_u13645), _u13647), _u13649)), hAPP(hAPP(c_List_Olist_OCons(_u13645), _u13651), _u13653))), c_List_Olexord(_u13645, _u13655))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13645, _u13645)), hAPP(hAPP(c_Product__Type_OPair(_u13645, _u13645), _u13647), _u13651)), _u13655)) )).
% 28.96/29.20 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13645), tc_List_Olist(_u13645))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13645), tc_List_Olist(_u13645)), hAPP(hAPP(c_List_Olist_OCons(_u13645), _u13647), _u13649)), hAPP(hAPP(c_List_Olist_OCons(_u13645), _u13651), _u13653))), c_List_Olexord(_u13645, _u13655))) | ( _u13647 != _u13651) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13645), tc_List_Olist(_u13645))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13645), tc_List_Olist(_u13645)), _u13649), _u13653)), c_List_Olexord(_u13645, _u13655))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13656, _u13656)), hAPP(hAPP(c_Product__Type_OPair(_u13656, _u13656), _u13657), _u13658)), _u13659)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13656), tc_List_Olist(_u13656))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13656), tc_List_Olist(_u13656)), hAPP(hAPP(c_List_Oappend(_u13656), _u13660), hAPP(hAPP(c_List_Olist_OCons(_u13656), _u13657), _u13661))), hAPP(hAPP(c_List_Oappend(_u13656), _u13660), hAPP(hAPP(c_List_Olist_OCons(_u13656), _u13658), _u13662)))), c_List_Olexord(_u13656, _u13659))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13663)), hAPP(hAPP(c_List_Olist_OCons(_u13663), _u13664), _u13665)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13663)), _u13665)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13666), tc_List_Olist(_u13666))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13666), tc_List_Olist(_u13666)), _u13667), _u13668)), c_List_Olexord(_u13666, _u13669))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13666), tc_List_Olist(_u13666))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13666), tc_List_Olist(_u13666)), hAPP(hAPP(c_List_Oappend(_u13666), _u13670), _u13667)), hAPP(hAPP(c_List_Oappend(_u13666), _u13670), _u13668))), c_List_Olexord(_u13666, _u13669))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u13671, _u13672, _u13673) = hAPP(c_Set_OCollect(tc_List_Olist(_u13671)), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u13671)), c_HOL_OEx(_u13671)), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(_u13671, tc_HOL_Obool), tc_List_Olist(_u13671)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_HOL_Obool, _u13671), c_HOL_OEx(tc_List_Olist(_u13671)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13671), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_fun(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), tc_fun(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), tc_List_Olist(_u13671)), c_COMBS(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13671, tc_fun(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), tc_List_Olist(_u13671)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), _u13671), c_COMBS(tc_List_Olist(_u13671), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u13671)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13671), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u13671)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13671), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671))), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671)), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671))), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), tc_List_Olist(_u13671)), c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671)), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), _u13671)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671)), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_List_Olist(_u13671)), c_COMBB(tc_List_Olist(_u13671), tc_HOL_Obool, tc_List_Olist(_u13671))), c_fequal))), c_List_Olist_OCons(_u13671)))))), hAPP(hAPP(c_COMBC(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), _u13671), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u13671))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13671), c_fconj), hAPP(hAPP(c_COMBC(_u13671, tc_fun(_u13671, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13671)), _u13672)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13671), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u13671))), _u13673))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13678), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u13680), _u13682))) | ( hAPP(c_Random_Opick(_u13680, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u13680)), _u13682), _u13684)), _u13678) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u13680), _u13682)) )).
% 28.96/29.20 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13679), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u13681), _u13683))) | ( hAPP(c_Random_Opick(_u13681, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u13681)), _u13683), _u13685)), _u13679) = hAPP(c_Random_Opick(_u13681, _u13685), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13679), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u13681), _u13683)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u13686, hAPP(hAPP(c_List_Olist_OCons(_u13686), _u13687), _u13688), _u13689) = hAPP(hAPP(c_List_Oappend(_u13686), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u13686)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13689)), hAPP(hAPP(c_List_Olist_OCons(_u13686), _u13687), c_List_Olist_ONil(_u13686))), c_List_Olist_ONil(_u13686))), c_List_Osublist(_u13686, _u13688, 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)), _u13689))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13690), _u13691), _u13692) != c_List_Olist_ONil(_u13690)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u13693) != hAPP(hAPP(c_List_Olist_OCons(_u13693), _u13694), _u13695)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u13696, _u13697, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13696)), c_List_Olist_ONil(_u13696)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13696), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u13696, tc_List_Olist(_u13696), hAPP(hAPP(c_COMBC(_u13696, tc_List_Olist(_u13696), tc_List_Olist(_u13696)), c_List_Olist_OCons(_u13696)), c_List_Olist_ONil(_u13696))), _u13697)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u13698 != _u13699) | ( _u13698 = hAPP(hAPP(c_List_Oappend(_u13700), c_List_Olist_ONil(_u13700)), _u13699)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13704), _u13706), _u13708) != _u13708) | ( _u13706 = c_List_Olist_ONil(_u13704)) )).
% 28.96/29.20 cnf(fact_append__self__conv2-2, axiom, ( ( _u13707 != c_List_Olist_ONil(_u13705)) | ( hAPP(hAPP(c_List_Oappend(_u13705), _u13707), _u13709) = _u13709) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13713), _u13715), _u13717) != _u13715) | ( _u13717 = c_List_Olist_ONil(_u13713)) )).
% 28.96/29.20 cnf(fact_append__self__conv-2, axiom, ( ( _u13718 != c_List_Olist_ONil(_u13714)) | ( hAPP(hAPP(c_List_Oappend(_u13714), _u13716), _u13718) = _u13716) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13722), _u13724), _u13726) != c_List_Olist_ONil(_u13722)) | ( _u13724 = c_List_Olist_ONil(_u13722)) )).
% 28.96/29.20 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13722), _u13724), _u13726) != c_List_Olist_ONil(_u13722)) | ( _u13726 = c_List_Olist_ONil(_u13722)) )).
% 28.96/29.20 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u13725 != c_List_Olist_ONil(_u13723)) | ( _u13727 != c_List_Olist_ONil(_u13723)) | ( hAPP(hAPP(c_List_Oappend(_u13723), _u13725), _u13727) = c_List_Olist_ONil(_u13723)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_self__append__conv2-1, axiom, ( ( _u13735 = c_List_Olist_ONil(_u13733)) | ( _u13731 != hAPP(hAPP(c_List_Oappend(_u13733), _u13735), _u13731)) )).
% 28.96/29.20 cnf(fact_self__append__conv2-2, axiom, ( ( _u13736 != c_List_Olist_ONil(_u13734)) | ( _u13732 = hAPP(hAPP(c_List_Oappend(_u13734), _u13736), _u13732)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_self__append__conv-1, axiom, ( ( _u13744 = c_List_Olist_ONil(_u13742)) | ( _u13740 != hAPP(hAPP(c_List_Oappend(_u13742), _u13740), _u13744)) )).
% 28.96/29.20 cnf(fact_self__append__conv-2, axiom, ( ( _u13745 != c_List_Olist_ONil(_u13743)) | ( _u13741 = hAPP(hAPP(c_List_Oappend(_u13743), _u13741), _u13745)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13746), _u13747), c_List_Olist_ONil(_u13746)) = _u13747) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u13751) != hAPP(hAPP(c_List_Oappend(_u13751), _u13753), _u13755)) | ( _u13753 = c_List_Olist_ONil(_u13751)) )).
% 28.96/29.20 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u13751) != hAPP(hAPP(c_List_Oappend(_u13751), _u13753), _u13755)) | ( _u13755 = c_List_Olist_ONil(_u13751)) )).
% 28.96/29.20 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u13754 != c_List_Olist_ONil(_u13752)) | ( _u13756 != c_List_Olist_ONil(_u13752)) | ( c_List_Olist_ONil(_u13752) = hAPP(hAPP(c_List_Oappend(_u13752), _u13754), _u13756)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13757), c_List_Olist_ONil(_u13757)), _u13758) = _u13758) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u13759, c_List_Olist_ONil(_u13759), _u13760) = c_List_Olist_ONil(_u13759)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13761)), c_List_Olist_ONil(_u13761)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13764)), _u13766) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u13766 = c_List_Olist_ONil(_u13764)) )).
% 28.96/29.20 cnf(fact_length__0__conv-2, axiom, ( ( _u13767 != c_List_Olist_ONil(_u13765)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13765)), _u13767) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13773), _u13775), hAPP(hAPP(c_List_Olist_OCons(_u13773), _u13777), c_List_Olist_ONil(_u13773))) != hAPP(hAPP(c_List_Oappend(_u13773), _u13779), hAPP(hAPP(c_List_Olist_OCons(_u13773), _u13781), c_List_Olist_ONil(_u13773)))) | ( _u13775 = _u13779) )).
% 28.96/29.20 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13773), _u13775), hAPP(hAPP(c_List_Olist_OCons(_u13773), _u13777), c_List_Olist_ONil(_u13773))) != hAPP(hAPP(c_List_Oappend(_u13773), _u13779), hAPP(hAPP(c_List_Olist_OCons(_u13773), _u13781), c_List_Olist_ONil(_u13773)))) | ( _u13777 = _u13781) )).
% 28.96/29.20 cnf(fact_append1__eq__conv-3, axiom, ( ( _u13776 != _u13780) | ( _u13778 != _u13782) | ( hAPP(hAPP(c_List_Oappend(_u13774), _u13776), hAPP(hAPP(c_List_Olist_OCons(_u13774), _u13778), c_List_Olist_ONil(_u13774))) = hAPP(hAPP(c_List_Oappend(_u13774), _u13780), hAPP(hAPP(c_List_Olist_OCons(_u13774), _u13782), c_List_Olist_ONil(_u13774)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) != hAPP(hAPP(c_List_Oappend(_u13790), _u13796), _u13798)) | ( _u13796 = c_List_Olist_ONil(_u13790)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), skolem318(_u13798, _u13796, _u13794, _u13792, _u13790)) = _u13796) )).
% 28.96/29.20 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) != hAPP(hAPP(c_List_Oappend(_u13790), _u13796), _u13798)) | ( _u13796 = c_List_Olist_ONil(_u13790)) | ( _u13794 = hAPP(hAPP(c_List_Oappend(_u13790), skolem318(_u13798, _u13796, _u13794, _u13792, _u13790)), _u13798)) )).
% 28.96/29.20 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) != hAPP(hAPP(c_List_Oappend(_u13790), _u13796), _u13798)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) = _u13798) | ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), skolem318(_u13798, _u13796, _u13794, _u13792, _u13790)) = _u13796) )).
% 28.96/29.20 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) != hAPP(hAPP(c_List_Oappend(_u13790), _u13796), _u13798)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) = _u13798) | ( _u13794 = hAPP(hAPP(c_List_Oappend(_u13790), skolem318(_u13798, _u13796, _u13794, _u13792, _u13790)), _u13798)) )).
% 28.96/29.20 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13791), _u13793), _u13795) = hAPP(hAPP(c_List_Oappend(_u13791), _u13797), _u13799)) | ( _u13797 != c_List_Olist_ONil(_u13791)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13791), _u13793), _u13795) != _u13799) )).
% 28.96/29.20 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13791), _u13793), _u13795) = hAPP(hAPP(c_List_Oappend(_u13791), _u13797), _u13799)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13791), _u13793), _u13784) != _u13797) | ( _u13795 != hAPP(hAPP(c_List_Oappend(_u13791), _u13784), _u13799)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13807), _u13809), _u13811) != hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13809 = c_List_Olist_ONil(_u13807)) | ( _u13809 = hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), skolem319(_u13815, _u13813, _u13811, _u13809, _u13807))) )).
% 28.96/29.20 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13807), _u13809), _u13811) != hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13809 = c_List_Olist_ONil(_u13807)) | ( hAPP(hAPP(c_List_Oappend(_u13807), skolem319(_u13815, _u13813, _u13811, _u13809, _u13807)), _u13811) = _u13815) )).
% 28.96/29.20 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13807), _u13809), _u13811) != hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13811 = hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13809 = hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), skolem319(_u13815, _u13813, _u13811, _u13809, _u13807))) )).
% 28.96/29.20 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13807), _u13809), _u13811) != hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13811 = hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( hAPP(hAPP(c_List_Oappend(_u13807), skolem319(_u13815, _u13813, _u13811, _u13809, _u13807)), _u13811) = _u13815) )).
% 28.96/29.20 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13808), _u13810), _u13812) = hAPP(hAPP(c_List_Olist_OCons(_u13808), _u13814), _u13816)) | ( _u13810 != c_List_Olist_ONil(_u13808)) | ( _u13812 != hAPP(hAPP(c_List_Olist_OCons(_u13808), _u13814), _u13816)) )).
% 28.96/29.20 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u13808), _u13810), _u13812) = hAPP(hAPP(c_List_Olist_OCons(_u13808), _u13814), _u13816)) | ( _u13810 != hAPP(hAPP(c_List_Olist_OCons(_u13808), _u13814), _u13801)) | ( hAPP(hAPP(c_List_Oappend(_u13808), _u13801), _u13812) != _u13816) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u13817, _u13818, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u13817)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 28.96/29.20 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(_u13821)), _u13823))) | ( _u13823 != c_List_Olist_ONil(_u13821)) )).
% 28.96/29.20 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u13824 = c_List_Olist_ONil(_u13822)) | 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(_u13822)), _u13824))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13825), tc_List_Olist(_u13825))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13825), tc_List_Olist(_u13825)), _u13826), c_List_Olist_ONil(_u13825))), c_List_Olexord(_u13825, _u13827))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13828), tc_List_Olist(_u13828))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13828), tc_List_Olist(_u13828)), c_List_Olist_ONil(_u13828)), _u13829)), c_List_Olex(_u13828, _u13830))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13831), tc_List_Olist(_u13831))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13831), tc_List_Olist(_u13831)), _u13832), c_List_Olist_ONil(_u13831))), c_List_Olex(_u13831, _u13833))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13837)) | ( c_List_Osublist(_u13839, hAPP(hAPP(c_List_Olist_OCons(_u13839), _u13841), c_List_Olist_ONil(_u13839)), _u13837) = hAPP(hAPP(c_List_Olist_OCons(_u13839), _u13841), c_List_Olist_ONil(_u13839))) )).
% 28.96/29.20 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13838)) | ( c_List_Osublist(_u13840, hAPP(hAPP(c_List_Olist_OCons(_u13840), _u13842), c_List_Olist_ONil(_u13840)), _u13838) = c_List_Olist_ONil(_u13840)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u13843, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u13843)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u13843), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u13844)), _u13845)) = c_Random_Oselect__weight(_u13843, _u13845)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), hAPP(hAPP(c_List_Oappend(_u13852), _u13854), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13856), c_List_Olist_ONil(_u13852)))), hAPP(hAPP(c_List_Oappend(_u13852), _u13858), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13860), c_List_Olist_ONil(_u13852))))), c_List_Olistrel1(_u13852, _u13862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), _u13854), _u13858)), c_List_Olistrel1(_u13852, _u13862))) | ( _u13854 = _u13858) )).
% 28.96/29.20 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), hAPP(hAPP(c_List_Oappend(_u13852), _u13854), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13856), c_List_Olist_ONil(_u13852)))), hAPP(hAPP(c_List_Oappend(_u13852), _u13858), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13860), c_List_Olist_ONil(_u13852))))), c_List_Olistrel1(_u13852, _u13862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), _u13854), _u13858)), c_List_Olistrel1(_u13852, _u13862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13852, _u13852)), hAPP(hAPP(c_Product__Type_OPair(_u13852, _u13852), _u13856), _u13860)), _u13862)) )).
% 28.96/29.20 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), hAPP(hAPP(c_List_Oappend(_u13852), _u13854), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13856), c_List_Olist_ONil(_u13852)))), hAPP(hAPP(c_List_Oappend(_u13852), _u13858), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13860), c_List_Olist_ONil(_u13852))))), c_List_Olistrel1(_u13852, _u13862))) | ( _u13856 = _u13860) | ( _u13854 = _u13858) )).
% 28.96/29.20 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), hAPP(hAPP(c_List_Oappend(_u13852), _u13854), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13856), c_List_Olist_ONil(_u13852)))), hAPP(hAPP(c_List_Oappend(_u13852), _u13858), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13860), c_List_Olist_ONil(_u13852))))), c_List_Olistrel1(_u13852, _u13862))) | ( _u13856 = _u13860) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13852, _u13852)), hAPP(hAPP(c_Product__Type_OPair(_u13852, _u13852), _u13856), _u13860)), _u13862)) )).
% 28.96/29.20 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13853), tc_List_Olist(_u13853))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13853), tc_List_Olist(_u13853)), hAPP(hAPP(c_List_Oappend(_u13853), _u13855), hAPP(hAPP(c_List_Olist_OCons(_u13853), _u13857), c_List_Olist_ONil(_u13853)))), hAPP(hAPP(c_List_Oappend(_u13853), _u13859), hAPP(hAPP(c_List_Olist_OCons(_u13853), _u13861), c_List_Olist_ONil(_u13853))))), c_List_Olistrel1(_u13853, _u13863))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13853), tc_List_Olist(_u13853))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13853), tc_List_Olist(_u13853)), _u13855), _u13859)), c_List_Olistrel1(_u13853, _u13863))) | ( _u13857 != _u13861) )).
% 28.96/29.20 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13853), tc_List_Olist(_u13853))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13853), tc_List_Olist(_u13853)), hAPP(hAPP(c_List_Oappend(_u13853), _u13855), hAPP(hAPP(c_List_Olist_OCons(_u13853), _u13857), c_List_Olist_ONil(_u13853)))), hAPP(hAPP(c_List_Oappend(_u13853), _u13859), hAPP(hAPP(c_List_Olist_OCons(_u13853), _u13861), c_List_Olist_ONil(_u13853))))), c_List_Olistrel1(_u13853, _u13863))) | ( _u13855 != _u13859) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13853, _u13853)), hAPP(hAPP(c_Product__Type_OPair(_u13853, _u13853), _u13857), _u13861)), _u13863)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13865), tc_List_Olist(_u13865))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13865), tc_List_Olist(_u13865)), hAPP(hAPP(c_List_Oappend(_u13865), _u13866), _u13867)), hAPP(hAPP(c_List_Oappend(_u13865), _u13866), _u13868))), c_List_Olexord(_u13865, _u13869))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13865, _u13865)), hAPP(hAPP(c_Product__Type_OPair(_u13865, _u13865), skolem320(_u13869, _u13868, _u13867, _u13866, _u13865)), skolem320(_u13869, _u13868, _u13867, _u13866, _u13865))), _u13869)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13865), tc_List_Olist(_u13865))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13865), tc_List_Olist(_u13865)), _u13867), _u13868)), c_List_Olexord(_u13865, _u13869))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13870), _u13871), c_Wellfounded_Oacc(_u13870, _u13872))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u13870)), _u13873), c_Wellfounded_Oacc(tc_List_Olist(_u13870), c_List_Olistrel1(_u13870, _u13872)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u13870)), hAPP(hAPP(c_List_Olist_OCons(_u13870), _u13871), _u13873)), c_Wellfounded_Oacc(tc_List_Olist(_u13870), c_List_Olistrel1(_u13870, _u13872)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13874, _u13874), tc_HOL_Obool)), _u13875), _u13876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u13874), tc_List_Olist(_u13874)), tc_HOL_Obool)), c_List_Olistrel1(_u13874, _u13875)), c_List_Olistrel1(_u13874, _u13876))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13877), tc_List_Olist(_u13877))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13877), tc_List_Olist(_u13877)), _u13878), _u13879)), c_List_Olistrel1(_u13877, _u13880))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13877), tc_List_Olist(_u13877))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13877), tc_List_Olist(_u13877)), hAPP(hAPP(c_List_Olist_OCons(_u13877), _u13881), _u13878)), hAPP(hAPP(c_List_Olist_OCons(_u13877), _u13881), _u13879))), c_List_Olistrel1(_u13877, _u13880))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13882), tc_List_Olist(_u13882))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13882), tc_List_Olist(_u13882)), _u13883), _u13884)), c_List_Olistrel1(_u13882, _u13885))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13882)), _u13883) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13882)), _u13884)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13886), tc_List_Olist(_u13886))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13886), tc_List_Olist(_u13886)), c_List_Olist_ONil(_u13886)), _u13887)), c_List_Olistrel1(_u13886, _u13888))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13889), tc_List_Olist(_u13889))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13889), tc_List_Olist(_u13889)), _u13890), c_List_Olist_ONil(_u13889))), c_List_Olistrel1(_u13889, _u13891))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13892), tc_List_Olist(_u13892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13892), tc_List_Olist(_u13892)), hAPP(hAPP(c_List_Oappend(_u13892), _u13893), _u13896)), hAPP(hAPP(c_List_Oappend(_u13892), _u13894), _u13897))), c_List_Olistrel1(_u13892, _u13895))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13892), tc_List_Olist(_u13892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13892), tc_List_Olist(_u13892)), _u13893), _u13894)), c_List_Olistrel1(_u13892, _u13895))) | ( _u13896 != _u13897) )).
% 28.96/29.20 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13892), tc_List_Olist(_u13892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13892), tc_List_Olist(_u13892)), hAPP(hAPP(c_List_Oappend(_u13892), _u13893), _u13896)), hAPP(hAPP(c_List_Oappend(_u13892), _u13894), _u13897))), c_List_Olistrel1(_u13892, _u13895))) | ( _u13893 != _u13894) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13892), tc_List_Olist(_u13892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13892), tc_List_Olist(_u13892)), _u13896), _u13897)), c_List_Olistrel1(_u13892, _u13895))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13906), _u13908)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13910), _u13912))), c_List_Olistrel1(_u13904, _u13914))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13904, _u13904)), hAPP(hAPP(c_Product__Type_OPair(_u13904, _u13904), _u13906), _u13910)), _u13914)) | ( _u13906 = _u13910) )).
% 28.96/29.20 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13906), _u13908)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13910), _u13912))), c_List_Olistrel1(_u13904, _u13914))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13904, _u13904)), hAPP(hAPP(c_Product__Type_OPair(_u13904, _u13904), _u13906), _u13910)), _u13914)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), _u13908), _u13912)), c_List_Olistrel1(_u13904, _u13914))) )).
% 28.96/29.20 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13906), _u13908)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13910), _u13912))), c_List_Olistrel1(_u13904, _u13914))) | ( _u13908 = _u13912) | ( _u13906 = _u13910) )).
% 28.96/29.20 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13906), _u13908)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13910), _u13912))), c_List_Olistrel1(_u13904, _u13914))) | ( _u13908 = _u13912) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), _u13908), _u13912)), c_List_Olistrel1(_u13904, _u13914))) )).
% 28.96/29.20 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13905), tc_List_Olist(_u13905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13905), tc_List_Olist(_u13905)), hAPP(hAPP(c_List_Olist_OCons(_u13905), _u13907), _u13909)), hAPP(hAPP(c_List_Olist_OCons(_u13905), _u13911), _u13913))), c_List_Olistrel1(_u13905, _u13915))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13905, _u13905)), hAPP(hAPP(c_Product__Type_OPair(_u13905, _u13905), _u13907), _u13911)), _u13915)) | ( _u13909 != _u13913) )).
% 28.96/29.20 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13905), tc_List_Olist(_u13905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13905), tc_List_Olist(_u13905)), hAPP(hAPP(c_List_Olist_OCons(_u13905), _u13907), _u13909)), hAPP(hAPP(c_List_Olist_OCons(_u13905), _u13911), _u13913))), c_List_Olistrel1(_u13905, _u13915))) | ( _u13907 != _u13911) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13905), tc_List_Olist(_u13905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13905), tc_List_Olist(_u13905)), _u13909), _u13913)), c_List_Olistrel1(_u13905, _u13915))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13916, _u13916)), hAPP(hAPP(c_Product__Type_OPair(_u13916, _u13916), _u13917), _u13918)), _u13919)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13916), tc_List_Olist(_u13916))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13916), tc_List_Olist(_u13916)), hAPP(hAPP(c_List_Olist_OCons(_u13916), _u13917), _u13920)), hAPP(hAPP(c_List_Olist_OCons(_u13916), _u13918), _u13920))), c_List_Olistrel1(_u13916, _u13919))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13921, _u13921)), hAPP(hAPP(c_Product__Type_OPair(_u13921, _u13921), _u13922), _u13923)), _u13924)) | ( _u13925 != hAPP(hAPP(c_List_Oappend(_u13921), _u13926), hAPP(hAPP(c_List_Olist_OCons(_u13921), _u13922), _u13927))) | ( _u13928 != hAPP(hAPP(c_List_Oappend(_u13921), _u13926), hAPP(hAPP(c_List_Olist_OCons(_u13921), _u13923), _u13927))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13921), tc_List_Olist(_u13921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13921), tc_List_Olist(_u13921)), _u13925), _u13928)), c_List_Olistrel1(_u13921, _u13924))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u13929, c_List_Olist_ONil(tc_fun(_u13929, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13929)), c_List_Olist_ONil(_u13929)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13929), tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u13930), tc_List_Olist(_u13930), c_List_Olistrel(_u13930, _u13931)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13930)), hAPP(hAPP(c_List_Olist_OCons(_u13930), _u13932), _u13933)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13930), tc_HOL_Obool)))) = c_List_Oset__Cons(_u13930, hAPP(c_Relation_OImage(_u13930, _u13930, _u13931), hAPP(hAPP(c_Set_Oinsert(_u13930), _u13932), c_Orderings_Obot__class_Obot(tc_fun(_u13930, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u13930), tc_List_Olist(_u13930), c_List_Olistrel(_u13930, _u13931)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13930)), _u13933), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13930), tc_HOL_Obool)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13938), tc_List_Olist(_u13938))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13938), tc_List_Olist(_u13938)), _u13939), _u13940)), c_List_Olistrel1(_u13938, _u13941))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13938, _u13938)), hAPP(hAPP(c_Product__Type_OPair(_u13938, _u13938), skolem321(_u13941, _u13940, _u13939, _u13938)), skolem322(_u13941, _u13940, _u13939, _u13938))), _u13941)) )).
% 28.96/29.20 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13938), tc_List_Olist(_u13938))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13938), tc_List_Olist(_u13938)), _u13939), _u13940)), c_List_Olistrel1(_u13938, _u13941))) | ( _u13939 = hAPP(hAPP(c_List_Oappend(_u13938), skolem323(_u13941, _u13940, _u13939, _u13938)), hAPP(hAPP(c_List_Olist_OCons(_u13938), skolem321(_u13941, _u13940, _u13939, _u13938)), skolem324(_u13941, _u13940, _u13939, _u13938)))) )).
% 28.96/29.20 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13938), tc_List_Olist(_u13938))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13938), tc_List_Olist(_u13938)), _u13939), _u13940)), c_List_Olistrel1(_u13938, _u13941))) | ( _u13940 = hAPP(hAPP(c_List_Oappend(_u13938), skolem323(_u13941, _u13940, _u13939, _u13938)), hAPP(hAPP(c_List_Olist_OCons(_u13938), skolem322(_u13941, _u13940, _u13939, _u13938)), skolem324(_u13941, _u13940, _u13939, _u13938)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13942), tc_List_Olist(_u13942))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13942), tc_List_Olist(_u13942)), _u13943), c_List_Olist_ONil(_u13942))), c_List_Olistrel(_u13942, _u13944))) | ( _u13943 = c_List_Olist_ONil(_u13942)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13945), tc_List_Olist(_u13945))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13945), tc_List_Olist(_u13945)), c_List_Olist_ONil(_u13945)), _u13946)), c_List_Olistrel(_u13945, _u13947))) | ( _u13946 = c_List_Olist_ONil(_u13945)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13948, _u13948), tc_HOL_Obool)), _u13949), _u13950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u13948), tc_List_Olist(_u13948)), tc_HOL_Obool)), c_List_Olistrel(_u13948, _u13949)), c_List_Olistrel(_u13948, _u13950))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13951), tc_List_Olist(_u13951))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13951), tc_List_Olist(_u13951)), _u13952), _u13953)), c_List_Olistrel(_u13951, _u13954))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13951)), _u13952) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13951)), _u13953)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13955), tc_List_Olist(_u13955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13955), tc_List_Olist(_u13955)), c_List_Olist_ONil(_u13955)), c_List_Olist_ONil(_u13955))), c_List_Olistrel(_u13955, _u13956))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u13957), tc_List_Olist(_u13957), c_List_Olistrel(_u13957, _u13958)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13957)), c_List_Olist_ONil(_u13957)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13957), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13957)), c_List_Olist_ONil(_u13957)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13957), tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13959, _u13959), tc_HOL_Obool)), _u13960), _u13961)) | ~c_Relation_Orefl__on(_u13959, c_Orderings_Otop__class_Otop(tc_fun(_u13959, tc_HOL_Obool)), _u13961) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u13959), tc_List_Olist(_u13959)), tc_HOL_Obool)), c_List_Olistrel1(_u13959, _u13960)), c_List_Olistrel(_u13959, _u13961))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u13962, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u13962, tc_HOL_Obool)), _u13963), _u13964)) = c_List_Oset__Cons(_u13962, _u13963, c_List_Olistset(_u13962, _u13964))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13965, _u13965)), hAPP(hAPP(c_Product__Type_OPair(_u13965, _u13965), _u13966), _u13967)), _u13968)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13965), tc_List_Olist(_u13965))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13965), tc_List_Olist(_u13965)), _u13969), _u13970)), c_List_Olistrel(_u13965, _u13968))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13965), tc_List_Olist(_u13965))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13965), tc_List_Olist(_u13965)), hAPP(hAPP(c_List_Olist_OCons(_u13965), _u13966), _u13969)), hAPP(hAPP(c_List_Olist_OCons(_u13965), _u13967), _u13970))), c_List_Olistrel(_u13965, _u13968))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u13975, hAPP(hAPP(c_COMBC(_u13975, tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_fun(_u13975, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13975, tc_fun(tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_fun(_u13975, tc_HOL_Obool)), _u13975), c_COMBC(_u13975, tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13975, tc_prod(_u13975, _u13975)), tc_fun(_u13975, tc_fun(tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_HOL_Obool)), _u13975), hAPP(c_COMBB(tc_prod(_u13975, _u13975), tc_fun(tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_HOL_Obool), _u13975), c_member(tc_prod(_u13975, _u13975)))), c_Product__Type_OPair(_u13975, _u13975)))), _u13977), _u13979, _u13981) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13975), tc_List_Olist(_u13975))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13975), tc_List_Olist(_u13975)), _u13979), _u13981)), c_List_Olistrel(_u13975, _u13977))) )).
% 28.96/29.20 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13976), tc_List_Olist(_u13976))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13976), tc_List_Olist(_u13976)), _u13980), _u13982)), c_List_Olistrel(_u13976, _u13978))) | c_List_Olistrelp(_u13976, hAPP(hAPP(c_COMBC(_u13976, tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_fun(_u13976, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13976, tc_fun(tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_fun(_u13976, tc_HOL_Obool)), _u13976), c_COMBC(_u13976, tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13976, tc_prod(_u13976, _u13976)), tc_fun(_u13976, tc_fun(tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_HOL_Obool)), _u13976), hAPP(c_COMBB(tc_prod(_u13976, _u13976), tc_fun(tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_HOL_Obool), _u13976), c_member(tc_prod(_u13976, _u13976)))), c_Product__Type_OPair(_u13976, _u13976)))), _u13978), _u13980, _u13982) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13985), tc_List_Olist(_u13985))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13985), tc_List_Olist(_u13985)), hAPP(hAPP(c_List_Olist_OCons(_u13985), _u13986), _u13987)), _u13988)), c_List_Olistrel(_u13985, _u13989))) | ( _u13988 = hAPP(hAPP(c_List_Olist_OCons(_u13985), skolem325(_u13989, _u13988, _u13987, _u13986, _u13985)), skolem326(_u13989, _u13988, _u13987, _u13986, _u13985))) )).
% 28.96/29.20 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13985), tc_List_Olist(_u13985))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13985), tc_List_Olist(_u13985)), hAPP(hAPP(c_List_Olist_OCons(_u13985), _u13986), _u13987)), _u13988)), c_List_Olistrel(_u13985, _u13989))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13985, _u13985)), hAPP(hAPP(c_Product__Type_OPair(_u13985, _u13985), _u13986), skolem325(_u13989, _u13988, _u13987, _u13986, _u13985))), _u13989)) )).
% 28.96/29.20 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13985), tc_List_Olist(_u13985))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13985), tc_List_Olist(_u13985)), hAPP(hAPP(c_List_Olist_OCons(_u13985), _u13986), _u13987)), _u13988)), c_List_Olistrel(_u13985, _u13989))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13985), tc_List_Olist(_u13985))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13985), tc_List_Olist(_u13985)), _u13987), skolem326(_u13989, _u13988, _u13987, _u13986, _u13985))), c_List_Olistrel(_u13985, _u13989))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13992), tc_List_Olist(_u13992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13992), tc_List_Olist(_u13992)), _u13993), hAPP(hAPP(c_List_Olist_OCons(_u13992), _u13994), _u13995))), c_List_Olistrel(_u13992, _u13996))) | ( _u13993 = hAPP(hAPP(c_List_Olist_OCons(_u13992), skolem327(_u13996, _u13995, _u13994, _u13993, _u13992)), skolem328(_u13996, _u13995, _u13994, _u13993, _u13992))) )).
% 28.96/29.20 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13992), tc_List_Olist(_u13992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13992), tc_List_Olist(_u13992)), _u13993), hAPP(hAPP(c_List_Olist_OCons(_u13992), _u13994), _u13995))), c_List_Olistrel(_u13992, _u13996))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13992, _u13992)), hAPP(hAPP(c_Product__Type_OPair(_u13992, _u13992), skolem327(_u13996, _u13995, _u13994, _u13993, _u13992)), _u13994)), _u13996)) )).
% 28.96/29.20 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13992), tc_List_Olist(_u13992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13992), tc_List_Olist(_u13992)), _u13993), hAPP(hAPP(c_List_Olist_OCons(_u13992), _u13994), _u13995))), c_List_Olistrel(_u13992, _u13996))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13992), tc_List_Olist(_u13992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13992), tc_List_Olist(_u13992)), skolem328(_u13996, _u13995, _u13994, _u13993, _u13992)), _u13995)), c_List_Olistrel(_u13992, _u13996))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u13997, _u13998, c_List_Olist_ONil(_u13997), c_List_Olist_ONil(_u13997)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u13999, _u14000, c_List_Olist_ONil(_u13999), c_List_Olist_ONil(_u13999)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u14001, _u14002), _u14003)) | ~c_List_Olistrelp(_u14004, _u14001, _u14005, _u14006) | c_List_Olistrelp(_u14004, _u14001, hAPP(hAPP(c_List_Olist_OCons(_u14004), _u14002), _u14005), hAPP(hAPP(c_List_Olist_OCons(_u14004), _u14003), _u14006)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u14013, _u14015, hAPP(hAPP(c_List_Olist_OCons(_u14013), _u14017), _u14019), hAPP(hAPP(c_List_Olist_OCons(_u14013), _u14021), _u14023)) | hBOOL(hAPP(hAPP(_u14015, _u14017), _u14021)) )).
% 28.96/29.20 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u14013, _u14015, hAPP(hAPP(c_List_Olist_OCons(_u14013), _u14017), _u14019), hAPP(hAPP(c_List_Olist_OCons(_u14013), _u14021), _u14023)) | c_List_Olistrelp(_u14013, _u14015, _u14019, _u14023) )).
% 28.96/29.20 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u14016, _u14018), _u14022)) | ~c_List_Olistrelp(_u14014, _u14016, _u14020, _u14024) | c_List_Olistrelp(_u14014, _u14016, hAPP(hAPP(c_List_Olist_OCons(_u14014), _u14018), _u14020), hAPP(hAPP(c_List_Olist_OCons(_u14014), _u14022), _u14024)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u14030 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u14032, _u14034, _u14036), _u14030), _u14038) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14034), _u14032), c_List_Olist_ONil(_u14034)), _u14038)) )).
% 28.96/29.20 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u14031 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u14033, _u14035, _u14037), _u14031), _u14039) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u14035), _u14033), tc_prod(_u14035, _u14033), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14035), _u14033), c_List_Olist_ONil(_u14035)), _u14039), hAPP(c_Product__Type_Oprod_Oprod__case(_u14035, _u14033, tc_prod(tc_List_Olist(_u14035), _u14033)), hAPP(hAPP(c_COMBC(_u14035, tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033)), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u14035), _u14033), tc_prod(tc_List_Olist(_u14035), _u14033)), tc_fun(tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033)), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), _u14035), c_COMBB(tc_prod(tc_List_Olist(_u14035), _u14033), tc_prod(tc_List_Olist(_u14035), _u14033), _u14033)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14035), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), tc_fun(tc_prod(tc_List_Olist(_u14035), _u14033), tc_prod(tc_List_Olist(_u14035), _u14033)), _u14035), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14035), _u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14035), tc_List_Olist(_u14035)), tc_fun(tc_List_Olist(_u14035), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), _u14035), hAPP(c_COMBB(tc_List_Olist(_u14035), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033)), tc_List_Olist(_u14035)), c_Product__Type_OPair(tc_List_Olist(_u14035), _u14033))), c_List_Olist_OCons(_u14035))))), hAPP(c_Lazy__Sequence_Oanamorph(_u14033, _u14035, _u14037), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14031), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u14037, _u14039))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u14040, _u14041, hAPP(hAPP(c_List_Olist_OCons(_u14040), _u14042), _u14043)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u14041, _u14042)), c_List_Olist_Olist__size(_u14040, _u14041, _u14043))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14044, _u14044), tc_HOL_Obool)), _u14045), hAPP(hAPP(c_Product__Type_OSigma(_u14044, _u14044), _u14046), hAPP(c_COMBK(tc_fun(_u14044, tc_HOL_Obool), _u14044), _u14046)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14044), tc_List_Olist(_u14044)), tc_HOL_Obool)), c_List_Olistrel(_u14044, _u14045)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u14044), tc_List_Olist(_u14044)), c_List_Olists(_u14044, _u14046)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u14044), tc_HOL_Obool), tc_List_Olist(_u14044)), c_List_Olists(_u14044, _u14046))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14047)), c_List_Olist_ONil(_u14047)), c_List_Olists(_u14047, _u14048))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u14049, c_Orderings_Otop__class_Otop(tc_fun(_u14049, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14049), tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14050, tc_HOL_Obool)), _u14051), _u14052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u14050), tc_HOL_Obool)), c_List_Olists(_u14050, _u14051)), c_List_Olists(_u14050, _u14052))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14057)), hAPP(hAPP(c_List_Oappend(_u14057), _u14059), _u14061)), c_List_Olists(_u14057, _u14063))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14057)), _u14059), c_List_Olists(_u14057, _u14063))) )).
% 28.96/29.20 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14057)), hAPP(hAPP(c_List_Oappend(_u14057), _u14059), _u14061)), c_List_Olists(_u14057, _u14063))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14057)), _u14061), c_List_Olists(_u14057, _u14063))) )).
% 28.96/29.20 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14058)), _u14060), c_List_Olists(_u14058, _u14064))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14058)), _u14062), c_List_Olists(_u14058, _u14064))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14058)), hAPP(hAPP(c_List_Oappend(_u14058), _u14060), _u14062)), c_List_Olists(_u14058, _u14064))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14065, _u14066, _u14067) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u14065), c_List_Olists(_u14065, _u14066), c_List_Olistrel(_u14065, _u14067)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u14068, _u14069, _u14070) | c_Relation_Orefl__on(tc_List_Olist(_u14068), c_List_Olists(_u14068, _u14069), c_List_Olistrel(_u14068, _u14070)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u14071, _u14072, c_List_Olist_ONil(_u14071)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14077)), hAPP(hAPP(c_List_Olist_OCons(_u14077), _u14079), _u14081)), c_List_Olists(_u14077, _u14083))) | hBOOL(hAPP(hAPP(c_member(_u14077), _u14079), _u14083)) )).
% 28.96/29.20 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14077)), hAPP(hAPP(c_List_Olist_OCons(_u14077), _u14079), _u14081)), c_List_Olists(_u14077, _u14083))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14077)), _u14081), c_List_Olists(_u14077, _u14083))) )).
% 28.96/29.20 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14078), _u14080), _u14084)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14078)), _u14082), c_List_Olists(_u14078, _u14084))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14078)), hAPP(hAPP(c_List_Olist_OCons(_u14078), _u14080), _u14082)), c_List_Olists(_u14078, _u14084))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u14085, c_Orderings_Obot__class_Obot(tc_fun(_u14085, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14085)), c_List_Olist_ONil(_u14085)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14085), tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14086)), _u14087), c_List_Olists(_u14086, c_Wellfounded_Oacc(_u14086, _u14088)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14086)), _u14087), c_Wellfounded_Oacc(tc_List_Olist(_u14086), c_List_Olistrel1(_u14086, _u14088)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14089)), _u14090), c_Wellfounded_Oacc(tc_List_Olist(_u14089), c_List_Olistrel1(_u14089, _u14091)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14089)), _u14090), c_List_Olists(_u14089, c_Wellfounded_Oacc(_u14089, _u14091)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u14094 != hAPP(hAPP(c_List_Olist_OCons(_u14095), _u14093), _u14092)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14095), tc_List_Olist(_u14095))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14095), tc_List_Olist(_u14095)), _u14096), hAPP(hAPP(c_List_Oappend(_u14095), _u14096), _u14094))), c_List_Olexord(_u14095, _u14097))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14105), tc_List_Olist(_u14105))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14105), tc_List_Olist(_u14105)), c_List_Olist_ONil(_u14105)), _u14107)), c_List_Olexord(_u14105, _u14109))) | ( _u14107 = hAPP(hAPP(c_List_Olist_OCons(_u14105), skolem329(_u14109, _u14107, _u14105)), skolem330(_u14109, _u14107, _u14105))) )).
% 28.96/29.20 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u14108 != hAPP(hAPP(c_List_Olist_OCons(_u14106), _u14101), _u14100)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14106), tc_List_Olist(_u14106))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14106), tc_List_Olist(_u14106)), c_List_Olist_ONil(_u14106)), _u14108)), c_List_Olexord(_u14106, _u14110))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14117), tc_List_Olist(_u14117))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14117), tc_List_Olist(_u14117)), _u14119), _u14121)), c_List_Olistrel(_u14117, _u14123))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14117)), _u14119) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14117)), _u14121)) )).
% 28.96/29.20 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14117), tc_List_Olist(_u14117))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14117), tc_List_Olist(_u14117)), _u14119), _u14121)), c_List_Olistrel(_u14117, _u14123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14111), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14117)), _u14119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14117, _u14117)), hAPP(hAPP(c_Product__Type_OPair(_u14117, _u14117), hAPP(hAPP(c_List_Onth(_u14117), _u14119), _u14111)), hAPP(hAPP(c_List_Onth(_u14117), _u14121), _u14111))), _u14123)) )).
% 28.96/29.20 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14118), tc_List_Olist(_u14118))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14118), tc_List_Olist(_u14118)), _u14120), _u14122)), c_List_Olistrel(_u14118, _u14124))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14120) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem331(_u14124, _u14122, _u14120, _u14118)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14120))) )).
% 28.96/29.20 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14118), tc_List_Olist(_u14118))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14118), tc_List_Olist(_u14118)), _u14120), _u14122)), c_List_Olistrel(_u14118, _u14124))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14120) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14122)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14118, _u14118)), hAPP(hAPP(c_Product__Type_OPair(_u14118, _u14118), hAPP(hAPP(c_List_Onth(_u14118), _u14120), skolem331(_u14124, _u14122, _u14120, _u14118))), hAPP(hAPP(c_List_Onth(_u14118), _u14122), skolem331(_u14124, _u14122, _u14120, _u14118)))), _u14124)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14125)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14125), tc_HOL_Obool)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u14131 != _u14133) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14135)), _u14131) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14135)), _u14133)) )).
% 28.96/29.20 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u14131 != _u14133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14126), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14135)), _u14131))) | ( hAPP(hAPP(c_List_Onth(_u14135), _u14131), _u14126) = hAPP(hAPP(c_List_Onth(_u14135), _u14133), _u14126)) )).
% 28.96/29.20 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u14132 = _u14134) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14132) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem332(_u14136, _u14134, _u14132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14132))) )).
% 28.96/29.20 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u14132 = _u14134) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14132) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14134)) | ( hAPP(hAPP(c_List_Onth(_u14136), _u14132), skolem332(_u14136, _u14134, _u14132)) != hAPP(hAPP(c_List_Onth(_u14136), _u14134), skolem332(_u14136, _u14134, _u14132))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u14137), hAPP(hAPP(c_List_Olist_OCons(_u14137), _u14138), _u14139)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u14138) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u14140), hAPP(hAPP(c_List_Olist_OCons(_u14140), _u14141), _u14142)), hAPP(c_Nat_OSuc, _u14143)) = hAPP(hAPP(c_List_Onth(_u14140), _u14142), _u14143)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u14144), hAPP(hAPP(c_List_Olist_OCons(_u14144), _u14145), _u14146)), _u14147) = c_Nat_Onat_Onat__case(_u14144, _u14145, hAPP(c_List_Onth(_u14144), _u14146), _u14147)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u14148), hAPP(hAPP(c_List_Oappend(_u14148), _u14149), hAPP(hAPP(c_List_Olist_OCons(_u14148), _u14150), _u14151))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14148)), _u14149)) = _u14150) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u14152), hAPP(hAPP(c_List_Oappend(_u14152), _u14153), _u14154)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14152)), _u14153)), _u14155)) = hAPP(hAPP(c_List_Onth(_u14152), _u14154), _u14155)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14160), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14162)), _u14164))) | ( hAPP(hAPP(c_List_Onth(_u14162), hAPP(hAPP(c_List_Oappend(_u14162), _u14164), _u14166)), _u14160) = hAPP(hAPP(c_List_Onth(_u14162), _u14164), _u14160)) )).
% 28.96/29.20 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14161), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14163)), _u14165))) | ( hAPP(hAPP(c_List_Onth(_u14163), hAPP(hAPP(c_List_Oappend(_u14163), _u14165), _u14167)), _u14161) = hAPP(hAPP(c_List_Onth(_u14163), _u14167), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14161), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14163)), _u14165)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__Cons_H-1, axiom, ( ( _u14172 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u14174), hAPP(hAPP(c_List_Olist_OCons(_u14174), _u14176), _u14178)), _u14172) = _u14176) )).
% 28.96/29.20 cnf(fact_nth__Cons_H-2, axiom, ( ( _u14173 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u14175), hAPP(hAPP(c_List_Olist_OCons(_u14175), _u14177), _u14179)), _u14173) = hAPP(hAPP(c_List_Onth(_u14175), _u14179), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14173), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14184) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u14186), hAPP(hAPP(c_List_Olist_OCons(_u14186), _u14188), _u14190)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14184)) = _u14188) )).
% 28.96/29.20 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14185) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u14187), hAPP(hAPP(c_List_Olist_OCons(_u14187), _u14189), _u14191)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14185)) = hAPP(hAPP(c_List_Onth(_u14187), _u14191), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14185)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem333(_u14204, _u14202, _u14200, _u14198)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202)))) )).
% 28.96/29.20 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202))) | ( hAPP(hAPP(c_List_Otake(_u14198), skolem333(_u14204, _u14202, _u14200, _u14198)), _u14200) = hAPP(hAPP(c_List_Otake(_u14198), skolem333(_u14204, _u14202, _u14200, _u14198)), _u14202)) )).
% 28.96/29.20 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), hAPP(hAPP(c_Product__Type_OPair(_u14198, _u14198), hAPP(hAPP(c_List_Onth(_u14198), _u14200), skolem333(_u14204, _u14202, _u14200, _u14198))), hAPP(hAPP(c_List_Onth(_u14198), _u14202), skolem333(_u14204, _u14202, _u14200, _u14198)))), _u14204)) )).
% 28.96/29.20 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | ( hAPP(hAPP(c_List_Otake(_u14198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), _u14202) = _u14200) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem333(_u14204, _u14202, _u14200, _u14198)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202)))) )).
% 28.96/29.20 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | ( hAPP(hAPP(c_List_Otake(_u14198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), _u14202) = _u14200) | ( hAPP(hAPP(c_List_Otake(_u14198), skolem333(_u14204, _u14202, _u14200, _u14198)), _u14200) = hAPP(hAPP(c_List_Otake(_u14198), skolem333(_u14204, _u14202, _u14200, _u14198)), _u14202)) )).
% 28.96/29.20 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | ( hAPP(hAPP(c_List_Otake(_u14198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), _u14202) = _u14200) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), hAPP(hAPP(c_Product__Type_OPair(_u14198, _u14198), hAPP(hAPP(c_List_Onth(_u14198), _u14200), skolem333(_u14204, _u14202, _u14200, _u14198))), hAPP(hAPP(c_List_Onth(_u14198), _u14202), skolem333(_u14204, _u14202, _u14200, _u14198)))), _u14204)) )).
% 28.96/29.20 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14199), tc_List_Olist(_u14199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14199), tc_List_Olist(_u14199)), _u14201), _u14203)), c_List_Olexord(_u14199, _u14205))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14201)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14203))) | ( hAPP(hAPP(c_List_Otake(_u14199), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14201)), _u14203) != _u14201) )).
% 28.96/29.20 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14199), tc_List_Olist(_u14199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14199), tc_List_Olist(_u14199)), _u14201), _u14203)), c_List_Olexord(_u14199, _u14205))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14193), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14201)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14203)))) | ( hAPP(hAPP(c_List_Otake(_u14199), _u14193), _u14201) != hAPP(hAPP(c_List_Otake(_u14199), _u14193), _u14203)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14199, _u14199)), hAPP(hAPP(c_Product__Type_OPair(_u14199, _u14199), hAPP(hAPP(c_List_Onth(_u14199), _u14201), _u14193)), hAPP(hAPP(c_List_Onth(_u14199), _u14203), _u14193))), _u14205)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14206), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14207)), _u14208))) | ( hAPP(hAPP(c_List_Otake(_u14207), hAPP(c_Nat_OSuc, _u14206)), _u14208) = hAPP(hAPP(c_List_Oappend(_u14207), hAPP(hAPP(c_List_Otake(_u14207), _u14206), _u14208)), hAPP(hAPP(c_List_Olist_OCons(_u14207), hAPP(hAPP(c_List_Onth(_u14207), _u14208), _u14206)), c_List_Olist_ONil(_u14207)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14210, _u14210)), hAPP(hAPP(c_Product__Type_OPair(_u14210, _u14210), skolem334(_u14212, _u14211, _u14210)), skolem334(_u14212, _u14211, _u14210))), _u14211)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14210), tc_List_Olist(_u14210))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14210), tc_List_Olist(_u14210)), _u14212), _u14212)), c_List_Olexord(_u14210, _u14211))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__all ( axiom ) converted to clauses:
% 28.96/29.20 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(_u14213)), _u14214)), _u14215)) | ( hAPP(hAPP(c_List_Otake(_u14213), _u14215), _u14214) = _u14214) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14216), _u14217)) | ( hAPP(hAPP(c_List_Onth(_u14218), hAPP(hAPP(c_List_Otake(_u14218), _u14217), _u14219)), _u14216) = hAPP(hAPP(c_List_Onth(_u14218), _u14219), _u14216)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14220), hAPP(c_Nat_OSuc, _u14221)), hAPP(hAPP(c_List_Olist_OCons(_u14220), _u14222), _u14223)) = hAPP(hAPP(c_List_Olist_OCons(_u14220), _u14222), hAPP(hAPP(c_List_Otake(_u14220), _u14221), _u14223))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14224), _u14225), hAPP(hAPP(c_List_Otake(_u14224), _u14226), _u14227)) = hAPP(hAPP(c_List_Otake(_u14224), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u14225), _u14226)), _u14227)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14228), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14229) = c_List_Olist_ONil(_u14228)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14233), _u14235), _u14237) != c_List_Olist_ONil(_u14233)) | ( _u14235 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14237 = c_List_Olist_ONil(_u14233)) )).
% 28.96/29.20 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14234), _u14236), _u14238) = c_List_Olist_ONil(_u14234)) | ( _u14236 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14234), _u14236), _u14238) = c_List_Olist_ONil(_u14234)) | ( _u14238 != c_List_Olist_ONil(_u14234)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14239), _u14240), c_List_Olist_ONil(_u14239)) = c_List_Olist_ONil(_u14239)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14241)), hAPP(hAPP(c_List_Otake(_u14241), _u14242), _u14243)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14241)), _u14243)), _u14242)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14244), _u14245), hAPP(hAPP(c_List_Olist_OCons(_u14244), _u14246), _u14247)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u14244), c_List_Olist_ONil(_u14244), hAPP(hAPP(c_COMBB(tc_List_Olist(_u14244), tc_List_Olist(_u14244), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u14244), _u14246)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u14244), tc_List_Olist(_u14244)), c_List_Otake(_u14244)), _u14247)), _u14245)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u14248, _u14249, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u14250)) = hAPP(hAPP(c_List_Otake(_u14248), _u14250), _u14249)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14251), _u14252), hAPP(hAPP(c_List_Oappend(_u14251), _u14253), _u14254)) = hAPP(hAPP(c_List_Oappend(_u14251), hAPP(hAPP(c_List_Otake(_u14251), _u14252), _u14253)), hAPP(hAPP(c_List_Otake(_u14251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14252), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14251)), _u14253))), _u14254))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14255), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u14255), _u14256), _u14257)) = hAPP(hAPP(c_List_Olist_OCons(_u14255), _u14256), c_List_Olist_ONil(_u14255))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__Cons_H-1, axiom, ( ( _u14262 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u14264), _u14262), hAPP(hAPP(c_List_Olist_OCons(_u14264), _u14266), _u14268)) = c_List_Olist_ONil(_u14264)) )).
% 28.96/29.20 cnf(fact_take__Cons_H-2, axiom, ( ( _u14263 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u14265), _u14263), hAPP(hAPP(c_List_Olist_OCons(_u14265), _u14267), _u14269)) = hAPP(hAPP(c_List_Olist_OCons(_u14265), _u14267), hAPP(hAPP(c_List_Otake(_u14265), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14263), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u14269))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14274) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u14276), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14274)), hAPP(hAPP(c_List_Olist_OCons(_u14276), _u14278), _u14280)) = c_List_Olist_ONil(_u14276)) )).
% 28.96/29.20 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14275) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u14277), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14275)), hAPP(hAPP(c_List_Olist_OCons(_u14277), _u14279), _u14281)) = hAPP(hAPP(c_List_Olist_OCons(_u14277), _u14279), hAPP(hAPP(c_List_Otake(_u14277), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14275)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u14281))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14282), _u14283)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14282)), hAPP(c_Set_OCollect(tc_List_Olist(_u14282)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14282), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14282)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14282), tc_fun(_u14282, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14282, tc_HOL_Obool), tc_fun(tc_fun(_u14282, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14282)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14282, tc_HOL_Obool))), c_List_Oset(_u14282))), _u14283))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14282), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14282)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14282)))), _u14284))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14286)), _u14287))) | ( _u14287 = hAPP(hAPP(c_List_Oappend(_u14286), hAPP(hAPP(c_List_Otake(_u14286), _u14285), _u14287)), hAPP(hAPP(c_List_Olist_OCons(_u14286), hAPP(hAPP(c_List_Onth(_u14286), _u14287), _u14285)), hAPP(hAPP(c_List_Odrop(_u14286), hAPP(c_Nat_OSuc, _u14285)), _u14287)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14288), hAPP(c_List_Oset(_u14288), _u14289))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14290, tc_HOL_Obool)), hAPP(c_List_Oset(_u14290), hAPP(hAPP(c_List_Otake(_u14290), _u14291), _u14292))), hAPP(c_List_Oset(_u14290), _u14292))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14293), _u14294), hAPP(hAPP(c_List_Odrop(_u14293), _u14295), _u14296)) = hAPP(hAPP(c_List_Odrop(_u14293), _u14295), hAPP(hAPP(c_List_Otake(_u14293), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14294), _u14295)), _u14296))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14297), _u14298), hAPP(c_List_Oset(_u14297), hAPP(hAPP(c_List_Otake(_u14297), _u14299), _u14300)))) | hBOOL(hAPP(hAPP(c_member(_u14297), _u14298), hAPP(c_List_Oset(_u14297), _u14300))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u14301), c_List_Olist_ONil(_u14301)) = c_Orderings_Obot__class_Obot(tc_fun(_u14301, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u14304, tc_HOL_Obool)) != hAPP(c_List_Oset(_u14304), _u14306)) | ( _u14306 = c_List_Olist_ONil(_u14304)) )).
% 28.96/29.20 cnf(fact_set__empty2-2, axiom, ( ( _u14307 != c_List_Olist_ONil(_u14305)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14305, tc_HOL_Obool)) = hAPP(c_List_Oset(_u14305), _u14307)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u14310), _u14312) != c_Orderings_Obot__class_Obot(tc_fun(_u14310, tc_HOL_Obool))) | ( _u14312 = c_List_Olist_ONil(_u14310)) )).
% 28.96/29.20 cnf(fact_set__empty-2, axiom, ( ( _u14313 != c_List_Olist_ONil(_u14311)) | ( hAPP(c_List_Oset(_u14311), _u14313) = c_Orderings_Obot__class_Obot(tc_fun(_u14311, tc_HOL_Obool))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14314), _u14315), c_List_Olist_ONil(_u14314)) = c_List_Olist_ONil(_u14314)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14316), _u14317), hAPP(c_List_Oset(_u14316), hAPP(hAPP(c_List_Odrop(_u14316), _u14318), _u14319)))) | hBOOL(hAPP(hAPP(c_member(_u14316), _u14317), hAPP(c_List_Oset(_u14316), _u14319))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14320)), hAPP(hAPP(c_List_Odrop(_u14320), _u14321), _u14322)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14320)), _u14322)), _u14321)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u14323), hAPP(hAPP(c_List_Oappend(_u14323), _u14324), _u14325)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14323, tc_HOL_Obool)), hAPP(c_List_Oset(_u14323), _u14324)), hAPP(c_List_Oset(_u14323), _u14325))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14326), _u14327), hAPP(hAPP(c_List_Odrop(_u14326), _u14328), _u14329)) = hAPP(hAPP(c_List_Odrop(_u14326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14327), _u14328)), _u14329)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14330), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14331) = _u14331) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u14332), hAPP(hAPP(c_List_Olist_OCons(_u14332), _u14333), _u14334)) = hAPP(hAPP(c_Set_Oinsert(_u14332), _u14333), hAPP(c_List_Oset(_u14332), _u14334))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14335), _u14336), hAPP(hAPP(c_List_Olist_OCons(_u14335), _u14337), _u14338)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u14335), hAPP(hAPP(c_List_Olist_OCons(_u14335), _u14337), _u14338), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u14335), tc_List_Olist(_u14335)), c_List_Odrop(_u14335)), _u14338), _u14336)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14339), hAPP(c_Nat_OSuc, _u14340)), hAPP(hAPP(c_List_Olist_OCons(_u14339), _u14341), _u14342)) = hAPP(hAPP(c_List_Odrop(_u14339), _u14340), _u14342)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14343), _u14344), hAPP(c_List_Oset(_u14343), hAPP(hAPP(c_List_Olist_OCons(_u14343), _u14345), _u14346)))) | ( _u14344 = _u14345) | hBOOL(hAPP(hAPP(c_member(_u14343), _u14344), hAPP(c_List_Oset(_u14343), _u14346))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14347), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u14347), _u14348), _u14349)) = _u14349) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14350, tc_HOL_Obool)), hAPP(c_List_Oset(_u14350), _u14351)), hAPP(c_List_Oset(_u14350), hAPP(hAPP(c_List_Olist_OCons(_u14350), _u14352), _u14351)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14353), _u14354), _u14355) != hAPP(hAPP(c_List_Olist_OCons(_u14353), _u14356), _u14357)) | ( hAPP(hAPP(c_List_Onth(_u14353), _u14355), _u14354) = _u14356) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14358), _u14359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14360, tc_HOL_Obool)), hAPP(c_List_Oset(_u14360), hAPP(hAPP(c_List_Odrop(_u14360), _u14359), _u14361))), hAPP(c_List_Oset(_u14360), hAPP(hAPP(c_List_Odrop(_u14360), _u14358), _u14361)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14362, tc_HOL_Obool)), hAPP(c_List_Oset(_u14362), hAPP(hAPP(c_List_Odrop(_u14362), _u14363), _u14364))), hAPP(c_List_Oset(_u14362), _u14364))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14365), _u14366), hAPP(hAPP(c_List_Otake(_u14365), _u14367), _u14368)) = hAPP(hAPP(c_List_Otake(_u14365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14367), _u14366)), hAPP(hAPP(c_List_Odrop(_u14365), _u14366), _u14368))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14369), hAPP(hAPP(c_List_Otake(_u14369), _u14370), _u14371)), hAPP(hAPP(c_List_Odrop(_u14369), _u14370), _u14371)) = _u14371) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14372), _u14373), hAPP(c_List_Oset(_u14372), _u14374))) | ~hBOOL(hAPP(hAPP(c_member(_u14372), _u14373), hAPP(c_List_Oset(_u14372), c_List_Osublist(_u14372, _u14374, _u14375)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14376), _u14377), hAPP(c_List_Oset(_u14376), c_List_Osublist(_u14376, _u14378, _u14379)))) | hBOOL(hAPP(hAPP(c_member(_u14376), _u14377), hAPP(c_List_Oset(_u14376), _u14378))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14380, tc_HOL_Obool)), hAPP(c_List_Oset(_u14380), c_List_Osublist(_u14380, _u14381, _u14382))), hAPP(c_List_Oset(_u14380), _u14381))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__length ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u14383), hAPP(c_List_Oset(_u14383), _u14384))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14383)), _u14384))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14392)), _u14394))) | hBOOL(hAPP(_u14396, hAPP(hAPP(c_List_Onth(_u14392), _u14394), _u14386))) | hBOOL(hAPP(hAPP(c_member(_u14392), skolem335(_u14396, _u14394, _u14392)), hAPP(c_List_Oset(_u14392), _u14394))) )).
% 28.96/29.20 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14392)), _u14394))) | hBOOL(hAPP(_u14396, hAPP(hAPP(c_List_Onth(_u14392), _u14394), _u14386))) | ~hBOOL(hAPP(_u14396, skolem335(_u14396, _u14394, _u14392))) )).
% 28.96/29.20 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14393), _u14388), hAPP(c_List_Oset(_u14393), _u14395))) | hBOOL(hAPP(_u14397, _u14388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem336(_u14397, _u14395, _u14393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14393)), _u14395))) )).
% 28.96/29.20 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14393), _u14388), hAPP(c_List_Oset(_u14393), _u14395))) | hBOOL(hAPP(_u14397, _u14388)) | ~hBOOL(hAPP(_u14397, hAPP(hAPP(c_List_Onth(_u14393), _u14395), skolem336(_u14397, _u14395, _u14393)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14398), _u14399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14400, tc_HOL_Obool)), hAPP(c_List_Oset(_u14400), hAPP(hAPP(c_List_Otake(_u14400), _u14398), _u14401))), hAPP(c_List_Oset(_u14400), hAPP(hAPP(c_List_Otake(_u14400), _u14399), _u14401)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14405), _u14407), _u14409) != c_List_Olist_ONil(_u14405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14405)), _u14409)), _u14407)) )).
% 28.96/29.20 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(_u14406)), _u14410)), _u14408)) | ( hAPP(hAPP(c_List_Odrop(_u14406), _u14408), _u14410) = c_List_Olist_ONil(_u14406)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 28.96/29.20 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(_u14411)), _u14412)), _u14413)) | ( hAPP(hAPP(c_List_Odrop(_u14411), _u14413), _u14412) = c_List_Olist_ONil(_u14411)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14414), _u14415), hAPP(hAPP(c_List_Oappend(_u14414), _u14416), _u14417)) = hAPP(hAPP(c_List_Oappend(_u14414), hAPP(hAPP(c_List_Odrop(_u14414), _u14415), _u14416)), hAPP(hAPP(c_List_Odrop(_u14414), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14415), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14414)), _u14416))), _u14417))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14422), _u14424), _u14426) != _u14428) | ( _u14424 = hAPP(hAPP(c_List_Otake(_u14422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14422)), _u14424)), _u14428)) )).
% 28.96/29.20 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14422), _u14424), _u14426) != _u14428) | ( _u14426 = hAPP(hAPP(c_List_Odrop(_u14422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14422)), _u14424)), _u14428)) )).
% 28.96/29.20 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u14425 != hAPP(hAPP(c_List_Otake(_u14423), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14423)), _u14425)), _u14429)) | ( _u14427 != hAPP(hAPP(c_List_Odrop(_u14423), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14423)), _u14425)), _u14429)) | ( hAPP(hAPP(c_List_Oappend(_u14423), _u14425), _u14427) = _u14429) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14430), _u14431), hAPP(c_List_Oset(_u14430), _u14432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14433), hAPP(_u14434, _u14431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14433), c_List_Olist_Olist__size(_u14430, _u14434, _u14432))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14435), _u14436), hAPP(c_List_Oset(_u14435), _u14437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14438), hAPP(_u14439, _u14436))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14438), c_List_Olist_Olist__size(_u14435, _u14439, _u14437))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14445)), _u14447), c_List_Olists(_u14445, _u14449))) | ~hBOOL(hAPP(hAPP(c_member(_u14445), _u14440), hAPP(c_List_Oset(_u14445), _u14447))) | hBOOL(hAPP(hAPP(c_member(_u14445), _u14440), _u14449)) )).
% 28.96/29.20 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14446)), _u14448), c_List_Olists(_u14446, _u14450))) | hBOOL(hAPP(hAPP(c_member(_u14446), skolem337(_u14450, _u14448, _u14446)), hAPP(c_List_Oset(_u14446), _u14448))) )).
% 28.96/29.20 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14446)), _u14448), c_List_Olists(_u14446, _u14450))) | ~hBOOL(hAPP(hAPP(c_member(_u14446), skolem337(_u14450, _u14448, _u14446)), _u14450)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14451), _u14452), hAPP(c_List_Oset(_u14451), _u14453))) | 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(_u14451)), _u14453))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14454), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14455)), _u14456))) | hBOOL(hAPP(hAPP(c_member(_u14455), hAPP(hAPP(c_List_Onth(_u14455), _u14456), _u14454)), hAPP(c_List_Oset(_u14455), _u14456))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14462), _u14464), hAPP(c_List_Oset(_u14462), _u14466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem338(_u14466, _u14464, _u14462)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14462)), _u14466))) )).
% 28.96/29.20 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14462), _u14464), hAPP(c_List_Oset(_u14462), _u14466))) | ( hAPP(hAPP(c_List_Onth(_u14462), _u14466), skolem338(_u14466, _u14464, _u14462)) = _u14464) )).
% 28.96/29.20 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14458), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14463)), _u14467))) | ( hAPP(hAPP(c_List_Onth(_u14463), _u14467), _u14458) != _u14465) | hBOOL(hAPP(hAPP(c_member(_u14463), _u14465), hAPP(c_List_Oset(_u14463), _u14467))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u14468, _u14469) = hAPP(c_Set_OCollect(tc_List_Olist(_u14468)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14468), tc_fun(_u14468, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14468, tc_HOL_Obool), tc_fun(tc_fun(_u14468, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14468)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14468, tc_HOL_Obool))), c_List_Oset(_u14468))), _u14469))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__Cons_H-1, axiom, ( ( _u14474 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u14476), _u14474), hAPP(hAPP(c_List_Olist_OCons(_u14476), _u14478), _u14480)) = hAPP(hAPP(c_List_Olist_OCons(_u14476), _u14478), _u14480)) )).
% 28.96/29.20 cnf(fact_drop__Cons_H-2, axiom, ( ( _u14475 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u14477), _u14475), hAPP(hAPP(c_List_Olist_OCons(_u14477), _u14479), _u14481)) = hAPP(hAPP(c_List_Odrop(_u14477), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14475), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u14481)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 28.96/29.20 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), _u14482), _u14483)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14484)), _u14485))) | ( hAPP(hAPP(c_List_Onth(_u14484), hAPP(hAPP(c_List_Odrop(_u14484), _u14482), _u14485)), _u14483) = hAPP(hAPP(c_List_Onth(_u14484), _u14485), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14482), _u14483))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14491), _u14493), _u14495) != hAPP(hAPP(c_List_Oappend(_u14491), _u14497), _u14499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497))) | ( _u14493 = hAPP(hAPP(c_List_Otake(_u14491), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), _u14497)) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14491), _u14493), _u14495) != hAPP(hAPP(c_List_Oappend(_u14491), _u14497), _u14499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497))) | ( _u14495 = hAPP(hAPP(c_List_Oappend(_u14491), hAPP(hAPP(c_List_Odrop(_u14491), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), _u14497)), _u14499)) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14491), _u14493), _u14495) != hAPP(hAPP(c_List_Oappend(_u14491), _u14497), _u14499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497))) | ( hAPP(hAPP(c_List_Otake(_u14491), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497)), _u14493) = _u14497) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14491), _u14493), _u14495) != hAPP(hAPP(c_List_Oappend(_u14491), _u14497), _u14499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497))) | ( hAPP(hAPP(c_List_Oappend(_u14491), hAPP(hAPP(c_List_Odrop(_u14491), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497)), _u14493)), _u14495) = _u14499) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14492), _u14494), _u14496) = hAPP(hAPP(c_List_Oappend(_u14492), _u14498), _u14500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498))) | ( hAPP(hAPP(c_List_Otake(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498)), _u14494) != _u14498) | ( hAPP(hAPP(c_List_Oappend(_u14492), hAPP(hAPP(c_List_Odrop(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498)), _u14494)), _u14496) != _u14500) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14492), _u14494), _u14496) = hAPP(hAPP(c_List_Oappend(_u14492), _u14498), _u14500)) | ( _u14494 != hAPP(hAPP(c_List_Otake(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), _u14498)) | ( _u14496 != hAPP(hAPP(c_List_Oappend(_u14492), hAPP(hAPP(c_List_Odrop(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), _u14498)), _u14500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498))) )).
% 28.96/29.20 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u14492), _u14494), _u14496) = hAPP(hAPP(c_List_Oappend(_u14492), _u14498), _u14500)) | ( _u14494 != hAPP(hAPP(c_List_Otake(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), _u14498)) | ( _u14496 != hAPP(hAPP(c_List_Oappend(_u14492), hAPP(hAPP(c_List_Odrop(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), _u14498)), _u14500)) | ( hAPP(hAPP(c_List_Otake(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498)), _u14494) != _u14498) | ( hAPP(hAPP(c_List_Oappend(_u14492), hAPP(hAPP(c_List_Odrop(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498)), _u14494)), _u14496) != _u14500) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u14501), _u14502) = hAPP(c_Set_OCollect(_u14501), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u14501), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u14501, 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)), _u14501), 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)), _u14501), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u14501, tc_fun(tc_Nat_Onat, _u14501), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14501, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u14501), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u14501), c_COMBB(_u14501, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u14501), _u14502))))), 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(_u14501)), _u14502)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14503), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14504)), _u14505))) | ( hAPP(hAPP(c_List_Olist_OCons(_u14504), hAPP(hAPP(c_List_Onth(_u14504), _u14505), _u14503)), hAPP(hAPP(c_List_Odrop(_u14504), hAPP(c_Nat_OSuc, _u14503)), _u14505)) = hAPP(hAPP(c_List_Odrop(_u14504), _u14503), _u14505)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14510) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u14512), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14510)), hAPP(hAPP(c_List_Olist_OCons(_u14512), _u14514), _u14516)) = hAPP(hAPP(c_List_Olist_OCons(_u14512), _u14514), _u14516)) )).
% 28.96/29.20 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14511) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u14513), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14511)), hAPP(hAPP(c_List_Olist_OCons(_u14513), _u14515), _u14517)) = hAPP(hAPP(c_List_Odrop(_u14513), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14511)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u14517)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__add ( axiom ) converted to clauses:
% 28.96/29.20 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), _u14518), _u14519)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14520)), _u14521))) | ( hAPP(hAPP(c_List_Otake(_u14520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14518), _u14519)), _u14521) = hAPP(hAPP(c_List_Oappend(_u14520), hAPP(hAPP(c_List_Otake(_u14520), _u14518), _u14521)), hAPP(hAPP(c_List_Otake(_u14520), _u14519), hAPP(hAPP(c_List_Odrop(_u14520), _u14518), _u14521)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14522), _u14523)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14522)), hAPP(c_Set_OCollect(tc_List_Olist(_u14522)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14522), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14522)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14522), tc_fun(_u14522, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14522, tc_HOL_Obool), tc_fun(tc_fun(_u14522, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14522)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14522, tc_HOL_Obool))), c_List_Oset(_u14522))), _u14523))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14522), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14522)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14522)))), _u14524))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u14525), c_List_Osublist(_u14525, _u14526, _u14527)) = hAPP(c_Set_OCollect(_u14525), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u14525), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u14525, 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)), _u14525), 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)), _u14525), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u14525, tc_fun(tc_Nat_Onat, _u14525), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14525, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u14525), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u14525), c_COMBB(_u14525, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u14525), _u14526))))), 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(_u14525)), _u14526)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14527)))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_select ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_select-1, axiom, ( ( _u14528 = c_List_Olist_ONil(_u14529)) | hBOOL(hAPP(hAPP(c_member(_u14529), hAPP(c_Product__Type_Ofst(_u14529, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u14529, _u14528), _u14530))), hAPP(c_List_Oset(_u14529), _u14528))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14532)), _u14533))) | ( hAPP(hAPP(c_List_Oappend(_u14532), hAPP(hAPP(c_List_Otake(_u14532), _u14531), _u14533)), hAPP(hAPP(c_List_Olist_OCons(_u14532), hAPP(c_List_Ohd(_u14532), hAPP(hAPP(c_List_Odrop(_u14532), _u14531), _u14533))), c_List_Olist_ONil(_u14532))) = hAPP(hAPP(c_List_Otake(_u14532), hAPP(c_Nat_OSuc, _u14531)), _u14533)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u14534), hAPP(hAPP(c_List_Olist_OCons(_u14534), _u14535), _u14536)) = _u14535) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hd__append2-1, axiom, ( ( _u14537 = c_List_Olist_ONil(_u14538)) | ( hAPP(c_List_Ohd(_u14538), hAPP(hAPP(c_List_Oappend(_u14538), _u14537), _u14539)) = hAPP(c_List_Ohd(_u14538), _u14537)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hd__append-1, axiom, ( ( _u14543 != c_List_Olist_ONil(_u14545)) | ( hAPP(c_List_Ohd(_u14545), hAPP(hAPP(c_List_Oappend(_u14545), _u14543), _u14547)) = hAPP(c_List_Ohd(_u14545), _u14547)) )).
% 28.96/29.20 cnf(fact_hd__append-2, axiom, ( ( _u14544 = c_List_Olist_ONil(_u14546)) | ( hAPP(c_List_Ohd(_u14546), hAPP(hAPP(c_List_Oappend(_u14546), _u14544), _u14548)) = hAPP(c_List_Ohd(_u14546), _u14544)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hd__in__set-1, axiom, ( ( _u14549 = c_List_Olist_ONil(_u14550)) | hBOOL(hAPP(hAPP(c_member(_u14550), hAPP(c_List_Ohd(_u14550), _u14549)), hAPP(c_List_Oset(_u14550), _u14549))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hd__conv__nth-1, axiom, ( ( _u14551 = c_List_Olist_ONil(_u14552)) | ( hAPP(c_List_Ohd(_u14552), _u14551) = hAPP(hAPP(c_List_Onth(_u14552), _u14551), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u14553 = c_List_Olist_ONil(_u14554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14555), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14554)), _u14553))) | ( hAPP(c_List_Ohd(_u14554), hAPP(hAPP(c_List_Odrop(_u14554), _u14555), _u14553)) = hAPP(hAPP(c_List_Onth(_u14554), _u14553), _u14555)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14556), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14557)), _u14558))) | ( hAPP(hAPP(c_List_Olist__update(_u14557, _u14558), _u14556), _u14559) = hAPP(hAPP(c_List_Oappend(_u14557), hAPP(hAPP(c_List_Otake(_u14557), _u14556), _u14558)), hAPP(hAPP(c_List_Olist_OCons(_u14557), _u14559), hAPP(hAPP(c_List_Odrop(_u14557), hAPP(c_Nat_OSuc, _u14556)), _u14558)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u14560, _u14561)), hAPP(hAPP(c_List_Ozip(_u14560, _u14561), _u14562), _u14563)) = hAPP(c_Set_OCollect(tc_prod(_u14560, _u14561)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14560, _u14561)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u14560, _u14561), 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(_u14560, _u14561)), 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(_u14560, _u14561)), 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(_u14560, _u14561), tc_fun(tc_Nat_Onat, tc_prod(_u14560, _u14561)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14560, _u14561), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u14560, _u14561)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u14560, _u14561)), c_COMBB(tc_prod(_u14560, _u14561), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u14561, tc_prod(_u14560, _u14561)), hAPP(hAPP(c_COMBB(_u14560, tc_fun(_u14561, tc_prod(_u14560, _u14561)), tc_Nat_Onat), c_Product__Type_OPair(_u14560, _u14561)), hAPP(c_List_Onth(_u14560), _u14562))), hAPP(c_List_Onth(_u14561), _u14563)))))), 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(_u14560)), _u14562)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14561)), _u14563))))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u14564, _u14565), hAPP(hAPP(c_List_Ozip(_u14564, _u14565), _u14566), _u14567)), _u14568), _u14569) = hAPP(hAPP(c_List_Ozip(_u14564, _u14565), hAPP(hAPP(c_List_Olist__update(_u14564, _u14566), _u14568), hAPP(c_Product__Type_Ofst(_u14564, _u14565), _u14569))), hAPP(hAPP(c_List_Olist__update(_u14565, _u14567), _u14568), hAPP(c_Product__Type_Osnd(_u14564, _u14565), _u14569)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14570, hAPP(hAPP(c_List_Olist_OCons(_u14570), _u14571), _u14572)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14573) = hAPP(hAPP(c_List_Olist_OCons(_u14570), _u14573), _u14572)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14574, hAPP(hAPP(c_List_Olist_OCons(_u14574), _u14575), _u14576)), hAPP(c_Nat_OSuc, _u14577)), _u14578) = hAPP(hAPP(c_List_Olist_OCons(_u14574), _u14575), hAPP(hAPP(c_List_Olist__update(_u14574, _u14576), _u14577), _u14578))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u14579, _u14580)), _u14581), hAPP(hAPP(c_List_Ozip(_u14579, _u14580), _u14582), _u14583)) = hAPP(hAPP(c_List_Ozip(_u14579, _u14580), hAPP(hAPP(c_List_Otake(_u14579), _u14581), _u14582)), hAPP(hAPP(c_List_Otake(_u14580), _u14581), _u14583))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u14584, _u14585))), hAPP(hAPP(c_List_Ozip(_u14584, _u14585), _u14586), _u14587)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14584)), _u14586)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14585)), _u14587))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14588, _u14589), hAPP(hAPP(c_List_Olist__update(_u14588, _u14590), _u14591), _u14592)), hAPP(hAPP(c_List_Olist__update(_u14589, _u14593), _u14591), _u14594)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u14588, _u14589), hAPP(hAPP(c_List_Ozip(_u14588, _u14589), _u14590), _u14593)), _u14591), hAPP(hAPP(c_Product__Type_OPair(_u14588, _u14589), _u14592), _u14594))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14595, c_List_Olist_ONil(_u14595)), _u14596), _u14597) = c_List_Olist_ONil(_u14595)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14598, c_List_Olist_ONil(_u14598)), _u14599), _u14600) = c_List_Olist_ONil(_u14598)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14605, _u14607), _u14609), _u14611) != c_List_Olist_ONil(_u14605)) | ( _u14607 = c_List_Olist_ONil(_u14605)) )).
% 28.96/29.20 cnf(fact_list__update__nonempty-2, axiom, ( ( _u14608 != c_List_Olist_ONil(_u14606)) | ( hAPP(hAPP(c_List_Olist__update(_u14606, _u14608), _u14610), _u14612) = c_List_Olist_ONil(_u14606)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14613, _u14614), _u14615), c_List_Olist_ONil(_u14614)) = c_List_Olist_ONil(tc_prod(_u14613, _u14614))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14616, _u14617), c_List_Olist_ONil(_u14616)), _u14618) = c_List_Olist_ONil(tc_prod(_u14616, _u14617))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__swap-1, axiom, ( ( _u14619 = _u14620) | ( hAPP(hAPP(c_List_Olist__update(_u14621, hAPP(hAPP(c_List_Olist__update(_u14621, _u14622), _u14619), _u14623)), _u14620), _u14624) = hAPP(hAPP(c_List_Olist__update(_u14621, hAPP(hAPP(c_List_Olist__update(_u14621, _u14622), _u14620), _u14624)), _u14619), _u14623)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14625, hAPP(hAPP(c_List_Olist__update(_u14625, _u14626), _u14627), _u14628)), _u14627), _u14629) = hAPP(hAPP(c_List_Olist__update(_u14625, _u14626), _u14627), _u14629)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14630)), hAPP(hAPP(c_List_Olist__update(_u14630, _u14631), _u14632), _u14633)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14630)), _u14631)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14634)), _u14635) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14636)), _u14637)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14634)), _u14638) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14636)), _u14639)) | ( hAPP(hAPP(c_List_Ozip(_u14634, _u14636), hAPP(hAPP(c_List_Oappend(_u14634), _u14635), _u14638)), hAPP(hAPP(c_List_Oappend(_u14636), _u14637), _u14639)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u14634, _u14636)), hAPP(hAPP(c_List_Ozip(_u14634, _u14636), _u14635), _u14637)), hAPP(hAPP(c_List_Ozip(_u14634, _u14636), _u14638), _u14639))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14640, _u14641), _u14642), hAPP(hAPP(c_List_Onth(_u14640), _u14641), _u14642)) = _u14641) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u14643 = _u14644) | ( hAPP(hAPP(c_List_Onth(_u14645), hAPP(hAPP(c_List_Olist__update(_u14645, _u14646), _u14643), _u14647)), _u14644) = hAPP(hAPP(c_List_Onth(_u14645), _u14646), _u14644)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u14648, _u14649)), _u14650), hAPP(hAPP(c_List_Ozip(_u14648, _u14649), _u14651), _u14652)) = hAPP(hAPP(c_List_Ozip(_u14648, _u14649), hAPP(hAPP(c_List_Odrop(_u14648), _u14650), _u14651)), hAPP(hAPP(c_List_Odrop(_u14649), _u14650), _u14652))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 28.96/29.20 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(_u14653)), _u14654)), _u14655)) | ( hAPP(hAPP(c_List_Olist__update(_u14653, _u14654), _u14655), _u14656) = _u14654) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14657, tc_HOL_Obool)), hAPP(c_List_Oset(_u14657), _u14658)), _u14659)) | ~hBOOL(hAPP(hAPP(c_member(_u14657), _u14660), _u14659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14657, tc_HOL_Obool)), hAPP(c_List_Oset(_u14657), hAPP(hAPP(c_List_Olist__update(_u14657, _u14658), _u14661), _u14660))), _u14659)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14662, tc_HOL_Obool)), hAPP(c_List_Oset(_u14662), hAPP(hAPP(c_List_Olist__update(_u14662, _u14663), _u14664), _u14665))), hAPP(hAPP(c_Set_Oinsert(_u14662), _u14665), hAPP(c_List_Oset(_u14662), _u14663)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14666, _u14667), hAPP(hAPP(c_List_Olist_OCons(_u14666), _u14668), _u14669)), hAPP(hAPP(c_List_Olist_OCons(_u14667), _u14670), _u14671)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14666, _u14667)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14667), _u14668), _u14670)), hAPP(hAPP(c_List_Ozip(_u14666, _u14667), _u14669), _u14671))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14672), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14673)), _u14674))) | ( hAPP(hAPP(c_List_Olist__update(_u14673, hAPP(hAPP(c_List_Oappend(_u14673), _u14674), _u14675)), _u14672), _u14676) = hAPP(hAPP(c_List_Oappend(_u14673), hAPP(hAPP(c_List_Olist__update(_u14673, _u14674), _u14672), _u14676)), _u14675)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14677, hAPP(hAPP(c_List_Oappend(_u14677), _u14678), hAPP(hAPP(c_List_Olist_OCons(_u14677), _u14679), _u14680))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14677)), _u14678)), _u14681) = hAPP(hAPP(c_List_Oappend(_u14677), _u14678), hAPP(hAPP(c_List_Olist_OCons(_u14677), _u14681), _u14680))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14682), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14683)), _u14684))) | ( hAPP(hAPP(c_List_Onth(_u14683), hAPP(hAPP(c_List_Olist__update(_u14683, _u14684), _u14682), _u14685)), _u14682) = _u14685) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14686), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14687)), _u14688))) | ( hAPP(hAPP(c_List_Olist__update(_u14687, _u14688), _u14686), _u14689) != _u14688) | ( hAPP(hAPP(c_List_Onth(_u14687), _u14688), _u14686) = _u14689) )).
% 28.96/29.20 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14686), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14687)), _u14688))) | ( hAPP(hAPP(c_List_Onth(_u14687), _u14688), _u14686) != _u14689) | ( hAPP(hAPP(c_List_Olist__update(_u14687, _u14688), _u14686), _u14689) = _u14688) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14690), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14691)), _u14692))) | ( _u14690 != _u14693) | ( hAPP(hAPP(c_List_Onth(_u14691), hAPP(hAPP(c_List_Olist__update(_u14691, _u14692), _u14690), _u14694)), _u14693) = _u14694) )).
% 28.96/29.20 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14690), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14691)), _u14692))) | ( _u14690 = _u14693) | ( hAPP(hAPP(c_List_Onth(_u14691), hAPP(hAPP(c_List_Olist__update(_u14691, _u14692), _u14690), _u14694)), _u14693) = hAPP(hAPP(c_List_Onth(_u14691), _u14692), _u14693)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u14695, hAPP(hAPP(c_List_Olist_OCons(_u14695), _u14696), _u14697)), _u14698), _u14699) = c_Nat_Onat_Onat__case(tc_List_Olist(_u14695), hAPP(hAPP(c_List_Olist_OCons(_u14695), _u14699), _u14697), hAPP(hAPP(c_COMBB(tc_List_Olist(_u14695), tc_List_Olist(_u14695), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u14695), _u14696)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u14695, tc_List_Olist(_u14695)), c_List_Olist__update(_u14695, _u14697)), _u14699)), _u14698)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14700, _u14701)), hAPP(hAPP(c_Product__Type_OPair(_u14700, _u14701), _u14702), _u14703)), hAPP(c_List_Oset(tc_prod(_u14700, _u14701)), hAPP(hAPP(c_List_Ozip(_u14700, _u14701), _u14704), _u14705)))) | hBOOL(hAPP(hAPP(c_member(_u14700), _u14702), hAPP(c_List_Oset(_u14700), _u14704))) )).
% 28.96/29.20 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14700, _u14701)), hAPP(hAPP(c_Product__Type_OPair(_u14700, _u14701), _u14702), _u14703)), hAPP(c_List_Oset(tc_prod(_u14700, _u14701)), hAPP(hAPP(c_List_Ozip(_u14700, _u14701), _u14704), _u14705)))) | hBOOL(hAPP(hAPP(c_member(_u14701), _u14703), hAPP(c_List_Oset(_u14701), _u14705))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14707), _u14709), hAPP(c_List_Oset(_u14707), _u14711))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14707)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14707), _u14708), _u14709)), hAPP(c_List_Oset(tc_prod(_u14706, _u14707)), hAPP(hAPP(c_List_Ozip(_u14706, _u14707), _u14710), _u14711)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14712, _u14713)), hAPP(hAPP(c_Product__Type_OPair(_u14712, _u14713), _u14714), _u14715)), hAPP(c_List_Oset(tc_prod(_u14712, _u14713)), hAPP(hAPP(c_List_Ozip(_u14712, _u14713), _u14716), _u14717)))) | hBOOL(hAPP(hAPP(c_member(_u14712), _u14714), hAPP(c_List_Oset(_u14712), _u14716))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14722, _u14722)), hAPP(hAPP(c_Product__Type_OPair(_u14722, _u14722), _u14724), _u14726)), hAPP(c_List_Oset(tc_prod(_u14722, _u14722)), hAPP(hAPP(c_List_Ozip(_u14722, _u14722), _u14728), _u14728)))) | hBOOL(hAPP(hAPP(c_member(_u14722), _u14724), hAPP(c_List_Oset(_u14722), _u14728))) )).
% 28.96/29.20 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14722, _u14722)), hAPP(hAPP(c_Product__Type_OPair(_u14722, _u14722), _u14724), _u14726)), hAPP(c_List_Oset(tc_prod(_u14722, _u14722)), hAPP(hAPP(c_List_Ozip(_u14722, _u14722), _u14728), _u14728)))) | ( _u14724 = _u14726) )).
% 28.96/29.20 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14723), _u14725), hAPP(c_List_Oset(_u14723), _u14729))) | ( _u14725 != _u14727) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14723, _u14723)), hAPP(hAPP(c_Product__Type_OPair(_u14723, _u14723), _u14725), _u14727)), hAPP(c_List_Oset(tc_prod(_u14723, _u14723)), hAPP(hAPP(c_List_Ozip(_u14723, _u14723), _u14729), _u14729)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14730), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14731)), _u14732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14730), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14733)), _u14734))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u14731, _u14733)), hAPP(hAPP(c_List_Ozip(_u14731, _u14733), _u14732), _u14734)), _u14730) = hAPP(hAPP(c_Product__Type_OPair(_u14731, _u14733), hAPP(hAPP(c_List_Onth(_u14731), _u14732), _u14730)), hAPP(hAPP(c_List_Onth(_u14733), _u14734), _u14730))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14735, _u14736), _u14737), hAPP(hAPP(c_List_Oappend(_u14736), _u14738), _u14739)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u14735, _u14736)), hAPP(hAPP(c_List_Ozip(_u14735, _u14736), hAPP(hAPP(c_List_Otake(_u14735), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14736)), _u14738)), _u14737)), _u14738)), hAPP(hAPP(c_List_Ozip(_u14735, _u14736), hAPP(hAPP(c_List_Odrop(_u14735), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14736)), _u14738)), _u14737)), _u14739))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14740, _u14741), hAPP(hAPP(c_List_Oappend(_u14740), _u14742), _u14743)), _u14744) = hAPP(hAPP(c_List_Oappend(tc_prod(_u14740, _u14741)), hAPP(hAPP(c_List_Ozip(_u14740, _u14741), _u14742), hAPP(hAPP(c_List_Otake(_u14741), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14740)), _u14742)), _u14744))), hAPP(hAPP(c_List_Ozip(_u14740, _u14741), _u14743), hAPP(hAPP(c_List_Odrop(_u14741), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14740)), _u14742)), _u14744)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14745), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14746)), _u14747))) | hBOOL(hAPP(hAPP(c_member(_u14746), _u14748), hAPP(c_List_Oset(_u14746), hAPP(hAPP(c_List_Olist__update(_u14746, _u14747), _u14745), _u14748)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14754), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14756)), _u14758))) | ( hAPP(hAPP(c_List_Olist__update(_u14756, hAPP(hAPP(c_List_Oappend(_u14756), _u14758), _u14760)), _u14754), _u14762) = hAPP(hAPP(c_List_Oappend(_u14756), hAPP(hAPP(c_List_Olist__update(_u14756, _u14758), _u14754), _u14762)), _u14760)) )).
% 28.96/29.20 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14757)), _u14759))) | ( hAPP(hAPP(c_List_Olist__update(_u14757, hAPP(hAPP(c_List_Oappend(_u14757), _u14759), _u14761)), _u14755), _u14763) = hAPP(hAPP(c_List_Oappend(_u14757), _u14759), hAPP(hAPP(c_List_Olist__update(_u14757, _u14761), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14757)), _u14759))), _u14763))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14772), tc_List_Olist(_u14772))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14772), tc_List_Olist(_u14772)), _u14774), _u14776)), c_List_Olistrel1(_u14772, _u14778))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14772, _u14772)), hAPP(hAPP(c_Product__Type_OPair(_u14772, _u14772), hAPP(hAPP(c_List_Onth(_u14772), _u14774), skolem340(_u14778, _u14776, _u14774, _u14772))), skolem339(_u14778, _u14776, _u14774, _u14772))), _u14778)) )).
% 28.96/29.20 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14772), tc_List_Olist(_u14772))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14772), tc_List_Olist(_u14772)), _u14774), _u14776)), c_List_Olistrel1(_u14772, _u14778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem340(_u14778, _u14776, _u14774, _u14772)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14772)), _u14774))) )).
% 28.96/29.20 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14772), tc_List_Olist(_u14772))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14772), tc_List_Olist(_u14772)), _u14774), _u14776)), c_List_Olistrel1(_u14772, _u14778))) | ( _u14776 = hAPP(hAPP(c_List_Olist__update(_u14772, _u14774), skolem340(_u14778, _u14776, _u14774, _u14772)), skolem339(_u14778, _u14776, _u14774, _u14772))) )).
% 28.96/29.20 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), hAPP(hAPP(c_List_Onth(_u14773), _u14775), _u14766)), _u14767)), _u14779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14766), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14773)), _u14775))) | ( _u14777 != hAPP(hAPP(c_List_Olist__update(_u14773, _u14775), _u14766), _u14767)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14773), tc_List_Olist(_u14773))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14773), tc_List_Olist(_u14773)), _u14775), _u14777)), c_List_Olistrel1(_u14773, _u14779))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14786), tc_List_Olist(_u14786))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14786), tc_List_Olist(_u14786)), _u14788), _u14790)), c_List_Olistrel(_u14786, _u14792))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14786)), _u14788) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14786)), _u14790)) )).
% 28.96/29.20 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14786), tc_List_Olist(_u14786))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14786), tc_List_Olist(_u14786)), _u14788), _u14790)), c_List_Olistrel(_u14786, _u14792))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), _u14780), hAPP(c_List_Oset(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_List_Ozip(_u14786, _u14786), _u14788), _u14790)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14786, _u14786, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14786, tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_fun(_u14786, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14786, tc_fun(tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_fun(_u14786, tc_HOL_Obool)), _u14786), c_COMBC(_u14786, tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14786, tc_prod(_u14786, _u14786)), tc_fun(_u14786, tc_fun(tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_HOL_Obool)), _u14786), hAPP(c_COMBB(tc_prod(_u14786, _u14786), tc_fun(tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_HOL_Obool), _u14786), c_member(tc_prod(_u14786, _u14786)))), c_Product__Type_OPair(_u14786, _u14786)))), _u14792)), _u14780)) )).
% 28.96/29.20 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14787), tc_List_Olist(_u14787))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14787), tc_List_Olist(_u14787)), _u14789), _u14791)), c_List_Olistrel(_u14787, _u14793))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14787)), _u14789) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14787)), _u14791)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14787, _u14787)), skolem341(_u14793, _u14791, _u14789, _u14787)), hAPP(c_List_Oset(tc_prod(_u14787, _u14787)), hAPP(hAPP(c_List_Ozip(_u14787, _u14787), _u14789), _u14791)))) )).
% 28.96/29.20 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14787), tc_List_Olist(_u14787))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14787), tc_List_Olist(_u14787)), _u14789), _u14791)), c_List_Olistrel(_u14787, _u14793))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14787)), _u14789) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14787)), _u14791)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14787, _u14787, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14787, tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_fun(_u14787, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_fun(tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_fun(_u14787, tc_HOL_Obool)), _u14787), c_COMBC(_u14787, tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_prod(_u14787, _u14787)), tc_fun(_u14787, tc_fun(tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_HOL_Obool)), _u14787), hAPP(c_COMBB(tc_prod(_u14787, _u14787), tc_fun(tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_HOL_Obool), _u14787), c_member(tc_prod(_u14787, _u14787)))), c_Product__Type_OPair(_u14787, _u14787)))), _u14793)), skolem341(_u14793, _u14791, _u14789, _u14787))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14795), _u14794), c_Orderings_Obot__class_Obot(tc_fun(_u14795, tc_HOL_Obool)))) | hBOOL(hAPP(_u14796, _u14794)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u14802, _u14804), _u14806)) | ~hBOOL(hAPP(hAPP(c_member(_u14802), _u14797), _u14806)) | hBOOL(hAPP(_u14804, _u14797)) )).
% 28.96/29.20 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u14803, _u14805), _u14807)) | hBOOL(hAPP(hAPP(c_member(_u14803), skolem342(_u14807, _u14805, _u14803)), _u14807)) )).
% 28.96/29.20 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u14803, _u14805), _u14807)) | ~hBOOL(hAPP(_u14805, skolem342(_u14807, _u14805, _u14803))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u14814, _u14816, _u14818, _u14820) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14814, _u14814)), _u14808), _u14818)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14814, _u14814, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14814, tc_fun(_u14814, _u14816), tc_fun(_u14814, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14816, tc_HOL_Obool), tc_fun(tc_fun(_u14814, _u14816), tc_fun(_u14814, tc_HOL_Obool)), _u14814), c_COMBB(_u14816, tc_HOL_Obool, _u14814)), hAPP(hAPP(c_COMBB(_u14816, tc_fun(_u14816, tc_HOL_Obool), _u14814), c_fequal), _u14820))), _u14820)), _u14808)) )).
% 28.96/29.20 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u14815, _u14817, _u14819, _u14821) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14815, _u14815)), skolem343(_u14821, _u14819, _u14817, _u14815)), _u14819)) )).
% 28.96/29.20 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u14815, _u14817, _u14819, _u14821) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14815, _u14815, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14815, tc_fun(_u14815, _u14817), tc_fun(_u14815, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14817, tc_HOL_Obool), tc_fun(tc_fun(_u14815, _u14817), tc_fun(_u14815, tc_HOL_Obool)), _u14815), c_COMBB(_u14817, tc_HOL_Obool, _u14815)), hAPP(hAPP(c_COMBB(_u14817, tc_fun(_u14817, tc_HOL_Obool), _u14815), c_fequal), _u14821))), _u14821)), skolem343(_u14821, _u14819, _u14817, _u14815))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u14827 != _u14829) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14831)), _u14827) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14831)), _u14829)) )).
% 28.96/29.20 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u14827 != _u14829) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), _u14822), hAPP(c_List_Oset(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_List_Ozip(_u14831, _u14831), _u14827), _u14829)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14831, _u14831, tc_HOL_Obool), c_fequal), _u14822)) )).
% 28.96/29.20 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u14828 = _u14830) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14828) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14830)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14832, _u14832)), skolem344(_u14832, _u14830, _u14828)), hAPP(c_List_Oset(tc_prod(_u14832, _u14832)), hAPP(hAPP(c_List_Ozip(_u14832, _u14832), _u14828), _u14830)))) )).
% 28.96/29.20 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u14828 = _u14830) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14828) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14830)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14832, _u14832, tc_HOL_Obool), c_fequal), skolem344(_u14832, _u14830, _u14828))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u14840, _u14842, _u14844) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14840, _u14840)), _u14833), _u14844)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14840, _u14840, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14840, tc_fun(_u14840, tc_HOL_Obool), tc_fun(_u14840, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14840, tc_HOL_Obool), tc_fun(_u14840, tc_HOL_Obool)), _u14840), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14840), c_fconj), hAPP(hAPP(c_COMBC(_u14840, tc_fun(_u14840, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14840)), _u14842)))), hAPP(hAPP(c_COMBC(_u14840, tc_fun(_u14840, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14840)), _u14842))), _u14833)) )).
% 28.96/29.20 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u14840, _u14842, _u14844) | ~hBOOL(hAPP(hAPP(c_member(_u14840), _u14834), _u14842)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14840, _u14840)), hAPP(hAPP(c_Product__Type_OPair(_u14840, _u14840), _u14834), _u14834)), _u14844)) )).
% 28.96/29.20 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u14841, _u14843, _u14845) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14841, _u14841)), skolem345(_u14845, _u14843, _u14841)), _u14845)) | hBOOL(hAPP(hAPP(c_member(_u14841), skolem346(_u14845, _u14843, _u14841)), _u14843)) )).
% 28.96/29.20 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u14841, _u14843, _u14845) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14841, _u14841)), skolem345(_u14845, _u14843, _u14841)), _u14845)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14841, _u14841)), hAPP(hAPP(c_Product__Type_OPair(_u14841, _u14841), skolem346(_u14845, _u14843, _u14841)), skolem346(_u14845, _u14843, _u14841))), _u14845)) )).
% 28.96/29.20 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u14841, _u14843, _u14845) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14841, _u14841, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14841, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool)), _u14841), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14841)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14841), c_fconj), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14841)), _u14843)))), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14841)), _u14843))), skolem345(_u14845, _u14843, _u14841))) | hBOOL(hAPP(hAPP(c_member(_u14841), skolem346(_u14845, _u14843, _u14841)), _u14843)) )).
% 28.96/29.20 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u14841, _u14843, _u14845) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14841, _u14841, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14841, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool)), _u14841), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14841)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14841), c_fconj), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14841)), _u14843)))), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14841)), _u14843))), skolem345(_u14845, _u14843, _u14841))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14841, _u14841)), hAPP(hAPP(c_Product__Type_OPair(_u14841, _u14841), skolem346(_u14845, _u14843, _u14841)), skolem346(_u14845, _u14843, _u14841))), _u14845)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14846, _u14847), hAPP(hAPP(c_List_Olist_OCons(_u14846), _u14848), _u14849)), _u14850) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u14846, _u14847)), _u14847, c_List_Olist_ONil(tc_prod(_u14846, _u14847)), hAPP(hAPP(c_COMBC(_u14847, tc_fun(tc_List_Olist(_u14847), tc_List_Olist(tc_prod(_u14846, _u14847))), tc_fun(tc_List_Olist(_u14847), tc_List_Olist(tc_prod(_u14846, _u14847)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u14846, _u14847)), tc_List_Olist(tc_prod(_u14846, _u14847))), tc_fun(tc_fun(tc_List_Olist(_u14847), tc_List_Olist(tc_prod(_u14846, _u14847))), tc_fun(tc_List_Olist(_u14847), tc_List_Olist(tc_prod(_u14846, _u14847)))), _u14847), c_COMBB(tc_List_Olist(tc_prod(_u14846, _u14847)), tc_List_Olist(tc_prod(_u14846, _u14847)), tc_List_Olist(_u14847))), hAPP(hAPP(c_COMBB(tc_prod(_u14846, _u14847), tc_fun(tc_List_Olist(tc_prod(_u14846, _u14847)), tc_List_Olist(tc_prod(_u14846, _u14847))), _u14847), c_List_Olist_OCons(tc_prod(_u14846, _u14847))), hAPP(c_Product__Type_OPair(_u14846, _u14847), _u14848)))), hAPP(c_List_Ozip(_u14846, _u14847), _u14849))), _u14850)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14851, _u14852), _u14853), hAPP(hAPP(c_List_Olist_OCons(_u14852), _u14854), _u14855)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u14851, _u14852)), _u14851, c_List_Olist_ONil(tc_prod(_u14851, _u14852)), hAPP(hAPP(c_COMBC(_u14851, tc_fun(tc_List_Olist(_u14851), tc_List_Olist(tc_prod(_u14851, _u14852))), tc_fun(tc_List_Olist(_u14851), tc_List_Olist(tc_prod(_u14851, _u14852)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u14851, _u14852)), tc_List_Olist(tc_prod(_u14851, _u14852))), tc_fun(tc_fun(tc_List_Olist(_u14851), tc_List_Olist(tc_prod(_u14851, _u14852))), tc_fun(tc_List_Olist(_u14851), tc_List_Olist(tc_prod(_u14851, _u14852)))), _u14851), c_COMBB(tc_List_Olist(tc_prod(_u14851, _u14852)), tc_List_Olist(tc_prod(_u14851, _u14852)), tc_List_Olist(_u14851))), hAPP(hAPP(c_COMBB(tc_prod(_u14851, _u14852), tc_fun(tc_List_Olist(tc_prod(_u14851, _u14852)), tc_List_Olist(tc_prod(_u14851, _u14852))), _u14851), c_List_Olist_OCons(tc_prod(_u14851, _u14852))), hAPP(hAPP(c_COMBC(_u14851, _u14852, tc_prod(_u14851, _u14852)), c_Product__Type_OPair(_u14851, _u14852)), _u14854)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14851), tc_List_Olist(_u14852), tc_List_Olist(tc_prod(_u14851, _u14852))), c_List_Ozip(_u14851, _u14852)), _u14855))), _u14853)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_triples__valid__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_triples__valid__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14858)), _u14857), _u14859)) | c_Hoare__Mirabelle_Otriple__valid(_u14858, _u14860, _u14857) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14858)), skolem347(_u14860, _u14859, _u14858)), _u14859)) )).
% 28.96/29.20 cnf(fact_triples__valid__Suc-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14858)), _u14857), _u14859)) | c_Hoare__Mirabelle_Otriple__valid(_u14858, _u14860, _u14857) | ~c_Hoare__Mirabelle_Otriple__valid(_u14858, hAPP(c_Nat_OSuc, _u14860), skolem347(_u14860, _u14859, _u14858)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u14861, _u14862, _u14863, _u14864), hAPP(hAPP(c_List_Olist_OCons(_u14862), _u14865), _u14866)) = hAPP(hAPP(_u14864, _u14865), _u14866)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u14867, _u14868, _u14869, _u14870), c_List_Olist_ONil(_u14868)) = _u14869) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hoare__valids__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hoare__valids__def-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14880, _u14882, _u14884) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14880)), _u14872), _u14884)) | c_Hoare__Mirabelle_Otriple__valid(_u14880, _u14873, _u14872) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14880)), skolem348(_u14884, _u14882, _u14880, _u14873)), _u14882)) )).
% 28.96/29.20 cnf(fact_hoare__valids__def-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14880, _u14882, _u14884) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14880)), _u14872), _u14884)) | c_Hoare__Mirabelle_Otriple__valid(_u14880, _u14873, _u14872) | ~c_Hoare__Mirabelle_Otriple__valid(_u14880, _u14873, skolem348(_u14884, _u14882, _u14880, _u14873)) )).
% 28.96/29.20 cnf(fact_hoare__valids__def-3, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14881, _u14883, _u14885) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14881)), _u14874), _u14883)) | c_Hoare__Mirabelle_Otriple__valid(_u14881, skolem349(_u14885, _u14883, _u14881), _u14874) )).
% 28.96/29.20 cnf(fact_hoare__valids__def-4, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14881, _u14883, _u14885) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14881)), skolem350(_u14885, _u14883, _u14881)), _u14885)) )).
% 28.96/29.20 cnf(fact_hoare__valids__def-5, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14881, _u14883, _u14885) | ~c_Hoare__Mirabelle_Otriple__valid(_u14881, skolem349(_u14885, _u14883, _u14881), skolem350(_u14885, _u14883, _u14881)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u14886), _u14887) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u14886), _u14886, c_List_Olist_ONil(_u14886), hAPP(hAPP(c_COMBB(tc_List_Olist(_u14886), tc_fun(tc_List_Olist(_u14886), tc_List_Olist(_u14886)), _u14886), hAPP(c_COMBC(tc_List_Olist(_u14886), tc_List_Olist(_u14886), tc_List_Olist(_u14886)), c_List_Oappend(_u14886))), hAPP(hAPP(c_COMBC(_u14886, tc_List_Olist(_u14886), tc_List_Olist(_u14886)), c_List_Olist_OCons(_u14886)), c_List_Olist_ONil(_u14886)))), _u14887)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u14888), hAPP(c_List_Orotate1(_u14888), _u14889)) = hAPP(c_List_Oset(_u14888), _u14889)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u14892), _u14894) != c_List_Olist_ONil(_u14892)) | ( _u14894 = c_List_Olist_ONil(_u14892)) )).
% 28.96/29.20 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u14895 != c_List_Olist_ONil(_u14893)) | ( hAPP(c_List_Orotate1(_u14893), _u14895) = c_List_Olist_ONil(_u14893)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14896)), hAPP(c_List_Orotate1(_u14896), _u14897)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14896)), _u14897)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u14898), c_List_Olist_ONil(_u14898)) = c_List_Olist_ONil(_u14898)) )).
% 28.96/29.20 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u14899), hAPP(hAPP(c_List_Olist_OCons(_u14899), _u14900), _u14901)) = hAPP(hAPP(c_List_Oappend(_u14899), _u14901), hAPP(hAPP(c_List_Olist_OCons(_u14899), _u14900), c_List_Olist_ONil(_u14899)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 28.96/29.20 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(_u14902)), _u14903)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u14902), _u14903) = _u14903) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u14904 = c_List_Olist_ONil(_u14905)) | ( hAPP(c_List_Orotate1(_u14905), _u14904) = hAPP(hAPP(c_List_Oappend(_u14905), hAPP(c_List_Otl(_u14905), _u14904)), hAPP(hAPP(c_List_Olist_OCons(_u14905), hAPP(c_List_Ohd(_u14905), _u14904)), c_List_Olist_ONil(_u14905)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14906), _u14907)) | hBOOL(hAPP(hAPP(c_member(_u14906), _u14908), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14906, tc_HOL_Obool)), hAPP(c_List_Oset(_u14906), _u14907)), hAPP(hAPP(c_Set_Oinsert(_u14906), hAPP(hAPP(c_List_Onth(_u14906), _u14907), _u14909)), c_Orderings_Obot__class_Obot(tc_fun(_u14906, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u14906), hAPP(hAPP(c_List_Olist__update(_u14906, _u14907), _u14909), _u14908))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14912), hAPP(c_List_Orotate1(_u14912), _u14914))) | hBOOL(hAPP(c_List_Odistinct(_u14912), _u14914)) )).
% 28.96/29.20 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14913), _u14915)) | hBOOL(hAPP(c_List_Odistinct(_u14913), hAPP(c_List_Orotate1(_u14913), _u14915))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14916), _u14917)) | hBOOL(hAPP(c_List_Odistinct(_u14916), hAPP(hAPP(c_List_Odrop(_u14916), _u14918), _u14917))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14919), _u14920), hAPP(c_List_Otl(_u14919), _u14921)) = hAPP(c_List_Otl(_u14919), hAPP(hAPP(c_List_Odrop(_u14919), _u14920), _u14921))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u14922), hAPP(hAPP(c_List_Odrop(_u14922), _u14923), _u14924)) = hAPP(hAPP(c_List_Odrop(_u14922), _u14923), hAPP(c_List_Otl(_u14922), _u14924))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u14925), hAPP(hAPP(c_List_Olist_OCons(_u14925), _u14926), _u14927)) = _u14927) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u14928), c_List_Olist_ONil(_u14928)) = c_List_Olist_ONil(_u14928)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u14929), c_List_Olist_ONil(_u14929))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14930), _u14931)) | hBOOL(hAPP(c_List_Odistinct(_u14930), hAPP(hAPP(c_List_Otake(_u14930), _u14932), _u14931))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14933), _u14934)) | hBOOL(hAPP(c_List_Odistinct(_u14933), hAPP(c_List_Otl(_u14933), _u14934))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14935), _u14936)) | hBOOL(hAPP(c_List_Odistinct(_u14935), c_List_Osublist(_u14935, _u14936, _u14937))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14938), _u14939)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14938, _u14940)), hAPP(hAPP(c_List_Ozip(_u14938, _u14940), _u14939), _u14941))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14942), _u14943)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14944, _u14942)), hAPP(hAPP(c_List_Ozip(_u14944, _u14942), _u14945), _u14943))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_tl__append2-1, axiom, ( ( _u14946 = c_List_Olist_ONil(_u14947)) | ( hAPP(c_List_Otl(_u14947), hAPP(hAPP(c_List_Oappend(_u14947), _u14946), _u14948)) = hAPP(hAPP(c_List_Oappend(_u14947), hAPP(c_List_Otl(_u14947), _u14946)), _u14948)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u14949), _u14950), hAPP(c_List_Otl(_u14949), _u14951)) = hAPP(c_List_Otl(_u14949), hAPP(hAPP(c_List_Otake(_u14949), hAPP(c_Nat_OSuc, _u14950)), _u14951))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u14952), hAPP(c_Nat_OSuc, _u14953)), _u14954) = hAPP(hAPP(c_List_Odrop(_u14952), _u14953), hAPP(c_List_Otl(_u14952), _u14954))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14958), hAPP(hAPP(c_List_Olist_OCons(_u14958), _u14960), _u14962))) | ~hBOOL(hAPP(hAPP(c_member(_u14958), _u14960), hAPP(c_List_Oset(_u14958), _u14962))) )).
% 28.96/29.20 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14958), hAPP(hAPP(c_List_Olist_OCons(_u14958), _u14960), _u14962))) | hBOOL(hAPP(c_List_Odistinct(_u14958), _u14962)) )).
% 28.96/29.20 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14959), _u14961), hAPP(c_List_Oset(_u14959), _u14963))) | ~hBOOL(hAPP(c_List_Odistinct(_u14959), _u14963)) | hBOOL(hAPP(c_List_Odistinct(_u14959), hAPP(hAPP(c_List_Olist_OCons(_u14959), _u14961), _u14963))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u14964), hAPP(c_List_Oset(_u14964), _u14965)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14964)), _u14965)) | hBOOL(hAPP(c_List_Odistinct(_u14964), _u14965)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14966), _u14967)) | ( hAPP(c_Finite__Set_Ocard(_u14966), hAPP(c_List_Oset(_u14966), _u14967)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14966)), _u14967)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14974), _u14976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14969), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14976))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14968), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14976))) | ( _u14969 = _u14968) | ( hAPP(hAPP(c_List_Onth(_u14974), _u14976), _u14969) != hAPP(hAPP(c_List_Onth(_u14974), _u14976), _u14968)) )).
% 28.96/29.20 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u14975), _u14977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem351(_u14977, _u14975)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14975)), _u14977))) )).
% 28.96/29.20 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u14975), _u14977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem352(_u14977, _u14975)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14975)), _u14977))) )).
% 28.96/29.20 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u14975), _u14977)) | ( skolem351(_u14977, _u14975) != skolem352(_u14977, _u14975)) )).
% 28.96/29.20 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u14975), _u14977)) | ( hAPP(hAPP(c_List_Onth(_u14975), _u14977), skolem351(_u14977, _u14975)) = hAPP(hAPP(c_List_Onth(_u14975), _u14977), skolem352(_u14977, _u14975))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14978), _u14979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14980), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14978)), _u14979))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14981), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14978)), _u14979))) | ( hAPP(hAPP(c_List_Onth(_u14978), _u14979), _u14980) != hAPP(hAPP(c_List_Onth(_u14978), _u14979), _u14981)) | ( _u14980 = _u14981) )).
% 28.96/29.20 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14978), _u14979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14980), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14978)), _u14979))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14981), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14978)), _u14979))) | ( _u14980 != _u14981) | ( hAPP(hAPP(c_List_Onth(_u14978), _u14979), _u14980) = hAPP(hAPP(c_List_Onth(_u14978), _u14979), _u14981)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u14982), hAPP(hAPP(c_List_Oappend(_u14982), _u14983), _u14984)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u14982), _u14982, hAPP(c_List_Otl(_u14982), _u14984), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u14982), tc_List_Olist(_u14982)), _u14982), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14982), tc_List_Olist(_u14982), tc_List_Olist(_u14982)), c_List_Oappend(_u14982)), _u14984))), _u14983)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14988), hAPP(hAPP(c_List_Oappend(_u14988), _u14990), _u14992))) | hBOOL(hAPP(c_List_Odistinct(_u14988), _u14990)) )).
% 28.96/29.20 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14988), hAPP(hAPP(c_List_Oappend(_u14988), _u14990), _u14992))) | hBOOL(hAPP(c_List_Odistinct(_u14988), _u14992)) )).
% 28.96/29.20 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14988), hAPP(hAPP(c_List_Oappend(_u14988), _u14990), _u14992))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14988, tc_HOL_Obool)), hAPP(c_List_Oset(_u14988), _u14990)), hAPP(c_List_Oset(_u14988), _u14992)) = c_Orderings_Obot__class_Obot(tc_fun(_u14988, tc_HOL_Obool))) )).
% 28.96/29.20 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14989), _u14991)) | ~hBOOL(hAPP(c_List_Odistinct(_u14989), _u14993)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14989, tc_HOL_Obool)), hAPP(c_List_Oset(_u14989), _u14991)), hAPP(c_List_Oset(_u14989), _u14993)) != c_Orderings_Obot__class_Obot(tc_fun(_u14989, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u14989), hAPP(hAPP(c_List_Oappend(_u14989), _u14991), _u14993))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14994)), hAPP(c_List_Otl(_u14994), _u14995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14994)), _u14995)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u14996), hAPP(hAPP(c_List_Otake(_u14996), _u14997), _u14998)) = hAPP(hAPP(c_List_Otake(_u14996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14997), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u14996), _u14998))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_take__Suc-1, axiom, ( ( _u14999 = c_List_Olist_ONil(_u15000)) | ( hAPP(hAPP(c_List_Otake(_u15000), hAPP(c_Nat_OSuc, _u15001)), _u14999) = hAPP(hAPP(c_List_Olist_OCons(_u15000), hAPP(c_List_Ohd(_u15000), _u14999)), hAPP(hAPP(c_List_Otake(_u15000), _u15001), hAPP(c_List_Otl(_u15000), _u14999)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u15002) | ( _u15003 = c_List_Olist_ONil(_u15002)) | ( hAPP(c_Finite__Set_Ofold1(_u15002, c_Groups_Otimes__class_Otimes(_u15002)), hAPP(c_List_Oset(_u15002), _u15003)) = hAPP(c_List_Ofoldl(_u15002, _u15002, c_Groups_Otimes__class_Otimes(_u15002), hAPP(c_List_Ohd(_u15002), _u15003)), hAPP(c_List_Otl(_u15002), _u15003))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u15004 = c_List_Olist_ONil(_u15005)) | ( hAPP(c_List_Ohd(_u15005), hAPP(c_List_Orotate(_u15005, _u15006), _u15004)) = hAPP(hAPP(c_List_Onth(_u15005), _u15004), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15006, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15005)), _u15004)))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15010), hAPP(c_List_Orotate(_u15010, _u15012), _u15014))) | hBOOL(hAPP(c_List_Odistinct(_u15010), _u15014)) )).
% 28.96/29.20 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15011), _u15015)) | hBOOL(hAPP(c_List_Odistinct(_u15011), hAPP(c_List_Orotate(_u15011, _u15013), _u15015))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 28.96/29.20 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), _u15020), _u15022) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15020 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20 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), _u15020), _u15022) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15016), hAPP(c_List_Oset(tc_Nat_Onat), _u15022))) | ( _u15016 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20 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), _u15021), _u15023) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15021 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem353(_u15023, _u15021)), hAPP(c_List_Oset(tc_Nat_Onat), _u15023))) )).
% 28.96/29.20 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), _u15021), _u15023) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15021 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem353(_u15023, _u15021) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u15024), hAPP(c_List_Orotate(_u15024, _u15025), _u15026)) = hAPP(c_List_Oset(_u15024), _u15026)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u15027) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15027), _u15028), hAPP(c_List_Ofoldl(_u15027, _u15027, c_Groups_Oplus__class_Oplus(_u15027), c_Groups_Ozero__class_Ozero(_u15027)), _u15029)) = hAPP(c_List_Ofoldl(_u15027, _u15027, c_Groups_Oplus__class_Oplus(_u15027), _u15028), _u15029)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u15030, _u15031), hAPP(c_List_Orotate(_u15030, _u15032), _u15033)) = hAPP(c_List_Orotate(_u15030, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15031), _u15032)), _u15033)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u15034) | ( hAPP(c_List_Ofoldl(_u15034, _u15034, c_Groups_Oplus__class_Oplus(_u15034), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15034), _u15035), _u15036)), _u15037) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15034), _u15035), hAPP(c_List_Ofoldl(_u15034, _u15034, c_Groups_Oplus__class_Oplus(_u15034), _u15036), _u15037))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u15038, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15039), _u15040)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u15038), tc_List_Olist(_u15038), tc_List_Olist(_u15038), c_List_Orotate(_u15038, _u15039)), c_List_Orotate(_u15038, _u15040))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u15041, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u15041))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15042), _u15043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15042), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15043), _u15044))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u15045, _u15046, _u15047, _u15048), c_List_Olist_ONil(_u15046)) = _u15048) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u15052, _u15054), _u15056) != c_List_Olist_ONil(_u15052)) | ( _u15056 = c_List_Olist_ONil(_u15052)) )).
% 28.96/29.20 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u15057 != c_List_Olist_ONil(_u15053)) | ( hAPP(c_List_Orotate(_u15053, _u15055), _u15057) = c_List_Olist_ONil(_u15053)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15058)), hAPP(c_List_Orotate(_u15058, _u15059), _u15060)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15058)), _u15060)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u15061, _u15062, _u15063, _u15064), hAPP(hAPP(c_List_Oappend(_u15062), _u15065), _u15066)) = hAPP(c_List_Ofoldl(_u15061, _u15062, _u15063, hAPP(c_List_Ofoldl(_u15061, _u15062, _u15063, _u15064), _u15065)), _u15066)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u15067, _u15068, _u15069, _u15070), hAPP(hAPP(c_List_Olist_OCons(_u15068), _u15071), _u15072)) = hAPP(c_List_Ofoldl(_u15067, _u15068, _u15069, hAPP(hAPP(_u15069, _u15070), _u15071)), _u15072)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u15073), hAPP(c_List_Orotate(_u15073, _u15074), _u15075)) = hAPP(c_List_Orotate(_u15073, _u15074), hAPP(c_List_Orotate1(_u15073), _u15075))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u15076, _u15077) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u15076), tc_List_Olist(_u15076)), _u15077), c_List_Orotate1(_u15076))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u15078, _u15079), _u15080) = hAPP(c_List_Orotate(_u15078, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15079, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15078)), _u15080))), _u15080)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u15081, hAPP(c_Nat_OSuc, _u15082)), _u15083) = hAPP(c_List_Orotate1(_u15081), hAPP(c_List_Orotate(_u15081, _u15082), _u15083))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15084, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15085)), _u15086)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u15085, _u15084), _u15086) = _u15086) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 28.96/29.20 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(_u15087)), _u15088)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u15087, _u15089), _u15088) = _u15088) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15090), hAPP(c_List_Oset(tc_Nat_Onat), _u15091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15090), 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)), _u15091))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u15092) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15092, hAPP(c_List_Oset(_u15092), hAPP(hAPP(c_List_Olist_OCons(_u15092), _u15093), _u15094))) = hAPP(c_List_Ofoldl(_u15092, _u15092, c_Lattices_Osemilattice__sup__class_Osup(_u15092), _u15093), _u15094)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u15095) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15095, hAPP(c_List_Oset(_u15095), hAPP(hAPP(c_List_Olist_OCons(_u15095), _u15096), _u15097))) = hAPP(c_List_Ofoldl(_u15095, _u15095, c_Lattices_Osemilattice__inf__class_Oinf(_u15095), _u15096), _u15097)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u15098) | ( c_Big__Operators_Olinorder__class_OMin(_u15098, hAPP(c_List_Oset(_u15098), hAPP(hAPP(c_List_Olist_OCons(_u15098), _u15099), _u15100))) = hAPP(c_List_Ofoldl(_u15098, _u15098, c_Orderings_Oord__class_Omin(_u15098), _u15099), _u15100)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u15101) | ( c_Big__Operators_Olinorder__class_OMax(_u15101, hAPP(c_List_Oset(_u15101), hAPP(hAPP(c_List_Olist_OCons(_u15101), _u15102), _u15103))) = hAPP(c_List_Ofoldl(_u15101, _u15101, c_Orderings_Oord__class_Omax(_u15101), _u15102), _u15103)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u15104) | ( c_Big__Operators_Olattice_OInf__fin(_u15104, c_Orderings_Oord__class_Omin(_u15104), hAPP(c_List_Oset(_u15104), hAPP(hAPP(c_List_Olist_OCons(_u15104), _u15105), _u15106))) = hAPP(c_List_Ofoldl(_u15104, _u15104, c_Orderings_Oord__class_Omin(_u15104), _u15105), _u15106)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u15107) | ( c_Big__Operators_Olattice_OSup__fin(_u15107, c_Orderings_Oord__class_Omax(_u15107), hAPP(c_List_Oset(_u15107), hAPP(hAPP(c_List_Olist_OCons(_u15107), _u15108), _u15109))) = hAPP(c_List_Ofoldl(_u15107, _u15107, c_Orderings_Oord__class_Omax(_u15107), _u15108), _u15109)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15110) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15111, _u15110), hAPP(c_List_Oset(_u15111), _u15112)), _u15113) = hAPP(c_List_Ofoldl(_u15110, _u15111, hAPP(c_COMBC(_u15111, _u15110, _u15110), hAPP(hAPP(c_COMBB(_u15110, tc_fun(_u15110, _u15110), _u15111), c_Lattices_Osemilattice__sup__class_Osup(_u15110)), _u15113)), c_Orderings_Obot__class_Obot(_u15110)), _u15112)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u15114, _u15115), _u15116) = hAPP(hAPP(c_List_Oappend(_u15114), hAPP(hAPP(c_List_Odrop(_u15114), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15115, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15114)), _u15116))), _u15116)), hAPP(hAPP(c_List_Otake(_u15114), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15115, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15114)), _u15116))), _u15116))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15117, _u15118) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15117), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15118), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_last__list__update-1, axiom, ( ( _u15119 = c_List_Olist_ONil(_u15120)) | ( _u15121 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15120)), _u15119)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u15120, hAPP(hAPP(c_List_Olist__update(_u15120, _u15119), _u15121), _u15122)) = _u15122) )).
% 28.96/29.20 cnf(fact_last__list__update-2, axiom, ( ( _u15119 = c_List_Olist_ONil(_u15120)) | ( _u15121 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15120)), _u15119)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u15120, hAPP(hAPP(c_List_Olist__update(_u15120, _u15119), _u15121), _u15122)) = c_List_Olast(_u15120, _u15119)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15123, _u15124))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15125), _u15126)) | ( c_List_Oupto(_u15126, _u15125) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15127, _u15128) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15127, _u15128))) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15129, _u15130)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15129, _u15130)) )).
% 28.96/29.20
% 28.96/29.20 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 28.96/29.20 cnf(fact_last_Osimps-1, axiom, ( ( _u15134 != c_List_Olist_ONil(_u15136)) | ( c_List_Olast(_u15136, hAPP(hAPP(c_List_Olist_OCons(_u15136), _u15138), _u15134)) = _u15138) )).
% 28.96/29.20 cnf(fact_last_Osimps-2, axiom, ( ( _u15135 = c_List_Olist_ONil(_u15137)) | ( c_List_Olast(_u15137, hAPP(hAPP(c_List_Olist_OCons(_u15137), _u15139), _u15135)) = c_List_Olast(_u15137, _u15135)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__ConsR-1, axiom, ( ( _u15140 = c_List_Olist_ONil(_u15141)) | ( c_List_Olast(_u15141, hAPP(hAPP(c_List_Olist_OCons(_u15141), _u15142), _u15140)) = c_List_Olast(_u15141, _u15140)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__ConsL-1, axiom, ( ( _u15143 != c_List_Olist_ONil(_u15144)) | ( c_List_Olast(_u15144, hAPP(hAPP(c_List_Olist_OCons(_u15144), _u15145), _u15143)) = _u15145) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__append ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__append-1, axiom, ( ( _u15149 != c_List_Olist_ONil(_u15151)) | ( c_List_Olast(_u15151, hAPP(hAPP(c_List_Oappend(_u15151), _u15153), _u15149)) = c_List_Olast(_u15151, _u15153)) )).
% 29.00/29.20 cnf(fact_last__append-2, axiom, ( ( _u15150 = c_List_Olist_ONil(_u15152)) | ( c_List_Olast(_u15152, hAPP(hAPP(c_List_Oappend(_u15152), _u15154), _u15150)) = c_List_Olast(_u15152, _u15150)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__appendR-1, axiom, ( ( _u15155 = c_List_Olist_ONil(_u15156)) | ( c_List_Olast(_u15156, hAPP(hAPP(c_List_Oappend(_u15156), _u15157), _u15155)) = c_List_Olast(_u15156, _u15155)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__appendL-1, axiom, ( ( _u15158 != c_List_Olist_ONil(_u15159)) | ( c_List_Olast(_u15159, hAPP(hAPP(c_List_Oappend(_u15159), _u15160), _u15158)) = c_List_Olast(_u15159, _u15160)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__in__set-1, axiom, ( ( _u15161 = c_List_Olist_ONil(_u15162)) | hBOOL(hAPP(hAPP(c_member(_u15162), c_List_Olast(_u15162, _u15161)), hAPP(c_List_Oset(_u15162), _u15161))) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u15163, hAPP(hAPP(c_List_Oappend(_u15163), _u15164), hAPP(hAPP(c_List_Olist_OCons(_u15163), _u15165), c_List_Olist_ONil(_u15163)))) = _u15165) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15166), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15167)), _u15168))) | ( c_List_Olast(_u15167, hAPP(hAPP(c_List_Odrop(_u15167), _u15166), _u15168)) = c_List_Olast(_u15167, _u15168)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15171), _u15173)) | ( c_List_Oupto(_u15171, _u15173) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15171), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15171), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15173))) )).
% 29.00/29.20 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15172), _u15174)) | ( c_List_Oupto(_u15172, _u15174) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15175), _u15176) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15175, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15176), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15177, _u15178) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15177), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15178))) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 29.00/29.20 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), _u15181)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15183))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15183)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15181)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15181)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15183)))) )).
% 29.00/29.20 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), _u15182)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15184))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15184)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_last__conv__nth-1, axiom, ( ( _u15185 = c_List_Olist_ONil(_u15186)) | ( c_List_Olast(_u15186, _u15185) = hAPP(hAPP(c_List_Onth(_u15186), _u15185), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15185)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 29.00/29.20 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), _u15187), _u15188))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15187), _u15188)) | ( c_List_Oupto(_u15187, _u15188) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15187), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15187), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15188))) )).
% 29.00/29.20 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), _u15187), _u15188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15187), _u15188)) | ( c_List_Oupto(_u15187, _u15188) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u15190) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15190)) )).
% 29.00/29.20 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15191)) | c_List_Onat__list(_u15191) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 29.00/29.20 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), _u15194), _u15195))) | hBOOL(hAPP(hAPP(_u15196, _u15194), _u15195)) | 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), skolem354(_u15196, _u15195, _u15194)), skolem355(_u15196, _u15195, _u15194)))) )).
% 29.00/29.20 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), _u15194), _u15195))) | hBOOL(hAPP(hAPP(_u15196, _u15194), _u15195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem354(_u15196, _u15195, _u15194)), skolem355(_u15196, _u15195, _u15194))) | hBOOL(hAPP(hAPP(_u15196, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem354(_u15196, _u15195, _u15194)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem355(_u15196, _u15195, _u15194))) )).
% 29.00/29.20 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), _u15194), _u15195))) | hBOOL(hAPP(hAPP(_u15196, _u15194), _u15195)) | ~hBOOL(hAPP(hAPP(_u15196, skolem354(_u15196, _u15195, _u15194)), skolem355(_u15196, _u15195, _u15194))) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15202)), c_List_Olexord(_u15199, _u15200))) | ( _u15201 = _u15202) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15202), _u15201)), c_List_Olexord(_u15199, _u15200))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15199, _u15199)), hAPP(hAPP(c_Product__Type_OPair(_u15199, _u15199), skolem356(_u15202, _u15201, _u15200, _u15199)), skolem357(_u15202, _u15201, _u15200, _u15199))), _u15200)) )).
% 29.00/29.20 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15202)), c_List_Olexord(_u15199, _u15200))) | ( _u15201 = _u15202) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15202), _u15201)), c_List_Olexord(_u15199, _u15200))) | ( skolem356(_u15202, _u15201, _u15200, _u15199) != skolem357(_u15202, _u15201, _u15200, _u15199)) )).
% 29.00/29.20 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15202)), c_List_Olexord(_u15199, _u15200))) | ( _u15201 = _u15202) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15202), _u15201)), c_List_Olexord(_u15199, _u15200))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15199, _u15199)), hAPP(hAPP(c_Product__Type_OPair(_u15199, _u15199), skolem357(_u15202, _u15201, _u15200, _u15199)), skolem356(_u15202, _u15201, _u15200, _u15199))), _u15200)) )).
% 29.00/29.20
% 29.00/29.20 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 29.00/29.20 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15210)), _u15212), c_List_Olists(_u15210, _u15214))) | ( _u15212 = c_List_Olist_ONil(_u15210)) | hBOOL(hAPP(hAPP(c_member(_u15210), skolem358(_u15214, _u15212, _u15210)), _u15214)) )).
% 29.00/29.20 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15210)), _u15212), c_List_Olists(_u15210, _u15214))) | ( _u15212 = c_List_Olist_ONil(_u15210)) | ( _u15212 = hAPP(hAPP(c_List_Olist_OCons(_u15210), skolem358(_u15214, _u15212, _u15210)), skolem359(_u15214, _u15212, _u15210))) )).
% 29.00/29.20 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15210)), _u15212), c_List_Olists(_u15210, _u15214))) | ( _u15212 = c_List_Olist_ONil(_u15210)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15210)), skolem359(_u15214, _u15212, _u15210)), c_List_Olists(_u15210, _u15214))) )).
% 29.00/29.20 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15211)), _u15213), c_List_Olists(_u15211, _u15215))) | ( _u15213 != c_List_Olist_ONil(_u15211)) )).
% 29.00/29.21 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15211)), _u15213), c_List_Olists(_u15211, _u15215))) | ~hBOOL(hAPP(hAPP(c_member(_u15211), _u15206), _u15215)) | ( _u15213 != hAPP(hAPP(c_List_Olist_OCons(_u15211), _u15206), _u15205)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15211)), _u15205), c_List_Olists(_u15211, _u15215))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15216) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15216), _u15217) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15216), hAPP(c_List_Onth(_u15216), _u15217)), 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(_u15216)), _u15217)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15218) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15218), c_List_Olist_ONil(_u15218)) = c_Groups_Ozero__class_Ozero(_u15218)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15219), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15220), _u15219)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15220))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15221) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15221), hAPP(hAPP(c_List_Olist_OCons(_u15221), _u15222), _u15223)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15221), _u15222), hAPP(c_List_Omonoid__add__class_Olistsum(_u15221), _u15223))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u15224) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15224), hAPP(hAPP(c_List_Oappend(_u15224), _u15225), _u15226)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15224), hAPP(c_List_Omonoid__add__class_Olistsum(_u15224), _u15225)), hAPP(c_List_Omonoid__add__class_Olistsum(_u15224), _u15226))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15230) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15227), hAPP(c_List_Oset(tc_Nat_Onat), _u15230))) | ( _u15227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15231) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem360(_u15231)), hAPP(c_List_Oset(tc_Nat_Onat), _u15231))) )).
% 29.00/29.21 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15231) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem360(_u15231) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15233))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15233), _u15232), _u15234)) = 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), _u15233)), _u15234)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15233), _u15232))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u15235) | ( c_List_Omonoid__add__class_Olistsum(_u15235) = c_List_Ofoldl(_u15235, _u15235, c_Groups_Oplus__class_Oplus(_u15235), c_Groups_Ozero__class_Ozero(_u15235))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15236) | ~hBOOL(hAPP(c_List_Odistinct(_u15236), _u15237)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15236), _u15237) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15236, _u15236), c_COMBI(_u15236)), hAPP(c_List_Oset(_u15236), _u15237))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15239, _u15241, _u15240)), c_List_Olist_Olist__size(_u15239, _u15242, _u15240))) | hBOOL(hAPP(hAPP(c_member(_u15239), skolem361(_u15242, _u15241, _u15240, _u15239)), hAPP(c_List_Oset(_u15239), _u15240))) )).
% 29.00/29.21 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15239, _u15241, _u15240)), c_List_Olist_Olist__size(_u15239, _u15242, _u15240))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15241, skolem361(_u15242, _u15241, _u15240, _u15239))), hAPP(_u15242, skolem361(_u15242, _u15241, _u15240, _u15239)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15243), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15244)), _u15245))) | ( c_List_Obutlast(_u15244, hAPP(hAPP(c_List_Otake(_u15244), _u15243), _u15245)) = hAPP(hAPP(c_List_Otake(_u15244), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15243), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15245)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u15246, c_List_Olist_ONil(_u15246)) = c_List_Olist_ONil(_u15246)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u15247), _u15248), c_List_Obutlast(_u15247, _u15249)) = c_List_Obutlast(_u15247, hAPP(hAPP(c_List_Odrop(_u15247), _u15248), _u15249))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u15250, hAPP(hAPP(c_List_Odrop(_u15250), _u15251), _u15252)) = hAPP(hAPP(c_List_Odrop(_u15250), _u15251), c_List_Obutlast(_u15250, _u15252))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15253), _u15254), hAPP(c_List_Oset(_u15253), c_List_Obutlast(_u15253, _u15255)))) | hBOOL(hAPP(hAPP(c_member(_u15253), _u15254), hAPP(c_List_Oset(_u15253), _u15255))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u15259 != c_List_Olist_ONil(_u15261)) | ( c_List_Obutlast(_u15261, hAPP(hAPP(c_List_Olist_OCons(_u15261), _u15263), _u15259)) = c_List_Olist_ONil(_u15261)) )).
% 29.00/29.21 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u15260 = c_List_Olist_ONil(_u15262)) | ( c_List_Obutlast(_u15262, hAPP(hAPP(c_List_Olist_OCons(_u15262), _u15264), _u15260)) = hAPP(hAPP(c_List_Olist_OCons(_u15262), _u15264), c_List_Obutlast(_u15262, _u15260))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_butlast__append-1, axiom, ( ( _u15268 != c_List_Olist_ONil(_u15270)) | ( c_List_Obutlast(_u15270, hAPP(hAPP(c_List_Oappend(_u15270), _u15272), _u15268)) = c_List_Obutlast(_u15270, _u15272)) )).
% 29.00/29.21 cnf(fact_butlast__append-2, axiom, ( ( _u15269 = c_List_Olist_ONil(_u15271)) | ( c_List_Obutlast(_u15271, hAPP(hAPP(c_List_Oappend(_u15271), _u15273), _u15269)) = hAPP(hAPP(c_List_Oappend(_u15271), _u15273), c_List_Obutlast(_u15271, _u15269))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__butlast-1, axiom, ( ( _u15274 = c_List_Olist_ONil(_u15275)) | ~hBOOL(hAPP(c_List_Odistinct(_u15275), _u15274)) | hBOOL(hAPP(c_List_Odistinct(_u15275), c_List_Obutlast(_u15275, _u15274))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15276), _u15277), hAPP(c_List_Oset(_u15276), c_List_Obutlast(_u15276, hAPP(hAPP(c_List_Oappend(_u15276), _u15278), _u15279))))) | ~hBOOL(hAPP(hAPP(c_member(_u15276), _u15277), hAPP(c_List_Oset(_u15276), c_List_Obutlast(_u15276, _u15278)))) )).
% 29.00/29.21 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15276), _u15277), hAPP(c_List_Oset(_u15276), c_List_Obutlast(_u15276, hAPP(hAPP(c_List_Oappend(_u15276), _u15278), _u15279))))) | ~hBOOL(hAPP(hAPP(c_member(_u15276), _u15277), hAPP(c_List_Oset(_u15276), c_List_Obutlast(_u15276, _u15279)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u15280, hAPP(hAPP(c_List_Oappend(_u15280), _u15281), hAPP(hAPP(c_List_Olist_OCons(_u15280), _u15282), c_List_Olist_ONil(_u15280)))) = _u15281) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15283), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15284)), _u15285))) | ( hAPP(hAPP(c_List_Otake(_u15284), _u15283), c_List_Obutlast(_u15284, _u15285)) = hAPP(hAPP(c_List_Otake(_u15284), _u15283), _u15285)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15286)), c_List_Obutlast(_u15286, _u15287)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15286)), _u15287)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u15288, _u15289) = hAPP(hAPP(c_List_Otake(_u15288), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15288)), _u15289)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15289)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_butlast__list__update-1, axiom, ( ( _u15294 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15298)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15296, hAPP(hAPP(c_List_Olist__update(_u15296, _u15298), _u15294), _u15300)) = c_List_Obutlast(_u15296, _u15298)) )).
% 29.00/29.21 cnf(fact_butlast__list__update-2, axiom, ( ( _u15295 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15297)), _u15299)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15297, hAPP(hAPP(c_List_Olist__update(_u15297, _u15299), _u15295), _u15301)) = hAPP(hAPP(c_List_Olist__update(_u15297, c_List_Obutlast(_u15297, _u15299)), _u15295), _u15301)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u15302 = c_List_Olist_ONil(_u15303)) | ( hAPP(hAPP(c_List_Oappend(_u15303), c_List_Obutlast(_u15303, _u15302)), hAPP(hAPP(c_List_Olist_OCons(_u15303), c_List_Olast(_u15303, _u15302)), c_List_Olist_ONil(_u15303))) = _u15302) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15308), _u15310), hAPP(hAPP(c_List_Olist_OCons(_u15308), _u15312), c_List_Olist_ONil(_u15308))) != _u15314) | ( _u15314 != c_List_Olist_ONil(_u15308)) )).
% 29.00/29.21 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15308), _u15310), hAPP(hAPP(c_List_Olist_OCons(_u15308), _u15312), c_List_Olist_ONil(_u15308))) != _u15314) | ( c_List_Obutlast(_u15308, _u15314) = _u15310) )).
% 29.00/29.21 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15308), _u15310), hAPP(hAPP(c_List_Olist_OCons(_u15308), _u15312), c_List_Olist_ONil(_u15308))) != _u15314) | ( c_List_Olast(_u15308, _u15314) = _u15312) )).
% 29.00/29.21 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u15315 = c_List_Olist_ONil(_u15309)) | ( c_List_Obutlast(_u15309, _u15315) != _u15311) | ( c_List_Olast(_u15309, _u15315) != _u15313) | ( hAPP(hAPP(c_List_Oappend(_u15309), _u15311), hAPP(hAPP(c_List_Olist_OCons(_u15309), _u15313), c_List_Olist_ONil(_u15309))) = _u15315) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_select__weigth__select-1, axiom, ( ( _u15316 = c_List_Olist_ONil(_u15317)) | ( c_Random_Oselect__weight(_u15317, hAPP(hAPP(c_List_Omap(_u15317, tc_prod(tc_Code__Numeral_Ocode__numeral, _u15317)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15317), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u15316)) = c_Random_Oselect(_u15317, _u15316)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15318) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15319, _u15318), hAPP(c_List_Oset(_u15319), _u15320)), _u15321) = hAPP(c_List_Ofoldl(_u15318, _u15319, hAPP(c_COMBC(_u15319, _u15318, _u15318), hAPP(hAPP(c_COMBB(_u15318, tc_fun(_u15318, _u15318), _u15319), c_Lattices_Osemilattice__inf__class_Oinf(_u15318)), _u15321)), c_Orderings_Otop__class_Otop(_u15318)), _u15320)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15322), _u15323), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15324, tc_fun(_u15322, tc_HOL_Obool)), _u15325), _u15326))) | hBOOL(hAPP(hAPP(c_member(_u15322), _u15323), hAPP(_u15326, _u15327))) | ~hBOOL(hAPP(hAPP(c_member(_u15324), _u15327), _u15325)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15328), _u15329), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15330, tc_fun(_u15328, tc_HOL_Obool)), _u15331), _u15332))) | ~hBOOL(hAPP(hAPP(c_member(_u15330), _u15333), _u15331)) | hBOOL(hAPP(hAPP(c_member(_u15328), _u15329), hAPP(_u15332, _u15333))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15334, tc_fun(_u15335, tc_HOL_Obool)), _u15336), _u15337), _u15338)) | ~hBOOL(hAPP(hAPP(c_member(_u15334), _u15339), _u15336)) | hBOOL(hAPP(hAPP(_u15337, _u15339), _u15338)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15340, tc_fun(_u15341, tc_HOL_Obool)), _u15342), _u15343), _u15344)) | hBOOL(hAPP(hAPP(_u15343, _u15345), _u15344)) | ~hBOOL(hAPP(hAPP(c_member(_u15340), _u15345), _u15342)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15346, tc_fun(_u15347, tc_fun(_u15348, tc_HOL_Obool))), _u15349), _u15350), _u15351), _u15352)) | ~hBOOL(hAPP(hAPP(c_member(_u15346), _u15353), _u15349)) | hBOOL(hAPP(hAPP(hAPP(_u15350, _u15353), _u15351), _u15352)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15354, tc_fun(_u15355, tc_fun(_u15356, tc_HOL_Obool))), _u15357), _u15358), _u15359), _u15360)) | hBOOL(hAPP(hAPP(hAPP(_u15358, _u15361), _u15359), _u15360)) | ~hBOOL(hAPP(hAPP(c_member(_u15354), _u15361), _u15357)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15363), _u15362), _u15364)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15365), hAPP(_u15366, _u15362))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15365), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15363, tc_fun(_u15365, tc_HOL_Obool)), _u15364), _u15366))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u15367, _u15368, _u15369, c_Orderings_Otop__class_Otop(tc_fun(_u15367, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u15367), tc_List_Olist(_u15368), hAPP(c_List_Omap(_u15367, _u15368), _u15369), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15367), tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u15370) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15370), hAPP(hAPP(c_List_Omap(_u15371, _u15370), hAPP(hAPP(c_COMBS(_u15371, _u15370, _u15370), hAPP(hAPP(c_COMBB(_u15370, tc_fun(_u15370, _u15370), _u15371), c_Groups_Ominus__class_Ominus(_u15370)), _u15372)), _u15373)), _u15374)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u15370), hAPP(c_List_Omonoid__add__class_Olistsum(_u15370), hAPP(hAPP(c_List_Omap(_u15371, _u15370), _u15372), _u15374))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15370), hAPP(hAPP(c_List_Omap(_u15371, _u15370), _u15373), _u15374)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u15375) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15375), hAPP(hAPP(c_List_Omap(_u15376, _u15375), hAPP(c_COMBK(_u15375, _u15376), c_Groups_Ozero__class_Ozero(_u15375))), _u15377)) = c_Groups_Ozero__class_Ozero(_u15375)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u15378) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15378), hAPP(hAPP(c_List_Omap(_u15379, _u15378), hAPP(hAPP(c_COMBB(_u15378, _u15378, _u15379), hAPP(c_Groups_Otimes__class_Otimes(_u15378), _u15380)), _u15381)), _u15382)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15378), _u15380), hAPP(c_List_Omonoid__add__class_Olistsum(_u15378), hAPP(hAPP(c_List_Omap(_u15379, _u15378), _u15381), _u15382)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u15383) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15383), hAPP(hAPP(c_List_Omap(_u15384, _u15383), hAPP(hAPP(c_COMBC(_u15384, _u15383, _u15383), hAPP(hAPP(c_COMBB(_u15383, tc_fun(_u15383, _u15383), _u15384), c_Groups_Otimes__class_Otimes(_u15383)), _u15385)), _u15386)), _u15387)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15383), hAPP(c_List_Omonoid__add__class_Olistsum(_u15383), hAPP(hAPP(c_List_Omap(_u15384, _u15383), _u15385), _u15387))), _u15386)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15388) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15388), hAPP(hAPP(c_List_Omap(_u15389, _u15388), hAPP(hAPP(c_COMBS(_u15389, _u15388, _u15388), hAPP(hAPP(c_COMBB(_u15388, tc_fun(_u15388, _u15388), _u15389), c_Groups_Oplus__class_Oplus(_u15388)), _u15390)), _u15391)), _u15392)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15388), hAPP(c_List_Omonoid__add__class_Olistsum(_u15388), hAPP(hAPP(c_List_Omap(_u15389, _u15388), _u15390), _u15392))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15388), hAPP(hAPP(c_List_Omap(_u15389, _u15388), _u15391), _u15392)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__update ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15393, _u15394), _u15395), hAPP(hAPP(c_List_Olist__update(_u15393, _u15396), _u15397), _u15398)) = hAPP(hAPP(c_List_Olist__update(_u15394, hAPP(hAPP(c_List_Omap(_u15393, _u15394), _u15395), _u15396)), _u15397), hAPP(_u15395, _u15398))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15399, _u15400), _u15401), _u15402) != hAPP(hAPP(c_List_Omap(_u15403, _u15400), _u15404), _u15405)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15399)), _u15402) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15403)), _u15405)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15406)), hAPP(hAPP(c_List_Omap(_u15407, _u15406), _u15408), _u15409)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15407)), _u15409)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15410, _u15411), _u15412), c_List_Obutlast(_u15410, _u15413)) = c_List_Obutlast(_u15411, hAPP(hAPP(c_List_Omap(_u15410, _u15411), _u15412), _u15413))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u15414, _u15415, _u15416, _u15417), hAPP(hAPP(c_List_Omap(_u15418, _u15415), _u15419), _u15420)) = hAPP(c_List_Ofoldl(_u15414, _u15418, hAPP(hAPP(c_COMBC(_u15414, tc_fun(_u15418, _u15415), tc_fun(_u15418, _u15414)), hAPP(hAPP(c_COMBB(tc_fun(_u15415, _u15414), tc_fun(tc_fun(_u15418, _u15415), tc_fun(_u15418, _u15414)), _u15414), c_COMBB(_u15415, _u15414, _u15418)), _u15416)), _u15419), _u15417), _u15420)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u15421, _u15421), c_COMBI(_u15421)) = c_Fun_Oid(tc_List_Olist(_u15421))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15422, _u15423), _u15424), hAPP(hAPP(c_List_Omap(_u15425, _u15422), _u15426), _u15427)) = hAPP(hAPP(c_List_Omap(_u15425, _u15423), hAPP(c_Fun_Ocomp(_u15422, _u15423, _u15425, _u15424), _u15426)), _u15427)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15428, _u15429), _u15430), hAPP(hAPP(c_List_Omap(_u15431, _u15428), _u15432), _u15433)) = hAPP(hAPP(c_List_Omap(_u15431, _u15429), hAPP(c_Fun_Ocomp(_u15428, _u15429, _u15431, _u15430), _u15432)), _u15433)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15441, _u15443), _u15445), _u15447) != hAPP(hAPP(c_List_Omap(_u15441, _u15443), _u15449), _u15447)) | ~hBOOL(hAPP(hAPP(c_member(_u15441), _u15434), hAPP(c_List_Oset(_u15441), _u15447))) | ( hAPP(_u15445, _u15434) = hAPP(_u15449, _u15434)) )).
% 29.00/29.21 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15442, _u15444), _u15446), _u15448) = hAPP(hAPP(c_List_Omap(_u15442, _u15444), _u15450), _u15448)) | hBOOL(hAPP(hAPP(c_member(_u15442), skolem362(_u15450, _u15448, _u15446, _u15444, _u15442)), hAPP(c_List_Oset(_u15442), _u15448))) )).
% 29.00/29.21 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15442, _u15444), _u15446), _u15448) = hAPP(hAPP(c_List_Omap(_u15442, _u15444), _u15450), _u15448)) | ( hAPP(_u15446, skolem362(_u15450, _u15448, _u15446, _u15444, _u15442)) != hAPP(_u15450, skolem362(_u15450, _u15448, _u15446, _u15444, _u15442))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u15451), hAPP(hAPP(c_List_Omap(_u15452, _u15451), _u15453), _u15454)) = hAPP(c_Set_Oimage(_u15452, _u15451, _u15453), hAPP(c_List_Oset(_u15452), _u15454))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15455, _u15456), _u15457), hAPP(c_List_Otl(_u15455), _u15458)) = hAPP(c_List_Otl(_u15456), hAPP(hAPP(c_List_Omap(_u15455, _u15456), _u15457), _u15458))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15459, _u15459), _u15460), _u15460) = hAPP(hAPP(c_List_Omap(_u15459, tc_prod(_u15459, _u15459)), hAPP(hAPP(c_COMBS(_u15459, _u15459, tc_prod(_u15459, _u15459)), c_Product__Type_OPair(_u15459, _u15459)), c_COMBI(_u15459))), _u15460)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15461, _u15462), hAPP(hAPP(c_List_Omap(_u15463, _u15461), _u15464), _u15465)), hAPP(hAPP(c_List_Omap(_u15466, _u15462), _u15467), _u15468)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15463, _u15466), tc_prod(_u15461, _u15462)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15463, _u15466, tc_prod(_u15461, _u15462)), hAPP(hAPP(c_COMBC(_u15463, tc_fun(_u15466, _u15462), tc_fun(_u15466, tc_prod(_u15461, _u15462))), hAPP(hAPP(c_COMBB(tc_fun(_u15462, tc_prod(_u15461, _u15462)), tc_fun(tc_fun(_u15466, _u15462), tc_fun(_u15466, tc_prod(_u15461, _u15462))), _u15463), c_COMBB(_u15462, tc_prod(_u15461, _u15462), _u15466)), hAPP(hAPP(c_COMBB(_u15461, tc_fun(_u15462, tc_prod(_u15461, _u15462)), _u15463), c_Product__Type_OPair(_u15461, _u15462)), _u15464))), _u15467))), hAPP(hAPP(c_List_Ozip(_u15463, _u15466), _u15465), _u15468))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15469, _u15470), hAPP(hAPP(c_List_Omap(_u15471, _u15469), _u15472), _u15473)), _u15474) = hAPP(hAPP(c_List_Omap(tc_prod(_u15471, _u15470), tc_prod(_u15469, _u15470)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15471, _u15470, tc_prod(_u15469, _u15470)), hAPP(hAPP(c_COMBB(_u15469, tc_fun(_u15470, tc_prod(_u15469, _u15470)), _u15471), c_Product__Type_OPair(_u15469, _u15470)), _u15472))), hAPP(hAPP(c_List_Ozip(_u15471, _u15470), _u15473), _u15474))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u15475, _u15476), _u15477), _u15478), hAPP(hAPP(c_List_Ozip(_u15475, _u15476), hAPP(hAPP(c_List_Omap(_u15479, _u15475), _u15480), _u15481)), _u15482)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15479, _u15476), _u15477), hAPP(c_Product__Type_Oprod_Oprod__case(_u15479, _u15476, _u15477), hAPP(hAPP(c_COMBB(tc_fun(_u15476, tc_prod(_u15475, _u15476)), tc_fun(_u15476, _u15477), _u15479), hAPP(c_COMBB(tc_prod(_u15475, _u15476), _u15477, _u15476), _u15478)), hAPP(hAPP(c_COMBB(_u15475, tc_fun(_u15476, tc_prod(_u15475, _u15476)), _u15479), c_Product__Type_OPair(_u15475, _u15476)), _u15480)))), hAPP(hAPP(c_List_Ozip(_u15479, _u15476), _u15481), _u15482))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u15483, _u15484), _u15485), _u15486), hAPP(hAPP(c_List_Ozip(_u15483, _u15484), _u15487), hAPP(hAPP(c_List_Omap(_u15488, _u15484), _u15489), _u15490))) = hAPP(hAPP(c_List_Omap(tc_prod(_u15483, _u15488), _u15485), hAPP(c_Product__Type_Oprod_Oprod__case(_u15483, _u15488, _u15485), hAPP(hAPP(c_COMBB(tc_fun(_u15488, tc_prod(_u15483, _u15484)), tc_fun(_u15488, _u15485), _u15483), hAPP(c_COMBB(tc_prod(_u15483, _u15484), _u15485, _u15488), _u15486)), hAPP(hAPP(c_COMBC(_u15483, tc_fun(_u15488, _u15484), tc_fun(_u15488, tc_prod(_u15483, _u15484))), hAPP(hAPP(c_COMBB(tc_fun(_u15484, tc_prod(_u15483, _u15484)), tc_fun(tc_fun(_u15488, _u15484), tc_fun(_u15488, tc_prod(_u15483, _u15484))), _u15483), c_COMBB(_u15484, tc_prod(_u15483, _u15484), _u15488)), c_Product__Type_OPair(_u15483, _u15484))), _u15489)))), hAPP(hAPP(c_List_Ozip(_u15483, _u15488), _u15487), _u15490))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15491, _u15492), _u15493), hAPP(hAPP(c_List_Omap(_u15494, _u15492), _u15495), _u15496)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15491, _u15494), tc_prod(_u15491, _u15492)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15491, _u15494, tc_prod(_u15491, _u15492)), hAPP(hAPP(c_COMBC(_u15491, tc_fun(_u15494, _u15492), tc_fun(_u15494, tc_prod(_u15491, _u15492))), hAPP(hAPP(c_COMBB(tc_fun(_u15492, tc_prod(_u15491, _u15492)), tc_fun(tc_fun(_u15494, _u15492), tc_fun(_u15494, tc_prod(_u15491, _u15492))), _u15491), c_COMBB(_u15492, tc_prod(_u15491, _u15492), _u15494)), c_Product__Type_OPair(_u15491, _u15492))), _u15495))), hAPP(hAPP(c_List_Ozip(_u15491, _u15494), _u15493), _u15496))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15503, tc_fun(_u15505, tc_fun(_u15507, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15503, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_fun(_u15505, tc_fun(_u15507, tc_HOL_Obool)), _u15503), hAPP(c_COMBC(_u15505, tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_fun(_u15507, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15507, tc_fun(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_fun(_u15507, tc_HOL_Obool)), _u15505), c_COMBC(_u15507, tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15507, tc_prod(_u15505, _u15507)), tc_fun(_u15507, tc_fun(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_HOL_Obool)), _u15505), hAPP(c_COMBB(tc_prod(_u15505, _u15507), tc_fun(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_HOL_Obool), _u15507), c_member(tc_prod(_u15505, _u15507)))), c_Product__Type_OPair(_u15505, _u15507))))), _u15509)), _u15511), _u15513)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15505, _u15507)), hAPP(hAPP(c_Product__Type_OPair(_u15505, _u15507), _u15511), _u15513)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15503, tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15503, tc_HOL_Obool))), _u15509))) )).
% 29.00/29.21 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15506, _u15508)), hAPP(hAPP(c_Product__Type_OPair(_u15506, _u15508), _u15512), _u15514)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15504, tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15504, tc_HOL_Obool))), _u15510))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15504, tc_fun(_u15506, tc_fun(_u15508, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15504, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_fun(_u15506, tc_fun(_u15508, tc_HOL_Obool)), _u15504), hAPP(c_COMBC(_u15506, tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_fun(_u15508, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15508, tc_fun(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_fun(_u15508, tc_HOL_Obool)), _u15506), c_COMBC(_u15508, tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15508, tc_prod(_u15506, _u15508)), tc_fun(_u15508, tc_fun(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_HOL_Obool)), _u15506), hAPP(c_COMBB(tc_prod(_u15506, _u15508), tc_fun(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_HOL_Obool), _u15508), c_member(tc_prod(_u15506, _u15508)))), c_Product__Type_OPair(_u15506, _u15508))))), _u15510)), _u15512), _u15514)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15522, tc_HOL_Obool)), _u15524), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15526, tc_fun(_u15522, tc_HOL_Obool)), _u15528), _u15530))) | ~hBOOL(hAPP(hAPP(c_member(_u15526), _u15515), _u15528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15522, tc_HOL_Obool)), _u15524), hAPP(_u15530, _u15515))) )).
% 29.00/29.21 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15523, tc_HOL_Obool)), _u15525), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15527, tc_fun(_u15523, tc_HOL_Obool)), _u15529), _u15531))) | hBOOL(hAPP(hAPP(c_member(_u15527), skolem363(_u15531, _u15529, _u15527, _u15525, _u15523)), _u15529)) )).
% 29.00/29.21 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15523, tc_HOL_Obool)), _u15525), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15527, tc_fun(_u15523, tc_HOL_Obool)), _u15529), _u15531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15523, tc_HOL_Obool)), _u15525), hAPP(_u15531, skolem363(_u15531, _u15529, _u15527, _u15525, _u15523)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15536, _u15534), _u15537), _u15538))) | ~hBOOL(hAPP(hAPP(c_member(_u15536), _u15532), _u15537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(_u15538, _u15532))) )).
% 29.00/29.21 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15536, _u15534), _u15537), _u15538))) | hBOOL(hAPP(hAPP(c_member(_u15536), skolem364(_u15538, _u15537, _u15536, _u15535, _u15534)), _u15537)) )).
% 29.00/29.21 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15536, _u15534), _u15537), _u15538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(_u15538, skolem364(_u15538, _u15537, _u15536, _u15535, _u15534)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15539), _u15540), _u15541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15542, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15539, tc_fun(_u15542, tc_HOL_Obool)), _u15541), _u15543)), hAPP(_u15543, _u15540))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15548, tc_fun(_u15550, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15548, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15550, tc_HOL_Obool), tc_fun(_u15550, tc_HOL_Obool), _u15548), hAPP(c_COMBC(_u15550, tc_fun(_u15550, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15550))), _u15552)), _u15554)) | hBOOL(hAPP(hAPP(c_member(_u15550), _u15554), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15548, tc_fun(_u15550, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15548, tc_HOL_Obool))), _u15552))) )).
% 29.00/29.21 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15551), _u15555), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15549, tc_fun(_u15551, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15549, tc_HOL_Obool))), _u15553))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15549, tc_fun(_u15551, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15549, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15551, tc_HOL_Obool), tc_fun(_u15551, tc_HOL_Obool), _u15549), hAPP(c_COMBC(_u15551, tc_fun(_u15551, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15551))), _u15553)), _u15555)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15562, tc_fun(_u15564, tc_HOL_Obool)), _u15566), _u15568) != c_Orderings_Otop__class_Otop(tc_fun(_u15564, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u15562), _u15556), _u15566)) | ( hAPP(_u15568, _u15556) = c_Orderings_Otop__class_Otop(tc_fun(_u15564, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15563, tc_fun(_u15565, tc_HOL_Obool)), _u15567), _u15569) = c_Orderings_Otop__class_Otop(tc_fun(_u15565, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u15563), skolem365(_u15569, _u15567, _u15565, _u15563)), _u15567)) )).
% 29.00/29.21 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15563, tc_fun(_u15565, tc_HOL_Obool)), _u15567), _u15569) = c_Orderings_Otop__class_Otop(tc_fun(_u15565, tc_HOL_Obool))) | ( hAPP(_u15569, skolem365(_u15569, _u15567, _u15565, _u15563)) != c_Orderings_Otop__class_Otop(tc_fun(_u15565, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u15576, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15578, tc_fun(_u15576, tc_HOL_Obool)), _u15580), _u15582)) | ~hBOOL(hAPP(hAPP(c_member(_u15578), _u15570), _u15580)) | ( hAPP(_u15582, _u15570) = c_Orderings_Otop__class_Otop(tc_fun(_u15576, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u15577, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15579, tc_fun(_u15577, tc_HOL_Obool)), _u15581), _u15583)) | hBOOL(hAPP(hAPP(c_member(_u15579), skolem366(_u15583, _u15581, _u15579, _u15577)), _u15581)) )).
% 29.00/29.21 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u15577, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15579, tc_fun(_u15577, tc_HOL_Obool)), _u15581), _u15583)) | ( hAPP(_u15583, skolem366(_u15583, _u15581, _u15579, _u15577)) != c_Orderings_Otop__class_Otop(tc_fun(_u15577, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15584, _u15585), _u15586), _u15587) != hAPP(hAPP(c_List_Omap(_u15584, _u15585), _u15586), _u15588)) | ~c_Fun_Oinj__on(_u15584, _u15585, _u15586, c_Orderings_Otop__class_Otop(tc_fun(_u15584, tc_HOL_Obool))) | ( _u15587 = _u15588) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u15589, _u15590, _u15591, c_Orderings_Otop__class_Otop(tc_fun(_u15589, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u15589, _u15590), _u15591), _u15592) != hAPP(hAPP(c_List_Omap(_u15589, _u15590), _u15591), _u15593)) | ( _u15592 = _u15593) )).
% 29.00/29.21 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u15589, _u15590, _u15591, c_Orderings_Otop__class_Otop(tc_fun(_u15589, tc_HOL_Obool))) | ( _u15592 != _u15593) | ( hAPP(hAPP(c_List_Omap(_u15589, _u15590), _u15591), _u15592) = hAPP(hAPP(c_List_Omap(_u15589, _u15590), _u15591), _u15593)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15594, tc_fun(_u15595, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u15594, tc_HOL_Obool))), _u15596) = c_Orderings_Otop__class_Otop(tc_fun(_u15595, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__constant-1, axiom, ( ( _u15601 != c_Orderings_Obot__class_Obot(tc_fun(_u15603, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15603, tc_fun(_u15605, tc_HOL_Obool)), _u15601), hAPP(c_COMBK(tc_fun(_u15605, tc_HOL_Obool), _u15603), _u15607)) = c_Orderings_Otop__class_Otop(tc_fun(_u15605, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_INT__constant-2, axiom, ( ( _u15602 = c_Orderings_Obot__class_Obot(tc_fun(_u15604, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15604, tc_fun(_u15606, tc_HOL_Obool)), _u15602), hAPP(c_COMBK(tc_fun(_u15606, tc_HOL_Obool), _u15604), _u15608)) = _u15608) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15609, tc_fun(_u15610, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15609, tc_HOL_Obool)), _u15611), _u15612)), _u15613) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15610, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15609, tc_fun(_u15610, tc_HOL_Obool)), _u15611), _u15613)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15609, tc_fun(_u15610, tc_HOL_Obool)), _u15612), _u15613))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15614), _u15615), _u15616)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15614, tc_fun(_u15617, tc_HOL_Obool)), _u15616), hAPP(hAPP(c_COMBB(tc_fun(_u15617, tc_HOL_Obool), tc_fun(_u15617, tc_HOL_Obool), _u15614), hAPP(c_Set_Oinsert(_u15617), _u15618)), _u15619)) = hAPP(hAPP(c_Set_Oinsert(_u15617), _u15618), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15614, tc_fun(_u15617, tc_HOL_Obool)), _u15616), _u15619))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u15620), _u15621), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15622, tc_fun(_u15620, tc_HOL_Obool)), _u15623), _u15624)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15622, tc_fun(_u15620, tc_HOL_Obool)), _u15623), hAPP(hAPP(c_COMBB(tc_fun(_u15620, tc_HOL_Obool), tc_fun(_u15620, tc_HOL_Obool), _u15622), hAPP(c_Set_Oinsert(_u15620), _u15621)), _u15624))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15625, tc_fun(_u15626, tc_HOL_Obool)), _u15627), hAPP(hAPP(c_COMBB(tc_fun(_u15626, tc_HOL_Obool), tc_fun(_u15626, tc_HOL_Obool), _u15625), hAPP(c_Set_Oinsert(_u15626), _u15628)), _u15629)) = hAPP(hAPP(c_Set_Oinsert(_u15626), _u15628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15625, tc_fun(_u15626, tc_HOL_Obool)), _u15627), _u15629))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15630) | ( _u15631 = c_Orderings_Obot__class_Obot(tc_fun(_u15632, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15632, _u15630), _u15631), hAPP(c_COMBK(_u15630, _u15632), _u15633)) = _u15633) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15634, tc_fun(_u15635, tc_HOL_Obool)), _u15636), hAPP(hAPP(c_COMBB(_u15637, tc_fun(_u15635, tc_HOL_Obool), _u15634), _u15638), _u15639)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15637, tc_fun(_u15635, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u15634, _u15637, _u15639), _u15636)), _u15638)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15640, tc_fun(_u15641, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u15642, _u15640, _u15643), _u15644)), _u15645) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15642, tc_fun(_u15641, tc_HOL_Obool)), _u15644), hAPP(hAPP(c_COMBB(_u15640, tc_fun(_u15641, tc_HOL_Obool), _u15642), _u15645), _u15643))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u15651 != c_Orderings_Obot__class_Obot(tc_fun(_u15653, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15655, tc_HOL_Obool)), _u15657), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15653, tc_fun(_u15655, tc_HOL_Obool)), _u15651), _u15659)) = _u15657) )).
% 29.00/29.21 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u15652 = c_Orderings_Obot__class_Obot(tc_fun(_u15654, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15656, tc_HOL_Obool)), _u15658), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15654, tc_fun(_u15656, tc_HOL_Obool)), _u15652), _u15660)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15654, tc_fun(_u15656, tc_HOL_Obool)), _u15652), hAPP(hAPP(c_COMBB(tc_fun(_u15656, tc_HOL_Obool), tc_fun(_u15656, tc_HOL_Obool), _u15654), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15656, tc_HOL_Obool)), _u15658)), _u15660))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u15666 != c_Orderings_Obot__class_Obot(tc_fun(_u15668, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15670, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15668, tc_fun(_u15670, tc_HOL_Obool)), _u15666), _u15672)), _u15674) = _u15674) )).
% 29.00/29.21 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u15667 = c_Orderings_Obot__class_Obot(tc_fun(_u15669, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15671, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15669, tc_fun(_u15671, tc_HOL_Obool)), _u15667), _u15673)), _u15675) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15669, tc_fun(_u15671, tc_HOL_Obool)), _u15667), hAPP(hAPP(c_COMBC(_u15669, tc_fun(_u15671, tc_HOL_Obool), tc_fun(_u15671, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15671, tc_HOL_Obool), tc_fun(tc_fun(_u15671, tc_HOL_Obool), tc_fun(_u15671, tc_HOL_Obool)), _u15669), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15671, tc_HOL_Obool))), _u15673)), _u15675))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15676, tc_fun(_u15677, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u15676), _u15678), _u15679)), _u15680) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15677, tc_HOL_Obool)), hAPP(_u15680, _u15678)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15676, tc_fun(_u15677, tc_HOL_Obool)), _u15679), _u15680))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15681, tc_fun(_u15682, tc_HOL_Obool)), _u15683), hAPP(hAPP(c_COMBS(_u15681, tc_fun(_u15682, tc_HOL_Obool), tc_fun(_u15682, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15682, tc_HOL_Obool), tc_fun(tc_fun(_u15682, tc_HOL_Obool), tc_fun(_u15682, tc_HOL_Obool)), _u15681), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15682, tc_HOL_Obool))), _u15684)), _u15685)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15682, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15681, tc_fun(_u15682, tc_HOL_Obool)), _u15683), _u15684)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15681, tc_fun(_u15682, tc_HOL_Obool)), _u15683), _u15685))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15686, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15687, tc_fun(_u15686, tc_HOL_Obool)), _u15688), _u15689)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15690, tc_fun(_u15686, tc_HOL_Obool)), _u15691), _u15692)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15687, tc_fun(_u15686, tc_HOL_Obool)), _u15688), hAPP(hAPP(c_COMBB(tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool)), tc_fun(_u15686, tc_HOL_Obool), _u15687), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15690, tc_fun(_u15686, tc_HOL_Obool)), _u15691)), hAPP(hAPP(c_COMBC(_u15687, tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool)), tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15686, tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool)), tc_fun(tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool)), tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool))), _u15687), c_COMBB(tc_fun(_u15686, tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool), _u15690)), hAPP(hAPP(c_COMBB(tc_fun(_u15686, tc_HOL_Obool), tc_fun(tc_fun(_u15686, tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool)), _u15687), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15686, tc_HOL_Obool))), _u15689))), _u15692)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15693, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15694, tc_fun(_u15693, tc_HOL_Obool)), _u15695), _u15696)), _u15697) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15694, tc_fun(_u15693, tc_HOL_Obool)), _u15695), hAPP(hAPP(c_COMBC(_u15694, tc_fun(_u15693, tc_HOL_Obool), tc_fun(_u15693, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15693, tc_HOL_Obool), tc_fun(tc_fun(_u15693, tc_HOL_Obool), tc_fun(_u15693, tc_HOL_Obool)), _u15694), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15693, tc_HOL_Obool))), _u15696)), _u15697))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15698, tc_HOL_Obool)), _u15699), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15700, tc_fun(_u15698, tc_HOL_Obool)), _u15701), _u15702)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15700, tc_fun(_u15698, tc_HOL_Obool)), _u15701), hAPP(hAPP(c_COMBB(tc_fun(_u15698, tc_HOL_Obool), tc_fun(_u15698, tc_HOL_Obool), _u15700), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15698, tc_HOL_Obool)), _u15699)), _u15702))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15703, tc_HOL_Obool)), _u15704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15705, tc_fun(_u15703, tc_HOL_Obool)), _u15706), _u15707)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15705, tc_fun(_u15703, tc_HOL_Obool)), _u15706), hAPP(hAPP(c_COMBB(tc_fun(_u15703, tc_HOL_Obool), tc_fun(_u15703, tc_HOL_Obool), _u15705), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15703, tc_HOL_Obool)), _u15704)), _u15707))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15708, tc_fun(_u15709, tc_HOL_Obool)), _u15710), hAPP(hAPP(c_COMBC(_u15708, tc_fun(_u15709, tc_HOL_Obool), tc_fun(_u15709, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15709, tc_HOL_Obool), tc_fun(tc_fun(_u15709, tc_HOL_Obool), tc_fun(_u15709, tc_HOL_Obool)), _u15708), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15709, tc_HOL_Obool))), _u15711)), _u15712)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15709, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15708, tc_fun(_u15709, tc_HOL_Obool)), _u15710), _u15711)), _u15712)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15713, tc_fun(_u15714, tc_HOL_Obool)), _u15715), hAPP(hAPP(c_COMBB(tc_fun(_u15714, tc_HOL_Obool), tc_fun(_u15714, tc_HOL_Obool), _u15713), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15714, tc_HOL_Obool)), _u15716)), _u15717)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15714, tc_HOL_Obool)), _u15716), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15713, tc_fun(_u15714, tc_HOL_Obool)), _u15715), _u15717))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u15718, _u15719, _u15720), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15721, tc_fun(_u15719, tc_HOL_Obool)), _u15722), _u15723)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15721, tc_fun(_u15718, tc_HOL_Obool)), _u15722), hAPP(hAPP(c_COMBB(tc_fun(_u15719, tc_HOL_Obool), tc_fun(_u15718, tc_HOL_Obool), _u15721), c_Set_Ovimage(_u15718, _u15719, _u15720)), _u15723))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15724, _u15724), c_COMBI(_u15724)), _u15725) = _u15725) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u15726), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15727, tc_fun(_u15726, tc_HOL_Obool)), _u15728), _u15729)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15727, tc_fun(tc_fun(_u15726, tc_HOL_Obool), tc_HOL_Obool)), _u15728), hAPP(hAPP(c_COMBB(tc_fun(_u15726, tc_HOL_Obool), tc_fun(tc_fun(_u15726, tc_HOL_Obool), tc_HOL_Obool), _u15727), c_Set_OPow(_u15726)), _u15729))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15730) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15731, _u15730), _u15732), hAPP(hAPP(c_COMBB(tc_fun(_u15733, _u15730), _u15730, _u15731), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15733, _u15730), _u15734)), _u15735)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15733, _u15730), _u15734), hAPP(hAPP(c_COMBB(tc_fun(_u15731, _u15730), _u15730, _u15733), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15731, _u15730), _u15732)), hAPP(c_COMBC(_u15731, _u15733, _u15730), _u15735)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15736) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15737, tc_fun(_u15738, _u15736)), _u15739), _u15740), _u15741) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15737, _u15736), _u15739), hAPP(hAPP(c_COMBC(_u15737, _u15738, _u15736), _u15740), _u15741))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15744) | ~class_Orderings_Olinorder(_u15744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15745, _u15744), _u15746), _u15747)), _u15748)) | hBOOL(hAPP(hAPP(c_member(_u15745), skolem367(_u15748, _u15747, _u15746, _u15745, _u15744)), _u15746)) )).
% 29.00/29.21 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15744) | ~class_Orderings_Olinorder(_u15744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15745, _u15744), _u15746), _u15747)), _u15748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(_u15747, skolem367(_u15748, _u15747, _u15746, _u15745, _u15744))), _u15748)) )).
% 29.00/29.21 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15744) | ~class_Orderings_Olinorder(_u15744) | ~hBOOL(hAPP(hAPP(c_member(_u15745), _u15743), _u15746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(_u15747, _u15743)), _u15748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15745, _u15744), _u15746), _u15747)), _u15748)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15749, tc_fun(_u15750, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15751, tc_fun(_u15749, tc_HOL_Obool)), _u15752), _u15753)), _u15754) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15751, tc_fun(_u15750, tc_HOL_Obool)), _u15752), hAPP(hAPP(c_COMBC(_u15751, tc_fun(_u15749, tc_fun(_u15750, tc_HOL_Obool)), tc_fun(_u15750, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15749, tc_HOL_Obool), tc_fun(tc_fun(_u15749, tc_fun(_u15750, tc_HOL_Obool)), tc_fun(_u15750, tc_HOL_Obool)), _u15751), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15749, tc_fun(_u15750, tc_HOL_Obool))), _u15753)), _u15754))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15755, tc_fun(_u15756, tc_HOL_Obool)), _u15757), hAPP(hAPP(c_COMBC(_u15755, tc_fun(_u15758, tc_fun(_u15756, tc_HOL_Obool)), tc_fun(_u15756, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15758, tc_HOL_Obool), tc_fun(tc_fun(_u15758, tc_fun(_u15756, tc_HOL_Obool)), tc_fun(_u15756, tc_HOL_Obool)), _u15755), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15758, tc_fun(_u15756, tc_HOL_Obool))), _u15759)), _u15760)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15758, tc_fun(_u15756, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15755, tc_fun(_u15758, tc_HOL_Obool)), _u15757), _u15759)), _u15760)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15768), _u15770), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15772, tc_fun(_u15768, tc_HOL_Obool)), _u15774), _u15776))) | ~hBOOL(hAPP(hAPP(c_member(_u15772), _u15761), _u15774)) | hBOOL(hAPP(hAPP(c_member(_u15768), _u15770), hAPP(_u15776, _u15761))) )).
% 29.00/29.21 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15769), _u15771), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15773, tc_fun(_u15769, tc_HOL_Obool)), _u15775), _u15777))) | hBOOL(hAPP(hAPP(c_member(_u15773), skolem368(_u15777, _u15775, _u15773, _u15771, _u15769)), _u15775)) )).
% 29.00/29.21 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15769), _u15771), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15773, tc_fun(_u15769, tc_HOL_Obool)), _u15775), _u15777))) | ~hBOOL(hAPP(hAPP(c_member(_u15769), _u15771), hAPP(_u15777, skolem368(_u15777, _u15775, _u15773, _u15771, _u15769)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15778), _u15779), _u15780)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15781, tc_HOL_Obool)), hAPP(_u15782, _u15779)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15778, tc_fun(_u15781, tc_HOL_Obool)), _u15780), _u15782)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15778, tc_fun(_u15781, tc_HOL_Obool)), _u15780), _u15782)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15783, tc_fun(_u15784, tc_HOL_Obool)), _u15785), hAPP(hAPP(c_COMBB(tc_fun(_u15784, tc_HOL_Obool), tc_fun(_u15784, tc_HOL_Obool), _u15783), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15784, tc_HOL_Obool)), _u15786)), _u15787)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15784, tc_HOL_Obool)), _u15786), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15783, tc_fun(_u15784, tc_HOL_Obool)), _u15785), _u15787))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15788, tc_HOL_Obool)), _u15789), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15790, tc_fun(_u15788, tc_HOL_Obool)), _u15791), _u15792)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15790, tc_fun(_u15788, tc_HOL_Obool)), _u15791), hAPP(hAPP(c_COMBB(tc_fun(_u15788, tc_HOL_Obool), tc_fun(_u15788, tc_HOL_Obool), _u15790), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15788, tc_HOL_Obool)), _u15789)), _u15792))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15793, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15794, _u15793, _u15795), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15796, tc_fun(_u15794, tc_HOL_Obool)), _u15797), _u15798))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15796, tc_fun(_u15793, tc_HOL_Obool)), _u15797), hAPP(hAPP(c_COMBB(tc_fun(_u15794, tc_HOL_Obool), tc_fun(_u15793, tc_HOL_Obool), _u15796), c_Relation_OImage(_u15794, _u15793, _u15795)), _u15798)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15799, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15800, tc_fun(_u15799, tc_HOL_Obool)), _u15801), _u15802)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15800, tc_fun(_u15799, tc_HOL_Obool)), _u15801), hAPP(hAPP(c_COMBB(tc_fun(_u15799, tc_HOL_Obool), tc_fun(_u15799, tc_HOL_Obool), _u15800), c_Groups_Ouminus__class_Ouminus(tc_fun(_u15799, tc_HOL_Obool))), _u15802))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15803, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15804, tc_fun(_u15803, tc_HOL_Obool)), _u15805), _u15806)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15804, tc_fun(_u15803, tc_HOL_Obool)), _u15805), hAPP(hAPP(c_COMBB(tc_fun(_u15803, tc_HOL_Obool), tc_fun(_u15803, tc_HOL_Obool), _u15804), c_Groups_Ouminus__class_Ouminus(tc_fun(_u15803, tc_HOL_Obool))), _u15806))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_take__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15807), _u15808), hAPP(hAPP(c_List_Omap(_u15809, _u15807), _u15810), _u15811)) = hAPP(hAPP(c_List_Omap(_u15809, _u15807), _u15810), hAPP(hAPP(c_List_Otake(_u15809), _u15808), _u15811))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15812, _u15813), _u15814), hAPP(hAPP(c_List_Oappend(_u15812), _u15815), _u15816)) = hAPP(hAPP(c_List_Oappend(_u15813), hAPP(hAPP(c_List_Omap(_u15812, _u15813), _u15814), _u15815)), hAPP(hAPP(c_List_Omap(_u15812, _u15813), _u15814), _u15816))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u15817), _u15818), hAPP(hAPP(c_List_Omap(_u15819, _u15817), _u15820), _u15821)) = hAPP(hAPP(c_List_Omap(_u15819, _u15817), _u15820), hAPP(hAPP(c_List_Odrop(_u15819), _u15818), _u15821))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u15822), hAPP(hAPP(c_COMBB(tc_fun(_u15823, tc_HOL_Obool), tc_HOL_Obool, _u15822), c_HOL_OAll(_u15823)), hAPP(hAPP(c_COMBB(tc_fun(_u15823, tc_HOL_Obool), tc_fun(_u15823, tc_HOL_Obool), _u15822), hAPP(c_COMBS(_u15823, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15823), c_fimplies), hAPP(hAPP(c_COMBC(_u15823, tc_fun(_u15823, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15823)), _u15824)))), _u15825))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15823, tc_fun(_u15822, tc_HOL_Obool)), _u15824), hAPP(hAPP(c_COMBB(tc_fun(_u15822, tc_HOL_Obool), tc_fun(_u15822, tc_HOL_Obool), _u15823), c_Set_OCollect(_u15822)), hAPP(c_COMBC(_u15822, _u15823, tc_HOL_Obool), _u15825)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15826, tc_HOL_Obool) = c_Set_OBall(_u15826)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u15827, _u15828), hAPP(hAPP(c_List_Omap(_u15829, _u15827), _u15830), _u15831)) = hAPP(hAPP(c_List_Omap(_u15829, _u15827), _u15830), hAPP(c_List_Orotate(_u15829, _u15828), _u15831))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15832, _u15833), _u15834), hAPP(hAPP(c_List_Olist_OCons(_u15832), _u15835), _u15836)) = hAPP(hAPP(c_List_Olist_OCons(_u15833), hAPP(_u15834, _u15835)), hAPP(hAPP(c_List_Omap(_u15832, _u15833), _u15834), _u15836))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u15847 = c_List_Olist_ONil(_u15843)) | ( c_List_Olist_ONil(_u15841) != hAPP(hAPP(c_List_Omap(_u15843, _u15841), _u15845), _u15847)) )).
% 29.00/29.21 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u15848 != c_List_Olist_ONil(_u15844)) | ( c_List_Olist_ONil(_u15842) = hAPP(hAPP(c_List_Omap(_u15844, _u15842), _u15846), _u15848)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15849, _u15850), _u15851), c_List_Olist_ONil(_u15849)) = c_List_Olist_ONil(_u15850)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15856, _u15858), _u15860), _u15862) != c_List_Olist_ONil(_u15858)) | ( _u15862 = c_List_Olist_ONil(_u15856)) )).
% 29.00/29.21 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u15863 != c_List_Olist_ONil(_u15857)) | ( hAPP(hAPP(c_List_Omap(_u15857, _u15859), _u15861), _u15863) = c_List_Olist_ONil(_u15859)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_hd__map-1, axiom, ( ( _u15864 = c_List_Olist_ONil(_u15865)) | ( hAPP(c_List_Ohd(_u15866), hAPP(hAPP(c_List_Omap(_u15865, _u15866), _u15867), _u15864)) = hAPP(_u15867, hAPP(c_List_Ohd(_u15865), _u15864))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_last__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_last__map-1, axiom, ( ( _u15868 = c_List_Olist_ONil(_u15869)) | ( c_List_Olast(_u15870, hAPP(hAPP(c_List_Omap(_u15869, _u15870), _u15871), _u15868)) = hAPP(_u15871, c_List_Olast(_u15869, _u15868))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u15872), tc_List_Olist(_u15873), tc_List_Olist(_u15874), hAPP(c_List_Omap(_u15872, _u15873), _u15875)), hAPP(c_List_Omap(_u15874, _u15872), _u15876)) = hAPP(c_List_Omap(_u15874, _u15873), hAPP(c_Fun_Ocomp(_u15872, _u15873, _u15874, _u15875), _u15876))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u15877), tc_List_Olist(_u15878), tc_List_Olist(_u15879), hAPP(c_List_Omap(_u15877, _u15878), _u15880)), hAPP(c_List_Omap(_u15879, _u15877), _u15881)) = hAPP(c_List_Omap(_u15879, _u15878), hAPP(c_Fun_Ocomp(_u15877, _u15878, _u15879, _u15880), _u15881))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u15882, _u15882), c_Fun_Oid(_u15882)) = c_Fun_Oid(tc_List_Olist(_u15882))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u15883, _u15884, _u15885, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15883, tc_HOL_Obool)), hAPP(c_List_Oset(_u15883), _u15886)), hAPP(c_List_Oset(_u15883), _u15887))) | ( hAPP(hAPP(c_List_Omap(_u15883, _u15884), _u15885), _u15886) != hAPP(hAPP(c_List_Omap(_u15883, _u15884), _u15885), _u15887)) | ( _u15886 = _u15887) )).
% 29.00/29.21 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u15883, _u15884, _u15885, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15883, tc_HOL_Obool)), hAPP(c_List_Oset(_u15883), _u15886)), hAPP(c_List_Oset(_u15883), _u15887))) | ( _u15886 != _u15887) | ( hAPP(hAPP(c_List_Omap(_u15883, _u15884), _u15885), _u15886) = hAPP(hAPP(c_List_Omap(_u15883, _u15884), _u15885), _u15887)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15888, _u15889), _u15890), _u15891) != hAPP(hAPP(c_List_Omap(_u15888, _u15889), _u15890), _u15892)) | ~c_Fun_Oinj__on(_u15888, _u15889, _u15890, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15888, tc_HOL_Obool)), hAPP(c_List_Oset(_u15888), _u15891)), hAPP(c_List_Oset(_u15888), _u15892))) | ( _u15891 = _u15892) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15893), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15894)), _u15895))) | ( hAPP(hAPP(c_List_Onth(_u15896), hAPP(hAPP(c_List_Omap(_u15894, _u15896), _u15897), _u15895)), _u15893) = hAPP(_u15897, hAPP(hAPP(c_List_Onth(_u15894), _u15895), _u15893))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15898), _u15899), hAPP(c_List_Oset(_u15898), _u15900))) | ( hAPP(hAPP(c_List_Omap(_u15898, _u15901), c_Fun_Ofun__upd(_u15898, _u15901, _u15902, _u15899, _u15903)), _u15900) = hAPP(hAPP(c_List_Omap(_u15898, _u15901), _u15902), _u15900)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15908), hAPP(hAPP(c_List_Omap(_u15910, _u15908), _u15912), _u15914))) | hBOOL(hAPP(c_List_Odistinct(_u15910), _u15914)) )).
% 29.00/29.21 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15908), hAPP(hAPP(c_List_Omap(_u15910, _u15908), _u15912), _u15914))) | c_Fun_Oinj__on(_u15910, _u15908, _u15912, hAPP(c_List_Oset(_u15910), _u15914)) )).
% 29.00/29.21 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15911), _u15915)) | ~c_Fun_Oinj__on(_u15911, _u15909, _u15913, hAPP(c_List_Oset(_u15911), _u15915)) | hBOOL(hAPP(c_List_Odistinct(_u15909), hAPP(hAPP(c_List_Omap(_u15911, _u15909), _u15913), _u15915))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u15916) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15916), hAPP(c_Groups_Oabs__class_Oabs(_u15916), hAPP(c_List_Omonoid__add__class_Olistsum(_u15916), _u15917))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15916), hAPP(hAPP(c_List_Omap(_u15916, _u15916), c_Groups_Oabs__class_Oabs(_u15916)), _u15917)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u15918) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u15918), hAPP(c_List_Omonoid__add__class_Olistsum(_u15918), hAPP(hAPP(c_List_Omap(_u15919, _u15918), _u15920), _u15921))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15918), hAPP(hAPP(c_List_Omap(_u15919, _u15918), hAPP(c_Fun_Ocomp(_u15918, _u15918, _u15919, c_Groups_Ouminus__class_Ouminus(_u15918)), _u15920)), _u15921))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15922) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15923, tc_HOL_Obool)), _u15924), _u15925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15922), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15923, _u15922), _u15925), _u15926)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15923, _u15922), _u15924), _u15926))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15927, tc_fun(_u15928, tc_HOL_Obool)), _u15929), _u15930) = hAPP(c_Set_OCollect(_u15928), hAPP(hAPP(c_COMBB(tc_fun(_u15927, tc_HOL_Obool), tc_HOL_Obool, _u15928), c_HOL_OAll(_u15927)), hAPP(hAPP(c_COMBB(tc_fun(_u15927, tc_HOL_Obool), tc_fun(_u15927, tc_HOL_Obool), _u15928), hAPP(c_COMBS(_u15927, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15927), c_fimplies), hAPP(hAPP(c_COMBC(_u15927, tc_fun(_u15927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15927)), _u15929)))), hAPP(hAPP(c_COMBC(_u15928, tc_fun(_u15927, tc_fun(_u15928, tc_HOL_Obool)), tc_fun(_u15927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15928, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u15927, tc_fun(_u15928, tc_HOL_Obool)), tc_fun(_u15927, tc_HOL_Obool)), _u15928), c_COMBB(tc_fun(_u15928, tc_HOL_Obool), tc_HOL_Obool, _u15927)), c_member(_u15928))), _u15930))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u15936 != c_Orderings_Obot__class_Obot(tc_fun(_u15938, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15938, tc_fun(_u15940, tc_HOL_Obool)), _u15936), hAPP(hAPP(c_COMBC(_u15938, tc_fun(_u15940, tc_HOL_Obool), tc_fun(_u15940, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15940, tc_HOL_Obool), tc_fun(tc_fun(_u15940, tc_HOL_Obool), tc_fun(_u15940, tc_HOL_Obool)), _u15938), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15940, tc_HOL_Obool))), _u15942)), _u15944)) = c_Orderings_Otop__class_Otop(tc_fun(_u15940, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u15937 = c_Orderings_Obot__class_Obot(tc_fun(_u15939, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15939, tc_fun(_u15941, tc_HOL_Obool)), _u15937), hAPP(hAPP(c_COMBC(_u15939, tc_fun(_u15941, tc_HOL_Obool), tc_fun(_u15941, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15941, tc_HOL_Obool), tc_fun(tc_fun(_u15941, tc_HOL_Obool), tc_fun(_u15941, tc_HOL_Obool)), _u15939), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15941, tc_HOL_Obool))), _u15943)), _u15945)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15941, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15939, tc_fun(_u15941, tc_HOL_Obool)), _u15937), _u15943)), _u15945)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u15951 != c_Orderings_Obot__class_Obot(tc_fun(_u15953, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15953, tc_fun(_u15955, tc_HOL_Obool)), _u15951), hAPP(hAPP(c_COMBB(tc_fun(_u15955, tc_HOL_Obool), tc_fun(_u15955, tc_HOL_Obool), _u15953), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15955, tc_HOL_Obool)), _u15957)), _u15959)) = c_Orderings_Otop__class_Otop(tc_fun(_u15955, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u15952 = c_Orderings_Obot__class_Obot(tc_fun(_u15954, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15954, tc_fun(_u15956, tc_HOL_Obool)), _u15952), hAPP(hAPP(c_COMBB(tc_fun(_u15956, tc_HOL_Obool), tc_fun(_u15956, tc_HOL_Obool), _u15954), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15956, tc_HOL_Obool)), _u15958)), _u15960)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15956, tc_HOL_Obool)), _u15958), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15954, tc_fun(_u15956, tc_HOL_Obool)), _u15952), _u15960))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u15966 != c_Orderings_Obot__class_Obot(tc_fun(_u15968, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15970, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15968, tc_fun(_u15970, tc_HOL_Obool)), _u15966), _u15972)), _u15974) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15970, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15970, tc_HOL_Obool))), _u15974)) )).
% 29.00/29.21 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u15967 = c_Orderings_Obot__class_Obot(tc_fun(_u15969, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15971, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15969, tc_fun(_u15971, tc_HOL_Obool)), _u15967), _u15973)), _u15975) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15969, tc_fun(_u15971, tc_HOL_Obool)), _u15967), hAPP(hAPP(c_COMBC(_u15969, tc_fun(_u15971, tc_HOL_Obool), tc_fun(_u15971, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15971, tc_HOL_Obool), tc_fun(tc_fun(_u15971, tc_HOL_Obool), tc_fun(_u15971, tc_HOL_Obool)), _u15969), c_Groups_Ominus__class_Ominus(tc_fun(_u15971, tc_HOL_Obool))), _u15973)), _u15975))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u15981 != c_Orderings_Obot__class_Obot(tc_fun(_u15983, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15983, tc_fun(_u15985, tc_HOL_Obool)), _u15981), hAPP(hAPP(c_COMBC(_u15983, tc_fun(_u15985, tc_HOL_Obool), tc_fun(_u15985, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15985, tc_HOL_Obool), tc_fun(tc_fun(_u15985, tc_HOL_Obool), tc_fun(_u15985, tc_HOL_Obool)), _u15983), c_Groups_Ominus__class_Ominus(tc_fun(_u15985, tc_HOL_Obool))), _u15987)), _u15989)) = c_Orderings_Otop__class_Otop(tc_fun(_u15985, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u15982 = c_Orderings_Obot__class_Obot(tc_fun(_u15984, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15984, tc_fun(_u15986, tc_HOL_Obool)), _u15982), hAPP(hAPP(c_COMBC(_u15984, tc_fun(_u15986, tc_HOL_Obool), tc_fun(_u15986, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15986, tc_HOL_Obool), tc_fun(tc_fun(_u15986, tc_HOL_Obool), tc_fun(_u15986, tc_HOL_Obool)), _u15984), c_Groups_Ominus__class_Ominus(tc_fun(_u15986, tc_HOL_Obool))), _u15988)), _u15990)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15986, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15984, tc_fun(_u15986, tc_HOL_Obool)), _u15982), _u15988)), _u15990)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u15994), tc_List_Olist(_u15996), hAPP(c_List_Omap(_u15994, _u15996), _u15998), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15994), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15994, _u15996, _u15998, c_Orderings_Otop__class_Otop(tc_fun(_u15994, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u15995, _u15997, _u15999, c_Orderings_Otop__class_Otop(tc_fun(_u15995, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u15995), tc_List_Olist(_u15997), hAPP(c_List_Omap(_u15995, _u15997), _u15999), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15995), tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u16000), tc_List_Olist(_u16001), hAPP(c_List_Omap(_u16000, _u16001), _u16002), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16000), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16000, _u16001, _u16002, c_Orderings_Otop__class_Otop(tc_fun(_u16000, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u16008 != c_Orderings_Obot__class_Obot(tc_fun(_u16010, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16012, tc_HOL_Obool)), _u16014), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16010, tc_fun(_u16012, tc_HOL_Obool)), _u16008), _u16016)) = _u16014) )).
% 29.00/29.21 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u16009 = c_Orderings_Obot__class_Obot(tc_fun(_u16011, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16013, tc_HOL_Obool)), _u16015), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16011, tc_fun(_u16013, tc_HOL_Obool)), _u16009), _u16017)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16011, tc_fun(_u16013, tc_HOL_Obool)), _u16009), hAPP(hAPP(c_COMBB(tc_fun(_u16013, tc_HOL_Obool), tc_fun(_u16013, tc_HOL_Obool), _u16011), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16013, tc_HOL_Obool)), _u16015)), _u16017))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u16018, _u16019, hAPP(hAPP(c_List_Omap(_u16020, _u16018), _u16021), _u16022)) = c_List_Olist_Olist__size(_u16020, hAPP(c_Fun_Ocomp(_u16018, tc_Nat_Onat, _u16020, _u16019), _u16021), _u16022)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16023) | ~hBOOL(hAPP(hAPP(c_member(_u16024), _u16025), _u16026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16023), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16024, _u16023), _u16026), _u16027)), hAPP(_u16027, _u16025))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16028) | ~hBOOL(hAPP(c_List_Odistinct(_u16029), _u16030)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16028), hAPP(hAPP(c_List_Omap(_u16029, _u16028), _u16031), _u16030)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u16029, _u16028), _u16031), hAPP(c_List_Oset(_u16029), _u16030))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 29.00/29.21 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))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u16037 != c_Orderings_Obot__class_Obot(tc_fun(_u16039, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16039, tc_fun(_u16041, tc_HOL_Obool)), _u16037), hAPP(hAPP(c_COMBB(tc_fun(_u16041, tc_HOL_Obool), tc_fun(_u16041, tc_HOL_Obool), _u16039), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16041, tc_HOL_Obool)), _u16043)), _u16045)) = c_Orderings_Otop__class_Otop(tc_fun(_u16041, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u16038 = c_Orderings_Obot__class_Obot(tc_fun(_u16040, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16040, tc_fun(_u16042, tc_HOL_Obool)), _u16038), hAPP(hAPP(c_COMBB(tc_fun(_u16042, tc_HOL_Obool), tc_fun(_u16042, tc_HOL_Obool), _u16040), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16042, tc_HOL_Obool)), _u16044)), _u16046)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16042, tc_HOL_Obool)), _u16044), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16040, tc_fun(_u16042, tc_HOL_Obool)), _u16038), _u16046))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u16047) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16047), hAPP(hAPP(c_List_Omap(_u16048, _u16047), hAPP(c_COMBK(_u16047, _u16048), _u16049)), _u16050)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16047), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u16047), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16048)), _u16050))), _u16049)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16051), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16052)), _u16053))) | ( hAPP(c_Random_Opick(_u16052, hAPP(hAPP(c_List_Omap(_u16052, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16052)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16052), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16053)), hAPP(c_Code__Numeral_Oof__nat, _u16051)) = hAPP(hAPP(c_List_Onth(_u16052), _u16053), _u16051)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16055), _u16056)) | ( c_Nitpick_Osetsum_H(_u16055, _u16054, _u16057, _u16056) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16054), hAPP(hAPP(c_List_Omap(_u16055, _u16054), _u16057), c_Hilbert__Choice_OEps(tc_List_Olist(_u16055), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16055), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16055)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16055), tc_fun(_u16055, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16055, tc_HOL_Obool), tc_fun(tc_fun(_u16055, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16055)), c_fequal), c_List_Oset(_u16055))), _u16056))), c_List_Odistinct(_u16055)))))) )).
% 29.00/29.21 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16054) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16055), _u16056)) | ( c_Nitpick_Osetsum_H(_u16055, _u16054, _u16057, _u16056) = c_Groups_Ozero__class_Ozero(_u16054)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16065, tc_fun(_u16067, tc_HOL_Obool)), _u16069), _u16071), _u16073)) | ~hBOOL(hAPP(hAPP(c_member(_u16065), _u16058), _u16069)) | hBOOL(hAPP(hAPP(_u16071, _u16058), _u16073)) )).
% 29.00/29.21 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16066, tc_fun(_u16068, tc_HOL_Obool)), _u16070), _u16072), _u16074)) | hBOOL(hAPP(hAPP(c_member(_u16066), skolem369(_u16074, _u16072, _u16070, _u16068, _u16066)), _u16070)) )).
% 29.00/29.21 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16066, tc_fun(_u16068, tc_HOL_Obool)), _u16070), _u16072), _u16074)) | ~hBOOL(hAPP(hAPP(_u16072, skolem369(_u16074, _u16072, _u16070, _u16068, _u16066)), _u16074)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16084, tc_fun(_u16086, tc_fun(_u16088, tc_HOL_Obool))), _u16090), _u16092), _u16094), _u16096)) | ~hBOOL(hAPP(hAPP(c_member(_u16084), _u16075), _u16090)) | hBOOL(hAPP(hAPP(hAPP(_u16092, _u16075), _u16094), _u16096)) )).
% 29.00/29.21 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16085, tc_fun(_u16087, tc_fun(_u16089, tc_HOL_Obool))), _u16091), _u16093), _u16095), _u16097)) | hBOOL(hAPP(hAPP(c_member(_u16085), skolem370(_u16097, _u16095, _u16093, _u16091, _u16089, _u16087, _u16085)), _u16091)) )).
% 29.00/29.21 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16085, tc_fun(_u16087, tc_fun(_u16089, tc_HOL_Obool))), _u16091), _u16093), _u16095), _u16097)) | ~hBOOL(hAPP(hAPP(hAPP(_u16093, skolem370(_u16097, _u16095, _u16093, _u16091, _u16089, _u16087, _u16085)), _u16095), _u16097)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u16099, _u16098)) | ( _u16100 != c_Hilbert__Choice_OEps(_u16101, _u16099)) | hBOOL(hAPP(_u16099, _u16100)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_someI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u16102, _u16103)) | hBOOL(hAPP(_u16102, c_Hilbert__Choice_OEps(_u16104, _u16102))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u16106, _u16105)) | hBOOL(hAPP(_u16106, c_Hilbert__Choice_OEps(_u16107, _u16106))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u16109, _u16108)) | hBOOL(hAPP(_u16109, c_Hilbert__Choice_OEps(_u16110, _u16109))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u16115, c_Hilbert__Choice_OEps(_u16117, _u16115))) | hBOOL(hAPP(_u16115, skolem371(_u16117, _u16115))) )).
% 29.00/29.21 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u16116, _u16112)) | hBOOL(hAPP(_u16116, c_Hilbert__Choice_OEps(_u16118, _u16116))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u16119, hAPP(hAPP(c_COMBC(_u16119, _u16119, tc_HOL_Obool), c_fequal), _u16120)) = _u16120) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u16121, hAPP(c_fequal, _u16122)) = _u16122) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 29.00/29.21 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, _u16123)), hAPP(c_Code__Numeral_Oof__nat, _u16124)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16123), _u16124))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u16127) != hAPP(c_Code__Numeral_Oof__nat, _u16129)) | ( _u16127 = _u16129) )).
% 29.00/29.21 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u16128 != _u16130) | ( hAPP(c_Code__Numeral_Oof__nat, _u16128) = hAPP(c_Code__Numeral_Oof__nat, _u16130)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 29.00/29.21 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)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 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))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 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))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 29.00/29.21 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, _u16133)), hAPP(c_Code__Numeral_Oof__nat, _u16135))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16133), _u16135)) )).
% 29.00/29.21 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16134), _u16136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16134)), hAPP(c_Code__Numeral_Oof__nat, _u16136))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16137), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16138), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u16137) != hAPP(c_Code__Numeral_Oof__nat, _u16138)) | ( _u16137 = _u16138) )).
% 29.00/29.21 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16137), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16138), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u16137 != _u16138) | ( hAPP(c_Code__Numeral_Oof__nat, _u16137) = hAPP(c_Code__Numeral_Oof__nat, _u16138)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16139)), _u16140) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16141)), _u16142)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16139, _u16141), _u16139), c_Product__Type_Ofst(_u16139, _u16141)), hAPP(hAPP(c_List_Ozip(_u16139, _u16141), _u16140), _u16142)) = _u16140) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16143)), _u16144) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16145)), _u16146)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16143, _u16145), _u16145), c_Product__Type_Osnd(_u16143, _u16145)), hAPP(hAPP(c_List_Ozip(_u16143, _u16145), _u16144), _u16146)) = _u16146) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 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)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16147, _u16148), hAPP(hAPP(c_List_Omap(tc_prod(_u16147, _u16148), _u16147), c_Product__Type_Ofst(_u16147, _u16148)), _u16149)), hAPP(hAPP(c_List_Omap(tc_prod(_u16147, _u16148), _u16148), c_Product__Type_Osnd(_u16147, _u16148)), _u16149)) = _u16149) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 29.00/29.21 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, _u16150)), hAPP(c_Code__Numeral_Oof__nat, _u16151)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16150), _u16151))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 29.00/29.21 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, _u16154)), hAPP(c_Code__Numeral_Oof__nat, _u16156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16154), _u16156)) )).
% 29.00/29.21 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16155), _u16157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16155)), hAPP(c_Code__Numeral_Oof__nat, _u16157))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u16158)), hAPP(c_Code__Numeral_Oof__nat, _u16159)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16158), _u16159))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u16160), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16161), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u16161)), _u16162)))) | hBOOL(hAPP(hAPP(c_member(_u16161), hAPP(c_Random_Opick(_u16161, _u16162), _u16160)), hAPP(c_List_Oset(_u16161), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16161), _u16161), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u16161)), _u16162)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16163)), _u16164) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16165)), _u16166)) | ( hAPP(hAPP(c_List_Ozip(_u16163, _u16165), _u16164), _u16166) != _u16167) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16163, _u16165), _u16163), c_Product__Type_Ofst(_u16163, _u16165)), _u16167) = _u16164) )).
% 29.00/29.21 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16163)), _u16164) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16165)), _u16166)) | ( hAPP(hAPP(c_List_Ozip(_u16163, _u16165), _u16164), _u16166) != _u16167) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16163, _u16165), _u16165), c_Product__Type_Osnd(_u16163, _u16165)), _u16167) = _u16166) )).
% 29.00/29.21 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16163)), _u16164) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16165)), _u16166)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16163, _u16165), _u16163), c_Product__Type_Ofst(_u16163, _u16165)), _u16167) != _u16164) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16163, _u16165), _u16165), c_Product__Type_Osnd(_u16163, _u16165)), _u16167) != _u16166) | ( hAPP(hAPP(c_List_Ozip(_u16163, _u16165), _u16164), _u16166) = _u16167) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u16168, _u16169, _u16170) = 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(_u16168, tc_Nat_Onat), _u16169), _u16170))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16168)), _u16170))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u16172 = 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)), _u16172)) )).
% 29.00/29.21 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)), _u16173)) | ( _u16173 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16174) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16174), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16174), _u16175), c_List_Oupto(_u16176, _u16177))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16174), _u16175), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16176, _u16177)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16178) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16178), _u16179), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16180, _u16181))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16178), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16178), _u16179), c_List_Oupto(_u16180, _u16181)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 29.00/29.21 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, _u16182), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u16182)), _u16183)))) | hBOOL(hAPP(hAPP(c_member(_u16182), hAPP(c_Product__Type_Ofst(_u16182, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u16182, _u16183), _u16184))), hAPP(c_List_Oset(_u16182), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16182), _u16182), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u16182)), _u16183)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16187), _u16189)) | ( c_Nitpick_Ocard_H(_u16187, _u16189) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16187)), c_Hilbert__Choice_OEps(tc_List_Olist(_u16187), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16187), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16187)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16187), tc_fun(_u16187, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16187, tc_HOL_Obool), tc_fun(tc_fun(_u16187, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16187)), c_fequal), c_List_Oset(_u16187))), _u16189))), c_List_Odistinct(_u16187))))) )).
% 29.00/29.21 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u16188), _u16190)) | ( c_Nitpick_Ocard_H(_u16188, _u16190) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u16191, _u16192) = 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(_u16191, 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, _u16191), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u16191)), _u16192)))), hAPP(hAPP(c_COMBB(_u16191, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u16191, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u16191, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u16191, _u16192)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u16193, _u16194, _u16195, _u16196), hAPP(hAPP(c_Product__Type_Oscomp(_u16193, _u16197, _u16198, tc_prod(_u16194, _u16195)), _u16199), _u16200)), _u16201) = hAPP(hAPP(c_Product__Type_Oscomp(_u16193, _u16197, _u16198, _u16196), _u16199), hAPP(hAPP(c_COMBC(_u16197, tc_fun(_u16194, tc_fun(_u16195, _u16196)), tc_fun(_u16198, _u16196)), hAPP(hAPP(c_COMBB(tc_fun(_u16198, tc_prod(_u16194, _u16195)), tc_fun(tc_fun(_u16194, tc_fun(_u16195, _u16196)), tc_fun(_u16198, _u16196)), _u16197), c_Product__Type_Oscomp(_u16198, _u16194, _u16195, _u16196)), _u16200)), _u16201))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u16202, _u16203, _u16204, _u16205), _u16206), _u16207), _u16208) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16203, _u16204, _u16205), _u16207), hAPP(_u16206, _u16208))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u16209, _u16210, _u16211, tc_prod(_u16210, _u16211)), _u16212), c_Product__Type_OPair(_u16210, _u16211)) = _u16212) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u16213, _u16214, _u16213, _u16215), hAPP(c_Product__Type_OPair(_u16214, _u16213), _u16216)), _u16217) = hAPP(_u16217, _u16216)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u16218, _u16219, _u16220, _u16221), _u16222), _u16223), _u16224) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16219, _u16220, _u16221), _u16223), hAPP(_u16222, _u16224))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u16225, _u16226), _u16227) = c_Hilbert__Choice_OEps(tc_prod(_u16225, _u16226), hAPP(c_Product__Type_Oprod_Oprod__case(_u16225, _u16226, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16226, tc_prod(_u16225, _u16226)), tc_fun(_u16226, tc_HOL_Obool), _u16225), hAPP(c_COMBB(tc_prod(_u16225, _u16226), tc_HOL_Obool, _u16226), _u16227)), c_Product__Type_OPair(_u16225, _u16226))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u16228, _u16229), hAPP(c_Product__Type_Oprod_Oprod__case(_u16228, _u16229, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16228, tc_fun(_u16229, tc_HOL_Obool), tc_fun(_u16229, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u16229, tc_HOL_Obool), tc_fun(_u16229, tc_HOL_Obool)), _u16228), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u16229)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16228), c_fconj), hAPP(c_fequal, _u16230)))), hAPP(c_fequal, _u16231)))) = hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16229), _u16230), _u16231)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u16232, _u16233, _u16234, _u16235), _u16236), _u16237), _u16238) = hAPP(hAPP(_u16237, hAPP(c_Product__Type_Ofst(_u16233, _u16234), hAPP(_u16236, _u16238))), hAPP(c_Product__Type_Osnd(_u16233, _u16234), hAPP(_u16236, _u16238)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u16239, _u16240), hAPP(c_Product__Type_Oprod_Oprod__case(_u16239, _u16240, tc_HOL_Obool), _u16241)) = c_Hilbert__Choice_OEps(tc_prod(_u16239, _u16240), hAPP(hAPP(c_COMBS(tc_prod(_u16239, _u16240), _u16240, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u16239, tc_fun(_u16240, tc_HOL_Obool), tc_prod(_u16239, _u16240)), _u16241), c_Product__Type_Ofst(_u16239, _u16240))), c_Product__Type_Osnd(_u16239, _u16240)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_iterate_Osimps-1, axiom, ( ( _u16247 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u16249, _u16251, _u16247, _u16253), _u16255) = hAPP(c_Product__Type_OPair(_u16249, _u16251), _u16255)) )).
% 29.00/29.21 cnf(fact_iterate_Osimps-2, axiom, ( ( _u16248 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u16250, _u16252, _u16248, _u16254), _u16256) = hAPP(hAPP(c_Product__Type_Oscomp(_u16252, _u16250, _u16252, tc_prod(_u16250, _u16252)), hAPP(_u16254, _u16256)), c_Random_Oiterate(_u16250, _u16252, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16248), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u16254))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_select__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u16257, _u16258) = 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(_u16257, 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(_u16257)), _u16258)))), hAPP(hAPP(c_COMBB(_u16257, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u16257, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u16257, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u16257, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u16257), _u16258)), c_Code__Numeral_Onat__of)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u16261) != hAPP(c_Code__Numeral_Onat__of, _u16263)) | ( _u16261 = _u16263) )).
% 29.00/29.21 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u16262 != _u16264) | ( hAPP(c_Code__Numeral_Onat__of, _u16262) = hAPP(c_Code__Numeral_Onat__of, _u16264)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u16267) != hAPP(c_Code__Numeral_Onat__of, _u16269)) | ( _u16267 = _u16269) )).
% 29.00/29.21 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u16268 != _u16270) | ( hAPP(c_Code__Numeral_Onat__of, _u16268) = hAPP(c_Code__Numeral_Onat__of, _u16270)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u16271)) = _u16271) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u16272)) = _u16272) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u16273)) = _u16273) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 29.00/29.21 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))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u16276), _u16278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16276)), hAPP(c_Code__Numeral_Onat__of, _u16278))) )).
% 29.00/29.21 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, _u16277)), hAPP(c_Code__Numeral_Onat__of, _u16279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u16277), _u16279)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16280)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 29.00/29.21 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), _u16281)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16281)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 29.00/29.21 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)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u16284), _u16286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16284)), hAPP(c_Code__Numeral_Onat__of, _u16286))) )).
% 29.00/29.21 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, _u16285)), hAPP(c_Code__Numeral_Onat__of, _u16287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u16285), _u16287)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u16288) = c_Code__Numeral_Onat__of__aux(_u16288, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u16289, _u16290) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16289)), _u16290)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u16291) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u16291)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16292), _u16293) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16292)), hAPP(c_Code__Numeral_Onat__of, _u16293)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16294), 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, _u16294)) = _u16294) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u16295), _u16296) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16295)), hAPP(c_Code__Numeral_Onat__of, _u16296)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u16297), _u16298) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16297)), hAPP(c_Code__Numeral_Onat__of, _u16298)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u16299), _u16300) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16299)), hAPP(c_Code__Numeral_Onat__of, _u16300)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u16301, _u16302) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u16301), hAPP(c_Code__Numeral_Onat__of, _u16302)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_code__numeral__decr-1, axiom, ( ( _u16303 = 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, _u16303)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u16303))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u16305) | ~class_Groups_Oordered__ab__semigroup__add(_u16305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16305), hAPP(c_List_Omonoid__add__class_Olistsum(_u16305), hAPP(hAPP(c_List_Omap(_u16306, _u16305), _u16308), _u16307))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16305), hAPP(hAPP(c_List_Omap(_u16306, _u16305), _u16309), _u16307)))) | hBOOL(hAPP(hAPP(c_member(_u16306), skolem372(_u16309, _u16308, _u16307, _u16306, _u16305)), hAPP(c_List_Oset(_u16306), _u16307))) )).
% 29.00/29.21 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u16305) | ~class_Groups_Oordered__ab__semigroup__add(_u16305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16305), hAPP(c_List_Omonoid__add__class_Olistsum(_u16305), hAPP(hAPP(c_List_Omap(_u16306, _u16305), _u16308), _u16307))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16305), hAPP(hAPP(c_List_Omap(_u16306, _u16305), _u16309), _u16307)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16305), hAPP(_u16308, skolem372(_u16309, _u16308, _u16307, _u16306, _u16305))), hAPP(_u16309, skolem372(_u16309, _u16308, _u16307, _u16306, _u16305)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u16311, _u16312, _u16313, _u16314) | ~hBOOL(hAPP(hAPP(c_member(_u16315), _u16318), _u16316)) | ( hAPP(c_Set_Oimage(_u16311, _u16312, _u16313), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16315, tc_fun(_u16311, tc_HOL_Obool)), _u16316), _u16317)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16315, tc_fun(_u16312, tc_HOL_Obool)), _u16316), hAPP(hAPP(c_COMBB(tc_fun(_u16311, tc_HOL_Obool), tc_fun(_u16312, tc_HOL_Obool), _u16315), c_Set_Oimage(_u16311, _u16312, _u16313)), _u16317))) | hBOOL(hAPP(hAPP(c_member(_u16315), skolem373(_u16318, _u16317, _u16316, _u16315, _u16314, _u16313, _u16312, _u16311)), _u16316)) )).
% 29.00/29.21 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u16311, _u16312, _u16313, _u16314) | ~hBOOL(hAPP(hAPP(c_member(_u16315), _u16318), _u16316)) | ( hAPP(c_Set_Oimage(_u16311, _u16312, _u16313), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16315, tc_fun(_u16311, tc_HOL_Obool)), _u16316), _u16317)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16315, tc_fun(_u16312, tc_HOL_Obool)), _u16316), hAPP(hAPP(c_COMBB(tc_fun(_u16311, tc_HOL_Obool), tc_fun(_u16312, tc_HOL_Obool), _u16315), c_Set_Oimage(_u16311, _u16312, _u16313)), _u16317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16311, tc_HOL_Obool)), hAPP(_u16317, skolem373(_u16318, _u16317, _u16316, _u16315, _u16314, _u16313, _u16312, _u16311))), _u16314)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u16319), _u16320) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u16319, 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)))), _u16320)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16323)), _u16324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16323)), _u16325))) | ( hAPP(hAPP(c_List_Otake(_u16323), _u16322), _u16324) = hAPP(hAPP(c_List_Otake(_u16323), _u16322), _u16325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem374(_u16325, _u16324, _u16323, _u16322)), _u16322)) )).
% 29.00/29.21 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16323)), _u16324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16323)), _u16325))) | ( hAPP(hAPP(c_List_Otake(_u16323), _u16322), _u16324) = hAPP(hAPP(c_List_Otake(_u16323), _u16322), _u16325)) | ( hAPP(hAPP(c_List_Onth(_u16323), _u16324), skolem374(_u16325, _u16324, _u16323, _u16322)) != hAPP(hAPP(c_List_Onth(_u16323), _u16325), skolem374(_u16325, _u16324, _u16323, _u16322))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16326) | ~hBOOL(hAPP(hAPP(c_member(_u16327), _u16328), hAPP(c_List_Oset(_u16327), _u16329))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16326), hAPP(hAPP(c_List_Omap(_u16327, _u16326), _u16330), _u16329)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16326), hAPP(_u16330, _u16328)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16326), hAPP(hAPP(c_List_Omap(_u16327, _u16326), _u16330), c_List_Oremove1(_u16327, _u16328, _u16329))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16331), _u16332)) | ( hAPP(c_List_Oset(_u16331), c_List_Oremove1(_u16331, _u16333, _u16332)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16331, tc_HOL_Obool)), hAPP(c_List_Oset(_u16331), _u16332)), hAPP(hAPP(c_Set_Oinsert(_u16331), _u16333), c_Orderings_Obot__class_Obot(tc_fun(_u16331, tc_HOL_Obool))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u16334, _u16335, c_List_Oremove1(_u16334, _u16336, _u16337)) = c_List_Oremove1(_u16334, _u16336, c_List_Oremove1(_u16334, _u16335, _u16337))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16338), _u16339)) | hBOOL(hAPP(c_List_Odistinct(_u16338), c_List_Oremove1(_u16338, _u16340, _u16339))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u16345 != _u16347) | ( c_List_Oremove1(_u16349, _u16345, hAPP(hAPP(c_List_Olist_OCons(_u16349), _u16347), _u16351)) = _u16351) )).
% 29.00/29.21 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u16346 = _u16348) | ( c_List_Oremove1(_u16350, _u16346, hAPP(hAPP(c_List_Olist_OCons(_u16350), _u16348), _u16352)) = hAPP(hAPP(c_List_Olist_OCons(_u16350), _u16348), c_List_Oremove1(_u16350, _u16346, _u16352))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u16353, _u16354, c_List_Olist_ONil(_u16353)) = c_List_Olist_ONil(_u16353)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16355), _u16356), hAPP(c_List_Oset(_u16355), _u16357))) | ( c_List_Oremove1(_u16355, _u16356, _u16357) = _u16357) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16358), _u16359), hAPP(c_List_Oset(_u16358), _u16360))) | ~hBOOL(hAPP(hAPP(c_member(_u16358), _u16359), hAPP(c_List_Oset(_u16358), c_List_Oremove1(_u16358, _u16361, _u16360)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__set__remove1-1, axiom, ( ( _u16362 = _u16363) | ~hBOOL(hAPP(hAPP(c_member(_u16364), _u16362), hAPP(c_List_Oset(_u16364), c_List_Oremove1(_u16364, _u16363, _u16365)))) | hBOOL(hAPP(hAPP(c_member(_u16364), _u16362), hAPP(c_List_Oset(_u16364), _u16365))) )).
% 29.00/29.21 cnf(fact_in__set__remove1-2, axiom, ( ( _u16362 = _u16363) | ~hBOOL(hAPP(hAPP(c_member(_u16364), _u16362), hAPP(c_List_Oset(_u16364), _u16365))) | hBOOL(hAPP(hAPP(c_member(_u16364), _u16362), hAPP(c_List_Oset(_u16364), c_List_Oremove1(_u16364, _u16363, _u16365)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16366, tc_HOL_Obool)), hAPP(c_List_Oset(_u16366), c_List_Oremove1(_u16366, _u16367, _u16368))), hAPP(c_List_Oset(_u16366), _u16368))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16373), _u16375), hAPP(c_List_Oset(_u16373), _u16377))) | ( c_List_Oremove1(_u16373, _u16375, hAPP(hAPP(c_List_Oappend(_u16373), _u16377), _u16379)) = hAPP(hAPP(c_List_Oappend(_u16373), c_List_Oremove1(_u16373, _u16375, _u16377)), _u16379)) )).
% 29.00/29.21 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16374), _u16376), hAPP(c_List_Oset(_u16374), _u16378))) | ( c_List_Oremove1(_u16374, _u16376, hAPP(hAPP(c_List_Oappend(_u16374), _u16378), _u16380)) = hAPP(hAPP(c_List_Oappend(_u16374), _u16378), c_List_Oremove1(_u16374, _u16376, _u16380))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16384), _u16386), hAPP(c_List_Oset(_u16384), _u16388))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16384)), c_List_Oremove1(_u16384, _u16386, _u16388)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16384)), _u16388)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.21 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16385), _u16387), hAPP(c_List_Oset(_u16385), _u16389))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16385)), c_List_Oremove1(_u16385, _u16387, _u16389)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16385)), _u16389)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u16390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16390), _u16391)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16390, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16390, tc_HOL_Obool)), _u16391), hAPP(hAPP(c_Set_Oinsert(_u16390), _u16392), c_Orderings_Obot__class_Obot(tc_fun(_u16390, tc_HOL_Obool))))) = c_List_Oremove1(_u16390, _u16392, c_List_Olinorder__class_Osorted__list__of__set(_u16390, _u16391))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u16393, _u16394, _u16395) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16393), tc_List_Olist(_u16393)), _u16396), _u16397)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16393, tc_HOL_Obool)), hAPP(c_List_Oset(_u16393), _u16396)), hAPP(c_List_Oset(_u16393), _u16397)) = hAPP(c_List_Oset(_u16393), _u16395)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u16398) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16398, c_Orderings_Obot__class_Obot(tc_fun(_u16398, tc_HOL_Obool))) = c_List_Olist_ONil(_u16398)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u16401, _u16402, _u16403) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16404), _u16405)) | ~hBOOL(hAPP(hAPP(c_member(_u16401), _u16399), hAPP(c_List_Oset(_u16401), _u16404))) | hBOOL(hAPP(_u16402, _u16399)) )).
% 29.00/29.21 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u16401, _u16402, _u16403) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16404), _u16405)) | ~hBOOL(hAPP(hAPP(c_member(_u16401), _u16400), hAPP(c_List_Oset(_u16401), _u16405))) | ~hBOOL(hAPP(_u16402, _u16400)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u16406, _u16407, c_List_Olist_ONil(_u16406)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16406), tc_List_Olist(_u16406)), c_List_Olist_ONil(_u16406)), c_List_Olist_ONil(_u16406))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u16408, _u16409, hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16410), _u16411)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16408), tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16408), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16408), tc_fun(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), tc_fun(tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), tc_List_Olist(_u16408)), c_COMBS(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_fun(tc_List_Olist(_u16408), tc_fun(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), tc_List_Olist(_u16408)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_fun(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_List_Olist(_u16408)), hAPP(c_If(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), hAPP(_u16409, _u16410)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16408), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_List_Olist(_u16408)), c_Product__Type_OPair(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), hAPP(c_List_Olist_OCons(_u16408), _u16410))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16408), tc_fun(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_fun(tc_fun(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), tc_List_Olist(_u16408)), c_COMBB(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_List_Olist(_u16408))), c_Product__Type_OPair(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), hAPP(c_List_Olist_OCons(_u16408), _u16410)))), c_List_Opartition(_u16408, _u16409, _u16411))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16412) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16412), _u16413)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16412, hAPP(hAPP(c_Set_Oinsert(_u16412), _u16414), _u16413)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16412, _u16412, c_COMBI(_u16412)), _u16414), c_List_Olinorder__class_Osorted__list__of__set(_u16412, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16412, tc_HOL_Obool)), _u16413), hAPP(hAPP(c_Set_Oinsert(_u16412), _u16414), c_Orderings_Obot__class_Obot(tc_fun(_u16412, tc_HOL_Obool))))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16415)), _u16416), c_List_Olists(_u16415, _u16417))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16415)), _u16416), c_List_Olists(_u16415, _u16418))) | hBOOL(hAPP(c_List_Olistsp(_u16415, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16415, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u16415, tc_fun(_u16415, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16415)), _u16417)), hAPP(hAPP(c_COMBC(_u16415, tc_fun(_u16415, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16415)), _u16418))), _u16416)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u16419, _u16420), c_List_Olist_ONil(_u16419))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u16421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16421), hAPP(_u16422, _u16423)), hAPP(_u16422, _u16424))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16425, _u16421, _u16422), _u16423), hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16424), _u16426)) = hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16423), hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16424), _u16426))) )).
% 29.00/29.21 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u16421) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16421), hAPP(_u16422, _u16423)), hAPP(_u16422, _u16424))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16425, _u16421, _u16422), _u16423), hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16424), _u16426)) = hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16424), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16425, _u16421, _u16422), _u16423), _u16426))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16427) | ( hAPP(c_List_Oset(_u16428), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16428, _u16427, _u16429), _u16430), _u16431)) = hAPP(hAPP(c_Set_Oinsert(_u16428), _u16430), hAPP(c_List_Oset(_u16428), _u16431))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16432) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16433)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16433, _u16432, _u16434), _u16435), _u16436)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16433)), _u16436))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u16437) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16438, _u16437, _u16439), _u16440), c_List_Olist_ONil(_u16438)) = hAPP(hAPP(c_List_Olist_OCons(_u16438), _u16440), c_List_Olist_ONil(_u16438))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16446, _u16448), _u16450)) | ~hBOOL(hAPP(hAPP(c_member(_u16446), _u16441), hAPP(c_List_Oset(_u16446), _u16450))) | hBOOL(hAPP(_u16448, _u16441)) )).
% 29.00/29.21 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u16447, _u16449), _u16451)) | hBOOL(hAPP(hAPP(c_member(_u16447), skolem375(_u16451, _u16449, _u16447)), hAPP(c_List_Oset(_u16447), _u16451))) )).
% 29.00/29.21 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u16447, _u16449), _u16451)) | ~hBOOL(hAPP(_u16449, skolem375(_u16451, _u16449, _u16447))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16452, _u16453), _u16454)) | ~hBOOL(hAPP(c_List_Olistsp(_u16452, _u16455), _u16454)) | hBOOL(hAPP(c_List_Olistsp(_u16452, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16452, tc_HOL_Obool)), _u16453), _u16455)), _u16454)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u16456, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16456, tc_HOL_Obool)), _u16457), _u16458)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u16456), tc_HOL_Obool)), c_List_Olistsp(_u16456, _u16457)), c_List_Olistsp(_u16456, _u16458))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16463, hAPP(hAPP(c_COMBS(_u16463, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16463), c_fconj), _u16465)), _u16467)), _u16469)) | hBOOL(hAPP(c_List_Olistsp(_u16463, _u16465), _u16469)) )).
% 29.00/29.21 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16463, hAPP(hAPP(c_COMBS(_u16463, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16463), c_fconj), _u16465)), _u16467)), _u16469)) | hBOOL(hAPP(c_List_Olistsp(_u16463, _u16467), _u16469)) )).
% 29.00/29.21 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16464, _u16466), _u16470)) | ~hBOOL(hAPP(c_List_Olistsp(_u16464, _u16468), _u16470)) | hBOOL(hAPP(c_List_Olistsp(_u16464, hAPP(hAPP(c_COMBS(_u16464, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16464), c_fconj), _u16466)), _u16468)), _u16470)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16471) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16471, _u16471, c_COMBI(_u16471)), _u16472), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16471, _u16471, c_COMBI(_u16471)), _u16473), _u16474)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16471, _u16471, c_COMBI(_u16471)), _u16473), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16471, _u16471, c_COMBI(_u16471)), _u16472), _u16474))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16475) | ( hAPP(_u16476, _u16477) = hAPP(_u16476, _u16478)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16479, _u16475, _u16476), _u16478), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16479, _u16475, _u16476), _u16477), _u16480)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16479, _u16475, _u16476), _u16477), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16479, _u16475, _u16476), _u16478), _u16480))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16485, _u16487), hAPP(hAPP(c_List_Oappend(_u16485), _u16489), _u16491))) | hBOOL(hAPP(c_List_Olistsp(_u16485, _u16487), _u16489)) )).
% 29.00/29.21 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16485, _u16487), hAPP(hAPP(c_List_Oappend(_u16485), _u16489), _u16491))) | hBOOL(hAPP(c_List_Olistsp(_u16485, _u16487), _u16491)) )).
% 29.00/29.21 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16486, _u16488), _u16490)) | ~hBOOL(hAPP(c_List_Olistsp(_u16486, _u16488), _u16492)) | hBOOL(hAPP(c_List_Olistsp(_u16486, _u16488), hAPP(hAPP(c_List_Oappend(_u16486), _u16490), _u16492))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16497, _u16499), hAPP(hAPP(c_List_Olist_OCons(_u16497), _u16501), _u16503))) | hBOOL(hAPP(_u16499, _u16501)) )).
% 29.00/29.21 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16497, _u16499), hAPP(hAPP(c_List_Olist_OCons(_u16497), _u16501), _u16503))) | hBOOL(hAPP(c_List_Olistsp(_u16497, _u16499), _u16503)) )).
% 29.00/29.21 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u16500, _u16502)) | ~hBOOL(hAPP(c_List_Olistsp(_u16498, _u16500), _u16504)) | hBOOL(hAPP(c_List_Olistsp(_u16498, _u16500), hAPP(hAPP(c_List_Olist_OCons(_u16498), _u16502), _u16504))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u16505) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16506, _u16505, _u16507), _u16508), _u16509) != c_List_Olist_ONil(_u16506)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u16510, _u16511), c_List_Olist_ONil(_u16510))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16512) | ( c_List_Oremove1(_u16512, _u16513, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16512, _u16512, c_COMBI(_u16512)), _u16513), _u16514)) = _u16514) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16515) | ~hBOOL(hAPP(c_List_Odistinct(_u16516), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16516, _u16515, _u16517), _u16518), _u16519))) | ~hBOOL(hAPP(hAPP(c_member(_u16516), _u16518), hAPP(c_List_Oset(_u16516), _u16519))) )).
% 29.00/29.21 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u16515) | ~hBOOL(hAPP(c_List_Odistinct(_u16516), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16516, _u16515, _u16517), _u16518), _u16519))) | hBOOL(hAPP(c_List_Odistinct(_u16516), _u16519)) )).
% 29.00/29.21 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u16515) | hBOOL(hAPP(hAPP(c_member(_u16516), _u16518), hAPP(c_List_Oset(_u16516), _u16519))) | ~hBOOL(hAPP(c_List_Odistinct(_u16516), _u16519)) | hBOOL(hAPP(c_List_Odistinct(_u16516), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16516, _u16515, _u16517), _u16518), _u16519))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16520, tc_HOL_Obool)), _u16521), _u16522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u16520), tc_HOL_Obool)), c_List_Olistsp(_u16520, _u16521)), c_List_Olistsp(_u16520, _u16522))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u16526, hAPP(hAPP(c_COMBC(_u16526, tc_fun(_u16526, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16526)), _u16528)), _u16530)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16526)), _u16530), c_List_Olists(_u16526, _u16528))) )).
% 29.00/29.21 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16527)), _u16531), c_List_Olists(_u16527, _u16529))) | hBOOL(hAPP(c_List_Olistsp(_u16527, hAPP(hAPP(c_COMBC(_u16527, tc_fun(_u16527, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16527)), _u16529)), _u16531)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u16532, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16532, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u16532, tc_fun(_u16532, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16532)), _u16533)), hAPP(hAPP(c_COMBC(_u16532, tc_fun(_u16532, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16532)), _u16534))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u16532), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16532), tc_fun(tc_List_Olist(_u16532), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u16532))), c_List_Olists(_u16532, _u16533))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16532), tc_fun(tc_List_Olist(_u16532), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u16532))), c_List_Olists(_u16532, _u16534)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u16535) | hBOOL(hAPP(hAPP(c_member(_u16535), hAPP(_u16536, _u16537)), hAPP(c_Set_Oimage(_u16538, _u16535, _u16536), hAPP(c_List_Oset(_u16538), _u16539)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16538, _u16535, _u16536, _u16537, _u16539) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16538, _u16535, _u16536), _u16537), _u16539)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16540) | hBOOL(hAPP(hAPP(c_member(_u16540), _u16541), hAPP(c_List_Oset(_u16540), _u16542))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16540, _u16540, c_COMBI(_u16540), _u16541, _u16542) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16540, _u16540, c_COMBI(_u16540)), _u16541), _u16542)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16543) | ~hBOOL(hAPP(c_List_Odistinct(_u16544), _u16545)) | hBOOL(hAPP(c_List_Odistinct(_u16544), c_List_Olinorder__class_Oinsort__insert__key(_u16544, _u16543, _u16546, _u16547, _u16545))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16548) | ~hBOOL(hAPP(hAPP(c_member(_u16548), _u16549), hAPP(c_List_Oset(_u16548), _u16550))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16548, _u16548, c_COMBI(_u16548), _u16549, _u16550) = _u16550) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16551) | ( hAPP(c_List_Oset(_u16551), c_List_Olinorder__class_Oinsort__insert__key(_u16551, _u16551, c_COMBI(_u16551), _u16552, _u16553)) = hAPP(hAPP(c_Set_Oinsert(_u16551), _u16552), hAPP(c_List_Oset(_u16551), _u16553))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16554) | ~hBOOL(hAPP(hAPP(c_member(_u16554), hAPP(_u16555, _u16556)), hAPP(c_Set_Oimage(_u16557, _u16554, _u16555), hAPP(c_List_Oset(_u16557), _u16558)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16557, _u16554, _u16555, _u16556, _u16558) = _u16558) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u16559, _u16560, hAPP(hAPP(c_List_Olist_OCons(_u16559), _u16561), _u16562), _u16563) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16559, _u16560)), hAPP(hAPP(c_List_Omap(_u16560, tc_prod(_u16559, _u16560)), hAPP(c_Product__Type_OPair(_u16559, _u16560), _u16561)), _u16563)), c_Enum_Oproduct(_u16559, _u16560, _u16562, _u16563))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u16571, _u16573, _u16575, _u16577, _u16579) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16571)), _u16577) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16573)), _u16579)) )).
% 29.00/29.21 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u16571, _u16573, _u16575, _u16577, _u16579) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16571, _u16573)), _u16564), hAPP(c_List_Oset(tc_prod(_u16571, _u16573)), hAPP(hAPP(c_List_Ozip(_u16571, _u16573), _u16577), _u16579)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16571, _u16573, tc_HOL_Obool), _u16575), _u16564)) )).
% 29.00/29.21 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u16572, _u16574, _u16576, _u16578, _u16580) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16572)), _u16578) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16574)), _u16580)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16572, _u16574)), skolem376(_u16580, _u16578, _u16576, _u16574, _u16572)), hAPP(c_List_Oset(tc_prod(_u16572, _u16574)), hAPP(hAPP(c_List_Ozip(_u16572, _u16574), _u16578), _u16580)))) )).
% 29.00/29.21 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u16572, _u16574, _u16576, _u16578, _u16580) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16572)), _u16578) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16574)), _u16580)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16572, _u16574, tc_HOL_Obool), _u16576), skolem376(_u16580, _u16578, _u16576, _u16574, _u16572))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u16581, _u16582, _u16583, _u16584, _u16585) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16584) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16582)), _u16585)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16586)), _u16587) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16589)) | ~c_List_Olist__all2(_u16586, _u16588, _u16590, hAPP(hAPP(c_List_Oappend(_u16586), _u16587), _u16591), hAPP(hAPP(c_List_Oappend(_u16588), _u16589), _u16592)) | c_List_Olist__all2(_u16586, _u16588, _u16590, _u16587, _u16589) )).
% 29.00/29.21 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16586)), _u16587) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16589)) | ~c_List_Olist__all2(_u16586, _u16588, _u16590, hAPP(hAPP(c_List_Oappend(_u16586), _u16587), _u16591), hAPP(hAPP(c_List_Oappend(_u16588), _u16589), _u16592)) | c_List_Olist__all2(_u16586, _u16588, _u16590, _u16591, _u16592) )).
% 29.00/29.21 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16586)), _u16587) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16589)) | ~c_List_Olist__all2(_u16586, _u16588, _u16590, _u16587, _u16589) | ~c_List_Olist__all2(_u16586, _u16588, _u16590, _u16591, _u16592) | c_List_Olist__all2(_u16586, _u16588, _u16590, hAPP(hAPP(c_List_Oappend(_u16586), _u16587), _u16591), hAPP(hAPP(c_List_Oappend(_u16588), _u16589), _u16592)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__eq-1, axiom, ( ( _u16596 != _u16598) | c_List_Olist__all2(_u16600, _u16600, c_fequal, _u16596, _u16598) )).
% 29.00/29.21 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u16601, _u16601, c_fequal, _u16597, _u16599) | ( _u16597 = _u16599) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u16602, _u16603, _u16604, _u16605, _u16606) | c_List_Olist__all2(_u16602, _u16603, _u16604, hAPP(hAPP(c_List_Otake(_u16602), _u16607), _u16605), hAPP(hAPP(c_List_Otake(_u16603), _u16607), _u16606)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u16608, _u16609, _u16610, _u16611, _u16612) | ~c_List_Olist__all2(_u16608, _u16609, _u16610, _u16613, _u16614) | c_List_Olist__all2(_u16608, _u16609, _u16610, hAPP(hAPP(c_List_Oappend(_u16608), _u16611), _u16613), hAPP(hAPP(c_List_Oappend(_u16609), _u16612), _u16614)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u16615, _u16616, _u16617, _u16618, _u16619) | c_List_Olist__all2(_u16615, _u16616, _u16617, hAPP(hAPP(c_List_Odrop(_u16615), _u16620), _u16618), hAPP(hAPP(c_List_Odrop(_u16616), _u16620), _u16619)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u16628, _u16630, _u16632, hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16634), _u16636), hAPP(hAPP(c_List_Olist_OCons(_u16630), _u16638), _u16640)) | hBOOL(hAPP(hAPP(_u16632, _u16634), _u16638)) )).
% 29.00/29.21 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u16628, _u16630, _u16632, hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16634), _u16636), hAPP(hAPP(c_List_Olist_OCons(_u16630), _u16638), _u16640)) | c_List_Olist__all2(_u16628, _u16630, _u16632, _u16636, _u16640) )).
% 29.00/29.21 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u16633, _u16635), _u16639)) | ~c_List_Olist__all2(_u16629, _u16631, _u16633, _u16637, _u16641) | c_List_Olist__all2(_u16629, _u16631, _u16633, hAPP(hAPP(c_List_Olist_OCons(_u16629), _u16635), _u16637), hAPP(hAPP(c_List_Olist_OCons(_u16631), _u16639), _u16641)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__Nil-1, axiom, ( ( _u16652 = c_List_Olist_ONil(_u16648)) | ~c_List_Olist__all2(_u16646, _u16648, _u16650, c_List_Olist_ONil(_u16646), _u16652) )).
% 29.00/29.21 cnf(fact_list__all2__Nil-2, axiom, ( ( _u16653 != c_List_Olist_ONil(_u16649)) | c_List_Olist__all2(_u16647, _u16649, _u16651, c_List_Olist_ONil(_u16647), _u16653) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u16658, _u16660, _u16662, _u16664, c_List_Olist_ONil(_u16660)) | ( _u16664 = c_List_Olist_ONil(_u16658)) )).
% 29.00/29.21 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u16665 != c_List_Olist_ONil(_u16659)) | c_List_Olist__all2(_u16659, _u16661, _u16663, _u16665, c_List_Olist_ONil(_u16661)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u16673, _u16675, _u16677, hAPP(hAPP(c_List_Omap(_u16679, _u16673), _u16681), _u16683), _u16685) | c_List_Olist__all2(_u16679, _u16675, hAPP(hAPP(c_COMBB(_u16673, tc_fun(_u16675, tc_HOL_Obool), _u16679), _u16677), _u16681), _u16683, _u16685) )).
% 29.00/29.21 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u16680, _u16676, hAPP(hAPP(c_COMBB(_u16674, tc_fun(_u16676, tc_HOL_Obool), _u16680), _u16678), _u16682), _u16684, _u16686) | c_List_Olist__all2(_u16674, _u16676, _u16678, hAPP(hAPP(c_List_Omap(_u16680, _u16674), _u16682), _u16684), _u16686) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u16694, _u16696, _u16698, _u16700, hAPP(hAPP(c_List_Omap(_u16702, _u16696), _u16704), _u16706)) | c_List_Olist__all2(_u16694, _u16702, hAPP(hAPP(c_COMBC(_u16694, tc_fun(_u16702, _u16696), tc_fun(_u16702, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16696, tc_HOL_Obool), tc_fun(tc_fun(_u16702, _u16696), tc_fun(_u16702, tc_HOL_Obool)), _u16694), c_COMBB(_u16696, tc_HOL_Obool, _u16702)), _u16698)), _u16704), _u16700, _u16706) )).
% 29.00/29.21 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u16695, _u16703, hAPP(hAPP(c_COMBC(_u16695, tc_fun(_u16703, _u16697), tc_fun(_u16703, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16697, tc_HOL_Obool), tc_fun(tc_fun(_u16703, _u16697), tc_fun(_u16703, tc_HOL_Obool)), _u16695), c_COMBB(_u16697, tc_HOL_Obool, _u16703)), _u16699)), _u16705), _u16701, _u16707) | c_List_Olist__all2(_u16695, _u16697, _u16699, _u16701, hAPP(hAPP(c_List_Omap(_u16703, _u16697), _u16705), _u16707)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u16708, _u16709, c_List_Olist_ONil(_u16708), _u16710) = c_List_Olist_ONil(tc_prod(_u16708, _u16709))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u16711, _u16712, _u16713, _u16714, _u16715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16716), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16712)), _u16715))) | hBOOL(hAPP(hAPP(_u16713, hAPP(hAPP(c_List_Onth(_u16711), _u16714), _u16716)), hAPP(hAPP(c_List_Onth(_u16712), _u16715), _u16716))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u16717, _u16718, _u16719, _u16720, _u16721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16722), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16717)), _u16720))) | hBOOL(hAPP(hAPP(_u16719, hAPP(hAPP(c_List_Onth(_u16717), _u16720), _u16722)), hAPP(hAPP(c_List_Onth(_u16718), _u16721), _u16722))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u16730, _u16732, _u16734, _u16736, _u16738) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16730)), _u16736) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16732)), _u16738)) )).
% 29.00/29.21 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u16730, _u16732, _u16734, _u16736, _u16738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16723), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16730)), _u16736))) | hBOOL(hAPP(hAPP(_u16734, hAPP(hAPP(c_List_Onth(_u16730), _u16736), _u16723)), hAPP(hAPP(c_List_Onth(_u16732), _u16738), _u16723))) )).
% 29.00/29.21 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u16731, _u16733, _u16735, _u16737, _u16739) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16731)), _u16737) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16733)), _u16739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem377(_u16739, _u16737, _u16735, _u16733, _u16731)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16731)), _u16737))) )).
% 29.00/29.21 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u16731, _u16733, _u16735, _u16737, _u16739) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16731)), _u16737) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16733)), _u16739)) | ~hBOOL(hAPP(hAPP(_u16735, hAPP(hAPP(c_List_Onth(_u16731), _u16737), skolem377(_u16739, _u16737, _u16735, _u16733, _u16731))), hAPP(hAPP(c_List_Onth(_u16733), _u16739), skolem377(_u16739, _u16737, _u16735, _u16733, _u16731)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u16740, _u16741, _u16742, _u16743, _u16744) | ~hBOOL(hAPP(hAPP(_u16742, _u16745), _u16746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16747), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16744))) | c_List_Olist__all2(_u16740, _u16741, _u16742, hAPP(hAPP(c_List_Olist__update(_u16740, _u16743), _u16747), _u16745), hAPP(hAPP(c_List_Olist__update(_u16741, _u16744), _u16747), _u16746)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16748), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16749)), _u16750))) | ~c_List_Olist__all2(_u16749, _u16751, _u16752, _u16750, _u16753) | ~hBOOL(hAPP(hAPP(_u16752, _u16754), _u16755)) | c_List_Olist__all2(_u16749, _u16751, _u16752, hAPP(hAPP(c_List_Olist__update(_u16749, _u16750), _u16748), _u16754), hAPP(hAPP(c_List_Olist__update(_u16751, _u16753), _u16748), _u16755)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16756), _u16757)) | ~hBOOL(hAPP(c_List_Odistinct(_u16758), _u16759)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16756, _u16758)), c_Enum_Oproduct(_u16756, _u16758, _u16757, _u16759))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u16760, _u16761)), c_Enum_Oproduct(_u16760, _u16761, _u16762, _u16763)) = hAPP(hAPP(c_Product__Type_OSigma(_u16760, _u16761), hAPP(c_List_Oset(_u16760), _u16762)), hAPP(c_COMBK(tc_fun(_u16761, tc_HOL_Obool), _u16760), hAPP(c_List_Oset(_u16761), _u16763)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16764))), c_Enum_Osublists(_u16764, _u16765)) = 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(_u16764)), _u16765))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u16766, _u16767) = c_HOL_OThe(_u16766, _u16767)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u16768, c_List_Olist_ONil(_u16768)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16768)), c_List_Olist_ONil(_u16768)), c_List_Olist_ONil(tc_List_Olist(_u16768)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u16769, hAPP(hAPP(c_List_Olist_OCons(_u16769), _u16770), _u16771)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u16769)), tc_List_Olist(tc_List_Olist(_u16769))), c_Enum_Osublists(_u16769, _u16771)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u16769)), tc_List_Olist(tc_List_Olist(_u16769)), tc_List_Olist(tc_List_Olist(_u16769))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u16769)), tc_fun(tc_List_Olist(tc_List_Olist(_u16769)), tc_List_Olist(tc_List_Olist(_u16769))), tc_List_Olist(tc_List_Olist(_u16769))), c_List_Oappend(tc_List_Olist(_u16769))), hAPP(c_List_Omap(tc_List_Olist(_u16769), tc_List_Olist(_u16769)), hAPP(c_List_Olist_OCons(_u16769), _u16770)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u16769)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16772), _u16773)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u16772, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16772), tc_fun(_u16772, tc_HOL_Obool)), c_List_Oset(_u16772)), c_Enum_Osublists(_u16772, _u16773)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u16774), tc_fun(_u16774, tc_HOL_Obool), c_List_Oset(_u16774)), hAPP(c_List_Oset(tc_List_Olist(_u16774)), c_Enum_Osublists(_u16774, _u16775))) = hAPP(c_Set_OPow(_u16774), hAPP(c_List_Oset(_u16774), _u16775))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u16776)), c_Enum_On__lists(_u16776, _u16777, _u16778)) = hAPP(c_Set_OCollect(tc_List_Olist(_u16776)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16776), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16776)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16776), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16776)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16776)))), _u16777))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16776), tc_fun(_u16776, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16776, tc_HOL_Obool), tc_fun(tc_fun(_u16776, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16776)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16776, tc_HOL_Obool))), c_List_Oset(_u16776))), hAPP(c_List_Oset(_u16776), _u16778))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16780)), _u16782) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16781)), _u16783)) | c_List_Olist__all2(_u16780, _u16781, _u16784, _u16782, _u16783) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16780, _u16781)), skolem378(_u16784, _u16783, _u16782, _u16781, _u16780)), hAPP(c_List_Oset(tc_prod(_u16780, _u16781)), hAPP(hAPP(c_List_Ozip(_u16780, _u16781), _u16782), _u16783)))) )).
% 29.00/29.21 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16780)), _u16782) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16781)), _u16783)) | c_List_Olist__all2(_u16780, _u16781, _u16784, _u16782, _u16783) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16780, _u16781, tc_HOL_Obool), _u16784), skolem378(_u16784, _u16783, _u16782, _u16781, _u16780))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16785), _u16786)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u16785)), c_Enum_On__lists(_u16785, _u16787, _u16786))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_n__lists__Nil-1, axiom, ( ( _u16790 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16792, _u16790, c_List_Olist_ONil(_u16792)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16792)), c_List_Olist_ONil(_u16792)), c_List_Olist_ONil(tc_List_Olist(_u16792)))) )).
% 29.00/29.21 cnf(fact_n__lists__Nil-2, axiom, ( ( _u16791 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16793, _u16791, c_List_Olist_ONil(_u16793)) = c_List_Olist_ONil(tc_List_Olist(_u16793))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u16794, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16795) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16794)), c_List_Olist_ONil(_u16794)), c_List_Olist_ONil(tc_List_Olist(_u16794)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16796)), _u16797), hAPP(c_List_Oset(tc_List_Olist(_u16796)), c_Enum_On__lists(_u16796, _u16798, _u16799)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16796)), _u16797) = _u16798) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16800))), c_Enum_On__lists(_u16800, _u16801, _u16802)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16800)), _u16802)), _u16801)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u16803, _u16804, _u16805, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16803, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u16803), tc_fun(_u16803, tc_HOL_Obool), c_List_Oset(_u16803)), _u16806))) | c_Fun_Oinj__on(tc_List_Olist(_u16803), tc_List_Olist(_u16804), hAPP(c_List_Omap(_u16803, _u16804), _u16805), _u16806) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u16807, _u16808) | ~c_Wellfounded_Owf(_u16807, _u16809) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16807, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16807, _u16807), _u16808)), hAPP(c_Relation_ORange(_u16807, _u16807), _u16809)) != c_Orderings_Obot__class_Obot(tc_fun(_u16807, tc_HOL_Obool))) | c_Wellfounded_Owf(_u16807, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16807, _u16807), tc_HOL_Obool)), _u16808), _u16809)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16810, tc_HOL_Obool)), _u16811), _u16812)) | ~hBOOL(hAPP(hAPP(c_member(_u16810), _u16813), _u16811)) | hBOOL(hAPP(hAPP(c_member(_u16810), _u16813), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16810, tc_HOL_Obool), _u16812))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16814, _u16815)), hAPP(hAPP(c_Product__Type_OPair(_u16814, _u16815), _u16816), _u16817)), _u16818)) | hBOOL(hAPP(hAPP(c_member(_u16814), _u16816), hAPP(c_Relation_ODomain(_u16814, _u16815), _u16818))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u16819), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16819, _u16819), tc_HOL_Obool), _u16820)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16819, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u16819, _u16819), tc_HOL_Obool), tc_fun(_u16819, tc_HOL_Obool), c_Relation_OField(_u16819)), _u16820))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u16821, _u16822, _u16823), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16821, tc_HOL_Obool), _u16824)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16821, tc_HOL_Obool), tc_fun(_u16822, tc_HOL_Obool)), _u16824), c_Set_Oimage(_u16821, _u16822, _u16823))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16825, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u16825, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u16825, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16826, _u16827), tc_HOL_Obool)), _u16828), _u16829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16826, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16826, _u16827), _u16828)), hAPP(c_Relation_ODomain(_u16826, _u16827), _u16829))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u16830, _u16831, _u16832) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16830, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u16830), _u16831), _u16832)) = _u16831) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16833, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16833, tc_HOL_Obool)), _u16834), _u16835)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16833, tc_HOL_Obool)), _u16834), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16833, tc_HOL_Obool), _u16835))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16836, tc_HOL_Obool), tc_HOL_Obool)), _u16837), _u16838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16836, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16836, tc_HOL_Obool), _u16837)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16836, tc_HOL_Obool), _u16838))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u16839, _u16840), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16839, tc_HOL_Obool), _u16841)), _u16842) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16839, tc_HOL_Obool), tc_fun(tc_prod(_u16839, _u16840), tc_HOL_Obool)), _u16841), hAPP(hAPP(c_COMBC(tc_fun(_u16839, tc_HOL_Obool), tc_fun(_u16839, tc_fun(_u16840, tc_HOL_Obool)), tc_fun(tc_prod(_u16839, _u16840), tc_HOL_Obool)), c_Product__Type_OSigma(_u16839, _u16840)), _u16842))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16843, tc_HOL_Obool), _u16844) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16843, tc_HOL_Obool), tc_fun(_u16843, tc_HOL_Obool)), _u16844), c_COMBI(tc_fun(_u16843, tc_HOL_Obool)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16845, tc_HOL_Obool), tc_fun(_u16846, tc_HOL_Obool)), _u16847), hAPP(hAPP(c_COMBC(tc_fun(_u16845, tc_HOL_Obool), tc_fun(_u16845, tc_fun(_u16846, tc_HOL_Obool)), tc_fun(_u16846, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16845, tc_fun(_u16846, tc_HOL_Obool))), _u16848)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16845, tc_fun(_u16846, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16845, tc_HOL_Obool), _u16847)), _u16848)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16849, tc_fun(_u16850, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16849, tc_HOL_Obool), _u16851)), _u16852) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16849, tc_HOL_Obool), tc_fun(_u16850, tc_HOL_Obool)), _u16851), hAPP(hAPP(c_COMBC(tc_fun(_u16849, tc_HOL_Obool), tc_fun(_u16849, tc_fun(_u16850, tc_HOL_Obool)), tc_fun(_u16850, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16849, tc_fun(_u16850, tc_HOL_Obool))), _u16852))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16853, _u16854), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16853, _u16854), tc_HOL_Obool), _u16855)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u16853, _u16854), tc_HOL_Obool), tc_fun(_u16853, tc_HOL_Obool)), _u16855), c_Relation_ODomain(_u16853, _u16854))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u16856, _u16857, _u16858), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16857, tc_HOL_Obool), _u16859)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16857, tc_HOL_Obool), tc_fun(_u16856, tc_HOL_Obool)), _u16859), c_Set_Ovimage(_u16856, _u16857, _u16858))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u16860, _u16861), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16860, _u16861), tc_HOL_Obool), _u16862)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u16860, _u16861), tc_HOL_Obool), tc_fun(_u16861, tc_HOL_Obool)), _u16862), c_Relation_ORange(_u16860, _u16861))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16863, _u16863), c_Relation_OId__on(_u16863, _u16864)) = _u16864) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16867) | ~class_Orderings_Olinorder(_u16867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), c_Complete__Lattice_OSup__class_OSup(_u16867, _u16869))) | hBOOL(hAPP(hAPP(c_member(_u16867), skolem379(_u16869, _u16868, _u16867)), _u16869)) )).
% 29.00/29.21 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16867) | ~class_Orderings_Olinorder(_u16867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), c_Complete__Lattice_OSup__class_OSup(_u16867, _u16869))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), skolem379(_u16869, _u16868, _u16867))) )).
% 29.00/29.21 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16867) | ~class_Orderings_Olinorder(_u16867) | ~hBOOL(hAPP(hAPP(c_member(_u16867), _u16866), _u16869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), _u16866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), c_Complete__Lattice_OSup__class_OSup(_u16867, _u16869))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), hAPP(c_Set_OPow(_u16870), _u16871)) = _u16871) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16872, tc_HOL_Obool)), _u16873), _u16874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16872, tc_HOL_Obool)), _u16873), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16872, tc_HOL_Obool), _u16874))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), c_Complete__Lattice_OSup__class_OSup(_u16877, _u16878)), _u16879)) | ~hBOOL(hAPP(hAPP(c_member(_u16877), _u16875), _u16878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), _u16875), _u16879)) )).
% 29.00/29.21 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16877) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), c_Complete__Lattice_OSup__class_OSup(_u16877, _u16878)), _u16879)) | hBOOL(hAPP(hAPP(c_member(_u16877), skolem380(_u16879, _u16878, _u16877)), _u16878)) )).
% 29.00/29.21 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16877) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), c_Complete__Lattice_OSup__class_OSup(_u16877, _u16878)), _u16879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), skolem380(_u16879, _u16878, _u16877)), _u16879)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16880, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16880, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16880, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16881, tc_HOL_Obool), tc_HOL_Obool)), _u16882), hAPP(c_Set_OPow(_u16881), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16881, tc_HOL_Obool), _u16882)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16883), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16883, tc_HOL_Obool), _u16884))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16883, tc_HOL_Obool)), _u16884)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16885, tc_fun(_u16886, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16885, tc_HOL_Obool), _u16887)), _u16888) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16885, tc_HOL_Obool), tc_fun(_u16886, tc_HOL_Obool)), _u16887), hAPP(hAPP(c_COMBC(tc_fun(_u16885, tc_HOL_Obool), tc_fun(_u16885, tc_fun(_u16886, tc_HOL_Obool)), tc_fun(_u16886, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16885, tc_fun(_u16886, tc_HOL_Obool))), _u16888))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16889, tc_HOL_Obool), tc_fun(_u16890, tc_HOL_Obool)), _u16891), hAPP(hAPP(c_COMBC(tc_fun(_u16889, tc_HOL_Obool), tc_fun(_u16889, tc_fun(_u16890, tc_HOL_Obool)), tc_fun(_u16890, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16889, tc_fun(_u16890, tc_HOL_Obool))), _u16892)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16889, tc_fun(_u16890, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16889, tc_HOL_Obool), _u16891)), _u16892)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16896, _u16898), _u16900) != c_Orderings_Obot__class_Obot(tc_fun(_u16896, tc_HOL_Obool))) | ( _u16900 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u16896, _u16898), tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u16901 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u16897, _u16899), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u16897, _u16899), _u16901) = c_Orderings_Obot__class_Obot(tc_fun(_u16897, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16902, _u16903), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u16902, _u16903), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16902, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16909, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16909, tc_HOL_Obool), _u16911)), _u16913) != c_Orderings_Obot__class_Obot(tc_fun(_u16909, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16909, tc_HOL_Obool)), _u16904), _u16911)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16909, tc_HOL_Obool)), _u16904), _u16913) = c_Orderings_Obot__class_Obot(tc_fun(_u16909, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16910, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16910, tc_HOL_Obool), _u16912)), _u16914) = c_Orderings_Obot__class_Obot(tc_fun(_u16910, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16910, tc_HOL_Obool)), skolem381(_u16914, _u16912, _u16910)), _u16912)) )).
% 29.00/29.21 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16910, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16910, tc_HOL_Obool), _u16912)), _u16914) = c_Orderings_Obot__class_Obot(tc_fun(_u16910, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16910, tc_HOL_Obool)), skolem381(_u16914, _u16912, _u16910)), _u16914) != c_Orderings_Obot__class_Obot(tc_fun(_u16910, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16915, tc_HOL_Obool)), _u16916), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16915, tc_HOL_Obool), _u16917)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16915, tc_HOL_Obool), tc_fun(_u16915, tc_HOL_Obool)), _u16917), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16915, tc_HOL_Obool)), _u16916))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16918, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16918, tc_HOL_Obool), _u16919)), _u16920) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16918, tc_HOL_Obool), tc_fun(_u16918, tc_HOL_Obool)), _u16919), hAPP(hAPP(c_COMBC(tc_fun(_u16918, tc_HOL_Obool), tc_fun(_u16918, tc_HOL_Obool), tc_fun(_u16918, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16918, tc_HOL_Obool))), _u16920))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16921, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u16921, tc_HOL_Obool), tc_HOL_Obool)), _u16922), _u16923)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16921, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16921, tc_HOL_Obool), _u16922)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16921, tc_HOL_Obool), _u16923))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16924, _u16925), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16924, _u16925), tc_HOL_Obool)), _u16926), _u16927)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16924, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16924, _u16925), _u16926)), hAPP(c_Relation_ODomain(_u16924, _u16925), _u16927))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16928, _u16928), c_Relation_OId(_u16928)) = c_Orderings_Otop__class_Otop(tc_fun(_u16928, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16929, tc_fun(_u16930, tc_HOL_Obool)), _u16931), _u16932) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16930, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16929, tc_fun(_u16930, tc_HOL_Obool), _u16932), _u16931))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16933, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16934, tc_fun(_u16933, tc_HOL_Obool), _u16935), _u16936)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16934, tc_fun(_u16933, tc_HOL_Obool)), _u16936), _u16935)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16937, _u16938)), _u16939)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16937), hAPP(c_Relation_ODomain(_u16937, _u16938), _u16939))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16940) | ~hBOOL(hAPP(hAPP(c_member(_u16940), _u16941), _u16942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16940), _u16941), c_Complete__Lattice_OSup__class_OSup(_u16940, _u16942))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u16943, _u16944), _u16943, c_Product__Type_Ofst(_u16943, _u16944)), _u16945) = hAPP(c_Relation_ODomain(_u16943, _u16944), _u16945)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16946) | ( c_Complete__Lattice_OSup__class_OSup(_u16946, c_Orderings_Obot__class_Obot(tc_fun(_u16946, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u16946)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16947) | ( c_Complete__Lattice_OSup__class_OSup(_u16947, hAPP(hAPP(c_Set_Oinsert(_u16947), _u16948), c_Orderings_Obot__class_Obot(tc_fun(_u16947, tc_HOL_Obool)))) = _u16948) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16949) | ( c_Complete__Lattice_OSup__class_OSup(_u16949, hAPP(hAPP(c_Set_Oinsert(_u16949), _u16950), _u16951)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16949), _u16950), c_Complete__Lattice_OSup__class_OSup(_u16949, _u16951))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16952) | ( c_Complete__Lattice_OSup__class_OSup(_u16952, c_Orderings_Otop__class_Otop(tc_fun(_u16952, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u16952)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16959), _u16961), hAPP(c_Relation_ODomain(_u16959, _u16963), _u16965))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16959, _u16963)), hAPP(hAPP(c_Product__Type_OPair(_u16959, _u16963), _u16961), skolem382(_u16965, _u16963, _u16961, _u16959))), _u16965)) )).
% 29.00/29.21 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16960, _u16964)), hAPP(hAPP(c_Product__Type_OPair(_u16960, _u16964), _u16962), _u16954)), _u16966)) | hBOOL(hAPP(hAPP(c_member(_u16960), _u16962), hAPP(c_Relation_ODomain(_u16960, _u16964), _u16966))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16967, tc_HOL_Obool)), _u16968), _u16969) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16967, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16967, tc_HOL_Obool)), _u16968), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16967, tc_HOL_Obool)), _u16969), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16967, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16970, tc_fun(_u16971, tc_HOL_Obool)), _u16972), hAPP(hAPP(c_COMBS(_u16970, tc_fun(_u16971, tc_HOL_Obool), tc_fun(_u16971, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16971, tc_HOL_Obool), tc_fun(tc_fun(_u16971, tc_HOL_Obool), tc_fun(_u16971, tc_HOL_Obool)), _u16970), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16971, tc_HOL_Obool))), _u16973)), _u16974)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16971, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16971, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16970, tc_fun(_u16971, tc_HOL_Obool), _u16973), _u16972))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16971, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16970, tc_fun(_u16971, tc_HOL_Obool), _u16974), _u16972)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16975, _u16976), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u16975, _u16976)), hAPP(hAPP(c_Product__Type_OPair(_u16975, _u16976), _u16977), _u16978)), _u16979)) = hAPP(hAPP(c_Set_Oinsert(_u16975), _u16977), hAPP(c_Relation_ODomain(_u16975, _u16976), _u16979))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16980, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16980, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u16980, tc_HOL_Obool), tc_HOL_Obool)), _u16981), _u16982))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16980, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16980, tc_HOL_Obool), _u16981)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16980, tc_HOL_Obool), _u16982)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16983, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16983, _u16984), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u16983, _u16984), tc_HOL_Obool)), _u16985), _u16986))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16983, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16983, _u16984), _u16985)), hAPP(c_Relation_ODomain(_u16983, _u16984), _u16986)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16987, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16987, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16987, _u16988), _u16989)), hAPP(c_Relation_ODomain(_u16987, _u16988), _u16990))), hAPP(c_Relation_ODomain(_u16987, _u16988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16987, _u16988), tc_HOL_Obool)), _u16989), _u16990)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u16991), _u16992) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16991, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16991, _u16991), _u16992)), hAPP(c_Relation_ORange(_u16991, _u16991), _u16992))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16993) | ( c_Complete__Lattice_OSup__class_OSup(_u16993, hAPP(hAPP(c_Set_Oinsert(_u16993), _u16994), hAPP(hAPP(c_Set_Oinsert(_u16993), _u16995), c_Orderings_Obot__class_Obot(tc_fun(_u16993, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16993), _u16994), _u16995)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16996) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16996), _u16997)) | ( _u16997 = c_Orderings_Obot__class_Obot(tc_fun(_u16996, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16996, _u16997) = c_Complete__Lattice_OSup__class_OSup(_u16996, _u16997)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u16998, _u16999), hAPP(c_Set_OCollect(tc_prod(_u16998, _u16999)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16998, _u16999, tc_HOL_Obool), _u17000))) = hAPP(c_Set_OCollect(_u16998), hAPP(hAPP(c_COMBB(tc_fun(_u16999, tc_HOL_Obool), tc_HOL_Obool, _u16998), c_HOL_OEx(_u16999)), _u17000))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17001) | ( c_Complete__Lattice_OSup__class_OSup(_u17001, hAPP(c_List_Oset(_u17001), _u17002)) = hAPP(c_List_Ofoldl(_u17001, _u17001, c_Lattices_Osemilattice__sup__class_Osup(_u17001), c_Orderings_Obot__class_Obot(_u17001)), _u17002)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u17007, _u17009, hAPP(hAPP(c_COMBC(_u17007, tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_fun(_u17009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17009, tc_fun(tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_fun(_u17009, tc_HOL_Obool)), _u17007), c_COMBC(_u17009, tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17009, tc_prod(_u17007, _u17009)), tc_fun(_u17009, tc_fun(tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_HOL_Obool)), _u17007), hAPP(c_COMBB(tc_prod(_u17007, _u17009), tc_fun(tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_HOL_Obool), _u17009), c_member(tc_prod(_u17007, _u17009)))), c_Product__Type_OPair(_u17007, _u17009)))), _u17011)), _u17013)) | hBOOL(hAPP(hAPP(c_member(_u17007), _u17013), hAPP(c_Relation_ODomain(_u17007, _u17009), _u17011))) )).
% 29.00/29.21 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17008), _u17014), hAPP(c_Relation_ODomain(_u17008, _u17010), _u17012))) | hBOOL(hAPP(c_Predicate_ODomainP(_u17008, _u17010, hAPP(hAPP(c_COMBC(_u17008, tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_fun(_u17010, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17010, tc_fun(tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_fun(_u17010, tc_HOL_Obool)), _u17008), c_COMBC(_u17010, tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17010, tc_prod(_u17008, _u17010)), tc_fun(_u17010, tc_fun(tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_HOL_Obool)), _u17008), hAPP(c_COMBB(tc_prod(_u17008, _u17010), tc_fun(tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_HOL_Obool), _u17010), c_member(tc_prod(_u17008, _u17010)))), c_Product__Type_OPair(_u17008, _u17010)))), _u17012)), _u17014)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17016, tc_HOL_Obool)), _u17017)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17016), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17016, tc_HOL_Obool), _u17017))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17016, tc_HOL_Obool)), skolem383(_u17017, _u17016)), _u17017)) )).
% 29.00/29.21 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17016, tc_HOL_Obool)), _u17017)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17016), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17016, tc_HOL_Obool), _u17017))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17016), skolem383(_u17017, _u17016))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u17018, _u17019), _u17020)) | hBOOL(hAPP(c_Predicate_ODomainP(_u17021, _u17022, _u17018), _u17019)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u17033, _u17035), skolem384(_u17035, _u17033))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u17029, _u17031, _u17033), _u17035)) )).
% 29.00/29.21 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u17034, _u17036), _u17024)) | hBOOL(hAPP(c_Predicate_ODomainP(_u17030, _u17032, _u17034), _u17036)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), _u17040), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17039, tc_HOL_Obool), _u17041)) = c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), skolem385(_u17041, _u17040, _u17039)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041))) )).
% 29.00/29.21 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), _u17040), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17039, tc_HOL_Obool), _u17041)) = c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), skolem386(_u17041, _u17040, _u17039)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041))) )).
% 29.00/29.21 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), _u17040), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17039, tc_HOL_Obool), _u17041)) = c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) | ( skolem385(_u17041, _u17040, _u17039) != skolem386(_u17041, _u17040, _u17039)) )).
% 29.00/29.21 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), _u17040), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17039, tc_HOL_Obool), _u17041)) = c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), skolem385(_u17041, _u17040, _u17039)), skolem386(_u17041, _u17040, _u17039)) != c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17043), _u17044), hAPP(c_Relation_ODomain(_u17043, _u17045), _u17046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17043, _u17045)), hAPP(hAPP(c_Product__Type_OPair(_u17043, _u17045), _u17044), skolem387(_u17046, _u17045, _u17044, _u17043))), _u17046)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17047) | ( c_Complete__Lattice_OSup__class_OSup(_u17047, _u17048) = c_Complete__Lattice_OInf__class_OInf(_u17047, hAPP(c_Set_OCollect(_u17047), hAPP(hAPP(c_COMBB(tc_fun(_u17047, tc_HOL_Obool), tc_HOL_Obool, _u17047), c_HOL_OAll(_u17047)), hAPP(hAPP(c_COMBB(tc_fun(_u17047, tc_HOL_Obool), tc_fun(_u17047, tc_HOL_Obool), _u17047), hAPP(c_COMBS(_u17047, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17047), c_fimplies), hAPP(hAPP(c_COMBC(_u17047, tc_fun(_u17047, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17047)), _u17048)))), hAPP(c_COMBC(_u17047, _u17047, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u17047))))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17049) | ( c_Complete__Lattice_OInf__class_OInf(_u17049, _u17050) = c_Complete__Lattice_OSup__class_OSup(_u17049, hAPP(c_Set_OCollect(_u17049), hAPP(hAPP(c_COMBB(tc_fun(_u17049, tc_HOL_Obool), tc_HOL_Obool, _u17049), c_HOL_OAll(_u17049)), hAPP(hAPP(c_COMBB(tc_fun(_u17049, tc_HOL_Obool), tc_fun(_u17049, tc_HOL_Obool), _u17049), hAPP(c_COMBS(_u17049, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17049), c_fimplies), hAPP(hAPP(c_COMBC(_u17049, tc_fun(_u17049, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17049)), _u17050)))), c_Orderings_Oord__class_Oless__eq(_u17049)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17052, tc_HOL_Obool)), _u17051), _u17053)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17052), _u17051)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17052), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17052, tc_HOL_Obool), _u17053))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_InterD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17054), _u17055), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17054, tc_HOL_Obool), _u17056))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17054, tc_HOL_Obool)), _u17057), _u17056)) | hBOOL(hAPP(hAPP(c_member(_u17054), _u17055), _u17057)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_InterE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17058), _u17059), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17058, tc_HOL_Obool), _u17060))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17058, tc_HOL_Obool)), _u17061), _u17060)) | hBOOL(hAPP(hAPP(c_member(_u17058), _u17059), _u17061)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17062, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17062, tc_HOL_Obool)), _u17063), _u17064)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17062, tc_HOL_Obool)), _u17063), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17062, tc_HOL_Obool), _u17064))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17065, tc_HOL_Obool), _u17066) = hAPP(c_Set_OCollect(_u17065), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17065, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u17065), c_HOL_OAll(tc_fun(_u17065, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17065, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u17065, tc_HOL_Obool), tc_HOL_Obool), _u17065), hAPP(c_COMBS(tc_fun(_u17065, 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(_u17065, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u17065, tc_HOL_Obool), tc_fun(tc_fun(_u17065, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u17065, tc_HOL_Obool))), _u17066)))), c_member(_u17065))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u17067, tc_HOL_Obool), tc_HOL_Obool)), _u17068), _u17069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17067, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17067, tc_HOL_Obool), _u17069)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17067, tc_HOL_Obool), _u17068))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17070, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17070, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u17070, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), c_Complete__Lattice_OInf__class_OInf(_u17073, _u17075))) | ~hBOOL(hAPP(hAPP(c_member(_u17073), _u17071), _u17075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), _u17071)) )).
% 29.00/29.21 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), c_Complete__Lattice_OInf__class_OInf(_u17073, _u17075))) | hBOOL(hAPP(hAPP(c_member(_u17073), skolem388(_u17075, _u17074, _u17073)), _u17075)) )).
% 29.00/29.21 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), c_Complete__Lattice_OInf__class_OInf(_u17073, _u17075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), skolem388(_u17075, _u17074, _u17073))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17078) | ~class_Orderings_Olinorder(_u17078) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), c_Complete__Lattice_OInf__class_OInf(_u17078, _u17079)), _u17080)) | hBOOL(hAPP(hAPP(c_member(_u17078), skolem389(_u17080, _u17079, _u17078)), _u17079)) )).
% 29.00/29.21 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17078) | ~class_Orderings_Olinorder(_u17078) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), c_Complete__Lattice_OInf__class_OInf(_u17078, _u17079)), _u17080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), skolem389(_u17080, _u17079, _u17078)), _u17080)) )).
% 29.00/29.21 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17078) | ~class_Orderings_Olinorder(_u17078) | ~hBOOL(hAPP(hAPP(c_member(_u17078), _u17077), _u17079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), _u17077), _u17080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), c_Complete__Lattice_OInf__class_OInf(_u17078, _u17079)), _u17080)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17081, tc_HOL_Obool)), _u17082), _u17083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17081, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17081, tc_HOL_Obool), _u17083)), _u17082)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17084, tc_HOL_Obool), _u17085) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17084, tc_HOL_Obool), tc_fun(_u17084, tc_HOL_Obool)), _u17085), c_COMBI(tc_fun(_u17084, tc_HOL_Obool)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17086, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17086, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u17086, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17087) | ~hBOOL(hAPP(hAPP(c_member(_u17087), _u17088), _u17089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17087), c_Complete__Lattice_OInf__class_OInf(_u17087, _u17089)), _u17088)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17090, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17090, tc_HOL_Obool), tc_HOL_Obool)), _u17091), _u17092)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17090, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17090, tc_HOL_Obool), _u17091)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17090, tc_HOL_Obool), _u17092))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17093) | ( c_Complete__Lattice_OInf__class_OInf(_u17093, hAPP(hAPP(c_Set_Oinsert(_u17093), _u17094), c_Orderings_Obot__class_Obot(tc_fun(_u17093, tc_HOL_Obool)))) = _u17094) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17095) | ( c_Complete__Lattice_OInf__class_OInf(_u17095, c_Orderings_Obot__class_Obot(tc_fun(_u17095, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17095)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17096) | ( c_Complete__Lattice_OInf__class_OInf(_u17096, c_Orderings_Otop__class_Otop(tc_fun(_u17096, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17096)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17097) | ( c_Complete__Lattice_OInf__class_OInf(_u17097, hAPP(hAPP(c_Set_Oinsert(_u17097), _u17098), _u17099)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17097), _u17098), c_Complete__Lattice_OInf__class_OInf(_u17097, _u17099))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17100, tc_fun(_u17101, tc_HOL_Obool)), _u17102), _u17103) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17101, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17100, tc_fun(_u17101, tc_HOL_Obool), _u17103), _u17102))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17104, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17105, tc_fun(_u17104, tc_HOL_Obool), _u17106), _u17107)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17105, tc_fun(_u17104, tc_HOL_Obool)), _u17107), _u17106)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17108, tc_HOL_Obool)), _u17109), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17108, tc_HOL_Obool), _u17110)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17108, tc_HOL_Obool), tc_fun(_u17108, tc_HOL_Obool)), _u17110), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17108, tc_HOL_Obool)), _u17109))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17111, tc_HOL_Obool)), _u17112), _u17113) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17111, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17111, tc_HOL_Obool)), _u17112), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17111, tc_HOL_Obool)), _u17113), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17111, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17114, tc_fun(_u17115, tc_HOL_Obool)), _u17116), hAPP(hAPP(c_COMBS(_u17114, tc_fun(_u17115, tc_HOL_Obool), tc_fun(_u17115, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17115, tc_HOL_Obool), tc_fun(tc_fun(_u17115, tc_HOL_Obool), tc_fun(_u17115, tc_HOL_Obool)), _u17114), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17115, tc_HOL_Obool))), _u17117)), _u17118)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17115, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17115, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17114, tc_fun(_u17115, tc_HOL_Obool), _u17117), _u17116))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17115, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17114, tc_fun(_u17115, tc_HOL_Obool), _u17118), _u17116)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17119, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17119, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17119, tc_HOL_Obool), _u17120)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17119, tc_HOL_Obool), _u17121))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17119, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17119, tc_HOL_Obool), tc_HOL_Obool)), _u17120), _u17121)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17122) | ( c_Complete__Lattice_OInf__class_OInf(_u17122, hAPP(hAPP(c_Set_Oinsert(_u17122), _u17123), hAPP(hAPP(c_Set_Oinsert(_u17122), _u17124), c_Orderings_Obot__class_Obot(tc_fun(_u17122, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17122), _u17123), _u17124)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17125), _u17126)) | ( _u17126 = c_Orderings_Obot__class_Obot(tc_fun(_u17125, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17125, _u17126) = c_Complete__Lattice_OInf__class_OInf(_u17125, _u17126)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17127) | ( c_Complete__Lattice_OInf__class_OInf(_u17127, hAPP(c_List_Oset(_u17127), _u17128)) = hAPP(c_List_Ofoldl(_u17127, _u17127, c_Lattices_Osemilattice__inf__class_Oinf(_u17127), c_Orderings_Otop__class_Otop(_u17127)), _u17128)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem390(_u17134, _u17133, _u17132)), _u17133)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem391(_u17134, _u17133, _u17132)), _u17133)) )).
% 29.00/29.21 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem390(_u17134, _u17133, _u17132)), _u17133)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem392(_u17134, _u17133, _u17132)), _u17133)) )).
% 29.00/29.21 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem390(_u17134, _u17133, _u17132)), _u17133)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( skolem391(_u17134, _u17133, _u17132) != skolem392(_u17134, _u17133, _u17132)) )).
% 29.00/29.21 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem390(_u17134, _u17133, _u17132)), _u17133)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17132, tc_HOL_Obool)), skolem391(_u17134, _u17133, _u17132)), skolem392(_u17134, _u17133, _u17132)) != c_Orderings_Obot__class_Obot(tc_fun(_u17132, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(c_Finite__Set_Ocard(_u17132), skolem390(_u17134, _u17133, _u17132)) != _u17134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem391(_u17134, _u17133, _u17132)), _u17133)) )).
% 29.00/29.21 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(c_Finite__Set_Ocard(_u17132), skolem390(_u17134, _u17133, _u17132)) != _u17134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem392(_u17134, _u17133, _u17132)), _u17133)) )).
% 29.00/29.21 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(c_Finite__Set_Ocard(_u17132), skolem390(_u17134, _u17133, _u17132)) != _u17134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( skolem391(_u17134, _u17133, _u17132) != skolem392(_u17134, _u17133, _u17132)) )).
% 29.00/29.21 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(c_Finite__Set_Ocard(_u17132), skolem390(_u17134, _u17133, _u17132)) != _u17134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17132, tc_HOL_Obool)), skolem391(_u17134, _u17133, _u17132)), skolem392(_u17134, _u17133, _u17132)) != c_Orderings_Obot__class_Obot(tc_fun(_u17132, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u17139, _u17137), c_Recdef_Osame__fst(_u17139, _u17137, _u17136, _u17138)) | hBOOL(hAPP(_u17136, skolem393(_u17139, _u17138, _u17137, _u17136))) )).
% 29.00/29.21 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u17139, _u17137), c_Recdef_Osame__fst(_u17139, _u17137, _u17136, _u17138)) | ~c_Wellfounded_Owf(_u17137, hAPP(_u17138, skolem393(_u17139, _u17138, _u17137, _u17136))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17141), _u17144), hAPP(c_List_Oset(_u17141), _u17142))) | hBOOL(hAPP(_u17143, _u17144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem394(_u17144, _u17143, _u17142, _u17141)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17141)), _u17142))) )).
% 29.00/29.21 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17141), _u17144), hAPP(c_List_Oset(_u17141), _u17142))) | hBOOL(hAPP(_u17143, _u17144)) | ~hBOOL(hAPP(_u17143, hAPP(hAPP(c_List_Onth(_u17141), _u17142), skolem394(_u17144, _u17143, _u17142, _u17141)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u17145, _u17146, _u17147, hAPP(hAPP(c_Set_Oinsert(_u17145), _u17148), hAPP(c_List_Oset(_u17145), _u17149))) | ( hAPP(hAPP(c_List_Omap(_u17145, _u17146), _u17147), hAPP(c_List_OremoveAll(_u17145, _u17148), _u17149)) = hAPP(c_List_OremoveAll(_u17146, hAPP(_u17147, _u17148)), hAPP(hAPP(c_List_Omap(_u17145, _u17146), _u17147), _u17149))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17150), _u17151)) | hBOOL(hAPP(c_List_Odistinct(_u17150), hAPP(c_List_OremoveAll(_u17150, _u17152), _u17151))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17153, _u17154), c_List_Olist_ONil(_u17153)) = c_List_Olist_ONil(_u17153)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u17159 != _u17161) | ( hAPP(c_List_OremoveAll(_u17163, _u17159), hAPP(hAPP(c_List_Olist_OCons(_u17163), _u17161), _u17165)) = hAPP(c_List_OremoveAll(_u17163, _u17159), _u17165)) )).
% 29.00/29.21 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u17160 = _u17162) | ( hAPP(c_List_OremoveAll(_u17164, _u17160), hAPP(hAPP(c_List_Olist_OCons(_u17164), _u17162), _u17166)) = hAPP(hAPP(c_List_Olist_OCons(_u17164), _u17162), hAPP(c_List_OremoveAll(_u17164, _u17160), _u17166))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17167, _u17168), hAPP(hAPP(c_List_Oappend(_u17167), _u17169), _u17170)) = hAPP(hAPP(c_List_Oappend(_u17167), hAPP(c_List_OremoveAll(_u17167, _u17168), _u17169)), hAPP(c_List_OremoveAll(_u17167, _u17168), _u17170))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17171), _u17172), hAPP(c_List_Oset(_u17171), _u17173))) | ( hAPP(c_List_OremoveAll(_u17171, _u17172), _u17173) = _u17173) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17174), _u17175)) | ( c_List_Oremove1(_u17174, _u17176, _u17175) = hAPP(c_List_OremoveAll(_u17174, _u17176), _u17175)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u17177, _u17178, _u17179, c_Orderings_Otop__class_Otop(tc_fun(_u17177, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17177, _u17178), _u17179), hAPP(c_List_OremoveAll(_u17177, _u17180), _u17181)) = hAPP(c_List_OremoveAll(_u17178, hAPP(_u17179, _u17180)), hAPP(hAPP(c_List_Omap(_u17177, _u17178), _u17179), _u17181))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u17182), hAPP(c_List_OremoveAll(_u17182, _u17183), _u17184)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17182, tc_HOL_Obool)), hAPP(c_List_Oset(_u17182), _u17184)), hAPP(hAPP(c_Set_Oinsert(_u17182), _u17183), c_Orderings_Obot__class_Obot(tc_fun(_u17182, tc_HOL_Obool))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17185), _u17186), hAPP(c_List_Oset(_u17185), _u17187))) | ( c_List_Oinsert(_u17185, _u17186, _u17187) = hAPP(hAPP(c_List_Olist_OCons(_u17185), _u17186), _u17187)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17191), _u17193), hAPP(c_List_Oset(_u17191), _u17195))) | ( c_List_Oinsert(_u17191, _u17193, _u17195) = _u17195) )).
% 29.00/29.21 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17192), _u17194), hAPP(c_List_Oset(_u17192), _u17196))) | ( c_List_Oinsert(_u17192, _u17194, _u17196) = hAPP(hAPP(c_List_Olist_OCons(_u17192), _u17194), _u17196)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17197), _u17198)) | hBOOL(hAPP(c_List_Odistinct(_u17197), c_List_Oinsert(_u17197, _u17199, _u17198))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17200), _u17201), hAPP(c_List_Oset(_u17200), _u17202))) | ( c_List_Oinsert(_u17200, _u17201, _u17202) = _u17202) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u17203), c_List_Oinsert(_u17203, _u17204, _u17205)) = hAPP(hAPP(c_Set_Oinsert(_u17203), _u17204), hAPP(c_List_Oset(_u17203), _u17205))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u17206, _u17207, c_List_Olist_ONil(_u17206)) = hAPP(hAPP(c_List_Olist_OCons(_u17206), _u17207), c_List_Olist_ONil(_u17206))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u17208, hAPP(c_Nat_OSuc, _u17209), _u17210) = c_List_Oconcat(tc_List_Olist(_u17208), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17208), tc_List_Olist(tc_List_Olist(_u17208))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17208), tc_List_Olist(_u17208), tc_List_Olist(tc_List_Olist(_u17208))), hAPP(hAPP(c_COMBB(tc_fun(_u17208, tc_List_Olist(_u17208)), tc_fun(tc_List_Olist(_u17208), tc_List_Olist(tc_List_Olist(_u17208))), tc_List_Olist(_u17208)), c_List_Omap(_u17208, tc_List_Olist(_u17208))), hAPP(c_COMBC(_u17208, tc_List_Olist(_u17208), tc_List_Olist(_u17208)), c_List_Olist_OCons(_u17208)))), _u17210)), c_Enum_On__lists(_u17208, _u17209, _u17210)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17211)), hAPP(c_List_Ofilter(_u17211, _u17212), _u17213)) = 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(_u17211)), _u17213)))), hAPP(hAPP(c_COMBB(_u17211, tc_HOL_Obool, tc_Nat_Onat), _u17212), hAPP(c_List_Onth(_u17211), _u17213)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17214), _u17215)) | hBOOL(hAPP(c_List_Odistinct(_u17214), hAPP(c_List_Ofilter(_u17214, _u17216), _u17215))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17217)), hAPP(c_List_Ofilter(_u17217, _u17218), _u17219))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17217)), _u17219))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17220)), hAPP(c_List_Ofilter(_u17220, _u17221), _u17222))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17220)), hAPP(c_List_Ofilter(_u17220, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17220), c_fNot), _u17221)), _u17222))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17220)), _u17222)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17223), tc_List_Olist(_u17223)), c_List_Opartition(_u17223, _u17224, _u17225)) = hAPP(c_List_Ofilter(_u17223, _u17224), _u17225)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u17226, _u17227), hAPP(c_List_Ofilter(_u17226, _u17228), _u17229)) = hAPP(c_List_Ofilter(_u17226, hAPP(hAPP(c_COMBS(_u17226, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17226), c_fconj), _u17228)), _u17227)), _u17229)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u17230, _u17231)) | ( c_List_Oremove1(_u17232, _u17231, hAPP(c_List_Ofilter(_u17232, _u17230), _u17233)) = hAPP(c_List_Ofilter(_u17232, _u17230), _u17233)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u17234, _u17235), c_List_Oremove1(_u17234, _u17236, _u17237)) = c_List_Oremove1(_u17234, _u17236, hAPP(c_List_Ofilter(_u17234, _u17235), _u17237))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17238) | hBOOL(hAPP(_u17239, _u17240)) | ( hAPP(c_List_Ofilter(_u17241, _u17239), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17241, _u17238, _u17242), _u17240), _u17243)) = hAPP(c_List_Ofilter(_u17241, _u17239), _u17243)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u17244, _u17245), hAPP(hAPP(c_List_Omap(_u17246, _u17244), _u17247), _u17248)) = hAPP(hAPP(c_List_Omap(_u17246, _u17244), _u17247), hAPP(c_List_Ofilter(_u17246, hAPP(c_Fun_Ocomp(_u17244, tc_HOL_Obool, _u17246, _u17245), _u17247)), _u17248))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u17249, _u17250), c_List_Oconcat(_u17249, _u17251)) = c_List_Oconcat(_u17249, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17249), tc_List_Olist(_u17249)), c_List_Ofilter(_u17249, _u17250)), _u17251))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17257, _u17259), _u17261) != c_List_Olist_ONil(_u17257)) | ~hBOOL(hAPP(hAPP(c_member(_u17257), _u17252), hAPP(c_List_Oset(_u17257), _u17261))) | ~hBOOL(hAPP(_u17259, _u17252)) )).
% 29.00/29.21 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17258, _u17260), _u17262) = c_List_Olist_ONil(_u17258)) | hBOOL(hAPP(hAPP(c_member(_u17258), skolem395(_u17262, _u17260, _u17258)), hAPP(c_List_Oset(_u17258), _u17262))) )).
% 29.00/29.21 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17258, _u17260), _u17262) = c_List_Olist_ONil(_u17258)) | hBOOL(hAPP(_u17260, skolem395(_u17262, _u17260, _u17258))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u17263, _u17264), c_List_Olist_ONil(_u17263)) = c_List_Olist_ONil(_u17263)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u17269, _u17271)) | ( hAPP(c_List_Ofilter(_u17273, _u17269), hAPP(hAPP(c_List_Olist_OCons(_u17273), _u17271), _u17275)) = hAPP(hAPP(c_List_Olist_OCons(_u17273), _u17271), hAPP(c_List_Ofilter(_u17273, _u17269), _u17275))) )).
% 29.00/29.21 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u17270, _u17272)) | ( hAPP(c_List_Ofilter(_u17274, _u17270), hAPP(hAPP(c_List_Olist_OCons(_u17274), _u17272), _u17276)) = hAPP(c_List_Ofilter(_u17274, _u17270), _u17276)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u17277, _u17278), hAPP(hAPP(c_List_Oappend(_u17277), _u17279), _u17280)) = hAPP(hAPP(c_List_Oappend(_u17277), hAPP(c_List_Ofilter(_u17277, _u17278), _u17279)), hAPP(c_List_Ofilter(_u17277, _u17278), _u17280))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17281, tc_HOL_Obool)), hAPP(c_List_Oset(_u17281), hAPP(c_List_Ofilter(_u17281, _u17282), _u17283))), hAPP(c_List_Oset(_u17281), _u17283))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17289, _u17291), _u17293) != _u17293) | ~hBOOL(hAPP(hAPP(c_member(_u17289), _u17284), hAPP(c_List_Oset(_u17289), _u17293))) | hBOOL(hAPP(_u17291, _u17284)) )).
% 29.00/29.21 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17290, _u17292), _u17294) = _u17294) | hBOOL(hAPP(hAPP(c_member(_u17290), skolem396(_u17294, _u17292, _u17290)), hAPP(c_List_Oset(_u17290), _u17294))) )).
% 29.00/29.21 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17290, _u17292), _u17294) = _u17294) | ~hBOOL(hAPP(_u17292, skolem396(_u17294, _u17292, _u17290))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17295), tc_List_Olist(_u17295), c_List_Oappend(_u17295), _u17296), _u17297) = hAPP(hAPP(c_List_Oappend(_u17295), _u17296), c_List_Oconcat(_u17295, _u17297))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u17298, _u17299) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17298), tc_List_Olist(_u17298), c_List_Oappend(_u17298), c_List_Olist_ONil(_u17298)), _u17299)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u17300, _u17301)) | ( hAPP(c_List_OremoveAll(_u17302, _u17301), hAPP(c_List_Ofilter(_u17302, _u17300), _u17303)) = hAPP(c_List_Ofilter(_u17302, _u17300), _u17303)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u17304, _u17305) = c_List_Ofilter(_u17304, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17304), c_fNot), hAPP(c_fequal, _u17305)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u17306, c_List_Olist_ONil(tc_List_Olist(_u17306))) = c_List_Olist_ONil(_u17306)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u17307, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17307)), _u17308), _u17309)) = hAPP(hAPP(c_List_Oappend(_u17307), _u17308), c_List_Oconcat(_u17307, _u17309))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17310), tc_List_Olist(_u17310)), c_List_Opartition(_u17310, _u17311, _u17312)) = hAPP(c_List_Ofilter(_u17310, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17310, c_fNot), _u17311)), _u17312)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u17317, _u17319) != c_List_Olist_ONil(_u17317)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17317)), _u17313), hAPP(c_List_Oset(tc_List_Olist(_u17317)), _u17319))) | ( _u17313 = c_List_Olist_ONil(_u17317)) )).
% 29.00/29.21 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u17318, _u17320) = c_List_Olist_ONil(_u17318)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17318)), skolem397(_u17320, _u17318)), hAPP(c_List_Oset(tc_List_Olist(_u17318)), _u17320))) )).
% 29.00/29.21 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u17318, _u17320) = c_List_Olist_ONil(_u17318)) | ( skolem397(_u17320, _u17318) != c_List_Olist_ONil(_u17318)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u17325) != c_List_Oconcat(_u17325, _u17327)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17325)), _u17321), hAPP(c_List_Oset(tc_List_Olist(_u17325)), _u17327))) | ( _u17321 = c_List_Olist_ONil(_u17325)) )).
% 29.00/29.21 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u17326) = c_List_Oconcat(_u17326, _u17328)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17326)), skolem398(_u17328, _u17326)), hAPP(c_List_Oset(tc_List_Olist(_u17326)), _u17328))) )).
% 29.00/29.21 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u17326) = c_List_Oconcat(_u17326, _u17328)) | ( skolem398(_u17328, _u17326) != c_List_Olist_ONil(_u17326)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17329, _u17330), _u17331), c_List_Oconcat(_u17329, _u17332)) = c_List_Oconcat(_u17330, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17329), tc_List_Olist(_u17330)), hAPP(c_List_Omap(_u17329, _u17330), _u17331)), _u17332))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17333)), c_List_Oconcat(_u17333, _u17334)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17333), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17333))), _u17334))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u17335), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17335), tc_List_Olist(tc_List_Olist(_u17335))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17335)), _u17335, c_List_Olist_ONil(tc_List_Olist(_u17335)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17335), tc_List_Olist(tc_List_Olist(_u17335))), _u17335), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17335), tc_List_Olist(tc_List_Olist(_u17335)), tc_List_Olist(tc_List_Olist(_u17335))), c_List_Olist_OCons(tc_List_Olist(_u17335))), c_List_Olist_ONil(tc_List_Olist(_u17335)))))), _u17336)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17335), tc_List_Olist(_u17335)), c_List_Otl(_u17335)), hAPP(c_List_Ofilter(tc_List_Olist(_u17335), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17335)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17335), tc_List_Olist(_u17335), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17335)))), _u17336))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u17337), hAPP(c_List_Ofilter(_u17337, _u17338), _u17339)) = hAPP(c_Set_OCollect(_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), hAPP(hAPP(c_COMBC(_u17337, tc_fun(_u17337, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17337)), hAPP(c_List_Oset(_u17337), _u17339)))), _u17338))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17340)), hAPP(c_List_Ofilter(_u17340, _u17341), hAPP(hAPP(c_List_Omap(_u17342, _u17340), _u17343), _u17344))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17342)), hAPP(c_List_Ofilter(_u17342, hAPP(c_Fun_Ocomp(_u17340, tc_HOL_Obool, _u17342, _u17341), _u17343)), _u17344))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u17345), c_List_Oconcat(_u17345, _u17346)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17345), tc_fun(_u17345, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17345)), _u17346)), c_List_Oset(_u17345))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u17347, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17347), tc_List_Olist(_u17347)), c_List_Olist_Olist__case(tc_List_Olist(_u17347), _u17347, c_List_Olist_ONil(_u17347), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17347), tc_fun(tc_List_Olist(_u17347), tc_List_Olist(_u17347)), _u17347), c_COMBK(tc_List_Olist(_u17347), tc_List_Olist(_u17347))), hAPP(hAPP(c_COMBC(_u17347, tc_List_Olist(_u17347), tc_List_Olist(_u17347)), c_List_Olist_OCons(_u17347)), c_List_Olist_ONil(_u17347))))), _u17348)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17347), _u17347), c_List_Ohd(_u17347)), hAPP(c_List_Ofilter(tc_List_Olist(_u17347), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17347)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17347), tc_List_Olist(_u17347), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17347)))), _u17348))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17349), _u17350), hAPP(c_List_Oset(_u17349), _u17351))) | hBOOL(hAPP(_u17352, _u17350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17349)), hAPP(c_List_Ofilter(_u17349, _u17352), _u17351))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17349)), _u17351))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u17353, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17353)), _u17354), _u17355)) = hAPP(hAPP(c_List_Oappend(_u17353), c_List_Oconcat(_u17353, _u17354)), c_List_Oconcat(_u17353, _u17355))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u17356, _u17357, _u17358) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17356), tc_List_Olist(_u17356)), hAPP(c_List_Ofilter(_u17356, _u17357), _u17358)), hAPP(c_List_Ofilter(_u17356, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17356, c_fNot), _u17357)), _u17358))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17359, tc_Nat_Onat), _u17359), c_Product__Type_Ofst(_u17359, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17359, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17359, tc_Nat_Onat)), _u17360), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u17359, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u17359, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u17359, tc_Nat_Onat), _u17361), _u17362))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17359, tc_Nat_Onat), _u17359), c_Product__Type_Ofst(_u17359, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17359, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17359, tc_Nat_Onat)), _u17360), c_Product__Type_Osnd(_u17359, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u17359, tc_Nat_Onat), _u17361), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u17362))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u17363, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17363), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17363, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17363, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17363)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17364)) = c_Random_Opick(_u17363, _u17364)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u17365, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17365), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17365, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17365, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17365)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17366)) = c_Random_Oselect__weight(_u17365, _u17366)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17367, tc_HOL_Obool)), hAPP(c_List_Oset(_u17367), _u17368)), hAPP(hAPP(c_Set_Oinsert(_u17367), _u17369), c_Orderings_Obot__class_Obot(tc_fun(_u17367, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u17367), hAPP(c_List_Ofilter(_u17367, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17367), c_fNot), hAPP(hAPP(c_COMBC(_u17367, _u17367, tc_HOL_Obool), c_fequal), _u17369))), _u17368))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17370), _u17371)) | ( hAPP(c_List_Ofilter(_u17370, hAPP(hAPP(c_COMBC(_u17370, tc_fun(_u17370, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17370)), hAPP(c_List_Oset(_u17370), c_List_Osublist(_u17370, _u17371, _u17372)))), _u17371) = c_List_Osublist(_u17370, _u17371, _u17372)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17374), tc_List_Olist(_u17374))), skolem399(_u17376, _u17375, _u17374)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17374), tc_List_Olist(_u17374))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17374), tc_List_Olist(_u17374)), _u17375), _u17376)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17375) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17376)) | ( c_List_Oconcat(_u17374, _u17375) != c_List_Oconcat(_u17374, _u17376)) | ( _u17375 = _u17376) )).
% 29.00/29.21 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17374), tc_List_Olist(_u17374))), skolem399(_u17376, _u17375, _u17374)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17374), tc_List_Olist(_u17374))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17374), tc_List_Olist(_u17374)), _u17375), _u17376)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17375) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17376)) | ( _u17375 != _u17376) | ( c_List_Oconcat(_u17374, _u17375) = c_List_Oconcat(_u17374, _u17376)) )).
% 29.00/29.21 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17374), tc_List_Olist(_u17374), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17374), tc_fun(tc_List_Olist(_u17374), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17374), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17374), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17374), tc_HOL_Obool)), tc_List_Olist(_u17374)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17374))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17374)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17374))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17374)))), skolem399(_u17376, _u17375, _u17374))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17375) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17376)) | ( c_List_Oconcat(_u17374, _u17375) != c_List_Oconcat(_u17374, _u17376)) | ( _u17375 = _u17376) )).
% 29.00/29.21 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17374), tc_List_Olist(_u17374), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17374), tc_fun(tc_List_Olist(_u17374), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17374), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17374), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17374), tc_HOL_Obool)), tc_List_Olist(_u17374)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17374))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17374)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17374))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17374)))), skolem399(_u17376, _u17375, _u17374))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17375) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17376)) | ( _u17375 != _u17376) | ( c_List_Oconcat(_u17374, _u17375) = c_List_Oconcat(_u17374, _u17376)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u17378, _u17379) != c_List_Oconcat(_u17378, _u17380)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17378))), _u17379) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17378))), _u17380)) | ( _u17379 = _u17380) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17378), tc_List_Olist(_u17378))), skolem400(_u17380, _u17379, _u17378)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17378), tc_List_Olist(_u17378))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17378), tc_List_Olist(_u17378)), _u17379), _u17380)))) )).
% 29.00/29.21 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u17378, _u17379) != c_List_Oconcat(_u17378, _u17380)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17378))), _u17379) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17378))), _u17380)) | ( _u17379 = _u17380) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17378), tc_List_Olist(_u17378), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17378), tc_fun(tc_List_Olist(_u17378), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17378), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool)), tc_List_Olist(_u17378)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17378))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17378)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17378))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17378)))), skolem400(_u17380, _u17379, _u17378))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u17381, hAPP(hAPP(c_List_Omap(_u17382, tc_List_Olist(_u17381)), hAPP(hAPP(c_COMBC(_u17382, tc_List_Olist(_u17381), tc_List_Olist(_u17381)), hAPP(hAPP(c_COMBB(_u17381, tc_fun(tc_List_Olist(_u17381), tc_List_Olist(_u17381)), _u17382), c_List_Olist_OCons(_u17381)), _u17383)), c_List_Olist_ONil(_u17381))), _u17384)) = hAPP(hAPP(c_List_Omap(_u17382, _u17381), _u17383), _u17384)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u17385, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17385)), hAPP(hAPP(c_List_Olist_OCons(_u17385), _u17386), _u17387)), _u17388)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17385)), hAPP(hAPP(c_List_Olist_OCons(_u17385), _u17386), c_List_Oconcat(_u17385, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17385), tc_List_Olist(_u17385)), c_List_Olist_Olist__case(tc_List_Olist(_u17385), _u17385, c_List_Olist_ONil(_u17385), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17385), tc_fun(tc_List_Olist(_u17385), tc_List_Olist(_u17385)), _u17385), c_COMBK(tc_List_Olist(_u17385), tc_List_Olist(_u17385))), hAPP(hAPP(c_COMBC(_u17385, tc_List_Olist(_u17385), tc_List_Olist(_u17385)), c_List_Olist_OCons(_u17385)), c_List_Olist_ONil(_u17385))))), _u17388)))), c_List_Otranspose(_u17385, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17385)), _u17387), c_List_Oconcat(tc_List_Olist(_u17385), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17385), tc_List_Olist(tc_List_Olist(_u17385))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17385)), _u17385, c_List_Olist_ONil(tc_List_Olist(_u17385)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17385), tc_List_Olist(tc_List_Olist(_u17385))), _u17385), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17385), tc_List_Olist(tc_List_Olist(_u17385)), tc_List_Olist(tc_List_Olist(_u17385))), c_List_Olist_OCons(tc_List_Olist(_u17385))), c_List_Olist_ONil(tc_List_Olist(_u17385)))))), _u17388)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17389)), c_List_Otranspose__rel(_u17389)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), hAPP(hAPP(c_List_Olist_OCons(_u17389), _u17390), _u17391)), _u17392))) | ( c_List_Otranspose(_u17389, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), hAPP(hAPP(c_List_Olist_OCons(_u17389), _u17390), _u17391)), _u17392)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), hAPP(hAPP(c_List_Olist_OCons(_u17389), _u17390), c_List_Oconcat(_u17389, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17389), tc_List_Olist(_u17389)), c_List_Olist_Olist__case(tc_List_Olist(_u17389), _u17389, c_List_Olist_ONil(_u17389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17389), tc_fun(tc_List_Olist(_u17389), tc_List_Olist(_u17389)), _u17389), c_COMBK(tc_List_Olist(_u17389), tc_List_Olist(_u17389))), hAPP(hAPP(c_COMBC(_u17389, tc_List_Olist(_u17389), tc_List_Olist(_u17389)), c_List_Olist_OCons(_u17389)), c_List_Olist_ONil(_u17389))))), _u17392)))), c_List_Otranspose(_u17389, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), _u17391), c_List_Oconcat(tc_List_Olist(_u17389), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17389), tc_List_Olist(tc_List_Olist(_u17389))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17389)), _u17389, c_List_Olist_ONil(tc_List_Olist(_u17389)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17389), tc_List_Olist(tc_List_Olist(_u17389))), _u17389), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17389), tc_List_Olist(tc_List_Olist(_u17389)), tc_List_Olist(tc_List_Olist(_u17389))), c_List_Olist_OCons(tc_List_Olist(_u17389))), c_List_Olist_ONil(tc_List_Olist(_u17389)))))), _u17392)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17393)), c_List_Otranspose__rel(_u17393)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17393)), c_List_Olist_ONil(_u17393)), _u17394))) | ( c_List_Otranspose(_u17393, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17393)), c_List_Olist_ONil(_u17393)), _u17394)) = c_List_Otranspose(_u17393, _u17394)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u17395, c_List_Olist_ONil(tc_List_Olist(_u17395))) = c_List_Olist_ONil(tc_List_Olist(_u17395))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17396)), c_List_Otranspose__rel(_u17396)), c_List_Olist_ONil(tc_List_Olist(_u17396)))) | ( c_List_Otranspose(_u17396, c_List_Olist_ONil(tc_List_Olist(_u17396))) = c_List_Olist_ONil(tc_List_Olist(_u17396))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u17397, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17397)), c_List_Olist_ONil(_u17397)), _u17398)) = c_List_Otranspose(_u17397, _u17398)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u17399, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17400), tc_List_Olist(_u17399)), hAPP(c_List_Omap(_u17400, _u17399), _u17401)), _u17402)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17400), tc_List_Olist(_u17399)), hAPP(c_List_Omap(_u17400, _u17399), _u17401)), c_List_Otranspose(_u17400, _u17402))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u17407, _u17409) != c_List_Olist_ONil(tc_List_Olist(_u17407))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17407)), _u17403), hAPP(c_List_Oset(tc_List_Olist(_u17407)), _u17409))) | ( _u17403 = c_List_Olist_ONil(_u17407)) )).
% 29.00/29.21 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u17408, _u17410) = c_List_Olist_ONil(tc_List_Olist(_u17408))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17408)), skolem401(_u17410, _u17408)), hAPP(c_List_Oset(tc_List_Olist(_u17408)), _u17410))) )).
% 29.00/29.21 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u17408, _u17410) = c_List_Olist_ONil(tc_List_Olist(_u17408))) | ( skolem401(_u17410, _u17408) != c_List_Olist_ONil(_u17408)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17411), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17412))), c_List_Otranspose(_u17412, _u17413)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17412)), c_List_Otranspose(_u17412, _u17413)), _u17411) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17412), _u17412), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17412), tc_Nat_Onat, _u17412), c_List_Onth(_u17412)), _u17411)), hAPP(c_List_Ofilter(tc_List_Olist(_u17412), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17412)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17411)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17412)))), _u17413))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u17414, _u17415, _u17416) = hAPP(hAPP(c_List_Omap(tc_prod(_u17414, tc_Nat_Onat), _u17414), c_Product__Type_Ofst(_u17414, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17414, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17414, 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(_u17414, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17414, tc_Nat_Onat))), _u17416)), hAPP(hAPP(c_List_Ozip(_u17414, tc_Nat_Onat), _u17415), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17414)), _u17415)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17417, tc_Nat_Onat), _u17417), c_Product__Type_Ofst(_u17417, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17417, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17417, 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(_u17417, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17417, tc_Nat_Onat))), _u17418)), hAPP(hAPP(c_List_Ozip(_u17417, tc_Nat_Onat), _u17419), c_List_Oupt(_u17420, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17420), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17417)), _u17419)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17417, tc_Nat_Onat), _u17417), c_Product__Type_Ofst(_u17417, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17417, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17417, 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(_u17417, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u17417, 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(_u17417, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u17417, tc_Nat_Onat))), _u17420))), _u17418)), hAPP(hAPP(c_List_Ozip(_u17417, tc_Nat_Onat), _u17419), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17417)), _u17419)))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17421), _u17422) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17421, _u17422))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17423, _u17424)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17423), _u17424)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u17425, _u17426))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 29.00/29.21 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, _u17427), _u17428)) = c_List_Oupt(_u17427, _u17428)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17429), _u17430)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u17429, _u17430)) = _u17429) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 29.00/29.21 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), _u17431), _u17432)), _u17433)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u17432), c_List_Oupt(_u17431, _u17433)) = c_List_Oupt(_u17431, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17431), _u17432))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u17434), c_List_Oupt(_u17435, _u17436)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17435), _u17434), _u17436)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17439), _u17441)) | ( c_List_Oupt(_u17439, _u17441) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17439), c_List_Oupt(hAPP(c_Nat_OSuc, _u17439), _u17441))) )).
% 29.00/29.21 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17440), _u17442)) | ( c_List_Oupt(_u17440, _u17442) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17443), _u17444)) | ( c_List_Oupt(_u17443, _u17444) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17443), c_List_Oupt(hAPP(c_Nat_OSuc, _u17443), _u17444))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u17447, _u17449) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17449 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17449), _u17447)) )).
% 29.00/29.21 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u17448, _u17450) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17450 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u17448, _u17450) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17450), _u17448)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17451), _u17452)) | ( c_List_Oupt(_u17451, hAPP(c_Nat_OSuc, _u17452)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17451, _u17452)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17452), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17455), _u17457)) | ( c_List_Oupt(_u17455, hAPP(c_Nat_OSuc, _u17457)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17455, _u17457)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17457), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 29.00/29.21 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17456), _u17458)) | ( c_List_Oupt(_u17456, hAPP(c_Nat_OSuc, _u17458)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u17459, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17460), _u17461)) | ( c_List_Oupt(_u17461, _u17460) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17462), _u17463)) | ( c_List_Oupt(_u17462, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17463), _u17464)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17462, _u17463)), c_List_Oupt(_u17463, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17463), _u17464)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u17465, _u17466)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17466), _u17465)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 29.00/29.21 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), _u17469)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17471))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17469), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17471)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17469)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17469)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17471)))) )).
% 29.00/29.21 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), _u17470)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17472))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17470), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17472)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u17477, _u17479) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17481), _u17483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17477), _u17479)) )).
% 29.00/29.21 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u17477, _u17479) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17481), _u17483)) | ( _u17477 = _u17481) )).
% 29.00/29.21 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u17477, _u17479) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17481), _u17483)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17477), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17479) = _u17483) )).
% 29.00/29.21 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17478), _u17480)) | ( _u17478 != _u17482) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17478), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17480) != _u17484) | ( c_List_Oupt(_u17478, _u17480) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17482), _u17484)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17485), _u17486)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u17485, _u17486)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17486), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u17487, _u17488)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u17487), hAPP(c_Nat_OSuc, _u17488))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u17489, _u17490) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17489, hAPP(c_Nat_OSuc, _u17490)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u17491) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17491))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 29.00/29.21 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), _u17492), _u17493)), _u17494)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u17492, _u17494)), _u17493) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17492), _u17493)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u17495, _u17496) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u17495), hAPP(c_Nat_OSuc, _u17496)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u17497, _u17498) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u17497), _u17498))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u17499) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u17499)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17500), hAPP(c_List_Onth(_u17500), _u17501)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17500)), _u17501))) = _u17501) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17502) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17502), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17502), _u17503), c_List_Oupt(_u17504, _u17505))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u17502), _u17503), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17504, _u17505)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17506) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u17506), _u17507), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17508, _u17509))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17506), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17506), _u17507), c_List_Oupt(_u17508, _u17509)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17511), _u17512))) | ( hAPP(hAPP(c_List_Onth(_u17513), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17513), _u17514), c_List_Oupt(_u17512, _u17511))), _u17510) = hAPP(_u17514, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17512), _u17510))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose__rectangle-1, axiom, ( ( _u17516 = c_List_Olist_ONil(tc_List_Olist(_u17517))) | ( c_List_Otranspose(_u17517, _u17516) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17517), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17517)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17517), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17517), tc_fun(tc_Nat_Onat, _u17517), tc_Nat_Onat), c_List_Onth(_u17517)), hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17518))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem402(_u17518, _u17517, _u17516)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516))) )).
% 29.00/29.21 cnf(fact_transpose__rectangle-2, axiom, ( ( _u17516 = c_List_Olist_ONil(tc_List_Olist(_u17517))) | ( c_List_Otranspose(_u17517, _u17516) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17517), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17517)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17517), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17517), tc_fun(tc_Nat_Onat, _u17517), tc_Nat_Onat), c_List_Onth(_u17517)), hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17518))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17517)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516), skolem402(_u17518, _u17517, _u17516))) != _u17518) )).
% 29.00/29.21 cnf(fact_transpose__rectangle-3, axiom, ( ( _u17518 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u17517, _u17516) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17517), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17517)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17517), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17517), tc_fun(tc_Nat_Onat, _u17517), tc_Nat_Onat), c_List_Onth(_u17517)), hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17518))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem402(_u17518, _u17517, _u17516)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516))) )).
% 29.00/29.21 cnf(fact_transpose__rectangle-4, axiom, ( ( _u17518 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u17517, _u17516) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17517), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17517)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17517), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17517), tc_fun(tc_Nat_Onat, _u17517), tc_Nat_Onat), c_List_Onth(_u17517)), hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17518))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17517)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516), skolem402(_u17518, _u17517, _u17516))) != _u17518) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u17519), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17519)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17519))), c_List_Otranspose(_u17519, _u17520), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17519))), hAPP(c_List_Ofilter(tc_List_Olist(_u17519), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17519)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17519), tc_List_Olist(_u17519), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17519)))), _u17520))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u17521, _u17522, _u17523, hAPP(hAPP(c_List_Oappend(_u17521), _u17524), _u17525), _u17526) = c_List_Ofoldr(_u17521, _u17522, _u17523, _u17524, c_List_Ofoldr(_u17521, _u17522, _u17523, _u17525, _u17526))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u17527, _u17528, _u17529, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17530), _u17531), _u17532) = hAPP(hAPP(_u17529, _u17530), c_List_Ofoldr(_u17527, _u17528, _u17529, _u17531, _u17532))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u17533, _u17534, _u17535, c_List_Olist_ONil(_u17533), _u17536) = _u17536) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u17537) | ( c_List_Ofoldr(_u17537, _u17537, c_Groups_Oplus__class_Oplus(_u17537), _u17538, _u17539) = hAPP(c_List_Ofoldl(_u17537, _u17537, c_Groups_Oplus__class_Oplus(_u17537), _u17539), _u17538)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u17540, _u17541, _u17542, hAPP(hAPP(c_List_Omap(_u17543, _u17540), _u17544), _u17545), _u17546) = c_List_Ofoldr(_u17543, _u17541, hAPP(c_Fun_Ocomp(_u17540, tc_fun(_u17541, _u17541), _u17543, _u17542), _u17544), _u17545, _u17546)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u17547) | ( hAPP(c_List_Ofoldl(_u17547, _u17547, c_Groups_Oplus__class_Oplus(_u17547), c_Groups_Ozero__class_Ozero(_u17547)), _u17548) = c_List_Ofoldr(_u17547, _u17547, c_Groups_Oplus__class_Oplus(_u17547), _u17548, c_Groups_Ozero__class_Ozero(_u17547))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u17549) | ( hAPP(c_List_Ofoldl(_u17549, _u17549, c_Groups_Oplus__class_Oplus(_u17549), _u17550), _u17551) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17549), _u17550), c_List_Ofoldr(_u17549, _u17549, c_Groups_Oplus__class_Oplus(_u17549), _u17551, c_Groups_Ozero__class_Ozero(_u17549)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17552))), c_List_Otranspose(_u17552, _u17553)) = c_List_Ofoldr(tc_List_Olist(_u17552), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17552)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17552))), _u17553, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17554)), _u17555))), c_List_Ofoldr(tc_List_Olist(_u17556), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17556)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17556))), _u17557, 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(_u17554)), _u17555)), c_List_Ofoldr(tc_List_Olist(_u17556), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17556)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17556), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17556)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17556)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u17556), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17556)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17556), tc_List_Olist(_u17556), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17556)))), _u17557), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17558)), c_List_Oremdups(_u17558, c_List_Oconcat(_u17558, _u17559))) = hAPP(c_Finite__Set_Ocard(_u17558), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17558), tc_fun(_u17558, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17558)), _u17559)), c_List_Oset(_u17558)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17560) | ~hBOOL(hAPP(hAPP(c_member(_u17561), _u17562), hAPP(c_List_Oset(_u17561), _u17563))) | ~c_List_Olinorder__class_Osorted(_u17560, hAPP(hAPP(c_List_Omap(_u17561, _u17560), _u17564), _u17563)) | ( hAPP(c_List_Ohd(_u17561), hAPP(c_List_Ofilter(_u17561, hAPP(hAPP(c_COMBB(_u17560, tc_HOL_Obool, _u17561), hAPP(c_fequal, hAPP(_u17564, _u17562))), _u17564)), _u17563)) != _u17562) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17561, _u17560, _u17564), _u17562), c_List_Oremove1(_u17561, _u17562, _u17563)) = _u17563) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u17565) | c_List_Olinorder__class_Osorted(_u17565, c_List_Olist_ONil(_u17565)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u17566), c_List_Oremdups(_u17566, _u17567))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u17568) | c_List_Olinorder__class_Osorted(_u17568, hAPP(hAPP(c_List_Olist_OCons(_u17568), _u17569), c_List_Olist_ONil(_u17568))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17570)), c_List_Oremdups(_u17570, _u17571))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17570)), _u17571))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u17572) | ( _u17573 = c_List_Olist_ONil(_u17572)) | ~c_List_Olinorder__class_Osorted(_u17572, _u17573) | c_List_Olinorder__class_Osorted(_u17572, c_List_Obutlast(_u17572, _u17573)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u17574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17574), _u17575), _u17576)) | ~c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17576), _u17577)) | c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17576), _u17577))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u17578) | ~c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17579), hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17578), _u17579), _u17580)) )).
% 29.00/29.21 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u17578) | ~c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17579), hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581))) | c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581)) )).
% 29.00/29.21 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u17578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17578), _u17579), _u17580)) | ~c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581)) | c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17579), hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u17582, c_List_Olist_ONil(_u17582)) = c_List_Olist_ONil(_u17582)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17583) | c_List_Olinorder__class_Osorted(_u17583, c_List_Olist_ONil(_u17583)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u17586) != c_List_Oremdups(_u17586, _u17588)) | ( _u17588 = c_List_Olist_ONil(_u17586)) )).
% 29.00/29.21 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u17589 != c_List_Olist_ONil(_u17587)) | ( c_List_Olist_ONil(_u17587) = c_List_Oremdups(_u17587, _u17589)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u17592, _u17594) != c_List_Olist_ONil(_u17592)) | ( _u17594 = c_List_Olist_ONil(_u17592)) )).
% 29.00/29.21 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u17595 != c_List_Olist_ONil(_u17593)) | ( c_List_Oremdups(_u17593, _u17595) = c_List_Olist_ONil(_u17593)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u17596) | ~c_List_Olinorder__class_Osorted(_u17596, _u17597) | c_List_Olinorder__class_Osorted(_u17596, hAPP(hAPP(c_List_Odrop(_u17596), _u17598), _u17597)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u17599) | ~c_List_Olinorder__class_Osorted(_u17599, _u17600) | c_List_Olinorder__class_Osorted(_u17599, hAPP(hAPP(c_List_Otake(_u17599), _u17601), _u17600)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u17604, _u17606) != _u17606) | hBOOL(hAPP(c_List_Odistinct(_u17604), _u17606)) )).
% 29.00/29.21 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17605), _u17607)) | ( c_List_Oremdups(_u17605, _u17607) = _u17607) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17608), _u17609)) | ( c_List_Oremdups(_u17608, _u17609) = _u17609) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u17610) | ~c_List_Olinorder__class_Osorted(_u17610, _u17611) | ~hBOOL(hAPP(c_List_Odistinct(_u17610), _u17611)) | ~c_List_Olinorder__class_Osorted(_u17610, _u17612) | ~hBOOL(hAPP(c_List_Odistinct(_u17610), _u17612)) | ( hAPP(c_List_Oset(_u17610), _u17611) != hAPP(c_List_Oset(_u17610), _u17612)) | ( _u17611 = _u17612) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u17613) | ~c_List_Olinorder__class_Osorted(_u17613, hAPP(hAPP(c_List_Omap(_u17614, _u17613), _u17615), _u17616)) | c_List_Olinorder__class_Osorted(_u17613, hAPP(hAPP(c_List_Omap(_u17614, _u17613), _u17615), hAPP(c_List_Ofilter(_u17614, _u17617), _u17616))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u17618, hAPP(hAPP(c_List_Omap(_u17619, _u17618), _u17620), c_List_Oremdups(_u17619, _u17621))) = c_List_Oremdups(_u17618, hAPP(hAPP(c_List_Omap(_u17619, _u17618), _u17620), _u17621))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u17622) | c_List_Olinorder__class_Osorted(_u17622, hAPP(hAPP(c_List_Omap(_u17623, _u17622), _u17624), hAPP(c_List_Ofilter(_u17623, hAPP(hAPP(c_COMBC(_u17623, _u17622, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u17622, tc_fun(_u17622, tc_HOL_Obool), _u17623), c_fequal), _u17624)), hAPP(_u17625, _u17626))), _u17626))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17627) | ~c_List_Olinorder__class_Osorted(_u17627, hAPP(hAPP(c_List_Omap(_u17628, _u17627), _u17629), _u17630)) | c_List_Olinorder__class_Osorted(_u17627, hAPP(hAPP(c_List_Omap(_u17628, _u17627), _u17629), c_List_Oremove1(_u17628, _u17631, _u17630))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u17632) | ~c_List_Olinorder__class_Osorted(_u17632, hAPP(hAPP(c_List_Omap(_u17633, _u17632), _u17634), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17633, _u17632, _u17634), _u17635), _u17636))) | c_List_Olinorder__class_Osorted(_u17632, hAPP(hAPP(c_List_Omap(_u17633, _u17632), _u17634), _u17636)) )).
% 29.00/29.21 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u17632) | ~c_List_Olinorder__class_Osorted(_u17632, hAPP(hAPP(c_List_Omap(_u17633, _u17632), _u17634), _u17636)) | c_List_Olinorder__class_Osorted(_u17632, hAPP(hAPP(c_List_Omap(_u17633, _u17632), _u17634), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17633, _u17632, _u17634), _u17635), _u17636))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u17637) | ~c_List_Olinorder__class_Osorted(_u17637, hAPP(hAPP(c_List_Omap(_u17638, _u17637), _u17639), _u17640)) | c_List_Olinorder__class_Osorted(_u17637, hAPP(hAPP(c_List_Omap(_u17638, _u17637), _u17639), c_List_Olinorder__class_Oinsort__insert__key(_u17638, _u17637, _u17639, _u17641, _u17640))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u17642) | c_List_Olinorder__class_Osorted(_u17642, hAPP(c_List_Ofilter(_u17642, hAPP(hAPP(c_COMBC(_u17642, _u17642, tc_HOL_Obool), c_fequal), hAPP(_u17643, _u17644))), _u17644)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u17645, hAPP(c_List_Ofilter(_u17645, _u17646), _u17647)) = hAPP(c_List_Ofilter(_u17645, _u17646), c_List_Oremdups(_u17645, _u17647))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u17648), c_List_Oremdups(_u17648, _u17649)) = hAPP(c_List_Oset(_u17648), _u17649)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u17650, _u17651, c_List_Oremdups(_u17650, _u17652)) = c_List_Oremdups(_u17650, c_List_Oinsert(_u17650, _u17651, _u17652))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17655)), c_List_Oremdups(_u17655, _u17657)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17655)), _u17657)) | ( c_List_Oremdups(_u17655, _u17657) = _u17657) )).
% 29.00/29.21 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u17656, _u17658) != _u17658) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17656)), c_List_Oremdups(_u17656, _u17658)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17656)), _u17658)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17659) | ~c_List_Olinorder__class_Osorted(_u17659, _u17660) | c_List_Olinorder__class_Osorted(_u17659, c_List_Olinorder__class_Oinsort__insert__key(_u17659, _u17659, c_COMBI(_u17659), _u17661, _u17660)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u17662, _u17663)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u17664) | ~c_List_Olinorder__class_Osorted(_u17664, _u17665) | c_List_Olinorder__class_Osorted(_u17664, hAPP(c_List_Otl(_u17664), _u17665)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u17666, c_List_Oremdups(_u17666, _u17667)) = c_List_Oremdups(_u17666, _u17667)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u17668) | ~c_List_Olinorder__class_Osorted(_u17668, _u17669) | c_List_Olinorder__class_Osorted(_u17668, c_List_Oremdups(_u17668, _u17669)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17670) | ~c_List_Olinorder__class_Osorted(_u17670, _u17671) | c_List_Olinorder__class_Osorted(_u17670, c_List_Oremove1(_u17670, _u17672, _u17671)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17673) | ~c_List_Olinorder__class_Osorted(_u17673, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17673, _u17673, c_COMBI(_u17673)), _u17674), _u17675)) | c_List_Olinorder__class_Osorted(_u17673, _u17675) )).
% 29.00/29.21 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u17673) | ~c_List_Olinorder__class_Osorted(_u17673, _u17675) | c_List_Olinorder__class_Osorted(_u17673, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17673, _u17673, c_COMBI(_u17673)), _u17674), _u17675)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u17676, _u17677)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17678), _u17679)) | ( c_List_Oremove1(_u17678, _u17680, c_List_Oremdups(_u17678, _u17679)) = c_List_Oremdups(_u17678, c_List_Oremove1(_u17678, _u17680, _u17679))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u17683) | ~c_List_Olinorder__class_Osorted(_u17683, hAPP(hAPP(c_List_Olist_OCons(_u17683), _u17684), _u17685)) | c_List_Olinorder__class_Osorted(_u17683, _u17685) )).
% 29.00/29.21 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u17683) | ~c_List_Olinorder__class_Osorted(_u17683, hAPP(hAPP(c_List_Olist_OCons(_u17683), _u17684), _u17685)) | ~hBOOL(hAPP(hAPP(c_member(_u17683), _u17681), hAPP(c_List_Oset(_u17683), _u17685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17683), _u17684), _u17681)) )).
% 29.00/29.21 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u17683) | c_List_Olinorder__class_Osorted(_u17683, hAPP(hAPP(c_List_Olist_OCons(_u17683), _u17684), _u17685)) | ~c_List_Olinorder__class_Osorted(_u17683, _u17685) | hBOOL(hAPP(hAPP(c_member(_u17683), skolem403(_u17685, _u17684, _u17683)), hAPP(c_List_Oset(_u17683), _u17685))) )).
% 29.00/29.21 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u17683) | c_List_Olinorder__class_Osorted(_u17683, hAPP(hAPP(c_List_Olist_OCons(_u17683), _u17684), _u17685)) | ~c_List_Olinorder__class_Osorted(_u17683, _u17685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17683), _u17684), skolem403(_u17685, _u17684, _u17683))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u17690) | ~c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | c_List_Olinorder__class_Osorted(_u17690, _u17691) )).
% 29.00/29.21 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u17690) | ~c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | c_List_Olinorder__class_Osorted(_u17690, _u17692) )).
% 29.00/29.21 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u17690) | ~c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | ~hBOOL(hAPP(hAPP(c_member(_u17690), _u17687), hAPP(c_List_Oset(_u17690), _u17691))) | ~hBOOL(hAPP(hAPP(c_member(_u17690), _u17686), hAPP(c_List_Oset(_u17690), _u17692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17690), _u17687), _u17686)) )).
% 29.00/29.21 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u17690) | c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | ~c_List_Olinorder__class_Osorted(_u17690, _u17691) | ~c_List_Olinorder__class_Osorted(_u17690, _u17692) | hBOOL(hAPP(hAPP(c_member(_u17690), skolem404(_u17692, _u17691, _u17690)), hAPP(c_List_Oset(_u17690), _u17691))) )).
% 29.00/29.21 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u17690) | c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | ~c_List_Olinorder__class_Osorted(_u17690, _u17691) | ~c_List_Olinorder__class_Osorted(_u17690, _u17692) | hBOOL(hAPP(hAPP(c_member(_u17690), skolem405(_u17692, _u17691, _u17690)), hAPP(c_List_Oset(_u17690), _u17692))) )).
% 29.00/29.21 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u17690) | c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | ~c_List_Olinorder__class_Osorted(_u17690, _u17691) | ~c_List_Olinorder__class_Osorted(_u17690, _u17692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17690), skolem404(_u17692, _u17691, _u17690)), skolem405(_u17692, _u17691, _u17690))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17693) | ~c_List_Olinorder__class_Osorted(_u17693, hAPP(hAPP(c_List_Omap(_u17694, _u17693), _u17695), _u17696)) | ~hBOOL(hAPP(_u17697, _u17698)) | ( hAPP(c_List_Ofilter(_u17694, _u17697), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17694, _u17693, _u17695), _u17698), _u17696)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17694, _u17693, _u17695), _u17698), hAPP(c_List_Ofilter(_u17694, _u17697), _u17696))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17702), _u17704), hAPP(c_List_Oset(_u17702), _u17706))) | ( c_List_Oremdups(_u17702, hAPP(hAPP(c_List_Olist_OCons(_u17702), _u17704), _u17706)) = c_List_Oremdups(_u17702, _u17706)) )).
% 29.00/29.21 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17703), _u17705), hAPP(c_List_Oset(_u17703), _u17707))) | ( c_List_Oremdups(_u17703, hAPP(hAPP(c_List_Olist_OCons(_u17703), _u17705), _u17707)) = hAPP(hAPP(c_List_Olist_OCons(_u17703), _u17705), c_List_Oremdups(_u17703, _u17707))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17708)), c_List_Oremdups(_u17708, _u17709)) = hAPP(c_Finite__Set_Ocard(_u17708), hAPP(c_List_Oset(_u17708), _u17709))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17712) | ~c_List_Olinorder__class_Osorted(_u17712, hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17713), _u17714)) | ~hBOOL(hAPP(hAPP(c_member(_u17712), _u17710), hAPP(c_List_Oset(_u17712), _u17714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17712), _u17713), _u17710)) )).
% 29.00/29.21 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u17712) | ~c_List_Olinorder__class_Osorted(_u17712, hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17713), _u17714)) | c_List_Olinorder__class_Osorted(_u17712, _u17714) )).
% 29.00/29.21 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u17712) | c_List_Olinorder__class_Osorted(_u17712, hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17713), _u17714)) | ~c_List_Olinorder__class_Osorted(_u17712, _u17714) | hBOOL(hAPP(hAPP(c_member(_u17712), skolem406(_u17714, _u17713, _u17712)), hAPP(c_List_Oset(_u17712), _u17714))) )).
% 29.00/29.21 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u17712) | c_List_Olinorder__class_Osorted(_u17712, hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17713), _u17714)) | ~c_List_Olinorder__class_Osorted(_u17712, _u17714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17712), _u17713), skolem406(_u17714, _u17713, _u17712))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u17715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17715), _u17716)) | ( hAPP(c_List_Oset(_u17715), c_List_Olinorder__class_Osorted__list__of__set(_u17715, _u17716)) = _u17716) )).
% 29.00/29.21 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u17715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17715), _u17716)) | c_List_Olinorder__class_Osorted(_u17715, c_List_Olinorder__class_Osorted__list__of__set(_u17715, _u17716)) )).
% 29.00/29.21 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u17715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17715), _u17716)) | hBOOL(hAPP(c_List_Odistinct(_u17715), c_List_Olinorder__class_Osorted__list__of__set(_u17715, _u17716))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17717) | ~hBOOL(hAPP(hAPP(c_member(_u17717), _u17718), hAPP(c_List_Oset(_u17717), _u17719))) | ~c_List_Olinorder__class_Osorted(_u17717, _u17719) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17717, _u17717, c_COMBI(_u17717)), _u17718), c_List_Oremove1(_u17717, _u17718, _u17719)) = _u17719) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u17724) | ~c_List_Olinorder__class_Osorted(_u17724, _u17725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17721), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17724)), _u17725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17720), _u17721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17724), hAPP(hAPP(c_List_Onth(_u17724), _u17725), _u17720)), hAPP(hAPP(c_List_Onth(_u17724), _u17725), _u17721))) )).
% 29.00/29.21 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u17724) | c_List_Olinorder__class_Osorted(_u17724, _u17725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem407(_u17725, _u17724)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17724)), _u17725))) )).
% 29.00/29.21 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u17724) | c_List_Olinorder__class_Osorted(_u17724, _u17725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem408(_u17725, _u17724)), skolem407(_u17725, _u17724))) )).
% 29.00/29.21 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u17724) | c_List_Olinorder__class_Osorted(_u17724, _u17725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17724), hAPP(hAPP(c_List_Onth(_u17724), _u17725), skolem408(_u17725, _u17724))), hAPP(hAPP(c_List_Onth(_u17724), _u17725), skolem407(_u17725, _u17724)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u17726) | ~c_List_Olinorder__class_Osorted(_u17726, _u17727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17728), _u17729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17729), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17726)), _u17727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17726), hAPP(hAPP(c_List_Onth(_u17726), _u17727), _u17728)), hAPP(hAPP(c_List_Onth(_u17726), _u17727), _u17729))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u17730) | ~c_Fun_Oinj__on(_u17731, _u17730, _u17732, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17731, tc_HOL_Obool)), hAPP(c_List_Oset(_u17731), _u17733)), hAPP(c_List_Oset(_u17731), _u17734))) | ~c_List_Olinorder__class_Osorted(_u17730, hAPP(hAPP(c_List_Omap(_u17731, _u17730), _u17732), _u17733)) | ~hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(hAPP(c_List_Omap(_u17731, _u17730), _u17732), _u17733))) | ~c_List_Olinorder__class_Osorted(_u17730, hAPP(hAPP(c_List_Omap(_u17731, _u17730), _u17732), _u17734)) | ~hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(hAPP(c_List_Omap(_u17731, _u17730), _u17732), _u17734))) | ( hAPP(c_List_Oset(_u17731), _u17733) != hAPP(c_List_Oset(_u17731), _u17734)) | ( _u17733 = _u17734) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17735), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17735))), _u17736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17737), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17735))), _u17736))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17735), _u17735), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17735), tc_Nat_Onat, _u17735), c_List_Onth(_u17735)), _u17737)), hAPP(c_List_Ofilter(tc_List_Olist(_u17735), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17735)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17737)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17735)))), c_List_Otranspose(_u17735, _u17736))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17735)), _u17736), _u17737)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17738), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17738))), _u17739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17738))), c_List_Otranspose(_u17738, _u17739)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17741), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17738))), hAPP(c_List_Ofilter(tc_List_Olist(_u17738), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17738)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17740)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)))), _u17739)))) | ( hAPP(hAPP(c_List_Onth(_u17738), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17738)), c_List_Otranspose(_u17738, _u17739)), _u17740)), _u17741) = hAPP(hAPP(c_List_Onth(_u17738), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17738)), _u17739), _u17741)), _u17740)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u17742), tc_List_Olist(_u17742), c_List_Orev(_u17742), _u17743) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u17749, _u17751, _u17753, hAPP(c_List_Orev(_u17749), _u17755), _u17757) | c_List_Olist__all2(_u17749, _u17751, _u17753, _u17755, hAPP(c_List_Orev(_u17751), _u17757)) )).
% 29.00/29.21 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u17750, _u17752, _u17754, _u17756, hAPP(c_List_Orev(_u17752), _u17758)) | c_List_Olist__all2(_u17750, _u17752, _u17754, hAPP(c_List_Orev(_u17750), _u17756), _u17758) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u17764, _u17766, _u17768, hAPP(c_List_Orev(_u17764), _u17770), hAPP(c_List_Orev(_u17766), _u17772)) | c_List_Olist__all2(_u17764, _u17766, _u17768, _u17770, _u17772) )).
% 29.00/29.21 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u17765, _u17767, _u17769, _u17771, _u17773) | c_List_Olist__all2(_u17765, _u17767, _u17769, hAPP(c_List_Orev(_u17765), _u17771), hAPP(c_List_Orev(_u17767), _u17773)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17774) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17774), hAPP(c_List_Orev(_u17774), _u17775)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17774), _u17775)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u17781 = _u17783) | ( hAPP(c_List_Orev(_u17779), _u17781) != hAPP(c_List_Orev(_u17779), _u17783)) )).
% 29.00/29.21 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u17782 != _u17784) | ( hAPP(c_List_Orev(_u17780), _u17782) = hAPP(c_List_Orev(_u17780), _u17784)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u17788), _u17790) != _u17792) | ( _u17790 = hAPP(c_List_Orev(_u17788), _u17792)) )).
% 29.00/29.21 cnf(fact_rev__swap-2, axiom, ( ( _u17791 != hAPP(c_List_Orev(_u17789), _u17793)) | ( hAPP(c_List_Orev(_u17789), _u17791) = _u17793) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u17794), hAPP(c_List_Orev(_u17794), _u17795)) = _u17795) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17796)), hAPP(c_List_Orev(_u17796), _u17797)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17796)), _u17797)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17798)), _u17799) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17800)), _u17801)) | ( hAPP(hAPP(c_List_Ozip(_u17798, _u17800), hAPP(c_List_Orev(_u17798), _u17799)), hAPP(c_List_Orev(_u17800), _u17801)) = hAPP(c_List_Orev(tc_prod(_u17798, _u17800)), hAPP(hAPP(c_List_Ozip(_u17798, _u17800), _u17799), _u17801))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u17802), hAPP(c_List_Orev(_u17802), _u17803)) = hAPP(c_List_Oset(_u17802), _u17803)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u17804), hAPP(c_List_Ofilter(_u17804, _u17805), _u17806)) = hAPP(c_List_Ofilter(_u17804, _u17805), hAPP(c_List_Orev(_u17804), _u17806))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u17807), c_List_Oconcat(_u17807, _u17808)) = c_List_Oconcat(_u17807, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17807), tc_List_Olist(_u17807)), c_List_Orev(_u17807)), hAPP(c_List_Orev(tc_List_Olist(_u17807)), _u17808)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u17809), hAPP(hAPP(c_List_Omap(_u17810, _u17809), _u17811), _u17812)) = hAPP(hAPP(c_List_Omap(_u17810, _u17809), _u17811), hAPP(c_List_Orev(_u17810), _u17812))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17815), hAPP(c_List_Orev(_u17815), _u17817))) | hBOOL(hAPP(c_List_Odistinct(_u17815), _u17817)) )).
% 29.00/29.21 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17816), _u17818)) | hBOOL(hAPP(c_List_Odistinct(_u17816), hAPP(c_List_Orev(_u17816), _u17818))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u17821), _u17823) != c_List_Olist_ONil(_u17821)) | ( _u17823 = c_List_Olist_ONil(_u17821)) )).
% 29.00/29.21 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u17824 != c_List_Olist_ONil(_u17822)) | ( hAPP(c_List_Orev(_u17822), _u17824) = c_List_Olist_ONil(_u17822)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u17827) != hAPP(c_List_Orev(_u17827), _u17829)) | ( _u17829 = c_List_Olist_ONil(_u17827)) )).
% 29.00/29.21 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u17830 != c_List_Olist_ONil(_u17828)) | ( c_List_Olist_ONil(_u17828) = hAPP(c_List_Orev(_u17828), _u17830)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u17831), c_List_Olist_ONil(_u17831)) = c_List_Olist_ONil(_u17831)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u17835), _u17837) != hAPP(hAPP(c_List_Olist_OCons(_u17835), _u17839), c_List_Olist_ONil(_u17835))) | ( _u17837 = hAPP(hAPP(c_List_Olist_OCons(_u17835), _u17839), c_List_Olist_ONil(_u17835))) )).
% 29.00/29.21 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u17838 != hAPP(hAPP(c_List_Olist_OCons(_u17836), _u17840), c_List_Olist_ONil(_u17836))) | ( hAPP(c_List_Orev(_u17836), _u17838) = hAPP(hAPP(c_List_Olist_OCons(_u17836), _u17840), c_List_Olist_ONil(_u17836))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17844), _u17846), c_List_Olist_ONil(_u17844)) != hAPP(c_List_Orev(_u17844), _u17848)) | ( _u17848 = hAPP(hAPP(c_List_Olist_OCons(_u17844), _u17846), c_List_Olist_ONil(_u17844))) )).
% 29.00/29.21 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u17849 != hAPP(hAPP(c_List_Olist_OCons(_u17845), _u17847), c_List_Olist_ONil(_u17845))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17845), _u17847), c_List_Olist_ONil(_u17845)) = hAPP(c_List_Orev(_u17845), _u17849)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u17850), hAPP(hAPP(c_List_Oappend(_u17850), _u17851), _u17852)) = hAPP(hAPP(c_List_Oappend(_u17850), hAPP(c_List_Orev(_u17850), _u17852)), hAPP(c_List_Orev(_u17850), _u17851))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u17853, _u17854, _u17855, _u17856, _u17857) = hAPP(c_List_Ofoldl(_u17854, _u17853, hAPP(c_COMBC(_u17853, _u17854, _u17854), _u17855), _u17857), hAPP(c_List_Orev(_u17853), _u17856))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17858, _u17859, _u17860, _u17861), _u17862) = c_List_Ofoldr(_u17859, _u17858, hAPP(c_COMBC(_u17858, _u17859, _u17858), _u17860), hAPP(c_List_Orev(_u17859), _u17862), _u17861)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u17867), _u17869) != hAPP(hAPP(c_List_Olist_OCons(_u17867), _u17871), _u17873)) | ( _u17869 = hAPP(hAPP(c_List_Oappend(_u17867), hAPP(c_List_Orev(_u17867), _u17873)), hAPP(hAPP(c_List_Olist_OCons(_u17867), _u17871), c_List_Olist_ONil(_u17867)))) )).
% 29.00/29.21 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u17870 != hAPP(hAPP(c_List_Oappend(_u17868), hAPP(c_List_Orev(_u17868), _u17874)), hAPP(hAPP(c_List_Olist_OCons(_u17868), _u17872), c_List_Olist_ONil(_u17868)))) | ( hAPP(c_List_Orev(_u17868), _u17870) = hAPP(hAPP(c_List_Olist_OCons(_u17868), _u17872), _u17874)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u17875), hAPP(hAPP(c_List_Olist_OCons(_u17875), _u17876), _u17877)) = hAPP(hAPP(c_List_Oappend(_u17875), hAPP(c_List_Orev(_u17875), _u17877)), hAPP(hAPP(c_List_Olist_OCons(_u17875), _u17876), c_List_Olist_ONil(_u17875)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_last__rev-1, axiom, ( ( _u17878 = c_List_Olist_ONil(_u17879)) | ( c_List_Olast(_u17879, hAPP(c_List_Orev(_u17879), _u17878)) = hAPP(c_List_Ohd(_u17879), _u17878)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_hd__rev-1, axiom, ( ( _u17880 = c_List_Olist_ONil(_u17881)) | ( hAPP(c_List_Ohd(_u17881), hAPP(c_List_Orev(_u17881), _u17880)) = c_List_Olast(_u17881, _u17880)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17882), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17882))), c_List_Otranspose(_u17882, _u17883)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u17884), _u17885) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17884), _u17884, hAPP(c_COMBC(_u17884, tc_List_Olist(_u17884), tc_List_Olist(_u17884)), c_List_Olist_OCons(_u17884)), c_List_Olist_ONil(_u17884)), _u17885)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u17886), hAPP(hAPP(c_List_Otake(_u17886), _u17887), _u17888)) = hAPP(hAPP(c_List_Odrop(_u17886), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17886)), _u17888)), _u17887)), hAPP(c_List_Orev(_u17886), _u17888))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u17889), hAPP(hAPP(c_List_Odrop(_u17889), _u17890), _u17891)) = hAPP(hAPP(c_List_Otake(_u17889), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17889)), _u17891)), _u17890)), hAPP(c_List_Orev(_u17889), _u17891))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u17892, _u17893), hAPP(c_List_Orev(_u17892), _u17894)) = hAPP(c_List_Orev(_u17892), hAPP(c_List_Orotate(_u17892, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17892)), _u17894)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17893, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17892)), _u17894)))), _u17894))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17895), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17896)), _u17897))) | ( hAPP(hAPP(c_List_Onth(_u17896), hAPP(c_List_Orev(_u17896), _u17897)), _u17895) = hAPP(hAPP(c_List_Onth(_u17896), _u17897), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17896)), _u17897)), hAPP(c_Nat_OSuc, _u17895)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17898), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17899)), _u17900))) | ( hAPP(c_List_Orev(_u17899), hAPP(hAPP(c_List_Olist__update(_u17899, _u17900), _u17898), _u17901)) = hAPP(hAPP(c_List_Olist__update(_u17899, hAPP(c_List_Orev(_u17899), _u17900)), 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(_u17899)), _u17900)), _u17898)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17901)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u17902) | ~c_List_Olinorder__class_Osorted(_u17902, hAPP(c_List_Orev(_u17902), _u17903)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17904), _u17905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17905), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17902)), _u17903))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17902), hAPP(hAPP(c_List_Onth(_u17902), _u17903), _u17905)), hAPP(hAPP(c_List_Onth(_u17902), _u17903), _u17904))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u17906) | ~c_List_Olinorder__class_Osorted(_u17906, hAPP(c_List_Orev(_u17906), _u17907)) | ( _u17907 != c_List_Olist_ONil(_u17906)) | ( c_List_Ofoldr(_u17906, _u17906, c_Orderings_Oord__class_Omax(_u17906), _u17907, _u17908) = _u17908) )).
% 29.00/29.21 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u17906) | ~c_List_Olinorder__class_Osorted(_u17906, hAPP(c_List_Orev(_u17906), _u17907)) | ( _u17907 = c_List_Olist_ONil(_u17906)) | ( c_List_Ofoldr(_u17906, _u17906, c_Orderings_Oord__class_Omax(_u17906), _u17907, _u17908) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17906), hAPP(hAPP(c_List_Onth(_u17906), _u17907), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u17908)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17909), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17909))), _u17910))) | ( _u17910 != c_List_Olist_ONil(tc_List_Olist(_u17909))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17909))), c_List_Otranspose(_u17909, _u17910)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21 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(_u17909), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17909))), _u17910))) | ( _u17910 = c_List_Olist_ONil(tc_List_Olist(_u17909))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17909))), c_List_Otranspose(_u17909, _u17910)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17909)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17909)), _u17910), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17911), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17911))), _u17912))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17913), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17911))), _u17912))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17911))), hAPP(c_List_Ofilter(tc_List_Olist(_u17911), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17911)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17913)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17911)))), c_List_Otranspose(_u17911, _u17912))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17911)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17911)), _u17912), _u17913))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17914), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17914))), _u17915))) | ( c_List_Otranspose(_u17914, c_List_Otranspose(_u17914, _u17915)) = c_List_OtakeWhile(tc_List_Olist(_u17914), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17914)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17914), tc_List_Olist(_u17914), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17914))), _u17915)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 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))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u17916) | ~c_List_Olinorder__class_Osorted(_u17916, _u17917) | c_List_Olinorder__class_Osorted(_u17916, c_List_OtakeWhile(_u17916, _u17918, _u17917)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u17919, _u17920, hAPP(hAPP(c_List_Omap(_u17921, _u17919), _u17922), _u17923)) = hAPP(hAPP(c_List_Omap(_u17921, _u17919), _u17922), c_List_OtakeWhile(_u17921, hAPP(c_Fun_Ocomp(_u17919, tc_HOL_Obool, _u17921, _u17920), _u17922), _u17923))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u17928, _u17930)) | ( c_List_OtakeWhile(_u17932, _u17928, hAPP(hAPP(c_List_Olist_OCons(_u17932), _u17930), _u17934)) = hAPP(hAPP(c_List_Olist_OCons(_u17932), _u17930), c_List_OtakeWhile(_u17932, _u17928, _u17934))) )).
% 29.00/29.21 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u17929, _u17931)) | ( c_List_OtakeWhile(_u17933, _u17929, hAPP(hAPP(c_List_Olist_OCons(_u17933), _u17931), _u17935)) = c_List_Olist_ONil(_u17933)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u17936, _u17937)) | ( c_List_OtakeWhile(_u17938, _u17936, hAPP(hAPP(c_List_Oappend(_u17938), _u17939), hAPP(hAPP(c_List_Olist_OCons(_u17938), _u17937), _u17940))) = c_List_OtakeWhile(_u17938, _u17936, _u17939)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u17941, _u17942, c_List_Olist_ONil(_u17941)) = c_List_Olist_ONil(_u17941)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u17943, _u17944, _u17945) = hAPP(hAPP(c_List_Otake(_u17943), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17943)), c_List_OtakeWhile(_u17943, _u17944, _u17945))), _u17945)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17946), _u17947)) | hBOOL(hAPP(c_List_Odistinct(_u17946), c_List_OtakeWhile(_u17946, _u17948, _u17947))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17949), _u17950), hAPP(c_List_Oset(_u17949), c_List_OtakeWhile(_u17949, _u17951, _u17952)))) | hBOOL(hAPP(hAPP(c_member(_u17949), _u17950), hAPP(c_List_Oset(_u17949), _u17952))) )).
% 29.00/29.21 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17949), _u17950), hAPP(c_List_Oset(_u17949), c_List_OtakeWhile(_u17949, _u17951, _u17952)))) | hBOOL(hAPP(_u17951, _u17950)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u17958, _u17960, _u17962) != _u17962) | ~hBOOL(hAPP(hAPP(c_member(_u17958), _u17953), hAPP(c_List_Oset(_u17958), _u17962))) | hBOOL(hAPP(_u17960, _u17953)) )).
% 29.00/29.21 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u17959, _u17961, _u17963) = _u17963) | hBOOL(hAPP(hAPP(c_member(_u17959), skolem409(_u17963, _u17961, _u17959)), hAPP(c_List_Oset(_u17959), _u17963))) )).
% 29.00/29.21 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u17959, _u17961, _u17963) = _u17963) | ~hBOOL(hAPP(_u17961, skolem409(_u17963, _u17961, _u17959))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17964, _u17965), _u17966), c_List_OtakeWhile(_u17965, _u17967, _u17968)) = c_List_OtakeWhile(tc_prod(_u17964, _u17965), hAPP(c_Fun_Ocomp(_u17965, tc_HOL_Obool, tc_prod(_u17964, _u17965), _u17967), c_Product__Type_Osnd(_u17964, _u17965)), hAPP(hAPP(c_List_Ozip(_u17964, _u17965), _u17966), _u17968))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17969, _u17970), c_List_OtakeWhile(_u17969, _u17971, _u17972)), _u17973) = c_List_OtakeWhile(tc_prod(_u17969, _u17970), hAPP(c_Fun_Ocomp(_u17969, tc_HOL_Obool, tc_prod(_u17969, _u17970), _u17971), c_Product__Type_Ofst(_u17969, _u17970)), hAPP(hAPP(c_List_Ozip(_u17969, _u17970), _u17972), _u17973))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17974)), c_List_OtakeWhile(_u17974, _u17975, _u17976))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17974)), _u17976))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u17977) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u17977)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17978), _u17979), hAPP(c_List_Oset(_u17978), _u17980))) | hBOOL(hAPP(_u17981, _u17979)) | ( c_List_OtakeWhile(_u17978, _u17981, hAPP(hAPP(c_List_Oappend(_u17978), _u17980), _u17982)) = c_List_OtakeWhile(_u17978, _u17981, _u17980)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 29.00/29.21 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(_u17983)), c_List_OtakeWhile(_u17983, _u17984, _u17985))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17983)), _u17985))) | ~hBOOL(hAPP(_u17984, hAPP(hAPP(c_List_Onth(_u17983), _u17985), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17983)), c_List_OtakeWhile(_u17983, _u17984, _u17985))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17986), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17987)), c_List_OtakeWhile(_u17987, _u17988, _u17989)))) | ( hAPP(hAPP(c_List_Onth(_u17987), c_List_OtakeWhile(_u17987, _u17988, _u17989)), _u17986) = hAPP(hAPP(c_List_Onth(_u17987), _u17989), _u17986)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u17990 = c_List_Olist_ONil(_u17991)) | ~hBOOL(hAPP(c_List_Odistinct(_u17991), _u17990)) | ( c_List_OtakeWhile(_u17991, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17991), c_fNot), hAPP(hAPP(c_COMBC(_u17991, _u17991, tc_HOL_Obool), c_fequal), c_List_Olast(_u17991, _u17990))), _u17990) = c_List_Obutlast(_u17991, _u17990)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u17992) | ~c_List_Olinorder__class_Osorted(_u17992, hAPP(c_List_Orev(_u17992), hAPP(hAPP(c_List_Omap(_u17993, _u17992), _u17994), _u17995))) | ( hAPP(c_List_Ofilter(_u17993, hAPP(hAPP(c_COMBB(_u17992, tc_HOL_Obool, _u17993), hAPP(c_Orderings_Oord__class_Oless(_u17992), _u17996)), _u17994)), _u17995) = c_List_OtakeWhile(_u17993, hAPP(hAPP(c_COMBB(_u17992, tc_HOL_Obool, _u17993), hAPP(c_Orderings_Oord__class_Oless(_u17992), _u17996)), _u17994), _u17995)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u17997) | ( c_List_Oembed__list(c_List_Oreturn__list(_u17997)) = _u17997) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u17998), _u17999) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u17998)), c_List_Oembed__list(_u17999)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u18000) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18000)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18001), _u18002)) | ~hBOOL(hAPP(hAPP(c_member(_u18001), _u18003), hAPP(c_List_Oset(_u18001), _u18002))) | ( c_List_OtakeWhile(_u18001, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18001), c_fNot), hAPP(hAPP(c_COMBC(_u18001, _u18001, tc_HOL_Obool), c_fequal), _u18003)), hAPP(c_List_Orev(_u18001), _u18002)) = hAPP(c_List_Orev(_u18001), hAPP(c_List_Otl(_u18001), c_List_OdropWhile(_u18001, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18001), c_fNot), hAPP(hAPP(c_COMBC(_u18001, _u18001, tc_HOL_Obool), c_fequal), _u18003)), _u18002)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18004), _u18005)) | ~hBOOL(hAPP(hAPP(c_member(_u18004), _u18006), hAPP(c_List_Oset(_u18004), _u18005))) | ( c_List_OdropWhile(_u18004, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18004), c_fNot), hAPP(hAPP(c_COMBC(_u18004, _u18004, tc_HOL_Obool), c_fequal), _u18006)), hAPP(c_List_Orev(_u18004), _u18005)) = hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), hAPP(c_List_Orev(_u18004), c_List_OtakeWhile(_u18004, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18004), c_fNot), hAPP(hAPP(c_COMBC(_u18004, _u18004, tc_HOL_Obool), c_fequal), _u18006)), _u18005)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18007) | ~c_List_Olinorder__class_Osorted(_u18007, _u18008) | c_List_Olinorder__class_Osorted(_u18007, c_List_OdropWhile(_u18007, _u18009, _u18008)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18014, _u18016)) | ( c_List_OdropWhile(_u18018, _u18014, hAPP(hAPP(c_List_Olist_OCons(_u18018), _u18016), _u18020)) = c_List_OdropWhile(_u18018, _u18014, _u18020)) )).
% 29.00/29.21 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18015, _u18017)) | ( c_List_OdropWhile(_u18019, _u18015, hAPP(hAPP(c_List_Olist_OCons(_u18019), _u18017), _u18021)) = hAPP(hAPP(c_List_Olist_OCons(_u18019), _u18017), _u18021)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u18022, _u18023, c_List_Olist_ONil(_u18022)) = c_List_Olist_ONil(_u18022)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18024), _u18025)) | hBOOL(hAPP(c_List_Odistinct(_u18024), c_List_OdropWhile(_u18024, _u18026, _u18025))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u18032, _u18034, _u18036) != c_List_Olist_ONil(_u18032)) | ~hBOOL(hAPP(hAPP(c_member(_u18032), _u18027), hAPP(c_List_Oset(_u18032), _u18036))) | hBOOL(hAPP(_u18034, _u18027)) )).
% 29.00/29.21 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u18033, _u18035, _u18037) = c_List_Olist_ONil(_u18033)) | hBOOL(hAPP(hAPP(c_member(_u18033), skolem410(_u18037, _u18035, _u18033)), hAPP(c_List_Oset(_u18033), _u18037))) )).
% 29.00/29.21 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u18033, _u18035, _u18037) = c_List_Olist_ONil(_u18033)) | ~hBOOL(hAPP(_u18035, skolem410(_u18037, _u18035, _u18033))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 29.00/29.21 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(_u18038)), c_List_OdropWhile(_u18038, _u18039, _u18040))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18038)), _u18040))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18041), c_List_OtakeWhile(_u18041, _u18042, _u18043)), c_List_OdropWhile(_u18041, _u18042, _u18043)) = _u18043) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u18044, _u18045, _u18046) = c_List_Olist_ONil(_u18044)) | ~hBOOL(hAPP(_u18045, hAPP(c_List_Ohd(_u18044), c_List_OdropWhile(_u18044, _u18045, _u18046)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u18047, _u18048, hAPP(hAPP(c_List_Omap(_u18049, _u18047), _u18050), _u18051)) = hAPP(hAPP(c_List_Omap(_u18049, _u18047), _u18050), c_List_OdropWhile(_u18049, hAPP(c_Fun_Ocomp(_u18047, tc_HOL_Obool, _u18049, _u18048), _u18050), _u18051))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18052), _u18053), hAPP(c_List_Oset(_u18052), _u18054))) | hBOOL(hAPP(_u18055, _u18053)) | ( c_List_OdropWhile(_u18052, _u18055, hAPP(hAPP(c_List_Oappend(_u18052), _u18054), _u18056)) = hAPP(hAPP(c_List_Oappend(_u18052), c_List_OdropWhile(_u18052, _u18055, _u18054)), _u18056)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u18062, _u18064, _u18066) != hAPP(hAPP(c_List_Olist_OCons(_u18062), _u18068), _u18070)) | ( _u18066 = hAPP(hAPP(c_List_Oappend(_u18062), c_List_OtakeWhile(_u18062, _u18064, _u18066)), hAPP(hAPP(c_List_Olist_OCons(_u18062), _u18068), _u18070))) )).
% 29.00/29.21 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u18062, _u18064, _u18066) != hAPP(hAPP(c_List_Olist_OCons(_u18062), _u18068), _u18070)) | ~hBOOL(hAPP(_u18064, _u18068)) )).
% 29.00/29.21 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u18067 != hAPP(hAPP(c_List_Oappend(_u18063), c_List_OtakeWhile(_u18063, _u18065, _u18067)), hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18069), _u18071))) | hBOOL(hAPP(_u18065, _u18069)) | ( c_List_OdropWhile(_u18063, _u18065, _u18067) = hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18069), _u18071)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u18072, _u18073, _u18074) = hAPP(hAPP(c_List_Odrop(_u18072), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18072)), c_List_OtakeWhile(_u18072, _u18073, _u18074))), _u18074)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18076)), c_List_OdropWhile(_u18076, _u18077, _u18078)))) | ( hAPP(hAPP(c_List_Onth(_u18076), c_List_OdropWhile(_u18076, _u18077, _u18078)), _u18075) = hAPP(hAPP(c_List_Onth(_u18076), _u18078), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18076)), c_List_OtakeWhile(_u18076, _u18077, _u18078))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u18080) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), hAPP(c_List_Ofilter(_u18081, _u18083), _u18082))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), _u18082))) | hBOOL(hAPP(hAPP(c_member(_u18081), skolem411(_u18084, _u18083, _u18082, _u18081, _u18080)), hAPP(c_List_Oset(_u18081), _u18082))) )).
% 29.00/29.21 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u18080) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), hAPP(c_List_Ofilter(_u18081, _u18083), _u18082))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), _u18082))) | ~hBOOL(hAPP(_u18083, skolem411(_u18084, _u18083, _u18082, _u18081, _u18080))) )).
% 29.00/29.21 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u18080) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), hAPP(c_List_Ofilter(_u18081, _u18083), _u18082))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), _u18082))) | ( hAPP(_u18084, skolem411(_u18084, _u18083, _u18082, _u18081, _u18080)) != c_Groups_Ozero__class_Ozero(_u18080)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u18087) | c_List_Olinorder__class_Osorted(_u18087, _u18088) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem412(_u18088, _u18087)), skolem413(_u18088, _u18087))) )).
% 29.00/29.21 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u18087) | c_List_Olinorder__class_Osorted(_u18087, _u18088) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem413(_u18088, _u18087)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18087)), _u18088))) )).
% 29.00/29.21 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u18087) | c_List_Olinorder__class_Osorted(_u18087, _u18088) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18087), hAPP(hAPP(c_List_Onth(_u18087), _u18088), skolem412(_u18088, _u18087))), hAPP(hAPP(c_List_Onth(_u18087), _u18088), skolem413(_u18088, _u18087)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18089) | ( c_List_Olinorder__class_Osort__key(_u18089, _u18089, c_COMBI(_u18089), _u18090) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18089), _u18089, hAPP(c_COMBC(_u18089, tc_List_Olist(_u18089), tc_List_Olist(_u18089)), c_List_Olinorder__class_Oinsort__key(_u18089, _u18089, c_COMBI(_u18089))), c_List_Olist_ONil(_u18089)), _u18090)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u18092, _u18093, _u18094) = hAPP(c_List_Ofilter(_u18092, _u18093), _u18094)) | hBOOL(hAPP(hAPP(c_member(_u18092), skolem414(_u18094, _u18093, _u18092)), hAPP(c_List_Oset(_u18092), c_List_OdropWhile(_u18092, _u18093, _u18094)))) )).
% 29.00/29.21 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u18092, _u18093, _u18094) = hAPP(c_List_Ofilter(_u18092, _u18093), _u18094)) | hBOOL(hAPP(_u18093, skolem414(_u18094, _u18093, _u18092))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18095) | c_List_Olinorder__class_Osorted(_u18095, c_List_Olinorder__class_Osort__key(_u18095, _u18095, c_COMBI(_u18095), _u18096)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18097) | ( c_List_Olinorder__class_Osort__key(_u18098, _u18097, _u18099, c_List_Olist_ONil(_u18098)) = c_List_Olist_ONil(_u18098)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18100) | ~hBOOL(hAPP(c_List_Odistinct(_u18101), c_List_Olinorder__class_Osort__key(_u18101, _u18100, _u18102, _u18103))) | hBOOL(hAPP(c_List_Odistinct(_u18101), _u18103)) )).
% 29.00/29.21 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u18100) | ~hBOOL(hAPP(c_List_Odistinct(_u18101), _u18103)) | hBOOL(hAPP(c_List_Odistinct(_u18101), c_List_Olinorder__class_Osort__key(_u18101, _u18100, _u18102, _u18103))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18104) | ( hAPP(c_List_Ofilter(_u18105, _u18106), c_List_Olinorder__class_Osort__key(_u18105, _u18104, _u18107, _u18108)) = c_List_Olinorder__class_Osort__key(_u18105, _u18104, _u18107, hAPP(c_List_Ofilter(_u18105, _u18106), _u18108))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18109) | ( hAPP(c_List_Oset(_u18110), c_List_Olinorder__class_Osort__key(_u18110, _u18109, _u18111, _u18112)) = hAPP(c_List_Oset(_u18110), _u18112)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18113) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18114)), c_List_Olinorder__class_Osort__key(_u18114, _u18113, _u18115, _u18116)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18114)), _u18116)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18117) | c_List_Olinorder__class_Osorted(_u18117, hAPP(hAPP(c_List_Omap(_u18118, _u18117), _u18119), c_List_Olinorder__class_Osort__key(_u18118, _u18117, _u18119, _u18120))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18121) | ( c_List_Olinorder__class_Osort__key(_u18122, _u18121, _u18123, hAPP(hAPP(c_List_Olist_OCons(_u18122), _u18124), _u18125)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18122, _u18121, _u18123), _u18124), c_List_Olinorder__class_Osort__key(_u18122, _u18121, _u18123, _u18125))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18126) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18126, hAPP(c_List_Oset(_u18126), _u18127)) = c_List_Olinorder__class_Osort__key(_u18126, _u18126, c_COMBI(_u18126), c_List_Oremdups(_u18126, _u18127))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u18132, _u18131, _u18130, _u18129)), _u18129)) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) )).
% 29.00/29.21 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u18132, _u18131, _u18130, _u18129)), _u18129)) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), _u18129))) )).
% 29.00/29.21 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u18132, _u18131, _u18130, _u18129)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) )).
% 29.00/29.21 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u18132, _u18131, _u18130, _u18129)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), _u18129))) )).
% 29.00/29.21 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), skolem415(_u18132, _u18131, _u18130, _u18129)))) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) )).
% 29.00/29.21 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), skolem415(_u18132, _u18131, _u18130, _u18129)))) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), _u18129))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18134), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18136)), _u18137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18134), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18136)), c_List_OtakeWhile(_u18136, _u18135, _u18137)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem416(_u18137, _u18136, _u18135, _u18134)), _u18134)) )).
% 29.00/29.21 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18134), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18136)), _u18137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18134), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18136)), c_List_OtakeWhile(_u18136, _u18135, _u18137)))) | ~hBOOL(hAPP(_u18135, hAPP(hAPP(c_List_Onth(_u18136), _u18137), skolem416(_u18137, _u18136, _u18135, _u18134)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u18144) | ~c_List_Olinorder__class_Osorted(_u18144, _u18145) | ( _u18145 = c_List_Olist_ONil(_u18144)) | c_List_Olinorder__class_Osorted(_u18144, skolem417(_u18145, _u18144)) )).
% 29.00/29.21 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u18144) | ~c_List_Olinorder__class_Osorted(_u18144, _u18145) | ( _u18145 = c_List_Olist_ONil(_u18144)) | ( _u18145 = hAPP(hAPP(c_List_Olist_OCons(_u18144), skolem418(_u18145, _u18144)), skolem417(_u18145, _u18144))) )).
% 29.00/29.21 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u18144) | ~c_List_Olinorder__class_Osorted(_u18144, _u18145) | ( _u18145 = c_List_Olist_ONil(_u18144)) | ~hBOOL(hAPP(hAPP(c_member(_u18144), _u18138), hAPP(c_List_Oset(_u18144), skolem417(_u18145, _u18144)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18144), skolem418(_u18145, _u18144)), _u18138)) )).
% 29.00/29.21 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u18144) | c_List_Olinorder__class_Osorted(_u18144, _u18145) | ( _u18145 != c_List_Olist_ONil(_u18144)) )).
% 29.00/29.21 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u18144) | c_List_Olinorder__class_Osorted(_u18144, _u18145) | ~c_List_Olinorder__class_Osorted(_u18144, _u18143) | ( _u18145 != hAPP(hAPP(c_List_Olist_OCons(_u18144), _u18142), _u18143)) | hBOOL(hAPP(hAPP(c_member(_u18144), skolem419(_u18145, _u18144, _u18143, _u18142)), hAPP(c_List_Oset(_u18144), _u18143))) )).
% 29.00/29.21 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u18144) | c_List_Olinorder__class_Osorted(_u18144, _u18145) | ~c_List_Olinorder__class_Osorted(_u18144, _u18143) | ( _u18145 != hAPP(hAPP(c_List_Olist_OCons(_u18144), _u18142), _u18143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18144), _u18142), skolem419(_u18145, _u18144, _u18143, _u18142))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u18146, _u18147, _u18148, _u18149) = c_List_Oconcat(_u18147, hAPP(hAPP(c_List_Omap(_u18146, tc_List_Olist(_u18147)), _u18148), _u18149))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u18150, _u18151, _u18152, c_List_Olist_ONil(_u18150)) = c_List_Olist_ONil(_u18151)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u18153, _u18154, _u18155, hAPP(hAPP(c_List_Olist_OCons(_u18153), _u18156), _u18157)) = hAPP(hAPP(c_List_Oappend(_u18154), hAPP(_u18155, _u18156)), c_List_Omaps(_u18153, _u18154, _u18155, _u18157))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u18158, hAPP(hAPP(c_List_Omap(_u18159, tc_List_Olist(_u18158)), _u18160), _u18161)) = c_List_Omaps(_u18159, _u18158, _u18160, _u18161)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem420(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem421(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) )).
% 29.00/29.21 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem420(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem422(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) )).
% 29.00/29.21 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem420(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | ( skolem421(_u18166, _u18165) != skolem422(_u18166, _u18165)) )).
% 29.00/29.21 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem420(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18165, tc_HOL_Obool)), hAPP(c_List_Oset(_u18165), skolem421(_u18166, _u18165))), hAPP(c_List_Oset(_u18165), skolem422(_u18166, _u18165))) != c_Orderings_Obot__class_Obot(tc_fun(_u18165, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | ~hBOOL(hAPP(c_List_Odistinct(_u18165), skolem420(_u18166, _u18165))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem421(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) )).
% 29.00/29.21 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | ~hBOOL(hAPP(c_List_Odistinct(_u18165), skolem420(_u18166, _u18165))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem422(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) )).
% 29.00/29.21 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | ~hBOOL(hAPP(c_List_Odistinct(_u18165), skolem420(_u18166, _u18165))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | ( skolem421(_u18166, _u18165) != skolem422(_u18166, _u18165)) )).
% 29.00/29.21 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | ~hBOOL(hAPP(c_List_Odistinct(_u18165), skolem420(_u18166, _u18165))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18165, tc_HOL_Obool)), hAPP(c_List_Oset(_u18165), skolem421(_u18166, _u18165))), hAPP(c_List_Oset(_u18165), skolem422(_u18166, _u18165))) != c_Orderings_Obot__class_Obot(tc_fun(_u18165, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18167, _u18168)), hAPP(_u18167, _u18169))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18170, _u18170)), hAPP(hAPP(c_Product__Type_OPair(_u18170, _u18170), _u18168), _u18169)), c_List_Omeasures(_u18170, _u18171))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18170, _u18170)), hAPP(hAPP(c_Product__Type_OPair(_u18170, _u18170), _u18168), _u18169)), c_List_Omeasures(_u18170, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18170, tc_Nat_Onat)), _u18167), _u18171)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u18172, c_List_Omeasures(_u18172, _u18173)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18174, _u18174)), hAPP(hAPP(c_Product__Type_OPair(_u18174, _u18174), _u18175), _u18176)), c_List_Omeasures(_u18174, c_List_Olist_ONil(tc_fun(_u18174, tc_Nat_Onat))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u18177, _u18178) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18177), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18177, tc_List_Olist(tc_fun(_u18177, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18177, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18177, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18177), c_List_Omap(tc_fun(_u18177, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18177, tc_Nat_Onat), _u18177, tc_Nat_Onat), c_COMBI(tc_fun(_u18177, tc_Nat_Onat))))), _u18178))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18184, _u18184)), hAPP(hAPP(c_Product__Type_OPair(_u18184, _u18184), _u18186), _u18188)), c_List_Omeasures(_u18184, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18184, tc_Nat_Onat)), _u18190), _u18192)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18190, _u18186)), hAPP(_u18190, _u18188))) | ( hAPP(_u18190, _u18186) = hAPP(_u18190, _u18188)) )).
% 29.00/29.21 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18184, _u18184)), hAPP(hAPP(c_Product__Type_OPair(_u18184, _u18184), _u18186), _u18188)), c_List_Omeasures(_u18184, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18184, tc_Nat_Onat)), _u18190), _u18192)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18190, _u18186)), hAPP(_u18190, _u18188))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18184, _u18184)), hAPP(hAPP(c_Product__Type_OPair(_u18184, _u18184), _u18186), _u18188)), c_List_Omeasures(_u18184, _u18192))) )).
% 29.00/29.21 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18185, _u18185)), hAPP(hAPP(c_Product__Type_OPair(_u18185, _u18185), _u18187), _u18189)), c_List_Omeasures(_u18185, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18185, tc_Nat_Onat)), _u18191), _u18193)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18191, _u18187)), hAPP(_u18191, _u18189))) )).
% 29.00/29.21 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18185, _u18185)), hAPP(hAPP(c_Product__Type_OPair(_u18185, _u18185), _u18187), _u18189)), c_List_Omeasures(_u18185, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18185, tc_Nat_Onat)), _u18191), _u18193)))) | ( hAPP(_u18191, _u18187) != hAPP(_u18191, _u18189)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18185, _u18185)), hAPP(hAPP(c_Product__Type_OPair(_u18185, _u18185), _u18187), _u18189)), c_List_Omeasures(_u18185, _u18193))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18194, _u18195)), hAPP(_u18194, _u18196))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18197, _u18197)), hAPP(hAPP(c_Product__Type_OPair(_u18197, _u18197), _u18195), _u18196)), c_List_Omeasures(_u18197, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18197, tc_Nat_Onat)), _u18194), _u18198)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__on__Inter-1, axiom, ( ( _u18200 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18201, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u18201, _u18202, _u18203, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18201, tc_HOL_Obool), _u18200)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18201, tc_HOL_Obool)), skolem423(_u18203, _u18202, _u18201, _u18200)), _u18200)) )).
% 29.00/29.21 cnf(fact_inj__on__Inter-2, axiom, ( ( _u18200 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18201, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u18201, _u18202, _u18203, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18201, tc_HOL_Obool), _u18200)) | ~c_Fun_Oinj__on(_u18201, _u18202, _u18203, skolem423(_u18203, _u18202, _u18201, _u18200)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inter__subset-1, axiom, ( ( _u18206 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18205, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18205, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18205, tc_HOL_Obool), _u18206)), _u18207)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18205, tc_HOL_Obool)), skolem424(_u18207, _u18206, _u18205)), _u18206)) )).
% 29.00/29.21 cnf(fact_Inter__subset-2, axiom, ( ( _u18206 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18205, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18205, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18205, tc_HOL_Obool), _u18206)), _u18207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18205, tc_HOL_Obool)), skolem424(_u18207, _u18206, _u18205)), _u18207)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18211, _u18209, hAPP(c_COMBC(_u18209, _u18211, _u18211), _u18213), hAPP(_u18214, _u18216)), _u18210) = hAPP(_u18214, hAPP(c_List_Ofoldl(_u18212, _u18209, hAPP(c_COMBC(_u18209, _u18212, _u18212), _u18215), _u18216), _u18210))) | hBOOL(hAPP(hAPP(c_member(_u18209), skolem425(_u18216, _u18215, _u18214, _u18213, _u18212, _u18211, _u18210, _u18209)), hAPP(c_List_Oset(_u18209), _u18210))) )).
% 29.00/29.21 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u18211, _u18209, hAPP(c_COMBC(_u18209, _u18211, _u18211), _u18213), hAPP(_u18214, _u18216)), _u18210) = hAPP(_u18214, hAPP(c_List_Ofoldl(_u18212, _u18209, hAPP(c_COMBC(_u18209, _u18212, _u18212), _u18215), _u18216), _u18210))) | ( hAPP(c_Fun_Ocomp(_u18211, _u18211, _u18212, hAPP(_u18213, skolem425(_u18216, _u18215, _u18214, _u18213, _u18212, _u18211, _u18210, _u18209))), _u18214) != hAPP(c_Fun_Ocomp(_u18212, _u18211, _u18212, _u18214), hAPP(_u18215, skolem425(_u18216, _u18215, _u18214, _u18213, _u18212, _u18211, _u18210, _u18209)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u18219, _u18221) | c_Wellfounded_Owf(_u18219, hAPP(c_Set_OCollect(tc_prod(_u18219, _u18219)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18219, _u18219, tc_HOL_Obool), _u18221))) )).
% 29.00/29.21 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u18220, hAPP(c_Set_OCollect(tc_prod(_u18220, _u18220)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18220, _u18220, tc_HOL_Obool), _u18222))) | c_Wellfounded_OwfP(_u18220, _u18222) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u18223, hAPP(c_COMBK(tc_fun(_u18223, tc_HOL_Obool), _u18223), hAPP(c_COMBK(tc_HOL_Obool, _u18223), c_fFalse))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u18224, _u18225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18224, tc_fun(_u18224, tc_HOL_Obool))), _u18226), _u18225)) | c_Wellfounded_OwfP(_u18224, _u18226) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u18227, _u18228) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u18227, _u18228), _u18229)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u18234, _u18236) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u18234, _u18236), _u18230)) )).
% 29.00/29.21 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u18235, _u18237), skolem426(_u18237, _u18235))) | c_Wellfounded_OwfP(_u18235, _u18237) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u18238, _u18239) | c_Wellfounded_OwfP(_u18238, c_FunDef_Oin__rel(_u18238, _u18238, _u18239)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u18242, hAPP(hAPP(c_COMBC(_u18242, tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_fun(_u18242, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18242, tc_fun(tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_fun(_u18242, tc_HOL_Obool)), _u18242), c_COMBC(_u18242, tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18242, tc_prod(_u18242, _u18242)), tc_fun(_u18242, tc_fun(tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_HOL_Obool)), _u18242), hAPP(c_COMBB(tc_prod(_u18242, _u18242), tc_fun(tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_HOL_Obool), _u18242), c_member(tc_prod(_u18242, _u18242)))), c_Product__Type_OPair(_u18242, _u18242)))), _u18244)) | c_Wellfounded_Owf(_u18242, _u18244) )).
% 29.00/29.21 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u18243, _u18245) | c_Wellfounded_OwfP(_u18243, hAPP(hAPP(c_COMBC(_u18243, tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_fun(_u18243, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18243, tc_fun(tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_fun(_u18243, tc_HOL_Obool)), _u18243), c_COMBC(_u18243, tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18243, tc_prod(_u18243, _u18243)), tc_fun(_u18243, tc_fun(tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_HOL_Obool)), _u18243), hAPP(c_COMBB(tc_prod(_u18243, _u18243), tc_fun(tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_HOL_Obool), _u18243), c_member(tc_prod(_u18243, _u18243)))), c_Product__Type_OPair(_u18243, _u18243)))), _u18245)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u18246, _u18247) | c_Wellfounded_Oacyclic(_u18246, hAPP(c_Set_OCollect(tc_prod(_u18246, _u18246)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18246, _u18246, tc_HOL_Obool), _u18247))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u18248) | ~class_Enum_Oenum(_u18249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18249, _u18248)), _u18250), _u18251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18249, _u18248)), _u18250), _u18251)) )).
% 29.00/29.21 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u18248) | ~class_Enum_Oenum(_u18249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18249, _u18248)), _u18250), _u18251)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18249), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18249), c_fNot), hAPP(hAPP(c_COMBS(_u18249, _u18248, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18248, tc_fun(_u18248, tc_HOL_Obool), _u18249), c_fequal), _u18250)), _u18251)))) )).
% 29.00/29.21 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u18248) | ~class_Enum_Oenum(_u18249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18249, _u18248)), _u18250), _u18251)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18249), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18249), c_fNot), hAPP(hAPP(c_COMBS(_u18249, _u18248, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18248, tc_fun(_u18248, tc_HOL_Obool), _u18249), c_fequal), _u18250)), _u18251)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18249, _u18248)), _u18250), _u18251)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u18252, _u18253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18252, _u18252), tc_HOL_Obool)), _u18254), _u18253)) | c_Wellfounded_Oacyclic(_u18252, _u18254) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u18255, _u18256) | c_Wellfounded_Oacyclic(_u18255, _u18256) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18257) | ~class_Enum_Oenum(_u18258) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18258, _u18257)), _u18259)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18258), hAPP(hAPP(c_COMBB(tc_fun(_u18257, tc_HOL_Obool), tc_HOL_Obool, _u18258), c_Enum_Oenum__class_Oenum__ex(_u18257)), hAPP(hAPP(c_COMBB(tc_fun(_u18257, tc_prod(_u18258, _u18257)), tc_fun(_u18257, tc_HOL_Obool), _u18258), hAPP(c_COMBB(tc_prod(_u18258, _u18257), tc_HOL_Obool, _u18257), _u18259)), c_Product__Type_OPair(_u18258, _u18257))))) )).
% 29.00/29.21 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18257) | ~class_Enum_Oenum(_u18258) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18258), hAPP(hAPP(c_COMBB(tc_fun(_u18257, tc_HOL_Obool), tc_HOL_Obool, _u18258), c_Enum_Oenum__class_Oenum__ex(_u18257)), hAPP(hAPP(c_COMBB(tc_fun(_u18257, tc_prod(_u18258, _u18257)), tc_fun(_u18257, tc_HOL_Obool), _u18258), hAPP(c_COMBB(tc_prod(_u18258, _u18257), tc_HOL_Obool, _u18257), _u18259)), c_Product__Type_OPair(_u18258, _u18257))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18258, _u18257)), _u18259)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u18262) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18262), _u18263)) | hBOOL(hAPP(_u18263, skolem427(_u18263, _u18262))) )).
% 29.00/29.21 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u18262) | ~hBOOL(hAPP(_u18263, _u18261)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18262), _u18263)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u18266) | ~hBOOL(hAPP(_u18267, _u18264)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18266), _u18267)) )).
% 29.00/29.21 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u18266) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18266), _u18267)) | hBOOL(hAPP(_u18267, skolem428(_u18267, _u18266))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18268, _u18268)), _u18269)) | ~c_Wellfounded_Owf(_u18268, _u18269) | c_Wellfounded_Oacyclic(_u18268, _u18269) )).
% 29.00/29.21 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18268, _u18268)), _u18269)) | ~c_Wellfounded_Oacyclic(_u18268, _u18269) | c_Wellfounded_Owf(_u18268, _u18269) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18270, _u18270)), _u18271)) | ~c_Wellfounded_Oacyclic(_u18270, _u18271) | c_Wellfounded_Owf(_u18270, _u18271) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u18274, _u18276) | c_Wellfounded_Oacyclic(_u18274, _u18276) )).
% 29.00/29.21 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u18274, _u18276) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18274, _u18274)), _u18276)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 29.00/29.21 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u18275, _u18277) | ~c_Wellfounded_Oacyclic(_u18275, _u18277) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18275, _u18275)), _u18277)) )).
% 29.00/29.21 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u18275, _u18277) | ~c_Wellfounded_Oacyclic(_u18275, _u18277) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inj__on__INTER-1, axiom, ( ( _u18279 = c_Orderings_Obot__class_Obot(tc_fun(_u18280, tc_HOL_Obool))) | c_Fun_Oinj__on(_u18281, _u18282, _u18283, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18280, tc_fun(_u18281, tc_HOL_Obool)), _u18279), _u18284)) | hBOOL(hAPP(hAPP(c_member(_u18280), skolem429(_u18284, _u18283, _u18282, _u18281, _u18280, _u18279)), _u18279)) )).
% 29.00/29.21 cnf(fact_inj__on__INTER-2, axiom, ( ( _u18279 = c_Orderings_Obot__class_Obot(tc_fun(_u18280, tc_HOL_Obool))) | c_Fun_Oinj__on(_u18281, _u18282, _u18283, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18280, tc_fun(_u18281, tc_HOL_Obool)), _u18279), _u18284)) | ~c_Fun_Oinj__on(_u18281, _u18282, _u18283, hAPP(_u18284, skolem429(_u18284, _u18283, _u18282, _u18281, _u18280, _u18279))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u18289, hAPP(hAPP(c_List_Ozip(_u18285, _u18287), _u18286), _u18288))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), hAPP(hAPP(c_List_Otake(_u18285), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), _u18286)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288))), _u18286)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), hAPP(hAPP(c_List_Otake(_u18287), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), _u18286)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288))), _u18288))) )).
% 29.00/29.21 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u18289, hAPP(hAPP(c_List_Ozip(_u18285, _u18287), _u18286), _u18288))) | ~hBOOL(hAPP(_u18289, hAPP(hAPP(c_List_Ozip(_u18285, _u18287), hAPP(hAPP(c_List_Otake(_u18285), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), _u18286)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288))), _u18286)), hAPP(hAPP(c_List_Otake(_u18287), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), _u18286)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288))), _u18288)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u18290, hAPP(c_fequal, _u18291)) = _u18291) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u18292, hAPP(hAPP(c_COMBC(_u18292, _u18292, tc_HOL_Obool), c_fequal), _u18293)) = _u18293) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u18295), _u18296)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18297), hAPP(c_Set_Oimage(_u18295, _u18297, _u18298), _u18296))) | hBOOL(hAPP(hAPP(c_member(_u18295), skolem430(_u18298, _u18297, _u18296, _u18295)), _u18296)) )).
% 29.00/29.21 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u18295), _u18296)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18297), hAPP(c_Set_Oimage(_u18295, _u18297, _u18298), _u18296))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18295), hAPP(c_Set_OCollect(_u18295), hAPP(hAPP(c_COMBS(_u18295, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18295), c_fconj), hAPP(hAPP(c_COMBC(_u18295, tc_fun(_u18295, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18295)), _u18296))), hAPP(hAPP(c_COMBC(_u18295, _u18297, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18297, tc_fun(_u18297, tc_HOL_Obool), _u18295), c_fequal), _u18298)), hAPP(_u18298, skolem430(_u18298, _u18297, _u18296, _u18295))))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u18300, _u18301)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem431(_u18301, _u18300)), c_Int_OInteg)) )).
% 29.00/29.21 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u18300, _u18301)) | ~hBOOL(hAPP(_u18300, hAPP(c_Int_OAbs__Integ, skolem431(_u18301, _u18300)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u18303 = hAPP(c_Int_OAbs__Integ, skolem432(_u18303))) )).
% 29.00/29.21 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)), skolem432(_u18303)), c_Int_OInteg)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18305), _u18306)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18307), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18305, tc_fun(_u18307, tc_HOL_Obool)), _u18306), _u18308))) | hBOOL(hAPP(hAPP(c_member(_u18305), skolem433(_u18308, _u18307, _u18306, _u18305)), _u18306)) )).
% 29.00/29.21 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18305), _u18306)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18307), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18305, tc_fun(_u18307, tc_HOL_Obool)), _u18306), _u18308))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18307), hAPP(_u18308, skolem433(_u18308, _u18307, _u18306, _u18305)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 29.00/29.21 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)), _u18311), _u18310) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem434(_u18311, _u18310)), _u18310)) )).
% 29.00/29.21 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)), _u18311), _u18310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18311), skolem434(_u18311, _u18310))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u18315, hAPP(_u18316, skolem435(_u18317, _u18316, _u18315))) | c_Wellfounded_OwfP(_u18315, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18317, tc_fun(_u18315, tc_fun(_u18315, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u18317, tc_HOL_Obool))), _u18316)) | ( hAPP(_u18316, skolem436(_u18317, _u18316, _u18315)) != hAPP(_u18316, skolem437(_u18317, _u18316, _u18315))) )).
% 29.00/29.21 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u18315, hAPP(_u18316, skolem435(_u18317, _u18316, _u18315))) | c_Wellfounded_OwfP(_u18315, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18317, tc_fun(_u18315, tc_fun(_u18315, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u18317, tc_HOL_Obool))), _u18316)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18315, tc_HOL_Obool)), c_Predicate_ODomainP(_u18315, _u18315, hAPP(_u18316, skolem436(_u18317, _u18316, _u18315)))), c_Predicate_ORangeP(_u18315, _u18315, hAPP(_u18316, skolem437(_u18317, _u18316, _u18315)))) != c_Orderings_Obot__class_Obot(tc_fun(_u18315, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18318, _u18319, _u18320, _u18321) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18318, _u18319), _u18320), _u18321))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u18323, _u18325, hAPP(hAPP(c_List_Oappend(_u18323), _u18324), _u18326)) = c_List_OdropWhile(_u18323, _u18325, _u18326)) | hBOOL(hAPP(hAPP(c_member(_u18323), skolem438(_u18326, _u18325, _u18324, _u18323)), hAPP(c_List_Oset(_u18323), _u18324))) )).
% 29.00/29.21 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u18323, _u18325, hAPP(hAPP(c_List_Oappend(_u18323), _u18324), _u18326)) = c_List_OdropWhile(_u18323, _u18325, _u18326)) | ~hBOOL(hAPP(_u18325, skolem438(_u18326, _u18325, _u18324, _u18323))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18328)), _u18329) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18331)) | c_List_Olist__all2(_u18328, _u18330, _u18332, _u18329, _u18331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem439(_u18332, _u18331, _u18330, _u18329, _u18328)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18328)), _u18329))) )).
% 29.00/29.21 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18328)), _u18329) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18331)) | c_List_Olist__all2(_u18328, _u18330, _u18332, _u18329, _u18331) | ~hBOOL(hAPP(hAPP(_u18332, hAPP(hAPP(c_List_Onth(_u18328), _u18329), skolem439(_u18332, _u18331, _u18330, _u18329, _u18328))), hAPP(hAPP(c_List_Onth(_u18330), _u18331), skolem439(_u18332, _u18331, _u18330, _u18329, _u18328)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18338), _u18339), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18336, _u18337, tc_fun(_u18338, tc_HOL_Obool)), _u18340), _u18335))) | ( _u18335 = hAPP(hAPP(c_Product__Type_OPair(_u18336, _u18337), skolem440(_u18340, _u18339, _u18338, _u18337, _u18336, _u18335)), skolem441(_u18340, _u18339, _u18338, _u18337, _u18336, _u18335))) )).
% 29.00/29.21 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18338), _u18339), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18336, _u18337, tc_fun(_u18338, tc_HOL_Obool)), _u18340), _u18335))) | ~hBOOL(hAPP(hAPP(c_member(_u18338), _u18339), hAPP(hAPP(_u18340, skolem440(_u18340, _u18339, _u18338, _u18337, _u18336, _u18335)), skolem441(_u18340, _u18339, _u18338, _u18337, _u18336, _u18335)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18343), _u18344), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18345, _u18346, tc_fun(_u18343, tc_HOL_Obool)), _u18347), _u18348))) | ( _u18348 = hAPP(hAPP(c_Product__Type_OPair(_u18345, _u18346), skolem442(_u18348, _u18347, _u18346, _u18345, _u18344, _u18343)), skolem443(_u18348, _u18347, _u18346, _u18345, _u18344, _u18343))) )).
% 29.00/29.21 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18343), _u18344), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18345, _u18346, tc_fun(_u18343, tc_HOL_Obool)), _u18347), _u18348))) | hBOOL(hAPP(hAPP(c_member(_u18343), _u18344), hAPP(hAPP(_u18347, skolem442(_u18348, _u18347, _u18346, _u18345, _u18344, _u18343)), skolem443(_u18348, _u18347, _u18346, _u18345, _u18344, _u18343)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18351), _u18352)) | ( hAPP(c_List_Oset(_u18351), skolem444(_u18352, _u18351)) = _u18352) )).
% 29.00/29.21 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u18351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18351), _u18352)) | c_List_Olinorder__class_Osorted(_u18351, skolem444(_u18352, _u18351)) )).
% 29.00/29.21 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u18351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18351), _u18352)) | hBOOL(hAPP(c_List_Odistinct(_u18351), skolem444(_u18352, _u18351))) )).
% 29.00/29.21 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u18351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18351), _u18352)) | ( hAPP(c_List_Oset(_u18351), _u18349) != _u18352) | ~c_List_Olinorder__class_Osorted(_u18351, _u18349) | ~hBOOL(hAPP(c_List_Odistinct(_u18351), _u18349)) | ( _u18349 = skolem444(_u18352, _u18351)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18354, tc_Nat_Onat), _u18355), _u18356) != hAPP(c_Nat_OSuc, _u18357)) | hBOOL(hAPP(hAPP(c_member(_u18354), skolem445(_u18357, _u18356, _u18355, _u18354)), _u18356)) )).
% 29.00/29.21 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18354, tc_Nat_Onat), _u18355), _u18356) != hAPP(c_Nat_OSuc, _u18357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u18355, skolem445(_u18357, _u18356, _u18355, _u18354)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u18359, _u18361, hAPP(hAPP(c_List_Oappend(_u18359), _u18360), _u18362)) = hAPP(hAPP(c_List_Oappend(_u18359), _u18360), c_List_OtakeWhile(_u18359, _u18361, _u18362))) | hBOOL(hAPP(hAPP(c_member(_u18359), skolem446(_u18362, _u18361, _u18360, _u18359)), hAPP(c_List_Oset(_u18359), _u18360))) )).
% 29.00/29.21 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u18359, _u18361, hAPP(hAPP(c_List_Oappend(_u18359), _u18360), _u18362)) = hAPP(hAPP(c_List_Oappend(_u18359), _u18360), c_List_OtakeWhile(_u18359, _u18361, _u18362))) | ~hBOOL(hAPP(_u18361, skolem446(_u18362, _u18361, _u18360, _u18359))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18364) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18365, _u18364, _u18367), _u18368), _u18366) = hAPP(hAPP(c_List_Olist_OCons(_u18365), _u18368), _u18366)) | hBOOL(hAPP(hAPP(c_member(_u18365), skolem447(_u18368, _u18367, _u18366, _u18365, _u18364)), hAPP(c_List_Oset(_u18365), _u18366))) )).
% 29.00/29.21 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18364) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18365, _u18364, _u18367), _u18368), _u18366) = hAPP(hAPP(c_List_Olist_OCons(_u18365), _u18368), _u18366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18364), hAPP(_u18367, _u18368)), hAPP(_u18367, skolem447(_u18368, _u18367, _u18366, _u18365, _u18364)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u18370, _u18371) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18370, tc_HOL_Obool)), skolem448(_u18371, _u18370)), hAPP(c_Relation_OImage(_u18370, _u18370, _u18371), skolem448(_u18371, _u18370)))) )).
% 29.00/29.21 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u18370, _u18371) | ( skolem448(_u18371, _u18370) != c_Orderings_Obot__class_Obot(tc_fun(_u18370, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18372, _u18372)), _u18373), c_Transitive__Closure_Ortrancl(_u18372, _u18374))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18372, _u18372)), _u18373), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u18372, _u18372), 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(_u18372, _u18372), tc_HOL_Obool), tc_fun(tc_prod(_u18372, _u18372), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u18372, _u18372), tc_HOL_Obool)), _u18374)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u18386, _u18388), _u18390) != hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), _u18394)) | hBOOL(hAPP(_u18388, _u18392)) )).
% 29.00/29.21 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u18386, _u18388), _u18390) != hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), _u18394)) | ~hBOOL(hAPP(hAPP(c_member(_u18386), _u18375), hAPP(c_List_Oset(_u18386), skolem449(_u18394, _u18392, _u18390, _u18388, _u18386)))) | ~hBOOL(hAPP(_u18388, _u18375)) )).
% 29.00/29.21 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u18386, _u18388), _u18390) != hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), _u18394)) | ( _u18390 = hAPP(hAPP(c_List_Oappend(_u18386), skolem449(_u18394, _u18392, _u18390, _u18388, _u18386)), hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), skolem450(_u18394, _u18392, _u18390, _u18388, _u18386)))) )).
% 29.00/29.21 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u18386, _u18388), _u18390) != hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), _u18394)) | ( _u18394 = hAPP(c_List_Ofilter(_u18386, _u18388), skolem450(_u18394, _u18392, _u18390, _u18388, _u18386))) )).
% 29.00/29.21 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u18387, _u18389), _u18391) = hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18393), _u18395)) | ~hBOOL(hAPP(_u18389, _u18393)) | ( _u18391 != hAPP(hAPP(c_List_Oappend(_u18387), _u18380), hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18393), _u18379))) | ( _u18395 != hAPP(c_List_Ofilter(_u18387, _u18389), _u18379)) | hBOOL(hAPP(hAPP(c_member(_u18387), skolem451(_u18395, _u18393, _u18391, _u18389, _u18387, _u18380)), hAPP(c_List_Oset(_u18387), _u18380))) )).
% 29.00/29.21 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u18387, _u18389), _u18391) = hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18393), _u18395)) | ~hBOOL(hAPP(_u18389, _u18393)) | ( _u18391 != hAPP(hAPP(c_List_Oappend(_u18387), _u18380), hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18393), _u18379))) | ( _u18395 != hAPP(c_List_Ofilter(_u18387, _u18389), _u18379)) | hBOOL(hAPP(_u18389, skolem451(_u18395, _u18393, _u18391, _u18389, _u18387, _u18380))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18396, _u18396)), _u18397), _u18398)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18396, _u18396)), _u18397), c_Transitive__Closure_Ortrancl(_u18396, _u18398))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18399, _u18399)), hAPP(hAPP(c_Product__Type_OPair(_u18399, _u18399), _u18400), _u18400)), c_Transitive__Closure_Ortrancl(_u18399, _u18401))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18402), tc_List_Olist(_u18402))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18402), tc_List_Olist(_u18402)), _u18403), _u18403)), c_List_Olistrel(_u18402, c_Transitive__Closure_Ortrancl(_u18402, _u18404)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18405, _u18405)), hAPP(hAPP(c_Product__Type_OPair(_u18405, _u18405), _u18406), _u18407)), c_Transitive__Closure_Ortrancl(_u18405, _u18408))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18405, _u18405)), hAPP(hAPP(c_Product__Type_OPair(_u18405, _u18405), _u18407), _u18409)), c_Transitive__Closure_Ortrancl(_u18405, _u18408))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18405, _u18405)), hAPP(hAPP(c_Product__Type_OPair(_u18405, _u18405), _u18406), _u18409)), c_Transitive__Closure_Ortrancl(_u18405, _u18408))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18410, _u18410)), hAPP(hAPP(c_Product__Type_OPair(_u18410, _u18410), _u18411), _u18412)), c_Transitive__Closure_Ortrancl(_u18410, _u18413))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18410, _u18410)), hAPP(hAPP(c_Product__Type_OPair(_u18410, _u18410), _u18412), _u18414)), _u18413)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18410, _u18410)), hAPP(hAPP(c_Product__Type_OPair(_u18410, _u18410), _u18411), _u18414)), c_Transitive__Closure_Ortrancl(_u18410, _u18413))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18415, _u18415)), hAPP(hAPP(c_Product__Type_OPair(_u18415, _u18415), _u18416), _u18417)), _u18418)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18415, _u18415)), hAPP(hAPP(c_Product__Type_OPair(_u18415, _u18415), _u18417), _u18419)), c_Transitive__Closure_Ortrancl(_u18415, _u18418))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18415, _u18415)), hAPP(hAPP(c_Product__Type_OPair(_u18415, _u18415), _u18416), _u18419)), c_Transitive__Closure_Ortrancl(_u18415, _u18418))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u18420, c_Transitive__Closure_Ortrancl(_u18420, _u18421)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18420), c_List_Olistrel1(_u18420, _u18421))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18422, _u18422)), _u18423), c_Transitive__Closure_Ortrancl(_u18422, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18422, _u18422), tc_HOL_Obool)), _u18424), _u18425)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18422, _u18422)), _u18423), c_Transitive__Closure_Ortrancl(_u18422, _u18424))) )).
% 29.00/29.21 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18422, _u18422)), _u18423), c_Transitive__Closure_Ortrancl(_u18422, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18422, _u18422), tc_HOL_Obool)), _u18424), _u18425)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18422, _u18422)), _u18423), c_Transitive__Closure_Ortrancl(_u18422, _u18425))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18426, c_Transitive__Closure_Ortrancl(_u18426, _u18427)) = c_Transitive__Closure_Ortrancl(_u18426, _u18427)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18428, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18428, _u18428), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18428, _u18429)), c_Transitive__Closure_Ortrancl(_u18428, _u18430))) = c_Transitive__Closure_Ortrancl(_u18428, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18428, _u18428), tc_HOL_Obool)), _u18429), _u18430))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u18431, _u18431, _u18431), c_Transitive__Closure_Ortrancl(_u18431, _u18432)), c_Transitive__Closure_Ortrancl(_u18431, _u18432)) = c_Transitive__Closure_Ortrancl(_u18431, _u18432)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u18433, _u18433, _u18433), _u18434), c_Transitive__Closure_Ortrancl(_u18433, _u18434)) = hAPP(hAPP(c_Relation_Orel__comp(_u18433, _u18433, _u18433), c_Transitive__Closure_Ortrancl(_u18433, _u18434)), _u18434)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18435, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u18435, _u18435), tc_HOL_Obool))) = c_Relation_OId(_u18435)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u18436, c_Orderings_Otop__class_Otop(tc_fun(_u18436, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18436, _u18437)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u18438, _u18438), c_Transitive__Closure_Ortrancl(_u18438, _u18439)) = c_Orderings_Otop__class_Otop(tc_fun(_u18438, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18440, _u18440), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18440, _u18440), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18440, _u18441)), c_Transitive__Closure_Ortrancl(_u18440, _u18442))), c_Transitive__Closure_Ortrancl(_u18440, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18440, _u18440), tc_HOL_Obool)), _u18441), _u18442)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18443, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18443, _u18443, _u18444), _u18445)), _u18445)) | ( hAPP(c_Relation_OImage(_u18443, _u18443, c_Transitive__Closure_Ortrancl(_u18443, _u18444)), _u18445) = _u18445) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18446, _u18446), tc_HOL_Obool)), _u18447), _u18448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18446, _u18446), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18446, _u18447)), c_Transitive__Closure_Ortrancl(_u18446, _u18448))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18449, _u18449), tc_HOL_Obool)), _u18450), _u18451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18449, _u18449), tc_HOL_Obool)), _u18451), c_Transitive__Closure_Ortrancl(_u18449, _u18450))) | ( c_Transitive__Closure_Ortrancl(_u18449, _u18451) = c_Transitive__Closure_Ortrancl(_u18449, _u18450)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18452, _u18452), tc_HOL_Obool)), _u18453), c_Transitive__Closure_Ortrancl(_u18452, _u18454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18452, _u18452), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18452, _u18453)), c_Transitive__Closure_Ortrancl(_u18452, _u18454))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 29.00/29.21 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(_u18455), tc_List_Olist(_u18455)), tc_HOL_Obool)), c_List_Olistrel1(_u18455, c_Transitive__Closure_Ortrancl(_u18455, _u18456))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18455), c_List_Olistrel1(_u18455, _u18456)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18457, _u18457), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18457, _u18458)), c_Relation_OId(_u18457)) = c_Transitive__Closure_Ortrancl(_u18457, _u18458)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18459, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18459, _u18459), tc_HOL_Obool)), _u18460), c_Relation_OId(_u18459))) = c_Transitive__Closure_Ortrancl(_u18459, _u18460)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18466, _u18466)), _u18468), c_Transitive__Closure_Ortrancl(_u18466, _u18470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18466, _u18466)), _u18468), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18466, _u18466), tc_HOL_Obool), skolem452(_u18470, _u18468, _u18466)), _u18470))) )).
% 29.00/29.21 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18467, _u18467)), _u18469), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18467, _u18467), tc_HOL_Obool), _u18462), _u18471))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18467, _u18467)), _u18469), c_Transitive__Closure_Ortrancl(_u18467, _u18471))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18472, _u18472)), _u18473), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18472, _u18472), tc_HOL_Obool), _u18474), _u18475))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18472, _u18472)), _u18473), c_Transitive__Closure_Ortrancl(_u18472, _u18475))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18476, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u18476, _u18476), tc_HOL_Obool)), _u18477), c_Relation_OId(_u18476))) = c_Transitive__Closure_Ortrancl(_u18476, _u18477)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u18478, _u18478), c_Transitive__Closure_Ortrancl(_u18478, _u18479)) = c_Orderings_Otop__class_Otop(tc_fun(_u18478, tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18480, _u18480)), hAPP(hAPP(c_Product__Type_OPair(_u18480, _u18480), _u18481), _u18482)), c_Transitive__Closure_Ortrancl(_u18480, _u18483))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18480), tc_List_Olist(_u18480))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18480), tc_List_Olist(_u18480)), _u18484), _u18485)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18480), c_List_Olistrel1(_u18480, _u18483)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18480), tc_List_Olist(_u18480))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18480), tc_List_Olist(_u18480)), hAPP(hAPP(c_List_Olist_OCons(_u18480), _u18481), _u18484)), hAPP(hAPP(c_List_Olist_OCons(_u18480), _u18482), _u18485))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18480), c_List_Olistrel1(_u18480, _u18483)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18486), tc_List_Olist(_u18486))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), _u18487), _u18488)), c_List_Olistrel(_u18486, c_Transitive__Closure_Ortrancl(_u18486, _u18489)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18486), tc_List_Olist(_u18486))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), _u18488), _u18490)), c_List_Olistrel(_u18486, c_Transitive__Closure_Ortrancl(_u18486, _u18489)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18486), tc_List_Olist(_u18486))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), _u18487), _u18490)), c_List_Olistrel(_u18486, c_Transitive__Closure_Ortrancl(_u18486, _u18489)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18491, _u18492) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18491, _u18491), tc_HOL_Obool)), c_Relation_OId(_u18491)), hAPP(hAPP(c_Relation_Orel__comp(_u18491, _u18491, _u18491), c_Transitive__Closure_Ortrancl(_u18491, _u18492)), _u18492))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u18493), tc_List_Olist(_u18493)), tc_HOL_Obool)), c_List_Olistrel(_u18493, _u18494)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18493), c_List_Olistrel1(_u18493, _u18494)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18495), _u18496), hAPP(c_Relation_ODomain(_u18495, _u18495), _u18497))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18495, _u18495)), hAPP(hAPP(c_Product__Type_OPair(_u18495, _u18495), _u18496), _u18498)), c_Transitive__Closure_Ortrancl(_u18495, _u18497))) | ( _u18496 = _u18498) )).
% 29.00/29.21 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18495), _u18496), hAPP(c_Relation_ODomain(_u18495, _u18495), _u18497))) | ( _u18496 != _u18498) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18495, _u18495)), hAPP(hAPP(c_Product__Type_OPair(_u18495, _u18495), _u18496), _u18498)), c_Transitive__Closure_Ortrancl(_u18495, _u18497))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18499, _u18499)), hAPP(hAPP(c_Product__Type_OPair(_u18499, _u18499), _u18500), _u18501)), c_Transitive__Closure_Ortrancl(_u18499, _u18502))) | ~hBOOL(hAPP(hAPP(c_member(_u18499), _u18501), c_Wellfounded_Oacc(_u18499, _u18502))) | hBOOL(hAPP(hAPP(c_member(_u18499), _u18500), c_Wellfounded_Oacc(_u18499, _u18502))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18503), _u18504), c_Wellfounded_Oacc(_u18503, _u18505))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18503, _u18503)), hAPP(hAPP(c_Product__Type_OPair(_u18503, _u18503), _u18506), _u18504)), c_Transitive__Closure_Ortrancl(_u18503, _u18505))) | hBOOL(hAPP(hAPP(c_member(_u18503), _u18506), c_Wellfounded_Oacc(_u18503, _u18505))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u18511, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18511, _u18511)), hAPP(hAPP(c_Product__Type_OPair(_u18511, _u18511), _u18513), _u18515)), _u18517)) | c_Wellfounded_Owf(_u18511, _u18517) )).
% 29.00/29.21 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u18511, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18511, _u18511)), hAPP(hAPP(c_Product__Type_OPair(_u18511, _u18511), _u18513), _u18515)), _u18517)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18511, _u18511)), hAPP(hAPP(c_Product__Type_OPair(_u18511, _u18511), _u18515), _u18513)), c_Transitive__Closure_Ortrancl(_u18511, _u18517))) )).
% 29.00/29.21 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u18512, _u18518) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18512, _u18512)), hAPP(hAPP(c_Product__Type_OPair(_u18512, _u18512), _u18516), _u18514)), c_Transitive__Closure_Ortrancl(_u18512, _u18518))) | c_Wellfounded_Owf(_u18512, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18512, _u18512)), hAPP(hAPP(c_Product__Type_OPair(_u18512, _u18512), _u18514), _u18516)), _u18518)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18519), tc_List_Olist(_u18519))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18519), tc_List_Olist(_u18519)), _u18520), _u18521)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18519), c_List_Olistrel1(_u18519, _u18522)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18519), tc_List_Olist(_u18519))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18519), tc_List_Olist(_u18519)), hAPP(hAPP(c_List_Olist_OCons(_u18519), _u18523), _u18520)), hAPP(hAPP(c_List_Olist_OCons(_u18519), _u18523), _u18521))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18519), c_List_Olistrel1(_u18519, _u18522)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18524), tc_List_Olist(_u18524))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18524), tc_List_Olist(_u18524)), _u18525), _u18526)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18524), c_List_Olistrel1(_u18524, _u18527)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18524)), _u18525) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18524)), _u18526)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u18532, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18532, _u18532)), hAPP(hAPP(c_Product__Type_OPair(_u18532, _u18532), _u18534), _u18536)), _u18538)) | c_Wellfounded_Oacyclic(_u18532, _u18538) )).
% 29.00/29.21 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u18532, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18532, _u18532)), hAPP(hAPP(c_Product__Type_OPair(_u18532, _u18532), _u18534), _u18536)), _u18538)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18532, _u18532)), hAPP(hAPP(c_Product__Type_OPair(_u18532, _u18532), _u18536), _u18534)), c_Transitive__Closure_Ortrancl(_u18532, _u18538))) )).
% 29.00/29.21 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u18533, _u18539) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18533, _u18533)), hAPP(hAPP(c_Product__Type_OPair(_u18533, _u18533), _u18537), _u18535)), c_Transitive__Closure_Ortrancl(_u18533, _u18539))) | c_Wellfounded_Oacyclic(_u18533, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18533, _u18533)), hAPP(hAPP(c_Product__Type_OPair(_u18533, _u18533), _u18535), _u18537)), _u18539)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18540), tc_List_Olist(_u18540))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18540), tc_List_Olist(_u18540)), _u18541), _u18542)), c_List_Olistrel1(_u18540, _u18543))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18540), tc_List_Olist(_u18540))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18540), tc_List_Olist(_u18540)), _u18541), _u18542)), c_List_Olistrel(_u18540, c_Transitive__Closure_Ortrancl(_u18540, _u18543)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18544), tc_List_Olist(_u18544))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18544), tc_List_Olist(_u18544)), _u18545), _u18546)), c_List_Olistrel(_u18544, _u18547))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18544), tc_List_Olist(_u18544))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18544), tc_List_Olist(_u18544)), _u18545), _u18546)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18544), c_List_Olistrel1(_u18544, _u18547)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18548, _u18549) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u18548, _u18548), 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(_u18548, _u18548), tc_HOL_Obool), tc_fun(tc_prod(_u18548, _u18548), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u18548, _u18548), tc_HOL_Obool)), _u18549))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18550, _u18550), tc_HOL_Obool)), c_Relation_OId(_u18550)), _u18551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18550, _u18550), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u18550, _u18550, _u18550), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18550, _u18550), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18550, _u18552)), _u18551)), _u18552)), _u18551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18550, _u18550), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18550, _u18552)), _u18551)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 29.00/29.21 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), _u18555), _u18557)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18555), _u18557)) )).
% 29.00/29.21 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18556), _u18558)) | 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), _u18556), _u18558)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18559, _u18559)), hAPP(hAPP(c_Product__Type_OPair(_u18559, _u18559), _u18560), _u18561)), c_Transitive__Closure_Ortrancl(_u18559, _u18562))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18559, _u18559), tc_HOL_Obool)), _u18562), hAPP(hAPP(c_Product__Type_OSigma(_u18559, _u18559), _u18563), hAPP(c_COMBK(tc_fun(_u18559, tc_HOL_Obool), _u18559), _u18563)))) | ( _u18560 = _u18561) | hBOOL(hAPP(hAPP(c_member(_u18559), _u18560), _u18563)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u18564, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18564, _u18564)), hAPP(hAPP(c_Product__Type_OPair(_u18564, _u18564), _u18565), _u18566)), _u18567)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18564, _u18567)), hAPP(c_Set_OCollect(tc_prod(_u18564, _u18564)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18564, _u18564, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18564, tc_fun(_u18564, tc_HOL_Obool), tc_fun(_u18564, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u18564, tc_HOL_Obool), tc_fun(_u18564, tc_HOL_Obool)), _u18564), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18564)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18564), c_fconj), hAPP(hAPP(c_COMBC(_u18564, tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u18564, _u18564), tc_fun(tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool), tc_HOL_Obool), _u18564), c_member(tc_prod(_u18564, _u18564))), hAPP(hAPP(c_COMBC(_u18564, _u18564, tc_prod(_u18564, _u18564)), c_Product__Type_OPair(_u18564, _u18564)), _u18565))), c_Transitive__Closure_Ortrancl(_u18564, _u18567))))), hAPP(hAPP(c_COMBC(_u18564, tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u18564, _u18564), tc_fun(tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool), tc_HOL_Obool), _u18564), c_member(tc_prod(_u18564, _u18564))), hAPP(c_Product__Type_OPair(_u18564, _u18564), _u18566))), c_Transitive__Closure_Ortrancl(_u18564, _u18567))))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18569, _u18569)), hAPP(hAPP(c_Product__Type_OPair(_u18569, _u18569), hAPP(_u18570, hAPP(c_Nat_OSuc, skolem453(_u18573, _u18572, _u18571, _u18570, _u18569)))), hAPP(_u18570, skolem453(_u18573, _u18572, _u18571, _u18570, _u18569)))), c_Transitive__Closure_Ortrancl(_u18569, _u18571))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18569, _u18569)), hAPP(hAPP(c_Product__Type_OPair(_u18569, _u18569), hAPP(_u18570, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18572), _u18573))), hAPP(_u18570, _u18572))), c_Transitive__Closure_Ortrancl(_u18569, _u18571))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18574, _u18574)), hAPP(hAPP(c_Product__Type_OPair(_u18574, _u18574), _u18575), _u18576)), _u18577)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18574, _u18574)), hAPP(hAPP(c_Product__Type_OPair(_u18574, _u18574), _u18575), _u18576)), c_Transitive__Closure_Otrancl(_u18574, _u18577))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18578, _u18578)), hAPP(hAPP(c_Product__Type_OPair(_u18578, _u18578), _u18579), _u18580)), c_Transitive__Closure_Otrancl(_u18578, _u18581))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18578, _u18578)), hAPP(hAPP(c_Product__Type_OPair(_u18578, _u18578), _u18579), _u18580)), c_Transitive__Closure_Ortrancl(_u18578, _u18581))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18586, _u18586)), hAPP(hAPP(c_Product__Type_OPair(_u18586, _u18586), _u18588), _u18590)), c_Transitive__Closure_Ortrancl(_u18586, _u18592))) | ( _u18588 = _u18590) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18586, _u18586)), hAPP(hAPP(c_Product__Type_OPair(_u18586, _u18586), _u18588), _u18590)), c_Transitive__Closure_Otrancl(_u18586, _u18592))) )).
% 29.00/29.21 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18587, _u18587)), hAPP(hAPP(c_Product__Type_OPair(_u18587, _u18587), _u18589), _u18591)), c_Transitive__Closure_Ortrancl(_u18587, _u18593))) | ( _u18589 != _u18591) )).
% 29.00/29.21 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18587, _u18587)), hAPP(hAPP(c_Product__Type_OPair(_u18587, _u18587), _u18589), _u18591)), c_Transitive__Closure_Ortrancl(_u18587, _u18593))) | ( _u18589 = _u18591) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18587, _u18587)), hAPP(hAPP(c_Product__Type_OPair(_u18587, _u18587), _u18589), _u18591)), c_Transitive__Closure_Otrancl(_u18587, _u18593))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18594, _u18594)), hAPP(hAPP(c_Product__Type_OPair(_u18594, _u18594), _u18595), _u18596)), _u18597)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18594, _u18594)), hAPP(hAPP(c_Product__Type_OPair(_u18594, _u18594), _u18596), _u18598)), c_Transitive__Closure_Ortrancl(_u18594, _u18597))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18594, _u18594)), hAPP(hAPP(c_Product__Type_OPair(_u18594, _u18594), _u18595), _u18598)), c_Transitive__Closure_Otrancl(_u18594, _u18597))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18599, _u18599)), hAPP(hAPP(c_Product__Type_OPair(_u18599, _u18599), _u18600), _u18601)), c_Transitive__Closure_Ortrancl(_u18599, _u18602))) | ( _u18600 = _u18601) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18599, _u18599)), hAPP(hAPP(c_Product__Type_OPair(_u18599, _u18599), _u18600), _u18601)), c_Transitive__Closure_Otrancl(_u18599, _u18602))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18603, _u18603)), hAPP(hAPP(c_Product__Type_OPair(_u18603, _u18603), _u18604), _u18605)), c_Transitive__Closure_Ortrancl(_u18603, _u18606))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18603, _u18603)), hAPP(hAPP(c_Product__Type_OPair(_u18603, _u18603), _u18605), _u18607)), _u18606)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18603, _u18603)), hAPP(hAPP(c_Product__Type_OPair(_u18603, _u18603), _u18604), _u18607)), c_Transitive__Closure_Otrancl(_u18603, _u18606))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18608, _u18608)), hAPP(hAPP(c_Product__Type_OPair(_u18608, _u18608), _u18609), _u18610)), c_Transitive__Closure_Otrancl(_u18608, _u18611))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18608, _u18608)), hAPP(hAPP(c_Product__Type_OPair(_u18608, _u18608), _u18610), _u18612)), c_Transitive__Closure_Ortrancl(_u18608, _u18611))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18608, _u18608)), hAPP(hAPP(c_Product__Type_OPair(_u18608, _u18608), _u18609), _u18612)), c_Transitive__Closure_Otrancl(_u18608, _u18611))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18613, _u18613)), hAPP(hAPP(c_Product__Type_OPair(_u18613, _u18613), _u18614), _u18615)), c_Transitive__Closure_Ortrancl(_u18613, _u18616))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18613, _u18613)), hAPP(hAPP(c_Product__Type_OPair(_u18613, _u18613), _u18615), _u18617)), c_Transitive__Closure_Otrancl(_u18613, _u18616))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18613, _u18613)), hAPP(hAPP(c_Product__Type_OPair(_u18613, _u18613), _u18614), _u18617)), c_Transitive__Closure_Otrancl(_u18613, _u18616))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18618, c_Transitive__Closure_Otrancl(_u18618, _u18619)) = c_Transitive__Closure_Ortrancl(_u18618, _u18619)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u18620, c_Transitive__Closure_Ortrancl(_u18620, _u18621)) = c_Transitive__Closure_Ortrancl(_u18620, _u18621)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u18622, _u18623) = hAPP(hAPP(c_Relation_Orel__comp(_u18622, _u18622, _u18622), c_Transitive__Closure_Ortrancl(_u18622, _u18623)), _u18623)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u18624, _u18625) = hAPP(hAPP(c_Relation_Orel__comp(_u18624, _u18624, _u18624), _u18625), c_Transitive__Closure_Ortrancl(_u18624, _u18625))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u18626, _u18626), c_Transitive__Closure_Otrancl(_u18626, _u18627)) = hAPP(c_Relation_ODomain(_u18626, _u18626), _u18627)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18628, _u18628)), _u18629), c_Transitive__Closure_Otrancl(_u18628, _u18630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18628, _u18628), tc_HOL_Obool)), _u18630), _u18631)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18628, _u18628)), _u18629), c_Transitive__Closure_Otrancl(_u18628, _u18631))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u18632, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u18632, _u18632), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u18632, _u18632), tc_HOL_Obool))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u18633, _u18633), c_Transitive__Closure_Otrancl(_u18633, _u18634)) = hAPP(c_Relation_ORange(_u18633, _u18633), _u18634)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u18635, _u18636) | c_Wellfounded_Owf(_u18635, c_Transitive__Closure_Otrancl(_u18635, _u18636)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18637, _u18637)), _u18638), _u18639)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18637, _u18637)), _u18638), c_Transitive__Closure_Otrancl(_u18637, _u18639))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18642, _u18642)), c_Transitive__Closure_Otrancl(_u18642, _u18644))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18642, _u18642)), _u18644)) )).
% 29.00/29.21 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18643, _u18643)), _u18645)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18643, _u18643)), c_Transitive__Closure_Otrancl(_u18643, _u18645))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u18646, _u18647) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18646, _u18646), tc_HOL_Obool)), _u18647), hAPP(hAPP(c_Relation_Orel__comp(_u18646, _u18646, _u18646), c_Transitive__Closure_Otrancl(_u18646, _u18647)), _u18647))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18648, _u18648)), hAPP(hAPP(c_Product__Type_OPair(_u18648, _u18648), _u18649), _u18650)), _u18651)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18648, _u18648)), hAPP(hAPP(c_Product__Type_OPair(_u18648, _u18648), _u18650), _u18652)), _u18651)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18648, _u18648)), hAPP(hAPP(c_Product__Type_OPair(_u18648, _u18648), _u18649), _u18652)), c_Transitive__Closure_Otrancl(_u18648, _u18651))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18653, _u18653)), hAPP(hAPP(c_Product__Type_OPair(_u18653, _u18653), _u18654), _u18655)), _u18656)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18653, _u18653)), hAPP(hAPP(c_Product__Type_OPair(_u18653, _u18653), _u18655), _u18657)), c_Transitive__Closure_Otrancl(_u18653, _u18656))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18653, _u18653)), hAPP(hAPP(c_Product__Type_OPair(_u18653, _u18653), _u18654), _u18657)), c_Transitive__Closure_Otrancl(_u18653, _u18656))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18658, _u18658)), hAPP(hAPP(c_Product__Type_OPair(_u18658, _u18658), _u18659), _u18660)), c_Transitive__Closure_Otrancl(_u18658, _u18661))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18658, _u18658)), hAPP(hAPP(c_Product__Type_OPair(_u18658, _u18658), _u18660), _u18662)), _u18661)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18658, _u18658)), hAPP(hAPP(c_Product__Type_OPair(_u18658, _u18658), _u18659), _u18662)), c_Transitive__Closure_Otrancl(_u18658, _u18661))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18663, _u18663)), hAPP(hAPP(c_Product__Type_OPair(_u18663, _u18663), _u18664), _u18665)), c_Transitive__Closure_Otrancl(_u18663, _u18666))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18663, _u18663)), hAPP(hAPP(c_Product__Type_OPair(_u18663, _u18663), _u18665), _u18667)), c_Transitive__Closure_Otrancl(_u18663, _u18666))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18663, _u18663)), hAPP(hAPP(c_Product__Type_OPair(_u18663, _u18663), _u18664), _u18667)), c_Transitive__Closure_Otrancl(_u18663, _u18666))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18668, _u18668), tc_HOL_Obool)), _u18669), hAPP(hAPP(c_Product__Type_OSigma(_u18668, _u18668), _u18670), hAPP(c_COMBK(tc_fun(_u18668, tc_HOL_Obool), _u18668), _u18670)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18668, _u18668), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18668, _u18669)), hAPP(hAPP(c_Product__Type_OSigma(_u18668, _u18668), _u18670), hAPP(c_COMBK(tc_fun(_u18668, tc_HOL_Obool), _u18668), _u18670)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u18675, _u18677) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18675, _u18675)), hAPP(hAPP(c_Product__Type_OPair(_u18675, _u18675), _u18671), _u18671)), c_Transitive__Closure_Otrancl(_u18675, _u18677))) )).
% 29.00/29.21 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18676, _u18676)), hAPP(hAPP(c_Product__Type_OPair(_u18676, _u18676), skolem454(_u18678, _u18676)), skolem454(_u18678, _u18676))), c_Transitive__Closure_Otrancl(_u18676, _u18678))) | c_Wellfounded_Oacyclic(_u18676, _u18678) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18679, _u18679), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18679, _u18680)), c_Relation_OId(_u18679)) = c_Transitive__Closure_Ortrancl(_u18679, _u18680)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u18681, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18681, _u18681), tc_HOL_Obool)), _u18682), c_Relation_OId(_u18681))) = c_Transitive__Closure_Ortrancl(_u18681, _u18682)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18683, _u18683), tc_HOL_Obool)), _u18684), _u18685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18683, _u18683), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u18683, _u18683, _u18683), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18683, _u18683), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18683, _u18684)), _u18685)), _u18684)), _u18685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18683, _u18683), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18683, _u18684)), _u18685)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18686, _u18686), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18686, _u18687)), hAPP(hAPP(c_Product__Type_OSigma(_u18686, _u18686), hAPP(c_Relation_OField(_u18686), _u18687)), hAPP(c_COMBK(tc_fun(_u18686, tc_HOL_Obool), _u18686), hAPP(c_Relation_OField(_u18686), _u18687))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18693, _u18693)), _u18695), c_Transitive__Closure_Otrancl(_u18693, _u18697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem455(_u18697, _u18695, _u18693))) )).
% 29.00/29.21 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18693, _u18693)), _u18695), c_Transitive__Closure_Otrancl(_u18693, _u18697))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18693, _u18693)), _u18695), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18693, _u18693), tc_HOL_Obool), skolem455(_u18697, _u18695, _u18693)), _u18697))) )).
% 29.00/29.21 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)), _u18689)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18694, _u18694)), _u18696), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18694, _u18694), tc_HOL_Obool), _u18689), _u18698))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18694, _u18694)), _u18696), c_Transitive__Closure_Otrancl(_u18694, _u18698))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 29.00/29.21 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), _u18701), _u18703)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18701), _u18703)) )).
% 29.00/29.21 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18702), _u18704)) | 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), _u18702), _u18704)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18705, _u18705), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u18705, _u18705), _u18706)), c_Transitive__Closure_Ortrancl(_u18705, _u18706)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u18705, _u18705), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18705, _u18705)), hAPP(hAPP(c_Product__Type_OPair(_u18705, _u18705), _u18707), _u18707)), c_Transitive__Closure_Otrancl(_u18705, _u18706))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18709, _u18709)), hAPP(hAPP(c_Product__Type_OPair(_u18709, _u18709), skolem456(_u18710, _u18709)), skolem456(_u18710, _u18709))), c_Transitive__Closure_Otrancl(_u18709, _u18710))) | c_Wellfounded_Oacyclic(_u18709, _u18710) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u18711, hAPP(c_Relation_Oconverse(_u18711, _u18711), _u18712)) = hAPP(c_Relation_Oconverse(_u18711, _u18711), c_Transitive__Closure_Ortrancl(_u18711, _u18712))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u18713, hAPP(c_Relation_Oconverse(_u18713, _u18713), _u18714)) = hAPP(c_Relation_Oconverse(_u18713, _u18713), c_Transitive__Closure_Otrancl(_u18713, _u18714))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u18715, hAPP(c_Relation_Oconverse(_u18715, _u18715), _u18716)) | c_Wellfounded_Owf(_u18715, hAPP(c_Relation_Oconverse(_u18715, _u18715), c_Transitive__Closure_Otrancl(_u18715, _u18716))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u18719, hAPP(c_Relation_Oconverse(_u18719, _u18719), _u18721)) | c_Wellfounded_Oacyclic(_u18719, _u18721) )).
% 29.00/29.21 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u18720, _u18722) | c_Wellfounded_Oacyclic(_u18720, hAPP(c_Relation_Oconverse(_u18720, _u18720), _u18722)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18723, _u18723), hAPP(hAPP(c_Relation_Oinv__image(_u18724, _u18723), _u18725), _u18726)) = hAPP(hAPP(c_Relation_Oinv__image(_u18724, _u18723), hAPP(c_Relation_Oconverse(_u18724, _u18724), _u18725)), _u18726)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18727, _u18728), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18729, tc_fun(tc_prod(_u18727, _u18728), tc_HOL_Obool)), _u18730), _u18731)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18729, tc_fun(tc_prod(_u18728, _u18727), tc_HOL_Obool)), _u18730), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18727, _u18728), tc_HOL_Obool), tc_fun(tc_prod(_u18728, _u18727), tc_HOL_Obool), _u18729), c_Relation_Oconverse(_u18727, _u18728)), _u18731))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converseD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18732, _u18733)), hAPP(hAPP(c_Product__Type_OPair(_u18732, _u18733), _u18734), _u18735)), hAPP(c_Relation_Oconverse(_u18733, _u18732), _u18736))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18733, _u18732)), hAPP(hAPP(c_Product__Type_OPair(_u18733, _u18732), _u18735), _u18734)), _u18736)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converseI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18737, _u18738)), hAPP(hAPP(c_Product__Type_OPair(_u18737, _u18738), _u18739), _u18740)), _u18741)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18738, _u18737)), hAPP(hAPP(c_Product__Type_OPair(_u18738, _u18737), _u18740), _u18739)), hAPP(c_Relation_Oconverse(_u18737, _u18738), _u18741))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18747, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18747, _u18749), _u18751), _u18753)), hAPP(c_Relation_Oconverse(_u18749, _u18747), _u18755))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18747)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18747), _u18753), _u18751)), _u18755)) )).
% 29.00/29.21 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18748)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18748), _u18754), _u18752)), _u18756)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18748, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18748, _u18750), _u18752), _u18754)), hAPP(c_Relation_Oconverse(_u18750, _u18748), _u18756))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18761), tc_List_Olist(_u18761))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18761), tc_List_Olist(_u18761)), _u18763), _u18765)), c_List_Olistrel1(_u18761, hAPP(c_Relation_Oconverse(_u18761, _u18761), _u18767)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18761), tc_List_Olist(_u18761))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18761), tc_List_Olist(_u18761)), _u18763), _u18765)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u18761), tc_List_Olist(_u18761)), c_List_Olistrel1(_u18761, _u18767)))) )).
% 29.00/29.21 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18762), tc_List_Olist(_u18762))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18762), tc_List_Olist(_u18762)), _u18764), _u18766)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u18762), tc_List_Olist(_u18762)), c_List_Olistrel1(_u18762, _u18768)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18762), tc_List_Olist(_u18762))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18762), tc_List_Olist(_u18762)), _u18764), _u18766)), c_List_Olistrel1(_u18762, hAPP(c_Relation_Oconverse(_u18762, _u18762), _u18768)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18772, _u18774)), hAPP(c_Relation_Oconverse(_u18774, _u18772), _u18776))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18774, _u18772)), _u18776)) )).
% 29.00/29.21 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18775, _u18773)), _u18777)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18773, _u18775)), hAPP(c_Relation_Oconverse(_u18775, _u18773), _u18777))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u18781, _u18783, hAPP(c_Relation_Oconverse(_u18781, _u18781), _u18785)) | c_Relation_Ototal__on(_u18781, _u18783, _u18785) )).
% 29.00/29.21 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u18782, _u18784, _u18786) | c_Relation_Ototal__on(_u18782, _u18784, hAPP(c_Relation_Oconverse(_u18782, _u18782), _u18786)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18787, _u18787), c_Relation_OId__on(_u18787, _u18788)) = c_Relation_OId__on(_u18787, _u18788)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18789, _u18790), hAPP(c_Relation_Oconverse(_u18790, _u18789), _u18791)) = _u18791) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18792, _u18792), c_Relation_OId(_u18792)) = c_Relation_OId(_u18792)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u18793), hAPP(c_Relation_Oconverse(_u18793, _u18793), _u18794)) = hAPP(c_Relation_OField(_u18793), _u18794)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18795, _u18796), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18795, _u18796), tc_HOL_Obool)), _u18797), _u18798)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18796, _u18795), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u18795, _u18796), _u18797)), hAPP(c_Relation_Oconverse(_u18795, _u18796), _u18798))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18799, _u18800), hAPP(hAPP(c_Relation_Orel__comp(_u18799, _u18801, _u18800), _u18802), _u18803)) = hAPP(hAPP(c_Relation_Orel__comp(_u18800, _u18801, _u18799), hAPP(c_Relation_Oconverse(_u18801, _u18800), _u18803)), hAPP(c_Relation_Oconverse(_u18799, _u18801), _u18802))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u18804, hAPP(c_Relation_Oconverse(_u18804, _u18804), _u18805)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u18804), tc_List_Olist(_u18804)), c_List_Olistrel1(_u18804, _u18805))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u18809, _u18811, hAPP(c_Relation_Oconverse(_u18809, _u18809), _u18813)) | c_Relation_Orefl__on(_u18809, _u18811, _u18813) )).
% 29.00/29.21 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u18810, _u18812, _u18814) | c_Relation_Orefl__on(_u18810, _u18812, hAPP(c_Relation_Oconverse(_u18810, _u18810), _u18814)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u18815, _u18816, _u18817) | ( hAPP(hAPP(c_Relation_Orel__comp(_u18815, _u18815, _u18815), hAPP(c_Relation_Oconverse(_u18815, _u18815), _u18817)), _u18817) = _u18817) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18818, _u18819), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18818, _u18819), tc_HOL_Obool)), _u18820), _u18821)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18819, _u18818), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u18818, _u18819), _u18820)), hAPP(c_Relation_Oconverse(_u18818, _u18819), _u18821))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u18822, _u18823), _u18824) = hAPP(c_Relation_ODomain(_u18823, _u18822), hAPP(c_Relation_Oconverse(_u18822, _u18823), _u18824))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u18825, _u18826), hAPP(c_Relation_Oconverse(_u18826, _u18825), _u18827)) = hAPP(c_Relation_ORange(_u18826, _u18825), _u18827)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u18828, _u18829), hAPP(c_Relation_Oconverse(_u18829, _u18828), _u18830)) = hAPP(c_Relation_ODomain(_u18829, _u18828), _u18830)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18831, _u18832), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18833, tc_fun(tc_prod(_u18831, _u18832), tc_HOL_Obool)), _u18834), _u18835)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18833, tc_fun(tc_prod(_u18832, _u18831), tc_HOL_Obool)), _u18834), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18831, _u18832), tc_HOL_Obool), tc_fun(tc_prod(_u18832, _u18831), tc_HOL_Obool), _u18833), c_Relation_Oconverse(_u18831, _u18832)), _u18835))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18836, _u18836)), hAPP(hAPP(c_Product__Type_OPair(_u18836, _u18836), _u18837), _u18838)), c_Transitive__Closure_Ortrancl(_u18836, _u18839))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18836, _u18836)), hAPP(hAPP(c_Product__Type_OPair(_u18836, _u18836), _u18838), _u18837)), c_Transitive__Closure_Ortrancl(_u18836, hAPP(c_Relation_Oconverse(_u18836, _u18836), _u18839)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18840, _u18840)), hAPP(hAPP(c_Product__Type_OPair(_u18840, _u18840), _u18841), _u18842)), c_Transitive__Closure_Ortrancl(_u18840, hAPP(c_Relation_Oconverse(_u18840, _u18840), _u18843)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18840, _u18840)), hAPP(hAPP(c_Product__Type_OPair(_u18840, _u18840), _u18842), _u18841)), c_Transitive__Closure_Ortrancl(_u18840, _u18843))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18844, _u18844)), hAPP(hAPP(c_Product__Type_OPair(_u18844, _u18844), _u18845), _u18846)), hAPP(c_Relation_Oconverse(_u18844, _u18844), c_Transitive__Closure_Otrancl(_u18844, _u18847)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18844, _u18844)), hAPP(hAPP(c_Product__Type_OPair(_u18844, _u18844), _u18845), _u18846)), c_Transitive__Closure_Otrancl(_u18844, hAPP(c_Relation_Oconverse(_u18844, _u18844), _u18847)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18848, _u18848)), hAPP(hAPP(c_Product__Type_OPair(_u18848, _u18848), _u18849), _u18850)), c_Transitive__Closure_Otrancl(_u18848, hAPP(c_Relation_Oconverse(_u18848, _u18848), _u18851)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18848, _u18848)), hAPP(hAPP(c_Product__Type_OPair(_u18848, _u18848), _u18849), _u18850)), hAPP(c_Relation_Oconverse(_u18848, _u18848), c_Transitive__Closure_Otrancl(_u18848, _u18851)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18857, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18859, _u18857, _u18861), _u18863)), _u18865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18859, tc_HOL_Obool)), _u18863), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18859, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18857, _u18859, hAPP(c_Relation_Oconverse(_u18859, _u18857), _u18861)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18857, tc_HOL_Obool)), _u18865))))) )).
% 29.00/29.21 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18860, tc_HOL_Obool)), _u18864), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18860, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18858, _u18860, hAPP(c_Relation_Oconverse(_u18860, _u18858), _u18862)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18858, tc_HOL_Obool)), _u18866))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18858, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18860, _u18858, _u18862), _u18864)), _u18866)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u18867, _u18868, _u18869) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18867, _u18867), tc_HOL_Obool)), _u18869), hAPP(hAPP(c_Relation_Orel__comp(_u18867, _u18867, _u18867), hAPP(c_Relation_Oconverse(_u18867, _u18867), _u18869)), _u18869))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u18870, _u18870, _u18870), hAPP(c_Relation_Oconverse(_u18870, _u18870), _u18871)), _u18871) != _u18871) | ( hAPP(c_Relation_ODomain(_u18870, _u18870), _u18871) != _u18872) | c_Equiv__Relations_Oequiv(_u18870, _u18872, _u18871) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18873, _u18873)), _u18874)) | ~c_Wellfounded_Oacyclic(_u18873, _u18874) | c_Wellfounded_Owf(_u18873, hAPP(c_Relation_Oconverse(_u18873, _u18873), _u18874)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u18875, _u18876), _u18877) = hAPP(c_Set_OCollect(tc_prod(_u18876, _u18875)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18876, _u18875, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18876, tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_fun(_u18875, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18875, tc_fun(tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_fun(_u18875, tc_HOL_Obool)), _u18876), c_COMBC(_u18875, tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18875, tc_prod(_u18875, _u18876)), tc_fun(_u18875, tc_fun(tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_HOL_Obool)), _u18876), hAPP(c_COMBB(tc_prod(_u18875, _u18876), tc_fun(tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_HOL_Obool), _u18875), c_member(tc_prod(_u18875, _u18876)))), hAPP(c_COMBC(_u18875, _u18876, tc_prod(_u18875, _u18876)), c_Product__Type_OPair(_u18875, _u18876))))), _u18877)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u18878, _u18879, hAPP(c_Relation_Oconverse(_u18879, _u18878), _u18880)) | ( _u18881 = c_Orderings_Obot__class_Obot(tc_fun(_u18882, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u18879, _u18878, _u18880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18882, tc_fun(_u18879, tc_HOL_Obool)), _u18881), _u18883)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18882, tc_fun(_u18878, tc_HOL_Obool)), _u18881), hAPP(hAPP(c_COMBB(tc_fun(_u18879, tc_HOL_Obool), tc_fun(_u18878, tc_HOL_Obool), _u18882), c_Relation_OImage(_u18879, _u18878, _u18880)), _u18883))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u18884, _u18885, hAPP(c_Relation_Oconverse(_u18885, _u18884), _u18886)) | ( hAPP(c_Relation_OImage(_u18885, _u18884, _u18886), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18885, tc_HOL_Obool)), _u18887), _u18888)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18884, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18885, _u18884, _u18886), _u18887)), hAPP(c_Relation_OImage(_u18885, _u18884, _u18886), _u18888))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u18889, _u18889, _u18890) | c_Relation_Osingle__valued(_u18889, _u18889, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18889, _u18889), tc_HOL_Obool), _u18891), _u18890)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u18892, _u18892, c_Relation_OId__on(_u18892, _u18893)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18894, _u18895), tc_HOL_Obool)), _u18896), _u18897)) | ~c_Relation_Osingle__valued(_u18894, _u18895, _u18897) | c_Relation_Osingle__valued(_u18894, _u18895, _u18896) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u18898, _u18899, _u18900) | ~c_Relation_Osingle__valued(_u18899, _u18901, _u18902) | c_Relation_Osingle__valued(_u18898, _u18901, hAPP(hAPP(c_Relation_Orel__comp(_u18898, _u18899, _u18901), _u18900), _u18902)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u18903, _u18903, c_Relation_OId(_u18903)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u18904, _u18905, _u18906) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18904, _u18905)), hAPP(hAPP(c_Product__Type_OPair(_u18904, _u18905), _u18907), _u18908)), _u18906)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18904, _u18905)), hAPP(hAPP(c_Product__Type_OPair(_u18904, _u18905), _u18907), _u18909)), _u18906)) | ( _u18908 = _u18909) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u18919, _u18921, _u18923) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18919, _u18921)), hAPP(hAPP(c_Product__Type_OPair(_u18919, _u18921), _u18912), _u18911)), _u18923)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18919, _u18921)), hAPP(hAPP(c_Product__Type_OPair(_u18919, _u18921), _u18912), _u18910)), _u18923)) | ( _u18911 = _u18910) )).
% 29.00/29.21 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u18920, _u18922, _u18924) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18920, _u18922)), hAPP(hAPP(c_Product__Type_OPair(_u18920, _u18922), skolem457(_u18924, _u18922, _u18920)), skolem458(_u18924, _u18922, _u18920))), _u18924)) )).
% 29.00/29.21 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u18920, _u18922, _u18924) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18920, _u18922)), hAPP(hAPP(c_Product__Type_OPair(_u18920, _u18922), skolem457(_u18924, _u18922, _u18920)), skolem459(_u18924, _u18922, _u18920))), _u18924)) )).
% 29.00/29.21 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u18920, _u18922, _u18924) | ( skolem458(_u18924, _u18922, _u18920) != skolem459(_u18924, _u18922, _u18920)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u18925, _u18925, _u18926) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18925, _u18925)), hAPP(hAPP(c_Product__Type_OPair(_u18925, _u18925), _u18927), _u18928)), c_Transitive__Closure_Ortrancl(_u18925, _u18926))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18925, _u18925)), hAPP(hAPP(c_Product__Type_OPair(_u18925, _u18925), _u18927), _u18929)), c_Transitive__Closure_Ortrancl(_u18925, _u18926))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18925, _u18925)), hAPP(hAPP(c_Product__Type_OPair(_u18925, _u18925), _u18928), _u18929)), c_Transitive__Closure_Ortrancl(_u18925, _u18926))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18925, _u18925)), hAPP(hAPP(c_Product__Type_OPair(_u18925, _u18925), _u18929), _u18928)), c_Transitive__Closure_Ortrancl(_u18925, _u18926))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18932, _u18932), tc_HOL_Obool)), _u18935), _u18936)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, _u18935))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), skolem460(_u18936, _u18935, _u18934, _u18933, _u18932)), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, _u18935))) )).
% 29.00/29.21 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18932, _u18932), tc_HOL_Obool)), _u18935), _u18936)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, _u18935))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), skolem461(_u18936, _u18935, _u18934, _u18933, _u18932)), skolem460(_u18936, _u18935, _u18934, _u18933, _u18932))), _u18936)) )).
% 29.00/29.21 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18932, _u18932), tc_HOL_Obool)), _u18935), _u18936)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, _u18935))) | ( skolem461(_u18936, _u18935, _u18934, _u18933, _u18932) != skolem460(_u18936, _u18935, _u18934, _u18933, _u18932)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18939, _u18939), tc_HOL_Obool)), _u18942), _u18943)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, _u18942))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), skolem462(_u18943, _u18942, _u18941, _u18940, _u18939))), c_Transitive__Closure_Ortrancl(_u18939, _u18942))) )).
% 29.00/29.21 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18939, _u18939), tc_HOL_Obool)), _u18942), _u18943)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, _u18942))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), skolem462(_u18943, _u18942, _u18941, _u18940, _u18939)), skolem463(_u18943, _u18942, _u18941, _u18940, _u18939))), _u18943)) )).
% 29.00/29.21 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18939, _u18939), tc_HOL_Obool)), _u18942), _u18943)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, _u18942))) | ( skolem462(_u18943, _u18942, _u18941, _u18940, _u18939) != skolem463(_u18943, _u18942, _u18941, _u18940, _u18939)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), _u18959) != hAPP(c_List_Ofilter(_u18955, _u18961), _u18963)) | hBOOL(hAPP(_u18961, _u18957)) )).
% 29.00/29.21 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), _u18959) != hAPP(c_List_Ofilter(_u18955, _u18961), _u18963)) | ~hBOOL(hAPP(hAPP(c_member(_u18955), _u18944), hAPP(c_List_Oset(_u18955), skolem464(_u18963, _u18961, _u18959, _u18957, _u18955)))) | ~hBOOL(hAPP(_u18961, _u18944)) )).
% 29.00/29.21 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), _u18959) != hAPP(c_List_Ofilter(_u18955, _u18961), _u18963)) | ( _u18963 = hAPP(hAPP(c_List_Oappend(_u18955), skolem464(_u18963, _u18961, _u18959, _u18957, _u18955)), hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), skolem465(_u18963, _u18961, _u18959, _u18957, _u18955)))) )).
% 29.00/29.21 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), _u18959) != hAPP(c_List_Ofilter(_u18955, _u18961), _u18963)) | ( _u18959 = hAPP(c_List_Ofilter(_u18955, _u18961), skolem465(_u18963, _u18961, _u18959, _u18957, _u18955))) )).
% 29.00/29.21 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18956), _u18958), _u18960) = hAPP(c_List_Ofilter(_u18956, _u18962), _u18964)) | ~hBOOL(hAPP(_u18962, _u18958)) | ( _u18964 != hAPP(hAPP(c_List_Oappend(_u18956), _u18949), hAPP(hAPP(c_List_Olist_OCons(_u18956), _u18958), _u18948))) | ( _u18960 != hAPP(c_List_Ofilter(_u18956, _u18962), _u18948)) | hBOOL(hAPP(hAPP(c_member(_u18956), skolem466(_u18964, _u18962, _u18960, _u18958, _u18956, _u18949)), hAPP(c_List_Oset(_u18956), _u18949))) )).
% 29.00/29.21 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18956), _u18958), _u18960) = hAPP(c_List_Ofilter(_u18956, _u18962), _u18964)) | ~hBOOL(hAPP(_u18962, _u18958)) | ( _u18964 != hAPP(hAPP(c_List_Oappend(_u18956), _u18949), hAPP(hAPP(c_List_Olist_OCons(_u18956), _u18958), _u18948))) | ( _u18960 != hAPP(c_List_Ofilter(_u18956, _u18962), _u18948)) | hBOOL(hAPP(_u18962, skolem466(_u18964, _u18962, _u18960, _u18958, _u18956, _u18949))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18966, _u18966)), hAPP(hAPP(c_Product__Type_OPair(_u18966, _u18966), _u18967), _u18968)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18966, _u18966), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18969)), _u18970))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18966, _u18966)), hAPP(hAPP(c_Product__Type_OPair(_u18966, _u18966), _u18967), skolem467(_u18970, _u18969, _u18968, _u18967, _u18966))), _u18970)) )).
% 29.00/29.21 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18966, _u18966)), hAPP(hAPP(c_Product__Type_OPair(_u18966, _u18966), _u18967), _u18968)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18966, _u18966), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18969)), _u18970))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18966, _u18966)), hAPP(hAPP(c_Product__Type_OPair(_u18966, _u18966), skolem467(_u18970, _u18969, _u18968, _u18967, _u18966)), _u18968)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18966, _u18966), tc_HOL_Obool), _u18969), _u18970))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18972, _u18972)), hAPP(hAPP(c_Product__Type_OPair(_u18972, _u18972), _u18973), _u18974)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18972, _u18972), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18975)), _u18976))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18972, _u18972)), hAPP(hAPP(c_Product__Type_OPair(_u18972, _u18972), _u18973), skolem468(_u18976, _u18975, _u18974, _u18973, _u18972))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18972, _u18972), tc_HOL_Obool), _u18975), _u18976))) )).
% 29.00/29.21 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18972, _u18972)), hAPP(hAPP(c_Product__Type_OPair(_u18972, _u18972), _u18973), _u18974)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18972, _u18972), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18975)), _u18976))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18972, _u18972)), hAPP(hAPP(c_Product__Type_OPair(_u18972, _u18972), skolem468(_u18976, _u18975, _u18974, _u18973, _u18972)), _u18974)), _u18976)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18978, _u18978)), hAPP(hAPP(c_Product__Type_OPair(_u18978, _u18978), _u18979), _u18980)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18978, _u18978), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18981)), _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18978, _u18978)), hAPP(hAPP(c_Product__Type_OPair(_u18978, _u18978), _u18979), skolem469(_u18982, _u18981, _u18980, _u18979, _u18978))), _u18982)) )).
% 29.00/29.21 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18978, _u18978)), hAPP(hAPP(c_Product__Type_OPair(_u18978, _u18978), _u18979), _u18980)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18978, _u18978), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18981)), _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18978, _u18978)), hAPP(hAPP(c_Product__Type_OPair(_u18978, _u18978), skolem469(_u18982, _u18981, _u18980, _u18979, _u18978)), _u18980)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18978, _u18978), tc_HOL_Obool), _u18981), _u18982))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18984, tc_HOL_Obool)), _u18985), _u18986)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18984, _u18987), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u18984, _u18987), _u18985), _u18988)), hAPP(hAPP(c_Product__Type_OSigma(_u18984, _u18987), _u18986), _u18989))) | hBOOL(hAPP(hAPP(c_member(_u18984), skolem470(_u18989, _u18988, _u18987, _u18986, _u18985, _u18984)), _u18985)) )).
% 29.00/29.21 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18984, tc_HOL_Obool)), _u18985), _u18986)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18984, _u18987), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u18984, _u18987), _u18985), _u18988)), hAPP(hAPP(c_Product__Type_OSigma(_u18984, _u18987), _u18986), _u18989))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18987, tc_HOL_Obool)), hAPP(_u18988, skolem470(_u18989, _u18988, _u18987, _u18986, _u18985, _u18984))), hAPP(_u18989, skolem470(_u18989, _u18988, _u18987, _u18986, _u18985, _u18984)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18991, _u18991)), hAPP(hAPP(c_Product__Type_OPair(_u18991, _u18991), _u18992), _u18993)), c_Transitive__Closure_Otrancl(_u18991, _u18994))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18991, _u18991)), hAPP(hAPP(c_Product__Type_OPair(_u18991, _u18991), _u18992), skolem471(_u18994, _u18993, _u18992, _u18991))), c_Transitive__Closure_Ortrancl(_u18991, _u18994))) )).
% 29.00/29.21 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18991, _u18991)), hAPP(hAPP(c_Product__Type_OPair(_u18991, _u18991), _u18992), _u18993)), c_Transitive__Closure_Otrancl(_u18991, _u18994))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18991, _u18991)), hAPP(hAPP(c_Product__Type_OPair(_u18991, _u18991), skolem471(_u18994, _u18993, _u18992, _u18991)), _u18993)), _u18994)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18996, _u18996)), hAPP(hAPP(c_Product__Type_OPair(_u18996, _u18996), _u18997), _u18998)), c_Transitive__Closure_Otrancl(_u18996, _u18999))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18996, _u18996)), hAPP(hAPP(c_Product__Type_OPair(_u18996, _u18996), _u18997), skolem472(_u18999, _u18998, _u18997, _u18996))), _u18999)) )).
% 29.00/29.21 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18996, _u18996)), hAPP(hAPP(c_Product__Type_OPair(_u18996, _u18996), _u18997), _u18998)), c_Transitive__Closure_Otrancl(_u18996, _u18999))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18996, _u18996)), hAPP(hAPP(c_Product__Type_OPair(_u18996, _u18996), skolem472(_u18999, _u18998, _u18997, _u18996)), _u18998)), c_Transitive__Closure_Ortrancl(_u18996, _u18999))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19001), _u19002), c_Wellfounded_Oacc(_u19001, _u19003))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u19001)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u19001), skolem473(_u19003, _u19002, _u19001)), _u19002)), _u19003)) )).
% 29.00/29.21 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19001), _u19002), c_Wellfounded_Oacc(_u19001, _u19003))) | ~hBOOL(hAPP(hAPP(c_member(_u19001), skolem473(_u19003, _u19002, _u19001)), c_Wellfounded_Oacc(_u19001, _u19003))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19005), _u19006), c_Wellfounded_Oacc(_u19005, _u19007))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19005, _u19005)), hAPP(hAPP(c_Product__Type_OPair(_u19005, _u19005), skolem474(_u19007, _u19006, _u19005)), _u19006)), _u19007)) )).
% 29.00/29.21 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19005), _u19006), c_Wellfounded_Oacc(_u19005, _u19007))) | ~hBOOL(hAPP(hAPP(c_member(_u19005), skolem474(_u19007, _u19006, _u19005)), c_Wellfounded_Oacc(_u19005, _u19007))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19010), _u19011)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19009, _u19010, c_Groups_Otimes__class_Otimes(_u19009)), _u19012), c_Groups_Oone__class_Oone(_u19009)), _u19011) = c_Groups_Oone__class_Oone(_u19009)) | hBOOL(hAPP(hAPP(c_member(_u19010), skolem475(_u19012, _u19011, _u19010, _u19009)), _u19011)) )).
% 29.00/29.21 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19010), _u19011)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19009, _u19010, c_Groups_Otimes__class_Otimes(_u19009)), _u19012), c_Groups_Oone__class_Oone(_u19009)), _u19011) = c_Groups_Oone__class_Oone(_u19009)) | ( hAPP(_u19012, skolem475(_u19012, _u19011, _u19010, _u19009)) != c_Groups_Oone__class_Oone(_u19009)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u19013) | ~class_Enum_Oenum(_u19014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19014, _u19013)), _u19015), _u19016)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19014), hAPP(hAPP(c_COMBS(_u19014, _u19013, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19013, tc_fun(_u19013, tc_HOL_Obool), _u19014), c_Orderings_Oord__class_Oless__eq(_u19013)), _u19015)), _u19016))) )).
% 29.00/29.21 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u19013) | ~class_Enum_Oenum(_u19014) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19014), hAPP(hAPP(c_COMBS(_u19014, _u19013, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19013, tc_fun(_u19013, tc_HOL_Obool), _u19014), c_Orderings_Oord__class_Oless__eq(_u19013)), _u19015)), _u19016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19014, _u19013)), _u19015), _u19016)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19018), _u19019)) | ( hAPP(c_Finite__Set_Ocard(_u19018), _u19019) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19018), skolem476(_u19019, _u19018)), _u19019)) )).
% 29.00/29.21 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19018), _u19019)) | ( hAPP(c_Finite__Set_Ocard(_u19018), _u19019) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_all__code ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u19022) | ~hBOOL(hAPP(_u19023, skolem477(_u19023, _u19022))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19022), _u19023)) )).
% 29.00/29.21 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u19022) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19022), _u19023)) | hBOOL(hAPP(_u19023, _u19021)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u19026) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19026), _u19027)) | hBOOL(hAPP(_u19027, _u19024)) )).
% 29.00/29.21 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u19026) | ~hBOOL(hAPP(_u19027, skolem478(_u19027, _u19026))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19026), _u19027)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u19028) | ~class_Enum_Oenum(_u19029) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u19029, _u19028)), _u19030)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19029), hAPP(hAPP(c_COMBB(tc_fun(_u19028, tc_HOL_Obool), tc_HOL_Obool, _u19029), c_Enum_Oenum__class_Oenum__all(_u19028)), hAPP(hAPP(c_COMBB(tc_fun(_u19028, tc_prod(_u19029, _u19028)), tc_fun(_u19028, tc_HOL_Obool), _u19029), hAPP(c_COMBB(tc_prod(_u19029, _u19028), tc_HOL_Obool, _u19028), _u19030)), c_Product__Type_OPair(_u19029, _u19028))))) )).
% 29.00/29.21 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u19028) | ~class_Enum_Oenum(_u19029) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19029), hAPP(hAPP(c_COMBB(tc_fun(_u19028, tc_HOL_Obool), tc_HOL_Obool, _u19029), c_Enum_Oenum__class_Oenum__all(_u19028)), hAPP(hAPP(c_COMBB(tc_fun(_u19028, tc_prod(_u19029, _u19028)), tc_fun(_u19028, tc_HOL_Obool), _u19029), hAPP(c_COMBB(tc_prod(_u19029, _u19028), tc_HOL_Obool, _u19028), _u19030)), c_Product__Type_OPair(_u19029, _u19028))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u19029, _u19028)), _u19030)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19039), _u19041)) )).
% 29.00/29.21 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19039), _u19043)) )).
% 29.00/29.21 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | ( _u19043 != c_Orderings_Obot__class_Obot(tc_fun(_u19039, tc_HOL_Obool))) )).
% 29.00/29.21 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | ~hBOOL(hAPP(hAPP(c_member(_u19039), _u19032), _u19041)) | hBOOL(hAPP(hAPP(c_member(_u19039), skolem479(_u19045, _u19043, _u19041, _u19039, _u19032)), _u19043)) )).
% 29.00/29.21 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | ~hBOOL(hAPP(hAPP(c_member(_u19039), _u19032), _u19041)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19039, _u19039)), hAPP(hAPP(c_Product__Type_OPair(_u19039, _u19039), _u19032), skolem479(_u19045, _u19043, _u19041, _u19039, _u19032))), _u19045)) )).
% 29.00/29.21 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19040, tc_HOL_Obool), tc_fun(_u19040, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19040, tc_HOL_Obool), tc_fun(_u19040, tc_HOL_Obool)), _u19042), _u19044)), c_Wellfounded_Omax__ext(_u19040, _u19046))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19040), _u19042)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19040), _u19044)) | ( _u19044 = c_Orderings_Obot__class_Obot(tc_fun(_u19040, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19040), skolem480(_u19046, _u19044, _u19042, _u19040)), _u19042)) )).
% 29.00/29.21 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19040, tc_HOL_Obool), tc_fun(_u19040, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19040, tc_HOL_Obool), tc_fun(_u19040, tc_HOL_Obool)), _u19042), _u19044)), c_Wellfounded_Omax__ext(_u19040, _u19046))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19040), _u19042)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19040), _u19044)) | ( _u19044 = c_Orderings_Obot__class_Obot(tc_fun(_u19040, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19040), _u19033), _u19044)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19040, _u19040)), hAPP(hAPP(c_Product__Type_OPair(_u19040, _u19040), skolem480(_u19046, _u19044, _u19042, _u19040)), _u19033)), _u19046)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19048), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19049)), _u19050))) | hBOOL(hAPP(_u19051, hAPP(hAPP(c_List_Onth(_u19049), _u19050), _u19048))) | hBOOL(hAPP(hAPP(c_member(_u19049), skolem481(_u19051, _u19050, _u19049, _u19048)), hAPP(c_List_Oset(_u19049), _u19050))) )).
% 29.00/29.21 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19048), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19049)), _u19050))) | hBOOL(hAPP(_u19051, hAPP(hAPP(c_List_Onth(_u19049), _u19050), _u19048))) | ~hBOOL(hAPP(_u19051, skolem481(_u19051, _u19050, _u19049, _u19048))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u19053) | ~c_List_Olinorder__class_Osorted(_u19053, _u19054) | c_List_Olinorder__class_Osorted(_u19053, hAPP(hAPP(c_List_Olist_OCons(_u19053), _u19055), _u19054)) | hBOOL(hAPP(hAPP(c_member(_u19053), skolem482(_u19055, _u19054, _u19053)), hAPP(c_List_Oset(_u19053), _u19054))) )).
% 29.00/29.21 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u19053) | ~c_List_Olinorder__class_Osorted(_u19053, _u19054) | c_List_Olinorder__class_Osorted(_u19053, hAPP(hAPP(c_List_Olist_OCons(_u19053), _u19055), _u19054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19053), _u19055), skolem482(_u19055, _u19054, _u19053))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_InterI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19057), _u19059), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19057, tc_HOL_Obool), _u19058))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19057, tc_HOL_Obool)), skolem483(_u19059, _u19058, _u19057)), _u19058)) )).
% 29.00/29.21 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19057), _u19059), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19057, tc_HOL_Obool), _u19058))) | ~hBOOL(hAPP(hAPP(c_member(_u19057), _u19059), skolem483(_u19059, _u19058, _u19057))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u19061) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19062), _u19063)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19061, _u19062, c_Groups_Otimes__class_Otimes(_u19061)), _u19064), _u19066), _u19063) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19061, _u19062, c_Groups_Otimes__class_Otimes(_u19061)), _u19065), _u19066), _u19063)) | hBOOL(hAPP(hAPP(c_member(_u19062), skolem484(_u19066, _u19065, _u19064, _u19063, _u19062, _u19061)), _u19063)) )).
% 29.00/29.21 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u19061) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19062), _u19063)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19061, _u19062, c_Groups_Otimes__class_Otimes(_u19061)), _u19064), _u19066), _u19063) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19061, _u19062, c_Groups_Otimes__class_Otimes(_u19061)), _u19065), _u19066), _u19063)) | ( hAPP(_u19064, skolem484(_u19066, _u19065, _u19064, _u19063, _u19062, _u19061)) != hAPP(_u19065, skolem484(_u19066, _u19065, _u19064, _u19063, _u19062, _u19061))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u19068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19068), _u19069)) | ~hBOOL(hAPP(hAPP(c_member(_u19068), _u19070), _u19069)) | ( c_Big__Operators_Olinorder__class_OMin(_u19068, _u19069) = _u19070) | hBOOL(hAPP(hAPP(c_member(_u19068), skolem485(_u19070, _u19069, _u19068)), _u19069)) )).
% 29.00/29.21 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u19068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19068), _u19069)) | ~hBOOL(hAPP(hAPP(c_member(_u19068), _u19070), _u19069)) | ( c_Big__Operators_Olinorder__class_OMin(_u19068, _u19069) = _u19070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19068), _u19070), skolem485(_u19070, _u19069, _u19068))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u19072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19072), _u19073)) | ~hBOOL(hAPP(hAPP(c_member(_u19072), _u19074), _u19073)) | ( c_Big__Operators_Olinorder__class_OMax(_u19072, _u19073) = _u19074) | hBOOL(hAPP(hAPP(c_member(_u19072), skolem486(_u19074, _u19073, _u19072)), _u19073)) )).
% 29.00/29.21 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u19072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19072), _u19073)) | ~hBOOL(hAPP(hAPP(c_member(_u19072), _u19074), _u19073)) | ( c_Big__Operators_Olinorder__class_OMax(_u19072, _u19073) = _u19074) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19072), skolem486(_u19074, _u19073, _u19072)), _u19074)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u19076, _u19077) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19076, _u19076)), hAPP(hAPP(c_Product__Type_OPair(_u19076, _u19076), hAPP(_u19078, hAPP(c_Nat_OSuc, skolem487(_u19078, _u19077, _u19076)))), hAPP(_u19078, skolem487(_u19078, _u19077, _u19076)))), _u19077)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u19084, _u19086, _u19088) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem488(_u19088, _u19086, _u19084)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19084)), _u19088))) )).
% 29.00/29.21 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u19084, _u19086, _u19088) | hBOOL(hAPP(_u19086, hAPP(hAPP(c_List_Onth(_u19084), _u19088), skolem488(_u19088, _u19086, _u19084)))) )).
% 29.00/29.21 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19080), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19085)), _u19089))) | ~hBOOL(hAPP(_u19087, hAPP(hAPP(c_List_Onth(_u19085), _u19089), _u19080))) | c_List_Olist__ex(_u19085, _u19087, _u19089) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19091) | ~c_Fun_Oinj__on(_u19092, _u19093, _u19094, _u19095) | ( _u19096 != hAPP(c_Set_Oimage(_u19092, _u19093, _u19094), _u19095)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19093, _u19091), _u19098), _u19096) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19092, _u19091), _u19097), _u19095)) | hBOOL(hAPP(hAPP(c_member(_u19092), skolem489(_u19098, _u19097, _u19096, _u19095, _u19094, _u19093, _u19092, _u19091)), _u19095)) )).
% 29.00/29.21 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19091) | ~c_Fun_Oinj__on(_u19092, _u19093, _u19094, _u19095) | ( _u19096 != hAPP(c_Set_Oimage(_u19092, _u19093, _u19094), _u19095)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19093, _u19091), _u19098), _u19096) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19092, _u19091), _u19097), _u19095)) | ( hAPP(_u19097, skolem489(_u19098, _u19097, _u19096, _u19095, _u19094, _u19093, _u19092, _u19091)) != hAPP(_u19098, hAPP(_u19094, skolem489(_u19098, _u19097, _u19096, _u19095, _u19094, _u19093, _u19092, _u19091)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u19103, _u19105, hAPP(hAPP(c_List_Olist_OCons(_u19103), _u19107), _u19109)) | hBOOL(hAPP(_u19105, _u19107)) | c_List_Olist__ex(_u19103, _u19105, _u19109) )).
% 29.00/29.21 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u19104, _u19106, hAPP(hAPP(c_List_Olist_OCons(_u19104), _u19108), _u19110)) | ~hBOOL(hAPP(_u19106, _u19108)) )).
% 29.00/29.21 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u19104, _u19106, hAPP(hAPP(c_List_Olist_OCons(_u19104), _u19108), _u19110)) | ~c_List_Olist__ex(_u19104, _u19106, _u19110) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u19115, _u19117, hAPP(hAPP(c_List_Oappend(_u19115), _u19119), _u19121)) | c_List_Olist__ex(_u19115, _u19117, _u19119) | c_List_Olist__ex(_u19115, _u19117, _u19121) )).
% 29.00/29.21 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u19116, _u19118, hAPP(hAPP(c_List_Oappend(_u19116), _u19120), _u19122)) | ~c_List_Olist__ex(_u19116, _u19118, _u19120) )).
% 29.00/29.21 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u19116, _u19118, hAPP(hAPP(c_List_Oappend(_u19116), _u19120), _u19122)) | ~c_List_Olist__ex(_u19116, _u19118, _u19122) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u19128, _u19130, _u19132) | hBOOL(hAPP(hAPP(c_member(_u19128), skolem490(_u19132, _u19130, _u19128)), hAPP(c_List_Oset(_u19128), _u19132))) )).
% 29.00/29.21 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u19128, _u19130, _u19132) | hBOOL(hAPP(_u19130, skolem490(_u19132, _u19130, _u19128))) )).
% 29.00/29.21 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19129), _u19124), hAPP(c_List_Oset(_u19129), _u19133))) | ~hBOOL(hAPP(_u19131, _u19124)) | c_List_Olist__ex(_u19129, _u19131, _u19133) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u19137, _u19139, hAPP(c_List_Orev(_u19137), _u19141)) | c_List_Olist__ex(_u19137, _u19139, _u19141) )).
% 29.00/29.21 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u19138, _u19140, _u19142) | c_List_Olist__ex(_u19138, _u19140, hAPP(c_List_Orev(_u19138), _u19142)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u19143, _u19144, c_List_Olist_ONil(_u19143)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_IdE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19146, _u19146)), _u19147), c_Relation_OId(_u19146))) | ( _u19147 = hAPP(hAPP(c_Product__Type_OPair(_u19146, _u19146), skolem491(_u19147, _u19146)), skolem491(_u19147, _u19146))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19149) | ~class_Orderings_Oord(_u19150) | ( _u19151 != _u19152) | ( _u19153 != _u19154) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19155), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19151), _u19153)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19156), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19152), _u19154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19150), _u19152), skolem492(_u19156, _u19155, _u19154, _u19153, _u19152, _u19151, _u19150, _u19149))) )).
% 29.00/29.21 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19149) | ~class_Orderings_Oord(_u19150) | ( _u19151 != _u19152) | ( _u19153 != _u19154) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19155), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19151), _u19153)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19156), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19152), _u19154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19150), skolem492(_u19156, _u19155, _u19154, _u19153, _u19152, _u19151, _u19150, _u19149)), _u19154)) )).
% 29.00/29.21 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19149) | ~class_Orderings_Oord(_u19150) | ( _u19151 != _u19152) | ( _u19153 != _u19154) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19155), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19151), _u19153)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19156), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19152), _u19154))) | ( hAPP(_u19155, skolem492(_u19156, _u19155, _u19154, _u19153, _u19152, _u19151, _u19150, _u19149)) != hAPP(_u19156, skolem492(_u19156, _u19155, _u19154, _u19153, _u19152, _u19151, _u19150, _u19149))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19164), _u19166), hAPP(c_List_Oset(_u19164), _u19168))) | ( _u19168 = hAPP(hAPP(c_List_Oappend(_u19164), skolem493(_u19168, _u19166, _u19164)), hAPP(hAPP(c_List_Olist_OCons(_u19164), _u19166), skolem494(_u19168, _u19166, _u19164)))) )).
% 29.00/29.21 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19164), _u19166), hAPP(c_List_Oset(_u19164), _u19168))) | ~hBOOL(hAPP(hAPP(c_member(_u19164), _u19166), hAPP(c_List_Oset(_u19164), skolem493(_u19168, _u19166, _u19164)))) )).
% 29.00/29.21 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u19169 != hAPP(hAPP(c_List_Oappend(_u19165), _u19160), hAPP(hAPP(c_List_Olist_OCons(_u19165), _u19167), _u19159))) | hBOOL(hAPP(hAPP(c_member(_u19165), _u19167), hAPP(c_List_Oset(_u19165), _u19160))) | hBOOL(hAPP(hAPP(c_member(_u19165), _u19167), hAPP(c_List_Oset(_u19165), _u19169))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19177), _u19179), hAPP(c_List_Oset(_u19177), _u19181))) | ( _u19181 = hAPP(hAPP(c_List_Oappend(_u19177), skolem495(_u19181, _u19179, _u19177)), hAPP(hAPP(c_List_Olist_OCons(_u19177), _u19179), skolem496(_u19181, _u19179, _u19177)))) )).
% 29.00/29.21 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19177), _u19179), hAPP(c_List_Oset(_u19177), _u19181))) | ~hBOOL(hAPP(hAPP(c_member(_u19177), _u19179), hAPP(c_List_Oset(_u19177), skolem496(_u19181, _u19179, _u19177)))) )).
% 29.00/29.21 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u19182 != hAPP(hAPP(c_List_Oappend(_u19178), _u19173), hAPP(hAPP(c_List_Olist_OCons(_u19178), _u19180), _u19172))) | hBOOL(hAPP(hAPP(c_member(_u19178), _u19180), hAPP(c_List_Oset(_u19178), _u19172))) | hBOOL(hAPP(hAPP(c_member(_u19178), _u19180), hAPP(c_List_Oset(_u19178), _u19182))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19190), _u19192), hAPP(c_List_Oset(_u19190), _u19194))) | ( _u19194 = hAPP(hAPP(c_List_Oappend(_u19190), skolem497(_u19194, _u19192, _u19190)), hAPP(hAPP(c_List_Olist_OCons(_u19190), _u19192), skolem498(_u19194, _u19192, _u19190)))) )).
% 29.00/29.21 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u19195 != hAPP(hAPP(c_List_Oappend(_u19191), _u19186), hAPP(hAPP(c_List_Olist_OCons(_u19191), _u19193), _u19185))) | hBOOL(hAPP(hAPP(c_member(_u19191), _u19193), hAPP(c_List_Oset(_u19191), _u19195))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u19196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19196), _u19197)) | hBOOL(hAPP(hAPP(c_member(_u19196), _u19198), _u19197)) | ( c_Big__Operators_Olattice_OSup__fin(_u19196, c_Orderings_Oord__class_Omax(_u19196), hAPP(hAPP(c_Set_Oinsert(_u19196), _u19198), _u19197)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19196, _u19196, c_Orderings_Oord__class_Omax(_u19196)), _u19198), _u19197)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19199), _u19200)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19199), _u19201), c_Complete__Lattice_OSup__class_OSup(_u19199, _u19200)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19199, _u19199, c_Lattices_Osemilattice__sup__class_Osup(_u19199)), _u19201), _u19200)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19202), _u19203)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19202), _u19204), c_Complete__Lattice_OInf__class_OInf(_u19202, _u19203)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19202, _u19202, c_Lattices_Osemilattice__inf__class_Oinf(_u19202)), _u19204), _u19203)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u19205, _u19206, _u19207), _u19208), _u19209) = c_HOL_OThe(_u19206, c_Finite__Set_Ofold__graph(_u19205, _u19206, _u19207, _u19208, _u19209))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u19210, _u19211, _u19212, _u19213) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19210), _u19214)) | ( hAPP(hAPP(_u19213, _u19214), _u19215) = hAPP(hAPP(c_Finite__Set_Ofold(_u19210, _u19211, _u19212), _u19215), _u19214)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u19216, _u19217, _u19218), _u19219) = c_Finite__Set_Ofold(_u19217, _u19216, hAPP(hAPP(c_COMBB(_u19216, tc_fun(_u19216, _u19216), _u19217), _u19218), _u19219))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u19220, _u19221, _u19222), _u19223), c_Orderings_Obot__class_Obot(tc_fun(_u19220, tc_HOL_Obool))) = _u19223) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u19224) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19224), _u19225)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19224, _u19224, c_Lattices_Osemilattice__inf__class_Oinf(_u19224)), _u19226), hAPP(hAPP(c_Set_Oinsert(_u19224), _u19227), _u19225)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19224), _u19227), hAPP(hAPP(c_Finite__Set_Ofold(_u19224, _u19224, c_Lattices_Osemilattice__inf__class_Oinf(_u19224)), _u19226), _u19225))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u19228) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19228), _u19229)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19228, _u19228, c_Lattices_Osemilattice__sup__class_Osup(_u19228)), _u19230), hAPP(hAPP(c_Set_Oinsert(_u19228), _u19231), _u19229)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19228), _u19231), hAPP(hAPP(c_Finite__Set_Ofold(_u19228, _u19228, c_Lattices_Osemilattice__sup__class_Osup(_u19228)), _u19230), _u19229))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19232), _u19233)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19232, tc_HOL_Obool)), _u19233), _u19234) = hAPP(hAPP(c_Finite__Set_Ofold(_u19232, tc_fun(_u19232, tc_HOL_Obool), c_Set_Oinsert(_u19232)), _u19234), _u19233)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u19235) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19235), _u19236)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19235, _u19235, c_Orderings_Oord__class_Omax(_u19235)), _u19237), hAPP(hAPP(c_Set_Oinsert(_u19235), _u19238), _u19236)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19235), _u19238), hAPP(hAPP(c_Finite__Set_Ofold(_u19235, _u19235, c_Orderings_Oord__class_Omax(_u19235)), _u19237), _u19236))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u19239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19239), _u19240)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19239, _u19239, c_Orderings_Oord__class_Omin(_u19239)), _u19241), hAPP(hAPP(c_Set_Oinsert(_u19239), _u19242), _u19240)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u19239), _u19242), hAPP(hAPP(c_Finite__Set_Ofold(_u19239, _u19239, c_Orderings_Oord__class_Omin(_u19239)), _u19241), _u19240))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19243, _u19244, _u19245) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19243), _u19246)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19243, _u19244, _u19245), _u19247), hAPP(hAPP(c_Set_Oinsert(_u19243), _u19248), _u19246)) = hAPP(hAPP(_u19245, _u19248), hAPP(hAPP(c_Finite__Set_Ofold(_u19243, _u19244, _u19245), _u19247), _u19246))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19249, _u19250, _u19251) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19249), _u19252)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19249, _u19250, _u19251), _u19253), hAPP(hAPP(c_Set_Oinsert(_u19249), _u19254), _u19252)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19249, _u19250, _u19251), hAPP(hAPP(_u19251, _u19254), _u19253)), _u19252)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19255) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19256), _u19257)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19255), _u19258), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19256, _u19255), _u19257), _u19259)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19256, _u19255, hAPP(hAPP(c_COMBB(_u19255, tc_fun(_u19255, _u19255), _u19256), c_Lattices_Osemilattice__sup__class_Osup(_u19255)), _u19259)), _u19258), _u19257)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19260) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19261), _u19262)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19260), _u19263), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19261, _u19260), _u19262), _u19264)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19261, _u19260, hAPP(hAPP(c_COMBB(_u19260, tc_fun(_u19260, _u19260), _u19261), c_Lattices_Osemilattice__inf__class_Oinf(_u19260)), _u19264)), _u19263), _u19262)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u19265, _u19266, _u19267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19265), _u19268)) | ( hAPP(_u19267, hAPP(hAPP(c_Set_Oinsert(_u19265), _u19269), _u19268)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19265, _u19265, _u19266), _u19269), _u19268)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19270, _u19271, _u19272) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19270, _u19271, _u19272), _u19273), hAPP(c_List_Oset(_u19270), _u19274)) = hAPP(c_List_Ofoldl(_u19271, _u19270, hAPP(c_COMBC(_u19270, _u19271, _u19271), _u19272), _u19273), _u19274)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u19275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19275), _u19276)) | ~hBOOL(hAPP(hAPP(c_member(_u19275), _u19277), _u19276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19275), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19275), _u19277), _u19278)), hAPP(hAPP(c_Finite__Set_Ofold(_u19275, _u19275, c_Lattices_Osemilattice__sup__class_Osup(_u19275)), _u19278), _u19276))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u19279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19279), _u19280)) | ~hBOOL(hAPP(hAPP(c_member(_u19279), _u19281), _u19280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19279), hAPP(hAPP(c_Finite__Set_Ofold(_u19279, _u19279, c_Lattices_Osemilattice__inf__class_Oinf(_u19279)), _u19282), _u19280)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19279), _u19281), _u19282))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u19283) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19283), _u19284)) | ~hBOOL(hAPP(hAPP(c_member(_u19283), _u19285), _u19284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19283), hAPP(hAPP(c_Finite__Set_Ofold(_u19283, _u19283, c_Orderings_Oord__class_Omin(_u19283)), _u19286), _u19284)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u19283), _u19285), _u19286))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u19287) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19287), _u19288)) | ~hBOOL(hAPP(hAPP(c_member(_u19287), _u19289), _u19288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19287), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19287), _u19289), _u19290)), hAPP(hAPP(c_Finite__Set_Ofold(_u19287, _u19287, c_Orderings_Oord__class_Omax(_u19287)), _u19290), _u19288))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19291) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19291), _u19292)) | ( c_Complete__Lattice_OSup__class_OSup(_u19291, _u19292) = hAPP(hAPP(c_Finite__Set_Ofold(_u19291, _u19291, c_Lattices_Osemilattice__sup__class_Osup(_u19291)), c_Orderings_Obot__class_Obot(_u19291)), _u19292)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19293), _u19294)) | ( c_Complete__Lattice_OInf__class_OInf(_u19293, _u19294) = hAPP(hAPP(c_Finite__Set_Ofold(_u19293, _u19293, c_Lattices_Osemilattice__inf__class_Oinf(_u19293)), c_Orderings_Otop__class_Otop(_u19293)), _u19294)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u19295) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19295), _u19296)) | ( hAPP(c_Finite__Set_Ofold1(_u19295, c_Groups_Otimes__class_Otimes(_u19295)), hAPP(hAPP(c_Set_Oinsert(_u19295), _u19297), _u19296)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19295, _u19295, c_Groups_Otimes__class_Otimes(_u19295)), _u19297), _u19296)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u19298) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19298), _u19299)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19298, hAPP(hAPP(c_Set_Oinsert(_u19298), _u19300), _u19299)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19298, _u19298, c_Lattices_Osemilattice__sup__class_Osup(_u19298)), _u19300), _u19299)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u19301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19301), _u19302)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19301, hAPP(hAPP(c_Set_Oinsert(_u19301), _u19303), _u19302)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19301, _u19301, c_Lattices_Osemilattice__inf__class_Oinf(_u19301)), _u19303), _u19302)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u19304) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19304), _u19305)) | ( c_Big__Operators_Olinorder__class_OMin(_u19304, hAPP(hAPP(c_Set_Oinsert(_u19304), _u19306), _u19305)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19304, _u19304, c_Orderings_Oord__class_Omin(_u19304)), _u19306), _u19305)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u19307) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19307), _u19308)) | ( c_Big__Operators_Olinorder__class_OMax(_u19307, hAPP(hAPP(c_Set_Oinsert(_u19307), _u19309), _u19308)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19307, _u19307, c_Orderings_Oord__class_Omax(_u19307)), _u19309), _u19308)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u19310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19310), _u19311)) | ( c_Big__Operators_Olattice_OInf__fin(_u19310, c_Orderings_Oord__class_Omin(_u19310), hAPP(hAPP(c_Set_Oinsert(_u19310), _u19312), _u19311)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19310, _u19310, c_Orderings_Oord__class_Omin(_u19310)), _u19312), _u19311)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u19313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), _u19314)) | ( c_Big__Operators_Olattice_OSup__fin(_u19313, c_Orderings_Oord__class_Omax(_u19313), hAPP(hAPP(c_Set_Oinsert(_u19313), _u19315), _u19314)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19313, _u19313, c_Orderings_Oord__class_Omax(_u19313)), _u19315), _u19314)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19316), _u19317)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19316, tc_HOL_Obool)), _u19318), _u19317) = hAPP(hAPP(c_Finite__Set_Ofold(_u19316, tc_fun(_u19316, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u19316, tc_HOL_Obool), tc_fun(tc_fun(_u19316, tc_HOL_Obool), tc_fun(_u19316, tc_HOL_Obool)), _u19316), hAPP(c_COMBC(tc_fun(_u19316, tc_HOL_Obool), tc_fun(_u19316, tc_HOL_Obool), tc_fun(_u19316, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u19316, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u19316, tc_fun(_u19316, tc_HOL_Obool), tc_fun(_u19316, tc_HOL_Obool)), c_Set_Oinsert(_u19316)), c_Orderings_Obot__class_Obot(tc_fun(_u19316, tc_HOL_Obool))))), _u19318), _u19317)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u19319, _u19320, _u19321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19319), _u19322)) | hBOOL(hAPP(hAPP(c_member(_u19319), _u19323), _u19322)) | ( hAPP(_u19321, hAPP(hAPP(c_Set_Oinsert(_u19319), _u19323), _u19322)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19319, _u19319, _u19320), _u19323), _u19322)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19324) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19325), _u19326)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19325, _u19324), _u19326), _u19327) = hAPP(hAPP(c_Finite__Set_Ofold(_u19325, _u19324, hAPP(hAPP(c_COMBB(_u19324, tc_fun(_u19324, _u19324), _u19325), c_Lattices_Osemilattice__sup__class_Osup(_u19324)), _u19327)), c_Orderings_Obot__class_Obot(_u19324)), _u19326)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19328) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19329), _u19330)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19329, _u19328), _u19330), _u19331) = hAPP(hAPP(c_Finite__Set_Ofold(_u19329, _u19328, hAPP(hAPP(c_COMBB(_u19328, tc_fun(_u19328, _u19328), _u19329), c_Lattices_Osemilattice__inf__class_Oinf(_u19328)), _u19331)), c_Orderings_Otop__class_Otop(_u19328)), _u19330)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u19332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19332), _u19333)) | hBOOL(hAPP(hAPP(c_member(_u19332), _u19334), _u19333)) | ( hAPP(c_Finite__Set_Ofold1(_u19332, c_Groups_Otimes__class_Otimes(_u19332)), hAPP(hAPP(c_Set_Oinsert(_u19332), _u19334), _u19333)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19332, _u19332, c_Groups_Otimes__class_Otimes(_u19332)), _u19334), _u19333)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u19335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19335), _u19336)) | hBOOL(hAPP(hAPP(c_member(_u19335), _u19337), _u19336)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19335, hAPP(hAPP(c_Set_Oinsert(_u19335), _u19337), _u19336)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19335, _u19335, c_Lattices_Osemilattice__sup__class_Osup(_u19335)), _u19337), _u19336)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u19338) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19338), _u19339)) | hBOOL(hAPP(hAPP(c_member(_u19338), _u19340), _u19339)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19338, hAPP(hAPP(c_Set_Oinsert(_u19338), _u19340), _u19339)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19338, _u19338, c_Lattices_Osemilattice__inf__class_Oinf(_u19338)), _u19340), _u19339)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u19341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19341), _u19342)) | hBOOL(hAPP(hAPP(c_member(_u19341), _u19343), _u19342)) | ( c_Big__Operators_Olinorder__class_OMin(_u19341, hAPP(hAPP(c_Set_Oinsert(_u19341), _u19343), _u19342)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19341, _u19341, c_Orderings_Oord__class_Omin(_u19341)), _u19343), _u19342)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u19344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19344), _u19345)) | hBOOL(hAPP(hAPP(c_member(_u19344), _u19346), _u19345)) | ( c_Big__Operators_Olinorder__class_OMax(_u19344, hAPP(hAPP(c_Set_Oinsert(_u19344), _u19346), _u19345)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19344, _u19344, c_Orderings_Oord__class_Omax(_u19344)), _u19346), _u19345)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u19347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19347), _u19348)) | hBOOL(hAPP(hAPP(c_member(_u19347), _u19349), _u19348)) | ( c_Big__Operators_Olattice_OInf__fin(_u19347, c_Orderings_Oord__class_Omin(_u19347), hAPP(hAPP(c_Set_Oinsert(_u19347), _u19349), _u19348)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19347, _u19347, c_Orderings_Oord__class_Omin(_u19347)), _u19349), _u19348)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19350, _u19351, _u19352) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19350), _u19353)) | ~hBOOL(hAPP(hAPP(c_member(_u19350), _u19354), _u19353)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19350, _u19351, _u19352), _u19355), _u19353) = hAPP(hAPP(_u19352, _u19354), hAPP(hAPP(c_Finite__Set_Ofold(_u19350, _u19351, _u19352), _u19355), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19350, tc_HOL_Obool)), _u19353), hAPP(hAPP(c_Set_Oinsert(_u19350), _u19354), c_Orderings_Obot__class_Obot(tc_fun(_u19350, tc_HOL_Obool))))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19356, _u19357, _u19358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19356), _u19359)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19356, _u19357, _u19358), _u19360), hAPP(hAPP(c_Set_Oinsert(_u19356), _u19361), _u19359)) = hAPP(hAPP(_u19358, _u19361), hAPP(hAPP(c_Finite__Set_Ofold(_u19356, _u19357, _u19358), _u19360), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19356, tc_HOL_Obool)), _u19359), hAPP(hAPP(c_Set_Oinsert(_u19356), _u19361), c_Orderings_Obot__class_Obot(tc_fun(_u19356, tc_HOL_Obool))))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u19363, _u19363, _u19363, hAPP(_u19364, _u19365)), hAPP(_u19364, _u19366)) = hAPP(c_Fun_Ocomp(_u19363, _u19363, _u19363, hAPP(_u19364, _u19366)), hAPP(_u19364, _u19365))) | ~c_Finite__Set_Ofun__left__comm(_u19362, _u19363, _u19364) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19367, _u19368, _u19369) | c_Finite__Set_Ofun__left__comm(_u19370, _u19368, hAPP(hAPP(c_COMBB(_u19367, tc_fun(_u19368, _u19368), _u19370), _u19369), _u19371)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u19374, _u19375), hAPP(hAPP(_u19374, _u19376), _u19377)) = hAPP(hAPP(_u19374, _u19376), hAPP(hAPP(_u19374, _u19375), _u19377))) | ~c_Finite__Set_Ofun__left__comm(_u19372, _u19373, _u19374) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19378, _u19379, _u19380) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19378, _u19379, _u19380, _u19381, _u19382), _u19383)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19378, _u19379, _u19380, _u19381, _u19382), _u19384)) | ( _u19384 = _u19383) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u19385) | c_Finite__Set_Ofun__left__comm(_u19385, _u19385, c_Groups_Otimes__class_Otimes(_u19385)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u19386) | c_Finite__Set_Ofun__left__comm(_u19386, tc_List_Olist(_u19386), c_List_Olinorder__class_Oinsort__key(_u19386, _u19386, c_COMBI(_u19386))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19387, _u19388, _u19389) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19387), _u19390)) | ( hAPP(hAPP(_u19389, _u19391), hAPP(hAPP(c_Finite__Set_Ofold(_u19387, _u19388, _u19389), _u19392), _u19390)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19387, _u19388, _u19389), hAPP(hAPP(_u19389, _u19391), _u19392)), _u19390)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19393, _u19394, _u19395) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19393, _u19394, _u19395, _u19396, _u19397), _u19398)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19393, _u19394, _u19395), _u19396), _u19397) = _u19398) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19399, _u19400, _u19401) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19399), _u19402)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19399, _u19400, _u19401, _u19403, _u19402), hAPP(hAPP(c_Finite__Set_Ofold(_u19399, _u19400, _u19401), _u19403), _u19402))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19404, _u19405, _u19406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19404), _u19407)) | hBOOL(hAPP(hAPP(c_member(_u19404), _u19408), _u19407)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19404, _u19405, _u19406), _u19409), hAPP(hAPP(c_Set_Oinsert(_u19404), _u19408), _u19407)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19404, _u19405, _u19406), hAPP(hAPP(_u19406, _u19408), _u19409)), _u19407)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19410, _u19411, _u19412) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19410), _u19413)) | hBOOL(hAPP(hAPP(c_member(_u19410), _u19414), _u19413)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19410, _u19411, _u19412), _u19415), hAPP(hAPP(c_Set_Oinsert(_u19410), _u19414), _u19413)) = hAPP(hAPP(_u19412, _u19414), hAPP(hAPP(c_Finite__Set_Ofold(_u19410, _u19411, _u19412), _u19415), _u19413))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19416, _u19417, _u19418) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19416, _u19417, _u19418), _u19419), hAPP(c_List_Oset(_u19416), _u19420)) = hAPP(c_List_Ofoldl(_u19417, _u19416, hAPP(c_COMBC(_u19416, _u19417, _u19417), _u19418), _u19419), c_List_Oremdups(_u19416, _u19420))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19422, _u19423, _u19424) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19422, _u19423, _u19424, _u19425, _u19426), _u19427)) | ~hBOOL(hAPP(hAPP(c_member(_u19422), _u19428), _u19426)) | ( _u19427 = hAPP(hAPP(_u19424, _u19428), skolem499(_u19428, _u19427, _u19426, _u19425, _u19424, _u19423, _u19422))) )).
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19422, _u19423, _u19424) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19422, _u19423, _u19424, _u19425, _u19426), _u19427)) | ~hBOOL(hAPP(hAPP(c_member(_u19422), _u19428), _u19426)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19422, _u19423, _u19424, _u19425, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19422, tc_HOL_Obool)), _u19426), hAPP(hAPP(c_Set_Oinsert(_u19422), _u19428), c_Orderings_Obot__class_Obot(tc_fun(_u19422, tc_HOL_Obool))))), skolem499(_u19428, _u19427, _u19426, _u19425, _u19424, _u19423, _u19422))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19430, _u19431, _u19432) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19430, _u19431, _u19432, _u19433, hAPP(hAPP(c_Set_Oinsert(_u19430), _u19434), _u19435)), _u19436)) | hBOOL(hAPP(hAPP(c_member(_u19430), _u19434), _u19435)) | ( _u19436 = hAPP(hAPP(_u19432, _u19434), skolem500(_u19436, _u19435, _u19434, _u19433, _u19432, _u19431, _u19430))) )).
% 29.00/29.21 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u19430, _u19431, _u19432) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19430, _u19431, _u19432, _u19433, hAPP(hAPP(c_Set_Oinsert(_u19430), _u19434), _u19435)), _u19436)) | hBOOL(hAPP(hAPP(c_member(_u19430), _u19434), _u19435)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19430, _u19431, _u19432, _u19433, _u19435), skolem500(_u19436, _u19435, _u19434, _u19433, _u19432, _u19431, _u19430))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u19438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19438), _u19439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), hAPP(hAPP(c_Finite__Set_Ofold(_u19438, _u19438, c_Orderings_Oord__class_Omax(_u19438)), _u19441), _u19439)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19438), _u19440), _u19441))) | hBOOL(hAPP(hAPP(c_member(_u19438), skolem501(_u19441, _u19440, _u19439, _u19438)), _u19439)) )).
% 29.00/29.21 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u19438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19438), _u19439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), hAPP(hAPP(c_Finite__Set_Ofold(_u19438, _u19438, c_Orderings_Oord__class_Omax(_u19438)), _u19441), _u19439)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19438), _u19440), _u19441))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), skolem501(_u19441, _u19440, _u19439, _u19438)), _u19440)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u19443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19443), _u19444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19443), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u19443), _u19445), _u19446)), hAPP(hAPP(c_Finite__Set_Ofold(_u19443, _u19443, c_Orderings_Oord__class_Omin(_u19443)), _u19446), _u19444))) | hBOOL(hAPP(hAPP(c_member(_u19443), skolem502(_u19446, _u19445, _u19444, _u19443)), _u19444)) )).
% 29.00/29.21 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u19443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19443), _u19444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19443), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u19443), _u19445), _u19446)), hAPP(hAPP(c_Finite__Set_Ofold(_u19443, _u19443, c_Orderings_Oord__class_Omin(_u19443)), _u19446), _u19444))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19443), _u19445), skolem502(_u19446, _u19445, _u19444, _u19443))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u19448) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19448), _u19449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19448), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19448), _u19450), _u19451)), hAPP(hAPP(c_Finite__Set_Ofold(_u19448, _u19448, c_Lattices_Osemilattice__inf__class_Oinf(_u19448)), _u19451), _u19449))) | hBOOL(hAPP(hAPP(c_member(_u19448), skolem503(_u19451, _u19450, _u19449, _u19448)), _u19449)) )).
% 29.00/29.21 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u19448) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19448), _u19449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19448), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19448), _u19450), _u19451)), hAPP(hAPP(c_Finite__Set_Ofold(_u19448, _u19448, c_Lattices_Osemilattice__inf__class_Oinf(_u19448)), _u19451), _u19449))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19448), _u19450), skolem503(_u19451, _u19450, _u19449, _u19448))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u19453) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19453), _u19454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19453), hAPP(hAPP(c_Finite__Set_Ofold(_u19453, _u19453, c_Lattices_Osemilattice__sup__class_Osup(_u19453)), _u19456), _u19454)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19453), _u19455), _u19456))) | hBOOL(hAPP(hAPP(c_member(_u19453), skolem504(_u19456, _u19455, _u19454, _u19453)), _u19454)) )).
% 29.00/29.21 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u19453) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19453), _u19454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19453), hAPP(hAPP(c_Finite__Set_Ofold(_u19453, _u19453, c_Lattices_Osemilattice__sup__class_Osup(_u19453)), _u19456), _u19454)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19453), _u19455), _u19456))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19453), skolem504(_u19456, _u19455, _u19454, _u19453)), _u19455)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u19467, _u19469) | ~hBOOL(hAPP(hAPP(c_member(_u19467), _u19457), _u19460)) | hBOOL(hAPP(hAPP(c_member(_u19467), skolem505(_u19469, _u19467, _u19460)), _u19460)) )).
% 29.00/29.21 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u19467, _u19469) | ~hBOOL(hAPP(hAPP(c_member(_u19467), _u19457), _u19460)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19467, _u19467)), hAPP(hAPP(c_Product__Type_OPair(_u19467, _u19467), _u19458), skolem505(_u19469, _u19467, _u19460))), _u19469)) | ~hBOOL(hAPP(hAPP(c_member(_u19467), _u19458), _u19460)) )).
% 29.00/29.21 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u19468, _u19470) | hBOOL(hAPP(hAPP(c_member(_u19468), skolem507(_u19470, _u19468)), skolem506(_u19470, _u19468))) )).
% 29.00/29.21 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u19468, _u19470) | ~hBOOL(hAPP(hAPP(c_member(_u19468), _u19463), skolem506(_u19470, _u19468))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19468, _u19468)), hAPP(hAPP(c_Product__Type_OPair(_u19468, _u19468), skolem508(_u19470, _u19468, _u19463)), _u19463)), _u19470)) )).
% 29.00/29.21 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u19468, _u19470) | ~hBOOL(hAPP(hAPP(c_member(_u19468), _u19463), skolem506(_u19470, _u19468))) | hBOOL(hAPP(hAPP(c_member(_u19468), skolem508(_u19470, _u19468, _u19463)), skolem506(_u19470, _u19468))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19472), _u19477)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19472), _u19478)) | ( hAPP(_u19476, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19472, tc_HOL_Obool)), _u19477), _u19478)) = hAPP(hAPP(_u19473, hAPP(_u19476, _u19477)), hAPP(_u19476, _u19478))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19471, _u19472, _u19473, _u19474, _u19475, _u19476) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u19481, _u19485), _u19485) = _u19485) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19479, _u19480, _u19481, _u19482, _u19483, _u19484) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19487), _u19492)) | ~hBOOL(hAPP(hAPP(c_member(_u19487), _u19493), _u19492)) | ( hAPP(hAPP(_u19488, hAPP(_u19490, _u19493)), hAPP(_u19491, _u19492)) = hAPP(_u19491, _u19492)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19486, _u19487, _u19488, _u19489, _u19490, _u19491) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19495), _u19500)) | ( hAPP(_u19499, hAPP(hAPP(c_Set_Oinsert(_u19495), _u19501), _u19500)) = hAPP(hAPP(_u19496, hAPP(_u19498, _u19501)), hAPP(_u19499, _u19500))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19494, _u19495, _u19496, _u19497, _u19498, _u19499) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19503), _u19508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19503, tc_HOL_Obool)), _u19509), _u19508)) | ( hAPP(hAPP(_u19504, hAPP(_u19507, _u19509)), hAPP(_u19507, _u19508)) = hAPP(_u19507, _u19508)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19502, _u19503, _u19504, _u19505, _u19506, _u19507) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 29.00/29.21 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)))), _u19511)) = 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)))), _u19512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem509(_u19512, _u19511))) )).
% 29.00/29.21 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)))), _u19511)) = 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)))), _u19512))) | hBOOL(hAPP(_u19511, skolem509(_u19512, _u19511))) | hBOOL(hAPP(_u19512, skolem509(_u19512, _u19511))) )).
% 29.00/29.21 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)))), _u19511)) = 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)))), _u19512))) | ~hBOOL(hAPP(_u19512, skolem509(_u19512, _u19511))) | ~hBOOL(hAPP(_u19511, skolem509(_u19512, _u19511))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), _u19515), _u19516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19515), hAPP(c_Set_OCollect(_u19514), _u19517))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19516), hAPP(c_Set_OCollect(_u19514), _u19518)))) | hBOOL(hAPP(hAPP(c_member(_u19514), skolem510(_u19518, _u19517, _u19516, _u19515, _u19514)), _u19515)) )).
% 29.00/29.21 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), _u19515), _u19516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19515), hAPP(c_Set_OCollect(_u19514), _u19517))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19516), hAPP(c_Set_OCollect(_u19514), _u19518)))) | hBOOL(hAPP(_u19517, skolem510(_u19518, _u19517, _u19516, _u19515, _u19514))) )).
% 29.00/29.21 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), _u19515), _u19516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19515), hAPP(c_Set_OCollect(_u19514), _u19517))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19516), hAPP(c_Set_OCollect(_u19514), _u19518)))) | ~hBOOL(hAPP(_u19518, skolem510(_u19518, _u19517, _u19516, _u19515, _u19514))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19521), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19520, tc_HOL_Obool), _u19522))) | hBOOL(hAPP(hAPP(c_member(_u19520), _u19521), skolem511(_u19522, _u19521, _u19520))) )).
% 29.00/29.21 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19521), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19520, tc_HOL_Obool), _u19522))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19520, tc_HOL_Obool)), skolem511(_u19522, _u19521, _u19520)), _u19522)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converseE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19525, _u19526)), _u19527), hAPP(c_Relation_Oconverse(_u19526, _u19525), _u19528))) | ( _u19527 = hAPP(hAPP(c_Product__Type_OPair(_u19525, _u19526), skolem513(_u19528, _u19527, _u19526, _u19525)), skolem512(_u19528, _u19527, _u19526, _u19525))) )).
% 29.00/29.21 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19525, _u19526)), _u19527), hAPP(c_Relation_Oconverse(_u19526, _u19525), _u19528))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19526, _u19525)), hAPP(hAPP(c_Product__Type_OPair(_u19526, _u19525), skolem512(_u19528, _u19527, _u19526, _u19525)), skolem513(_u19528, _u19527, _u19526, _u19525))), _u19528)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19532, _u19533)), _u19534), hAPP(hAPP(c_Relation_Orel__comp(_u19532, _u19535, _u19533), _u19536), _u19537))) | ( _u19534 = hAPP(hAPP(c_Product__Type_OPair(_u19532, _u19533), skolem514(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532)), skolem516(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532))) )).
% 29.00/29.21 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19532, _u19533)), _u19534), hAPP(hAPP(c_Relation_Orel__comp(_u19532, _u19535, _u19533), _u19536), _u19537))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19532, _u19535)), hAPP(hAPP(c_Product__Type_OPair(_u19532, _u19535), skolem514(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532)), skolem515(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532))), _u19536)) )).
% 29.00/29.21 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19532, _u19533)), _u19534), hAPP(hAPP(c_Relation_Orel__comp(_u19532, _u19535, _u19533), _u19536), _u19537))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19535, _u19533)), hAPP(hAPP(c_Product__Type_OPair(_u19535, _u19533), skolem515(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532)), skolem516(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532))), _u19537)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u19538, _u19539, _u19540) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u19538), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u19538), _u19539), hAPP(c_Nitpick_Odenom(_u19538), _u19540))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u19538), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u19538), tc_Int_Oint), c_Nitpick_Ofrac(_u19538)), 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(_u19538), _u19539))), 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(_u19538), _u19539))))), 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(_u19538), _u19540))), 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(_u19538), _u19540)))))), c_COMBI(tc_Int_Oint)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u19541, _u19542, _u19543) = hAPP(hAPP(c_Nitpick_Ofrac(_u19541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19541), _u19542)), hAPP(c_Nitpick_Onum(_u19541), _u19543))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u19541), _u19542)), hAPP(c_Nitpick_Odenom(_u19541), _u19543)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u19544) | ~class_Rings_Oring__1(_u19544) | ( c_Nitpick_Oof__frac(_u19545, _u19544, _u19546) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u19544), hAPP(c_Int_Oring__1__class_Oof__int(_u19544), hAPP(c_Nitpick_Onum(_u19545), _u19546))), hAPP(c_Int_Oring__1__class_Oof__int(_u19544), hAPP(c_Nitpick_Odenom(_u19545), _u19546)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u19547, _u19548) = hAPP(hAPP(c_Nitpick_Ofrac(_u19547), hAPP(c_Nitpick_Odenom(_u19547), _u19548)), hAPP(c_Nitpick_Onum(_u19547), _u19548))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u19549, _u19550) = c_Nitpick_OAbs__Frac(_u19549, 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(_u19549), _u19550))), hAPP(c_Nitpick_Odenom(_u19549), _u19550)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u19554, _u19556, _u19558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19554), c_Nitpick_Oplus__frac(_u19554, _u19556, c_Nitpick_Ouminus__frac(_u19554, _u19558)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.21 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19555), c_Nitpick_Oplus__frac(_u19555, _u19557, c_Nitpick_Ouminus__frac(_u19555, _u19559)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u19555, _u19557, _u19559) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u19563, _u19565, _u19567) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19563), c_Nitpick_Oplus__frac(_u19563, _u19565, c_Nitpick_Ouminus__frac(_u19563, _u19567)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.21 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(_u19564), c_Nitpick_Oplus__frac(_u19564, _u19566, c_Nitpick_Ouminus__frac(_u19564, _u19568)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u19564, _u19566, _u19568) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u19569) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u19569, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u19569))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u19570) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u19570, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u19570))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u19572) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19572), c_Groups_Ozero__class_Ozero(_u19572)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u19573, _u19572), _u19575), _u19574))) | hBOOL(hAPP(hAPP(c_member(_u19573), skolem517(_u19575, _u19574, _u19573, _u19572)), _u19574)) )).
% 29.00/29.21 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u19572) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19572), c_Groups_Ozero__class_Ozero(_u19572)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u19573, _u19572), _u19575), _u19574))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19572), c_Groups_Ozero__class_Ozero(_u19572)), hAPP(_u19575, skolem517(_u19575, _u19574, _u19573, _u19572)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u19581, _u19583, _u19585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19576), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19581)), _u19585))) | hBOOL(hAPP(_u19583, hAPP(hAPP(c_List_Onth(_u19581), _u19585), _u19576))) )).
% 29.00/29.21 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u19582, _u19584, _u19586) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem518(_u19586, _u19584, _u19582)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19582)), _u19586))) )).
% 29.00/29.21 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u19582, _u19584, _u19586) | ~hBOOL(hAPP(_u19584, hAPP(hAPP(c_List_Onth(_u19582), _u19586), skolem518(_u19586, _u19584, _u19582)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u19591, _u19593, hAPP(hAPP(c_List_Olist_OCons(_u19591), _u19595), _u19597)) | hBOOL(hAPP(_u19593, _u19595)) )).
% 29.00/29.21 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u19591, _u19593, hAPP(hAPP(c_List_Olist_OCons(_u19591), _u19595), _u19597)) | c_List_Olist__all(_u19591, _u19593, _u19597) )).
% 29.00/29.21 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u19594, _u19596)) | ~c_List_Olist__all(_u19592, _u19594, _u19598) | c_List_Olist__all(_u19592, _u19594, hAPP(hAPP(c_List_Olist_OCons(_u19592), _u19596), _u19598)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u19603, _u19605, hAPP(hAPP(c_List_Oappend(_u19603), _u19607), _u19609)) | c_List_Olist__all(_u19603, _u19605, _u19607) )).
% 29.00/29.21 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u19603, _u19605, hAPP(hAPP(c_List_Oappend(_u19603), _u19607), _u19609)) | c_List_Olist__all(_u19603, _u19605, _u19609) )).
% 29.00/29.21 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u19604, _u19606, _u19608) | ~c_List_Olist__all(_u19604, _u19606, _u19610) | c_List_Olist__all(_u19604, _u19606, hAPP(hAPP(c_List_Oappend(_u19604), _u19608), _u19610)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u19616, _u19618, _u19620) | ~hBOOL(hAPP(hAPP(c_member(_u19616), _u19611), hAPP(c_List_Oset(_u19616), _u19620))) | hBOOL(hAPP(_u19618, _u19611)) )).
% 29.00/29.21 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u19617, _u19619, _u19621) | hBOOL(hAPP(hAPP(c_member(_u19617), skolem519(_u19621, _u19619, _u19617)), hAPP(c_List_Oset(_u19617), _u19621))) )).
% 29.00/29.21 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u19617, _u19619, _u19621) | ~hBOOL(hAPP(_u19619, skolem519(_u19621, _u19619, _u19617))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u19625, _u19627, hAPP(c_List_Orev(_u19625), _u19629)) | c_List_Olist__all(_u19625, _u19627, _u19629) )).
% 29.00/29.21 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u19626, _u19628, _u19630) | c_List_Olist__all(_u19626, _u19628, hAPP(c_List_Orev(_u19626), _u19630)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u19631, _u19632, c_List_Olist_ONil(_u19631)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u19638, _u19642, _u19640) | hBOOL(hAPP(hAPP(c_member(_u19638), skolem520(_u19642, _u19640, _u19638)), hAPP(c_List_Oset(_u19638), _u19640))) )).
% 29.00/29.21 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u19638, _u19642, _u19640) | ~hBOOL(hAPP(_u19642, skolem520(_u19642, _u19640, _u19638))) )).
% 29.00/29.21 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u19639, _u19643, _u19641) | ~hBOOL(hAPP(hAPP(c_member(_u19639), _u19634), hAPP(c_List_Oset(_u19639), _u19641))) | hBOOL(hAPP(_u19643, _u19634)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u19649, _u19651, _u19653) | ~hBOOL(hAPP(hAPP(c_member(_u19649), _u19644), hAPP(c_List_Oset(_u19649), _u19653))) | hBOOL(hAPP(_u19651, _u19644)) )).
% 29.00/29.21 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u19650, _u19652, _u19654) | hBOOL(hAPP(hAPP(c_member(_u19650), skolem521(_u19654, _u19652, _u19650)), hAPP(c_List_Oset(_u19650), _u19654))) )).
% 29.00/29.21 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u19650, _u19652, _u19654) | ~hBOOL(hAPP(_u19652, skolem521(_u19654, _u19652, _u19650))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u19659, _u19661, hAPP(hAPP(c_List_Olist_OCons(_u19659), _u19663), _u19665)) | ~hBOOL(hAPP(_u19661, _u19663)) | c_List_Olist__all(_u19659, hAPP(hAPP(c_COMBS(_u19659, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19659), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19659), c_fNot), _u19661))), hAPP(c_fequal, _u19663)), _u19665) )).
% 29.00/29.21 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u19659, _u19661, hAPP(hAPP(c_List_Olist_OCons(_u19659), _u19663), _u19665)) | hBOOL(hAPP(_u19661, _u19663)) | c_List_Olist__ex1(_u19659, _u19661, _u19665) )).
% 29.00/29.21 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u19660, _u19662, hAPP(hAPP(c_List_Olist_OCons(_u19660), _u19664), _u19666)) | hBOOL(hAPP(_u19662, _u19664)) | ~c_List_Olist__ex1(_u19660, _u19662, _u19666) )).
% 29.00/29.21 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u19660, _u19662, hAPP(hAPP(c_List_Olist_OCons(_u19660), _u19664), _u19666)) | ~c_List_Olist__all(_u19660, hAPP(hAPP(c_COMBS(_u19660, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19660), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19660), c_fNot), _u19662))), hAPP(c_fequal, _u19664)), _u19666) | ~hBOOL(hAPP(_u19662, _u19664)) )).
% 29.00/29.21 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u19660, _u19662, hAPP(hAPP(c_List_Olist_OCons(_u19660), _u19664), _u19666)) | ~c_List_Olist__all(_u19660, hAPP(hAPP(c_COMBS(_u19660, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19660), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19660), c_fNot), _u19662))), hAPP(c_fequal, _u19664)), _u19666) | ~c_List_Olist__ex1(_u19660, _u19662, _u19666) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u19667, _u19668, _u19669) = c_Product__Type_Oprod_Oprod__case(_u19667, _u19668, _u19669)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u19670, _u19671, c_List_Olist_ONil(_u19670)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u19672, _u19673, _u19674), _u19675), hAPP(hAPP(c_Product__Type_OPair(_u19672, _u19673), _u19676), _u19677)) = hAPP(hAPP(_u19675, _u19676), _u19677)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u19685, _u19687, _u19689) | hBOOL(hAPP(hAPP(c_member(_u19685), skolem522(_u19689, _u19687, _u19685)), hAPP(c_List_Oset(_u19685), _u19689))) )).
% 29.00/29.21 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u19685, _u19687, _u19689) | hBOOL(hAPP(_u19687, skolem522(_u19689, _u19687, _u19685))) )).
% 29.00/29.21 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u19685, _u19687, _u19689) | ~hBOOL(hAPP(hAPP(c_member(_u19685), _u19678), hAPP(c_List_Oset(_u19685), _u19689))) | ~hBOOL(hAPP(_u19687, _u19678)) | ( _u19678 = skolem522(_u19689, _u19687, _u19685)) )).
% 29.00/29.21 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u19686, _u19688, _u19690) | ~hBOOL(hAPP(hAPP(c_member(_u19686), _u19681), hAPP(c_List_Oset(_u19686), _u19690))) | ~hBOOL(hAPP(_u19688, _u19681)) | hBOOL(hAPP(hAPP(c_member(_u19686), skolem523(_u19690, _u19688, _u19686, _u19681)), hAPP(c_List_Oset(_u19686), _u19690))) )).
% 29.00/29.21 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u19686, _u19688, _u19690) | ~hBOOL(hAPP(hAPP(c_member(_u19686), _u19681), hAPP(c_List_Oset(_u19686), _u19690))) | ~hBOOL(hAPP(_u19688, _u19681)) | hBOOL(hAPP(_u19688, skolem523(_u19690, _u19688, _u19686, _u19681))) )).
% 29.00/29.21 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u19686, _u19688, _u19690) | ~hBOOL(hAPP(hAPP(c_member(_u19686), _u19681), hAPP(c_List_Oset(_u19686), _u19690))) | ~hBOOL(hAPP(_u19688, _u19681)) | ( skolem523(_u19690, _u19688, _u19686, _u19681) != _u19681) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u19692) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19692), c_Groups_Ozero__class_Ozero(_u19692)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u19693, _u19692), _u19695), _u19694))) | hBOOL(hAPP(hAPP(c_member(_u19693), skolem524(_u19695, _u19694, _u19693, _u19692)), _u19694)) )).
% 29.00/29.21 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u19692) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19692), c_Groups_Ozero__class_Ozero(_u19692)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u19693, _u19692), _u19695), _u19694))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19692), c_Groups_Ozero__class_Ozero(_u19692)), hAPP(_u19695, skolem524(_u19695, _u19694, _u19693, _u19692)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem525(_u19698, _u19697)), hAPP(_u19697, skolem525(_u19698, _u19697)))) | 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)), _u19697)), _u19698)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), _u19702)) | ~hBOOL(hAPP(_u19703, c_Orderings_Obot__class_Obot(tc_fun(_u19701, tc_HOL_Obool)))) | hBOOL(hAPP(_u19703, _u19702)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), skolem527(_u19703, _u19702, _u19701))) )).
% 29.00/29.21 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), _u19702)) | ~hBOOL(hAPP(_u19703, c_Orderings_Obot__class_Obot(tc_fun(_u19701, tc_HOL_Obool)))) | hBOOL(hAPP(_u19703, _u19702)) | ~hBOOL(hAPP(hAPP(c_member(_u19701), skolem526(_u19703, _u19702, _u19701)), skolem527(_u19703, _u19702, _u19701))) )).
% 29.00/29.21 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), _u19702)) | ~hBOOL(hAPP(_u19703, c_Orderings_Obot__class_Obot(tc_fun(_u19701, tc_HOL_Obool)))) | hBOOL(hAPP(_u19703, _u19702)) | hBOOL(hAPP(_u19703, skolem527(_u19703, _u19702, _u19701))) )).
% 29.00/29.21 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), _u19702)) | ~hBOOL(hAPP(_u19703, c_Orderings_Obot__class_Obot(tc_fun(_u19701, tc_HOL_Obool)))) | hBOOL(hAPP(_u19703, _u19702)) | ~hBOOL(hAPP(_u19703, hAPP(hAPP(c_Set_Oinsert(_u19701), skolem526(_u19703, _u19702, _u19701)), skolem527(_u19703, _u19702, _u19701)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 29.00/29.21 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)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u19709 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19711, _u19713, _u19715, _u19717), _u19709) = c_Lazy__Sequence_Ohit__bound(_u19713)) )).
% 29.00/29.21 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u19710 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19712, _u19714, _u19716, _u19718), _u19710) = c_Lazy__Sequence_Ohb__bind(_u19712, _u19714, hAPP(_u19716, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19710), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19712, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19714))), _u19718), _u19710))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u19724 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19726, _u19728, _u19730, _u19732), _u19724) = c_Lazy__Sequence_Oempty(_u19728)) )).
% 29.00/29.21 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u19725 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19727, _u19729, _u19731, _u19733), _u19725) = hAPP(c_Lazy__Sequence_Obind(_u19727, _u19729, hAPP(_u19731, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19725), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19727, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19729)), _u19733), _u19725))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19734, _u19735, _u19736, _u19737, _u19738, _u19739, _u19740) = c_New__DSequence_Oneg__decr__bind(_u19734, _u19735, hAPP(hAPP(hAPP(_u19736, _u19738), _u19739), _u19740), hAPP(hAPP(c_COMBC(_u19734, 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(_u19735)))), hAPP(hAPP(c_COMBC(_u19734, 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(_u19735))))), hAPP(hAPP(c_COMBC(_u19734, 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(_u19735)))))), _u19737), _u19738)), _u19739)), _u19740))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19741, _u19742, _u19743, _u19744, _u19745, _u19746, _u19747) = c_New__DSequence_Opos__decr__bind(_u19741, _u19742, hAPP(hAPP(hAPP(_u19743, _u19745), _u19746), _u19747), hAPP(hAPP(c_COMBC(_u19741, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19742))), hAPP(hAPP(c_COMBC(_u19741, 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(_u19742)))), hAPP(hAPP(c_COMBC(_u19741, 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(_u19742))))), _u19744), _u19745)), _u19746)), _u19747))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19748, _u19749, _u19750, _u19751), _u19752) = c_Lazy__Sequence_Ohb__bind(_u19748, _u19749, hAPP(_u19750, _u19752), hAPP(hAPP(c_COMBC(_u19748, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19749))), _u19751), _u19752))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u19753), _u19754) = c_Lazy__Sequence_Oempty(_u19753)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u19755, _u19756, _u19757, _u19758) = c_New__DSequence_Opos__empty(_u19755)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19759, _u19760, _u19761, _u19762), _u19763), _u19764), _u19765) = c_New__DSequence_Oneg__bind(_u19759, _u19760, hAPP(hAPP(hAPP(_u19761, _u19763), _u19764), _u19765), hAPP(hAPP(c_COMBC(_u19759, 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(_u19760)))), hAPP(hAPP(c_COMBC(_u19759, 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(_u19760))))), hAPP(hAPP(c_COMBC(_u19759, 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(_u19760)))))), _u19762), _u19763)), _u19764)), _u19765))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u19766, _u19767, _u19768, _u19769), _u19770) = hAPP(c_Lazy__Sequence_Obind(_u19766, _u19767, hAPP(_u19768, _u19770)), hAPP(hAPP(c_COMBC(_u19766, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19767)), _u19769), _u19770))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u19771, _u19772, _u19773, _u19774) = c_New__Random__Sequence_Oneg__bind(_u19771, _u19772, _u19774, hAPP(c_Fun_Ocomp(_u19772, 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(_u19772)))))), _u19771, c_New__Random__Sequence_Oneg__single(_u19772)), _u19773))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19775), _u19776), _u19777), _u19778), _u19779) = c_New__DSequence_Oneg__single(_u19775, _u19776)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19780, _u19781, _u19782, _u19783), _u19784), _u19785), _u19786) = c_New__DSequence_Opos__bind(_u19780, _u19781, hAPP(hAPP(hAPP(_u19782, _u19784), _u19785), _u19786), hAPP(hAPP(c_COMBC(_u19780, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19781))), hAPP(hAPP(c_COMBC(_u19780, 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(_u19781)))), hAPP(hAPP(c_COMBC(_u19780, 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(_u19781))))), _u19783), _u19784)), _u19785)), _u19786))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u19787, _u19788), _u19789) = c_Lazy__Sequence_Ohb__single(_u19787, _u19788)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u19790, _u19791, _u19792, _u19793) = c_New__Random__Sequence_Opos__bind(_u19790, _u19791, _u19793, hAPP(c_Fun_Ocomp(_u19791, 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(_u19791))))), _u19790, c_New__Random__Sequence_Opos__single(_u19791)), _u19792))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19794), _u19795), _u19796), _u19797), _u19798) = c_New__DSequence_Opos__single(_u19794, _u19795)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__splice ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__splice-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19799)), c_List_Osplice(_u19799, _u19800, _u19801)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19799)), _u19800)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19799)), _u19801))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_splice_Osimps_I1_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_splice_Osimps_I1_J-1, axiom, ( ( c_List_Osplice(_u19802, c_List_Olist_ONil(_u19802), _u19803) = _u19803) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_splice__Nil2 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_splice__Nil2-1, axiom, ( ( c_List_Osplice(_u19804, _u19805, c_List_Olist_ONil(_u19804)) = _u19805) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_splice_Osimps_I3_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_splice_Osimps_I3_J-1, axiom, ( ( c_List_Osplice(_u19806, hAPP(hAPP(c_List_Olist_OCons(_u19806), _u19807), _u19808), hAPP(hAPP(c_List_Olist_OCons(_u19806), _u19809), _u19810)) = hAPP(hAPP(c_List_Olist_OCons(_u19806), _u19807), hAPP(hAPP(c_List_Olist_OCons(_u19806), _u19809), c_List_Osplice(_u19806, _u19808, _u19810)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_splice_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_splice_Osimps_I2_J-1, axiom, ( ( c_List_Osplice(_u19811, hAPP(hAPP(c_List_Olist_OCons(_u19811), _u19812), _u19813), c_List_Olist_ONil(_u19811)) = hAPP(hAPP(c_List_Olist_OCons(_u19811), _u19812), _u19813)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u19814, _u19815), _u19816) = hAPP(c_Lazy__Sequence_Osingle(_u19814), _u19815)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_acyclicP__converse ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_acyclicP__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19819, hAPP(c_Set_OCollect(tc_prod(_u19819, _u19819)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19819, _u19819, tc_HOL_Obool), c_Predicate_Oconversep(_u19819, _u19819, _u19821)))) | c_Wellfounded_Oacyclic(_u19819, hAPP(c_Set_OCollect(tc_prod(_u19819, _u19819)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19819, _u19819, tc_HOL_Obool), _u19821))) )).
% 29.00/29.21 cnf(fact_acyclicP__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u19820, hAPP(c_Set_OCollect(tc_prod(_u19820, _u19820)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19820, _u19820, tc_HOL_Obool), _u19822))) | c_Wellfounded_Oacyclic(_u19820, hAPP(c_Set_OCollect(tc_prod(_u19820, _u19820)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19820, _u19820, tc_HOL_Obool), c_Predicate_Oconversep(_u19820, _u19820, _u19822)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u19823, _u19824, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19823, tc_fun(_u19824, tc_HOL_Obool))), _u19825), _u19826)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19824, tc_fun(_u19823, tc_HOL_Obool))), c_Predicate_Oconversep(_u19823, _u19824, _u19825)), c_Predicate_Oconversep(_u19823, _u19824, _u19826))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__pred__comp ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__pred__comp-1, axiom, ( ( c_Predicate_Oconversep(_u19827, _u19828, c_Predicate_Opred__comp(_u19827, _u19829, _u19828, _u19830, _u19831)) = c_Predicate_Opred__comp(_u19828, _u19829, _u19827, c_Predicate_Oconversep(_u19829, _u19828, _u19831), c_Predicate_Oconversep(_u19827, _u19829, _u19830))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_converse__join ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_converse__join-1, axiom, ( ( c_Predicate_Oconversep(_u19832, _u19833, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19832, tc_fun(_u19833, tc_HOL_Obool))), _u19834), _u19835)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19833, tc_fun(_u19832, tc_HOL_Obool))), c_Predicate_Oconversep(_u19832, _u19833, _u19834)), c_Predicate_Oconversep(_u19832, _u19833, _u19835))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u19836, _u19836, c_fequal) = c_fequal) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u19837, _u19838, c_Predicate_Oconversep(_u19838, _u19837, _u19839)) = _u19839) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u19849, _u19853), _u19851)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19845, _u19847, _u19849), _u19851), _u19853)) )).
% 29.00/29.21 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19850, _u19854), _u19852)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19846, _u19848, _u19850), _u19852), _u19854)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u19864, _u19868), _u19866)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19860, _u19862, _u19864), _u19866), _u19868)) )).
% 29.00/29.21 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19865, _u19869), _u19867)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19861, _u19863, _u19865), _u19867), _u19869)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19870, _u19871), _u19872)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19873, _u19874, _u19870), _u19872), _u19871)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u19877, _u19879), _u19878)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19875, _u19876, _u19877), _u19878), _u19879)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_conversep__noteq-1, axiom, ( ( _u19885 != _u19887) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19883, _u19883, hAPP(hAPP(c_COMBB(tc_fun(_u19883, tc_HOL_Obool), tc_fun(_u19883, tc_HOL_Obool), _u19883), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19883), c_fNot)), c_fequal)), _u19885), _u19887)) )).
% 29.00/29.21 cnf(fact_conversep__noteq-2, axiom, ( ( _u19886 = _u19888) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19884, _u19884, hAPP(hAPP(c_COMBB(tc_fun(_u19884, tc_HOL_Obool), tc_fun(_u19884, tc_HOL_Obool), _u19884), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19884), c_fNot)), c_fequal)), _u19886), _u19888)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19894, _u19896, hAPP(hAPP(c_COMBC(_u19894, tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_fun(_u19896, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19896, tc_fun(tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_fun(_u19896, tc_HOL_Obool)), _u19894), c_COMBC(_u19896, tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19896, tc_prod(_u19894, _u19896)), tc_fun(_u19896, tc_fun(tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_HOL_Obool)), _u19894), hAPP(c_COMBB(tc_prod(_u19894, _u19896), tc_fun(tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_HOL_Obool), _u19896), c_member(tc_prod(_u19894, _u19896)))), c_Product__Type_OPair(_u19894, _u19896)))), _u19898)), _u19900), _u19902)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19896, _u19894)), hAPP(hAPP(c_Product__Type_OPair(_u19896, _u19894), _u19900), _u19902)), hAPP(c_Relation_Oconverse(_u19894, _u19896), _u19898))) )).
% 29.00/29.21 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19897, _u19895)), hAPP(hAPP(c_Product__Type_OPair(_u19897, _u19895), _u19901), _u19903)), hAPP(c_Relation_Oconverse(_u19895, _u19897), _u19899))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19895, _u19897, hAPP(hAPP(c_COMBC(_u19895, tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_fun(_u19897, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19897, tc_fun(tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_fun(_u19897, tc_HOL_Obool)), _u19895), c_COMBC(_u19897, tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19897, tc_prod(_u19895, _u19897)), tc_fun(_u19897, tc_fun(tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_HOL_Obool)), _u19895), hAPP(c_COMBB(tc_prod(_u19895, _u19897), tc_fun(tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_HOL_Obool), _u19897), c_member(tc_prod(_u19895, _u19897)))), c_Product__Type_OPair(_u19895, _u19897)))), _u19899)), _u19901), _u19903)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_ ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_-1, axiom, ( ( c_Lazy__Sequence_Oproduct(_u19904, _u19905, _u19906, _u19907) = hAPP(c_Lazy__Sequence_Obind(_u19904, tc_prod(_u19904, _u19905), _u19906), hAPP(hAPP(c_COMBB(tc_fun(_u19905, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19904, _u19905))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19904, _u19905)), _u19904), c_Lazy__Sequence_Obind(_u19905, tc_prod(_u19904, _u19905), _u19907)), hAPP(hAPP(c_COMBB(tc_fun(_u19905, tc_prod(_u19904, _u19905)), tc_fun(_u19905, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19904, _u19905))), _u19904), hAPP(c_COMBB(tc_prod(_u19904, _u19905), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19904, _u19905)), _u19905), c_Lazy__Sequence_Osingle(tc_prod(_u19904, _u19905)))), c_Product__Type_OPair(_u19904, _u19905))))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_tl__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_tl__replicate-1, axiom, ( ( _u19908 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19909), c_List_Oreplicate(_u19909, _u19908, _u19910)) = c_List_Oreplicate(_u19909, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19908), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19910)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_replicate__0 ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_replicate__0-1, axiom, ( ( c_List_Oreplicate(_u19911, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19912) = c_List_Olist_ONil(_u19911)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_empty__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_empty__replicate-1, axiom, ( ( _u19918 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19916) != c_List_Oreplicate(_u19916, _u19918, _u19920)) )).
% 29.00/29.21 cnf(fact_empty__replicate-2, axiom, ( ( _u19919 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19917) = c_List_Oreplicate(_u19917, _u19919, _u19921)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_replicate__empty ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_replicate__empty-1, axiom, ( ( _u19927 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19925, _u19927, _u19929) != c_List_Olist_ONil(_u19925)) )).
% 29.00/29.21 cnf(fact_replicate__empty-2, axiom, ( ( _u19928 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19926, _u19928, _u19930) = c_List_Olist_ONil(_u19926)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_concat__replicate__trivial ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_concat__replicate__trivial-1, axiom, ( ( c_List_Oconcat(_u19931, c_List_Oreplicate(tc_List_Olist(_u19931), _u19932, c_List_Olist_ONil(_u19931))) = c_List_Olist_ONil(_u19931)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_filter__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_filter__replicate-1, axiom, ( ~hBOOL(hAPP(_u19937, _u19939)) | ( hAPP(c_List_Ofilter(_u19941, _u19937), c_List_Oreplicate(_u19941, _u19943, _u19939)) = c_List_Oreplicate(_u19941, _u19943, _u19939)) )).
% 29.00/29.21 cnf(fact_filter__replicate-2, axiom, ( hBOOL(hAPP(_u19938, _u19940)) | ( hAPP(c_List_Ofilter(_u19942, _u19938), c_List_Oreplicate(_u19942, _u19944, _u19940)) = c_List_Olist_ONil(_u19942)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__replicate__const ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__replicate__const-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19945, _u19946), hAPP(c_COMBK(_u19946, _u19945), _u19947)), _u19948) = c_List_Oreplicate(_u19946, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19945)), _u19948), _u19947)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19949, _u19950), _u19951), c_List_Oreplicate(_u19949, _u19952, _u19953)) = c_List_Oreplicate(_u19950, _u19952, hAPP(_u19951, _u19953))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_rev__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_rev__replicate-1, axiom, ( ( hAPP(c_List_Orev(_u19954), c_List_Oreplicate(_u19954, _u19955, _u19956)) = c_List_Oreplicate(_u19954, _u19955, _u19956)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_replicate__length__filter ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_replicate__length__filter-1, axiom, ( ( c_List_Oreplicate(_u19957, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19957)), hAPP(c_List_Ofilter(_u19957, hAPP(c_fequal, _u19958)), _u19959)), _u19958) = hAPP(c_List_Ofilter(_u19957, hAPP(c_fequal, _u19958)), _u19959)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_nth__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_nth__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19960), _u19961)) | ( hAPP(hAPP(c_List_Onth(_u19962), c_List_Oreplicate(_u19962, _u19961, _u19963)), _u19960) = _u19963) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_replicate__eq__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_replicate__eq__replicate-1, axiom, ( ( c_List_Oreplicate(_u19969, _u19971, _u19973) != c_List_Oreplicate(_u19969, _u19975, _u19977)) | ( _u19971 = _u19975) )).
% 29.00/29.21 cnf(fact_replicate__eq__replicate-2, axiom, ( ( c_List_Oreplicate(_u19969, _u19971, _u19973) != c_List_Oreplicate(_u19969, _u19975, _u19977)) | ( _u19971 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19973 = _u19977) )).
% 29.00/29.21 cnf(fact_replicate__eq__replicate-3, axiom, ( ( c_List_Oreplicate(_u19970, _u19972, _u19974) = c_List_Oreplicate(_u19970, _u19976, _u19978)) | ( _u19972 != _u19976) | ( _u19972 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21 cnf(fact_replicate__eq__replicate-4, axiom, ( ( c_List_Oreplicate(_u19970, _u19972, _u19974) = c_List_Oreplicate(_u19970, _u19976, _u19978)) | ( _u19972 != _u19976) | ( _u19974 != _u19978) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_length__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_length__replicate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19979)), c_List_Oreplicate(_u19979, _u19980, _u19981)) = _u19980) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_zip__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_zip__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19982, _u19983), c_List_Oreplicate(_u19982, _u19984, _u19985)), c_List_Oreplicate(_u19983, _u19986, _u19987)) = c_List_Oreplicate(tc_prod(_u19982, _u19983), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19984), _u19986), hAPP(hAPP(c_Product__Type_OPair(_u19982, _u19983), _u19985), _u19987))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Ball__set__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Ball__set__replicate-1, axiom, ( hBOOL(hAPP(_u20000, _u19998)) | ( _u19996 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19994), skolem528(_u20000, _u19998, _u19996, _u19994)), hAPP(c_List_Oset(_u19994), c_List_Oreplicate(_u19994, _u19996, _u19998)))) )).
% 29.00/29.21 cnf(fact_Ball__set__replicate-2, axiom, ( hBOOL(hAPP(_u20000, _u19998)) | ( _u19996 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u20000, skolem528(_u20000, _u19998, _u19996, _u19994))) )).
% 29.00/29.21 cnf(fact_Ball__set__replicate-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19995), _u19989), hAPP(c_List_Oset(_u19995), c_List_Oreplicate(_u19995, _u19997, _u19999)))) | hBOOL(hAPP(_u20001, _u19989)) | ~hBOOL(hAPP(_u20001, _u19999)) )).
% 29.00/29.21 cnf(fact_Ball__set__replicate-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19995), _u19989), hAPP(c_List_Oset(_u19995), c_List_Oreplicate(_u19995, _u19997, _u19999)))) | hBOOL(hAPP(_u20001, _u19989)) | ( _u19997 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_Bex__set__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_Bex__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20008), _u20002), hAPP(c_List_Oset(_u20008), c_List_Oreplicate(_u20008, _u20010, _u20012)))) | ~hBOOL(hAPP(_u20014, _u20002)) | hBOOL(hAPP(_u20014, _u20012)) )).
% 29.00/29.21 cnf(fact_Bex__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20008), _u20002), hAPP(c_List_Oset(_u20008), c_List_Oreplicate(_u20008, _u20010, _u20012)))) | ~hBOOL(hAPP(_u20014, _u20002)) | ( _u20010 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21 cnf(fact_Bex__set__replicate-3, axiom, ( ~hBOOL(hAPP(_u20015, _u20013)) | ( _u20011 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20009), skolem529(_u20015, _u20013, _u20011, _u20009)), hAPP(c_List_Oset(_u20009), c_List_Oreplicate(_u20009, _u20011, _u20013)))) )).
% 29.00/29.21 cnf(fact_Bex__set__replicate-4, axiom, ( ~hBOOL(hAPP(_u20015, _u20013)) | ( _u20011 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u20015, skolem529(_u20015, _u20013, _u20011, _u20009))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_drop__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_drop__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u20016), _u20017), c_List_Oreplicate(_u20016, _u20018, _u20019)) = c_List_Oreplicate(_u20016, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20018), _u20017), _u20019)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_last__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_last__replicate-1, axiom, ( ( _u20020 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u20021, c_List_Oreplicate(_u20021, _u20020, _u20022)) = _u20022) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_hd__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_hd__replicate-1, axiom, ( ( _u20023 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u20024), c_List_Oreplicate(_u20024, _u20023, _u20025)) = _u20025) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_take__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_take__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u20026), _u20027), c_List_Oreplicate(_u20026, _u20028, _u20029)) = c_List_Oreplicate(_u20026, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u20027), _u20028), _u20029)) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_append__replicate__commute ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_append__replicate__commute-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20030), c_List_Oreplicate(_u20030, _u20031, _u20032)), c_List_Oreplicate(_u20030, _u20033, _u20032)) = hAPP(hAPP(c_List_Oappend(_u20030), c_List_Oreplicate(_u20030, _u20033, _u20032)), c_List_Oreplicate(_u20030, _u20031, _u20032))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_replicate__add ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_replicate__add-1, axiom, ( ( c_List_Oreplicate(_u20034, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20035), _u20036), _u20037) = hAPP(hAPP(c_List_Oappend(_u20034), c_List_Oreplicate(_u20034, _u20035, _u20037)), c_List_Oreplicate(_u20034, _u20036, _u20037))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_replicate__app__Cons__same ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_replicate__app__Cons__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20038), c_List_Oreplicate(_u20038, _u20039, _u20040)), hAPP(hAPP(c_List_Olist_OCons(_u20038), _u20040), _u20041)) = hAPP(hAPP(c_List_Olist_OCons(_u20038), _u20040), hAPP(hAPP(c_List_Oappend(_u20038), c_List_Oreplicate(_u20038, _u20039, _u20040)), _u20041))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_replicate__Suc ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_replicate__Suc-1, axiom, ( ( c_List_Oreplicate(_u20042, hAPP(c_Nat_OSuc, _u20043), _u20044) = hAPP(hAPP(c_List_Olist_OCons(_u20042), _u20044), c_List_Oreplicate(_u20042, _u20043, _u20044))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_in__set__replicate ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_in__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20049), _u20051), hAPP(c_List_Oset(_u20049), c_List_Oreplicate(_u20049, _u20053, _u20055)))) | ( _u20051 = _u20055) )).
% 29.00/29.21 cnf(fact_in__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20049), _u20051), hAPP(c_List_Oset(_u20049), c_List_Oreplicate(_u20049, _u20053, _u20055)))) | ( _u20053 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.21 cnf(fact_in__set__replicate-3, axiom, ( ( _u20052 != _u20056) | ( _u20054 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20050), _u20052), hAPP(c_List_Oset(_u20050), c_List_Oreplicate(_u20050, _u20054, _u20056)))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_replicate__append__same ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_replicate__append__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20057), c_List_Oreplicate(_u20057, _u20058, _u20059)), hAPP(hAPP(c_List_Olist_OCons(_u20057), _u20059), c_List_Olist_ONil(_u20057))) = hAPP(hAPP(c_List_Olist_OCons(_u20057), _u20059), c_List_Oreplicate(_u20057, _u20058, _u20059))) )).
% 29.00/29.21
% 29.00/29.21 % Formula: fact_map__replicate__trivial ( axiom ) converted to clauses:
% 29.00/29.21 cnf(fact_map__replicate__trivial-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20060), hAPP(c_COMBK(_u20060, tc_Nat_Onat), _u20061)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20062)) = c_List_Oreplicate(_u20060, _u20062, _u20061)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_set__replicate__conv__if ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_set__replicate__conv__if-1, axiom, ( ( _u20066 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20068), c_List_Oreplicate(_u20068, _u20066, _u20070)) = c_Orderings_Obot__class_Obot(tc_fun(_u20068, tc_HOL_Obool))) )).
% 29.00/29.22 cnf(fact_set__replicate__conv__if-2, axiom, ( ( _u20067 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20069), c_List_Oreplicate(_u20069, _u20067, _u20071)) = hAPP(hAPP(c_Set_Oinsert(_u20069), _u20071), c_Orderings_Obot__class_Obot(tc_fun(_u20069, tc_HOL_Obool)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_set__replicate ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_set__replicate-1, axiom, ( ( _u20072 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20073), c_List_Oreplicate(_u20073, _u20072, _u20074)) = hAPP(hAPP(c_Set_Oinsert(_u20073), _u20074), c_Orderings_Obot__class_Obot(tc_fun(_u20073, tc_HOL_Obool)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_set__replicate__Suc ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_set__replicate__Suc-1, axiom, ( ( hAPP(c_List_Oset(_u20075), c_List_Oreplicate(_u20075, hAPP(c_Nat_OSuc, _u20076), _u20077)) = hAPP(hAPP(c_Set_Oinsert(_u20075), _u20077), c_Orderings_Obot__class_Obot(tc_fun(_u20075, tc_HOL_Obool)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_small__lazy__list_Osimps ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_small__lazy__list_Osimps-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20078) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u20078), _u20079) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u20078), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u20078)), c_List_Olist_ONil(_u20078)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20078))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u20079)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u20078, tc_List_Olist(_u20078)), tc_List_Olist(_u20078), c_Lazy__Sequence_Oproduct(_u20078, tc_List_Olist(_u20078), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20078, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20079), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u20078), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20079), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u20078, tc_List_Olist(_u20078), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20078))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20078), tc_List_Olist(_u20078)), tc_fun(tc_List_Olist(_u20078), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20078))), _u20078), hAPP(c_COMBB(tc_List_Olist(_u20078), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20078)), tc_List_Olist(_u20078)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u20078)))), c_List_Olist_OCons(_u20078))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u20078))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_eq__comp__r ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_eq__comp__r-1, axiom, ( ( c_Predicate_Opred__comp(_u20080, _u20080, _u20080, c_fequal, c_Predicate_Opred__comp(_u20080, _u20080, _u20080, _u20081, c_fequal)) = _u20081) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_small__lazy__prod__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_small__lazy__prod__def-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20082) | ~class_Lazy__Sequence_Osmall__lazy(_u20083) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u20082, _u20083), _u20084) = c_Lazy__Sequence_Oproduct(_u20082, _u20083, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20082, _u20084), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20083, _u20084))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_New__DSequence_Opos__union__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_New__DSequence_Opos__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__union(_u20085, _u20086, _u20087), _u20088) = c_Lazy__Sequence_Oappend(_u20085, hAPP(_u20086, _u20088), hAPP(_u20087, _u20088))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20089)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20089, _u20090, _u20091)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20089)), _u20091)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact__01 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact__01-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u20092, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20092, _u20093, _u20094), _u20095) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20092, _u20093, c_Lazy__Sequence_Oappend(_u20092, _u20094, _u20095))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20101, _u20103, _u20105) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20101, _u20107, _u20109)) | ( _u20103 = _u20107) )).
% 29.00/29.22 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20101, _u20103, _u20105) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20101, _u20107, _u20109)) | ( _u20105 = _u20109) )).
% 29.00/29.22 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u20104 != _u20108) | ( _u20106 != _u20110) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20102, _u20104, _u20106) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20102, _u20108, _u20110)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_pos__union__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_pos__union__def-1, axiom, ( ( c_New__Random__Sequence_Opos__union(_u20111, _u20112, _u20113, _u20114, _u20115, _u20116) = c_New__DSequence_Opos__union(_u20111, hAPP(hAPP(hAPP(_u20112, _u20114), _u20115), _u20116), hAPP(hAPP(hAPP(_u20113, _u20114), _u20115), _u20116))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20117, _u20118), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20117, _u20119, _u20120)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20118, _u20119)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20117, _u20118), _u20120))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_small__lazy_H_Osimps ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_small__lazy_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20123), _u20125)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20123, _u20125) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 29.00/29.22 cnf(fact_small__lazy_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20124), _u20126)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20124, _u20126) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20126), c_Lazy__Sequence_Osmall__lazy_H(_u20124, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20126), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_small__lazy_H_Opsimps ( axiom ) converted to clauses:
% 29.00/29.22 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), _u20127), _u20128))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20127), _u20128)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20127, _u20128) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 29.00/29.22 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), _u20127), _u20128))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20127), _u20128)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20127, _u20128) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20128), c_Lazy__Sequence_Osmall__lazy_H(_u20127, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20128), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_small__lazy__int__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_small__lazy__int__def-1, axiom, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u20129) = c_Lazy__Sequence_Osmall__lazy_H(_u20129, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u20129))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_small__lazy_H_Opinduct ( axiom ) converted to clauses:
% 29.00/29.22 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), _u20132), _u20133))) | hBOOL(hAPP(hAPP(_u20134, _u20132), _u20133)) | 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), skolem530(_u20134, _u20133, _u20132)), skolem531(_u20134, _u20133, _u20132)))) )).
% 29.00/29.22 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), _u20132), _u20133))) | hBOOL(hAPP(hAPP(_u20134, _u20132), _u20133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem530(_u20134, _u20133, _u20132)), skolem531(_u20134, _u20133, _u20132))) | hBOOL(hAPP(hAPP(_u20134, skolem530(_u20134, _u20133, _u20132)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem531(_u20134, _u20133, _u20132)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 29.00/29.22 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), _u20132), _u20133))) | hBOOL(hAPP(hAPP(_u20134, _u20132), _u20133)) | ~hBOOL(hAPP(hAPP(_u20134, skolem530(_u20134, _u20133, _u20132)), skolem531(_u20134, _u20133, _u20132))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_size__code ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20135)), _u20136) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20135, tc_Lazy__Sequence_Olazy__sequence(_u20135)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20135, tc_Lazy__Sequence_Olazy__sequence(_u20135), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20135), tc_Nat_Onat), _u20135), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20135), 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(_u20135)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20135)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u20135), _u20136))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20137, _u20138), _u20139) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20137, tc_Lazy__Sequence_Olazy__sequence(_u20137)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20137, tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u20137, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat)), _u20137), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u20137), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u20137)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u20137, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat)), _u20137), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u20137))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u20137), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u20138))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20137, _u20138))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u20137), _u20139))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20140, _u20141, _u20142, _u20143, _u20144) = c_Option_Ooption_Ooption__case(_u20140, tc_prod(_u20141, tc_Lazy__Sequence_Olazy__sequence(_u20141)), _u20142, hAPP(c_Product__Type_Oprod_Oprod__case(_u20141, tc_Lazy__Sequence_Olazy__sequence(_u20141), _u20140), _u20143), hAPP(c_Lazy__Sequence_Oyield(_u20141), _u20144))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u20145) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u20145), _u20145, c_Lazy__Sequence_Oyield(_u20145))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20146, _u20147, _u20148, _u20149, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20147, _u20150, _u20151)) = hAPP(hAPP(_u20149, _u20150), _u20151)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_refl__on__INTER ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_refl__on__INTER-1, axiom, ( c_Relation_Orefl__on(_u20155, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20153, tc_fun(_u20155, tc_HOL_Obool)), _u20154), _u20156), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20153, tc_fun(tc_prod(_u20155, _u20155), tc_HOL_Obool)), _u20154), _u20157)) | hBOOL(hAPP(hAPP(c_member(_u20153), skolem532(_u20157, _u20156, _u20155, _u20154, _u20153)), _u20154)) )).
% 29.00/29.22 cnf(fact_refl__on__INTER-2, axiom, ( c_Relation_Orefl__on(_u20155, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20153, tc_fun(_u20155, tc_HOL_Obool)), _u20154), _u20156), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20153, tc_fun(tc_prod(_u20155, _u20155), tc_HOL_Obool)), _u20154), _u20157)) | ~c_Relation_Orefl__on(_u20155, hAPP(_u20156, skolem532(_u20157, _u20156, _u20155, _u20154, _u20153)), hAPP(_u20157, skolem532(_u20157, _u20156, _u20155, _u20154, _u20153))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_List_Omember__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_List_Omember__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20161), _u20163), _u20165)) | hBOOL(hAPP(hAPP(c_member(_u20161), _u20165), hAPP(c_List_Oset(_u20161), _u20163))) )).
% 29.00/29.22 cnf(fact_List_Omember__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20162), _u20166), hAPP(c_List_Oset(_u20162), _u20164))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20162), _u20164), _u20166)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_member__rec_I1_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_member__rec_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20171), hAPP(hAPP(c_List_Olist_OCons(_u20171), _u20173), _u20175)), _u20177)) | ( _u20173 = _u20177) | hBOOL(hAPP(hAPP(c_List_Omember(_u20171), _u20175), _u20177)) )).
% 29.00/29.22 cnf(fact_member__rec_I1_J-2, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20172), hAPP(hAPP(c_List_Olist_OCons(_u20172), _u20174), _u20176)), _u20178)) | ( _u20174 != _u20178) )).
% 29.00/29.22 cnf(fact_member__rec_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20172), hAPP(hAPP(c_List_Olist_OCons(_u20172), _u20174), _u20176)), _u20178)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u20172), _u20176), _u20178)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_member__set ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_member__set-1, axiom, ( ( c_List_Omember(_u20179) = c_List_Oset(_u20179)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_member__rec_I2_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_member__rec_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20180), c_List_Olist_ONil(_u20180)), _u20181)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_in__set__member ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_in__set__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20185), _u20187), hAPP(c_List_Oset(_u20185), _u20189))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20185), _u20189), _u20187)) )).
% 29.00/29.22 cnf(fact_in__set__member-2, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20186), _u20190), _u20188)) | hBOOL(hAPP(hAPP(c_member(_u20186), _u20188), hAPP(c_List_Oset(_u20186), _u20190))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_list__ex1__iff__raw ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_list__ex1__iff__raw-1, axiom, ( ~c_List_Olist__ex1(_u20198, _u20200, _u20202) | hBOOL(hAPP(hAPP(c_member(_u20198), skolem533(_u20202, _u20200, _u20198)), hAPP(c_List_Oset(_u20198), _u20202))) )).
% 29.00/29.22 cnf(fact_list__ex1__iff__raw-2, axiom, ( ~c_List_Olist__ex1(_u20198, _u20200, _u20202) | hBOOL(hAPP(_u20200, skolem533(_u20202, _u20200, _u20198))) )).
% 29.00/29.22 cnf(fact_list__ex1__iff__raw-3, axiom, ( ~c_List_Olist__ex1(_u20198, _u20200, _u20202) | ~hBOOL(hAPP(hAPP(c_member(_u20198), _u20191), hAPP(c_List_Oset(_u20198), _u20202))) | ~hBOOL(hAPP(_u20200, _u20191)) | ( _u20191 = skolem533(_u20202, _u20200, _u20198)) )).
% 29.00/29.22 cnf(fact_list__ex1__iff__raw-4, axiom, ( c_List_Olist__ex1(_u20199, _u20201, _u20203) | ~hBOOL(hAPP(hAPP(c_member(_u20199), _u20194), hAPP(c_List_Oset(_u20199), _u20203))) | ~hBOOL(hAPP(_u20201, _u20194)) | hBOOL(hAPP(hAPP(c_member(_u20199), skolem534(_u20203, _u20201, _u20199, _u20194)), hAPP(c_List_Oset(_u20199), _u20203))) )).
% 29.00/29.22 cnf(fact_list__ex1__iff__raw-5, axiom, ( c_List_Olist__ex1(_u20199, _u20201, _u20203) | ~hBOOL(hAPP(hAPP(c_member(_u20199), _u20194), hAPP(c_List_Oset(_u20199), _u20203))) | ~hBOOL(hAPP(_u20201, _u20194)) | hBOOL(hAPP(_u20201, skolem534(_u20203, _u20201, _u20199, _u20194))) )).
% 29.00/29.22 cnf(fact_list__ex1__iff__raw-6, axiom, ( c_List_Olist__ex1(_u20199, _u20201, _u20203) | ~hBOOL(hAPP(hAPP(c_member(_u20199), _u20194), hAPP(c_List_Oset(_u20199), _u20203))) | ~hBOOL(hAPP(_u20201, _u20194)) | ( skolem534(_u20203, _u20201, _u20199, _u20194) != _u20194) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_setsum__UNION__zero ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_setsum__UNION__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem536(_u20211, _u20210, _u20209, _u20208)), _u20210)) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem537(_u20211, _u20210, _u20209, _u20208)), _u20210)) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | ( skolem536(_u20211, _u20210, _u20209, _u20208) != skolem537(_u20211, _u20210, _u20209, _u20208)) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(_u20209), skolem538(_u20211, _u20210, _u20209, _u20208)), skolem536(_u20211, _u20210, _u20209, _u20208))) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(_u20209), skolem538(_u20211, _u20210, _u20209, _u20208)), skolem537(_u20211, _u20210, _u20209, _u20208))) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-6, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | ( hAPP(_u20211, skolem538(_u20211, _u20210, _u20209, _u20208)) != c_Groups_Ozero__class_Ozero(_u20208)) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-7, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem536(_u20211, _u20210, _u20209, _u20208)), _u20210)) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-8, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem537(_u20211, _u20210, _u20209, _u20208)), _u20210)) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-9, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | ( skolem536(_u20211, _u20210, _u20209, _u20208) != skolem537(_u20211, _u20210, _u20209, _u20208)) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-10, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(_u20209), skolem538(_u20211, _u20210, _u20209, _u20208)), skolem536(_u20211, _u20210, _u20209, _u20208))) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-11, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(_u20209), skolem538(_u20211, _u20210, _u20209, _u20208)), skolem537(_u20211, _u20210, _u20209, _u20208))) )).
% 29.00/29.22 cnf(fact_setsum__UNION__zero-12, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | ( hAPP(_u20211, skolem538(_u20211, _u20210, _u20209, _u20208)) != c_Groups_Ozero__class_Ozero(_u20208)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_THE__default__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_THE__default__def-1, axiom, ( ( c_FunDef_OTHE__default(_u20221, _u20223, _u20219) = c_HOL_OThe(_u20221, _u20219)) | ~hBOOL(hAPP(_u20219, _u20213)) | hBOOL(hAPP(_u20219, skolem539(_u20223, _u20221, _u20219, _u20213))) )).
% 29.00/29.22 cnf(fact_THE__default__def-2, axiom, ( ( c_FunDef_OTHE__default(_u20221, _u20223, _u20219) = c_HOL_OThe(_u20221, _u20219)) | ~hBOOL(hAPP(_u20219, _u20213)) | ( skolem539(_u20223, _u20221, _u20219, _u20213) != _u20213) )).
% 29.00/29.22 cnf(fact_THE__default__def-3, axiom, ( ( c_FunDef_OTHE__default(_u20222, _u20224, _u20220) = _u20224) | hBOOL(hAPP(_u20220, skolem540(_u20224, _u20222, _u20220))) )).
% 29.00/29.22 cnf(fact_THE__default__def-4, axiom, ( ( c_FunDef_OTHE__default(_u20222, _u20224, _u20220) = _u20224) | ~hBOOL(hAPP(_u20220, _u20214)) | ( _u20214 = skolem540(_u20224, _u20222, _u20220)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_INF2__I ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_INF2__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20226, tc_fun(_u20231, tc_fun(_u20232, tc_HOL_Obool))), _u20227), _u20228), _u20229), _u20230)) | hBOOL(hAPP(hAPP(c_member(_u20226), skolem541(_u20232, _u20231, _u20230, _u20229, _u20228, _u20227, _u20226)), _u20227)) )).
% 29.00/29.22 cnf(fact_INF2__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20226, tc_fun(_u20231, tc_fun(_u20232, tc_HOL_Obool))), _u20227), _u20228), _u20229), _u20230)) | ~hBOOL(hAPP(hAPP(hAPP(_u20228, skolem541(_u20232, _u20231, _u20230, _u20229, _u20228, _u20227, _u20226)), _u20229), _u20230)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_SUP2__E ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_SUP2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20234, tc_fun(_u20235, tc_fun(_u20236, tc_HOL_Obool))), _u20237), _u20238), _u20239), _u20240)) | hBOOL(hAPP(hAPP(c_member(_u20234), skolem542(_u20240, _u20239, _u20238, _u20237, _u20236, _u20235, _u20234)), _u20237)) )).
% 29.00/29.22 cnf(fact_SUP2__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20234, tc_fun(_u20235, tc_fun(_u20236, tc_HOL_Obool))), _u20237), _u20238), _u20239), _u20240)) | hBOOL(hAPP(hAPP(hAPP(_u20238, skolem542(_u20240, _u20239, _u20238, _u20237, _u20236, _u20235, _u20234)), _u20239), _u20240)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_finite__maxlen ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_finite__maxlen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u20243)), _u20244)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20243)), _u20241), _u20244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20243)), _u20241)), skolem543(_u20244, _u20243))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Osize_I3_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20245)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20245)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Osize_I1_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Osize_I1_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20246, _u20247), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20246)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Osimps_I4_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Osimps_I4_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20248, _u20249, _u20250, _u20251, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20249)) = _u20250) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact__02 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact__02-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u20252, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20252), _u20253) = _u20253) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Osimps_I3_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Osimps_I3_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20254, _u20255, _u20256) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20254)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Osimps_I2_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20257) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20257, _u20258, _u20259)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_list__all__iff__all__interval__int ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_list__all__iff__all__interval__int-1, axiom, ( ~c_List_Olist__all(tc_Int_Oint, _u20263, c_List_Oupto(_u20265, _u20267)) | c_List_Oall__interval__int(_u20263, _u20265, _u20267) )).
% 29.00/29.22 cnf(fact_list__all__iff__all__interval__int-2, axiom, ( ~c_List_Oall__interval__int(_u20264, _u20266, _u20268) | c_List_Olist__all(tc_Int_Oint, _u20264, c_List_Oupto(_u20266, _u20268)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_list__ex__iff__not__all__inverval__int ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_list__ex__iff__not__all__inverval__int-1, axiom, ( ~c_List_Olist__ex(tc_Int_Oint, _u20272, c_List_Oupto(_u20274, _u20276)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20272), _u20274, _u20276) )).
% 29.00/29.22 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), _u20273), _u20275, _u20277) | c_List_Olist__ex(tc_Int_Oint, _u20273, c_List_Oupto(_u20275, _u20277)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_all__interval__int__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_all__interval__int__def-1, axiom, ( ~c_List_Oall__interval__int(_u20283, _u20285, _u20287) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u20278), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20285, _u20287))) | hBOOL(hAPP(_u20283, _u20278)) )).
% 29.00/29.22 cnf(fact_all__interval__int__def-2, axiom, ( c_List_Oall__interval__int(_u20284, _u20286, _u20288) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem544(_u20288, _u20286, _u20284)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20286, _u20288))) )).
% 29.00/29.22 cnf(fact_all__interval__int__def-3, axiom, ( c_List_Oall__interval__int(_u20284, _u20286, _u20288) | ~hBOOL(hAPP(_u20284, skolem544(_u20288, _u20286, _u20284))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20293), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20295, _u20297, _u20293, _u20299) = 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(_u20295)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20295))) )).
% 29.00/29.22 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20294), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20296, _u20298, _u20294, _u20300) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u20296, 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(_u20296)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u20298, _u20300)), 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(_u20296)))), 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(_u20296)))), 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(_u20296)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u20296, 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(_u20296)))), 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(_u20296)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u20296, _u20298, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20294), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u20300))), 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(_u20296)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296)))), 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(_u20296)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u20296, 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(_u20296)))), 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(_u20296)))), 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(_u20296))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296)))), 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(_u20296)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296))))), tc_prod(_u20296, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u20296)), hAPP(hAPP(c_COMBB(_u20296, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296)))), tc_prod(_u20296, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u20296)), c_Product__Type_Ofst(_u20296, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20303, hAPP(c_Product__Type_Osnd(_u20304, _u20305), _u20306)), hAPP(c_Product__Type_Ofst(_u20304, _u20305), _u20306))) | hBOOL(hAPP(_u20307, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20304, _u20305, _u20309), _u20308), _u20306))) | hBOOL(hAPP(hAPP(_u20303, skolem546(_u20309, _u20308, _u20307, _u20306, _u20305, _u20304, _u20303)), skolem545(_u20309, _u20308, _u20307, _u20306, _u20305, _u20304, _u20303))) )).
% 29.00/29.22 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20303, hAPP(c_Product__Type_Osnd(_u20304, _u20305), _u20306)), hAPP(c_Product__Type_Ofst(_u20304, _u20305), _u20306))) | hBOOL(hAPP(_u20307, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20304, _u20305, _u20309), _u20308), _u20306))) | ~hBOOL(hAPP(_u20307, hAPP(hAPP(_u20308, skolem545(_u20309, _u20308, _u20307, _u20306, _u20305, _u20304, _u20303)), skolem546(_u20309, _u20308, _u20307, _u20306, _u20305, _u20304, _u20303)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u20310, _u20311, _u20312) = 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(_u20310)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20310))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u20313), _u20314), _u20315), _u20316) = 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(_u20313)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u20313), _u20314))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u20317, _u20318, _u20319, _u20320) = c_Random__Sequence_Obind(_u20317, _u20318, _u20320, hAPP(c_Fun_Ocomp(_u20318, 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(_u20318)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u20317, c_Random__Sequence_Osingle(_u20318)), _u20319))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Image__Collect__split ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Image__Collect__split-1, axiom, ( ( hAPP(c_Relation_OImage(_u20321, _u20322, hAPP(c_Set_OCollect(tc_prod(_u20321, _u20322)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20321, _u20322, tc_HOL_Obool), _u20323))), _u20324) = hAPP(c_Set_OCollect(_u20322), hAPP(hAPP(c_COMBB(tc_fun(_u20321, tc_HOL_Obool), tc_HOL_Obool, _u20322), c_HOL_OEx(_u20321)), hAPP(hAPP(c_COMBB(tc_fun(_u20321, tc_HOL_Obool), tc_fun(_u20321, tc_HOL_Obool), _u20322), hAPP(c_COMBS(_u20321, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20321), c_fconj), hAPP(hAPP(c_COMBC(_u20321, tc_fun(_u20321, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20321)), _u20324)))), hAPP(c_COMBC(_u20321, _u20322, tc_HOL_Obool), _u20323))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Bex__set__list__ex ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Bex__set__list__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20330), _u20325), hAPP(c_List_Oset(_u20330), _u20332))) | ~hBOOL(hAPP(_u20334, _u20325)) | c_List_Olist__ex(_u20330, _u20334, _u20332) )).
% 29.00/29.22 cnf(fact_Bex__set__list__ex-2, axiom, ( ~c_List_Olist__ex(_u20331, _u20335, _u20333) | hBOOL(hAPP(hAPP(c_member(_u20331), skolem547(_u20335, _u20333, _u20331)), hAPP(c_List_Oset(_u20331), _u20333))) )).
% 29.00/29.22 cnf(fact_Bex__set__list__ex-3, axiom, ( ~c_List_Olist__ex(_u20331, _u20335, _u20333) | hBOOL(hAPP(_u20335, skolem547(_u20335, _u20333, _u20331))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_list__ex__iff__raw ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_list__ex__iff__raw-1, axiom, ( ~c_List_Olist__ex(_u20341, _u20343, _u20345) | hBOOL(hAPP(hAPP(c_member(_u20341), skolem548(_u20345, _u20343, _u20341)), hAPP(c_List_Oset(_u20341), _u20345))) )).
% 29.00/29.22 cnf(fact_list__ex__iff__raw-2, axiom, ( ~c_List_Olist__ex(_u20341, _u20343, _u20345) | hBOOL(hAPP(_u20343, skolem548(_u20345, _u20343, _u20341))) )).
% 29.00/29.22 cnf(fact_list__ex__iff__raw-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20342), _u20337), hAPP(c_List_Oset(_u20342), _u20346))) | ~hBOOL(hAPP(_u20344, _u20337)) | c_List_Olist__ex(_u20342, _u20344, _u20346) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_UN__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_UN__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20347, tc_fun(_u20348, tc_HOL_Obool)), _u20349), _u20350) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20348, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20348, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20347, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20348, tc_HOL_Obool)), c_HOL_OEx(_u20347)), hAPP(hAPP(c_COMBB(tc_fun(_u20347, tc_HOL_Obool), tc_fun(_u20347, tc_HOL_Obool), tc_fun(_u20348, tc_HOL_Obool)), hAPP(c_COMBS(_u20347, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20347), c_fconj), hAPP(hAPP(c_COMBC(_u20347, tc_fun(_u20347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20347)), _u20349)))), hAPP(hAPP(c_COMBC(tc_fun(_u20348, tc_HOL_Obool), tc_fun(_u20347, tc_fun(_u20348, tc_HOL_Obool)), tc_fun(_u20347, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20348, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20347, tc_fun(_u20348, tc_HOL_Obool)), tc_fun(_u20347, tc_HOL_Obool)), tc_fun(_u20348, tc_HOL_Obool)), c_COMBB(tc_fun(_u20348, tc_HOL_Obool), tc_HOL_Obool, _u20347)), c_fequal)), _u20350)))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_SUPR__bool__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_SUPR__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20351, tc_HOL_Obool) = c_Set_OBex(_u20351)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bex__empty ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bex__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20353), _u20352), c_Orderings_Obot__class_Obot(tc_fun(_u20353, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20354, _u20352)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bex__UNIV ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bex__UNIV-1, axiom, ( hBOOL(hAPP(_u20363, skolem549(_u20363))) | ~hBOOL(hAPP(hAPP(c_member(_u20361), _u20355), c_Orderings_Otop__class_Otop(tc_fun(_u20361, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20363, _u20355)) )).
% 29.00/29.22 cnf(fact_bex__UNIV-2, axiom, ( ~hBOOL(hAPP(_u20364, _u20357)) | hBOOL(hAPP(hAPP(c_member(_u20362), skolem550(_u20364, _u20362)), c_Orderings_Otop__class_Otop(tc_fun(_u20362, tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(fact_bex__UNIV-3, axiom, ( ~hBOOL(hAPP(_u20364, _u20357)) | hBOOL(hAPP(_u20364, skolem550(_u20364, _u20362))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_finite__Collect__bex ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_finite__Collect__bex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20367), _u20368)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool, _u20369), c_HOL_OEx(_u20367)), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_fun(_u20367, tc_HOL_Obool), _u20369), hAPP(c_COMBS(_u20367, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20367), c_fconj), hAPP(hAPP(c_COMBC(_u20367, tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20367)), _u20368)))), _u20370))))) | ~hBOOL(hAPP(hAPP(c_member(_u20367), _u20365), _u20368)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBC(_u20369, _u20367, tc_HOL_Obool), _u20370), _u20365)))) )).
% 29.00/29.22 cnf(fact_finite__Collect__bex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20367), _u20368)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool, _u20369), c_HOL_OEx(_u20367)), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_fun(_u20367, tc_HOL_Obool), _u20369), hAPP(c_COMBS(_u20367, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20367), c_fconj), hAPP(hAPP(c_COMBC(_u20367, tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20367)), _u20368)))), _u20370))))) | hBOOL(hAPP(hAPP(c_member(_u20367), skolem551(_u20370, _u20369, _u20368, _u20367)), _u20368)) )).
% 29.00/29.22 cnf(fact_finite__Collect__bex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20367), _u20368)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool, _u20369), c_HOL_OEx(_u20367)), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_fun(_u20367, tc_HOL_Obool), _u20369), hAPP(c_COMBS(_u20367, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20367), c_fconj), hAPP(hAPP(c_COMBC(_u20367, tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20367)), _u20368)))), _u20370))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBC(_u20369, _u20367, tc_HOL_Obool), _u20370), skolem551(_u20370, _u20369, _u20368, _u20367))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Union__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Union__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20371, tc_HOL_Obool), _u20372) = hAPP(c_Set_OCollect(_u20371), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20371, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u20371), c_HOL_OEx(tc_fun(_u20371, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20371, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20371, tc_HOL_Obool), tc_HOL_Obool), _u20371), hAPP(c_COMBS(tc_fun(_u20371, 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(_u20371, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20371, tc_HOL_Obool), tc_fun(tc_fun(_u20371, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20371, tc_HOL_Obool))), _u20372)))), c_member(_u20371))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_INT__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_INT__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20373, tc_fun(_u20374, tc_HOL_Obool)), _u20375), _u20376) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20374, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20374, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20373, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20374, tc_HOL_Obool)), c_HOL_OEx(_u20373)), hAPP(hAPP(c_COMBB(tc_fun(_u20373, tc_HOL_Obool), tc_fun(_u20373, tc_HOL_Obool), tc_fun(_u20374, tc_HOL_Obool)), hAPP(c_COMBS(_u20373, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20373), c_fconj), hAPP(hAPP(c_COMBC(_u20373, tc_fun(_u20373, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20373)), _u20375)))), hAPP(hAPP(c_COMBC(tc_fun(_u20374, tc_HOL_Obool), tc_fun(_u20373, tc_fun(_u20374, tc_HOL_Obool)), tc_fun(_u20373, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20374, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20373, tc_fun(_u20374, tc_HOL_Obool)), tc_fun(_u20373, tc_HOL_Obool)), tc_fun(_u20374, tc_HOL_Obool)), c_COMBB(tc_fun(_u20374, tc_HOL_Obool), tc_HOL_Obool, _u20373)), c_fequal)), _u20376)))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Sup__fun__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Sup__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20377) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20378, _u20377), _u20379), _u20380) = c_Complete__Lattice_OSup__class_OSup(_u20377, hAPP(c_Set_OCollect(_u20377), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool), tc_HOL_Obool, _u20377), c_HOL_OEx(tc_fun(_u20378, _u20377))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool), tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool), _u20377), hAPP(c_COMBS(tc_fun(_u20378, _u20377), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20378, _u20377)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20378, _u20377), tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20378, _u20377))), _u20379)))), hAPP(hAPP(c_COMBC(_u20377, tc_fun(tc_fun(_u20378, _u20377), _u20377), tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20377, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20378, _u20377), _u20377), tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool)), _u20377), c_COMBB(_u20377, tc_HOL_Obool, tc_fun(_u20378, _u20377))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20378, _u20377), _u20378, _u20377), c_COMBI(tc_fun(_u20378, _u20377))), _u20380))))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Sup__apply ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Sup__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20381) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20382, _u20381), _u20383), _u20384) = c_Complete__Lattice_OSup__class_OSup(_u20381, hAPP(c_Set_OCollect(_u20381), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool), tc_HOL_Obool, _u20381), c_HOL_OEx(tc_fun(_u20382, _u20381))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool), tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool), _u20381), hAPP(c_COMBS(tc_fun(_u20382, _u20381), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20382, _u20381)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20382, _u20381), tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20382, _u20381))), _u20383)))), hAPP(hAPP(c_COMBC(_u20381, tc_fun(tc_fun(_u20382, _u20381), _u20381), tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20381, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20382, _u20381), _u20381), tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool)), _u20381), c_COMBB(_u20381, tc_HOL_Obool, tc_fun(_u20382, _u20381))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20382, _u20381), _u20382, _u20381), c_COMBI(tc_fun(_u20382, _u20381))), _u20384))))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Inf__apply ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Inf__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20385) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20386, _u20385), _u20387), _u20388) = c_Complete__Lattice_OInf__class_OInf(_u20385, hAPP(c_Set_OCollect(_u20385), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool), tc_HOL_Obool, _u20385), c_HOL_OEx(tc_fun(_u20386, _u20385))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool), tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool), _u20385), hAPP(c_COMBS(tc_fun(_u20386, _u20385), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20386, _u20385)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20386, _u20385), tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20386, _u20385))), _u20387)))), hAPP(hAPP(c_COMBC(_u20385, tc_fun(tc_fun(_u20386, _u20385), _u20385), tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20385, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20386, _u20385), _u20385), tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool)), _u20385), c_COMBB(_u20385, tc_HOL_Obool, tc_fun(_u20386, _u20385))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20386, _u20385), _u20386, _u20385), c_COMBI(tc_fun(_u20386, _u20385))), _u20388))))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_Inf__fun__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_Inf__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20389) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20390, _u20389), _u20391), _u20392) = c_Complete__Lattice_OInf__class_OInf(_u20389, hAPP(c_Set_OCollect(_u20389), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool), tc_HOL_Obool, _u20389), c_HOL_OEx(tc_fun(_u20390, _u20389))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool), tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool), _u20389), hAPP(c_COMBS(tc_fun(_u20390, _u20389), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20390, _u20389)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20390, _u20389), tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20390, _u20389))), _u20391)))), hAPP(hAPP(c_COMBC(_u20389, tc_fun(tc_fun(_u20390, _u20389), _u20389), tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20389, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20390, _u20389), _u20389), tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool)), _u20389), c_COMBB(_u20389, tc_HOL_Obool, tc_fun(_u20390, _u20389))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20390, _u20389), _u20390, _u20389), c_COMBI(tc_fun(_u20390, _u20389))), _u20392))))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_max__extp_Ointros ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_max__extp_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20395), _u20396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20395), _u20397)) | ( _u20397 = c_Orderings_Obot__class_Obot(tc_fun(_u20395, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20395, _u20398, _u20396, _u20397) | hBOOL(hAPP(hAPP(c_member(_u20395), skolem552(_u20398, _u20397, _u20396, _u20395)), _u20396)) )).
% 29.00/29.22 cnf(fact_max__extp_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20395), _u20396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20395), _u20397)) | ( _u20397 = c_Orderings_Obot__class_Obot(tc_fun(_u20395, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20395, _u20398, _u20396, _u20397) | ~hBOOL(hAPP(hAPP(c_member(_u20395), _u20393), _u20397)) | ~hBOOL(hAPP(hAPP(_u20398, skolem552(_u20398, _u20397, _u20396, _u20395)), _u20393)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_max__extp_Osimps ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_max__extp_Osimps-1, axiom, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20407), _u20411)) )).
% 29.00/29.22 cnf(fact_max__extp_Osimps-2, axiom, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20407), _u20413)) )).
% 29.00/29.22 cnf(fact_max__extp_Osimps-3, axiom, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | ( _u20413 != c_Orderings_Obot__class_Obot(tc_fun(_u20407, tc_HOL_Obool))) )).
% 29.00/29.22 cnf(fact_max__extp_Osimps-4, axiom, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | ~hBOOL(hAPP(hAPP(c_member(_u20407), _u20400), _u20411)) | hBOOL(hAPP(hAPP(c_member(_u20407), skolem553(_u20413, _u20411, _u20409, _u20407, _u20400)), _u20413)) )).
% 29.00/29.22 cnf(fact_max__extp_Osimps-5, axiom, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | ~hBOOL(hAPP(hAPP(c_member(_u20407), _u20400), _u20411)) | hBOOL(hAPP(hAPP(_u20409, _u20400), skolem553(_u20413, _u20411, _u20409, _u20407, _u20400))) )).
% 29.00/29.22 cnf(fact_max__extp_Osimps-6, axiom, ( c_Wellfounded_Omax__extp(_u20408, _u20410, _u20412, _u20414) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20408), _u20412)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20408), _u20414)) | ( _u20414 = c_Orderings_Obot__class_Obot(tc_fun(_u20408, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u20408), skolem554(_u20414, _u20412, _u20410, _u20408)), _u20412)) )).
% 29.00/29.22 cnf(fact_max__extp_Osimps-7, axiom, ( c_Wellfounded_Omax__extp(_u20408, _u20410, _u20412, _u20414) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20408), _u20412)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20408), _u20414)) | ( _u20414 = c_Orderings_Obot__class_Obot(tc_fun(_u20408, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u20408), _u20401), _u20414)) | ~hBOOL(hAPP(hAPP(_u20410, skolem554(_u20414, _u20412, _u20410, _u20408)), _u20401)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_fun__lub__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_fun__lub__def-1, axiom, ( ( c_Partial__Function_Ofun__lub(_u20415, _u20416, _u20417, _u20418, _u20419, _u20420) = hAPP(_u20418, hAPP(c_Set_OCollect(_u20415), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool), tc_HOL_Obool, _u20415), c_HOL_OEx(tc_fun(_u20417, _u20415))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool), tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool), _u20415), hAPP(c_COMBS(tc_fun(_u20417, _u20415), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20417, _u20415)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20417, _u20415), tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20417, _u20415))), _u20419)))), hAPP(hAPP(c_COMBC(_u20415, tc_fun(tc_fun(_u20417, _u20415), _u20415), tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20415, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20417, _u20415), _u20415), tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool)), _u20415), c_COMBB(_u20415, tc_HOL_Obool, tc_fun(_u20417, _u20415))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20417, _u20415), _u20417, _u20415), c_COMBI(tc_fun(_u20417, _u20415))), _u20420))))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lexord__trans ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lexord__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20421), tc_List_Olist(_u20421))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20421), tc_List_Olist(_u20421)), _u20422), _u20423)), c_List_Olexord(_u20421, _u20424))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20421), tc_List_Olist(_u20421))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20421), tc_List_Olist(_u20421)), _u20423), _u20425)), c_List_Olexord(_u20421, _u20424))) | ~c_Relation_Otrans(_u20421, _u20424) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20421), tc_List_Olist(_u20421))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20421), tc_List_Olist(_u20421)), _u20422), _u20425)), c_List_Olexord(_u20421, _u20424))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__less__than ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__less__than-1, axiom, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__lex__prod ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__lex__prod-1, axiom, ( ~c_Relation_Otrans(_u20426, _u20427) | ~c_Relation_Otrans(_u20428, _u20429) | c_Relation_Otrans(tc_prod(_u20426, _u20428), c_Wellfounded_Olex__prod(_u20426, _u20428, _u20427, _u20429)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__trancl ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__trancl-1, axiom, ( c_Relation_Otrans(_u20430, c_Transitive__Closure_Otrancl(_u20430, _u20431)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trancl__id ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trancl__id-1, axiom, ( ~c_Relation_Otrans(_u20432, _u20433) | ( c_Transitive__Closure_Otrancl(_u20432, _u20433) = _u20433) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__reflclI ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__reflclI-1, axiom, ( ~c_Relation_Otrans(_u20434, _u20435) | c_Relation_Otrans(_u20434, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20434, _u20434), tc_HOL_Obool)), _u20435), c_Relation_OId(_u20434))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__O__subset ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__O__subset-1, axiom, ( ~c_Relation_Otrans(_u20436, _u20437) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20436, _u20436), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20436, _u20436, _u20436), _u20437), _u20437)), _u20437)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__Int ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__Int-1, axiom, ( ~c_Relation_Otrans(_u20438, _u20439) | ~c_Relation_Otrans(_u20438, _u20440) | c_Relation_Otrans(_u20438, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20438, _u20438), tc_HOL_Obool)), _u20439), _u20440)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__finite__psubset ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__finite__psubset-1, axiom, ( c_Relation_Otrans(tc_fun(_u20441, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u20441)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lexord__transI ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lexord__transI-1, axiom, ( ~c_Relation_Otrans(_u20442, _u20443) | c_Relation_Otrans(tc_List_Olist(_u20442), c_List_Olexord(_u20442, _u20443)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__Id__on ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__Id__on-1, axiom, ( c_Relation_Otrans(_u20444, c_Relation_OId__on(_u20444, _u20445)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__Id ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__Id-1, axiom, ( c_Relation_Otrans(_u20446, c_Relation_OId(_u20446)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_listrel__trans ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_listrel__trans-1, axiom, ( ~c_Relation_Otrans(_u20447, _u20448) | c_Relation_Otrans(tc_List_Olist(_u20447), c_List_Olistrel(_u20447, _u20448)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__inv__image ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__inv__image-1, axiom, ( ~c_Relation_Otrans(_u20449, _u20450) | c_Relation_Otrans(_u20451, hAPP(hAPP(c_Relation_Oinv__image(_u20449, _u20451), _u20450), _u20452)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__rtrancl ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__rtrancl-1, axiom, ( c_Relation_Otrans(_u20453, c_Transitive__Closure_Ortrancl(_u20453, _u20454)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__converse ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__converse-1, axiom, ( ~c_Relation_Otrans(_u20457, hAPP(c_Relation_Oconverse(_u20457, _u20457), _u20459)) | c_Relation_Otrans(_u20457, _u20459) )).
% 29.00/29.22 cnf(fact_trans__converse-2, axiom, ( ~c_Relation_Otrans(_u20458, _u20460) | c_Relation_Otrans(_u20458, hAPP(c_Relation_Oconverse(_u20458, _u20458), _u20460)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_transD ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_transD-1, axiom, ( ~c_Relation_Otrans(_u20461, _u20462) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20461, _u20461)), hAPP(hAPP(c_Product__Type_OPair(_u20461, _u20461), _u20463), _u20464)), _u20462)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20461, _u20461)), hAPP(hAPP(c_Product__Type_OPair(_u20461, _u20461), _u20464), _u20465)), _u20462)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20461, _u20461)), hAPP(hAPP(c_Product__Type_OPair(_u20461, _u20461), _u20463), _u20465)), _u20462)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__def-1, axiom, ( ~c_Relation_Otrans(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20474, _u20474)), hAPP(hAPP(c_Product__Type_OPair(_u20474, _u20474), _u20468), _u20467)), _u20476)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20474, _u20474)), hAPP(hAPP(c_Product__Type_OPair(_u20474, _u20474), _u20467), _u20466)), _u20476)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20474, _u20474)), hAPP(hAPP(c_Product__Type_OPair(_u20474, _u20474), _u20468), _u20466)), _u20476)) )).
% 29.00/29.22 cnf(fact_trans__def-2, axiom, ( c_Relation_Otrans(_u20475, _u20477) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20475, _u20475)), hAPP(hAPP(c_Product__Type_OPair(_u20475, _u20475), skolem555(_u20477, _u20475)), skolem556(_u20477, _u20475))), _u20477)) )).
% 29.00/29.22 cnf(fact_trans__def-3, axiom, ( c_Relation_Otrans(_u20475, _u20477) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20475, _u20475)), hAPP(hAPP(c_Product__Type_OPair(_u20475, _u20475), skolem556(_u20477, _u20475)), skolem557(_u20477, _u20475))), _u20477)) )).
% 29.00/29.22 cnf(fact_trans__def-4, axiom, ( c_Relation_Otrans(_u20475, _u20477) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20475, _u20475)), hAPP(hAPP(c_Product__Type_OPair(_u20475, _u20475), skolem555(_u20477, _u20475)), skolem557(_u20477, _u20475))), _u20477)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_transp__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_transp__def-1, axiom, ( ~c_Predicate_Otransp(_u20480, _u20482) | c_Relation_Otrans(_u20480, hAPP(c_Set_OCollect(tc_prod(_u20480, _u20480)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20480, _u20480, tc_HOL_Obool), _u20482))) )).
% 29.00/29.22 cnf(fact_transp__def-2, axiom, ( ~c_Relation_Otrans(_u20481, hAPP(c_Set_OCollect(tc_prod(_u20481, _u20481)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20481, _u20481, tc_HOL_Obool), _u20483))) | c_Predicate_Otransp(_u20481, _u20483) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_trans__diff__Id ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_trans__diff__Id-1, axiom, ( ~c_Relation_Otrans(_u20484, _u20485) | ~c_Relation_Oantisym(_u20484, _u20485) | c_Relation_Otrans(_u20484, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20484, _u20484), tc_HOL_Obool)), _u20485), c_Relation_OId(_u20484))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_antisym__converse ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_antisym__converse-1, axiom, ( ~c_Relation_Oantisym(_u20488, hAPP(c_Relation_Oconverse(_u20488, _u20488), _u20490)) | c_Relation_Oantisym(_u20488, _u20490) )).
% 29.00/29.22 cnf(fact_antisym__converse-2, axiom, ( ~c_Relation_Oantisym(_u20489, _u20491) | c_Relation_Oantisym(_u20489, hAPP(c_Relation_Oconverse(_u20489, _u20489), _u20491)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_antisym__Id__on ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_antisym__Id__on-1, axiom, ( c_Relation_Oantisym(_u20492, c_Relation_OId__on(_u20492, _u20493)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_antisym__Id ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_antisym__Id-1, axiom, ( c_Relation_Oantisym(_u20494, c_Relation_OId(_u20494)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_transpE ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_transpE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20496, _u20497), _u20498)) | ~hBOOL(hAPP(hAPP(_u20496, _u20498), _u20499)) | hBOOL(hAPP(hAPP(_u20496, _u20497), _u20499)) | ~c_Predicate_Otransp(_u20495, _u20496) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_antisym__empty ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_antisym__empty-1, axiom, ( c_Relation_Oantisym(_u20500, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u20500, _u20500), tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_antisym__subset ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_antisym__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20501, _u20501), tc_HOL_Obool)), _u20502), _u20503)) | ~c_Relation_Oantisym(_u20501, _u20503) | c_Relation_Oantisym(_u20501, _u20502) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_antisym__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_antisym__def-1, axiom, ( ~c_Relation_Oantisym(_u20510, _u20512) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20510, _u20510)), hAPP(hAPP(c_Product__Type_OPair(_u20510, _u20510), _u20505), _u20504)), _u20512)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20510, _u20510)), hAPP(hAPP(c_Product__Type_OPair(_u20510, _u20510), _u20504), _u20505)), _u20512)) | ( _u20505 = _u20504) )).
% 29.00/29.22 cnf(fact_antisym__def-2, axiom, ( c_Relation_Oantisym(_u20511, _u20513) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20511, _u20511)), hAPP(hAPP(c_Product__Type_OPair(_u20511, _u20511), skolem558(_u20513, _u20511)), skolem559(_u20513, _u20511))), _u20513)) )).
% 29.00/29.22 cnf(fact_antisym__def-3, axiom, ( c_Relation_Oantisym(_u20511, _u20513) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20511, _u20511)), hAPP(hAPP(c_Product__Type_OPair(_u20511, _u20511), skolem559(_u20513, _u20511)), skolem558(_u20513, _u20511))), _u20513)) )).
% 29.00/29.22 cnf(fact_antisym__def-4, axiom, ( c_Relation_Oantisym(_u20511, _u20513) | ( skolem558(_u20513, _u20511) != skolem559(_u20513, _u20511)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_antisymD ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_antisymD-1, axiom, ( ~c_Relation_Oantisym(_u20514, _u20515) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20514, _u20514)), hAPP(hAPP(c_Product__Type_OPair(_u20514, _u20514), _u20516), _u20517)), _u20515)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20514, _u20514)), hAPP(hAPP(c_Product__Type_OPair(_u20514, _u20514), _u20517), _u20516)), _u20515)) | ( _u20516 = _u20517) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_antisym__reflcl ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_antisym__reflcl-1, axiom, ( ~c_Relation_Oantisym(_u20520, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20520, _u20520), tc_HOL_Obool)), _u20522), c_Relation_OId(_u20520))) | c_Relation_Oantisym(_u20520, _u20522) )).
% 29.00/29.22 cnf(fact_antisym__reflcl-2, axiom, ( ~c_Relation_Oantisym(_u20521, _u20523) | c_Relation_Oantisym(_u20521, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20521, _u20521), tc_HOL_Obool)), _u20523), c_Relation_OId(_u20521))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_acyclic__impl__antisym__rtrancl ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_acyclic__impl__antisym__rtrancl-1, axiom, ( ~c_Wellfounded_Oacyclic(_u20524, _u20525) | c_Relation_Oantisym(_u20524, c_Transitive__Closure_Ortrancl(_u20524, _u20525)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_equivpE ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_equivpE-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20526, _u20527) | c_Predicate_Oreflp(_u20526, _u20527) )).
% 29.00/29.22 cnf(fact_equivpE-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20526, _u20527) | c_Predicate_Osymp(_u20526, _u20527) )).
% 29.00/29.22 cnf(fact_equivpE-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20526, _u20527) | c_Predicate_Otransp(_u20526, _u20527) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_equivpI ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_equivpI-1, axiom, ( ~c_Predicate_Oreflp(_u20528, _u20529) | ~c_Predicate_Osymp(_u20528, _u20529) | ~c_Predicate_Otransp(_u20528, _u20529) | c_Equiv__Relations_Oequivp(_u20528, _u20529) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sympE ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sympE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20531, _u20532), _u20533)) | hBOOL(hAPP(hAPP(_u20531, _u20533), _u20532)) | ~c_Predicate_Osymp(_u20530, _u20531) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_equivp__reflp__symp__transp ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_equivp__reflp__symp__transp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20536, _u20538) | c_Predicate_Oreflp(_u20536, _u20538) )).
% 29.00/29.22 cnf(fact_equivp__reflp__symp__transp-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20536, _u20538) | c_Predicate_Osymp(_u20536, _u20538) )).
% 29.00/29.22 cnf(fact_equivp__reflp__symp__transp-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20536, _u20538) | c_Predicate_Otransp(_u20536, _u20538) )).
% 29.00/29.22 cnf(fact_equivp__reflp__symp__transp-4, axiom, ( ~c_Predicate_Oreflp(_u20537, _u20539) | ~c_Predicate_Osymp(_u20537, _u20539) | ~c_Predicate_Otransp(_u20537, _u20539) | c_Equiv__Relations_Oequivp(_u20537, _u20539) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__trans__comp__subset ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__trans__comp__subset-1, axiom, ( ~c_Relation_Osym(_u20540, _u20541) | ~c_Relation_Otrans(_u20540, _u20541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20540, _u20540), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20540, _u20540, _u20540), hAPP(c_Relation_Oconverse(_u20540, _u20540), _u20541)), _u20541)), _u20541)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_part__equivpI ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_part__equivpI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20543, _u20542), _u20542)) | ~c_Predicate_Osymp(_u20544, _u20543) | ~c_Predicate_Otransp(_u20544, _u20543) | c_Equiv__Relations_Opart__equivp(_u20544, _u20543) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__def-1, axiom, ( ~c_Relation_Osym(_u20551, _u20553) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20551, _u20551)), hAPP(hAPP(c_Product__Type_OPair(_u20551, _u20551), _u20546), _u20545)), _u20553)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20551, _u20551)), hAPP(hAPP(c_Product__Type_OPair(_u20551, _u20551), _u20545), _u20546)), _u20553)) )).
% 29.00/29.22 cnf(fact_sym__def-2, axiom, ( c_Relation_Osym(_u20552, _u20554) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20552, _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20552, _u20552), skolem560(_u20554, _u20552)), skolem561(_u20554, _u20552))), _u20554)) )).
% 29.00/29.22 cnf(fact_sym__def-3, axiom, ( c_Relation_Osym(_u20552, _u20554) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20552, _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20552, _u20552), skolem561(_u20554, _u20552)), skolem560(_u20554, _u20552))), _u20554)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_symD ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_symD-1, axiom, ( ~c_Relation_Osym(_u20555, _u20556) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20555, _u20555)), hAPP(hAPP(c_Product__Type_OPair(_u20555, _u20555), _u20557), _u20558)), _u20556)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20555, _u20555)), hAPP(hAPP(c_Product__Type_OPair(_u20555, _u20555), _u20558), _u20557)), _u20556)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__converse ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__converse-1, axiom, ( ~c_Relation_Osym(_u20561, hAPP(c_Relation_Oconverse(_u20561, _u20561), _u20563)) | c_Relation_Osym(_u20561, _u20563) )).
% 29.00/29.22 cnf(fact_sym__converse-2, axiom, ( ~c_Relation_Osym(_u20562, _u20564) | c_Relation_Osym(_u20562, hAPP(c_Relation_Oconverse(_u20562, _u20562), _u20564)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__conv__converse__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__conv__converse__eq-1, axiom, ( ~c_Relation_Osym(_u20567, _u20569) | ( hAPP(c_Relation_Oconverse(_u20567, _u20567), _u20569) = _u20569) )).
% 29.00/29.22 cnf(fact_sym__conv__converse__eq-2, axiom, ( ( hAPP(c_Relation_Oconverse(_u20568, _u20568), _u20570) != _u20570) | c_Relation_Osym(_u20568, _u20570) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__Un__converse ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__Un__converse-1, axiom, ( c_Relation_Osym(_u20571, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20571, _u20571), tc_HOL_Obool)), _u20572), hAPP(c_Relation_Oconverse(_u20571, _u20571), _u20572))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__rtrancl ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__rtrancl-1, axiom, ( ~c_Relation_Osym(_u20573, _u20574) | c_Relation_Osym(_u20573, c_Transitive__Closure_Ortrancl(_u20573, _u20574)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__inv__image ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__inv__image-1, axiom, ( ~c_Relation_Osym(_u20575, _u20576) | c_Relation_Osym(_u20577, hAPP(hAPP(c_Relation_Oinv__image(_u20575, _u20577), _u20576), _u20578)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_listrel__sym ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_listrel__sym-1, axiom, ( ~c_Relation_Osym(_u20579, _u20580) | c_Relation_Osym(tc_List_Olist(_u20579), c_List_Olistrel(_u20579, _u20580)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__Id ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__Id-1, axiom, ( c_Relation_Osym(_u20581, c_Relation_OId(_u20581)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_part__equivp__transp ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_part__equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20583, _u20584), _u20585)) | ~hBOOL(hAPP(hAPP(_u20583, _u20585), _u20586)) | hBOOL(hAPP(hAPP(_u20583, _u20584), _u20586)) | ~c_Equiv__Relations_Opart__equivp(_u20582, _u20583) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_part__equivp__symp ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_part__equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20588, _u20589), _u20590)) | hBOOL(hAPP(hAPP(_u20588, _u20590), _u20589)) | ~c_Equiv__Relations_Opart__equivp(_u20587, _u20588) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_part__equivp__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_part__equivp__def-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | hBOOL(hAPP(hAPP(_u20609, skolem562(_u20609)), skolem562(_u20609))) )).
% 29.00/29.22 cnf(fact_part__equivp__def-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | ~hBOOL(hAPP(hAPP(_u20609, _u20601), _u20599)) | hBOOL(hAPP(hAPP(_u20609, _u20601), _u20601)) )).
% 29.00/29.22 cnf(fact_part__equivp__def-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | ~hBOOL(hAPP(hAPP(_u20609, _u20601), _u20599)) | hBOOL(hAPP(hAPP(_u20609, _u20599), _u20599)) )).
% 29.00/29.22 cnf(fact_part__equivp__def-4, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | ~hBOOL(hAPP(hAPP(_u20609, _u20601), _u20599)) | ( hAPP(_u20609, _u20601) = hAPP(_u20609, _u20599)) )).
% 29.00/29.22 cnf(fact_part__equivp__def-5, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | ~hBOOL(hAPP(hAPP(_u20609, _u20602), _u20602)) | ~hBOOL(hAPP(hAPP(_u20609, _u20600), _u20600)) | ( hAPP(_u20609, _u20602) != hAPP(_u20609, _u20600)) | hBOOL(hAPP(hAPP(_u20609, _u20602), _u20600)) )).
% 29.00/29.22 cnf(fact_part__equivp__def-6, axiom, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem564(_u20610))) | hBOOL(hAPP(hAPP(_u20610, skolem565(_u20610)), skolem565(_u20610))) )).
% 29.00/29.22 cnf(fact_part__equivp__def-7, axiom, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem564(_u20610))) | hBOOL(hAPP(hAPP(_u20610, skolem566(_u20610)), skolem566(_u20610))) )).
% 29.00/29.22 cnf(fact_part__equivp__def-8, axiom, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem565(_u20610)) = hAPP(_u20610, skolem566(_u20610))) )).
% 29.00/29.22 cnf(fact_part__equivp__def-9, axiom, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem564(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem565(_u20610)), skolem566(_u20610))) )).
% 29.00/29.22 cnf(fact_part__equivp__def-10, axiom, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | ~hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem563(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem564(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem563(_u20610)) != hAPP(_u20610, skolem564(_u20610))) | hBOOL(hAPP(hAPP(_u20610, skolem565(_u20610)), skolem565(_u20610))) )).
% 29.00/29.22 cnf(fact_part__equivp__def-11, axiom, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | ~hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem563(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem564(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem563(_u20610)) != hAPP(_u20610, skolem564(_u20610))) | hBOOL(hAPP(hAPP(_u20610, skolem566(_u20610)), skolem566(_u20610))) )).
% 29.00/29.22 cnf(fact_part__equivp__def-12, axiom, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | ~hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem563(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem564(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem563(_u20610)) != hAPP(_u20610, skolem564(_u20610))) | ( hAPP(_u20610, skolem565(_u20610)) = hAPP(_u20610, skolem566(_u20610))) )).
% 29.00/29.22 cnf(fact_part__equivp__def-13, axiom, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | ~hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem563(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem564(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem563(_u20610)) != hAPP(_u20610, skolem564(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem565(_u20610)), skolem566(_u20610))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__Id__on ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__Id__on-1, axiom, ( c_Relation_Osym(_u20611, c_Relation_OId__on(_u20611, _u20612)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__Un ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__Un-1, axiom, ( ~c_Relation_Osym(_u20613, _u20614) | ~c_Relation_Osym(_u20613, _u20615) | c_Relation_Osym(_u20613, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20613, _u20613), tc_HOL_Obool)), _u20614), _u20615)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__Int ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__Int-1, axiom, ( ~c_Relation_Osym(_u20616, _u20617) | ~c_Relation_Osym(_u20616, _u20618) | c_Relation_Osym(_u20616, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20616, _u20616), tc_HOL_Obool)), _u20617), _u20618)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_equivp__implies__part__equivp ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_equivp__implies__part__equivp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20619, _u20620) | c_Equiv__Relations_Opart__equivp(_u20619, _u20620) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__trancl ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__trancl-1, axiom, ( ~c_Relation_Osym(_u20621, _u20622) | c_Relation_Osym(_u20621, c_Transitive__Closure_Otrancl(_u20621, _u20622)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_sym__Int__converse ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_sym__Int__converse-1, axiom, ( c_Relation_Osym(_u20623, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20623, _u20623), tc_HOL_Obool)), _u20624), hAPP(c_Relation_Oconverse(_u20623, _u20623), _u20624))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_equiv__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_equiv__def-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20628, _u20630, _u20632) | c_Relation_Orefl__on(_u20628, _u20630, _u20632) )).
% 29.00/29.22 cnf(fact_equiv__def-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u20628, _u20630, _u20632) | c_Relation_Osym(_u20628, _u20632) )).
% 29.00/29.22 cnf(fact_equiv__def-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u20628, _u20630, _u20632) | c_Relation_Otrans(_u20628, _u20632) )).
% 29.00/29.22 cnf(fact_equiv__def-4, axiom, ( ~c_Relation_Orefl__on(_u20629, _u20631, _u20633) | ~c_Relation_Osym(_u20629, _u20633) | ~c_Relation_Otrans(_u20629, _u20633) | c_Equiv__Relations_Oequiv(_u20629, _u20631, _u20633) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_equivI ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_equivI-1, axiom, ( ~c_Relation_Orefl__on(_u20634, _u20635, _u20636) | ~c_Relation_Osym(_u20634, _u20636) | ~c_Relation_Otrans(_u20634, _u20636) | c_Equiv__Relations_Oequiv(_u20634, _u20635, _u20636) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_equivE ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_equivE-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20637, _u20638, _u20639) | c_Relation_Orefl__on(_u20637, _u20638, _u20639) )).
% 29.00/29.22 cnf(fact_equivE-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u20637, _u20638, _u20639) | c_Relation_Osym(_u20637, _u20639) )).
% 29.00/29.22 cnf(fact_equivE-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u20637, _u20638, _u20639) | c_Relation_Otrans(_u20637, _u20639) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_symp__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_symp__def-1, axiom, ( ~c_Predicate_Osymp(_u20642, _u20644) | c_Relation_Osym(_u20642, hAPP(c_Set_OCollect(tc_prod(_u20642, _u20642)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20642, _u20642, tc_HOL_Obool), _u20644))) )).
% 29.00/29.22 cnf(fact_symp__def-2, axiom, ( ~c_Relation_Osym(_u20643, hAPP(c_Set_OCollect(tc_prod(_u20643, _u20643)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20643, _u20643, tc_HOL_Obool), _u20645))) | c_Predicate_Osymp(_u20643, _u20645) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_part__equivp__refl__symp__transp ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_part__equivp__refl__symp__transp-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20650, _u20652) | hBOOL(hAPP(hAPP(_u20652, skolem567(_u20652, _u20650)), skolem567(_u20652, _u20650))) )).
% 29.00/29.22 cnf(fact_part__equivp__refl__symp__transp-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20650, _u20652) | c_Predicate_Osymp(_u20650, _u20652) )).
% 29.00/29.22 cnf(fact_part__equivp__refl__symp__transp-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20650, _u20652) | c_Predicate_Otransp(_u20650, _u20652) )).
% 29.00/29.22 cnf(fact_part__equivp__refl__symp__transp-4, axiom, ( ~hBOOL(hAPP(hAPP(_u20653, _u20647), _u20647)) | ~c_Predicate_Osymp(_u20651, _u20653) | ~c_Predicate_Otransp(_u20651, _u20653) | c_Equiv__Relations_Opart__equivp(_u20651, _u20653) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_part__equivpE ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_part__equivpE-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20655, _u20656) | hBOOL(hAPP(hAPP(_u20656, skolem568(_u20656, _u20655)), skolem568(_u20656, _u20655))) )).
% 29.00/29.22 cnf(fact_part__equivpE-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20655, _u20656) | c_Predicate_Osymp(_u20655, _u20656) )).
% 29.00/29.22 cnf(fact_part__equivpE-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20655, _u20656) | c_Predicate_Otransp(_u20655, _u20656) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_part__equivp__typedef ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_part__equivp__typedef-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20658, _u20659) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20658, tc_HOL_Obool)), skolem569(_u20659, _u20658)), hAPP(hAPP(c_COMBB(tc_fun(_u20658, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20658, tc_HOL_Obool)), c_HOL_OEx(_u20658)), hAPP(hAPP(c_COMBB(tc_fun(_u20658, tc_HOL_Obool), tc_fun(_u20658, tc_HOL_Obool), tc_fun(_u20658, tc_HOL_Obool)), hAPP(c_COMBS(_u20658, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20658), c_fconj), hAPP(hAPP(c_COMBS(_u20658, _u20658, tc_HOL_Obool), _u20659), c_COMBI(_u20658))))), hAPP(hAPP(c_COMBC(tc_fun(_u20658, tc_HOL_Obool), tc_fun(_u20658, tc_fun(_u20658, tc_HOL_Obool)), tc_fun(_u20658, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20658, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20658, tc_fun(_u20658, tc_HOL_Obool)), tc_fun(_u20658, tc_HOL_Obool)), tc_fun(_u20658, tc_HOL_Obool)), c_COMBB(tc_fun(_u20658, tc_HOL_Obool), tc_HOL_Obool, _u20658)), c_fequal)), _u20659))))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inj__iff ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inj__iff-1, axiom, ( ~c_Fun_Oinj__on(_u20663, _u20665, _u20667, c_Orderings_Otop__class_Otop(tc_fun(_u20663, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20665, _u20663, _u20663, c_Hilbert__Choice_Oinv__into(_u20663, _u20665, c_Orderings_Otop__class_Otop(tc_fun(_u20663, tc_HOL_Obool)), _u20667)), _u20667) = c_Fun_Oid(_u20663)) )).
% 29.00/29.22 cnf(fact_inj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20666, _u20664, _u20664, c_Hilbert__Choice_Oinv__into(_u20664, _u20666, c_Orderings_Otop__class_Otop(tc_fun(_u20664, tc_HOL_Obool)), _u20668)), _u20668) != c_Fun_Oid(_u20664)) | c_Fun_Oinj__on(_u20664, _u20666, _u20668, c_Orderings_Otop__class_Otop(tc_fun(_u20664, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__o__cancel ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20669, _u20670, _u20671, c_Orderings_Otop__class_Otop(tc_fun(_u20669, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20670, _u20669, _u20669, c_Hilbert__Choice_Oinv__into(_u20669, _u20670, c_Orderings_Otop__class_Otop(tc_fun(_u20669, tc_HOL_Obool)), _u20671)), _u20671) = c_Fun_Oid(_u20669)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_o__inv__o__cancel ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_o__inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20672, _u20673, _u20674, c_Orderings_Otop__class_Otop(tc_fun(_u20672, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20673, _u20675, _u20672, hAPP(c_Fun_Ocomp(_u20672, _u20675, _u20673, _u20676), c_Hilbert__Choice_Oinv__into(_u20672, _u20673, c_Orderings_Otop__class_Otop(tc_fun(_u20672, tc_HOL_Obool)), _u20674))), _u20674) = _u20676) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inj__on__inv__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20677, tc_HOL_Obool)), _u20678), hAPP(c_Set_Oimage(_u20679, _u20677, _u20680), _u20681))) | c_Fun_Oinj__on(_u20677, _u20679, c_Hilbert__Choice_Oinv__into(_u20679, _u20677, _u20681, _u20680), _u20678) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20682, _u20683, _u20684, _u20685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20682, tc_HOL_Obool)), _u20686), _u20685)) | ( hAPP(c_Set_Oimage(_u20683, _u20682, c_Hilbert__Choice_Oinv__into(_u20682, _u20683, _u20685, _u20684)), hAPP(c_Set_Oimage(_u20682, _u20683, _u20684), _u20686)) = _u20686) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inj__imp__surj__inv ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inj__imp__surj__inv-1, axiom, ( ~c_Fun_Oinj__on(_u20687, _u20688, _u20689, c_Orderings_Otop__class_Otop(tc_fun(_u20687, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20688, _u20687, c_Hilbert__Choice_Oinv__into(_u20687, _u20688, c_Orderings_Otop__class_Otop(tc_fun(_u20687, tc_HOL_Obool)), _u20689)), c_Orderings_Otop__class_Otop(tc_fun(_u20688, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20687, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_image__inv__f__f ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_image__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20690, _u20691, _u20692, c_Orderings_Otop__class_Otop(tc_fun(_u20690, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20691, _u20690, c_Hilbert__Choice_Oinv__into(_u20690, _u20691, c_Orderings_Otop__class_Otop(tc_fun(_u20690, tc_HOL_Obool)), _u20692)), hAPP(c_Set_Oimage(_u20690, _u20691, _u20692), _u20693)) = _u20693) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__image__comp ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__image__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20694, _u20695, _u20696, c_Orderings_Otop__class_Otop(tc_fun(_u20694, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20695, _u20694, c_Hilbert__Choice_Oinv__into(_u20694, _u20695, c_Orderings_Otop__class_Otop(tc_fun(_u20694, tc_HOL_Obool)), _u20696)), hAPP(c_Set_Oimage(_u20694, _u20695, _u20696), _u20697)) = _u20697) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_surj__imp__inj__inv ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_surj__imp__inj__inv-1, axiom, ( ( hAPP(c_Set_Oimage(_u20698, _u20699, _u20700), c_Orderings_Otop__class_Otop(tc_fun(_u20698, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20699, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20699, _u20698, c_Hilbert__Choice_Oinv__into(_u20698, _u20699, c_Orderings_Otop__class_Otop(tc_fun(_u20698, tc_HOL_Obool)), _u20700), c_Orderings_Otop__class_Otop(tc_fun(_u20699, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_image__inv__into__cancel-1, axiom, ( ( hAPP(c_Set_Oimage(_u20701, _u20702, _u20703), _u20704) != _u20705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20702, tc_HOL_Obool)), _u20706), _u20705)) | ( hAPP(c_Set_Oimage(_u20701, _u20702, _u20703), hAPP(c_Set_Oimage(_u20702, _u20701, c_Hilbert__Choice_Oinv__into(_u20701, _u20702, _u20704, _u20703)), _u20706)) = _u20706) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_surj__iff__all ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_surj__iff__all-1, axiom, ( ( hAPP(c_Set_Oimage(_u20712, _u20714, _u20716), c_Orderings_Otop__class_Otop(tc_fun(_u20712, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20714, tc_HOL_Obool))) | ( hAPP(_u20716, hAPP(c_Hilbert__Choice_Oinv__into(_u20712, _u20714, c_Orderings_Otop__class_Otop(tc_fun(_u20712, tc_HOL_Obool)), _u20716), _u20707)) = _u20707) )).
% 29.00/29.22 cnf(fact_surj__iff__all-2, axiom, ( ( hAPP(_u20717, hAPP(c_Hilbert__Choice_Oinv__into(_u20713, _u20715, c_Orderings_Otop__class_Otop(tc_fun(_u20713, tc_HOL_Obool)), _u20717), skolem570(_u20717, _u20715, _u20713))) != skolem570(_u20717, _u20715, _u20713)) | ( hAPP(c_Set_Oimage(_u20713, _u20715, _u20717), c_Orderings_Otop__class_Otop(tc_fun(_u20713, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20715, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_surj__f__inv__f ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u20718, _u20719, _u20720), c_Orderings_Otop__class_Otop(tc_fun(_u20718, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20719, tc_HOL_Obool))) | ( hAPP(_u20720, hAPP(c_Hilbert__Choice_Oinv__into(_u20718, _u20719, c_Orderings_Otop__class_Otop(tc_fun(_u20718, tc_HOL_Obool)), _u20720), _u20721)) = _u20721) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_image__surj__f__inv__f ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_image__surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u20722, _u20723, _u20724), c_Orderings_Otop__class_Otop(tc_fun(_u20722, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20723, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20722, _u20723, _u20724), hAPP(c_Set_Oimage(_u20723, _u20722, c_Hilbert__Choice_Oinv__into(_u20722, _u20723, c_Orderings_Otop__class_Otop(tc_fun(_u20722, tc_HOL_Obool)), _u20724)), _u20725)) = _u20725) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20726), _u20727), hAPP(c_Set_Oimage(_u20728, _u20726, _u20729), _u20730))) | ( hAPP(_u20729, hAPP(c_Hilbert__Choice_Oinv__into(_u20728, _u20726, _u20730, _u20729), _u20727)) = _u20727) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20731), _u20732), hAPP(c_Set_Oimage(_u20733, _u20731, _u20734), _u20735))) | hBOOL(hAPP(hAPP(c_member(_u20733), hAPP(c_Hilbert__Choice_Oinv__into(_u20733, _u20731, _u20735, _u20734), _u20732)), _u20735)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20736, _u20737, _u20738, _u20739), _u20740) != hAPP(c_Hilbert__Choice_Oinv__into(_u20736, _u20737, _u20738, _u20739), _u20741)) | ~hBOOL(hAPP(hAPP(c_member(_u20737), _u20740), hAPP(c_Set_Oimage(_u20736, _u20737, _u20739), _u20738))) | ~hBOOL(hAPP(hAPP(c_member(_u20737), _u20741), hAPP(c_Set_Oimage(_u20736, _u20737, _u20739), _u20738))) | ( _u20740 = _u20741) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__id ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__id-1, axiom, ( ( c_Hilbert__Choice_Oinv__into(_u20742, _u20742, c_Orderings_Otop__class_Otop(tc_fun(_u20742, tc_HOL_Obool)), c_Fun_Oid(_u20742)) = c_Fun_Oid(_u20742)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u20743, _u20744, _u20745, _u20746) | ~hBOOL(hAPP(hAPP(c_member(_u20743), _u20747), _u20746)) | ( hAPP(_u20745, _u20747) != _u20748) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20743, _u20744, _u20746, _u20745), _u20748) = _u20747) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20749, _u20750, _u20751, _u20752) | ~hBOOL(hAPP(hAPP(c_member(_u20749), _u20753), _u20752)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20749, _u20750, _u20752, _u20751), hAPP(_u20751, _u20753)) = _u20753) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__f__f ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20754, _u20755, _u20756, c_Orderings_Otop__class_Otop(tc_fun(_u20754, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20754, _u20755, c_Orderings_Otop__class_Otop(tc_fun(_u20754, tc_HOL_Obool)), _u20756), hAPP(_u20756, _u20757)) = _u20757) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__f__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u20758, _u20759, _u20760, c_Orderings_Otop__class_Otop(tc_fun(_u20758, tc_HOL_Obool))) | ( hAPP(_u20760, _u20761) != _u20762) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20758, _u20759, c_Orderings_Otop__class_Otop(tc_fun(_u20758, tc_HOL_Obool)), _u20760), _u20762) = _u20761) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__into__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__into__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20763, _u20764, _u20765, _u20766), _u20767) = c_Hilbert__Choice_OEps(_u20763, hAPP(hAPP(c_COMBS(_u20763, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20763), c_fconj), hAPP(hAPP(c_COMBC(_u20763, tc_fun(_u20763, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20763)), _u20765))), hAPP(hAPP(c_COMBC(_u20763, _u20764, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20764, tc_fun(_u20764, tc_HOL_Obool), _u20763), c_fequal), _u20766)), _u20767)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20768, _u20769, c_Orderings_Otop__class_Otop(tc_fun(_u20768, tc_HOL_Obool)), _u20770), _u20771) = c_Hilbert__Choice_OEps(_u20768, hAPP(hAPP(c_COMBC(_u20768, _u20769, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20769, tc_fun(_u20769, tc_HOL_Obool), _u20768), c_fequal), _u20770)), _u20771))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__into__comp ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20772, _u20773, _u20774, hAPP(c_Set_Oimage(_u20775, _u20772, _u20776), _u20777)) | ~c_Fun_Oinj__on(_u20775, _u20772, _u20776, _u20777) | ~hBOOL(hAPP(hAPP(c_member(_u20773), _u20778), hAPP(c_Set_Oimage(_u20772, _u20773, _u20774), hAPP(c_Set_Oimage(_u20775, _u20772, _u20776), _u20777)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20775, _u20773, _u20777, hAPP(c_Fun_Ocomp(_u20772, _u20773, _u20775, _u20774), _u20776)), _u20778) = hAPP(hAPP(c_Fun_Ocomp(_u20772, _u20775, _u20773, c_Hilbert__Choice_Oinv__into(_u20775, _u20772, _u20777, _u20776)), c_Hilbert__Choice_Oinv__into(_u20772, _u20773, hAPP(c_Set_Oimage(_u20775, _u20772, _u20776), _u20777), _u20774)), _u20778)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_surj__iff ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_surj__iff-1, axiom, ( ( hAPP(c_Set_Oimage(_u20782, _u20784, _u20786), c_Orderings_Otop__class_Otop(tc_fun(_u20782, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20784, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20782, _u20784, _u20784, _u20786), c_Hilbert__Choice_Oinv__into(_u20782, _u20784, c_Orderings_Otop__class_Otop(tc_fun(_u20782, tc_HOL_Obool)), _u20786)) = c_Fun_Oid(_u20784)) )).
% 29.00/29.22 cnf(fact_surj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20783, _u20785, _u20785, _u20787), c_Hilbert__Choice_Oinv__into(_u20783, _u20785, c_Orderings_Otop__class_Otop(tc_fun(_u20783, tc_HOL_Obool)), _u20787)) != c_Fun_Oid(_u20785)) | ( hAPP(c_Set_Oimage(_u20783, _u20785, _u20787), c_Orderings_Otop__class_Otop(tc_fun(_u20783, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20785, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inj__transfer ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inj__transfer-1, axiom, ( ~c_Fun_Oinj__on(_u20789, _u20790, _u20791, c_Orderings_Otop__class_Otop(tc_fun(_u20789, tc_HOL_Obool))) | hBOOL(hAPP(_u20792, _u20793)) | hBOOL(hAPP(hAPP(c_member(_u20790), skolem571(_u20793, _u20792, _u20791, _u20790, _u20789)), hAPP(c_Set_Oimage(_u20789, _u20790, _u20791), c_Orderings_Otop__class_Otop(tc_fun(_u20789, tc_HOL_Obool))))) )).
% 29.00/29.22 cnf(fact_inj__transfer-2, axiom, ( ~c_Fun_Oinj__on(_u20789, _u20790, _u20791, c_Orderings_Otop__class_Otop(tc_fun(_u20789, tc_HOL_Obool))) | hBOOL(hAPP(_u20792, _u20793)) | ~hBOOL(hAPP(_u20792, hAPP(c_Hilbert__Choice_Oinv__into(_u20789, _u20790, c_Orderings_Otop__class_Otop(tc_fun(_u20789, tc_HOL_Obool)), _u20791), skolem571(_u20793, _u20792, _u20791, _u20790, _u20789)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_fold__image__UN__disjoint ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_fold__image__UN__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) )).
% 29.00/29.22 cnf(fact_fold__image__UN__disjoint-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) )).
% 29.00/29.22 cnf(fact_fold__image__UN__disjoint-3, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | ( skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797) != skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)) )).
% 29.00/29.22 cnf(fact_fold__image__UN__disjoint-4, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20800, tc_HOL_Obool)), hAPP(_u20801, skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797))), hAPP(_u20801, skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797))) != c_Orderings_Obot__class_Obot(tc_fun(_u20800, tc_HOL_Obool))) )).
% 29.00/29.22 cnf(fact_fold__image__UN__disjoint-5, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20800), hAPP(_u20801, skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) )).
% 29.00/29.22 cnf(fact_fold__image__UN__disjoint-6, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20800), hAPP(_u20801, skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) )).
% 29.00/29.22 cnf(fact_fold__image__UN__disjoint-7, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20800), hAPP(_u20801, skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | ( skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797) != skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)) )).
% 29.00/29.22 cnf(fact_fold__image__UN__disjoint-8, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20800), hAPP(_u20801, skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20800, tc_HOL_Obool)), hAPP(_u20801, skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797))), hAPP(_u20801, skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797))) != c_Orderings_Obot__class_Obot(tc_fun(_u20800, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_nat__of__induct ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_nat__of__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20804), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20805, hAPP(c_Code__Numeral_Onat__of, skolem575(_u20805, _u20804)))) | hBOOL(hAPP(_u20805, _u20804)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_nat__of__cases ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_nat__of__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20807), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20807 = hAPP(c_Code__Numeral_Onat__of, skolem576(_u20807))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_of__nat__induct ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_of__nat__induct-1, axiom, ( hBOOL(hAPP(_u20809, _u20810)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem577(_u20810, _u20809)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(fact_of__nat__induct-2, axiom, ( hBOOL(hAPP(_u20809, _u20810)) | ~hBOOL(hAPP(_u20809, hAPP(c_Code__Numeral_Oof__nat, skolem577(_u20810, _u20809)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_of__nat__cases ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_of__nat__cases-1, axiom, ( ( _u20812 = hAPP(c_Code__Numeral_Oof__nat, skolem578(_u20812))) )).
% 29.00/29.22 cnf(fact_of__nat__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem578(_u20812)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Orecs_I1_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Orecs_I1_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20813, _u20814, _u20815, _u20816, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20814)) = _u20815) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20819), _u20821)) | ( c_Quickcheck_Obeyond(_u20819, _u20821) = _u20821) )).
% 29.00/29.22 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20820), _u20822)) | ( c_Quickcheck_Obeyond(_u20820, _u20822) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u20823, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_lazy__sequence_Orecs_I2_J ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_lazy__sequence_Orecs_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20824, _u20825, _u20826, _u20827, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20825, _u20828, _u20829)) = hAPP(hAPP(hAPP(_u20827, _u20828), _u20829), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20824, _u20825, _u20826, _u20827, _u20829))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__image__Collect__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__image__Collect__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20830, _u20831, _u20832, c_Orderings_Otop__class_Otop(tc_fun(_u20830, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20831, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20830, _u20831, _u20832), hAPP(c_Set_OCollect(_u20830), _u20833)) = hAPP(c_Set_OCollect(_u20831), hAPP(hAPP(c_COMBB(_u20830, tc_HOL_Obool, _u20831), _u20833), c_Hilbert__Choice_Oinv__into(_u20830, _u20831, c_Orderings_Otop__class_Otop(tc_fun(_u20830, tc_HOL_Obool)), _u20832)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20834, _u20835, _u20836, _u20837), _u20838), _u20839) = hAPP(_u20837, hAPP(hAPP(c_Product__Type_OPair(_u20834, _u20835), _u20838), _u20839))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_curryI ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u20840, hAPP(hAPP(c_Product__Type_OPair(_u20841, _u20842), _u20843), _u20844))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20841, _u20842, tc_HOL_Obool, _u20840), _u20843), _u20844)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__id ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__id-1, axiom, ( c_Fun_Obij__betw(_u20845, _u20845, c_Fun_Oid(_u20845), _u20846, _u20846) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_o__inv__distrib ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_o__inv__distrib-1, axiom, ( ~c_Fun_Obij__betw(_u20847, _u20848, _u20849, c_Orderings_Otop__class_Otop(tc_fun(_u20847, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20848, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20850, _u20847, _u20851, c_Orderings_Otop__class_Otop(tc_fun(_u20850, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20847, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20850, _u20848, c_Orderings_Otop__class_Otop(tc_fun(_u20850, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20847, _u20848, _u20850, _u20849), _u20851)) = hAPP(c_Fun_Ocomp(_u20847, _u20850, _u20848, c_Hilbert__Choice_Oinv__into(_u20850, _u20847, c_Orderings_Otop__class_Otop(tc_fun(_u20850, tc_HOL_Obool)), _u20851)), c_Hilbert__Choice_Oinv__into(_u20847, _u20848, c_Orderings_Otop__class_Otop(tc_fun(_u20847, tc_HOL_Obool)), _u20849))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__into__inv__into__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__into__inv__into__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20852, _u20853, _u20854, _u20855, _u20856) | ~hBOOL(hAPP(hAPP(c_member(_u20852), _u20857), _u20855)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20853, _u20852, _u20856, c_Hilbert__Choice_Oinv__into(_u20852, _u20853, _u20855, _u20854)), _u20857) = hAPP(_u20854, _u20857)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__inv__into ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20858, _u20859, _u20860, _u20861, _u20862) | c_Fun_Obij__betw(_u20859, _u20858, c_Hilbert__Choice_Oinv__into(_u20858, _u20859, _u20861, _u20860), _u20862, _u20861) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_inv__inv__eq ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_inv__inv__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20863, _u20864, _u20865, c_Orderings_Otop__class_Otop(tc_fun(_u20863, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20864, _u20863, c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20863, _u20864, c_Orderings_Otop__class_Otop(tc_fun(_u20863, tc_HOL_Obool)), _u20865)) = _u20865) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__imp__bij__inv ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__imp__bij__inv-1, axiom, ( ~c_Fun_Obij__betw(_u20866, _u20867, _u20868, c_Orderings_Otop__class_Otop(tc_fun(_u20866, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20867, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20867, _u20866, c_Hilbert__Choice_Oinv__into(_u20866, _u20867, c_Orderings_Otop__class_Otop(tc_fun(_u20866, tc_HOL_Obool)), _u20868), c_Orderings_Otop__class_Otop(tc_fun(_u20867, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20866, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20869, _u20870, _u20871), c_Product__Type_Ocurry(_u20869, _u20870, _u20871, _u20872)) = _u20872) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u20873, _u20874, _u20875, hAPP(c_Product__Type_Oprod_Oprod__case(_u20873, _u20874, _u20875), _u20876)) = _u20876) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__Disj__Un ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__Disj__Un-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20877, tc_HOL_Obool)), _u20878), _u20879) != c_Orderings_Obot__class_Obot(tc_fun(_u20877, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20880, tc_HOL_Obool)), _u20881), _u20882) != c_Orderings_Obot__class_Obot(tc_fun(_u20880, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20877, _u20880, _u20883, _u20878, _u20881) | ~c_Fun_Obij__betw(_u20877, _u20880, _u20883, _u20879, _u20882) | c_Fun_Obij__betw(_u20877, _u20880, _u20883, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20877, tc_HOL_Obool)), _u20878), _u20879), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20880, tc_HOL_Obool)), _u20881), _u20882)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__combine ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__combine-1, axiom, ( ~c_Fun_Obij__betw(_u20884, _u20885, _u20886, _u20887, _u20888) | ~c_Fun_Obij__betw(_u20884, _u20885, _u20886, _u20889, _u20890) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20885, tc_HOL_Obool)), _u20888), _u20890) != c_Orderings_Obot__class_Obot(tc_fun(_u20885, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20884, _u20885, _u20886, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20884, tc_HOL_Obool)), _u20887), _u20889), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20885, tc_HOL_Obool)), _u20888), _u20890)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__imp__inj__on ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__imp__inj__on-1, axiom, ( ~c_Fun_Obij__betw(_u20891, _u20892, _u20893, _u20894, _u20895) | c_Fun_Oinj__on(_u20891, _u20892, _u20893, _u20894) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__is__inj ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__is__inj-1, axiom, ( ~c_Fun_Obij__betw(_u20896, _u20897, _u20898, c_Orderings_Otop__class_Otop(tc_fun(_u20896, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20897, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20896, _u20897, _u20898, c_Orderings_Otop__class_Otop(tc_fun(_u20896, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__id__iff ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__id__iff-1, axiom, ( ( _u20904 = _u20906) | ~c_Fun_Obij__betw(_u20902, _u20902, c_Fun_Oid(_u20902), _u20904, _u20906) )).
% 29.00/29.22 cnf(fact_bij__betw__id__iff-2, axiom, ( ( _u20905 != _u20907) | c_Fun_Obij__betw(_u20903, _u20903, c_Fun_Oid(_u20903), _u20905, _u20907) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__id ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__id-1, axiom, ( c_Fun_Obij__betw(_u20908, _u20908, c_Fun_Oid(_u20908), c_Orderings_Otop__class_Otop(tc_fun(_u20908, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20908, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__empty1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__empty1-1, axiom, ( ( _u20912 = c_Orderings_Obot__class_Obot(tc_fun(_u20910, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20909, _u20910, _u20911, c_Orderings_Obot__class_Obot(tc_fun(_u20909, tc_HOL_Obool)), _u20912) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__empty2 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__empty2-1, axiom, ( ~c_Fun_Obij__betw(_u20913, _u20914, _u20915, _u20916, c_Orderings_Obot__class_Obot(tc_fun(_u20914, tc_HOL_Obool))) | ( _u20916 = c_Orderings_Obot__class_Obot(tc_fun(_u20913, tc_HOL_Obool))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__same__card ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__same__card-1, axiom, ( ~c_Fun_Obij__betw(_u20917, _u20918, _u20919, _u20920, _u20921) | ( hAPP(c_Finite__Set_Ocard(_u20917), _u20920) = hAPP(c_Finite__Set_Ocard(_u20918), _u20921)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_bij__betw__the__inv__into ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_bij__betw__the__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20922, _u20923, _u20924, _u20925, _u20926) | c_Fun_Obij__betw(_u20923, _u20922, c_Fun_Othe__inv__into(_u20922, _u20923, _u20925, _u20924), _u20926, _u20925) )).
% 29.00/29.22
% 29.00/29.22 % Formula: fact_BIJ ( axiom ) converted to clauses:
% 29.00/29.22 cnf(fact_BIJ-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20929), _u20930)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20931), _u20932)) | ~c_Fun_Obij__betw(_u20929, _u20931, _u20927, _u20930, _u20932) | ( hAPP(c_Finite__Set_Ocard(_u20929), _u20930) = hAPP(c_Finite__Set_Ocard(_u20931), _u20932)) )).
% 29.00/29.22 cnf(fact_BIJ-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20929), _u20930)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20931), _u20932)) | ( hAPP(c_Finite__Set_Ocard(_u20929), _u20930) != hAPP(c_Finite__Set_Ocard(_u20931), _u20932)) | c_Fun_Obij__betw(_u20929, _u20931, skolem579(_u20932, _u20931, _u20930, _u20929), _u20930, _u20932) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20933) | class_Lattices_Obounded__lattice(tc_fun(_u20934, _u20933)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20935) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20936, _u20935)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20937) | class_Lattices_Obounded__lattice__top(tc_fun(_u20938, _u20937)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20939) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20940, _u20939)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20941) | class_Lattices_Osemilattice__sup(tc_fun(_u20942, _u20941)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20943) | class_Lattices_Osemilattice__inf(tc_fun(_u20944, _u20943)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20945) | class_Lattices_Odistrib__lattice(tc_fun(_u20946, _u20945)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20947) | class_Lattices_Oboolean__algebra(tc_fun(_u20948, _u20947)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20949) | class_Orderings_Opreorder(tc_fun(_u20950, _u20949)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20951) | ~class_Finite__Set_Ofinite(_u20952) | class_Finite__Set_Ofinite(tc_fun(_u20951, _u20952)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20953) | class_Lattices_Olattice(tc_fun(_u20954, _u20953)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20955) | class_Orderings_Oorder(tc_fun(_u20956, _u20955)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20957) | class_Orderings_Otop(tc_fun(_u20958, _u20957)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20959) | class_Orderings_Oord(tc_fun(_u20960, _u20959)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20961) | class_Orderings_Obot(tc_fun(_u20962, _u20961)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20963) | class_Groups_Ouminus(tc_fun(_u20964, _u20963)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20965) | class_Groups_Ominus(tc_fun(_u20966, _u20965)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20967) | ~class_Enum_Oenum(_u20968) | class_Enum_Oenum(tc_fun(_u20967, _u20968)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Com__Ocom__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Com__Ocom__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ocom) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Com__Ostate__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Com__Ostate__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ostate) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Com__Ovname__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Com__Ovname__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ovname) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_List__Olist__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_List__Olist__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20969) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20969)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u20970)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20971) | ~class_Finite__Set_Ofinite(_u20972) | class_Finite__Set_Ofinite(tc_sum(_u20971, _u20972)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20973) | ~class_Enum_Oenum(_u20974) | class_Enum_Oenum(tc_sum(_u20973, _u20974)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u20975, _u20976)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20977) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20977)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20978) | class_Enum_Oenum(tc_Option_Ooption(_u20978)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u20979)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Nitpick__Opair____box__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Nitpick__Opair____box__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20980, _u20981)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_prod__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_prod__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20982) | ~class_Lazy__Sequence_Osmall__lazy(_u20983) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20982, _u20983)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20984) | ~class_Finite__Set_Ofinite(_u20985) | class_Finite__Set_Ofinite(tc_prod(_u20984, _u20985)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20986) | ~class_Enum_Oenum(_u20987) | class_Enum_Oenum(tc_prod(_u20986, _u20987)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u20988, _u20989)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20990)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 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) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 29.00/29.22 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) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.22
% 29.00/29.22 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 29.00/29.22 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20991)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20992), _u20993) = _u20993) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20994, _u20995), _u20996), _u20997) = _u20996) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20998, _u20999, _u21000), _u21001), _u21002), _u21003) = hAPP(_u21001, hAPP(_u21002, _u21003))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u21004, _u21005, _u21006), _u21007), _u21008), _u21009) = hAPP(hAPP(_u21007, _u21009), _u21008)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u21010, _u21011, _u21012), _u21013), _u21014), _u21015) = hAPP(hAPP(_u21013, _u21015), hAPP(_u21014, _u21015))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u21016), _u21017)) | ( _u21016 = _u21017) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fequal__2-1, axiom, ( ( _u21018 != _u21019) | hBOOL(hAPP(hAPP(c_fequal, _u21018), _u21019)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u21020)) | ~hBOOL(_u21020) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u21021) | hBOOL(hAPP(c_fNot, _u21021)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u21023) | ~hBOOL(_u21022) | hBOOL(hAPP(hAPP(c_fconj, _u21022), _u21023)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u21024), _u21025)) | hBOOL(_u21024) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u21027) | ~hBOOL(hAPP(hAPP(c_fconj, _u21026), _u21027)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u21028) | hBOOL(hAPP(hAPP(c_fdisj, _u21028), _u21029)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u21030) | hBOOL(hAPP(hAPP(c_fdisj, _u21031), _u21030)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u21033) | ~hBOOL(hAPP(hAPP(c_fdisj, _u21032), _u21033)) | hBOOL(_u21032) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u21034) | hBOOL(hAPP(hAPP(c_fimplies, _u21034), _u21035)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u21036) | hBOOL(hAPP(hAPP(c_fimplies, _u21037), _u21036)) )).
% 29.00/29.22
% 29.00/29.22 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 29.00/29.22 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u21039) | ~hBOOL(hAPP(hAPP(c_fimplies, _u21038), _u21039)) | ~hBOOL(_u21038) )).
% 29.00/29.22
% 29.00/29.22 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 29.00/29.22 cnf(conj_0-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 29.00/29.22
% 29.00/29.22 % Formula: conj_1 ( conjecture ) (definitionally) converted to clauses:
% 29.00/29.22 cnf(conj_1-1, negated_conjecture, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 29.00/29.22
% 29.00/29.22 % Problem matrix:
% 29.00/29.22 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 29.00/29.22 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 29.00/29.22 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 29.00/29.22 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Othe(__eqx_0) = c_Option_Othe(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-10, 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)) )).
% 29.00/29.22 cnf(matrix-11, 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)) )).
% 29.00/29.22 cnf(matrix-12, 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)) )).
% 29.00/29.22 cnf(matrix-13, 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)) )).
% 29.00/29.22 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( c_Natural_Oevalc(__eqx_0) = c_Natural_Oevalc(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-16, 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)) )).
% 29.00/29.22 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_Ocom__size(__eqx_0) = c_Com_Ocom_Ocom__size(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-19, 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)) )).
% 29.00/29.22 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OCall(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OCall(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OAss(__eqx_0, __eqx_1) = c_Com_Ocom_OAss(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-24, 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)) )).
% 29.00/29.22 cnf(matrix-25, 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)) )).
% 29.00/29.22 cnf(matrix-26, 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)) )).
% 29.00/29.22 cnf(matrix-27, 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)) )).
% 29.00/29.22 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-30, 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)) )).
% 29.00/29.22 cnf(matrix-31, 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)) )).
% 29.00/29.22 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-37, 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)) )).
% 29.00/29.22 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-41, 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)) )).
% 29.00/29.22 cnf(matrix-42, 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)) )).
% 29.00/29.22 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-45, 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)) )).
% 29.00/29.22 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-51, 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)) )).
% 29.00/29.22 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-60, 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)) )).
% 29.00/29.22 cnf(matrix-61, 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)) )).
% 29.00/29.22 cnf(matrix-62, 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)) )).
% 29.00/29.22 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-64, 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)) )).
% 29.00/29.22 cnf(matrix-65, 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)) )).
% 29.00/29.22 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oint__lcm(__eqx_0, __eqx_1) = c_Nitpick_Oint__lcm(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__lcm(__eqx_0, __eqx_1) = c_Nitpick_Onat__lcm(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__gcd(__eqx_0, __eqx_1) = c_Nitpick_Onat__gcd(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-70, 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)) )).
% 29.00/29.22 cnf(matrix-71, 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)) )).
% 29.00/29.22 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-73, 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)) )).
% 29.00/29.22 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-76, 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)) )).
% 29.00/29.22 cnf(matrix-77, 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)) )).
% 29.00/29.22 cnf(matrix-78, 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)) )).
% 29.00/29.22 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-80, 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)) )).
% 29.00/29.22 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-83, 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)) )).
% 29.00/29.22 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-85, 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)) )).
% 29.00/29.22 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-87, 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)) )).
% 29.00/29.22 cnf(matrix-88, 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)) )).
% 29.00/29.22 cnf(matrix-89, 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)) )).
% 29.00/29.22 cnf(matrix-90, 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)) )).
% 29.00/29.22 cnf(matrix-91, 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)) )).
% 29.00/29.22 cnf(matrix-92, 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)) )).
% 29.00/29.22 cnf(matrix-93, 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)) )).
% 29.00/29.22 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OMGT(__eqx_0) = c_Hoare__Mirabelle_OMGT(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-96, 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)) )).
% 29.00/29.22 cnf(matrix-97, 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)) )).
% 29.00/29.22 cnf(matrix-98, 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)) )).
% 29.00/29.22 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-100, 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)) )).
% 29.00/29.22 cnf(matrix-101, 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)) )).
% 29.00/29.22 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-103, 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)) )).
% 29.00/29.22 cnf(matrix-104, 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)) )).
% 29.00/29.22 cnf(matrix-105, 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)) )).
% 29.00/29.22 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-108, 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)) )).
% 29.00/29.22 cnf(matrix-109, 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)) )).
% 29.00/29.22 cnf(matrix-110, 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)) )).
% 29.00/29.22 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-112, 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)) )).
% 29.00/29.22 cnf(matrix-113, 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)) )).
% 29.00/29.22 cnf(matrix-114, 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)) )).
% 29.00/29.22 cnf(matrix-115, 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)) )).
% 29.00/29.22 cnf(matrix-116, 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)) )).
% 29.00/29.22 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-118, 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)) )).
% 29.00/29.22 cnf(matrix-119, 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)) )).
% 29.00/29.22 cnf(matrix-120, 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)) )).
% 29.00/29.22 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-123, 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)) )).
% 29.00/29.22 cnf(matrix-124, 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)) )).
% 29.00/29.22 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-131, 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)) )).
% 29.00/29.22 cnf(matrix-132, 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)) )).
% 29.00/29.22 cnf(matrix-133, 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)) )).
% 29.00/29.22 cnf(matrix-134, 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)) )).
% 29.00/29.22 cnf(matrix-135, 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)) )).
% 29.00/29.22 cnf(matrix-136, 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)) )).
% 29.00/29.22 cnf(matrix-137, 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)) )).
% 29.00/29.22 cnf(matrix-138, 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)) )).
% 29.00/29.22 cnf(matrix-139, 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)) )).
% 29.00/29.22 cnf(matrix-140, 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)) )).
% 29.00/29.22 cnf(matrix-141, 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)) )).
% 29.00/29.22 cnf(matrix-142, 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)) )).
% 29.00/29.22 cnf(matrix-143, 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)) )).
% 29.00/29.22 cnf(matrix-144, 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)) )).
% 29.00/29.22 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-147, 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)) )).
% 29.00/29.22 cnf(matrix-148, 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)) )).
% 29.00/29.22 cnf(matrix-149, 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)) )).
% 29.00/29.22 cnf(matrix-150, 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)) )).
% 29.00/29.22 cnf(matrix-151, 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)) )).
% 29.00/29.22 cnf(matrix-152, 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)) )).
% 29.00/29.22 cnf(matrix-153, 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)) )).
% 29.00/29.22 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-155, 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)) )).
% 29.00/29.22 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-157, 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)) )).
% 29.00/29.22 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-159, 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)) )).
% 29.00/29.22 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-161, 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)) )).
% 29.00/29.22 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-164, 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)) )).
% 29.00/29.22 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-166, 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)) )).
% 29.00/29.22 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-168, 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)) )).
% 29.00/29.22 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 29.00/29.22 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)) )).
% 29.00/29.22 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-173, 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)) )).
% 29.00/29.22 cnf(matrix-174, 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)) )).
% 29.00/29.22 cnf(matrix-175, 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)) )).
% 29.00/29.22 cnf(matrix-176, 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)) )).
% 29.00/29.22 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)) )).
% 29.00/29.22 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-180, 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)) )).
% 29.00/29.22 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-185, 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)) )).
% 29.00/29.22 cnf(matrix-186, 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)) )).
% 29.00/29.22 cnf(matrix-187, 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)) )).
% 29.00/29.22 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-191, 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)) )).
% 29.00/29.22 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-196, 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)) )).
% 29.00/29.22 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-198, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-199, 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)) )).
% 29.00/29.22 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-201, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-202, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-203, 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)) )).
% 29.00/29.22 cnf(matrix-204, 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)) )).
% 29.00/29.22 cnf(matrix-205, 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)) )).
% 29.00/29.22 cnf(matrix-206, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-207, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-209, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-211, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-213, 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)) )).
% 29.00/29.22 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-215, 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)) )).
% 29.00/29.22 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-218, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-219, 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)) )).
% 29.00/29.22 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-225, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-226, 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)) )).
% 29.00/29.22 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-229, 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)) )).
% 29.00/29.22 cnf(matrix-230, 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)) )).
% 29.00/29.22 cnf(matrix-231, 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)) )).
% 29.00/29.22 cnf(matrix-232, 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)) )).
% 29.00/29.22 cnf(matrix-233, 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)) )).
% 29.00/29.22 cnf(matrix-234, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-236, 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)) )).
% 29.00/29.22 cnf(matrix-237, 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)) )).
% 29.00/29.22 cnf(matrix-238, 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)) )).
% 29.00/29.22 cnf(matrix-239, 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)) )).
% 29.00/29.22 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 29.00/29.22 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)) )).
% 29.00/29.22 cnf(matrix-242, 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)) )).
% 29.00/29.22 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-244, 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)) )).
% 29.00/29.22 cnf(matrix-245, 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)) )).
% 29.00/29.22 cnf(matrix-246, 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)) )).
% 29.00/29.22 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-248, 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)) )).
% 29.00/29.22 cnf(matrix-249, 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)) )).
% 29.00/29.22 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-251, 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)) )).
% 29.00/29.22 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-256, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-257, 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)) )).
% 29.00/29.22 cnf(matrix-258, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-260, 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)) )).
% 29.00/29.22 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-263, 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)) )).
% 29.00/29.22 cnf(matrix-264, 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)) )).
% 29.00/29.22 cnf(matrix-265, 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)) )).
% 29.00/29.22 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-267, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-268, 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)) )).
% 29.00/29.22 cnf(matrix-269, 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)) )).
% 29.00/29.22 cnf(matrix-270, 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)) )).
% 29.00/29.22 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-273, 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)) )).
% 29.00/29.22 cnf(matrix-274, 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)) )).
% 29.00/29.22 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-277, 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)) )).
% 29.00/29.22 cnf(matrix-278, 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)) )).
% 29.00/29.22 cnf(matrix-279, 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)) )).
% 29.00/29.22 cnf(matrix-280, 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)) )).
% 29.00/29.22 cnf(matrix-281, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-282, 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)) )).
% 29.00/29.22 cnf(matrix-283, 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)) )).
% 29.00/29.22 cnf(matrix-284, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-286, 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)) )).
% 29.00/29.22 cnf(matrix-287, 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)) )).
% 29.00/29.22 cnf(matrix-288, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-289, 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)) )).
% 29.00/29.22 cnf(matrix-290, 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)) )).
% 29.00/29.22 cnf(matrix-291, 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)) )).
% 29.00/29.22 cnf(matrix-292, 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)) )).
% 29.00/29.22 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-294, 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)) )).
% 29.00/29.22 cnf(matrix-295, 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)) )).
% 29.00/29.22 cnf(matrix-296, 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)) )).
% 29.00/29.22 cnf(matrix-297, 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)) )).
% 29.00/29.22 cnf(matrix-298, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-299, 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)) )).
% 29.00/29.22 cnf(matrix-300, 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)) )).
% 29.00/29.22 cnf(matrix-301, 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)) )).
% 29.00/29.22 cnf(matrix-302, 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)) )).
% 29.00/29.22 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-304, 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)) )).
% 29.00/29.22 cnf(matrix-305, 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)) )).
% 29.00/29.22 cnf(matrix-306, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Osingle(__eqx_0) = c_Lazy__Sequence_Osingle(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-307, 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)) )).
% 29.00/29.22 cnf(matrix-308, 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)) )).
% 29.00/29.22 cnf(matrix-309, 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)) )).
% 29.00/29.22 cnf(matrix-310, 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)) )).
% 29.00/29.22 cnf(matrix-311, 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)) )).
% 29.00/29.22 cnf(matrix-312, 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)) )).
% 29.00/29.22 cnf(matrix-313, 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)) )).
% 29.00/29.22 cnf(matrix-314, 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)) )).
% 29.00/29.22 cnf(matrix-315, 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)) )).
% 29.00/29.22 cnf(matrix-316, 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)) )).
% 29.00/29.22 cnf(matrix-317, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-318, 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)) )).
% 29.00/29.22 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omember(__eqx_0) = c_List_Omember(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-321, 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)) )).
% 29.00/29.22 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqx_0) = c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-323, 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)) )).
% 29.00/29.22 cnf(matrix-324, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-325, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-327, 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)) )).
% 29.00/29.22 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-329, 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)) )).
% 29.00/29.22 cnf(matrix-330, 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)) )).
% 29.00/29.22 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBex(__eqx_0) = c_Set_OBex(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-332, 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)) )).
% 29.00/29.22 cnf(matrix-333, 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)) )).
% 29.00/29.22 cnf(matrix-334, 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)) )).
% 29.00/29.22 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-336, 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)) )).
% 29.00/29.22 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-338, 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) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-339, 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) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-341, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem5(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem5(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 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) | ( __eqx_6 != __eqy_6) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 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) | ( __eqx_6 != __eqy_6) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-347, 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) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem13(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem13(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-350, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem14(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem14(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-351, 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)) )).
% 29.00/29.22 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem16(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem16(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem17(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem17(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-354, 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)) )).
% 29.00/29.22 cnf(matrix-355, plain, ( ( __eqx_0 != __eqy_0) | ( skolem19(__eqx_0) = skolem19(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-356, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem20(__eqx_0, __eqx_1) = skolem20(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem21(__eqx_0, __eqx_1) = skolem21(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( skolem22(__eqx_0) = skolem22(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem23(__eqx_0, __eqx_1) = skolem23(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem24(__eqx_0, __eqx_1) = skolem24(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( skolem25(__eqx_0) = skolem25(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem26(__eqx_0, __eqx_1) = skolem26(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem27(__eqx_0, __eqx_1) = skolem27(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( skolem28(__eqx_0) = skolem28(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem30(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem30(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem31(__eqx_0, __eqx_1) = skolem31(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-368, 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)) )).
% 29.00/29.22 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem33(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem33(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem34(__eqx_0, __eqx_1, __eqx_2) = skolem34(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( skolem36(__eqx_0) = skolem36(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem37(__eqx_0, __eqx_1) = skolem37(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( skolem38(__eqx_0) = skolem38(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem39(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem39(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( skolem40(__eqx_0) = skolem40(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( skolem41(__eqx_0) = skolem41(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( skolem42(__eqx_0) = skolem42(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( skolem43(__eqx_0) = skolem43(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( skolem44(__eqx_0) = skolem44(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( skolem45(__eqx_0) = skolem45(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( skolem46(__eqx_0) = skolem46(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( skolem47(__eqx_0) = skolem47(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem48(__eqx_0, __eqx_1) = skolem48(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem49(__eqx_0, __eqx_1) = skolem49(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem50(__eqx_0, __eqx_1) = skolem50(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem51(__eqx_0, __eqx_1) = skolem51(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem52(__eqx_0, __eqx_1, __eqx_2) = skolem52(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem53(__eqx_0, __eqx_1, __eqx_2) = skolem53(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-390, 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)) )).
% 29.00/29.22 cnf(matrix-391, 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)) )).
% 29.00/29.22 cnf(matrix-392, 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)) )).
% 29.00/29.22 cnf(matrix-393, 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)) )).
% 29.00/29.22 cnf(matrix-394, 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)) )).
% 29.00/29.22 cnf(matrix-395, 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)) )).
% 29.00/29.22 cnf(matrix-396, 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)) )).
% 29.00/29.22 cnf(matrix-397, 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)) )).
% 29.00/29.22 cnf(matrix-398, 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)) )).
% 29.00/29.22 cnf(matrix-399, 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)) )).
% 29.00/29.22 cnf(matrix-400, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem64(__eqx_0, __eqx_1, __eqx_2) = skolem64(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem65(__eqx_0, __eqx_1) = skolem65(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem66(__eqx_0, __eqx_1, __eqx_2) = skolem66(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-403, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem67(__eqx_0, __eqx_1, __eqx_2) = skolem67(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-404, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem68(__eqx_0, __eqx_1, __eqx_2) = skolem68(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-405, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem69(__eqx_0, __eqx_1, __eqx_2) = skolem69(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-406, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem70(__eqx_0, __eqx_1, __eqx_2) = skolem70(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem71(__eqx_0, __eqx_1, __eqx_2) = skolem71(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-408, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem72(__eqx_0, __eqx_1, __eqx_2) = skolem72(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-409, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem73(__eqx_0, __eqx_1, __eqx_2) = skolem73(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem74(__eqx_0, __eqx_1, __eqx_2) = skolem74(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem75(__eqx_0, __eqx_1, __eqx_2) = skolem75(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-412, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem76(__eqx_0, __eqx_1, __eqx_2) = skolem76(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem77(__eqx_0, __eqx_1, __eqx_2) = skolem77(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem78(__eqx_0, __eqx_1, __eqx_2) = skolem78(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-415, 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)) )).
% 29.00/29.22 cnf(matrix-416, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem80(__eqx_0, __eqx_1, __eqx_2) = skolem80(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-417, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem81(__eqx_0, __eqx_1, __eqx_2) = skolem81(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem82(__eqx_0, __eqx_1) = skolem82(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem83(__eqx_0, __eqx_1) = skolem83(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-420, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem84(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem84(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem85(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem85(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-422, 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) | ( skolem86(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem86(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-423, 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) | ( skolem87(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem87(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem88(__eqx_0, __eqx_1) = skolem88(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-425, 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)) )).
% 29.00/29.22 cnf(matrix-426, 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)) )).
% 29.00/29.22 cnf(matrix-427, 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)) )).
% 29.00/29.22 cnf(matrix-428, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem92(__eqx_0, __eqx_1, __eqx_2) = skolem92(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-429, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem93(__eqx_0, __eqx_1, __eqx_2) = skolem93(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem94(__eqx_0, __eqx_1, __eqx_2) = skolem94(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem95(__eqx_0, __eqx_1, __eqx_2) = skolem95(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem96(__eqx_0, __eqx_1, __eqx_2) = skolem96(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem97(__eqx_0, __eqx_1, __eqx_2) = skolem97(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-434, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem98(__eqx_0, __eqx_1, __eqx_2) = skolem98(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem99(__eqx_0, __eqx_1, __eqx_2) = skolem99(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem100(__eqx_0, __eqx_1, __eqx_2) = skolem100(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem101(__eqx_0, __eqx_1, __eqx_2) = skolem101(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-438, 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)) )).
% 29.00/29.22 cnf(matrix-439, 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)) )).
% 29.00/29.22 cnf(matrix-440, 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)) )).
% 29.00/29.22 cnf(matrix-441, 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)) )).
% 29.00/29.22 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem106(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem106(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem107(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem107(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-444, 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)) )).
% 29.00/29.22 cnf(matrix-445, 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)) )).
% 29.00/29.22 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem110(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem110(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem111(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem111(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem112(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem112(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-449, 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)) )).
% 29.00/29.22 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem114(__eqx_0, __eqx_1) = skolem114(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem115(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem115(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem116(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem116(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem117(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem117(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( skolem118(__eqx_0) = skolem118(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( skolem119(__eqx_0) = skolem119(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-456, 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)) )).
% 29.00/29.22 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( skolem121(__eqx_0) = skolem121(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem122(__eqx_0, __eqx_1, __eqx_2) = skolem122(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem123(__eqx_0, __eqx_1, __eqx_2) = skolem123(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-460, 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)) )).
% 29.00/29.22 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( skolem125(__eqx_0) = skolem125(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem126(__eqx_0, __eqx_1) = skolem126(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( skolem127(__eqx_0) = skolem127(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem128(__eqx_0, __eqx_1) = skolem128(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-465, 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)) )).
% 29.00/29.22 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem130(__eqx_0, __eqx_1, __eqx_2) = skolem130(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem131(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem131(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem132(__eqx_0, __eqx_1) = skolem132(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem133(__eqx_0, __eqx_1) = skolem133(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem134(__eqx_0, __eqx_1) = skolem134(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem135(__eqx_0, __eqx_1) = skolem135(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-472, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem136(__eqx_0, __eqx_1) = skolem136(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem137(__eqx_0, __eqx_1) = skolem137(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem138(__eqx_0, __eqx_1) = skolem138(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem139(__eqx_0, __eqx_1) = skolem139(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem140(__eqx_0, __eqx_1) = skolem140(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem141(__eqx_0, __eqx_1) = skolem141(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem142(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem142(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem143(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem143(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem144(__eqx_0, __eqx_1) = skolem144(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem145(__eqx_0, __eqx_1) = skolem145(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem146(__eqx_0, __eqx_1, __eqx_2) = skolem146(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-483, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem147(__eqx_0, __eqx_1, __eqx_2) = skolem147(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem148(__eqx_0, __eqx_1, __eqx_2) = skolem148(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem149(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem149(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem150(__eqx_0, __eqx_1, __eqx_2) = skolem150(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-487, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem151(__eqx_0, __eqx_1, __eqx_2) = skolem151(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem152(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem152(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem153(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem153(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem154(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem154(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-491, 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)) )).
% 29.00/29.22 cnf(matrix-492, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem156(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem156(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-493, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem157(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem157(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem158(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem158(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem159(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem159(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem160(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem160(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-497, 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)) )).
% 29.00/29.22 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem162(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem162(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem163(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem163(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem164(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem164(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem165(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem165(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem166(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem166(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-503, 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) | ( skolem167(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem167(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-504, 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) | ( skolem168(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem168(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-505, 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) | ( skolem169(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem169(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 29.00/29.22 cnf(matrix-506, 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) | ( skolem170(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem170(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 29.00/29.22 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) | ( __eqx_6 != __eqy_6) | ( skolem171(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem171(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem172(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem172(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-509, 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) | ( skolem173(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem173(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem174(__eqx_0, __eqx_1, __eqx_2) = skolem174(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem175(__eqx_0, __eqx_1, __eqx_2) = skolem175(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem176(__eqx_0, __eqx_1, __eqx_2) = skolem176(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-513, 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)) )).
% 29.00/29.22 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem178(__eqx_0, __eqx_1, __eqx_2) = skolem178(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem179(__eqx_0, __eqx_1, __eqx_2) = skolem179(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem180(__eqx_0, __eqx_1, __eqx_2) = skolem180(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem181(__eqx_0, __eqx_1, __eqx_2) = skolem181(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem182(__eqx_0, __eqx_1, __eqx_2) = skolem182(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-519, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem183(__eqx_0, __eqx_1, __eqx_2) = skolem183(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem184(__eqx_0, __eqx_1, __eqx_2) = skolem184(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem185(__eqx_0, __eqx_1, __eqx_2) = skolem185(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem186(__eqx_0, __eqx_1, __eqx_2) = skolem186(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem187(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem187(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem188(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem188(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-525, 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)) )).
% 29.00/29.22 cnf(matrix-526, 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)) )).
% 29.00/29.22 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem191(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem191(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem192(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem192(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-529, 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)) )).
% 29.00/29.22 cnf(matrix-530, 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)) )).
% 29.00/29.22 cnf(matrix-531, 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)) )).
% 29.00/29.22 cnf(matrix-532, 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)) )).
% 29.00/29.22 cnf(matrix-533, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem197(__eqx_0, __eqx_1) = skolem197(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem198(__eqx_0, __eqx_1) = skolem198(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem199(__eqx_0, __eqx_1) = skolem199(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem200(__eqx_0, __eqx_1) = skolem200(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem201(__eqx_0, __eqx_1, __eqx_2) = skolem201(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem202(__eqx_0, __eqx_1, __eqx_2) = skolem202(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem203(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem203(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem204(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem204(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-541, 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)) )).
% 29.00/29.22 cnf(matrix-542, 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)) )).
% 29.00/29.22 cnf(matrix-543, 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)) )).
% 29.00/29.22 cnf(matrix-544, 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)) )).
% 29.00/29.22 cnf(matrix-545, 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)) )).
% 29.00/29.22 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem210(__eqx_0, __eqx_1, __eqx_2) = skolem210(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem211(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem211(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem212(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem212(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem213(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem213(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem214(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem214(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem215(__eqx_0, __eqx_1) = skolem215(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem216(__eqx_0, __eqx_1) = skolem216(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem217(__eqx_0, __eqx_1) = skolem217(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem218(__eqx_0, __eqx_1) = skolem218(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-555, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem219(__eqx_0, __eqx_1) = skolem219(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem220(__eqx_0, __eqx_1) = skolem220(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem221(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem221(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem222(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem222(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem223(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem223(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem224(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem224(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem225(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem225(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem226(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem226(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem227(__eqx_0, __eqx_1) = skolem227(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem228(__eqx_0, __eqx_1) = skolem228(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem229(__eqx_0, __eqx_1) = skolem229(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem230(__eqx_0, __eqx_1) = skolem230(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem231(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem231(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-568, 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)) )).
% 29.00/29.22 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem233(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem233(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-570, 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) | ( skolem234(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem234(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 29.00/29.22 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem235(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem235(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem236(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem236(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem237(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem237(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem238(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem238(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem239(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem239(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-576, 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)) )).
% 29.00/29.22 cnf(matrix-577, 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)) )).
% 29.00/29.22 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem242(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem242(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-579, 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)) )).
% 29.00/29.22 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem244(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem244(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem245(__eqx_0, __eqx_1, __eqx_2) = skolem245(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem246(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem246(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-583, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem247(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem247(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 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) | ( skolem248(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem248(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-585, 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)) )).
% 29.00/29.22 cnf(matrix-586, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem250(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem250(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 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) | ( 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)) )).
% 29.00/29.22 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem252(__eqx_0, __eqx_1, __eqx_2) = skolem252(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem253(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem253(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-590, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem254(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem254(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem255(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem255(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem256(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem256(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem257(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem257(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-594, 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)) )).
% 29.00/29.22 cnf(matrix-595, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem259(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem259(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-596, 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)) )).
% 29.00/29.22 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem261(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem261(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-598, 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)) )).
% 29.00/29.22 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( skolem263(__eqx_0) = skolem263(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( skolem264(__eqx_0) = skolem264(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( skolem265(__eqx_0) = skolem265(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-602, plain, ( ( __eqx_0 != __eqy_0) | ( skolem266(__eqx_0) = skolem266(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem267(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem267(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem268(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem268(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-605, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem269(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem269(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-606, 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)) )).
% 29.00/29.22 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem271(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem271(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem272(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem272(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem273(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem273(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem274(__eqx_0, __eqx_1, __eqx_2) = skolem274(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem275(__eqx_0, __eqx_1, __eqx_2) = skolem275(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem276(__eqx_0, __eqx_1, __eqx_2) = skolem276(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-613, 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)) )).
% 29.00/29.22 cnf(matrix-614, 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)) )).
% 29.00/29.22 cnf(matrix-615, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem279(__eqx_0, __eqx_1) = skolem279(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem280(__eqx_0, __eqx_1) = skolem280(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem281(__eqx_0, __eqx_1, __eqx_2) = skolem281(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-618, 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)) )).
% 29.00/29.22 cnf(matrix-619, 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)) )).
% 29.00/29.22 cnf(matrix-620, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem284(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem284(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem285(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem285(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem286(__eqx_0, __eqx_1) = skolem286(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem287(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem287(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem288(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem288(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem289(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem289(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-627, 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) | ( skolem291(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem291(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem292(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem292(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem293(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem293(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem294(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem294(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-631, 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) | ( skolem295(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem295(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 29.00/29.22 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem296(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem296(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 29.00/29.22 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem297(__eqx_0, __eqx_1, __eqx_2) = skolem297(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( skolem298(__eqx_0) = skolem298(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem299(__eqx_0, __eqx_1, __eqx_2) = skolem299(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-636, 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) | ( skolem300(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem300(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( skolem301(__eqx_0) = skolem301(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( skolem302(__eqx_0) = skolem302(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem303(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem303(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-640, 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)) )).
% 29.00/29.22 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem305(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem305(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem306(__eqx_0, __eqx_1) = skolem306(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem307(__eqx_0, __eqx_1) = skolem307(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-644, 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)) )).
% 29.00/29.22 cnf(matrix-645, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem309(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem309(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem310(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem310(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem311(__eqx_0, __eqx_1) = skolem311(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem312(__eqx_0, __eqx_1, __eqx_2) = skolem312(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem313(__eqx_0, __eqx_1) = skolem313(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem314(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem314(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem315(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem315(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-652, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem316(__eqx_0, __eqx_1) = skolem316(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-653, 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)) )).
% 29.00/29.22 cnf(matrix-654, 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)) )).
% 29.00/29.22 cnf(matrix-655, 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)) )).
% 29.00/29.22 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem320(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem320(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem321(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem321(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem322(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem322(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem323(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem323(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-660, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem324(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem324(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem325(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem325(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem326(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem326(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem327(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem327(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem328(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem328(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem329(__eqx_0, __eqx_1, __eqx_2) = skolem329(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem330(__eqx_0, __eqx_1, __eqx_2) = skolem330(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem331(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem331(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem332(__eqx_0, __eqx_1, __eqx_2) = skolem332(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem333(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem333(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-670, 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)) )).
% 29.00/29.22 cnf(matrix-671, 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)) )).
% 29.00/29.22 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem336(__eqx_0, __eqx_1, __eqx_2) = skolem336(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem337(__eqx_0, __eqx_1, __eqx_2) = skolem337(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-674, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem338(__eqx_0, __eqx_1, __eqx_2) = skolem338(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem339(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem339(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-676, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem340(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem340(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem341(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem341(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem342(__eqx_0, __eqx_1, __eqx_2) = skolem342(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-679, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem343(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem343(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem344(__eqx_0, __eqx_1, __eqx_2) = skolem344(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-681, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem345(__eqx_0, __eqx_1, __eqx_2) = skolem345(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-682, 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)) )).
% 29.00/29.22 cnf(matrix-683, 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)) )).
% 29.00/29.22 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem348(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem348(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem349(__eqx_0, __eqx_1, __eqx_2) = skolem349(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-686, 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)) )).
% 29.00/29.22 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem351(__eqx_0, __eqx_1) = skolem351(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem352(__eqx_0, __eqx_1) = skolem352(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem353(__eqx_0, __eqx_1) = skolem353(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-690, 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)) )).
% 29.00/29.22 cnf(matrix-691, 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)) )).
% 29.00/29.22 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem356(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem356(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-693, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem357(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem357(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-694, 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)) )).
% 29.00/29.22 cnf(matrix-695, 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)) )).
% 29.00/29.22 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( skolem360(__eqx_0) = skolem360(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem361(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem361(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-698, 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)) )).
% 29.00/29.22 cnf(matrix-699, 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)) )).
% 29.00/29.22 cnf(matrix-700, 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)) )).
% 29.00/29.22 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem365(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem365(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem366(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem366(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-703, 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)) )).
% 29.00/29.22 cnf(matrix-704, 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)) )).
% 29.00/29.22 cnf(matrix-705, 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)) )).
% 29.00/29.22 cnf(matrix-706, 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) | ( skolem370(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem370(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem371(__eqx_0, __eqx_1) = skolem371(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-708, 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)) )).
% 29.00/29.22 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem373(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem373(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 29.00/29.22 cnf(matrix-710, 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)) )).
% 29.00/29.22 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem375(__eqx_0, __eqx_1, __eqx_2) = skolem375(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem376(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem376(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem377(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem377(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem378(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem378(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem379(__eqx_0, __eqx_1, __eqx_2) = skolem379(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem380(__eqx_0, __eqx_1, __eqx_2) = skolem380(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-717, 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)) )).
% 29.00/29.22 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem382(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem382(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-719, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem383(__eqx_0, __eqx_1) = skolem383(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-720, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem384(__eqx_0, __eqx_1) = skolem384(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-721, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem385(__eqx_0, __eqx_1, __eqx_2) = skolem385(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem386(__eqx_0, __eqx_1, __eqx_2) = skolem386(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem387(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem387(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem388(__eqx_0, __eqx_1, __eqx_2) = skolem388(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-725, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem389(__eqx_0, __eqx_1, __eqx_2) = skolem389(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-726, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem390(__eqx_0, __eqx_1, __eqx_2) = skolem390(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem391(__eqx_0, __eqx_1, __eqx_2) = skolem391(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem392(__eqx_0, __eqx_1, __eqx_2) = skolem392(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem393(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem393(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem394(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem394(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem395(__eqx_0, __eqx_1, __eqx_2) = skolem395(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem396(__eqx_0, __eqx_1, __eqx_2) = skolem396(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem397(__eqx_0, __eqx_1) = skolem397(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem398(__eqx_0, __eqx_1) = skolem398(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-735, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem399(__eqx_0, __eqx_1, __eqx_2) = skolem399(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-736, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem400(__eqx_0, __eqx_1, __eqx_2) = skolem400(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem401(__eqx_0, __eqx_1) = skolem401(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem402(__eqx_0, __eqx_1, __eqx_2) = skolem402(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-739, 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)) )).
% 29.00/29.22 cnf(matrix-740, 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)) )).
% 29.00/29.22 cnf(matrix-741, 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)) )).
% 29.00/29.22 cnf(matrix-742, 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)) )).
% 29.00/29.22 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem407(__eqx_0, __eqx_1) = skolem407(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem408(__eqx_0, __eqx_1) = skolem408(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-745, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem409(__eqx_0, __eqx_1, __eqx_2) = skolem409(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem410(__eqx_0, __eqx_1, __eqx_2) = skolem410(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem411(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem411(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem412(__eqx_0, __eqx_1) = skolem412(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem413(__eqx_0, __eqx_1) = skolem413(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem414(__eqx_0, __eqx_1, __eqx_2) = skolem414(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-751, 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)) )).
% 29.00/29.22 cnf(matrix-752, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem416(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem416(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem417(__eqx_0, __eqx_1) = skolem417(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem418(__eqx_0, __eqx_1) = skolem418(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem419(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem419(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem420(__eqx_0, __eqx_1) = skolem420(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem421(__eqx_0, __eqx_1) = skolem421(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem422(__eqx_0, __eqx_1) = skolem422(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-759, 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)) )).
% 29.00/29.22 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem424(__eqx_0, __eqx_1, __eqx_2) = skolem424(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-761, 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) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 29.00/29.22 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem426(__eqx_0, __eqx_1) = skolem426(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem427(__eqx_0, __eqx_1) = skolem427(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-764, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem428(__eqx_0, __eqx_1) = skolem428(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-765, 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) | ( skolem429(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem429(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem430(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem430(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem431(__eqx_0, __eqx_1) = skolem431(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( skolem432(__eqx_0) = skolem432(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem433(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem433(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem434(__eqx_0, __eqx_1) = skolem434(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem435(__eqx_0, __eqx_1, __eqx_2) = skolem435(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem436(__eqx_0, __eqx_1, __eqx_2) = skolem436(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem437(__eqx_0, __eqx_1, __eqx_2) = skolem437(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-774, 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)) )).
% 29.00/29.22 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem439(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem439(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-776, 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) | ( skolem440(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem440(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-777, 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) | ( skolem441(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem441(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-778, 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) | ( skolem442(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem442(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-779, 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) | ( skolem443(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem443(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-780, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem444(__eqx_0, __eqx_1) = skolem444(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem445(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem445(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem446(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem446(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-783, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem447(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem447(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem448(__eqx_0, __eqx_1) = skolem448(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem449(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem449(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem450(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem450(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-787, 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) | ( skolem451(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem451(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem452(__eqx_0, __eqx_1, __eqx_2) = skolem452(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-789, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem453(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem453(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem454(__eqx_0, __eqx_1) = skolem454(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-791, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem455(__eqx_0, __eqx_1, __eqx_2) = skolem455(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem456(__eqx_0, __eqx_1) = skolem456(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem457(__eqx_0, __eqx_1, __eqx_2) = skolem457(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-794, 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)) )).
% 29.00/29.22 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem459(__eqx_0, __eqx_1, __eqx_2) = skolem459(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem460(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem460(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem461(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem461(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem462(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem462(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem463(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem463(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem464(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem464(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem465(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem465(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem466(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem466(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-803, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem467(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem467(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem468(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem468(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-805, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem469(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem469(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-806, 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) | ( skolem470(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem470(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem471(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem471(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem472(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem472(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem473(__eqx_0, __eqx_1, __eqx_2) = skolem473(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem474(__eqx_0, __eqx_1, __eqx_2) = skolem474(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem475(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem475(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-812, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem476(__eqx_0, __eqx_1) = skolem476(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem477(__eqx_0, __eqx_1) = skolem477(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-814, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem478(__eqx_0, __eqx_1) = skolem478(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-815, 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)) )).
% 29.00/29.22 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem480(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem480(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem481(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem481(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem482(__eqx_0, __eqx_1, __eqx_2) = skolem482(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem483(__eqx_0, __eqx_1, __eqx_2) = skolem483(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-820, 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) | ( skolem484(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem484(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-821, 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)) )).
% 29.00/29.22 cnf(matrix-822, 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)) )).
% 29.00/29.22 cnf(matrix-823, 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)) )).
% 29.00/29.22 cnf(matrix-824, 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)) )).
% 29.00/29.22 cnf(matrix-825, 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) | ( skolem489(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem489(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 29.00/29.22 cnf(matrix-826, 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)) )).
% 29.00/29.22 cnf(matrix-827, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem491(__eqx_0, __eqx_1) = skolem491(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-828, 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) | ( skolem492(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem492(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 29.00/29.22 cnf(matrix-829, 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)) )).
% 29.00/29.22 cnf(matrix-830, 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)) )).
% 29.00/29.22 cnf(matrix-831, 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)) )).
% 29.00/29.22 cnf(matrix-832, 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)) )).
% 29.00/29.22 cnf(matrix-833, 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)) )).
% 29.00/29.22 cnf(matrix-834, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem498(__eqx_0, __eqx_1, __eqx_2) = skolem498(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-835, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem499(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem499(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-836, 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) | ( skolem500(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem500(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem501(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem501(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem502(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem502(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem503(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem503(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem504(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem504(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-841, 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)) )).
% 29.00/29.22 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem506(__eqx_0, __eqx_1) = skolem506(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem507(__eqx_0, __eqx_1) = skolem507(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-844, 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)) )).
% 29.00/29.22 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem509(__eqx_0, __eqx_1) = skolem509(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem510(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem510(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem511(__eqx_0, __eqx_1, __eqx_2) = skolem511(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-848, 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)) )).
% 29.00/29.22 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem513(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem513(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-850, 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) | ( skolem514(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem514(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 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) | ( skolem515(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem515(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 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) | ( skolem516(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem516(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem517(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem517(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem518(__eqx_0, __eqx_1, __eqx_2) = skolem518(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem519(__eqx_0, __eqx_1, __eqx_2) = skolem519(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem520(__eqx_0, __eqx_1, __eqx_2) = skolem520(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem521(__eqx_0, __eqx_1, __eqx_2) = skolem521(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-858, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem522(__eqx_0, __eqx_1, __eqx_2) = skolem522(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem523(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem523(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem524(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem524(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem525(__eqx_0, __eqx_1) = skolem525(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-862, 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)) )).
% 29.00/29.22 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem527(__eqx_0, __eqx_1, __eqx_2) = skolem527(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem528(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem528(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-865, 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)) )).
% 29.00/29.22 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem530(__eqx_0, __eqx_1, __eqx_2) = skolem530(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem531(__eqx_0, __eqx_1, __eqx_2) = skolem531(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem532(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem532(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem533(__eqx_0, __eqx_1, __eqx_2) = skolem533(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem534(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem534(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem535(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem535(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem536(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem536(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem537(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem537(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem538(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem538(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem539(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem539(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem540(__eqx_0, __eqx_1, __eqx_2) = skolem540(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-877, 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) | ( skolem541(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem541(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-878, 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) | ( skolem542(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem542(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem543(__eqx_0, __eqx_1) = skolem543(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem544(__eqx_0, __eqx_1, __eqx_2) = skolem544(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-881, 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) | ( skolem545(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem545(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 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) | ( __eqx_6 != __eqy_6) | ( skolem546(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem546(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 29.00/29.22 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem547(__eqx_0, __eqx_1, __eqx_2) = skolem547(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem548(__eqx_0, __eqx_1, __eqx_2) = skolem548(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ( skolem549(__eqx_0) = skolem549(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem550(__eqx_0, __eqx_1) = skolem550(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-887, 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)) )).
% 29.00/29.22 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem552(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem552(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem553(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem553(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem554(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem554(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.00/29.22 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem555(__eqx_0, __eqx_1) = skolem555(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem556(__eqx_0, __eqx_1) = skolem556(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem557(__eqx_0, __eqx_1) = skolem557(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem558(__eqx_0, __eqx_1) = skolem558(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem559(__eqx_0, __eqx_1) = skolem559(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem560(__eqx_0, __eqx_1) = skolem560(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem561(__eqx_0, __eqx_1) = skolem561(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ( skolem562(__eqx_0) = skolem562(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ( skolem563(__eqx_0) = skolem563(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ( skolem564(__eqx_0) = skolem564(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ( skolem565(__eqx_0) = skolem565(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ( skolem566(__eqx_0) = skolem566(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem567(__eqx_0, __eqx_1) = skolem567(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem568(__eqx_0, __eqx_1) = skolem568(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem569(__eqx_0, __eqx_1) = skolem569(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem570(__eqx_0, __eqx_1, __eqx_2) = skolem570(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.00/29.22 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem571(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem571(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 29.00/29.22 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) | ( skolem572(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem572(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 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) | ( skolem573(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem573(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 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) | ( skolem574(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem574(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 29.00/29.22 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem575(__eqx_0, __eqx_1) = skolem575(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ( skolem576(__eqx_0) = skolem576(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem577(__eqx_0, __eqx_1) = skolem577(__eqy_0, __eqy_1)) )).
% 29.00/29.22 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ( skolem578(__eqx_0) = skolem578(__eqy_0)) )).
% 29.00/29.22 cnf(matrix-915, 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)) )).
% 29.00/29.22 cnf(matrix-916, 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) )).
% 29.00/29.22 cnf(matrix-917, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 29.00/29.22 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 29.00/29.22 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Otriple__valid(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Otriple__valid(__eqy_0, __eqy_1, __eqy_2) )).
% 29.00/29.22 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Natural_Oevaln(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Natural_Oevaln(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 29.00/29.22 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 29.00/29.22 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 29.00/29.22 cnf(matrix-923, 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) )).
% 29.00/29.22 cnf(matrix-924, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-927, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 29.00/29.22 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 29.00/29.22 cnf(matrix-930, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 29.00/29.22 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 29.00/29.22 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 29.00/29.22 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 29.00/29.22 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 29.00/29.22 cnf(matrix-939, 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) )).
% 29.00/29.22 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 29.00/29.22 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 29.00/29.22 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-943, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 29.00/29.22 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 29.00/29.22 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 29.00/29.22 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 29.00/29.22 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 29.00/29.22 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 29.00/29.22 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 29.00/29.22 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 29.00/29.22 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 29.00/29.22 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 29.00/29.22 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 29.00/29.22 cnf(matrix-960, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 29.00/29.22 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 29.00/29.22 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 29.00/29.22 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 29.00/29.22 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-967, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 29.00/29.22 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 29.00/29.22 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-972, 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) )).
% 29.00/29.22 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 29.00/29.22 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 29.00/29.22 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 29.00/29.22 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 29.00/29.22 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 29.00/29.22 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 29.00/29.22 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 29.00/29.22 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 29.00/29.22 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 29.00/29.22 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 29.00/29.22 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 29.00/29.22 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 29.00/29.22 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 29.00/29.22 cnf(matrix-987, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 29.00/29.22 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 29.00/29.22 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-990, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 29.00/29.22 cnf(matrix-991, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 29.00/29.22 cnf(matrix-992, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 29.00/29.22 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 29.00/29.22 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 29.00/29.22 cnf(matrix-995, 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) )).
% 29.00/29.22 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 29.00/29.22 cnf(matrix-997, 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) )).
% 29.00/29.22 cnf(matrix-998, 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) )).
% 29.00/29.22 cnf(matrix-999, 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) )).
% 29.00/29.22 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1001, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1003, 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) )).
% 29.00/29.22 cnf(matrix-1004, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1006, 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) )).
% 29.00/29.22 cnf(matrix-1007, 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) )).
% 29.00/29.22 cnf(matrix-1008, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1009, 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) )).
% 29.00/29.22 cnf(matrix-1010, 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) )).
% 29.00/29.22 cnf(matrix-1011, 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) )).
% 29.00/29.22 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1013, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1014, 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) )).
% 29.00/29.22 cnf(matrix-1015, 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) )).
% 29.00/29.22 cnf(matrix-1016, 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) )).
% 29.00/29.22 cnf(matrix-1017, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1018, 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) )).
% 29.00/29.22 cnf(matrix-1019, 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) )).
% 29.00/29.22 cnf(matrix-1020, 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) )).
% 29.00/29.22 cnf(matrix-1021, 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) )).
% 29.00/29.22 cnf(matrix-1022, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1023, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1024, 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) )).
% 29.00/29.22 cnf(matrix-1025, 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) )).
% 29.00/29.22 cnf(matrix-1026, 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) )).
% 29.00/29.22 cnf(matrix-1027, 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) )).
% 29.00/29.22 cnf(matrix-1028, 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) )).
% 29.00/29.22 cnf(matrix-1029, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1030, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1031, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1032, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1033, 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) )).
% 29.00/29.22 cnf(matrix-1034, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__valids(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__valids(__eqy_0, __eqy_1, __eqy_2) )).
% 29.00/29.22 cnf(matrix-1035, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1036, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1037, 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) )).
% 29.00/29.22 cnf(matrix-1038, 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) )).
% 29.00/29.22 cnf(matrix-1039, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1040, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1041, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1042, 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) )).
% 29.00/29.22 cnf(matrix-1043, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1044, 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) )).
% 29.00/29.22 cnf(matrix-1045, 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) )).
% 29.00/29.22 cnf(matrix-1046, 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) )).
% 29.00/29.22 cnf(matrix-1047, 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) )).
% 29.00/29.22 cnf(matrix-1048, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1049, 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) )).
% 29.00/29.22 cnf(matrix-1050, 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) )).
% 29.00/29.22 cnf(matrix-1051, 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) )).
% 29.00/29.22 cnf(matrix-1052, 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) )).
% 29.00/29.22 cnf(matrix-1053, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lazy__Sequence_Osmall__lazy(__eqx_0) | class_Lazy__Sequence_Osmall__lazy(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1054, 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) )).
% 29.00/29.22 cnf(matrix-1055, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Otrans(__eqx_0, __eqx_1) | c_Relation_Otrans(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1056, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Otransp(__eqx_0, __eqx_1) | c_Predicate_Otransp(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1057, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1058, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Osymp(__eqx_0, __eqx_1) | c_Predicate_Osymp(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1059, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Osym(__eqx_0, __eqx_1) | c_Relation_Osym(__eqy_0, __eqy_1) )).
% 29.00/29.22 cnf(matrix-1060, 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) )).
% 29.00/29.22 cnf(matrix-1061, 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) )).
% 29.00/29.22 cnf(matrix-1062, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 29.00/29.22 cnf(matrix-1063, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 29.00/29.22 cnf(matrix-1064, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u4, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool))) )).
% 29.00/29.22 cnf(matrix-1065, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool))) )).
% 29.00/29.22 cnf(matrix-1066, 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) )).
% 29.00/29.22 cnf(matrix-1067, 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) )).
% 29.00/29.22 cnf(matrix-1068, 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) )).
% 29.00/29.22 cnf(matrix-1069, 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)) )).
% 29.00/29.22 cnf(matrix-1070, 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) )).
% 29.00/29.22 cnf(matrix-1071, 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)) )).
% 29.00/29.22 cnf(matrix-1072, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u36, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u36), _u37), hAPP(c_Com_Ocom_OBODY, _u38)), _u39)), _u40), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u36), _u37), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u38))), _u39)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u36), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u36, _u40, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u36)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u36), _u37), hAPP(c_Com_Ocom_OBODY, _u38)), _u39)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u36), tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(matrix-1073, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u41, _u42, _u43, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u41), _u44), _u45), _u46)) = hAPP(hAPP(hAPP(_u43, _u44), _u45), _u46)) )).
% 29.00/29.22 cnf(matrix-1074, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u47, _u48, _u49, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u47), _u50), _u51), _u52)) = hAPP(hAPP(hAPP(_u49, _u50), _u51), _u52)) )).
% 29.00/29.22 cnf(matrix-1075, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u53, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u53), _u54), _u55)) )).
% 29.00/29.22 cnf(matrix-1076, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u56), _u57), _u58) != c_Orderings_Obot__class_Obot(tc_fun(_u56, tc_HOL_Obool))) )).
% 29.00/29.22 cnf(matrix-1077, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u66 = _u70) | ( _u66 = _u72) )).
% 29.00/29.22 cnf(matrix-1078, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u66 = _u70) | ( _u68 = _u70) )).
% 29.00/29.22 cnf(matrix-1079, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u68 = _u72) | ( _u66 = _u72) )).
% 29.00/29.22 cnf(matrix-1080, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u64), _u66), hAPP(hAPP(c_Set_Oinsert(_u64), _u68), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u64), _u70), hAPP(hAPP(c_Set_Oinsert(_u64), _u72), c_Orderings_Obot__class_Obot(tc_fun(_u64, tc_HOL_Obool))))) | ( _u68 = _u72) | ( _u68 = _u70) )).
% 29.00/29.22 cnf(matrix-1081, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u65), _u67), hAPP(hAPP(c_Set_Oinsert(_u65), _u69), c_Orderings_Obot__class_Obot(tc_fun(_u65, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u65), _u71), hAPP(hAPP(c_Set_Oinsert(_u65), _u73), c_Orderings_Obot__class_Obot(tc_fun(_u65, tc_HOL_Obool))))) | ( _u67 != _u71) | ( _u69 != _u73) )).
% 29.00/29.22 cnf(matrix-1082, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u65), _u67), hAPP(hAPP(c_Set_Oinsert(_u65), _u69), c_Orderings_Obot__class_Obot(tc_fun(_u65, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u65), _u71), hAPP(hAPP(c_Set_Oinsert(_u65), _u73), c_Orderings_Obot__class_Obot(tc_fun(_u65, tc_HOL_Obool))))) | ( _u67 != _u73) | ( _u69 != _u71) )).
% 29.00/29.22 cnf(matrix-1083, plain, ( ( _u75 = _u76) | ( hAPP(hAPP(c_Set_Oinsert(_u74), _u75), c_Orderings_Obot__class_Obot(tc_fun(_u74, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u74), _u76), c_Orderings_Obot__class_Obot(tc_fun(_u74, tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(matrix-1084, plain, ( ~class_Orderings_Obot(_u77) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u78, _u77)), _u79) = c_Orderings_Obot__class_Obot(_u77)) )).
% 29.00/29.22 cnf(matrix-1085, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u80, _u81, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u80)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u80), _u82), c_Com_Ocom_OSKIP), _u82)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u80), tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(matrix-1086, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u83, _u84, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u83)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u83), _u85), c_Com_Ocom_OSKIP), _u85)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u83), tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(matrix-1087, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u88, _u89, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u88)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u88), _u90), _u91), _u92)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u88), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u88, _u89, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u88)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u88), _u90), _u91), _u93)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u88), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u92, skolem2(_u93, _u92, _u91, _u90, _u89, _u88)), skolem3(_u93, _u92, _u91, _u90, _u89, _u88))) )).
% 29.00/29.22 cnf(matrix-1088, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u88, _u89, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u88)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u88), _u90), _u91), _u92)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u88), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u88, _u89, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u88)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u88), _u90), _u91), _u93)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u88), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u93, skolem2(_u93, _u92, _u91, _u90, _u89, _u88)), skolem3(_u93, _u92, _u91, _u90, _u89, _u88))) )).
% 29.00/29.22 cnf(matrix-1089, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u96, _u97, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u96)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u96), _u98), _u99), _u100)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u96), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u96, _u97, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u96)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u96), _u101), _u99), _u100)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u96), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u101, skolem4(_u101, _u100, _u99, _u98, _u97, _u96)), skolem5(_u101, _u100, _u99, _u98, _u97, _u96))) )).
% 29.00/29.22 cnf(matrix-1090, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u96, _u97, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u96)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u96), _u98), _u99), _u100)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u96), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u96, _u97, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u96)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u96), _u101), _u99), _u100)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u96), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u98, skolem4(_u101, _u100, _u99, _u98, _u97, _u96)), skolem5(_u101, _u100, _u99, _u98, _u97, _u96))) )).
% 29.00/29.22 cnf(matrix-1091, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u102, _u103, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u102)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u102), _u104), _u105), _u106)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u102), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u102, _u103, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u102)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u102), _u106), _u107), _u108)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u102), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u102, _u103, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u102)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u102), _u104), c_Com_Ocom_OSemi(_u105, _u107)), _u108)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u102), tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(matrix-1092, plain, ( ( _u115 = _u119) | hBOOL(hAPP(_u117, _u119)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u113), _u115), _u117), _u119)) )).
% 29.00/29.22 cnf(matrix-1093, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u114), _u116), _u118), _u120)) | ( _u116 != _u120) )).
% 29.00/29.22 cnf(matrix-1094, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u114), _u116), _u118), _u120)) | ~hBOOL(hAPP(_u118, _u120)) )).
% 29.00/29.22 cnf(matrix-1095, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u121), _u122), hAPP(hAPP(c_Set_Oinsert(_u121), _u123), _u124)) = hAPP(hAPP(c_Set_Oinsert(_u121), _u123), hAPP(hAPP(c_Set_Oinsert(_u121), _u122), _u124))) )).
% 29.00/29.22 cnf(matrix-1096, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u125), _u126), hAPP(hAPP(c_Set_Oinsert(_u125), _u126), _u127)) = hAPP(hAPP(c_Set_Oinsert(_u125), _u126), _u127)) )).
% 29.00/29.22 cnf(matrix-1097, plain, ( ( c_Set_Othe__elem(_u128, hAPP(hAPP(c_Set_Oinsert(_u128), _u129), c_Orderings_Obot__class_Obot(tc_fun(_u128, tc_HOL_Obool)))) = _u129) )).
% 29.00/29.22 cnf(matrix-1098, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u130, _u131)) )).
% 29.00/29.22 cnf(matrix-1099, plain, ( ( c_Com_Ocom_OSemi(_u132, _u133) != c_Com_Ocom_OSKIP) )).
% 29.00/29.22 cnf(matrix-1100, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u134) != c_Com_Ocom_OSKIP) )).
% 29.00/29.22 cnf(matrix-1101, plain, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u135)) )).
% 29.00/29.22 cnf(matrix-1102, plain, ( ( c_Com_Ocom_OSemi(_u136, _u137) != hAPP(c_Com_Ocom_OBODY, _u138)) )).
% 29.00/29.22 cnf(matrix-1103, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u139) != c_Com_Ocom_OSemi(_u140, _u141)) )).
% 29.00/29.22 cnf(matrix-1104, plain, ( ( c_Com_Ocom_OSemi(_u146, _u148) != c_Com_Ocom_OSemi(_u150, _u152)) | ( _u146 = _u150) )).
% 29.00/29.22 cnf(matrix-1105, plain, ( ( c_Com_Ocom_OSemi(_u146, _u148) != c_Com_Ocom_OSemi(_u150, _u152)) | ( _u148 = _u152) )).
% 29.00/29.22 cnf(matrix-1106, plain, ( ( _u147 != _u151) | ( _u149 != _u153) | ( c_Com_Ocom_OSemi(_u147, _u149) = c_Com_Ocom_OSemi(_u151, _u153)) )).
% 29.00/29.22 cnf(matrix-1107, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u156) != hAPP(c_Com_Ocom_OBODY, _u158)) | ( _u156 = _u158) )).
% 29.00/29.22 cnf(matrix-1108, plain, ( ( _u157 != _u159) | ( hAPP(c_Com_Ocom_OBODY, _u157) = hAPP(c_Com_Ocom_OBODY, _u159)) )).
% 29.00/29.22 cnf(matrix-1109, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u160))), _u161), _u162)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u160)), _u161), _u162)) )).
% 29.00/29.22 cnf(matrix-1110, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u163)), _u164), _u165)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u163))), _u164), _u165)) )).
% 29.00/29.22 cnf(matrix-1111, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u171, _u173, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u171), _u175), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u177))), _u179)) | c_Hoare__Mirabelle_Otriple__valid(_u171, hAPP(c_Nat_OSuc, _u173), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u171), _u175), hAPP(c_Com_Ocom_OBODY, _u177)), _u179)) )).
% 29.00/29.22 cnf(matrix-1112, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u172, hAPP(c_Nat_OSuc, _u174), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u172), _u176), hAPP(c_Com_Ocom_OBODY, _u178)), _u180)) | c_Hoare__Mirabelle_Otriple__valid(_u172, _u174, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u172), _u176), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u178))), _u180)) )).
% 29.00/29.22 cnf(matrix-1113, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u181), _u182), _u183)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u184), _u183), _u185)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u181, _u184)), _u182), _u185)) )).
% 29.00/29.22 cnf(matrix-1114, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u186), _u187)) | ( _u187 = _u186) )).
% 29.00/29.22 cnf(matrix-1115, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u188), _u188)) )).
% 29.00/29.22 cnf(matrix-1116, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u189), _u190), _u191)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u189), _u190), _u192)) | ( _u192 = _u191) )).
% 29.00/29.22 cnf(matrix-1117, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u193, hAPP(c_Nat_OSuc, _u194), _u195) | c_Hoare__Mirabelle_Otriple__valid(_u193, _u194, _u195) )).
% 29.00/29.22 cnf(matrix-1118, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u202, _u204)), _u206), _u208)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u202), _u206), skolem6(_u208, _u206, _u204, _u202))) )).
% 29.00/29.22 cnf(matrix-1119, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u202, _u204)), _u206), _u208)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u204), skolem6(_u208, _u206, _u204, _u202)), _u208)) )).
% 29.00/29.22 cnf(matrix-1120, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u203), _u207), _u197)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u205), _u197), _u209)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u203, _u205)), _u207), _u209)) )).
% 29.00/29.22 cnf(matrix-1121, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u210), _u210)) )).
% 29.00/29.22 cnf(matrix-1122, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u214)), _u216), _u218)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u214))), _u216), _u218)) )).
% 29.00/29.22 cnf(matrix-1123, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u215))), _u217), _u219)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u215)), _u217), _u219)) )).
% 29.00/29.22 cnf(matrix-1124, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u220)), _u221, _u222, _u223) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u220), _u221, hAPP(c_Nat_OSuc, _u222), _u223) )).
% 29.00/29.22 cnf(matrix-1125, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u228), _u230, hAPP(c_Nat_OSuc, _u232), _u234) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u228)), _u230, _u232, _u234) )).
% 29.00/29.22 cnf(matrix-1126, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u229)), _u231, _u233, _u235) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u229), _u231, hAPP(c_Nat_OSuc, _u233), _u235) )).
% 29.00/29.22 cnf(matrix-1127, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u236, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u236), _u237), hAPP(c_Com_Ocom_OBODY, _u238)), _u239)) )).
% 29.00/29.22 cnf(matrix-1128, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u241, _u242)), _u243), _u244)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u241), _u243), skolem7(_u244, _u243, _u242, _u241))) )).
% 29.00/29.22 cnf(matrix-1129, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u241, _u242)), _u243), _u244)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u242), skolem7(_u244, _u243, _u242, _u241)), _u244)) )).
% 29.00/29.22 cnf(matrix-1130, plain, ( ( hAPP(c_Nat_OSuc, _u245) != hAPP(c_Nat_OSuc, _u246)) | ( _u245 = _u246) )).
% 29.00/29.22 cnf(matrix-1131, plain, ( ( hAPP(c_Nat_OSuc, _u249) != hAPP(c_Nat_OSuc, _u251)) | ( _u249 = _u251) )).
% 29.00/29.22 cnf(matrix-1132, plain, ( ( _u250 != _u252) | ( hAPP(c_Nat_OSuc, _u250) = hAPP(c_Nat_OSuc, _u252)) )).
% 29.00/29.22 cnf(matrix-1133, plain, ( ( hAPP(c_Nat_OSuc, _u253) != _u253) )).
% 29.00/29.22 cnf(matrix-1134, plain, ( ( _u254 != hAPP(c_Nat_OSuc, _u254)) )).
% 29.00/29.22 cnf(matrix-1135, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u256), _u257, _u258, _u259) | ( _u258 = hAPP(c_Nat_OSuc, skolem8(_u259, _u258, _u257, _u256))) )).
% 29.00/29.22 cnf(matrix-1136, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u256), _u257, _u258, _u259) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u256)), _u257, skolem8(_u259, _u258, _u257, _u256), _u259) )).
% 29.00/29.22 cnf(matrix-1137, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u266), _u267), _u268)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u269), _u267), _u270)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u269, skolem9(_u270, _u269, _u268, _u267, _u266, _u265, _u264)), skolem10(_u270, _u269, _u268, _u267, _u266, _u265, _u264))) )).
% 29.00/29.22 cnf(matrix-1138, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u266), _u267), _u268)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u269), _u267), _u270)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u266, _u260), skolem10(_u270, _u269, _u268, _u267, _u266, _u265, _u264))) | hBOOL(hAPP(hAPP(_u268, _u260), skolem11(_u270, _u269, _u268, _u267, _u266, _u265, _u264))) )).
% 29.00/29.22 cnf(matrix-1139, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u266), _u267), _u268)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u264, _u265, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u264)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u264), _u269), _u267), _u270)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u264), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u270, skolem9(_u270, _u269, _u268, _u267, _u266, _u265, _u264)), skolem11(_u270, _u269, _u268, _u267, _u266, _u265, _u264))) )).
% 29.00/29.22 cnf(matrix-1140, plain, ( ~hBOOL(hAPP(hAPP(_u286, _u273), _u272)) | ~c_Natural_Oevaln(_u288, _u272, _u284, _u271) | hBOOL(hAPP(hAPP(_u290, _u273), _u271)) | ~c_Hoare__Mirabelle_Otriple__valid(_u282, _u284, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u282), _u286), _u288), _u290)) )).
% 29.00/29.22 cnf(matrix-1141, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u283, _u285, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u283), _u287), _u289), _u291)) | hBOOL(hAPP(hAPP(_u287, skolem12(_u291, _u289, _u287, _u285)), skolem13(_u291, _u289, _u287, _u285))) )).
% 29.00/29.22 cnf(matrix-1142, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u283, _u285, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u283), _u287), _u289), _u291)) | c_Natural_Oevaln(_u289, skolem13(_u291, _u289, _u287, _u285), _u285, skolem14(_u291, _u289, _u287, _u285)) )).
% 29.00/29.22 cnf(matrix-1143, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u283, _u285, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u283), _u287), _u289), _u291)) | ~hBOOL(hAPP(hAPP(_u291, skolem12(_u291, _u289, _u287, _u285)), skolem14(_u291, _u289, _u287, _u285))) )).
% 29.00/29.22 cnf(matrix-1144, plain, ( ~c_Natural_Oevaln(_u292, _u293, _u294, _u295) | ~c_Natural_Oevaln(_u296, _u295, _u294, _u297) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u292, _u296), _u293, _u294, _u297) )).
% 29.00/29.22 cnf(matrix-1145, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u298, _u299, _u298) )).
% 29.00/29.22 cnf(matrix-1146, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u300, _u301, _u302) | ( _u302 = _u300) )).
% 29.00/29.22 cnf(matrix-1147, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1148, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u303)) )).
% 29.00/29.22 cnf(matrix-1149, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u304)) )).
% 29.00/29.22 cnf(matrix-1150, plain, ( ( hAPP(c_Nat_OSuc, _u305) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1151, plain, ( ( hAPP(c_Nat_OSuc, _u306) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1152, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u307)) )).
% 29.00/29.22 cnf(matrix-1153, plain, ( ( hAPP(c_Nat_OSuc, _u308) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1154, plain, ( ~c_Natural_Oevaln(_u309, _u310, _u311, _u312) | c_Natural_Oevaln(_u309, _u310, hAPP(c_Nat_OSuc, _u311), _u312) )).
% 29.00/29.22 cnf(matrix-1155, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u318), _u320), _u322)) | c_Natural_Oevaln(_u318, _u320, skolem15(_u322, _u320, _u318), _u322) )).
% 29.00/29.22 cnf(matrix-1156, plain, ( ~c_Natural_Oevaln(_u319, _u321, _u314, _u323) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u319), _u321), _u323)) )).
% 29.00/29.22 cnf(matrix-1157, plain, ( ~c_Natural_Oevaln(_u324, _u325, _u326, _u327) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u324), _u325), _u327)) )).
% 29.00/29.22 cnf(matrix-1158, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u335, _u337), _u339, _u341, _u343) | c_Natural_Oevaln(_u335, _u339, _u341, skolem16(_u343, _u341, _u339, _u337, _u335)) )).
% 29.00/29.22 cnf(matrix-1159, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u335, _u337), _u339, _u341, _u343) | c_Natural_Oevaln(_u337, skolem16(_u343, _u341, _u339, _u337, _u335), _u341, _u343) )).
% 29.00/29.22 cnf(matrix-1160, plain, ( ~c_Natural_Oevaln(_u336, _u340, _u342, _u329) | ~c_Natural_Oevaln(_u338, _u329, _u342, _u344) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u336, _u338), _u340, _u342, _u344) )).
% 29.00/29.22 cnf(matrix-1161, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u345, _u346, _u345) )).
% 29.00/29.22 cnf(matrix-1162, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u347, _u348, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u347), _u349), _u350), _u351)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1163, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u352)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u352), _u353), _u354), _u355)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1164, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u357, _u358), _u359, _u360, _u361) | c_Natural_Oevaln(_u357, _u359, _u360, skolem17(_u361, _u360, _u359, _u358, _u357)) )).
% 29.00/29.22 cnf(matrix-1165, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u357, _u358), _u359, _u360, _u361) | c_Natural_Oevaln(_u358, skolem17(_u361, _u360, _u359, _u358, _u357), _u360, _u361) )).
% 29.00/29.22 cnf(matrix-1166, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1167, plain, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u362)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1168, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1169, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u363)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1170, plain, ( ~class_Groups_Ozero(_u364) | ( c_Groups_Ozero__class_Ozero(_u364) != _u365) | ( _u365 = c_Groups_Ozero__class_Ozero(_u364)) )).
% 29.00/29.22 cnf(matrix-1171, plain, ( ~class_Groups_Ozero(_u364) | ( _u365 != c_Groups_Ozero__class_Ozero(_u364)) | ( c_Groups_Ozero__class_Ozero(_u364) = _u365) )).
% 29.00/29.22 cnf(matrix-1172, plain, ( ~class_Rings_Osemiring__1(_u366) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u366, _u367, hAPP(c_Nat_OSuc, _u368), _u369) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u366, _u367, _u368, hAPP(_u367, _u369))) )).
% 29.00/29.22 cnf(matrix-1173, plain, ( ~class_Rings_Osemiring__1(_u370) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u370, _u371, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u372) = _u372) )).
% 29.00/29.22 cnf(matrix-1174, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u374), _u375), _u376)) | c_Natural_Oevaln(_u374, _u375, skolem18(_u376, _u375, _u374), _u376) )).
% 29.00/29.22 cnf(matrix-1175, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u377, _u378)) = 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), _u377)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u378))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1176, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u379, _u380)) = 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(_u379)), c_Com_Ocom_Ocom__size(_u380))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1177, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCall(_u381, _u382, _u383)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1178, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(_u384, _u385, _u386)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1179, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u387, _u388)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1180, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u389, _u390)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1181, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u391))) )).
% 29.00/29.22 cnf(matrix-1182, plain, ( ( _u393 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u393 = hAPP(c_Nat_OSuc, skolem19(_u393))) )).
% 29.00/29.22 cnf(matrix-1183, plain, ( ~hBOOL(hAPP(_u395, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u395, _u396)) | hBOOL(hAPP(_u395, skolem20(_u396, _u395))) )).
% 29.00/29.22 cnf(matrix-1184, plain, ( ~hBOOL(hAPP(_u395, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u395, _u396)) | ~hBOOL(hAPP(_u395, hAPP(c_Nat_OSuc, skolem20(_u396, _u395)))) )).
% 29.00/29.22 cnf(matrix-1185, plain, ( ~hBOOL(hAPP(_u398, _u399)) | hBOOL(hAPP(_u398, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u398, hAPP(c_Nat_OSuc, skolem21(_u399, _u398)))) )).
% 29.00/29.22 cnf(matrix-1186, plain, ( ~hBOOL(hAPP(_u398, _u399)) | hBOOL(hAPP(_u398, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u398, skolem21(_u399, _u398))) )).
% 29.00/29.22 cnf(matrix-1187, plain, ( ( _u401 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u401 = hAPP(c_Nat_OSuc, skolem22(_u401))) )).
% 29.00/29.22 cnf(matrix-1188, plain, ( ( c_Nat_Onat_Onat__case(_u402, _u403, _u404, hAPP(c_Nat_OSuc, _u405)) = hAPP(_u404, _u405)) )).
% 29.00/29.22 cnf(matrix-1189, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u406), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1190, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u407), hAPP(c_Nat_OSuc, _u407))) )).
% 29.00/29.22 cnf(matrix-1191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u408), _u409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u408)), hAPP(c_Nat_OSuc, _u409))) )).
% 29.00/29.22 cnf(matrix-1192, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u410), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u410), _u411), _u412)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u410), _u411), _u413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u410), _u412), _u413)) )).
% 29.00/29.22 cnf(matrix-1193, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u414), _u415), _u416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u414), _u417), _u416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u414), _u415), _u417)) )).
% 29.00/29.22 cnf(matrix-1194, plain, ( ~class_Groups_Ocancel__semigroup__add(_u418) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u418), _u419), _u420) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u418), _u421), _u420)) | ( _u419 = _u421) )).
% 29.00/29.22 cnf(matrix-1195, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u422) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u422), _u423), _u424) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u422), _u423), _u425)) | ( _u424 = _u425) )).
% 29.00/29.22 cnf(matrix-1196, plain, ( ~class_Groups_Ocancel__semigroup__add(_u426) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u426), _u427), _u428) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u426), _u427), _u429)) | ( _u428 = _u429) )).
% 29.00/29.22 cnf(matrix-1197, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u430), _u431), _u432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u430), _u433), _u434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u430), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u430), _u431), _u433)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u430), _u432), _u434))) )).
% 29.00/29.22 cnf(matrix-1198, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u435), _u436), _u437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u435), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u435), _u438), _u436)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u435), _u438), _u437))) )).
% 29.00/29.22 cnf(matrix-1199, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u439), _u440), _u441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u439), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u439), _u440), _u442)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u439), _u441), _u442))) )).
% 29.00/29.22 cnf(matrix-1200, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u443), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u443), _u444), _u445)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u443), _u444), _u446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u443), _u445), _u446)) )).
% 29.00/29.22 cnf(matrix-1201, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u443), _u445), _u446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u443), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u443), _u444), _u445)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u443), _u444), _u446))) )).
% 29.00/29.22 cnf(matrix-1202, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u447), _u448), _u449)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u447), _u450), _u449))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u447), _u448), _u450)) )).
% 29.00/29.22 cnf(matrix-1203, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u447), _u448), _u450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u447), _u448), _u449)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u447), _u450), _u449))) )).
% 29.00/29.22 cnf(matrix-1204, plain, ( ~class_Groups_Ocancel__semigroup__add(_u451) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u451), _u452), _u453) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u451), _u454), _u453)) | ( _u452 = _u454) )).
% 29.00/29.22 cnf(matrix-1205, plain, ( ~class_Groups_Ocancel__semigroup__add(_u451) | ( _u452 != _u454) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u451), _u452), _u453) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u451), _u454), _u453)) )).
% 29.00/29.22 cnf(matrix-1206, plain, ( ~class_Groups_Ocancel__semigroup__add(_u455) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u455), _u456), _u457) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u455), _u456), _u458)) | ( _u457 = _u458) )).
% 29.00/29.22 cnf(matrix-1207, plain, ( ~class_Groups_Ocancel__semigroup__add(_u455) | ( _u457 != _u458) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u455), _u456), _u457) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u455), _u456), _u458)) )).
% 29.00/29.22 cnf(matrix-1208, plain, ( ~class_Groups_Oab__semigroup__add(_u459) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u459), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u459), _u460), _u461)), _u462) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u459), _u460), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u459), _u461), _u462))) )).
% 29.00/29.22 cnf(matrix-1209, plain, ( ( c_Com_Ocom_OCall(_u469, _u471, _u473) != c_Com_Ocom_OCall(_u475, _u477, _u479)) | ( _u469 = _u475) )).
% 29.00/29.22 cnf(matrix-1210, plain, ( ( c_Com_Ocom_OCall(_u469, _u471, _u473) != c_Com_Ocom_OCall(_u475, _u477, _u479)) | ( _u471 = _u477) )).
% 29.00/29.22 cnf(matrix-1211, plain, ( ( c_Com_Ocom_OCall(_u469, _u471, _u473) != c_Com_Ocom_OCall(_u475, _u477, _u479)) | ( _u473 = _u479) )).
% 29.00/29.22 cnf(matrix-1212, plain, ( ( _u470 != _u476) | ( _u472 != _u478) | ( _u474 != _u480) | ( c_Com_Ocom_OCall(_u470, _u472, _u474) = c_Com_Ocom_OCall(_u476, _u478, _u480)) )).
% 29.00/29.22 cnf(matrix-1213, plain, ( ( c_Com_Ocom_OAss(_u485, _u487) != c_Com_Ocom_OAss(_u489, _u491)) | ( _u485 = _u489) )).
% 29.00/29.22 cnf(matrix-1214, plain, ( ( c_Com_Ocom_OAss(_u485, _u487) != c_Com_Ocom_OAss(_u489, _u491)) | ( _u487 = _u491) )).
% 29.00/29.22 cnf(matrix-1215, plain, ( ( _u486 != _u490) | ( _u488 != _u492) | ( c_Com_Ocom_OAss(_u486, _u488) = c_Com_Ocom_OAss(_u490, _u492)) )).
% 29.00/29.22 cnf(matrix-1216, plain, ( ( c_Com_Ocom_OCall(_u493, _u494, _u495) != c_Com_Ocom_OAss(_u496, _u497)) )).
% 29.00/29.22 cnf(matrix-1217, plain, ( ( c_Com_Ocom_OAss(_u498, _u499) != c_Com_Ocom_OCall(_u500, _u501, _u502)) )).
% 29.00/29.22 cnf(matrix-1218, plain, ( ~class_Orderings_Olinorder(_u503) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u503), _u504), _u505)) | ( _u504 = _u505) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u503), _u505), _u504)) )).
% 29.00/29.22 cnf(matrix-1219, plain, ( ~class_Orderings_Opreorder(_u506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u506), _u507), _u508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u506), _u508), _u507)) )).
% 29.00/29.22 cnf(matrix-1220, plain, ( ~class_Orderings_Oorder(_u509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u509), _u510), _u511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u509), _u512), _u510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u509), _u512), _u511)) )).
% 29.00/29.22 cnf(matrix-1221, plain, ( ~class_Orderings_Opreorder(_u513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u513), _u514), _u515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u513), _u515), _u516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u513), _u514), _u516)) )).
% 29.00/29.22 cnf(matrix-1222, plain, ( ~class_Orderings_Oorder(_u517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u517), _u518), _u519)) | ( _u518 != _u520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u517), _u520), _u519)) )).
% 29.00/29.22 cnf(matrix-1223, plain, ( ~class_Orderings_Oord(_u521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u521), _u522), _u523)) | ( _u523 != _u524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u521), _u522), _u524)) )).
% 29.00/29.22 cnf(matrix-1224, plain, ( ~class_Orderings_Oorder(_u525) | ( _u526 != _u527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u525), _u528), _u527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u525), _u528), _u526)) )).
% 29.00/29.22 cnf(matrix-1225, plain, ( ~class_Orderings_Oord(_u529) | ( _u530 != _u531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u529), _u531), _u532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u529), _u530), _u532)) )).
% 29.00/29.22 cnf(matrix-1226, plain, ( ~class_Orderings_Oorder(_u533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u533), _u534), _u535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u533), _u535), _u534)) )).
% 29.00/29.22 cnf(matrix-1227, plain, ( ~class_Orderings_Opreorder(_u536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u536), _u537), _u538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u536), _u538), _u537)) )).
% 29.00/29.22 cnf(matrix-1228, plain, ( ~class_Orderings_Oorder(_u539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u539), _u540), _u541)) | ( _u541 != _u540) )).
% 29.00/29.22 cnf(matrix-1229, plain, ( ~class_Orderings_Oorder(_u542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u542), _u543), _u544)) | ( _u543 != _u544) )).
% 29.00/29.22 cnf(matrix-1230, plain, ( ~class_Orderings_Opreorder(_u545) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u545), _u546), _u547)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u545), _u547), _u546)) )).
% 29.00/29.22 cnf(matrix-1231, plain, ( ~class_Orderings_Opreorder(_u548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), _u549), _u550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u548), _u550), _u549)) )).
% 29.00/29.22 cnf(matrix-1232, plain, ( ~class_Orderings_Oorder(_u551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u551), _u552), _u553)) | ( _u552 != _u553) )).
% 29.00/29.22 cnf(matrix-1233, plain, ( ~class_Orderings_Olinorder(_u554) | ( _u555 = _u556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u554), _u555), _u556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u554), _u556), _u555)) )).
% 29.00/29.22 cnf(matrix-1234, plain, ( ~class_Orderings_Olinorder(_u557) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u557), _u558), _u559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u557), _u559), _u558)) | ( _u559 = _u558) )).
% 29.00/29.22 cnf(matrix-1235, plain, ( ~class_Orderings_Olinorder(_u557) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u557), _u558), _u559)) | ( _u559 != _u558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u557), _u559), _u558)) )).
% 29.00/29.22 cnf(matrix-1236, plain, ( ~class_Orderings_Olinorder(_u560) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u560), _u561), _u562)) | ( _u561 = _u562) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u560), _u562), _u561)) )).
% 29.00/29.22 cnf(matrix-1237, plain, ( ~class_Orderings_Olinorder(_u563) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u564), _u565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u565), _u564)) | ( _u564 = _u565) )).
% 29.00/29.22 cnf(matrix-1238, plain, ( ~class_Orderings_Olinorder(_u563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u564), _u565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u565), _u564)) )).
% 29.00/29.22 cnf(matrix-1239, plain, ( ~class_Orderings_Olinorder(_u563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u563), _u564), _u565)) | ( _u564 != _u565) )).
% 29.00/29.22 cnf(matrix-1240, plain, ( ~class_Orderings_Olinorder(_u566) | ( _u567 = _u568) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u566), _u567), _u568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u566), _u568), _u567)) )).
% 29.00/29.22 cnf(matrix-1241, plain, ( ~class_Orderings_Olinorder(_u566) | ( _u567 != _u568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u566), _u567), _u568)) )).
% 29.00/29.22 cnf(matrix-1242, plain, ( ~class_Orderings_Olinorder(_u566) | ( _u567 != _u568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u566), _u568), _u567)) )).
% 29.00/29.22 cnf(matrix-1243, plain, ( ~class_Orderings_Opreorder(_u569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u569), _u570), _u570)) )).
% 29.00/29.22 cnf(matrix-1244, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u571), _u572)) | ( _u571 = _u572) | hBOOL(hAPP(hAPP(_u573, _u572), _u571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u572), _u571)) )).
% 29.00/29.22 cnf(matrix-1245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u574), _u575)), _u576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u574), _u576)) )).
% 29.00/29.22 cnf(matrix-1246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u577), _u578)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u579), _u578) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u577), _u580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u579), _u580)) )).
% 29.00/29.22 cnf(matrix-1247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u581), _u582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u583), _u584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u581), _u583)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u582), _u584))) )).
% 29.00/29.22 cnf(matrix-1248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u585), _u586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u585), _u587)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u586), _u587))) )).
% 29.00/29.22 cnf(matrix-1249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u588), _u589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u588), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u590), _u589))) )).
% 29.00/29.22 cnf(matrix-1250, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u591), _u592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u591), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u592), _u593))) )).
% 29.00/29.22 cnf(matrix-1251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u594), _u595)) | ( _u594 != _u595) )).
% 29.00/29.22 cnf(matrix-1252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u596), _u597)) | ( _u597 != _u596) )).
% 29.00/29.22 cnf(matrix-1253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u598), _u598)) )).
% 29.00/29.22 cnf(matrix-1254, plain, ( ( _u599 = _u600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u599), _u600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u600), _u599)) )).
% 29.00/29.22 cnf(matrix-1255, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u606), _u608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u604), _u606)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u604), _u608))) )).
% 29.00/29.22 cnf(matrix-1256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u607), _u609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u605), _u607)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u605), _u609))) )).
% 29.00/29.22 cnf(matrix-1257, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u613), _u615) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u617), _u615)) | ( _u613 = _u617) )).
% 29.00/29.22 cnf(matrix-1258, plain, ( ( _u614 != _u618) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u614), _u616) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u618), _u616)) )).
% 29.00/29.22 cnf(matrix-1259, plain, ( ( _u624 = _u626) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u622), _u624) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u622), _u626)) )).
% 29.00/29.22 cnf(matrix-1260, plain, ( ( _u625 != _u627) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u623), _u625) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u623), _u627)) )).
% 29.00/29.22 cnf(matrix-1261, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u628), _u629)), _u630) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u629), _u630))) )).
% 29.00/29.22 cnf(matrix-1262, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u631), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u632), _u633)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u632), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u631), _u633))) )).
% 29.00/29.22 cnf(matrix-1263, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u634), _u635) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u635), _u634)) )).
% 29.00/29.22 cnf(matrix-1264, plain, ( ( _u638 = _u640) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u638), _u640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u640), _u638)) )).
% 29.00/29.22 cnf(matrix-1265, plain, ( ( _u639 != _u641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u639), _u641)) )).
% 29.00/29.22 cnf(matrix-1266, plain, ( ( _u639 != _u641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u641), _u639)) )).
% 29.00/29.22 cnf(matrix-1267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u642), _u643)), _u643)) )).
% 29.00/29.22 cnf(matrix-1268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u644), _u645)), _u644)) )).
% 29.00/29.22 cnf(matrix-1269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u646), _u646)) )).
% 29.00/29.22 cnf(matrix-1270, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u647), _u648), c_Groups_Ozero__class_Ozero(_u647))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u647), _u649), c_Groups_Ozero__class_Ozero(_u647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u647), _u648), _u649)), c_Groups_Ozero__class_Ozero(_u647))) )).
% 29.00/29.22 cnf(matrix-1271, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u650), c_Groups_Ozero__class_Ozero(_u650)), _u651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u650), c_Groups_Ozero__class_Ozero(_u650)), _u652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u650), c_Groups_Ozero__class_Ozero(_u650)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u650), _u651), _u652))) )).
% 29.00/29.22 cnf(matrix-1272, plain, ( ~class_Groups_Olinordered__ab__group__add(_u653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u653), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u653), _u654), _u654)), c_Groups_Ozero__class_Ozero(_u653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u653), _u654), c_Groups_Ozero__class_Ozero(_u653))) )).
% 29.00/29.22 cnf(matrix-1273, plain, ( ~class_Groups_Olinordered__ab__group__add(_u653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u653), _u654), c_Groups_Ozero__class_Ozero(_u653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u653), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u653), _u654), _u654)), c_Groups_Ozero__class_Ozero(_u653))) )).
% 29.00/29.22 cnf(matrix-1274, plain, ( ~class_Groups_Olinordered__ab__group__add(_u655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), c_Groups_Ozero__class_Ozero(_u655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u655), _u656), _u656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), c_Groups_Ozero__class_Ozero(_u655)), _u656)) )).
% 29.00/29.22 cnf(matrix-1275, plain, ( ~class_Groups_Olinordered__ab__group__add(_u655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), c_Groups_Ozero__class_Ozero(_u655)), _u656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u655), c_Groups_Ozero__class_Ozero(_u655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u655), _u656), _u656))) )).
% 29.00/29.22 cnf(matrix-1276, 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), _u659), _u661))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u661)) )).
% 29.00/29.22 cnf(matrix-1277, 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), _u660), _u662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u660)) )).
% 29.00/29.22 cnf(matrix-1278, 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), _u660), _u662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u662)) )).
% 29.00/29.22 cnf(matrix-1279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u667), _u669)) | ( _u669 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u667), skolem23(_u669, _u667)))) )).
% 29.00/29.22 cnf(matrix-1280, plain, ( ( _u670 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u668), _u664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u668), _u670)) )).
% 29.00/29.22 cnf(matrix-1281, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u671), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u672), _u671)))) )).
% 29.00/29.22 cnf(matrix-1282, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u673), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u673), _u674)))) )).
% 29.00/29.22 cnf(matrix-1283, plain, ( ~class_Groups_Omonoid__add(_u675) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u675), c_Groups_Ozero__class_Ozero(_u675)), _u676) = _u676) )).
% 29.00/29.22 cnf(matrix-1284, plain, ( ~class_Groups_Ocomm__monoid__add(_u677) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u677), c_Groups_Ozero__class_Ozero(_u677)), _u678) = _u678) )).
% 29.00/29.22 cnf(matrix-1285, plain, ( ~class_Groups_Olinordered__ab__group__add(_u679) | ( c_Groups_Ozero__class_Ozero(_u679) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u679), _u680), _u680)) | ( _u680 = c_Groups_Ozero__class_Ozero(_u679)) )).
% 29.00/29.22 cnf(matrix-1286, plain, ( ~class_Groups_Olinordered__ab__group__add(_u679) | ( _u680 != c_Groups_Ozero__class_Ozero(_u679)) | ( c_Groups_Ozero__class_Ozero(_u679) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u679), _u680), _u680)) )).
% 29.00/29.22 cnf(matrix-1287, plain, ( ~class_Groups_Omonoid__add(_u681) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u681), _u682), c_Groups_Ozero__class_Ozero(_u681)) = _u682) )).
% 29.00/29.22 cnf(matrix-1288, plain, ( ~class_Groups_Ocomm__monoid__add(_u683) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u683), _u684), c_Groups_Ozero__class_Ozero(_u683)) = _u684) )).
% 29.00/29.22 cnf(matrix-1289, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u685) = _u685) )).
% 29.00/29.22 cnf(matrix-1290, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u686), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u686) )).
% 29.00/29.22 cnf(matrix-1291, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u689), _u691) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u689 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1292, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u689), _u691) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u691 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1293, plain, ( ( _u690 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u692 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u690), _u692) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1294, plain, ( ( _u694 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u693), _u694) != _u693) )).
% 29.00/29.22 cnf(matrix-1295, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u695), hAPP(c_Nat_OSuc, _u696)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u695), _u696))) )).
% 29.00/29.22 cnf(matrix-1296, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u697)), _u698) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u697), _u698))) )).
% 29.00/29.22 cnf(matrix-1297, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u699)), _u700) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u699), hAPP(c_Nat_OSuc, _u700))) )).
% 29.00/29.22 cnf(matrix-1298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u701), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1299, plain, ( ( _u703 = 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)), _u703)) )).
% 29.00/29.22 cnf(matrix-1300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u704)) | ( _u704 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1301, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u705), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1302, plain, ( ( _u707 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u706), _u707)) )).
% 29.00/29.22 cnf(matrix-1303, plain, ( ( _u708 = 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)), _u708)) )).
% 29.00/29.22 cnf(matrix-1304, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u711), _u713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u713), hAPP(c_Nat_OSuc, _u711))) )).
% 29.00/29.22 cnf(matrix-1305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u714), hAPP(c_Nat_OSuc, _u712))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u712), _u714)) )).
% 29.00/29.22 cnf(matrix-1306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u717), hAPP(c_Nat_OSuc, _u719))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u717), _u719)) | ( _u717 = _u719) )).
% 29.00/29.22 cnf(matrix-1307, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u718), hAPP(c_Nat_OSuc, _u720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u718), _u720)) )).
% 29.00/29.22 cnf(matrix-1308, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u718), hAPP(c_Nat_OSuc, _u720))) | ( _u718 != _u720) )).
% 29.00/29.22 cnf(matrix-1309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u723)), hAPP(c_Nat_OSuc, _u725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u723), _u725)) )).
% 29.00/29.22 cnf(matrix-1310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u724), _u726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u724)), hAPP(c_Nat_OSuc, _u726))) )).
% 29.00/29.22 cnf(matrix-1311, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), _u728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), hAPP(c_Nat_OSuc, _u728))) | ( _u727 = _u728) )).
% 29.00/29.22 cnf(matrix-1312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), _u728)) | ( _u727 != _u728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u727), hAPP(c_Nat_OSuc, _u728))) )).
% 29.00/29.22 cnf(matrix-1313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u729), _u730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u729), hAPP(c_Nat_OSuc, _u730))) | ( _u730 = _u729) )).
% 29.00/29.22 cnf(matrix-1314, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u731), _u732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u731), hAPP(c_Nat_OSuc, _u732))) )).
% 29.00/29.22 cnf(matrix-1315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u733), _u734)) | ( hAPP(c_Nat_OSuc, _u733) = _u734) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u733)), _u734)) )).
% 29.00/29.22 cnf(matrix-1316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u735), _u736)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u736), _u737)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u735)), _u737)) )).
% 29.00/29.22 cnf(matrix-1317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u738), hAPP(c_Nat_OSuc, _u739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u738), _u739)) | ( _u738 = _u739) )).
% 29.00/29.22 cnf(matrix-1318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u740)), _u741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u740), _u741)) )).
% 29.00/29.22 cnf(matrix-1319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u742)), hAPP(c_Nat_OSuc, _u743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u742), _u743)) )).
% 29.00/29.22 cnf(matrix-1320, plain, ( ( c_Com_Ocom_OAss(_u744, _u745) != hAPP(c_Com_Ocom_OBODY, _u746)) )).
% 29.00/29.22 cnf(matrix-1321, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u747) != c_Com_Ocom_OAss(_u748, _u749)) )).
% 29.00/29.22 cnf(matrix-1322, plain, ( ( c_Com_Ocom_OCall(_u750, _u751, _u752) != hAPP(c_Com_Ocom_OBODY, _u753)) )).
% 29.00/29.22 cnf(matrix-1323, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u754) != c_Com_Ocom_OCall(_u755, _u756, _u757)) )).
% 29.00/29.22 cnf(matrix-1324, plain, ( ( c_Com_Ocom_OAss(_u758, _u759) != c_Com_Ocom_OSemi(_u760, _u761)) )).
% 29.00/29.22 cnf(matrix-1325, plain, ( ( c_Com_Ocom_OSemi(_u762, _u763) != c_Com_Ocom_OAss(_u764, _u765)) )).
% 29.00/29.22 cnf(matrix-1326, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u766, _u767)) )).
% 29.00/29.22 cnf(matrix-1327, plain, ( ( c_Com_Ocom_OAss(_u768, _u769) != c_Com_Ocom_OSKIP) )).
% 29.00/29.22 cnf(matrix-1328, plain, ( ( c_Com_Ocom_OSemi(_u770, _u771) != c_Com_Ocom_OCall(_u772, _u773, _u774)) )).
% 29.00/29.22 cnf(matrix-1329, plain, ( ( c_Com_Ocom_OCall(_u775, _u776, _u777) != c_Com_Ocom_OSemi(_u778, _u779)) )).
% 29.00/29.22 cnf(matrix-1330, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(_u780, _u781, _u782)) )).
% 29.00/29.22 cnf(matrix-1331, plain, ( ( c_Com_Ocom_OCall(_u783, _u784, _u785) != c_Com_Ocom_OSKIP) )).
% 29.00/29.22 cnf(matrix-1332, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u788), _u790) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u788 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1333, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u788), _u790) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u788 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u790 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1334, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u788), _u790) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u790 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1335, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u788), _u790) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u790 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u790 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1336, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u789), _u791) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u789 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u791 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1337, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u789), _u791) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u789 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u791 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1338, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u794), _u796)) | ( _u794 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u794 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1339, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u794), _u796)) | ( _u794 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u796 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1340, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u794), _u796)) | ( _u796 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u794 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1341, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u794), _u796)) | ( _u796 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u796 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1342, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u795), _u797)) | ( _u795 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u797 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1343, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u795), _u797)) | ( _u795 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u797 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u802), hAPP(c_Nat_OSuc, _u804))) | ( _u802 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u802 = hAPP(c_Nat_OSuc, skolem24(_u804, _u802))) )).
% 29.00/29.22 cnf(matrix-1345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u802), hAPP(c_Nat_OSuc, _u804))) | ( _u802 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem24(_u804, _u802)), _u804)) )).
% 29.00/29.22 cnf(matrix-1346, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u803), hAPP(c_Nat_OSuc, _u805))) | ( _u803 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1347, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u803), hAPP(c_Nat_OSuc, _u805))) | ( _u803 != hAPP(c_Nat_OSuc, _u799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u799), _u805)) )).
% 29.00/29.22 cnf(matrix-1348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u807), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u807 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1349, plain, ( ( _u808 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u808), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u812)) | ( _u812 = hAPP(c_Nat_OSuc, skolem25(_u812))) )).
% 29.00/29.22 cnf(matrix-1351, plain, ( ( _u813 != hAPP(c_Nat_OSuc, _u810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u813)) )).
% 29.00/29.22 cnf(matrix-1352, plain, ( ( c_Nat_Onat_Onat__case(_u814, _u815, _u816, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u815) )).
% 29.00/29.22 cnf(matrix-1353, plain, ( ~class_Rings_Olinordered__idom(_u817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u817), _u818), _u818)), c_Groups_Ozero__class_Ozero(_u817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), _u818), c_Groups_Ozero__class_Ozero(_u817))) )).
% 29.00/29.22 cnf(matrix-1354, plain, ( ~class_Rings_Olinordered__idom(_u817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), _u818), c_Groups_Ozero__class_Ozero(_u817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u817), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u817), _u818), _u818)), c_Groups_Ozero__class_Ozero(_u817))) )).
% 29.00/29.22 cnf(matrix-1355, plain, ( ~class_Rings_Olinordered__semidom(_u819) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u819), c_Groups_Ozero__class_Ozero(_u819)), _u820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u819), _u821), _u822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u819), _u821), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u819), _u820), _u822))) )).
% 29.00/29.22 cnf(matrix-1356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u823), _u824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u823), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u824), _u825))) )).
% 29.00/29.22 cnf(matrix-1357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u826), _u827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u826), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u828), _u827))) )).
% 29.00/29.22 cnf(matrix-1358, plain, ( ~class_Rings_Ocomm__semiring__1(_u829) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u829), c_Groups_Ozero__class_Ozero(_u829)), _u830) = _u830) )).
% 29.00/29.22 cnf(matrix-1359, plain, ( ~class_Rings_Ocomm__semiring__1(_u831) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u831), _u832), c_Groups_Ozero__class_Ozero(_u831)) = _u832) )).
% 29.00/29.22 cnf(matrix-1360, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u833) | ( _u834 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u833), _u834), _u835)) | ( _u835 = c_Groups_Ozero__class_Ozero(_u833)) )).
% 29.00/29.22 cnf(matrix-1361, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u833) | ( _u835 != c_Groups_Ozero__class_Ozero(_u833)) | ( _u834 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u833), _u834), _u835)) )).
% 29.00/29.22 cnf(matrix-1362, plain, ( ~class_Groups_Olinordered__ab__group__add(_u836) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u836), _u837), _u837) != c_Groups_Ozero__class_Ozero(_u836)) | ( _u837 = c_Groups_Ozero__class_Ozero(_u836)) )).
% 29.00/29.22 cnf(matrix-1363, plain, ( ~class_Groups_Olinordered__ab__group__add(_u836) | ( _u837 != c_Groups_Ozero__class_Ozero(_u836)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u836), _u837), _u837) = c_Groups_Ozero__class_Ozero(_u836)) )).
% 29.00/29.22 cnf(matrix-1364, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u838, _u839, _u840)) = 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(_u839)), c_Com_Ocom_Ocom__size(_u840))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1365, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u841, _u842, _u843)) = 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), _u842)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u843))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1366, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u844, _u845, _u846)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u846)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1367, plain, ( hBOOL(hAPP(_u847, _u848)) | ~c_Natural_Oevaln(_u849, _u848, _u850, _u851) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u847, _u852, _u849), _u848, _u850, _u851) )).
% 29.00/29.22 cnf(matrix-1368, plain, ( ~hBOOL(hAPP(_u853, _u854)) | ~c_Natural_Oevaln(_u855, _u854, _u856, _u857) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u853, _u855, _u858), _u854, _u856, _u857) )).
% 29.00/29.22 cnf(matrix-1369, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u859, _u860, _u861), _u862, _u863, _u864) | hBOOL(hAPP(_u859, _u862)) | c_Natural_Oevaln(_u861, _u862, _u863, _u864) )).
% 29.00/29.22 cnf(matrix-1370, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u859, _u860, _u861), _u862, _u863, _u864) | c_Natural_Oevaln(_u860, _u862, _u863, _u864) | ~hBOOL(hAPP(_u859, _u862)) )).
% 29.00/29.22 cnf(matrix-1371, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u859, _u860, _u861), _u862, _u863, _u864) | c_Natural_Oevaln(_u860, _u862, _u863, _u864) | c_Natural_Oevaln(_u861, _u862, _u863, _u864) )).
% 29.00/29.22 cnf(matrix-1372, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u865, _u866, _u867)), _u868), _u869)) | hBOOL(hAPP(_u865, _u868)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u867), _u868), _u869)) )).
% 29.00/29.22 cnf(matrix-1373, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u865, _u866, _u867)), _u868), _u869)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u866), _u868), _u869)) | ~hBOOL(hAPP(_u865, _u868)) )).
% 29.00/29.22 cnf(matrix-1374, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u865, _u866, _u867)), _u868), _u869)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u866), _u868), _u869)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u867), _u868), _u869)) )).
% 29.00/29.22 cnf(matrix-1375, plain, ( ~hBOOL(hAPP(_u870, _u871)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u872), _u871), _u873)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u870, _u872, _u874)), _u871), _u873)) )).
% 29.00/29.22 cnf(matrix-1376, plain, ( hBOOL(hAPP(_u875, _u876)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u877), _u876), _u878)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u875, _u879, _u877)), _u876), _u878)) )).
% 29.00/29.22 cnf(matrix-1377, plain, ( ( c_Com_Ocom_OCond(_u880, _u881, _u882) != c_Com_Ocom_OLocal(_u883, _u884, _u885)) )).
% 29.00/29.22 cnf(matrix-1378, plain, ( ( c_Com_Ocom_OLocal(_u886, _u887, _u888) != c_Com_Ocom_OCond(_u889, _u890, _u891)) )).
% 29.00/29.22 cnf(matrix-1379, plain, ( ( c_Com_Ocom_OCond(_u898, _u900, _u902) != c_Com_Ocom_OCond(_u904, _u906, _u908)) | ( _u898 = _u904) )).
% 29.00/29.22 cnf(matrix-1380, plain, ( ( c_Com_Ocom_OCond(_u898, _u900, _u902) != c_Com_Ocom_OCond(_u904, _u906, _u908)) | ( _u900 = _u906) )).
% 29.00/29.22 cnf(matrix-1381, plain, ( ( c_Com_Ocom_OCond(_u898, _u900, _u902) != c_Com_Ocom_OCond(_u904, _u906, _u908)) | ( _u902 = _u908) )).
% 29.00/29.22 cnf(matrix-1382, plain, ( ( _u899 != _u905) | ( _u901 != _u907) | ( _u903 != _u909) | ( c_Com_Ocom_OCond(_u899, _u901, _u903) = c_Com_Ocom_OCond(_u905, _u907, _u909)) )).
% 29.00/29.22 cnf(matrix-1383, plain, ( ( c_Com_Ocom_OLocal(_u916, _u918, _u920) != c_Com_Ocom_OLocal(_u922, _u924, _u926)) | ( _u916 = _u922) )).
% 29.00/29.22 cnf(matrix-1384, plain, ( ( c_Com_Ocom_OLocal(_u916, _u918, _u920) != c_Com_Ocom_OLocal(_u922, _u924, _u926)) | ( _u918 = _u924) )).
% 29.00/29.22 cnf(matrix-1385, plain, ( ( c_Com_Ocom_OLocal(_u916, _u918, _u920) != c_Com_Ocom_OLocal(_u922, _u924, _u926)) | ( _u920 = _u926) )).
% 29.00/29.22 cnf(matrix-1386, plain, ( ( _u917 != _u923) | ( _u919 != _u925) | ( _u921 != _u927) | ( c_Com_Ocom_OLocal(_u917, _u919, _u921) = c_Com_Ocom_OLocal(_u923, _u925, _u927)) )).
% 29.00/29.22 cnf(matrix-1387, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u928, tc_HOL_Obool)), _u929), c_Orderings_Obot__class_Obot(tc_fun(_u928, tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(matrix-1388, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u936, _u938, _u940), _u942, _u944, _u946) | hBOOL(hAPP(_u936, _u942)) | c_Natural_Oevaln(_u940, _u942, _u944, _u946) )).
% 29.00/29.22 cnf(matrix-1389, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u936, _u938, _u940), _u942, _u944, _u946) | c_Natural_Oevaln(_u938, _u942, _u944, _u946) | ~hBOOL(hAPP(_u936, _u942)) )).
% 29.00/29.22 cnf(matrix-1390, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u936, _u938, _u940), _u942, _u944, _u946) | c_Natural_Oevaln(_u938, _u942, _u944, _u946) | c_Natural_Oevaln(_u940, _u942, _u944, _u946) )).
% 29.00/29.22 cnf(matrix-1391, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u937, _u939, _u941), _u943, _u945, _u947) | ~hBOOL(hAPP(_u937, _u943)) | ~c_Natural_Oevaln(_u939, _u943, _u945, _u947) )).
% 29.00/29.22 cnf(matrix-1392, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u937, _u939, _u941), _u943, _u945, _u947) | hBOOL(hAPP(_u937, _u943)) | ~c_Natural_Oevaln(_u941, _u943, _u945, _u947) )).
% 29.00/29.22 cnf(matrix-1393, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u954, _u956, _u958), _u960, _u962, _u964) | hBOOL(hAPP(_u954, _u960)) | c_Natural_Oevaln(_u958, _u960, _u962, _u964) )).
% 29.00/29.22 cnf(matrix-1394, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u954, _u956, _u958), _u960, _u962, _u964) | c_Natural_Oevaln(_u956, _u960, _u962, _u964) | ~hBOOL(hAPP(_u954, _u960)) )).
% 29.00/29.22 cnf(matrix-1395, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u954, _u956, _u958), _u960, _u962, _u964) | c_Natural_Oevaln(_u956, _u960, _u962, _u964) | c_Natural_Oevaln(_u958, _u960, _u962, _u964) )).
% 29.00/29.22 cnf(matrix-1396, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u955, _u957, _u959), _u961, _u963, _u965) | ~hBOOL(hAPP(_u955, _u961)) | ~c_Natural_Oevaln(_u957, _u961, _u963, _u965) )).
% 29.00/29.22 cnf(matrix-1397, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u955, _u957, _u959), _u961, _u963, _u965) | hBOOL(hAPP(_u955, _u961)) | ~c_Natural_Oevaln(_u959, _u961, _u963, _u965) )).
% 29.00/29.22 cnf(matrix-1398, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u966) != c_Com_Ocom_OLocal(_u967, _u968, _u969)) )).
% 29.00/29.22 cnf(matrix-1399, plain, ( ( c_Com_Ocom_OLocal(_u970, _u971, _u972) != hAPP(c_Com_Ocom_OBODY, _u973)) )).
% 29.00/29.22 cnf(matrix-1400, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u979, _u981, _u983)), _u985), _u987)) | hBOOL(hAPP(_u979, _u985)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u983), _u985), _u987)) )).
% 29.00/29.22 cnf(matrix-1401, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u979, _u981, _u983)), _u985), _u987)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u981), _u985), _u987)) | ~hBOOL(hAPP(_u979, _u985)) )).
% 29.00/29.22 cnf(matrix-1402, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u979, _u981, _u983)), _u985), _u987)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u981), _u985), _u987)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u983), _u985), _u987)) )).
% 29.00/29.22 cnf(matrix-1403, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u980, _u982, _u984)), _u986), _u988)) | ~hBOOL(hAPP(_u980, _u986)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u982), _u986), _u988)) )).
% 29.00/29.22 cnf(matrix-1404, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u980, _u982, _u984)), _u986), _u988)) | hBOOL(hAPP(_u980, _u986)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u984), _u986), _u988)) )).
% 29.00/29.22 cnf(matrix-1405, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u994, _u996, _u998)), _u1000), _u1002)) | hBOOL(hAPP(_u994, _u1000)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u998), _u1000), _u1002)) )).
% 29.00/29.22 cnf(matrix-1406, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u994, _u996, _u998)), _u1000), _u1002)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u996), _u1000), _u1002)) | ~hBOOL(hAPP(_u994, _u1000)) )).
% 29.00/29.22 cnf(matrix-1407, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u994, _u996, _u998)), _u1000), _u1002)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u996), _u1000), _u1002)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u998), _u1000), _u1002)) )).
% 29.00/29.22 cnf(matrix-1408, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u995, _u997, _u999)), _u1001), _u1003)) | ~hBOOL(hAPP(_u995, _u1001)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u997), _u1001), _u1003)) )).
% 29.00/29.22 cnf(matrix-1409, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u995, _u997, _u999)), _u1001), _u1003)) | hBOOL(hAPP(_u995, _u1001)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u999), _u1001), _u1003)) )).
% 29.00/29.22 cnf(matrix-1410, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u1004) != c_Com_Ocom_OCond(_u1005, _u1006, _u1007)) )).
% 29.00/29.22 cnf(matrix-1411, plain, ( ( c_Com_Ocom_OCond(_u1008, _u1009, _u1010) != hAPP(c_Com_Ocom_OBODY, _u1011)) )).
% 29.00/29.22 cnf(matrix-1412, plain, ( ( c_Com_Ocom_OAss(_u1012, _u1013) != c_Com_Ocom_OLocal(_u1014, _u1015, _u1016)) )).
% 29.00/29.22 cnf(matrix-1413, plain, ( ( c_Com_Ocom_OLocal(_u1017, _u1018, _u1019) != c_Com_Ocom_OAss(_u1020, _u1021)) )).
% 29.00/29.22 cnf(matrix-1414, plain, ( ( c_Com_Ocom_OLocal(_u1022, _u1023, _u1024) != c_Com_Ocom_OSemi(_u1025, _u1026)) )).
% 29.00/29.22 cnf(matrix-1415, plain, ( ( c_Com_Ocom_OSemi(_u1027, _u1028) != c_Com_Ocom_OLocal(_u1029, _u1030, _u1031)) )).
% 29.00/29.22 cnf(matrix-1416, plain, ( ( c_Com_Ocom_OCall(_u1032, _u1033, _u1034) != c_Com_Ocom_OLocal(_u1035, _u1036, _u1037)) )).
% 29.00/29.22 cnf(matrix-1417, plain, ( ( c_Com_Ocom_OLocal(_u1038, _u1039, _u1040) != c_Com_Ocom_OCall(_u1041, _u1042, _u1043)) )).
% 29.00/29.22 cnf(matrix-1418, plain, ( ( c_Com_Ocom_OLocal(_u1044, _u1045, _u1046) != c_Com_Ocom_OSKIP) )).
% 29.00/29.22 cnf(matrix-1419, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u1047, _u1048, _u1049)) )).
% 29.00/29.22 cnf(matrix-1420, plain, ( ( c_Com_Ocom_OAss(_u1050, _u1051) != c_Com_Ocom_OCond(_u1052, _u1053, _u1054)) )).
% 29.00/29.22 cnf(matrix-1421, plain, ( ( c_Com_Ocom_OCond(_u1055, _u1056, _u1057) != c_Com_Ocom_OAss(_u1058, _u1059)) )).
% 29.00/29.22 cnf(matrix-1422, plain, ( ( c_Com_Ocom_OCond(_u1060, _u1061, _u1062) != c_Com_Ocom_OSemi(_u1063, _u1064)) )).
% 29.00/29.22 cnf(matrix-1423, plain, ( ( c_Com_Ocom_OSemi(_u1065, _u1066) != c_Com_Ocom_OCond(_u1067, _u1068, _u1069)) )).
% 29.00/29.22 cnf(matrix-1424, plain, ( ( c_Com_Ocom_OCall(_u1070, _u1071, _u1072) != c_Com_Ocom_OCond(_u1073, _u1074, _u1075)) )).
% 29.00/29.22 cnf(matrix-1425, plain, ( ( c_Com_Ocom_OCond(_u1076, _u1077, _u1078) != c_Com_Ocom_OCall(_u1079, _u1080, _u1081)) )).
% 29.00/29.22 cnf(matrix-1426, plain, ( ( c_Com_Ocom_OCond(_u1082, _u1083, _u1084) != c_Com_Ocom_OSKIP) )).
% 29.00/29.22 cnf(matrix-1427, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u1085, _u1086, _u1087)) )).
% 29.00/29.22 cnf(matrix-1428, plain, ( ~class_Rings_Olinordered__idom(_u1088) | ( _u1089 = _u1090) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1088), _u1089), _u1090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1088), _u1090), _u1089)) )).
% 29.00/29.22 cnf(matrix-1429, plain, ( ~class_Rings_Ocomm__semiring__1(_u1091) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), _u1092), _u1093)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), _u1094), _u1095)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), _u1092), _u1094)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1091), _u1093), _u1095))) )).
% 29.00/29.22 cnf(matrix-1430, plain, ( ~class_Rings_Ocomm__semiring__1(_u1096) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1096), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1096), _u1097), _u1098)), _u1099) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1096), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1096), _u1097), _u1099)), _u1098)) )).
% 29.00/29.22 cnf(matrix-1431, plain, ( ~class_Rings_Ocomm__semiring__1(_u1100) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1101), _u1102)), _u1103) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1101), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1100), _u1102), _u1103))) )).
% 29.00/29.22 cnf(matrix-1432, plain, ( ~class_Rings_Ocomm__semiring__1(_u1104) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1106), _u1107)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1104), _u1105), _u1106)), _u1107)) )).
% 29.00/29.22 cnf(matrix-1433, plain, ( ~class_Rings_Ocomm__semiring__1(_u1108) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1109), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1110), _u1111)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1108), _u1109), _u1111))) )).
% 29.00/29.22 cnf(matrix-1434, plain, ( ~class_Rings_Ocomm__semiring__1(_u1112) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1113), _u1114) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1112), _u1114), _u1113)) )).
% 29.00/29.22 cnf(matrix-1435, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u1115, _u1116, _u1117)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1117)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1436, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u1118, _u1119)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u1119)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1437, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u1120, _u1121)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u1121)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1438, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u1122)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u1122)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1439, plain, ( ~class_Rings_Olinordered__semidom(_u1123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1123), c_Groups_Ozero__class_Ozero(_u1123)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1123), _u1124))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1124)) )).
% 29.00/29.22 cnf(matrix-1440, plain, ( ~class_Rings_Olinordered__semidom(_u1123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1123), c_Groups_Ozero__class_Ozero(_u1123)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1123), _u1124))) )).
% 29.00/29.22 cnf(matrix-1441, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1125)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1125)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.22 cnf(matrix-1442, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u1126, _u1127, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1126)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1126), c_Hoare__Mirabelle_Opeek__and(_u1126, _u1128, _u1129)), _u1130), _u1131)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1126), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u1126, _u1127, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1126)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1126), c_Hoare__Mirabelle_Opeek__and(_u1126, _u1128, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u1129))), _u1132), _u1131)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1126), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u1126, _u1127, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1126)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1126), _u1128), c_Com_Ocom_OCond(_u1129, _u1130, _u1132)), _u1131)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1126), tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(matrix-1443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1134), _u1135)) | ( _u1135 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1134), skolem26(_u1135, _u1134)))) )).
% 29.00/29.22 cnf(matrix-1444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1137), _u1138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem27(_u1138, _u1137))) )).
% 29.00/29.22 cnf(matrix-1445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1137), _u1138)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1137), skolem27(_u1138, _u1137)) = _u1138) )).
% 29.00/29.22 cnf(matrix-1446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1140)) | ( _u1140 = hAPP(c_Nat_OSuc, skolem28(_u1140))) )).
% 29.00/29.22 cnf(matrix-1447, plain, ( ~class_Orderings_Oorder(_u1142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1142), hAPP(_u1143, skolem29(_u1145, _u1144, _u1143, _u1142))), hAPP(_u1143, hAPP(c_Nat_OSuc, skolem29(_u1145, _u1144, _u1143, _u1142))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1144), _u1145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1142), hAPP(_u1143, _u1144)), hAPP(_u1143, _u1145))) )).
% 29.00/29.22 cnf(matrix-1448, plain, ( ~class_Orderings_Oorder(_u1147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1147), hAPP(_u1148, skolem30(_u1150, _u1149, _u1148, _u1147))), hAPP(_u1148, hAPP(c_Nat_OSuc, skolem30(_u1150, _u1149, _u1148, _u1147))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1147), hAPP(_u1148, _u1149)), hAPP(_u1148, _u1150))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1149), _u1150)) )).
% 29.00/29.22 cnf(matrix-1449, plain, ( ~class_Orderings_Oorder(_u1147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1147), hAPP(_u1148, skolem30(_u1150, _u1149, _u1148, _u1147))), hAPP(_u1148, hAPP(c_Nat_OSuc, skolem30(_u1150, _u1149, _u1148, _u1147))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1149), _u1150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1147), hAPP(_u1148, _u1149)), hAPP(_u1148, _u1150))) )).
% 29.00/29.22 cnf(matrix-1450, plain, ( ~hBOOL(hAPP(_u1151, _u1152)) | ~c_Natural_Oevaln(_u1153, _u1152, _u1154, _u1155) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1151, _u1153), _u1155, _u1154, _u1156) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1151, _u1153), _u1152, _u1154, _u1156) )).
% 29.00/29.22 cnf(matrix-1451, plain, ( hBOOL(hAPP(_u1157, _u1158)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1157, _u1159), _u1158, _u1160, _u1158) )).
% 29.00/29.22 cnf(matrix-1452, plain, ( hBOOL(hAPP(_u1161, _u1162)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1161, _u1163)), _u1162), _u1162)) )).
% 29.00/29.22 cnf(matrix-1453, plain, ( ~hBOOL(hAPP(_u1164, _u1165)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1166), _u1165), _u1167)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1164, _u1166)), _u1167), _u1168)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1164, _u1166)), _u1165), _u1168)) )).
% 29.00/29.22 cnf(matrix-1454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1169, tc_HOL_Obool)), _u1170), _u1171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1169, tc_HOL_Obool)), _u1171), _u1172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1169, tc_HOL_Obool)), _u1170), _u1172)) )).
% 29.00/29.22 cnf(matrix-1455, plain, ( ( hAPP(_u1173, hAPP(_u1174, _u1175)) != hAPP(_u1176, hAPP(_u1177, _u1178))) | ( hAPP(hAPP(c_Fun_Ocomp(_u1179, _u1180, _u1181, _u1173), _u1174), _u1175) = hAPP(hAPP(c_Fun_Ocomp(_u1182, _u1180, _u1183, _u1176), _u1177), _u1178)) )).
% 29.00/29.22 cnf(matrix-1456, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u1184) = _u1184) )).
% 29.00/29.22 cnf(matrix-1457, plain, ( ( c_Com_Ocom_OWhile(_u1189, _u1191) != c_Com_Ocom_OWhile(_u1193, _u1195)) | ( _u1189 = _u1193) )).
% 29.00/29.22 cnf(matrix-1458, plain, ( ( c_Com_Ocom_OWhile(_u1189, _u1191) != c_Com_Ocom_OWhile(_u1193, _u1195)) | ( _u1191 = _u1195) )).
% 29.00/29.22 cnf(matrix-1459, plain, ( ( _u1190 != _u1194) | ( _u1192 != _u1196) | ( c_Com_Ocom_OWhile(_u1190, _u1192) = c_Com_Ocom_OWhile(_u1194, _u1196)) )).
% 29.00/29.22 cnf(matrix-1460, plain, ( ~class_Nat_Osemiring__char__0(_u1197) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1197), _u1198) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1197), _u1199)) | ( _u1198 = _u1199) )).
% 29.00/29.22 cnf(matrix-1461, plain, ( ~class_Nat_Osemiring__char__0(_u1197) | ( _u1198 != _u1199) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1197), _u1198) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1197), _u1199)) )).
% 29.00/29.22 cnf(matrix-1462, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1201) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1201 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1463, plain, ( ( _u1202 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1202) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.22 cnf(matrix-1464, 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)) )).
% 29.00/29.22 cnf(matrix-1465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1207), _u1209)) | ( _u1209 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1207), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem31(_u1209, _u1207))))) )).
% 29.00/29.22 cnf(matrix-1466, plain, ( ( _u1210 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1208), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u1204)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1208), _u1210)) )).
% 29.00/29.22 cnf(matrix-1467, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1213)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1213), _u1215)) )).
% 29.00/29.22 cnf(matrix-1468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1214), _u1216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1214)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1216))) )).
% 29.00/29.22 cnf(matrix-1469, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1217)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1218)), _u1219)) = 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), _u1217), _u1218))), _u1219)) )).
% 29.00/29.22 cnf(matrix-1470, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1220)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1221)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1220), _u1221))) )).
% 29.00/29.22 cnf(matrix-1471, 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)) )).
% 29.00/29.22 cnf(matrix-1472, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ( _u1237 = _u1233) | hBOOL(hAPP(_u1229, _u1233)) )).
% 29.00/29.22 cnf(matrix-1473, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ( _u1237 = _u1233) | c_Natural_Oevaln(_u1231, _u1233, _u1235, skolem32(_u1237, _u1235, _u1233, _u1231, _u1229)) )).
% 29.00/29.22 cnf(matrix-1474, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ( _u1237 = _u1233) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), skolem32(_u1237, _u1235, _u1233, _u1231, _u1229), _u1235, _u1237) )).
% 29.00/29.22 cnf(matrix-1475, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ~hBOOL(hAPP(_u1229, _u1233)) | c_Natural_Oevaln(_u1231, _u1233, _u1235, skolem32(_u1237, _u1235, _u1233, _u1231, _u1229)) )).
% 29.00/29.22 cnf(matrix-1476, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), _u1233, _u1235, _u1237) | ~hBOOL(hAPP(_u1229, _u1233)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1229, _u1231), skolem32(_u1237, _u1235, _u1233, _u1231, _u1229), _u1235, _u1237) )).
% 29.00/29.22 cnf(matrix-1477, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1230, _u1232), _u1234, _u1236, _u1238) | ( _u1238 != _u1234) | hBOOL(hAPP(_u1230, _u1234)) )).
% 29.00/29.22 cnf(matrix-1478, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1230, _u1232), _u1234, _u1236, _u1238) | ~hBOOL(hAPP(_u1230, _u1234)) | ~c_Natural_Oevaln(_u1232, _u1234, _u1236, _u1223) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1230, _u1232), _u1223, _u1236, _u1238) )).
% 29.00/29.22 cnf(matrix-1479, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1245, _u1247), _u1249, _u1251, _u1249) | ~hBOOL(hAPP(_u1245, _u1249)) | c_Natural_Oevaln(_u1247, _u1249, _u1251, skolem33(_u1251, _u1249, _u1247, _u1245)) )).
% 29.00/29.22 cnf(matrix-1480, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1245, _u1247), _u1249, _u1251, _u1249) | ~hBOOL(hAPP(_u1245, _u1249)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1245, _u1247), skolem33(_u1251, _u1249, _u1247, _u1245), _u1251, _u1249) )).
% 29.00/29.22 cnf(matrix-1481, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1246, _u1248), _u1250, _u1252, _u1250) | hBOOL(hAPP(_u1246, _u1250)) )).
% 29.00/29.22 cnf(matrix-1482, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1246, _u1248), _u1250, _u1252, _u1250) | ~c_Natural_Oevaln(_u1248, _u1250, _u1252, _u1240) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1246, _u1248), _u1240, _u1252, _u1250) )).
% 29.00/29.22 cnf(matrix-1483, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1258, _u1260)), _u1262), _u1262)) | ~hBOOL(hAPP(_u1258, _u1262)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1260), _u1262), skolem34(_u1262, _u1260, _u1258))) )).
% 29.00/29.22 cnf(matrix-1484, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1258, _u1260)), _u1262), _u1262)) | ~hBOOL(hAPP(_u1258, _u1262)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1258, _u1260)), skolem34(_u1262, _u1260, _u1258)), _u1262)) )).
% 29.00/29.22 cnf(matrix-1485, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1259, _u1261)), _u1263), _u1263)) | hBOOL(hAPP(_u1259, _u1263)) )).
% 29.00/29.22 cnf(matrix-1486, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1259, _u1261)), _u1263), _u1263)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1261), _u1263), _u1254)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1259, _u1261)), _u1254), _u1263)) )).
% 29.00/29.22 cnf(matrix-1487, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ( _u1276 = _u1274) | hBOOL(hAPP(_u1270, _u1274)) )).
% 29.00/29.22 cnf(matrix-1488, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ( _u1276 = _u1274) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1272), _u1274), skolem35(_u1276, _u1274, _u1272, _u1270))) )).
% 29.00/29.22 cnf(matrix-1489, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ( _u1276 = _u1274) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), skolem35(_u1276, _u1274, _u1272, _u1270)), _u1276)) )).
% 29.00/29.22 cnf(matrix-1490, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ~hBOOL(hAPP(_u1270, _u1274)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1272), _u1274), skolem35(_u1276, _u1274, _u1272, _u1270))) )).
% 29.00/29.22 cnf(matrix-1491, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), _u1274), _u1276)) | ~hBOOL(hAPP(_u1270, _u1274)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1270, _u1272)), skolem35(_u1276, _u1274, _u1272, _u1270)), _u1276)) )).
% 29.00/29.22 cnf(matrix-1492, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1271, _u1273)), _u1275), _u1277)) | ( _u1277 != _u1275) | hBOOL(hAPP(_u1271, _u1275)) )).
% 29.00/29.22 cnf(matrix-1493, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1271, _u1273)), _u1275), _u1277)) | ~hBOOL(hAPP(_u1271, _u1275)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1273), _u1275), _u1265)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1271, _u1273)), _u1265), _u1277)) )).
% 29.00/29.22 cnf(matrix-1494, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1495, plain, ( ( c_Com_Ocom_OWhile(_u1278, _u1279) != hAPP(c_Com_Ocom_OBODY, _u1280)) )).
% 29.00/29.22 cnf(matrix-1496, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u1281) != c_Com_Ocom_OWhile(_u1282, _u1283)) )).
% 29.00/29.22 cnf(matrix-1497, plain, ( ( c_Com_Ocom_OCond(_u1284, _u1285, _u1286) != c_Com_Ocom_OWhile(_u1287, _u1288)) )).
% 29.00/29.22 cnf(matrix-1498, plain, ( ( c_Com_Ocom_OWhile(_u1289, _u1290) != c_Com_Ocom_OCond(_u1291, _u1292, _u1293)) )).
% 29.00/29.22 cnf(matrix-1499, plain, ( ( c_Com_Ocom_OWhile(_u1294, _u1295) != c_Com_Ocom_OAss(_u1296, _u1297)) )).
% 29.00/29.22 cnf(matrix-1500, plain, ( ( c_Com_Ocom_OAss(_u1298, _u1299) != c_Com_Ocom_OWhile(_u1300, _u1301)) )).
% 29.00/29.22 cnf(matrix-1501, plain, ( ( c_Com_Ocom_OCall(_u1302, _u1303, _u1304) != c_Com_Ocom_OWhile(_u1305, _u1306)) )).
% 29.00/29.22 cnf(matrix-1502, plain, ( ( c_Com_Ocom_OWhile(_u1307, _u1308) != c_Com_Ocom_OCall(_u1309, _u1310, _u1311)) )).
% 29.00/29.22 cnf(matrix-1503, plain, ( ( c_Com_Ocom_OSemi(_u1312, _u1313) != c_Com_Ocom_OWhile(_u1314, _u1315)) )).
% 29.00/29.22 cnf(matrix-1504, plain, ( ( c_Com_Ocom_OWhile(_u1316, _u1317) != c_Com_Ocom_OSemi(_u1318, _u1319)) )).
% 29.00/29.22 cnf(matrix-1505, plain, ( ( c_Com_Ocom_OLocal(_u1320, _u1321, _u1322) != c_Com_Ocom_OWhile(_u1323, _u1324)) )).
% 29.00/29.22 cnf(matrix-1506, plain, ( ( c_Com_Ocom_OWhile(_u1325, _u1326) != c_Com_Ocom_OLocal(_u1327, _u1328, _u1329)) )).
% 29.00/29.22 cnf(matrix-1507, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u1330, _u1331)) )).
% 29.00/29.22 cnf(matrix-1508, plain, ( ( c_Com_Ocom_OWhile(_u1332, _u1333) != c_Com_Ocom_OSKIP) )).
% 29.00/29.22 cnf(matrix-1509, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u1334, _u1335, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1334)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1334), c_Hoare__Mirabelle_Opeek__and(_u1334, _u1336, _u1337)), _u1338), _u1336)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1334), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u1334, _u1335, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1334)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1334), _u1336), c_Com_Ocom_OWhile(_u1337, _u1338)), c_Hoare__Mirabelle_Opeek__and(_u1334, _u1336, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u1337)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1334), tc_HOL_Obool)))) )).
% 29.00/29.22 cnf(matrix-1510, 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), _u1340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1340)) )).
% 29.00/29.22 cnf(matrix-1511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1341)) | 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), _u1341))) )).
% 29.00/29.22 cnf(matrix-1512, plain, ( ~class_Rings_Olinordered__semidom(_u1342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1342), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1342), _u1343)), c_Groups_Ozero__class_Ozero(_u1342))) )).
% 29.00/29.22 cnf(matrix-1513, plain, ( ~class_Rings_Osemiring__1(_u1344) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1344), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u1344)) )).
% 29.00/29.22 cnf(matrix-1514, plain, ( ~class_Rings_Olinordered__semidom(_u1345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1345), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1345), _u1346)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1345), _u1347))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1346), _u1347)) )).
% 29.00/29.22 cnf(matrix-1515, plain, ( ~class_Rings_Olinordered__semidom(_u1348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1349), _u1350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1348), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1348), _u1349)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1348), _u1350))) )).
% 29.00/29.22 cnf(matrix-1516, plain, ( ~class_Rings_Olinordered__semidom(_u1351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1351), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1351), _u1352)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1351), _u1353))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1352), _u1353)) )).
% 29.00/29.22 cnf(matrix-1517, plain, ( ~class_Rings_Olinordered__semidom(_u1351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1352), _u1353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1351), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1351), _u1352)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1351), _u1353))) )).
% 29.00/29.22 cnf(matrix-1518, plain, ( ~class_Rings_Osemiring__1(_u1354) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1354), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1355), _u1356)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1354), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1354), _u1355)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1354), _u1356))) )).
% 29.00/29.22 cnf(matrix-1519, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1520, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1521, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1522, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1523, plain, ( ( hAPP(c_Fun_Ocomp(_u1357, _u1358, _u1359, _u1360), hAPP(c_Fun_Ocomp(_u1361, _u1357, _u1359, _u1362), _u1363)) = hAPP(c_Fun_Ocomp(_u1361, _u1358, _u1359, hAPP(c_Fun_Ocomp(_u1357, _u1358, _u1361, _u1360), _u1362)), _u1363)) )).
% 29.00/29.22 cnf(matrix-1524, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u1364, _u1365, _u1366, _u1367), _u1368), _u1369) = hAPP(_u1367, hAPP(_u1368, _u1369))) )).
% 29.00/29.22 cnf(matrix-1525, plain, ( ( hAPP(_u1373, hAPP(_u1374, _u1376)) = hAPP(_u1375, _u1376)) | ( hAPP(c_Fun_Ocomp(_u1370, _u1371, _u1372, _u1373), _u1374) != _u1375) )).
% 29.00/29.22 cnf(matrix-1526, plain, ( ( hAPP(_u1380, hAPP(_u1381, _u1385)) = hAPP(_u1383, hAPP(_u1384, _u1385))) | ( hAPP(c_Fun_Ocomp(_u1377, _u1378, _u1379, _u1380), _u1381) != hAPP(c_Fun_Ocomp(_u1382, _u1378, _u1379, _u1383), _u1384)) )).
% 29.00/29.22 cnf(matrix-1527, plain, ( ( hAPP(_u1390, hAPP(_u1391, _u1386)) = hAPP(_u1393, hAPP(_u1394, _u1386))) | ( hAPP(c_Fun_Ocomp(_u1387, _u1388, _u1389, _u1390), _u1391) != hAPP(c_Fun_Ocomp(_u1392, _u1388, _u1389, _u1393), _u1394)) )).
% 29.00/29.22 cnf(matrix-1528, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1395)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1396)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1395), _u1396))) )).
% 29.00/29.22 cnf(matrix-1529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1399)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1399), _u1401)) )).
% 29.00/29.22 cnf(matrix-1530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1400), _u1402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1400)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1402))) )).
% 29.00/29.22 cnf(matrix-1531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1403)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.22 cnf(matrix-1532, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1404), _u1405)) | ( _u1404 = _u1405) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1405), _u1404)) )).
% 29.00/29.22 cnf(matrix-1533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1406), _u1407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1406), _u1408)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1407), _u1408))) )).
% 29.00/29.22 cnf(matrix-1534, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1411) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1413)) | ( _u1411 = _u1413) )).
% 29.00/29.22 cnf(matrix-1535, plain, ( ( _u1412 != _u1414) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1412) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1414)) )).
% 29.00/29.22 cnf(matrix-1536, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1417) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1419)) | ( _u1417 = _u1419) )).
% 29.00/29.22 cnf(matrix-1537, plain, ( ( _u1418 != _u1420) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1418) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1420)) )).
% 29.00/29.22 cnf(matrix-1538, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1421), _u1422)), _u1423) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1422), _u1423))) )).
% 29.00/29.22 cnf(matrix-1539, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1424), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1425), _u1426)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1424), _u1426))) )).
% 29.00/29.22 cnf(matrix-1540, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1427), _u1428) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1428), _u1427)) )).
% 29.00/29.22 cnf(matrix-1541, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1429), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1429) )).
% 29.00/29.22 cnf(matrix-1542, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1430) = _u1430) )).
% 29.00/29.22 cnf(matrix-1543, 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))) )).
% 29.00/29.22 cnf(matrix-1544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem36(_u1432))) )).
% 29.00/29.22 cnf(matrix-1545, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1432)) | ( _u1432 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem36(_u1432))) )).
% 29.00/29.22 cnf(matrix-1546, plain, ( ~class_Rings_Olinordered__idom(_u1433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), hAPP(c_Int_Oring__1__class_Oof__int(_u1433), _u1434)), c_Groups_Ozero__class_Ozero(_u1433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1434), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.22 cnf(matrix-1547, plain, ( ~class_Rings_Olinordered__idom(_u1433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1434), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1433), hAPP(c_Int_Oring__1__class_Oof__int(_u1433), _u1434)), c_Groups_Ozero__class_Ozero(_u1433))) )).
% 29.00/29.22 cnf(matrix-1548, plain, ( ~class_Rings_Olinordered__idom(_u1435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1435), c_Groups_Ozero__class_Ozero(_u1435)), hAPP(c_Int_Oring__1__class_Oof__int(_u1435), _u1436))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1436)) )).
% 29.00/29.22 cnf(matrix-1549, plain, ( ~class_Rings_Olinordered__idom(_u1435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1435), c_Groups_Ozero__class_Ozero(_u1435)), hAPP(c_Int_Oring__1__class_Oof__int(_u1435), _u1436))) )).
% 29.00/29.22 cnf(matrix-1550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1437), _u1438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1439)) | 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), _u1439)), _u1437)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1439)), _u1438))) )).
% 29.00/29.22 cnf(matrix-1551, 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, _u1440)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.22 cnf(matrix-1552, plain, ( ~hBOOL(hAPP(_u1445, hAPP(c_Int_Onat, _u1447))) | ( _u1447 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1441)) | hBOOL(hAPP(_u1445, _u1441)) )).
% 29.00/29.22 cnf(matrix-1553, plain, ( ~hBOOL(hAPP(_u1445, hAPP(c_Int_Onat, _u1447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u1445, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1554, plain, ( hBOOL(hAPP(_u1446, hAPP(c_Int_Onat, _u1448))) | ( _u1448 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem37(_u1448, _u1446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.22 cnf(matrix-1555, plain, ( hBOOL(hAPP(_u1446, hAPP(c_Int_Onat, _u1448))) | ( _u1448 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem37(_u1448, _u1446))) | ~hBOOL(hAPP(_u1446, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1556, plain, ( hBOOL(hAPP(_u1446, hAPP(c_Int_Onat, _u1448))) | ~hBOOL(hAPP(_u1446, skolem37(_u1448, _u1446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.22 cnf(matrix-1557, plain, ( hBOOL(hAPP(_u1446, hAPP(c_Int_Onat, _u1448))) | ~hBOOL(hAPP(_u1446, skolem37(_u1448, _u1446))) | ~hBOOL(hAPP(_u1446, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.22 cnf(matrix-1558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1450)) )).
% 29.00/29.22 cnf(matrix-1559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u1451))) )).
% 29.00/29.22 cnf(matrix-1560, 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, _u1452)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1453))) )).
% 29.00/29.22 cnf(matrix-1561, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u1454, _u1454), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u1455), _u1456)), _u1457) = hAPP(c_Fun_Ocomp(_u1454, _u1454, _u1454, hAPP(hAPP(c_Nat_Ocompow(_u1454, _u1454), _u1455), _u1457)), hAPP(hAPP(c_Nat_Ocompow(_u1454, _u1454), _u1456), _u1457))) )).
% 29.00/29.22 cnf(matrix-1562, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u1458, _u1458), hAPP(c_Nat_OSuc, _u1459)), _u1460) = hAPP(c_Fun_Ocomp(_u1458, _u1458, _u1458, _u1460), hAPP(hAPP(c_Nat_Ocompow(_u1458, _u1458), _u1459), _u1460))) )).
% 29.00/29.22 cnf(matrix-1563, plain, ( ~class_Rings_Oidom(_u1461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1462) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1463), _u1463)) | ( _u1462 = _u1463) | ( _u1462 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1461), _u1463)) )).
% 29.00/29.22 cnf(matrix-1564, plain, ( ~class_Rings_Oidom(_u1461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1462) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1463), _u1463)) | ( _u1462 != _u1463) )).
% 29.00/29.22 cnf(matrix-1565, plain, ( ~class_Rings_Oidom(_u1461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1462) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1463), _u1463)) | ( _u1462 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1461), _u1463)) )).
% 29.00/29.22 cnf(matrix-1566, plain, ( ~class_Rings_Ocomm__semiring__1(_u1464) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), _u1465), _u1466)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), _u1467), _u1468)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), _u1465), _u1467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1464), _u1466), _u1468))) )).
% 29.00/29.22 cnf(matrix-1567, plain, ( ~class_Rings_Ocomm__semiring__1(_u1469) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), _u1470), _u1471)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), _u1472), _u1473)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), _u1472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1469), _u1470), _u1471)), _u1473))) )).
% 29.00/29.22 cnf(matrix-1568, plain, ( ~class_Rings_Ocomm__semiring__1(_u1474) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1475), _u1476)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1477), _u1478)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1476), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1474), _u1477), _u1478)))) )).
% 29.00/29.22 cnf(matrix-1569, plain, ( ~class_Rings_Ocomm__semiring__1(_u1479) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), _u1480), _u1481)), _u1482) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), _u1480), _u1482)), _u1481)) )).
% 29.00/29.22 cnf(matrix-1570, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1483), _u1484)), _u1485) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1483), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1484), _u1485))) )).
% 29.00/29.22 cnf(matrix-1571, plain, ( ~class_Rings_Ocomm__semiring__1(_u1486) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1486), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1486), _u1487), _u1488)), _u1489) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1486), _u1487), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1486), _u1488), _u1489))) )).
% 29.00/29.22 cnf(matrix-1572, plain, ( ~class_Rings_Oring(_u1490) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1490), hAPP(c_Groups_Ouminus__class_Ouminus(_u1490), _u1491)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1490), _u1492)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1490), _u1491), _u1492)) )).
% 29.00/29.22 cnf(matrix-1573, plain, ( ~class_Int_Oring__char__0(_u1493) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1493), _u1494) != hAPP(c_Int_Oring__1__class_Oof__int(_u1493), _u1495)) | ( _u1494 = _u1495) )).
% 29.00/29.22 cnf(matrix-1574, plain, ( ~class_Int_Oring__char__0(_u1493) | ( _u1494 != _u1495) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1493), _u1494) = hAPP(c_Int_Oring__1__class_Oof__int(_u1493), _u1495)) )).
% 29.00/29.22 cnf(matrix-1575, plain, ( ~class_Rings_Oring(_u1496) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1496), hAPP(c_Groups_Ouminus__class_Ouminus(_u1496), _u1497)), _u1498) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1496), _u1497), hAPP(c_Groups_Ouminus__class_Ouminus(_u1496), _u1498))) )).
% 29.00/29.22 cnf(matrix-1576, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1499)), _u1500) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1499), _u1500))) )).
% 29.00/29.22 cnf(matrix-1577, plain, ( ~class_Rings_Ocomm__semiring__1(_u1501) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1501), _u1502), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1501), _u1503), _u1504)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1501), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1501), _u1502), _u1503)), _u1504)) )).
% 29.00/29.22 cnf(matrix-1578, plain, ( ~class_Rings_Ocomm__semiring__1(_u1505) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1505), _u1506), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1505), _u1507), _u1508)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1505), _u1507), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1505), _u1506), _u1508))) )).
% 29.00/29.22 cnf(matrix-1579, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1509), _u1510) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1510), _u1509)) )).
% 29.00/29.22 cnf(matrix-1580, plain, ( ~class_Rings_Ocomm__semiring__1(_u1511) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1511), _u1512), _u1513) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1511), _u1513), _u1512)) )).
% 29.00/29.22 cnf(matrix-1581, plain, ( ~class_Rings_Oring__1(_u1514) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1514), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1515), _u1516)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1514), hAPP(c_Int_Oring__1__class_Oof__int(_u1514), _u1515)), hAPP(c_Int_Oring__1__class_Oof__int(_u1514), _u1516))) )).
% 29.00/29.22 cnf(matrix-1582, plain, ( ~class_Rings_Oring(_u1517) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1517), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1517), _u1518), _u1519)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1517), hAPP(c_Groups_Ouminus__class_Ouminus(_u1517), _u1518)), _u1519)) )).
% 29.00/29.22 cnf(matrix-1583, plain, ( ~class_Rings_Oring(_u1520) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1520), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1520), _u1521), _u1522)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1520), _u1521), hAPP(c_Groups_Ouminus__class_Ouminus(_u1520), _u1522))) )).
% 29.00/29.22 cnf(matrix-1584, plain, ( ~class_Rings_Oring__1(_u1523) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1523), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1524)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1523), hAPP(c_Int_Oring__1__class_Oof__int(_u1523), _u1524))) )).
% 29.00/29.22 cnf(matrix-1585, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1525)) = _u1525) )).
% 29.00/29.22 cnf(matrix-1586, plain, ( ~class_Groups_Oab__semigroup__mult(_u1526) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1526), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1526), _u1527), _u1528)), _u1529) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1526), _u1527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1526), _u1528), _u1529))) )).
% 29.00/29.22 cnf(matrix-1587, plain, ( ~class_Groups_Ogroup__add(_u1530) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1530), _u1531) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1530), _u1532)) | ( _u1531 = _u1532) )).
% 29.00/29.22 cnf(matrix-1588, plain, ( ~class_Groups_Ogroup__add(_u1530) | ( _u1531 != _u1532) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1530), _u1531) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1530), _u1532)) )).
% 29.00/29.22 cnf(matrix-1589, plain, ( ~class_Groups_Ogroup__add(_u1533) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1533), _u1534) != _u1535) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1533), _u1535) = _u1534) )).
% 29.00/29.22 cnf(matrix-1590, plain, ( ~class_Groups_Ogroup__add(_u1533) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1533), _u1535) != _u1534) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1533), _u1534) = _u1535) )).
% 29.00/29.22 cnf(matrix-1591, plain, ( ~class_Groups_Ogroup__add(_u1536) | ( _u1537 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1536), _u1538)) | ( _u1538 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1536), _u1537)) )).
% 29.00/29.22 cnf(matrix-1592, plain, ( ~class_Groups_Ogroup__add(_u1536) | ( _u1538 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1536), _u1537)) | ( _u1537 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1536), _u1538)) )).
% 29.00/29.22 cnf(matrix-1593, plain, ( ~class_Groups_Ogroup__add(_u1539) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1539), hAPP(c_Groups_Ouminus__class_Ouminus(_u1539), _u1540)) = _u1540) )).
% 29.00/29.22 cnf(matrix-1594, plain, ( ( hAPP(_u1541, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u1542, _u1542), _u1543), _u1541), _u1544)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u1542, _u1542), _u1543), _u1541), hAPP(_u1541, _u1544))) )).
% 29.00/29.22 cnf(matrix-1595, plain, ( ~class_Rings_Osemiring__1(_u1545) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1545), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1546), _u1547)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1545), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1545), _u1546)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1545), _u1547))) )).
% 29.00/29.22 cnf(matrix-1596, plain, ( ~class_Rings_Oring__1(_u1548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1548), _u1549) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1548), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1548), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1549))))) )).
% 29.00/29.22 cnf(matrix-1597, plain, ( ~class_Rings_Oring__1(_u1548) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1548), _u1549) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1548), hAPP(c_Int_Onat, _u1549))) )).
% 29.00/29.22 cnf(matrix-1598, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u1550, _u1551), tc_fun(_u1550, _u1551)), _u1552), c_Fun_Ocomp(_u1551, _u1551, _u1550, _u1553)) = c_Fun_Ocomp(_u1551, _u1551, _u1550, hAPP(hAPP(c_Nat_Ocompow(_u1551, _u1551), _u1552), _u1553))) )).
% 29.00/29.22 cnf(matrix-1599, 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), _u1554))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1600, plain, ( ~class_Groups_Ogroup__add(_u1555) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1555), c_Groups_Ozero__class_Ozero(_u1555)) = c_Groups_Ozero__class_Ozero(_u1555)) )).
% 29.00/29.22 cnf(matrix-1601, plain, ( ~class_Groups_Ogroup__add(_u1556) | ( c_Groups_Ozero__class_Ozero(_u1556) != hAPP(c_Groups_Ouminus__class_Ouminus(_u1556), _u1557)) | ( c_Groups_Ozero__class_Ozero(_u1556) = _u1557) )).
% 29.00/29.22 cnf(matrix-1602, plain, ( ~class_Groups_Ogroup__add(_u1556) | ( c_Groups_Ozero__class_Ozero(_u1556) != _u1557) | ( c_Groups_Ozero__class_Ozero(_u1556) = hAPP(c_Groups_Ouminus__class_Ouminus(_u1556), _u1557)) )).
% 29.00/29.22 cnf(matrix-1603, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1558) | ( _u1559 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1558), _u1559)) | ( _u1559 = c_Groups_Ozero__class_Ozero(_u1558)) )).
% 29.00/29.22 cnf(matrix-1604, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1558) | ( _u1559 != c_Groups_Ozero__class_Ozero(_u1558)) | ( _u1559 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1558), _u1559)) )).
% 29.00/29.22 cnf(matrix-1605, plain, ( ~class_Groups_Ogroup__add(_u1560) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1560), _u1561) != c_Groups_Ozero__class_Ozero(_u1560)) | ( _u1561 = c_Groups_Ozero__class_Ozero(_u1560)) )).
% 29.00/29.22 cnf(matrix-1606, plain, ( ~class_Groups_Ogroup__add(_u1560) | ( _u1561 != c_Groups_Ozero__class_Ozero(_u1560)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1560), _u1561) = c_Groups_Ozero__class_Ozero(_u1560)) )).
% 29.00/29.22 cnf(matrix-1607, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1562) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1562), _u1563) != _u1563) | ( _u1563 = c_Groups_Ozero__class_Ozero(_u1562)) )).
% 29.00/29.22 cnf(matrix-1608, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1562) | ( _u1563 != c_Groups_Ozero__class_Ozero(_u1562)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1562), _u1563) = _u1563) )).
% 29.00/29.22 cnf(matrix-1609, plain, ( ~class_Groups_Oordered__ab__group__add(_u1564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1564), hAPP(c_Groups_Ouminus__class_Ouminus(_u1564), _u1565)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1564), _u1566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1564), _u1566), _u1565)) )).
% 29.00/29.22 cnf(matrix-1610, plain, ( ~class_Groups_Oordered__ab__group__add(_u1564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1564), _u1566), _u1565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1564), hAPP(c_Groups_Ouminus__class_Ouminus(_u1564), _u1565)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1564), _u1566))) )).
% 29.00/29.22 cnf(matrix-1611, plain, ( ~class_Groups_Oordered__ab__group__add(_u1567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1567), hAPP(c_Groups_Ouminus__class_Ouminus(_u1567), _u1568)), _u1569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1567), hAPP(c_Groups_Ouminus__class_Ouminus(_u1567), _u1569)), _u1568)) )).
% 29.00/29.22 cnf(matrix-1612, plain, ( ~class_Groups_Oordered__ab__group__add(_u1567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1567), hAPP(c_Groups_Ouminus__class_Ouminus(_u1567), _u1569)), _u1568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1567), hAPP(c_Groups_Ouminus__class_Ouminus(_u1567), _u1568)), _u1569)) )).
% 29.00/29.22 cnf(matrix-1613, plain, ( ~class_Groups_Oordered__ab__group__add(_u1570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), _u1571), hAPP(c_Groups_Ouminus__class_Ouminus(_u1570), _u1572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), _u1572), hAPP(c_Groups_Ouminus__class_Ouminus(_u1570), _u1571))) )).
% 29.00/29.22 cnf(matrix-1614, plain, ( ~class_Groups_Oordered__ab__group__add(_u1570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), _u1572), hAPP(c_Groups_Ouminus__class_Ouminus(_u1570), _u1571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1570), _u1571), hAPP(c_Groups_Ouminus__class_Ouminus(_u1570), _u1572))) )).
% 29.00/29.22 cnf(matrix-1615, plain, ( ~class_Groups_Ogroup__add(_u1573) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1573), hAPP(c_Groups_Ouminus__class_Ouminus(_u1573), _u1574)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1573), _u1574), _u1575)) = _u1575) )).
% 29.00/29.22 cnf(matrix-1616, plain, ( ~class_Groups_Ogroup__add(_u1576) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1576), _u1577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1576), hAPP(c_Groups_Ouminus__class_Ouminus(_u1576), _u1577)), _u1578)) = _u1578) )).
% 29.00/29.22 cnf(matrix-1617, plain, ( ~class_Groups_Ogroup__add(_u1579) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1579), _u1580), _u1581)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1579), hAPP(c_Groups_Ouminus__class_Ouminus(_u1579), _u1581)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1579), _u1580))) )).
% 29.00/29.22 cnf(matrix-1618, plain, ( ~class_Groups_Oab__group__add(_u1582) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1582), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1582), _u1583), _u1584)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1582), hAPP(c_Groups_Ouminus__class_Ouminus(_u1582), _u1583)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1582), _u1584))) )).
% 29.00/29.22 cnf(matrix-1619, plain, ( ~class_Rings_Omult__zero(_u1585) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1585), c_Groups_Ozero__class_Ozero(_u1585)), _u1586) = c_Groups_Ozero__class_Ozero(_u1585)) )).
% 29.00/29.22 cnf(matrix-1620, plain, ( ~class_Rings_Ocomm__semiring__1(_u1587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1587), c_Groups_Ozero__class_Ozero(_u1587)), _u1588) = c_Groups_Ozero__class_Ozero(_u1587)) )).
% 29.00/29.22 cnf(matrix-1621, plain, ( ~class_Rings_Omult__zero(_u1589) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1589), _u1590), c_Groups_Ozero__class_Ozero(_u1589)) = c_Groups_Ozero__class_Ozero(_u1589)) )).
% 29.00/29.22 cnf(matrix-1622, plain, ( ~class_Rings_Ocomm__semiring__1(_u1591) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1591), _u1592), c_Groups_Ozero__class_Ozero(_u1591)) = c_Groups_Ozero__class_Ozero(_u1591)) )).
% 29.00/29.22 cnf(matrix-1623, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1593) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1593), _u1594), _u1595) != c_Groups_Ozero__class_Ozero(_u1593)) | ( _u1594 = c_Groups_Ozero__class_Ozero(_u1593)) | ( _u1595 = c_Groups_Ozero__class_Ozero(_u1593)) )).
% 29.00/29.22 cnf(matrix-1624, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1593) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1593), _u1594), _u1595) = c_Groups_Ozero__class_Ozero(_u1593)) | ( _u1594 != c_Groups_Ozero__class_Ozero(_u1593)) )).
% 29.00/29.22 cnf(matrix-1625, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1593) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1593), _u1594), _u1595) = c_Groups_Ozero__class_Ozero(_u1593)) | ( _u1595 != c_Groups_Ozero__class_Ozero(_u1593)) )).
% 29.00/29.22 cnf(matrix-1626, plain, ( ~class_Rings_Ono__zero__divisors(_u1596) | ( _u1597 = c_Groups_Ozero__class_Ozero(_u1596)) | ( _u1598 = c_Groups_Ozero__class_Ozero(_u1596)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1596), _u1597), _u1598) != c_Groups_Ozero__class_Ozero(_u1596)) )).
% 29.00/29.22 cnf(matrix-1627, plain, ( ~class_Rings_Ono__zero__divisors(_u1599) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1599), _u1600), _u1601) != c_Groups_Ozero__class_Ozero(_u1599)) | ( _u1600 = c_Groups_Ozero__class_Ozero(_u1599)) | ( _u1601 = c_Groups_Ozero__class_Ozero(_u1599)) )).
% 29.00/29.22 cnf(matrix-1628, 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)) )).
% 29.00/29.22 cnf(matrix-1629, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1602)) = _u1602) )).
% 29.00/29.22 cnf(matrix-1630, plain, ( ~class_Rings_Ocomm__semiring__1(_u1603) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1603), _u1605), _u1606)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), _u1605)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1603), _u1604), _u1606))) )).
% 29.00/29.22 cnf(matrix-1631, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1607) | ( _u1608 = _u1609) | ( _u1610 = _u1611) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1611)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1610))) )).
% 29.00/29.22 cnf(matrix-1632, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1607) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1611)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1610))) | ( _u1608 != _u1609) )).
% 29.00/29.22 cnf(matrix-1633, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1607) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1611)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1608), _u1611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1607), _u1609), _u1610))) | ( _u1610 != _u1611) )).
% 29.00/29.22 cnf(matrix-1634, plain, ( ~class_Rings_Ocomm__semiring(_u1612) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1612), _u1613), _u1614)), _u1615) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1612), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1613), _u1615)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1612), _u1614), _u1615))) )).
% 29.00/29.22 cnf(matrix-1635, plain, ( ~class_Rings_Ocomm__semiring__1(_u1616) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1616), _u1617), _u1618)), _u1619) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1616), _u1617), _u1619)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1616), _u1618), _u1619))) )).
% 29.00/29.22 cnf(matrix-1636, plain, ( ~class_Rings_Ocomm__semiring__1(_u1620) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), _u1621), _u1622)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), _u1623), _u1622)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1620), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1620), _u1621), _u1623)), _u1622)) )).
% 29.00/29.22 cnf(matrix-1637, plain, ( ~class_Rings_Osemiring(_u1624) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1624), _u1625), _u1626)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1624), _u1627), _u1626)), _u1628)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1624), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1624), _u1625), _u1627)), _u1626)), _u1628)) )).
% 29.00/29.22 cnf(matrix-1638, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1629) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1633)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1631))) | ( _u1630 = _u1632) | ( _u1631 = _u1633) )).
% 29.00/29.22 cnf(matrix-1639, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1629) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1633)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1631))) | ( _u1630 != _u1632) )).
% 29.00/29.22 cnf(matrix-1640, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1629) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1633)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1630), _u1633)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1629), _u1632), _u1631))) | ( _u1631 != _u1633) )).
% 29.00/29.22 cnf(matrix-1641, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1634), _u1635)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1634)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1635))) )).
% 29.00/29.22 cnf(matrix-1642, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1636), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1637), _u1638)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1636), _u1637)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1636), _u1638))) )).
% 29.00/29.22 cnf(matrix-1643, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1639), _u1640)), _u1641) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1639), _u1641)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1640), _u1641))) )).
% 29.00/29.22 cnf(matrix-1644, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1642)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1642)) )).
% 29.00/29.22 cnf(matrix-1645, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), hAPP(c_Groups_Ouminus__class_Ouminus(_u1643), _u1644)), _u1644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), c_Groups_Ozero__class_Ozero(_u1643)), _u1644)) )).
% 29.00/29.22 cnf(matrix-1646, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), c_Groups_Ozero__class_Ozero(_u1643)), _u1644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), hAPP(c_Groups_Ouminus__class_Ouminus(_u1643), _u1644)), _u1644)) )).
% 29.00/29.22 cnf(matrix-1647, plain, ( ~class_Groups_Oordered__ab__group__add(_u1645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1645), hAPP(c_Groups_Ouminus__class_Ouminus(_u1645), _u1646)), c_Groups_Ozero__class_Ozero(_u1645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1645), c_Groups_Ozero__class_Ozero(_u1645)), _u1646)) )).
% 29.00/29.22 cnf(matrix-1648, plain, ( ~class_Groups_Oordered__ab__group__add(_u1645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1645), c_Groups_Ozero__class_Ozero(_u1645)), _u1646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1645), hAPP(c_Groups_Ouminus__class_Ouminus(_u1645), _u1646)), c_Groups_Ozero__class_Ozero(_u1645))) )).
% 29.00/29.22 cnf(matrix-1649, plain, ( ~class_Groups_Oordered__ab__group__add(_u1647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1647), c_Groups_Ozero__class_Ozero(_u1647)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1647), _u1648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1647), _u1648), c_Groups_Ozero__class_Ozero(_u1647))) )).
% 29.00/29.22 cnf(matrix-1650, plain, ( ~class_Groups_Oordered__ab__group__add(_u1647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1647), _u1648), c_Groups_Ozero__class_Ozero(_u1647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1647), c_Groups_Ozero__class_Ozero(_u1647)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1647), _u1648))) )).
% 29.00/29.22 cnf(matrix-1651, plain, ( ~class_Rings_Olinordered__idom(_u1649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), c_Groups_Ozero__class_Ozero(_u1649))) )).
% 29.00/29.22 cnf(matrix-1652, plain, ( ~class_Rings_Olinordered__idom(_u1649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), c_Groups_Ozero__class_Ozero(_u1649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), hAPP(c_Groups_Ouminus__class_Ouminus(_u1649), _u1650))) )).
% 29.00/29.22 cnf(matrix-1653, plain, ( ~class_Groups_Ogroup__add(_u1651) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1651), _u1652), _u1653) != c_Groups_Ozero__class_Ozero(_u1651)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1651), _u1652) = _u1653) )).
% 29.00/29.22 cnf(matrix-1654, plain, ( ~class_Groups_Oab__group__add(_u1654) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1654), hAPP(c_Groups_Ouminus__class_Ouminus(_u1654), _u1655)), _u1655) = c_Groups_Ozero__class_Ozero(_u1654)) )).
% 29.00/29.22 cnf(matrix-1655, plain, ( ~class_Groups_Ogroup__add(_u1656) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1656), hAPP(c_Groups_Ouminus__class_Ouminus(_u1656), _u1657)), _u1657) = c_Groups_Ozero__class_Ozero(_u1656)) )).
% 29.00/29.22 cnf(matrix-1656, plain, ( ~class_Groups_Ogroup__add(_u1658) | ( _u1659 != hAPP(c_Groups_Ouminus__class_Ouminus(_u1658), _u1660)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1658), _u1659), _u1660) = c_Groups_Ozero__class_Ozero(_u1658)) )).
% 29.00/29.22 cnf(matrix-1657, plain, ( ~class_Groups_Ogroup__add(_u1658) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1658), _u1659), _u1660) != c_Groups_Ozero__class_Ozero(_u1658)) | ( _u1659 = hAPP(c_Groups_Ouminus__class_Ouminus(_u1658), _u1660)) )).
% 29.00/29.22 cnf(matrix-1658, plain, ( ~class_Groups_Ogroup__add(_u1661) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1661), _u1662), hAPP(c_Groups_Ouminus__class_Ouminus(_u1661), _u1662)) = c_Groups_Ozero__class_Ozero(_u1661)) )).
% 29.00/29.22 cnf(matrix-1659, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1660, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.22 cnf(matrix-1661, plain, ( ~class_Rings_Olinordered__ring(_u1663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1663), _u1664), _u1664)), c_Groups_Ozero__class_Ozero(_u1663))) )).
% 29.00/29.22 cnf(matrix-1662, plain, ( ~class_Rings_Olinordered__ring__strict(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), c_Groups_Ozero__class_Ozero(_u1665)), _u1667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1667), c_Groups_Ozero__class_Ozero(_u1665))) )).
% 29.00/29.22 cnf(matrix-1663, plain, ( ~class_Rings_Olinordered__ring__strict(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), c_Groups_Ozero__class_Ozero(_u1665)), _u1667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1668), _u1666)) )).
% 29.00/29.22 cnf(matrix-1664, plain, ( ~class_Rings_Olinordered__ring__strict(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1667), c_Groups_Ozero__class_Ozero(_u1665))) )).
% 29.00/29.22 cnf(matrix-1665, plain, ( ~class_Rings_Olinordered__ring__strict(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1668), _u1666)) )).
% 29.00/29.22 cnf(matrix-1666, plain, ( ~class_Rings_Olinordered__ring__strict(_u1665) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), c_Groups_Ozero__class_Ozero(_u1665)), _u1667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1668)) )).
% 29.00/29.22 cnf(matrix-1667, plain, ( ~class_Rings_Olinordered__ring__strict(_u1665) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1666), _u1667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1665), _u1668), _u1667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1667), c_Groups_Ozero__class_Ozero(_u1665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1668), _u1666)) )).
% 29.00/29.22 cnf(matrix-1668, plain, ( ~class_Rings_Olinordered__ring__strict(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), c_Groups_Ozero__class_Ozero(_u1669)), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1670), c_Groups_Ozero__class_Ozero(_u1669))) )).
% 29.00/29.22 cnf(matrix-1669, plain, ( ~class_Rings_Olinordered__ring__strict(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), c_Groups_Ozero__class_Ozero(_u1669)), _u1670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1672), _u1671)) )).
% 29.00/29.22 cnf(matrix-1670, plain, ( ~class_Rings_Olinordered__ring__strict(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1671), _u1672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1670), c_Groups_Ozero__class_Ozero(_u1669))) )).
% 29.00/29.22 cnf(matrix-1671, plain, ( ~class_Rings_Olinordered__ring__strict(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1671), _u1672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1672), _u1671)) )).
% 29.00/29.22 cnf(matrix-1672, plain, ( ~class_Rings_Olinordered__ring__strict(_u1669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), c_Groups_Ozero__class_Ozero(_u1669)), _u1670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1671), _u1672)) )).
% 29.00/29.22 cnf(matrix-1673, plain, ( ~class_Rings_Olinordered__ring__strict(_u1669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1669), _u1670), _u1672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1670), c_Groups_Ozero__class_Ozero(_u1669))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1672), _u1671)) )).
% 29.00/29.22 cnf(matrix-1674, plain, ( ~class_Rings_Olinordered__ring__strict(_u1673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), c_Groups_Ozero__class_Ozero(_u1673)), _u1674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1673), _u1674), _u1675)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1673), _u1674), _u1676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1676)) )).
% 29.00/29.22 cnf(matrix-1675, plain, ( ~class_Rings_Olinordered__ring__strict(_u1673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), c_Groups_Ozero__class_Ozero(_u1673)), _u1674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1673), _u1674), _u1675)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1673), _u1674), _u1676))) )).
% 29.00/29.22 cnf(matrix-1676, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), c_Groups_Ozero__class_Ozero(_u1677)), _u1678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), c_Groups_Ozero__class_Ozero(_u1677)), _u1679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), c_Groups_Ozero__class_Ozero(_u1677)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1677), _u1678), _u1679))) )).
% 29.00/29.22 cnf(matrix-1677, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), c_Groups_Ozero__class_Ozero(_u1680)), _u1681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), _u1682), c_Groups_Ozero__class_Ozero(_u1680))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1680), _u1681), _u1682)), c_Groups_Ozero__class_Ozero(_u1680))) )).
% 29.00/29.22 cnf(matrix-1678, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1683), c_Groups_Ozero__class_Ozero(_u1683)), _u1684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1683), _u1685), c_Groups_Ozero__class_Ozero(_u1683))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1683), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1683), _u1685), _u1684)), c_Groups_Ozero__class_Ozero(_u1683))) )).
% 29.00/29.22 cnf(matrix-1679, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), c_Groups_Ozero__class_Ozero(_u1686)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1686), _u1687), _u1688))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), c_Groups_Ozero__class_Ozero(_u1686)), _u1687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1686), c_Groups_Ozero__class_Ozero(_u1686)), _u1688)) )).
% 29.00/29.22 cnf(matrix-1680, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1689), c_Groups_Ozero__class_Ozero(_u1689)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1689), _u1690), _u1691))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1689), c_Groups_Ozero__class_Ozero(_u1689)), _u1691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1689), c_Groups_Ozero__class_Ozero(_u1689)), _u1690)) )).
% 29.00/29.22 cnf(matrix-1681, plain, ( ~class_Rings_Olinordered__ring__strict(_u1692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1693), c_Groups_Ozero__class_Ozero(_u1692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1692), _u1693), _u1694)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1692), _u1693), _u1695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1695), _u1694)) )).
% 29.00/29.22 cnf(matrix-1682, plain, ( ~class_Rings_Olinordered__ring__strict(_u1692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1693), c_Groups_Ozero__class_Ozero(_u1692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1695), _u1694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1692), _u1693), _u1694)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1692), _u1693), _u1695))) )).
% 29.00/29.22 cnf(matrix-1683, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), _u1697), c_Groups_Ozero__class_Ozero(_u1696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), c_Groups_Ozero__class_Ozero(_u1696)), _u1698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1696), _u1697), _u1698)), c_Groups_Ozero__class_Ozero(_u1696))) )).
% 29.00/29.22 cnf(matrix-1684, plain, ( ~class_Rings_Olinordered__ring__strict(_u1699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1699), _u1700), c_Groups_Ozero__class_Ozero(_u1699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1699), _u1701), c_Groups_Ozero__class_Ozero(_u1699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1699), c_Groups_Ozero__class_Ozero(_u1699)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1699), _u1700), _u1701))) )).
% 29.00/29.22 cnf(matrix-1685, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1702) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1702), _u1703), _u1704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1702), c_Groups_Ozero__class_Ozero(_u1702)), _u1705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1702), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1702), _u1703), _u1705)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1702), _u1704), _u1705))) )).
% 29.00/29.22 cnf(matrix-1686, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), _u1707), _u1708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), c_Groups_Ozero__class_Ozero(_u1706)), _u1709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1706), _u1709), _u1707)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1706), _u1709), _u1708))) )).
% 29.00/29.22 cnf(matrix-1687, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u1710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1710), _u1711), _u1712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1710), c_Groups_Ozero__class_Ozero(_u1710)), _u1713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1710), _u1713), _u1711)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1710), _u1713), _u1712))) )).
% 29.00/29.22 cnf(matrix-1688, plain, ( ~class_Rings_Olinordered__ring__strict(_u1714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1714), _u1715), _u1716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1714), _u1717), c_Groups_Ozero__class_Ozero(_u1714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1714), _u1716), _u1717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1714), _u1715), _u1717))) )).
% 29.00/29.22 cnf(matrix-1689, plain, ( ~class_Rings_Olinordered__ring__strict(_u1718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1719), _u1720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1721), c_Groups_Ozero__class_Ozero(_u1718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1718), _u1721), _u1720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1718), _u1721), _u1719))) )).
% 29.00/29.22 cnf(matrix-1690, plain, ( ~class_Rings_Olinordered__ring__strict(_u1722) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1723), _u1723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1724), _u1724)) != c_Groups_Ozero__class_Ozero(_u1722)) | ( _u1723 = c_Groups_Ozero__class_Ozero(_u1722)) )).
% 29.00/29.22 cnf(matrix-1691, plain, ( ~class_Rings_Olinordered__ring__strict(_u1722) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1723), _u1723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1724), _u1724)) != c_Groups_Ozero__class_Ozero(_u1722)) | ( _u1724 = c_Groups_Ozero__class_Ozero(_u1722)) )).
% 29.00/29.22 cnf(matrix-1692, plain, ( ~class_Rings_Olinordered__ring__strict(_u1722) | ( _u1723 != c_Groups_Ozero__class_Ozero(_u1722)) | ( _u1724 != c_Groups_Ozero__class_Ozero(_u1722)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1723), _u1723)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1722), _u1724), _u1724)) = c_Groups_Ozero__class_Ozero(_u1722)) )).
% 29.00/29.22 cnf(matrix-1693, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1725) | ( _u1726 = c_Groups_Ozero__class_Ozero(_u1725)) | ( _u1727 != _u1728) | ( _u1729 = _u1730) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1725), _u1727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1725), _u1726), _u1729)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1725), _u1728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1725), _u1726), _u1730))) )).
% 29.00/29.22 cnf(matrix-1694, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u1731)), _u1731) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.22 cnf(matrix-1695, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1734)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1736)) | ( _u1734 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1696, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1734)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1736)) | ( _u1736 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1697, plain, ( ( _u1735 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1737 != 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), _u1735)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1737)) )).
% 29.00/29.22 cnf(matrix-1698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1738)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1739)))) )).
% 29.00/29.22 cnf(matrix-1699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1740), _u1741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1742), _u1740)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1742), _u1741))) )).
% 29.00/29.22 cnf(matrix-1700, plain, ( ~class_Rings_Oring__1(_u1743) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1743), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u1743)) )).
% 29.00/29.22 cnf(matrix-1701, plain, ( ~class_Int_Oring__char__0(_u1744) | ( c_Groups_Ozero__class_Ozero(_u1744) != hAPP(c_Int_Oring__1__class_Oof__int(_u1744), _u1745)) | ( _u1745 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.22 cnf(matrix-1702, plain, ( ~class_Int_Oring__char__0(_u1744) | ( _u1745 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u1744) = hAPP(c_Int_Oring__1__class_Oof__int(_u1744), _u1745)) )).
% 29.00/29.22 cnf(matrix-1703, plain, ( ~class_Int_Oring__char__0(_u1746) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1746), _u1747) != c_Groups_Ozero__class_Ozero(_u1746)) | ( _u1747 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.22 cnf(matrix-1704, plain, ( ~class_Int_Oring__char__0(_u1746) | ( _u1747 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1746), _u1747) = c_Groups_Ozero__class_Ozero(_u1746)) )).
% 29.00/29.22 cnf(matrix-1705, plain, ( ~class_Rings_Olinordered__idom(_u1748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(c_Int_Oring__1__class_Oof__int(_u1748), _u1749)), hAPP(c_Int_Oring__1__class_Oof__int(_u1748), _u1750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1749), _u1750)) )).
% 29.00/29.22 cnf(matrix-1706, plain, ( ~class_Rings_Olinordered__idom(_u1748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1749), _u1750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1748), hAPP(c_Int_Oring__1__class_Oof__int(_u1748), _u1749)), hAPP(c_Int_Oring__1__class_Oof__int(_u1748), _u1750))) )).
% 29.00/29.22 cnf(matrix-1707, plain, ( ~class_Rings_Oring__1(_u1751) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1752), _u1753)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1751), hAPP(c_Int_Oring__1__class_Oof__int(_u1751), _u1752)), hAPP(c_Int_Oring__1__class_Oof__int(_u1751), _u1753))) )).
% 29.00/29.22 cnf(matrix-1708, plain, ( ~class_Rings_Oring__1(_u1754) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1754), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1755)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1754), _u1755)) )).
% 29.00/29.22 cnf(matrix-1709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1757)), hAPP(c_Int_Onat, _u1756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1757), _u1756)) )).
% 29.00/29.22 cnf(matrix-1710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1757), _u1756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1757)), hAPP(c_Int_Onat, _u1756))) )).
% 29.00/29.22 cnf(matrix-1711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1760)), hAPP(c_Int_Onat, _u1762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1762)) )).
% 29.00/29.22 cnf(matrix-1712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1760)), hAPP(c_Int_Onat, _u1762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1760), _u1762)) )).
% 29.00/29.22 cnf(matrix-1713, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1761), _u1763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1761)), hAPP(c_Int_Onat, _u1763))) )).
% 29.00/29.22 cnf(matrix-1714, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1766), hAPP(c_Int_Onat, _u1768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1766)), _u1768)) )).
% 29.00/29.22 cnf(matrix-1715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1767)), _u1769)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1767), hAPP(c_Int_Onat, _u1769))) )).
% 29.00/29.22 cnf(matrix-1716, plain, ( ~class_Rings_Olinordered__ring(_u1770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1770), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1770), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1771), _u1771)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1770), _u1772), _u1772))), c_Groups_Ozero__class_Ozero(_u1770))) )).
% 29.00/29.22 cnf(matrix-1717, plain, ( ~class_Rings_Olinordered__ring__strict(_u1773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), c_Groups_Ozero__class_Ozero(_u1773)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1774), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1775), _u1775)))) | ( _u1774 != c_Groups_Ozero__class_Ozero(_u1773)) | ( _u1775 != c_Groups_Ozero__class_Ozero(_u1773)) )).
% 29.00/29.22 cnf(matrix-1718, plain, ( ~class_Rings_Olinordered__ring__strict(_u1773) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), c_Groups_Ozero__class_Ozero(_u1773)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1774), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1775), _u1775)))) | ( _u1774 = c_Groups_Ozero__class_Ozero(_u1773)) )).
% 29.00/29.22 cnf(matrix-1719, plain, ( ~class_Rings_Olinordered__ring__strict(_u1773) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1773), c_Groups_Ozero__class_Ozero(_u1773)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1774), _u1774)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1773), _u1775), _u1775)))) | ( _u1775 = c_Groups_Ozero__class_Ozero(_u1773)) )).
% 29.00/29.22 cnf(matrix-1720, plain, ( ( c_Int_Onat__aux(_u1776, _u1777) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u1776)), _u1777)) )).
% 29.00/29.22 cnf(matrix-1721, plain, ( ( c_Nat_Ofunpow(_u1778) = c_Nat_Ocompow(_u1778, _u1778)) )).
% 29.00/29.22 cnf(matrix-1722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u1780 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem38(_u1780))))) )).
% 29.00/29.22 cnf(matrix-1723, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1781)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1781)), _u1782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1781), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1782))) )).
% 29.00/29.22 cnf(matrix-1724, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1781)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1781), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1782))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u1781)), _u1782)) )).
% 29.00/29.22 cnf(matrix-1725, 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, _u1784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1784)) )).
% 29.00/29.22 cnf(matrix-1726, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1785)) | 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, _u1785))) )).
% 29.00/29.22 cnf(matrix-1727, plain, ( ~class_Rings_Oring__1(_u1786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1787)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1786), hAPP(c_Int_Onat, _u1787)) = hAPP(c_Int_Oring__1__class_Oof__int(_u1786), _u1787)) )).
% 29.00/29.22 cnf(matrix-1728, 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, _u1788))))) )).
% 29.00/29.22 cnf(matrix-1729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1789)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1790)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1789), _u1790)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u1789)), hAPP(c_Int_Onat, _u1790))) )).
% 29.00/29.22 cnf(matrix-1730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1792)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u1791)), hAPP(c_Int_Onat, _u1792)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1791), _u1792))) )).
% 29.00/29.22 cnf(matrix-1731, plain, ( ( hAPP(c_Int_Onat, _u1795) != _u1797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1795)) | ( _u1795 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1797)) )).
% 29.00/29.22 cnf(matrix-1732, plain, ( ( hAPP(c_Int_Onat, _u1795) != _u1797) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1795)) | ( _u1797 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1733, plain, ( ( hAPP(c_Int_Onat, _u1796) = _u1798) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1796)) | ( _u1798 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1734, plain, ( ( hAPP(c_Int_Onat, _u1796) = _u1798) | ( _u1796 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1796)) )).
% 29.00/29.22 cnf(matrix-1735, plain, ( ( hAPP(c_Int_Onat, _u1796) = _u1798) | ( _u1796 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1798)) | ( _u1798 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.22 cnf(matrix-1736, plain, ( ~class_Orderings_Opreorder(_u1799) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1799), _u1800), _u1800)) )).
% 29.00/29.22 cnf(matrix-1737, 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), _u1801))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u1802))) )).
% 29.00/29.22 cnf(matrix-1738, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1803), _u1804)), _u1805) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1803), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1804), _u1805))) )).
% 29.00/29.22 cnf(matrix-1739, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1806), _u1807) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1807), _u1806)) )).
% 29.00/29.22 cnf(matrix-1740, plain, ( ~class_Orderings_Oord(_u1810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1811, _u1810)), _u1812), _u1813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1810), hAPP(_u1812, _u1808)), hAPP(_u1813, _u1808))) )).
% 29.00/29.22 cnf(matrix-1741, plain, ( ~class_Orderings_Oord(_u1810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1810), hAPP(_u1812, skolem39(_u1813, _u1812, _u1811, _u1810))), hAPP(_u1813, skolem39(_u1813, _u1812, _u1811, _u1810)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1811, _u1810)), _u1812), _u1813)) )).
% 29.00/29.22 cnf(matrix-1742, plain, ( ~class_Orderings_Olinorder(_u1814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1815), _u1816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1816), _u1815)) )).
% 29.00/29.22 cnf(matrix-1743, plain, ( ~class_Orderings_Oorder(_u1817) | ( _u1818 != _u1819) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) )).
% 29.00/29.22 cnf(matrix-1744, plain, ( ~class_Orderings_Oorder(_u1817) | ( _u1818 != _u1819) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1819), _u1818)) )).
% 29.00/29.22 cnf(matrix-1745, plain, ( ~class_Orderings_Oorder(_u1817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1819), _u1818)) | ( _u1818 = _u1819) )).
% 29.00/29.22 cnf(matrix-1746, plain, ( ~class_Orderings_Opreorder(_u1820) | ( _u1821 != _u1822) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1820), _u1821), _u1822)) )).
% 29.00/29.22 cnf(matrix-1747, plain, ( ~class_Orderings_Oord(_u1823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1824, _u1823)), _u1825), _u1826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1823), hAPP(_u1825, _u1827)), hAPP(_u1826, _u1827))) )).
% 29.00/29.22 cnf(matrix-1748, plain, ( ~class_Orderings_Oorder(_u1828) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1829), _u1830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1830), _u1829)) | ( _u1830 = _u1829) )).
% 29.00/29.22 cnf(matrix-1749, plain, ( ~class_Orderings_Oorder(_u1828) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1829), _u1830)) | ( _u1830 != _u1829) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1830), _u1829)) )).
% 29.00/29.22 cnf(matrix-1750, plain, ( ~class_Orderings_Oord(_u1831) | ( _u1832 != _u1833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1831), _u1833), _u1834)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1831), _u1832), _u1834)) )).
% 29.00/29.22 cnf(matrix-1751, plain, ( ~class_Orderings_Oorder(_u1835) | ( _u1836 != _u1837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1835), _u1838), _u1837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1835), _u1838), _u1836)) )).
% 29.00/29.22 cnf(matrix-1752, plain, ( ~class_Orderings_Oord(_u1839) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1839), _u1840), _u1841)) | ( _u1841 != _u1842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1839), _u1840), _u1842)) )).
% 29.00/29.22 cnf(matrix-1753, plain, ( ~class_Orderings_Oorder(_u1843) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1843), _u1844), _u1845)) | ( _u1844 != _u1846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1843), _u1846), _u1845)) )).
% 29.00/29.22 cnf(matrix-1754, plain, ( ~class_Orderings_Oorder(_u1847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1847), _u1848), _u1849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1847), _u1849), _u1848)) | ( _u1848 = _u1849) )).
% 29.00/29.22 cnf(matrix-1755, plain, ( ~class_Orderings_Opreorder(_u1850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1850), _u1851), _u1852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1850), _u1852), _u1853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1850), _u1851), _u1853)) )).
% 29.00/29.22 cnf(matrix-1756, plain, ( ~class_Orderings_Oorder(_u1854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1854), _u1855), _u1856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1854), _u1856), _u1855)) | ( _u1856 = _u1855) )).
% 29.00/29.22 cnf(matrix-1757, plain, ( ~class_Orderings_Oorder(_u1857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1857), _u1858), _u1859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1857), _u1860), _u1858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1857), _u1860), _u1859)) )).
% 29.00/29.22 cnf(matrix-1758, plain, ( ~class_Orderings_Oord(_u1861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1862, _u1861)), _u1863), _u1864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1861), hAPP(_u1863, _u1865)), hAPP(_u1864, _u1865))) )).
% 29.00/29.22 cnf(matrix-1759, plain, ( ~class_Orderings_Olinorder(_u1866) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1866), _u1867), _u1868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1866), _u1868), _u1867)) )).
% 29.00/29.22 cnf(matrix-1760, plain, ( ~class_Groups_Oone(_u1869) | ( c_Groups_Oone__class_Oone(_u1869) != _u1870) | ( _u1870 = c_Groups_Oone__class_Oone(_u1869)) )).
% 29.00/29.22 cnf(matrix-1761, plain, ( ~class_Groups_Oone(_u1869) | ( _u1870 != c_Groups_Oone__class_Oone(_u1869)) | ( c_Groups_Oone__class_Oone(_u1869) = _u1870) )).
% 29.00/29.22 cnf(matrix-1762, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1871), _u1871)) )).
% 29.00/29.22 cnf(matrix-1763, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1872), _u1873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1873), _u1872)) )).
% 29.00/29.22 cnf(matrix-1764, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1874), _u1875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1875), _u1876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1874), _u1876)) )).
% 29.00/29.22 cnf(matrix-1765, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1877), _u1878)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1878), _u1877)) | ( _u1877 = _u1878) )).
% 29.00/29.22 cnf(matrix-1766, plain, ( ~class_Rings_Olinordered__semidom(_u1879) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1879), c_Groups_Oone__class_Oone(_u1879)), c_Groups_Ozero__class_Ozero(_u1879))) )).
% 29.00/29.22 cnf(matrix-1767, plain, ( ~class_Rings_Olinordered__semidom(_u1880) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1880), c_Groups_Ozero__class_Ozero(_u1880)), c_Groups_Oone__class_Oone(_u1880))) )).
% 29.00/29.22 cnf(matrix-1768, 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))) )).
% 29.00/29.22 cnf(matrix-1769, plain, ( ~class_Rings_Osemiring__1(_u1881) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1881), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1881)) )).
% 29.00/29.22 cnf(matrix-1770, plain, ( ~class_Rings_Olinordered__semidom(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1882), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1882), _u1883)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1882), _u1884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1883), _u1884)) )).
% 29.00/29.22 cnf(matrix-1771, plain, ( ~class_Rings_Olinordered__semidom(_u1882) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1883), _u1884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1882), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1882), _u1883)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u1882), _u1884))) )).
% 29.00/29.22 cnf(matrix-1772, plain, ( ~class_Rings_Olinordered__idom(_u1885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1885), hAPP(c_Int_Oring__1__class_Oof__int(_u1885), _u1886)), hAPP(c_Int_Oring__1__class_Oof__int(_u1885), _u1887))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1886), _u1887)) )).
% 29.00/29.22 cnf(matrix-1773, plain, ( ~class_Rings_Olinordered__idom(_u1885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1886), _u1887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1885), hAPP(c_Int_Oring__1__class_Oof__int(_u1885), _u1886)), hAPP(c_Int_Oring__1__class_Oof__int(_u1885), _u1887))) )).
% 29.00/29.22 cnf(matrix-1774, plain, ( ~class_Rings_Oring__1(_u1888) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u1888), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u1888)) )).
% 29.00/29.22 cnf(matrix-1775, plain, ( ~class_Rings_Olinordered__idom(_u1889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1889), c_Groups_Ozero__class_Ozero(_u1889)), _u1890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1889), c_Groups_Ozero__class_Ozero(_u1889)), _u1891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1889), _u1891), c_Groups_Oone__class_Oone(_u1889))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1891), _u1890)), _u1890)) )).
% 29.00/29.22 cnf(matrix-1776, plain, ( ~class_Rings_Olinordered__idom(_u1892) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), c_Groups_Ozero__class_Ozero(_u1892)), _u1893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), c_Groups_Ozero__class_Ozero(_u1892)), _u1894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), _u1894), c_Groups_Oone__class_Oone(_u1892))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1894)), _u1893)) )).
% 29.00/29.22 cnf(matrix-1777, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1896)) )).
% 29.00/29.22 cnf(matrix-1778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u1897)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1897)) )).
% 29.00/29.22 cnf(matrix-1779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1900), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1902), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1900), _u1902)) )).
% 29.00/29.22 cnf(matrix-1780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u1901), _u1903)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1901), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1903), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 29.00/29.22 cnf(matrix-1781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1906), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u1908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1906), _u1908)) )).
% 29.00/29.22 cnf(matrix-1782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1907), _u1909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1907), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u1909)) )).
% 29.00/29.22 cnf(matrix-1783, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u1910), _u1911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u1910), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u1911)) )).
% 29.00/29.22 cnf(matrix-1784, plain, ( ~class_Rings_Ozero__neq__one(_u1912) | ( c_Groups_Ozero__class_Ozero(_u1912) != c_Groups_Oone__class_Oone(_u1912)) )).
% 29.00/29.22 cnf(matrix-1785, plain, ( ~class_Rings_Ozero__neq__one(_u1913) | ( c_Groups_Oone__class_Oone(_u1913) != c_Groups_Ozero__class_Ozero(_u1913)) )).
% 29.00/29.22 cnf(matrix-1786, plain, ( ~class_Orderings_Olinorder(_u1914) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1914), _u1915), _u1916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1916), _u1915)) )).
% 29.00/29.22 cnf(matrix-1787, plain, ( ~class_Orderings_Olinorder(_u1914) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1916), _u1915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1914), _u1915), _u1916)) )).
% 29.00/29.22 cnf(matrix-1788, plain, ( ~class_Orderings_Olinorder(_u1917) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), _u1919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1917), _u1919), _u1918)) )).
% 29.00/29.22 cnf(matrix-1789, plain, ( ~class_Orderings_Olinorder(_u1917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1917), _u1919), _u1918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), _u1919)) )).
% 29.00/29.22 cnf(matrix-1790, plain, ( ~class_Orderings_Olinorder(_u1920) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1920), _u1921), _u1922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1920), _u1922), _u1921)) )).
% 29.00/29.22 cnf(matrix-1791, plain, ( ~class_Orderings_Oorder(_u1923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1923), _u1924), _u1925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1923), _u1924), _u1925)) )).
% 29.00/29.22 cnf(matrix-1792, plain, ( ~class_Orderings_Oorder(_u1923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1923), _u1924), _u1925)) | ( _u1924 != _u1925) )).
% 29.00/29.22 cnf(matrix-1793, plain, ( ~class_Orderings_Oorder(_u1923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1923), _u1924), _u1925)) | ( _u1924 = _u1925) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1923), _u1924), _u1925)) )).
% 29.00/29.22 cnf(matrix-1794, plain, ( ~class_Orderings_Opreorder(_u1926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1926), _u1927), _u1928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1926), _u1927), _u1928)) )).
% 29.00/29.22 cnf(matrix-1795, plain, ( ~class_Orderings_Opreorder(_u1926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1926), _u1927), _u1928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1926), _u1928), _u1927)) )).
% 29.00/29.22 cnf(matrix-1796, plain, ( ~class_Orderings_Opreorder(_u1926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1926), _u1927), _u1928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1926), _u1928), _u1927)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1926), _u1927), _u1928)) )).
% 29.00/29.22 cnf(matrix-1797, plain, ( ~class_Orderings_Oorder(_u1929) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1929), _u1930), _u1931)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1929), _u1930), _u1931)) | ( _u1930 = _u1931) )).
% 29.00/29.22 cnf(matrix-1798, plain, ( ~class_Orderings_Oorder(_u1929) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1929), _u1930), _u1931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1929), _u1930), _u1931)) )).
% 29.00/29.22 cnf(matrix-1799, plain, ( ~class_Orderings_Oorder(_u1929) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1929), _u1930), _u1931)) | ( _u1930 != _u1931) )).
% 29.00/29.22 cnf(matrix-1800, plain, ( ~class_Orderings_Olinorder(_u1932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1932), _u1933), _u1934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1932), _u1934), _u1933)) )).
% 29.00/29.22 cnf(matrix-1801, plain, ( ~class_Orderings_Olinorder(_u1935) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1935), _u1936), _u1937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1935), _u1937), _u1936)) )).
% 29.00/29.23 cnf(matrix-1802, plain, ( ~class_Orderings_Olinorder(_u1938) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1938), _u1939), _u1940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1938), _u1939), _u1940)) | ( _u1939 = _u1940) )).
% 29.00/29.23 cnf(matrix-1803, plain, ( ~class_Orderings_Olinorder(_u1938) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1938), _u1939), _u1940)) | ( _u1939 != _u1940) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1938), _u1939), _u1940)) )).
% 29.00/29.23 cnf(matrix-1804, plain, ( ~class_Orderings_Oorder(_u1941) | ( _u1942 = _u1943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1941), _u1942), _u1943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1941), _u1942), _u1943)) )).
% 29.00/29.23 cnf(matrix-1805, plain, ( ~class_Orderings_Oorder(_u1944) | ( _u1945 = _u1946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1944), _u1946), _u1945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1944), _u1946), _u1945)) )).
% 29.00/29.23 cnf(matrix-1806, plain, ( ~class_Orderings_Olinorder(_u1947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1947), _u1948), _u1949)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1947), _u1949), _u1948)) )).
% 29.00/29.23 cnf(matrix-1807, plain, ( ~class_Orderings_Opreorder(_u1950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1950), _u1951), _u1952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1950), _u1951), _u1952)) )).
% 29.00/29.23 cnf(matrix-1808, plain, ( ~class_Orderings_Olinorder(_u1953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1953), _u1954), _u1955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1953), _u1954), _u1955)) | ( _u1954 = _u1955) )).
% 29.00/29.23 cnf(matrix-1809, plain, ( ~class_Orderings_Olinorder(_u1953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1953), _u1954), _u1955)) | ( _u1954 != _u1955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1953), _u1954), _u1955)) )).
% 29.00/29.23 cnf(matrix-1810, plain, ( ~class_Orderings_Oorder(_u1956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1956), _u1957), _u1958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1956), _u1957), _u1958)) | ( _u1957 = _u1958) )).
% 29.00/29.23 cnf(matrix-1811, plain, ( ~class_Orderings_Oorder(_u1959) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1959), _u1960), _u1961)) | ( _u1960 = _u1961) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1959), _u1960), _u1961)) )).
% 29.00/29.23 cnf(matrix-1812, plain, ( ~class_Orderings_Oorder(_u1962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1962), _u1963), _u1964)) | ( _u1964 = _u1963) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1962), _u1963), _u1964)) )).
% 29.00/29.23 cnf(matrix-1813, plain, ( ~class_Orderings_Opreorder(_u1965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1965), _u1966), _u1967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1965), _u1967), _u1968)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1965), _u1966), _u1968)) )).
% 29.00/29.23 cnf(matrix-1814, plain, ( ~class_Orderings_Oorder(_u1969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1969), _u1970), _u1971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1969), _u1972), _u1970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1969), _u1972), _u1971)) )).
% 29.00/29.23 cnf(matrix-1815, plain, ( ~class_Orderings_Opreorder(_u1973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1973), _u1974), _u1975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1973), _u1975), _u1976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1973), _u1974), _u1976)) )).
% 29.00/29.23 cnf(matrix-1816, plain, ( ~class_Orderings_Oorder(_u1977) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1977), _u1978), _u1979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1980), _u1978)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1980), _u1979)) )).
% 29.00/29.23 cnf(matrix-1817, plain, ( ~class_Groups_Omonoid__mult(_u1981) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1981), c_Groups_Oone__class_Oone(_u1981)), _u1982) = _u1982) )).
% 29.00/29.23 cnf(matrix-1818, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1983) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1983), c_Groups_Oone__class_Oone(_u1983)), _u1984) = _u1984) )).
% 29.00/29.23 cnf(matrix-1819, plain, ( ~class_Groups_Omonoid__mult(_u1985) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1985), _u1986), c_Groups_Oone__class_Oone(_u1985)) = _u1986) )).
% 29.00/29.23 cnf(matrix-1820, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1987) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1987), _u1988), c_Groups_Oone__class_Oone(_u1987)) = _u1988) )).
% 29.00/29.23 cnf(matrix-1821, plain, ( ~class_Rings_Ocomm__semiring__1(_u1989) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1989), c_Groups_Oone__class_Oone(_u1989)), _u1990) = _u1990) )).
% 29.00/29.23 cnf(matrix-1822, plain, ( ~class_Rings_Ocomm__semiring__1(_u1991) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1991), _u1992), c_Groups_Oone__class_Oone(_u1991)) = _u1992) )).
% 29.00/29.23 cnf(matrix-1823, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1993), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1994), _u1995)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1996), _u1995))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1993), _u1994), _u1996)) )).
% 29.00/29.23 cnf(matrix-1824, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1993), _u1994), _u1996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1993), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1994), _u1995)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1993), _u1996), _u1995))) )).
% 29.00/29.23 cnf(matrix-1825, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1997), _u1998), _u1999)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1997), _u1998), _u2000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), _u1999), _u2000)) )).
% 29.00/29.23 cnf(matrix-1826, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), _u1999), _u2000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1997), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1997), _u1998), _u1999)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u1997), _u1998), _u2000))) )).
% 29.00/29.23 cnf(matrix-1827, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2001), _u2002), _u2003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2001), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2001), _u2002), _u2004)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2001), _u2003), _u2004))) )).
% 29.00/29.23 cnf(matrix-1828, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2005), _u2006), _u2007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2005), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2005), _u2008), _u2006)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2005), _u2008), _u2007))) )).
% 29.00/29.23 cnf(matrix-1829, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2009), _u2010), _u2011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2009), _u2012), _u2013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2009), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2009), _u2010), _u2012)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2009), _u2011), _u2013))) )).
% 29.00/29.23 cnf(matrix-1830, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2014), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2014), _u2015), _u2016)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2014), _u2017), _u2016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2014), _u2015), _u2017)) )).
% 29.00/29.23 cnf(matrix-1831, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2018), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2018), _u2019), _u2020)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2018), _u2019), _u2021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2018), _u2020), _u2021)) )).
% 29.00/29.23 cnf(matrix-1832, plain, ( ~class_Orderings_Obot(_u2022) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2022), c_Orderings_Obot__class_Obot(_u2022)), _u2023)) )).
% 29.00/29.23 cnf(matrix-1833, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2027), _u2029) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2031), _u2029)) | ( _u2027 = _u2031) | ( _u2029 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1834, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2030) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2032), _u2030)) | ( _u2028 != _u2032) )).
% 29.00/29.23 cnf(matrix-1835, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2030) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2032), _u2030)) | ( _u2030 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1836, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2036), _u2038) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2036), _u2040)) | ( _u2038 = _u2040) | ( _u2036 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1837, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2037), _u2039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2037), _u2041)) | ( _u2039 != _u2041) )).
% 29.00/29.23 cnf(matrix-1838, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2037), _u2039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2037), _u2041)) | ( _u2037 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1839, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2044), _u2046) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2044 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2046 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1840, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2045), _u2047) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2045 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1841, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2045), _u2047) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2047 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1842, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2048), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1843, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2049) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-1844, plain, ( ( _u2055 = _u2057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2053)), _u2055) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2053)), _u2057)) )).
% 29.00/29.23 cnf(matrix-1845, plain, ( ( _u2056 != _u2058) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2054)), _u2056) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2054)), _u2058)) )).
% 29.00/29.23 cnf(matrix-1846, plain, ( ~class_Groups_Oordered__ab__group__add(_u2059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2060), hAPP(c_Groups_Ouminus__class_Ouminus(_u2059), _u2061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2061), hAPP(c_Groups_Ouminus__class_Ouminus(_u2059), _u2060))) )).
% 29.00/29.23 cnf(matrix-1847, plain, ( ~class_Groups_Oordered__ab__group__add(_u2059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2061), hAPP(c_Groups_Ouminus__class_Ouminus(_u2059), _u2060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2059), _u2060), hAPP(c_Groups_Ouminus__class_Ouminus(_u2059), _u2061))) )).
% 29.00/29.23 cnf(matrix-1848, plain, ( ~class_Groups_Oordered__ab__group__add(_u2062) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2062), hAPP(c_Groups_Ouminus__class_Ouminus(_u2062), _u2063)), _u2064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2062), hAPP(c_Groups_Ouminus__class_Ouminus(_u2062), _u2064)), _u2063)) )).
% 29.00/29.23 cnf(matrix-1849, plain, ( ~class_Groups_Oordered__ab__group__add(_u2062) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2062), hAPP(c_Groups_Ouminus__class_Ouminus(_u2062), _u2064)), _u2063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2062), hAPP(c_Groups_Ouminus__class_Ouminus(_u2062), _u2063)), _u2064)) )).
% 29.00/29.23 cnf(matrix-1850, plain, ( ~class_Groups_Oordered__ab__group__add(_u2065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2065), hAPP(c_Groups_Ouminus__class_Ouminus(_u2065), _u2066)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2065), _u2067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2065), _u2067), _u2066)) )).
% 29.00/29.23 cnf(matrix-1851, plain, ( ~class_Groups_Oordered__ab__group__add(_u2065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2065), _u2067), _u2066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2065), hAPP(c_Groups_Ouminus__class_Ouminus(_u2065), _u2066)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2065), _u2067))) )).
% 29.00/29.23 cnf(matrix-1852, plain, ( ~class_Groups_Oordered__ab__group__add(_u2068) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2068), _u2069), _u2070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2068), hAPP(c_Groups_Ouminus__class_Ouminus(_u2068), _u2070)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2068), _u2069))) )).
% 29.00/29.23 cnf(matrix-1853, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2071), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2072), _u2073)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2071), _u2072)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2071), _u2073))) )).
% 29.00/29.23 cnf(matrix-1854, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2074), _u2075)), _u2076) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2074), _u2076)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2075), _u2076))) )).
% 29.00/29.23 cnf(matrix-1855, 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))) )).
% 29.00/29.23 cnf(matrix-1856, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-1857, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2079), _u2081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2079), _u2081)) )).
% 29.00/29.23 cnf(matrix-1858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2079), _u2081)) | ( _u2079 != _u2081) )).
% 29.00/29.23 cnf(matrix-1859, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2080), _u2082)) | ( _u2080 = _u2082) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2080), _u2082)) )).
% 29.00/29.23 cnf(matrix-1860, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2083), _u2084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2085), _u2083)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2085), _u2084))) )).
% 29.00/29.23 cnf(matrix-1861, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2086) = _u2086) )).
% 29.00/29.23 cnf(matrix-1862, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2087), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u2087) )).
% 29.00/29.23 cnf(matrix-1863, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u2088, _u2088), _u2089), hAPP(hAPP(c_Nat_Ocompow(_u2088, _u2088), _u2090), _u2091)) = hAPP(hAPP(c_Nat_Ocompow(_u2088, _u2088), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2090), _u2089)), _u2091)) )).
% 29.00/29.23 cnf(matrix-1864, plain, ( ~class_Rings_Olinordered__semiring__1(_u2092) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), _u2093), _u2094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), _u2095), _u2094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), c_Groups_Ozero__class_Ozero(_u2092)), _u2096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), c_Groups_Ozero__class_Ozero(_u2092)), _u2097)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2092), _u2096), _u2097) != c_Groups_Oone__class_Oone(_u2092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2092), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2092), _u2096), _u2093)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2092), _u2097), _u2095))), _u2094)) )).
% 29.00/29.23 cnf(matrix-1865, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2098)) | 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)), _u2098))) )).
% 29.00/29.23 cnf(matrix-1866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2099)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2099), _u2100)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2099)), hAPP(c_Int_Onat, _u2100))) )).
% 29.00/29.23 cnf(matrix-1867, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2102)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u2101)), hAPP(c_Int_Onat, _u2102)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2101), _u2102))) )).
% 29.00/29.23 cnf(matrix-1868, plain, ( ~class_Rings_Olinordered__idom(_u2103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2103), c_Groups_Ozero__class_Ozero(_u2103)), hAPP(c_Int_Oring__1__class_Oof__int(_u2103), _u2104))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2104)) )).
% 29.00/29.23 cnf(matrix-1869, plain, ( ~class_Rings_Olinordered__idom(_u2103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2103), c_Groups_Ozero__class_Ozero(_u2103)), hAPP(c_Int_Oring__1__class_Oof__int(_u2103), _u2104))) )).
% 29.00/29.23 cnf(matrix-1870, plain, ( ~class_Rings_Olinordered__idom(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2105), hAPP(c_Int_Oring__1__class_Oof__int(_u2105), _u2106)), c_Groups_Ozero__class_Ozero(_u2105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2106), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-1871, plain, ( ~class_Rings_Olinordered__idom(_u2105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2106), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2105), hAPP(c_Int_Oring__1__class_Oof__int(_u2105), _u2106)), c_Groups_Ozero__class_Ozero(_u2105))) )).
% 29.00/29.23 cnf(matrix-1872, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u2107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2107), _u2108), _u2109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2107), _u2110), _u2109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2107), c_Groups_Ozero__class_Ozero(_u2107)), _u2111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2107), c_Groups_Ozero__class_Ozero(_u2107)), _u2112)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2107), _u2111), _u2112) != c_Groups_Oone__class_Oone(_u2107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2107), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2107), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2107), _u2111), _u2108)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2107), _u2112), _u2110))), _u2109)) )).
% 29.00/29.23 cnf(matrix-1873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2113)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u2113)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2113))) )).
% 29.00/29.23 cnf(matrix-1874, plain, ( ~class_Rings_Olinordered__semidom(_u2114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2114), c_Groups_Ozero__class_Ozero(_u2114)), c_Groups_Oone__class_Oone(_u2114))) )).
% 29.00/29.23 cnf(matrix-1875, plain, ( ~class_Rings_Olinordered__semidom(_u2115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2115), c_Groups_Oone__class_Oone(_u2115)), c_Groups_Ozero__class_Ozero(_u2115))) )).
% 29.00/29.23 cnf(matrix-1876, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2116), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2116), _u2117)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2116))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2117)))) )).
% 29.00/29.23 cnf(matrix-1877, plain, ( ~class_Rings_Olinordered__semidom(_u2118) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2118), _u2119), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2118), _u2119), c_Groups_Oone__class_Oone(_u2118)))) )).
% 29.00/29.23 cnf(matrix-1878, plain, ( ~class_Rings_Olinordered__semidom(_u2120) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2120), c_Groups_Oone__class_Oone(_u2120)), _u2121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2120), c_Groups_Oone__class_Oone(_u2120)), _u2122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2120), c_Groups_Oone__class_Oone(_u2120)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2120), _u2121), _u2122))) )).
% 29.00/29.23 cnf(matrix-1879, plain, ( ~class_Rings_Ocomm__semiring__1(_u2123) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), _u2124), _u2125)), _u2125) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2123), _u2124), c_Groups_Oone__class_Oone(_u2123))), _u2125)) )).
% 29.00/29.23 cnf(matrix-1880, plain, ( ~class_Rings_Ocomm__semiring__1(_u2126) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2126), _u2127), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2126), _u2128), _u2127)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2126), _u2128), c_Groups_Oone__class_Oone(_u2126))), _u2127)) )).
% 29.00/29.23 cnf(matrix-1881, plain, ( ~class_Rings_Ocomm__semiring__1(_u2129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), _u2130), _u2130) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2129), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2129), c_Groups_Oone__class_Oone(_u2129)), c_Groups_Oone__class_Oone(_u2129))), _u2130)) )).
% 29.00/29.23 cnf(matrix-1882, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2131), _u2132), _u2132))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), _u2132)) )).
% 29.00/29.23 cnf(matrix-1883, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), _u2132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2131), c_Groups_Ozero__class_Ozero(_u2131)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2131), _u2132), _u2132))) )).
% 29.00/29.23 cnf(matrix-1884, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2133), _u2134), _u2134)), c_Groups_Ozero__class_Ozero(_u2133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2133), _u2134), c_Groups_Ozero__class_Ozero(_u2133))) )).
% 29.00/29.23 cnf(matrix-1885, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2133), _u2134), c_Groups_Ozero__class_Ozero(_u2133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2133), _u2134), _u2134)), c_Groups_Ozero__class_Ozero(_u2133))) )).
% 29.00/29.23 cnf(matrix-1886, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2135) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2135), c_Groups_Ozero__class_Ozero(_u2135)), _u2136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2135), c_Groups_Ozero__class_Ozero(_u2135)), _u2137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2135), c_Groups_Ozero__class_Ozero(_u2135)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2135), _u2136), _u2137))) )).
% 29.00/29.23 cnf(matrix-1887, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2140)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2138), _u2139), _u2140) != c_Groups_Ozero__class_Ozero(_u2138)) | ( _u2139 = c_Groups_Ozero__class_Ozero(_u2138)) )).
% 29.00/29.23 cnf(matrix-1888, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2140)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2138), _u2139), _u2140) != c_Groups_Ozero__class_Ozero(_u2138)) | ( _u2140 = c_Groups_Ozero__class_Ozero(_u2138)) )).
% 29.00/29.23 cnf(matrix-1889, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2138), c_Groups_Ozero__class_Ozero(_u2138)), _u2140)) | ( _u2139 != c_Groups_Ozero__class_Ozero(_u2138)) | ( _u2140 != c_Groups_Ozero__class_Ozero(_u2138)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2138), _u2139), _u2140) = c_Groups_Ozero__class_Ozero(_u2138)) )).
% 29.00/29.23 cnf(matrix-1890, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2141), c_Groups_Ozero__class_Ozero(_u2141)), _u2142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2141), _u2143), _u2144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2141), _u2143), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2141), _u2142), _u2144))) )).
% 29.00/29.23 cnf(matrix-1891, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), c_Groups_Ozero__class_Ozero(_u2145)), _u2146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), _u2147), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), _u2147), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2145), _u2148), _u2146))) )).
% 29.00/29.23 cnf(matrix-1892, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2149), _u2150), c_Groups_Ozero__class_Ozero(_u2149))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2149), _u2151), c_Groups_Ozero__class_Ozero(_u2149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2149), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2149), _u2150), _u2151)), c_Groups_Ozero__class_Ozero(_u2149))) )).
% 29.00/29.23 cnf(matrix-1893, plain, ( ~class_Rings_Olinordered__ring(_u2152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2152), c_Groups_Ozero__class_Ozero(_u2152)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2152), _u2153), _u2153))) )).
% 29.00/29.23 cnf(matrix-1894, plain, ( ~class_Rings_Olinordered__ring__strict(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2155), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 29.00/29.23 cnf(matrix-1895, plain, ( ~class_Rings_Olinordered__ring__strict(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2156), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 29.00/29.23 cnf(matrix-1896, plain, ( ~class_Rings_Olinordered__ring__strict(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2155), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 29.00/29.23 cnf(matrix-1897, plain, ( ~class_Rings_Olinordered__ring__strict(_u2154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2156), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 29.00/29.23 cnf(matrix-1898, plain, ( ~class_Rings_Olinordered__ring__strict(_u2154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2155)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), _u2156)) )).
% 29.00/29.23 cnf(matrix-1899, plain, ( ~class_Rings_Olinordered__ring__strict(_u2154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), c_Groups_Ozero__class_Ozero(_u2154)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2154), _u2155), _u2156))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2155), c_Groups_Ozero__class_Ozero(_u2154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2154), _u2156), c_Groups_Ozero__class_Ozero(_u2154))) )).
% 29.00/29.23 cnf(matrix-1900, plain, ( ~class_Rings_Olinordered__ring__strict(_u2157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2158), c_Groups_Ozero__class_Ozero(_u2157))) )).
% 29.00/29.23 cnf(matrix-1901, plain, ( ~class_Rings_Olinordered__ring__strict(_u2157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2159)) )).
% 29.00/29.23 cnf(matrix-1902, plain, ( ~class_Rings_Olinordered__ring__strict(_u2157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2159), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2158), c_Groups_Ozero__class_Ozero(_u2157))) )).
% 29.00/29.23 cnf(matrix-1903, plain, ( ~class_Rings_Olinordered__ring__strict(_u2157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2159), c_Groups_Ozero__class_Ozero(_u2157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2159)) )).
% 29.00/29.23 cnf(matrix-1904, plain, ( ~class_Rings_Olinordered__ring__strict(_u2157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2158)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2159), c_Groups_Ozero__class_Ozero(_u2157))) )).
% 29.00/29.23 cnf(matrix-1905, plain, ( ~class_Rings_Olinordered__ring__strict(_u2157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2157), _u2158), _u2159)), c_Groups_Ozero__class_Ozero(_u2157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), _u2158), c_Groups_Ozero__class_Ozero(_u2157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2157), c_Groups_Ozero__class_Ozero(_u2157)), _u2159)) )).
% 29.00/29.23 cnf(matrix-1906, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2160), c_Groups_Ozero__class_Ozero(_u2160)), _u2161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2160), c_Groups_Ozero__class_Ozero(_u2160)), _u2162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2160), c_Groups_Ozero__class_Ozero(_u2160)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2161), _u2162))) )).
% 29.00/29.23 cnf(matrix-1907, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2163), c_Groups_Ozero__class_Ozero(_u2163)), _u2164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2163), _u2165), c_Groups_Ozero__class_Ozero(_u2163))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2163), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2163), _u2164), _u2165)), c_Groups_Ozero__class_Ozero(_u2163))) )).
% 29.00/29.23 cnf(matrix-1908, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2166), c_Groups_Ozero__class_Ozero(_u2166)), _u2167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2166), _u2168), c_Groups_Ozero__class_Ozero(_u2166))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2166), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2166), _u2168), _u2167)), c_Groups_Ozero__class_Ozero(_u2166))) )).
% 29.00/29.23 cnf(matrix-1909, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), _u2170), c_Groups_Ozero__class_Ozero(_u2169))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), c_Groups_Ozero__class_Ozero(_u2169)), _u2171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2169), _u2170), _u2171)), c_Groups_Ozero__class_Ozero(_u2169))) )).
% 29.00/29.23 cnf(matrix-1910, plain, ( ~class_Rings_Oordered__ring(_u2172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2172), _u2173), c_Groups_Ozero__class_Ozero(_u2172))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2172), _u2174), c_Groups_Ozero__class_Ozero(_u2172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2172), c_Groups_Ozero__class_Ozero(_u2172)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2174))) )).
% 29.00/29.23 cnf(matrix-1911, plain, ( ~class_Rings_Oordered__semiring(_u2175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2175), _u2176), _u2177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2175), c_Groups_Ozero__class_Ozero(_u2175)), _u2178)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2175), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2175), _u2176), _u2178)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2175), _u2177), _u2178))) )).
% 29.00/29.23 cnf(matrix-1912, plain, ( ~class_Rings_Oordered__semiring(_u2179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2179), _u2180), _u2181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2179), c_Groups_Ozero__class_Ozero(_u2179)), _u2182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2182), _u2180)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2179), _u2182), _u2181))) )).
% 29.00/29.23 cnf(matrix-1913, plain, ( ~class_Rings_Oordered__comm__semiring(_u2183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2183), _u2184), _u2185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2183), c_Groups_Ozero__class_Ozero(_u2183)), _u2186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2183), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2183), _u2186), _u2184)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2183), _u2186), _u2185))) )).
% 29.00/29.23 cnf(matrix-1914, plain, ( ~class_Rings_Oordered__ring(_u2187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2187), _u2188), _u2189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2187), _u2190), c_Groups_Ozero__class_Ozero(_u2187))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2187), _u2189), _u2190)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2187), _u2188), _u2190))) )).
% 29.00/29.23 cnf(matrix-1915, plain, ( ~class_Rings_Oordered__ring(_u2191) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2192), _u2193)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), _u2194), c_Groups_Ozero__class_Ozero(_u2191))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2191), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2191), _u2194), _u2193)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2191), _u2194), _u2192))) )).
% 29.00/29.23 cnf(matrix-1916, plain, ( ~class_Rings_Oordered__semiring(_u2195) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), _u2196), _u2197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), _u2198), _u2199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), c_Groups_Ozero__class_Ozero(_u2195)), _u2196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), c_Groups_Ozero__class_Ozero(_u2195)), _u2198)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2195), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2195), _u2196), _u2198)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2195), _u2197), _u2199))) )).
% 29.00/29.23 cnf(matrix-1917, plain, ( ~class_Rings_Oordered__semiring(_u2200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), _u2201), _u2202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), _u2203), _u2204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), c_Groups_Ozero__class_Ozero(_u2200)), _u2202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), c_Groups_Ozero__class_Ozero(_u2200)), _u2203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2200), _u2201), _u2203)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2200), _u2202), _u2204))) )).
% 29.00/29.23 cnf(matrix-1918, plain, ( ~class_Rings_Oordered__ring(_u2205) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), c_Groups_Ozero__class_Ozero(_u2205)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2205), _u2206), _u2207))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), c_Groups_Ozero__class_Ozero(_u2205)), _u2206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), c_Groups_Ozero__class_Ozero(_u2205)), _u2207)) )).
% 29.00/29.23 cnf(matrix-1919, plain, ( ~class_Rings_Oordered__ring(_u2205) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), c_Groups_Ozero__class_Ozero(_u2205)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2205), _u2206), _u2207))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), _u2206), c_Groups_Ozero__class_Ozero(_u2205))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2205), _u2207), c_Groups_Ozero__class_Ozero(_u2205))) )).
% 29.00/29.23 cnf(matrix-1920, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), c_Groups_Ozero__class_Ozero(_u2208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), c_Groups_Ozero__class_Ozero(_u2208)), _u2209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), _u2210), c_Groups_Ozero__class_Ozero(_u2208))) )).
% 29.00/29.23 cnf(matrix-1921, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2208), _u2209), _u2210)), c_Groups_Ozero__class_Ozero(_u2208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), _u2209), c_Groups_Ozero__class_Ozero(_u2208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2208), c_Groups_Ozero__class_Ozero(_u2208)), _u2210)) )).
% 29.00/29.23 cnf(matrix-1922, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2211), _u2212), _u2213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), _u2214), _u2215)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2211), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2211), _u2212), _u2214)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2211), _u2213), _u2215))) )).
% 29.00/29.23 cnf(matrix-1923, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2216), _u2217), _u2218)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2216), _u2219), _u2220)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2216), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2216), _u2217), _u2219)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2216), _u2218), _u2220))) )).
% 29.00/29.23 cnf(matrix-1924, plain, ( ~class_Rings_Ocomm__ring__1(_u2221) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), _u2222) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2221), hAPP(c_Groups_Ouminus__class_Ouminus(_u2221), c_Groups_Oone__class_Oone(_u2221))), _u2222)) )).
% 29.00/29.23 cnf(matrix-1925, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2223) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2223), _u2224), _u2224) != c_Groups_Oone__class_Oone(_u2223)) | ( _u2224 = c_Groups_Oone__class_Oone(_u2223)) | ( _u2224 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2223), c_Groups_Oone__class_Oone(_u2223))) )).
% 29.00/29.23 cnf(matrix-1926, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2223) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2223), _u2224), _u2224) = c_Groups_Oone__class_Oone(_u2223)) | ( _u2224 != c_Groups_Oone__class_Oone(_u2223)) )).
% 29.00/29.23 cnf(matrix-1927, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2223) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2223), _u2224), _u2224) = c_Groups_Oone__class_Oone(_u2223)) | ( _u2224 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2223), c_Groups_Oone__class_Oone(_u2223))) )).
% 29.00/29.23 cnf(matrix-1928, plain, ( ~class_Groups_Oordered__ab__group__add(_u2225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), c_Groups_Ozero__class_Ozero(_u2225)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2225), _u2226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), _u2226), c_Groups_Ozero__class_Ozero(_u2225))) )).
% 29.00/29.23 cnf(matrix-1929, plain, ( ~class_Groups_Oordered__ab__group__add(_u2225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), _u2226), c_Groups_Ozero__class_Ozero(_u2225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), c_Groups_Ozero__class_Ozero(_u2225)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2225), _u2226))) )).
% 29.00/29.23 cnf(matrix-1930, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2228), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2228))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2228), c_Groups_Ozero__class_Ozero(_u2227))) )).
% 29.00/29.23 cnf(matrix-1931, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2228), c_Groups_Ozero__class_Ozero(_u2227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2227), _u2228), hAPP(c_Groups_Ouminus__class_Ouminus(_u2227), _u2228))) )).
% 29.00/29.23 cnf(matrix-1932, plain, ( ~class_Groups_Oordered__ab__group__add(_u2229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2229), hAPP(c_Groups_Ouminus__class_Ouminus(_u2229), _u2230)), c_Groups_Ozero__class_Ozero(_u2229))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2229), c_Groups_Ozero__class_Ozero(_u2229)), _u2230)) )).
% 29.00/29.23 cnf(matrix-1933, plain, ( ~class_Groups_Oordered__ab__group__add(_u2229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2229), c_Groups_Ozero__class_Ozero(_u2229)), _u2230)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2229), hAPP(c_Groups_Ouminus__class_Ouminus(_u2229), _u2230)), c_Groups_Ozero__class_Ozero(_u2229))) )).
% 29.00/29.23 cnf(matrix-1934, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2231), hAPP(c_Groups_Ouminus__class_Ouminus(_u2231), _u2232)), _u2232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2231), c_Groups_Ozero__class_Ozero(_u2231)), _u2232)) )).
% 29.00/29.23 cnf(matrix-1935, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2231) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2231), c_Groups_Ozero__class_Ozero(_u2231)), _u2232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2231), hAPP(c_Groups_Ouminus__class_Ouminus(_u2231), _u2232)), _u2232)) )).
% 29.00/29.23 cnf(matrix-1936, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), _u2237) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2235 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-1937, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), _u2237) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2237 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-1938, plain, ( ( _u2236 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2238 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2236), _u2238) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-1939, plain, ( ~class_Rings_Olinordered__semidom(_u2239) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2239), c_Groups_Ozero__class_Ozero(_u2239)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2239), _u2240))) )).
% 29.00/29.23 cnf(matrix-1940, plain, ( ~class_Rings_Olinordered__semidom(_u2241) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2241), c_Groups_Ozero__class_Ozero(_u2241)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2241), _u2242))) )).
% 29.00/29.23 cnf(matrix-1941, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2243), _u2244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2245), _u2243)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2245), _u2244))) )).
% 29.00/29.23 cnf(matrix-1942, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2246), _u2247)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2246), _u2248)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2247), _u2248))) )).
% 29.00/29.23 cnf(matrix-1943, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2252), _u2254)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2256), _u2254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2254)) )).
% 29.00/29.23 cnf(matrix-1944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2252), _u2254)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2256), _u2254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2252), _u2256)) )).
% 29.00/29.23 cnf(matrix-1945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2253), _u2257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2253), _u2255)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2257), _u2255))) )).
% 29.00/29.23 cnf(matrix-1946, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2261), _u2263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2261), _u2265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2261)) )).
% 29.00/29.23 cnf(matrix-1947, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2261), _u2263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2261), _u2265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2263), _u2265)) )).
% 29.00/29.23 cnf(matrix-1948, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2264), _u2266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), _u2264)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), _u2266))) )).
% 29.00/29.23 cnf(matrix-1949, 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), _u2269), _u2271))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2269)) )).
% 29.00/29.23 cnf(matrix-1950, 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), _u2269), _u2271))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2271)) )).
% 29.00/29.23 cnf(matrix-1951, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2270)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2272)) | 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), _u2270), _u2272))) )).
% 29.00/29.23 cnf(matrix-1952, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2278), _u2280)) | ~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, _u2276)), _u2278)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2276)), _u2280))) )).
% 29.00/29.23 cnf(matrix-1953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2279), _u2281)) | 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, _u2277)), _u2279)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2277)), _u2281))) )).
% 29.00/29.23 cnf(matrix-1954, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2282), hAPP(c_Nat_OSuc, _u2283)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2282), _u2283))) )).
% 29.00/29.23 cnf(matrix-1955, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2284)), _u2285) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2284), _u2285))) )).
% 29.00/29.23 cnf(matrix-1956, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2287)) | 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), _u2286), _u2287))) )).
% 29.00/29.23 cnf(matrix-1957, 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))) )).
% 29.00/29.23 cnf(matrix-1958, 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), _u2288))) )).
% 29.00/29.23 cnf(matrix-1959, 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), _u2289))) )).
% 29.00/29.23 cnf(matrix-1960, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2290)) | ~hBOOL(hAPP(_u2295, _u2290)) | hBOOL(hAPP(_u2295, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem40(_u2295)))) )).
% 29.00/29.23 cnf(matrix-1961, plain, ( ~hBOOL(hAPP(_u2296, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2292))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem41(_u2296))) )).
% 29.00/29.23 cnf(matrix-1962, plain, ( ~hBOOL(hAPP(_u2296, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2292))) | hBOOL(hAPP(_u2296, skolem41(_u2296))) )).
% 29.00/29.23 cnf(matrix-1963, plain, ( hBOOL(hAPP(_u2302, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem42(_u2302))) )).
% 29.00/29.23 cnf(matrix-1964, plain, ( hBOOL(hAPP(_u2302, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2298))) | ~hBOOL(hAPP(_u2302, skolem42(_u2302))) )).
% 29.00/29.23 cnf(matrix-1965, plain, ( ~hBOOL(hAPP(_u2303, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem43(_u2303)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2300)) | hBOOL(hAPP(_u2303, _u2300)) )).
% 29.00/29.23 cnf(matrix-1966, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2305)) | ( hAPP(c_Int_Onat, _u2304) != hAPP(c_Int_Onat, _u2305)) | ( _u2304 = _u2305) )).
% 29.00/29.23 cnf(matrix-1967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2305)) | ( _u2304 != _u2305) | ( hAPP(c_Int_Onat, _u2304) = hAPP(c_Int_Onat, _u2305)) )).
% 29.00/29.23 cnf(matrix-1968, plain, ( ~hBOOL(hAPP(_u2311, _u2306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem44(_u2311))) )).
% 29.00/29.23 cnf(matrix-1969, plain, ( ~hBOOL(hAPP(_u2311, _u2306)) | hBOOL(hAPP(_u2311, hAPP(c_Int_Onat, skolem44(_u2311)))) )).
% 29.00/29.23 cnf(matrix-1970, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2308)) | ~hBOOL(hAPP(_u2312, hAPP(c_Int_Onat, _u2308))) | hBOOL(hAPP(_u2312, skolem45(_u2312))) )).
% 29.00/29.23 cnf(matrix-1971, plain, ( ~hBOOL(hAPP(_u2318, skolem46(_u2318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2314)) | hBOOL(hAPP(_u2318, hAPP(c_Int_Onat, _u2314))) )).
% 29.00/29.23 cnf(matrix-1972, plain, ( hBOOL(hAPP(_u2319, _u2316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem47(_u2319))) )).
% 29.00/29.23 cnf(matrix-1973, plain, ( hBOOL(hAPP(_u2319, _u2316)) | ~hBOOL(hAPP(_u2319, hAPP(c_Int_Onat, skolem47(_u2319)))) )).
% 29.00/29.23 cnf(matrix-1974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2321)) | ( hAPP(c_Int_Onat, _u2320) != hAPP(c_Int_Onat, _u2321)) | ( _u2320 = _u2321) )).
% 29.00/29.23 cnf(matrix-1975, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2321)) | ( _u2320 != _u2321) | ( hAPP(c_Int_Onat, _u2320) = hAPP(c_Int_Onat, _u2321)) )).
% 29.00/29.23 cnf(matrix-1976, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2322), _u2323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2324), _u2325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2322), _u2324)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2323), _u2325))) )).
% 29.00/29.23 cnf(matrix-1977, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2327)) | 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), _u2326), _u2327))) )).
% 29.00/29.23 cnf(matrix-1978, 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)), _u2328)), _u2328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-1979, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2329)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2330)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2329), _u2330))) )).
% 29.00/29.23 cnf(matrix-1980, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2331), _u2332)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2331)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2332))) )).
% 29.00/29.23 cnf(matrix-1981, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2333)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2334)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2333), _u2334))) )).
% 29.00/29.23 cnf(matrix-1982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2339), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2337), _u2339)) | ( _u2337 = _u2339) )).
% 29.00/29.23 cnf(matrix-1983, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2340), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2338), _u2340)) )).
% 29.00/29.23 cnf(matrix-1984, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2340), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u2338 != _u2340) )).
% 29.00/29.23 cnf(matrix-1985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2345), _u2347)) | ( _u2347 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2345), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem48(_u2347, _u2345)))) )).
% 29.00/29.23 cnf(matrix-1986, plain, ( ( _u2348 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2346), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2346), _u2348)) )).
% 29.00/29.23 cnf(matrix-1987, plain, ( ~class_Rings_Olinordered__semidom(_u2349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2349), c_Groups_Ozero__class_Ozero(_u2349)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2349), c_Groups_Oone__class_Oone(_u2349)), c_Groups_Oone__class_Oone(_u2349)))) )).
% 29.00/29.23 cnf(matrix-1988, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2350), _u2351), c_Groups_Ozero__class_Ozero(_u2350))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2350), _u2352), c_Groups_Ozero__class_Ozero(_u2350))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2350), _u2351), _u2352)), c_Groups_Ozero__class_Ozero(_u2350))) )).
% 29.00/29.23 cnf(matrix-1989, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2353), _u2354), c_Groups_Ozero__class_Ozero(_u2353))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2353), _u2355), c_Groups_Ozero__class_Ozero(_u2353))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2353), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2353), _u2354), _u2355)), c_Groups_Ozero__class_Ozero(_u2353))) )).
% 29.00/29.23 cnf(matrix-1990, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2356) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2356), c_Groups_Ozero__class_Ozero(_u2356)), _u2357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2356), _u2358), _u2359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2356), _u2358), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2356), _u2357), _u2359))) )).
% 29.00/29.23 cnf(matrix-1991, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2360), c_Groups_Ozero__class_Ozero(_u2360)), _u2361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2360), _u2362), _u2363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2360), _u2362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2360), _u2361), _u2363))) )).
% 29.00/29.23 cnf(matrix-1992, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2364), c_Groups_Ozero__class_Ozero(_u2364)), _u2365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2364), c_Groups_Ozero__class_Ozero(_u2364)), _u2366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2364), c_Groups_Ozero__class_Ozero(_u2364)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2364), _u2365), _u2366))) )).
% 29.00/29.23 cnf(matrix-1993, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2367), c_Groups_Ozero__class_Ozero(_u2367)), _u2368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2367), c_Groups_Ozero__class_Ozero(_u2367)), _u2369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2367), c_Groups_Ozero__class_Ozero(_u2367)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2367), _u2368), _u2369))) )).
% 29.00/29.23 cnf(matrix-1994, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2370) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2370), _u2371), _u2372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2370), _u2371), _u2373))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2370), c_Groups_Ozero__class_Ozero(_u2370)), _u2371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2370), _u2372), _u2373)) )).
% 29.00/29.23 cnf(matrix-1995, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2374) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2374), _u2375), _u2376)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2374), _u2377), _u2376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2374), c_Groups_Ozero__class_Ozero(_u2374)), _u2376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2374), _u2375), _u2377)) )).
% 29.00/29.23 cnf(matrix-1996, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2378) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2378), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2378), _u2379), _u2380)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2378), _u2379), _u2381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2378), c_Groups_Ozero__class_Ozero(_u2378)), _u2379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2378), _u2380), _u2381)) )).
% 29.00/29.23 cnf(matrix-1997, plain, ( ~class_Rings_Olinordered__semiring(_u2382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2382), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2382), _u2383), _u2384)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2382), _u2383), _u2385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2382), c_Groups_Ozero__class_Ozero(_u2382)), _u2383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2382), _u2384), _u2385)) )).
% 29.00/29.23 cnf(matrix-1998, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2386) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2386), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2386), _u2387), _u2388)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2386), _u2389), _u2388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2386), c_Groups_Ozero__class_Ozero(_u2386)), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2386), _u2387), _u2389)) )).
% 29.00/29.23 cnf(matrix-1999, plain, ( ~class_Rings_Olinordered__semiring(_u2390) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2390), _u2391), _u2392)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2390), _u2393), _u2392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2390), c_Groups_Ozero__class_Ozero(_u2390)), _u2392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2390), _u2391), _u2393)) )).
% 29.00/29.23 cnf(matrix-2000, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2394) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2394), _u2395), _u2396)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2394), _u2397), _u2398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2394), c_Groups_Ozero__class_Ozero(_u2394)), _u2395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2394), c_Groups_Ozero__class_Ozero(_u2394)), _u2397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2394), _u2395), _u2397)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2394), _u2396), _u2398))) )).
% 29.00/29.23 cnf(matrix-2001, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2399), _u2400), _u2401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2399), _u2402), _u2403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2399), c_Groups_Ozero__class_Ozero(_u2399)), _u2400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2399), c_Groups_Ozero__class_Ozero(_u2399)), _u2402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2399), _u2400), _u2402)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2399), _u2401), _u2403))) )).
% 29.00/29.23 cnf(matrix-2002, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2404), _u2405), _u2406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2404), _u2407), _u2408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2404), c_Groups_Ozero__class_Ozero(_u2404)), _u2405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2404), c_Groups_Ozero__class_Ozero(_u2404)), _u2407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2404), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2404), _u2405), _u2407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2404), _u2406), _u2408))) )).
% 29.00/29.23 cnf(matrix-2003, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), _u2410), _u2411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), _u2412), _u2413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), c_Groups_Ozero__class_Ozero(_u2409)), _u2411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2409), c_Groups_Ozero__class_Ozero(_u2409)), _u2412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2409), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2409), _u2410), _u2412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2409), _u2411), _u2413))) )).
% 29.00/29.23 cnf(matrix-2004, plain, ( ~class_Rings_Olinordered__ring__strict(_u2414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), _u2415), c_Groups_Ozero__class_Ozero(_u2414))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2414), _u2415), _u2416)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2414), _u2415), _u2417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2414), _u2417), _u2416)) )).
% 29.00/29.23 cnf(matrix-2005, plain, ( ~class_Rings_Olinordered__ring__strict(_u2414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), _u2415), c_Groups_Ozero__class_Ozero(_u2414))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2414), _u2417), _u2416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2414), _u2415), _u2416)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2414), _u2415), _u2417))) )).
% 29.00/29.23 cnf(matrix-2006, plain, ( ~class_Rings_Olinordered__ring__strict(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), c_Groups_Ozero__class_Ozero(_u2418)), _u2419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2418), _u2419), _u2420)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2418), _u2419), _u2421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), _u2420), _u2421)) )).
% 29.00/29.23 cnf(matrix-2007, plain, ( ~class_Rings_Olinordered__ring__strict(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), c_Groups_Ozero__class_Ozero(_u2418)), _u2419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), _u2420), _u2421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2418), _u2419), _u2420)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2418), _u2419), _u2421))) )).
% 29.00/29.23 cnf(matrix-2008, plain, ( ~class_Rings_Olinordered__ring__strict(_u2422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2423), _u2423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2424), _u2424))), c_Groups_Ozero__class_Ozero(_u2422))) | ( _u2423 = c_Groups_Ozero__class_Ozero(_u2422)) )).
% 29.00/29.23 cnf(matrix-2009, plain, ( ~class_Rings_Olinordered__ring__strict(_u2422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2423), _u2423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2424), _u2424))), c_Groups_Ozero__class_Ozero(_u2422))) | ( _u2424 = c_Groups_Ozero__class_Ozero(_u2422)) )).
% 29.00/29.23 cnf(matrix-2010, plain, ( ~class_Rings_Olinordered__ring__strict(_u2422) | ( _u2423 != c_Groups_Ozero__class_Ozero(_u2422)) | ( _u2424 != c_Groups_Ozero__class_Ozero(_u2422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2423), _u2423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2424), _u2424))), c_Groups_Ozero__class_Ozero(_u2422))) )).
% 29.00/29.23 cnf(matrix-2011, plain, ( ~class_Rings_Olinordered__ring(_u2425) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2425), c_Groups_Ozero__class_Ozero(_u2425)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2425), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2425), _u2426), _u2426)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2425), _u2427), _u2427)))) )).
% 29.00/29.23 cnf(matrix-2012, plain, ( ~class_Rings_Osemiring__1(_u2428) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2428), hAPP(c_Nat_OSuc, _u2429)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2428), c_Groups_Oone__class_Oone(_u2428)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u2428), _u2429))) )).
% 29.00/29.23 cnf(matrix-2013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2431), _u2430))) )).
% 29.00/29.23 cnf(matrix-2014, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2432), _u2433))) )).
% 29.00/29.23 cnf(matrix-2015, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2435)) | 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), _u2435), _u2434))) )).
% 29.00/29.23 cnf(matrix-2016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2437)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2017, plain, ( ( _u2438 != 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), _u2438)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2018, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2439), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2439) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2019, plain, ( ( hAPP(c_Int_Onat, _u2441) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2020, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2442), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u2442) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2021, 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)) )).
% 29.00/29.23 cnf(matrix-2022, 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))) )).
% 29.00/29.23 cnf(matrix-2023, 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)), _u2444)), _u2444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2444), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2445), 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)), _u2445)), _u2445)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2025, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2446)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2446)) = _u2446) )).
% 29.00/29.23 cnf(matrix-2026, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2449) != _u2451) | ( _u2449 = hAPP(c_Int_Onat, _u2451)) )).
% 29.00/29.23 cnf(matrix-2027, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2449) != _u2451) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2451)) )).
% 29.00/29.23 cnf(matrix-2028, plain, ( ( _u2450 != hAPP(c_Int_Onat, _u2452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2452)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2450) = _u2452) )).
% 29.00/29.23 cnf(matrix-2029, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2454)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2454)) = _u2454) )).
% 29.00/29.23 cnf(matrix-2030, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2455)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u2455)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2031, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2456)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2456), _u2457) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2456 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2456)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2456), _u2457) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2457 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2033, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2456)) | ( _u2456 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2457 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2456), _u2457) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2034, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u2458)) = 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), _u2458))) )).
% 29.00/29.23 cnf(matrix-2035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2461)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2463)))) | ( _u2461 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2036, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2461)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2463)))) | ( _u2463 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2037, plain, ( ( _u2462 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2464 != 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), _u2462)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2464)))) )).
% 29.00/29.23 cnf(matrix-2038, 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), _u2465))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2466)), hAPP(c_Int_Onat, _u2467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2466), _u2467)) )).
% 29.00/29.23 cnf(matrix-2040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2466), _u2467)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2466)), hAPP(c_Int_Onat, _u2467))) )).
% 29.00/29.23 cnf(matrix-2041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2468)), hAPP(c_Int_Onat, _u2469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2468), _u2469)) )).
% 29.00/29.23 cnf(matrix-2042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2468), _u2469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u2468)), hAPP(c_Int_Onat, _u2469))) )).
% 29.00/29.23 cnf(matrix-2043, plain, ( ( _u2472 != hAPP(c_Int_Onat, _u2474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2474)) | ( _u2474 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2472)) )).
% 29.00/29.23 cnf(matrix-2044, plain, ( ( _u2472 != hAPP(c_Int_Onat, _u2474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2474)) | ( _u2472 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2045, plain, ( ( _u2473 = hAPP(c_Int_Onat, _u2475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2475)) | ( _u2473 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2046, plain, ( ( _u2473 = hAPP(c_Int_Onat, _u2475)) | ( _u2475 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2475)) )).
% 29.00/29.23 cnf(matrix-2047, plain, ( ( _u2473 = hAPP(c_Int_Onat, _u2475)) | ( _u2475 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2473)) | ( _u2473 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2476)) | ( _u2476 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2476), _u2478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2478), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2479)) | ( _u2479 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u2480), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2479), _u2481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2480), _u2479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2481)) )).
% 29.00/29.23 cnf(matrix-2050, 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), _u2482), _u2483)), _u2484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2484), _u2482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2483)) )).
% 29.00/29.23 cnf(matrix-2051, 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), _u2485), _u2486)), _u2487)), 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)), _u2487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2486), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2052, 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), _u2488), _u2489)), _u2490)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2488), _u2491)), _u2492))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2490), _u2488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2492), _u2488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2489), _u2491)) )).
% 29.00/29.23 cnf(matrix-2053, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2493), _u2494)), _u2495) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2496), _u2497)), _u2498)) | ~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), _u2496), _u2497)), _u2498))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2498), _u2496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2496), _u2493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2494), _u2497)) )).
% 29.00/29.23 cnf(matrix-2054, 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), _u2499), _u2500)), _u2501)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2499), _u2502)), _u2503))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2503), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2499), _u2503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2499), _u2501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2502), _u2500)) )).
% 29.00/29.23 cnf(matrix-2055, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2504), _u2505)), _u2506) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2507), _u2508)), _u2509)) | ~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), _u2507), _u2508)), _u2509)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2506), _u2504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2507)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2507), _u2504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2508), _u2505)) )).
% 29.00/29.23 cnf(matrix-2056, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2511), _u2512)) )).
% 29.00/29.23 cnf(matrix-2057, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2511), _u2512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2511)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2510), _u2512))) )).
% 29.00/29.23 cnf(matrix-2058, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2513)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2514) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2515)) | ( _u2514 = _u2515) )).
% 29.00/29.23 cnf(matrix-2059, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2513)) | ( _u2514 != _u2515) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2514) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2513), _u2515)) )).
% 29.00/29.23 cnf(matrix-2060, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2516, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))), _u2517)) )).
% 29.00/29.23 cnf(matrix-2061, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2518)) )).
% 29.00/29.23 cnf(matrix-2062, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2519), _u2519)) )).
% 29.00/29.23 cnf(matrix-2063, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2520), _u2521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2521), _u2520)) )).
% 29.00/29.23 cnf(matrix-2064, plain, ( ( _u2522 != _u2523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2522), _u2523)) )).
% 29.00/29.23 cnf(matrix-2065, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2524), _u2525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2525), _u2526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2524), _u2526)) )).
% 29.00/29.23 cnf(matrix-2066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2527), _u2528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2528), _u2527)) | ( _u2527 = _u2528) )).
% 29.00/29.23 cnf(matrix-2067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2531, tc_HOL_Obool)), _u2533), c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool)))) | ( _u2533 = c_Orderings_Obot__class_Obot(tc_fun(_u2531, tc_HOL_Obool))) )).
% 29.00/29.23 cnf(matrix-2068, plain, ( ( _u2534 != c_Orderings_Obot__class_Obot(tc_fun(_u2532, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2532, tc_HOL_Obool)), _u2534), c_Orderings_Obot__class_Obot(tc_fun(_u2532, tc_HOL_Obool)))) )).
% 29.00/29.23 cnf(matrix-2069, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2537, tc_HOL_Obool)), _u2539), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2537, tc_HOL_Obool)), _u2539))) | ( _u2539 = c_Orderings_Obot__class_Obot(tc_fun(_u2537, tc_HOL_Obool))) )).
% 29.00/29.23 cnf(matrix-2070, plain, ( ( _u2540 != c_Orderings_Obot__class_Obot(tc_fun(_u2538, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2538, tc_HOL_Obool)), _u2540), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2538, tc_HOL_Obool)), _u2540))) )).
% 29.00/29.23 cnf(matrix-2071, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2541)) )).
% 29.00/29.23 cnf(matrix-2072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2543), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2543 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2073, plain, ( ( _u2544 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2544), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2545, tc_HOL_Obool)), _u2546), _u2547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2545, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2545), _u2548), _u2546)), hAPP(hAPP(c_Set_Oinsert(_u2545), _u2548), _u2547))) )).
% 29.00/29.23 cnf(matrix-2075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2549, tc_HOL_Obool)), _u2550), _u2551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2549, tc_HOL_Obool)), _u2550), hAPP(hAPP(c_Set_Oinsert(_u2549), _u2552), _u2551))) )).
% 29.00/29.23 cnf(matrix-2076, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2553, tc_HOL_Obool)), _u2554), hAPP(hAPP(c_Set_Oinsert(_u2553), _u2555), _u2554))) )).
% 29.00/29.23 cnf(matrix-2077, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2556)), _u2556)) )).
% 29.00/29.23 cnf(matrix-2078, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2559), _u2561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2561)), _u2559)) )).
% 29.00/29.23 cnf(matrix-2079, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2562)), _u2560)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2560), _u2562)) )).
% 29.00/29.23 cnf(matrix-2080, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2565), hAPP(c_Nat_OSuc, _u2567))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2565), _u2567)) | ( _u2565 = hAPP(c_Nat_OSuc, _u2567)) )).
% 29.00/29.23 cnf(matrix-2081, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2566), hAPP(c_Nat_OSuc, _u2568))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2566), _u2568)) )).
% 29.00/29.23 cnf(matrix-2082, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2566), hAPP(c_Nat_OSuc, _u2568))) | ( _u2566 != hAPP(c_Nat_OSuc, _u2568)) )).
% 29.00/29.23 cnf(matrix-2083, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2571)), hAPP(c_Nat_OSuc, _u2573))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2571), _u2573)) )).
% 29.00/29.23 cnf(matrix-2084, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2572), _u2574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2572)), hAPP(c_Nat_OSuc, _u2574))) )).
% 29.00/29.23 cnf(matrix-2085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2575), _u2576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2575), hAPP(c_Nat_OSuc, _u2576))) )).
% 29.00/29.23 cnf(matrix-2086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2577), hAPP(c_Nat_OSuc, _u2578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2577), _u2578)) | ( _u2577 = hAPP(c_Nat_OSuc, _u2578)) )).
% 29.00/29.23 cnf(matrix-2087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2579)), _u2580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2579), _u2580)) )).
% 29.00/29.23 cnf(matrix-2088, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2581), _u2582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2581), _u2582)) )).
% 29.00/29.23 cnf(matrix-2089, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2581), _u2582)) | ( _u2581 != _u2582) )).
% 29.00/29.23 cnf(matrix-2090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2583), _u2584)) | ( _u2583 = _u2584) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2583), _u2584)) )).
% 29.00/29.23 cnf(matrix-2091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2585), _u2586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2585), _u2586)) )).
% 29.00/29.23 cnf(matrix-2092, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2589), _u2591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2589), _u2591)) | ( _u2589 = _u2591) )).
% 29.00/29.23 cnf(matrix-2093, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2590), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2590), _u2592)) )).
% 29.00/29.23 cnf(matrix-2094, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2590), _u2592)) | ( _u2590 != _u2592) )).
% 29.00/29.23 cnf(matrix-2095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2595), _u2597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2595), _u2597)) )).
% 29.00/29.23 cnf(matrix-2096, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2595), _u2597)) | ( _u2595 != _u2597) )).
% 29.00/29.23 cnf(matrix-2097, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2596), _u2598)) | ( _u2596 = _u2598) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2596), _u2598)) )).
% 29.00/29.23 cnf(matrix-2098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2599), _u2600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2599), _u2600)) )).
% 29.00/29.23 cnf(matrix-2099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2601), _u2602)), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2601), _u2603)) )).
% 29.00/29.23 cnf(matrix-2100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2601), _u2602)), _u2603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2602), _u2603)) )).
% 29.00/29.23 cnf(matrix-2101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2604), _u2605)), _u2606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2604), _u2606)) )).
% 29.00/29.23 cnf(matrix-2102, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2608), _u2609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2607), _u2608)), _u2609)) )).
% 29.00/29.23 cnf(matrix-2103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2610), _u2611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2612), _u2613)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2610), _u2612)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2611), _u2613))) )).
% 29.00/29.23 cnf(matrix-2104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2614), _u2615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2614), _u2616)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2615), _u2616))) )).
% 29.00/29.23 cnf(matrix-2105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2617), _u2618)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2617), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2619), _u2618))) )).
% 29.00/29.23 cnf(matrix-2106, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2620), _u2621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2620), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2621), _u2622))) )).
% 29.00/29.23 cnf(matrix-2107, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2628), _u2630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2626), _u2628)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2626), _u2630))) )).
% 29.00/29.23 cnf(matrix-2108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2629), _u2631)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2627), _u2629)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2627), _u2631))) )).
% 29.00/29.23 cnf(matrix-2109, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2636), _u2638)) | ( _u2638 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2636), skolem49(_u2638, _u2636))) )).
% 29.00/29.23 cnf(matrix-2110, plain, ( ( _u2639 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2637), _u2633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2637), _u2639)) )).
% 29.00/29.23 cnf(matrix-2111, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2640), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2640), _u2641))) )).
% 29.00/29.23 cnf(matrix-2112, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2642), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2643), _u2642))) )).
% 29.00/29.23 cnf(matrix-2113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2644), _u2645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2645), _u2646))) )).
% 29.00/29.23 cnf(matrix-2114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2647), _u2648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2649), _u2648))) )).
% 29.00/29.23 cnf(matrix-2115, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2650), _u2650))) )).
% 29.00/29.23 cnf(matrix-2116, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2651), _u2651)))) )).
% 29.00/29.23 cnf(matrix-2117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2652), _u2653)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2652), _u2654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2653), _u2654))) )).
% 29.00/29.23 cnf(matrix-2118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2655), _u2656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2657), _u2655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2657), _u2656))) )).
% 29.00/29.23 cnf(matrix-2119, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2658), _u2659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2660), _u2661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2658), _u2660)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2659), _u2661))) )).
% 29.00/29.23 cnf(matrix-2120, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2662) = _u2662) )).
% 29.00/29.23 cnf(matrix-2121, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2665), _u2667)) | ( _u2665 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2122, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2665), _u2667)) | ( _u2667 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2123, plain, ( ( _u2666 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2668 != 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), _u2666), _u2668)) )).
% 29.00/29.23 cnf(matrix-2124, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2669), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2669) )).
% 29.00/29.23 cnf(matrix-2125, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2672), _u2674) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2672 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2126, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2672), _u2674) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2674 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2127, plain, ( ( _u2673 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2675 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2673), _u2675) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2128, plain, ( ~class_Orderings_Oord(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2677, _u2676)), _u2678), _u2679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2677, _u2676)), _u2678), _u2679)) )).
% 29.00/29.23 cnf(matrix-2129, plain, ( ~class_Orderings_Oord(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2677, _u2676)), _u2678), _u2679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2677, _u2676)), _u2679), _u2678)) )).
% 29.00/29.23 cnf(matrix-2130, plain, ( ~class_Orderings_Oord(_u2676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2677, _u2676)), _u2678), _u2679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2677, _u2676)), _u2679), _u2678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2677, _u2676)), _u2678), _u2679)) )).
% 29.00/29.23 cnf(matrix-2131, plain, ( ~c_Natural_Oevaln(_u2680, _u2681, _u2682, _u2683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2682), _u2684)) | c_Natural_Oevaln(_u2680, _u2681, _u2684, _u2683) )).
% 29.00/29.23 cnf(matrix-2132, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u2685, _u2686, _u2687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2685), tc_HOL_Obool)), _u2686), _u2688)) | c_Hoare__Mirabelle_Ohoare__derivs(_u2685, _u2688, _u2687) )).
% 29.00/29.23 cnf(matrix-2133, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u2689, _u2690, _u2691) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2689), tc_HOL_Obool)), _u2692), _u2691)) | c_Hoare__Mirabelle_Ohoare__derivs(_u2689, _u2690, _u2692) )).
% 29.00/29.23 cnf(matrix-2134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2693), tc_HOL_Obool)), _u2694), _u2695)) | c_Hoare__Mirabelle_Ohoare__derivs(_u2693, _u2695, _u2694) )).
% 29.00/29.23 cnf(matrix-2135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2696, tc_HOL_Obool)), _u2697), _u2698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2696, tc_HOL_Obool)), _u2698), _u2699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2696, tc_HOL_Obool)), _u2697), _u2699)) )).
% 29.00/29.23 cnf(matrix-2136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2700, tc_HOL_Obool)), _u2701), _u2702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2700, tc_HOL_Obool)), _u2702), _u2703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2700, tc_HOL_Obool)), _u2701), _u2703)) )).
% 29.00/29.23 cnf(matrix-2137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2704, tc_HOL_Obool)), _u2705), _u2706)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2704, tc_HOL_Obool)), _u2705), _u2706)) )).
% 29.00/29.23 cnf(matrix-2138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2710, tc_HOL_Obool)), _u2712), _u2714)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2710, tc_HOL_Obool)), _u2712), _u2714)) | ( _u2712 = _u2714) )).
% 29.00/29.23 cnf(matrix-2139, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2711, tc_HOL_Obool)), _u2713), _u2715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2711, tc_HOL_Obool)), _u2713), _u2715)) )).
% 29.00/29.23 cnf(matrix-2140, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2711, tc_HOL_Obool)), _u2713), _u2715)) | ( _u2713 != _u2715) )).
% 29.00/29.23 cnf(matrix-2141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2719, tc_HOL_Obool)), _u2721), _u2723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2719, tc_HOL_Obool)), _u2721), _u2723)) )).
% 29.00/29.23 cnf(matrix-2142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2719, tc_HOL_Obool)), _u2721), _u2723)) | ( _u2721 != _u2723) )).
% 29.00/29.23 cnf(matrix-2143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2720, tc_HOL_Obool)), _u2722), _u2724)) | ( _u2722 = _u2724) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2720, tc_HOL_Obool)), _u2722), _u2724)) )).
% 29.00/29.23 cnf(matrix-2144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2725, tc_HOL_Obool)), _u2726), hAPP(hAPP(c_Set_Oinsert(_u2725), _u2727), c_Orderings_Obot__class_Obot(tc_fun(_u2725, tc_HOL_Obool))))) | ( _u2726 = c_Orderings_Obot__class_Obot(tc_fun(_u2725, tc_HOL_Obool))) | ( _u2726 = hAPP(hAPP(c_Set_Oinsert(_u2725), _u2727), c_Orderings_Obot__class_Obot(tc_fun(_u2725, tc_HOL_Obool)))) )).
% 29.00/29.23 cnf(matrix-2145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2728), _u2729)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2728), _u2730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2729), _u2730)) )).
% 29.00/29.23 cnf(matrix-2146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2729), _u2730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2728), _u2729)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2728), _u2730))) )).
% 29.00/29.23 cnf(matrix-2147, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2148, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2731)), _u2732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2731), _u2732)) )).
% 29.00/29.23 cnf(matrix-2149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2733), _u2734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2734), hAPP(c_Nat_OSuc, _u2733))) | ( _u2734 = _u2733) )).
% 29.00/29.23 cnf(matrix-2150, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2733), _u2734)) | ( _u2734 != _u2733) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2734), hAPP(c_Nat_OSuc, _u2733))) )).
% 29.00/29.23 cnf(matrix-2151, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2735), _u2736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2735)), _u2736)) )).
% 29.00/29.23 cnf(matrix-2152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2737), _u2738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2737), hAPP(c_Nat_OSuc, _u2738))) )).
% 29.00/29.23 cnf(matrix-2153, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2741)), _u2743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2741), _u2743)) )).
% 29.00/29.23 cnf(matrix-2154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2742), _u2744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2742)), _u2744)) )).
% 29.00/29.23 cnf(matrix-2155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2747), hAPP(c_Nat_OSuc, _u2749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2747), _u2749)) )).
% 29.00/29.23 cnf(matrix-2156, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2748), _u2750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2748), hAPP(c_Nat_OSuc, _u2750))) )).
% 29.00/29.23 cnf(matrix-2157, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2753), _u2755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2753)), _u2755)) )).
% 29.00/29.23 cnf(matrix-2158, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2754)), _u2756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2754), _u2756)) )).
% 29.00/29.23 cnf(matrix-2159, plain, ( ( hAPP(c_Nat_OSuc, _u2757) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2757), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2160, plain, ( ( hAPP(c_Nat_OSuc, _u2758) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2758)) )).
% 29.00/29.23 cnf(matrix-2161, plain, ( ( _u2759 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2759), _u2760)) | ( _u2760 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2759 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2162, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2766), _u2768)) | ~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, _u2764)), _u2766)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2764)), _u2768))) )).
% 29.00/29.23 cnf(matrix-2163, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2767), _u2769)) | 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, _u2765)), _u2767)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2765)), _u2769))) )).
% 29.00/29.23 cnf(matrix-2164, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2772)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2772), _u2774)) )).
% 29.00/29.23 cnf(matrix-2165, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2773), _u2775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2773)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2775))) )).
% 29.00/29.23 cnf(matrix-2166, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2778)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2778), _u2780)) )).
% 29.00/29.23 cnf(matrix-2167, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2779), _u2781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2779)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u2781))) )).
% 29.00/29.23 cnf(matrix-2168, 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))) )).
% 29.00/29.23 cnf(matrix-2169, 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)) )).
% 29.00/29.23 cnf(matrix-2170, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2171, 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), _u2784), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2784)) )).
% 29.00/29.23 cnf(matrix-2172, 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), _u2784), _u2786))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2786)) )).
% 29.00/29.23 cnf(matrix-2173, 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))), _u2785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2787)) | 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), _u2785), _u2787))) )).
% 29.00/29.23 cnf(matrix-2174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2791), _u2793)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2791), _u2795))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2793), _u2795)) )).
% 29.00/29.23 cnf(matrix-2175, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2792), _u2794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2792), _u2796))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2792)) )).
% 29.00/29.23 cnf(matrix-2176, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2792), _u2794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2792), _u2796))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2794), _u2796)) )).
% 29.00/29.23 cnf(matrix-2177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2800), _u2802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2804), _u2802))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2800), _u2804)) )).
% 29.00/29.23 cnf(matrix-2178, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2801), _u2803)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2805), _u2803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2803)) )).
% 29.00/29.23 cnf(matrix-2179, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2801), _u2803)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2805), _u2803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2801), _u2805)) )).
% 29.00/29.23 cnf(matrix-2180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2806)), hAPP(c_Int_Onat, _u2807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2806), _u2807)) )).
% 29.00/29.23 cnf(matrix-2181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2806), _u2807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2806)), hAPP(c_Int_Onat, _u2807))) )).
% 29.00/29.23 cnf(matrix-2182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2808)), hAPP(c_Int_Onat, _u2809))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2808), _u2809)) )).
% 29.00/29.23 cnf(matrix-2183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2808)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2808), _u2809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2808)), hAPP(c_Int_Onat, _u2809))) )).
% 29.00/29.23 cnf(matrix-2184, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2808)), hAPP(c_Int_Onat, _u2809))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2808), _u2809)) )).
% 29.00/29.23 cnf(matrix-2185, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2808), _u2809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u2808)), hAPP(c_Int_Onat, _u2809))) )).
% 29.00/29.23 cnf(matrix-2186, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2813), _u2815) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2813), _u2817)) | ( _u2813 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2815 = _u2817) )).
% 29.00/29.23 cnf(matrix-2187, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2814), _u2816) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2814), _u2818)) | ( _u2814 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2188, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2814), _u2816) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2814), _u2818)) | ( _u2816 != _u2818) )).
% 29.00/29.23 cnf(matrix-2189, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2819), _u2820)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2821), _u2820)), _u2822)) = 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), _u2819), _u2821)), _u2820)), _u2822)) )).
% 29.00/29.23 cnf(matrix-2190, 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))) )).
% 29.00/29.23 cnf(matrix-2191, plain, ( ~class_Lattices_Oboolean__algebra(_u2823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2823), hAPP(c_Groups_Ouminus__class_Ouminus(_u2823), _u2824)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2823), _u2825))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2823), _u2825), _u2824)) )).
% 29.00/29.23 cnf(matrix-2192, plain, ( ~class_Lattices_Oboolean__algebra(_u2823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2823), _u2825), _u2824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2823), hAPP(c_Groups_Ouminus__class_Ouminus(_u2823), _u2824)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2823), _u2825))) )).
% 29.00/29.23 cnf(matrix-2193, plain, ( ~class_Lattices_Oboolean__algebra(_u2826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2826), _u2827), _u2828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2826), hAPP(c_Groups_Ouminus__class_Ouminus(_u2826), _u2828)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2826), _u2827))) )).
% 29.00/29.23 cnf(matrix-2194, plain, ( hBOOL(hAPP(_u2831, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2831, _u2832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem50(_u2832, _u2831)), _u2832)) )).
% 29.00/29.23 cnf(matrix-2195, plain, ( hBOOL(hAPP(_u2831, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2831, _u2832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2829), skolem50(_u2832, _u2831))) | ~hBOOL(hAPP(_u2831, _u2829)) )).
% 29.00/29.23 cnf(matrix-2196, plain, ( hBOOL(hAPP(_u2831, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2831, _u2832)) | hBOOL(hAPP(_u2831, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem50(_u2832, _u2831)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 29.00/29.23 cnf(matrix-2197, plain, ( ~class_Groups_Osgn__if(_u2833) | ( _u2834 != c_Groups_Ozero__class_Ozero(_u2833)) | ( c_Groups_Osgn__class_Osgn(_u2833, _u2834) = c_Groups_Ozero__class_Ozero(_u2833)) )).
% 29.00/29.23 cnf(matrix-2198, plain, ( ~class_Groups_Osgn__if(_u2833) | ( _u2834 = c_Groups_Ozero__class_Ozero(_u2833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), c_Groups_Ozero__class_Ozero(_u2833)), _u2834)) | ( c_Groups_Osgn__class_Osgn(_u2833, _u2834) = c_Groups_Oone__class_Oone(_u2833)) )).
% 29.00/29.23 cnf(matrix-2199, plain, ( ~class_Groups_Osgn__if(_u2833) | ( _u2834 = c_Groups_Ozero__class_Ozero(_u2833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), c_Groups_Ozero__class_Ozero(_u2833)), _u2834)) | ( c_Groups_Osgn__class_Osgn(_u2833, _u2834) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2833), c_Groups_Oone__class_Oone(_u2833))) )).
% 29.00/29.23 cnf(matrix-2200, plain, ( ~class_Rings_Olinordered__idom(_u2835) | ( c_Groups_Osgn__class_Osgn(_u2835, _u2836) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2835), c_Groups_Oone__class_Oone(_u2835))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2835), _u2836), c_Groups_Ozero__class_Ozero(_u2835))) )).
% 29.00/29.23 cnf(matrix-2201, plain, ( ~class_Rings_Olinordered__idom(_u2835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2835), _u2836), c_Groups_Ozero__class_Ozero(_u2835))) | ( c_Groups_Osgn__class_Osgn(_u2835, _u2836) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2835), c_Groups_Oone__class_Oone(_u2835))) )).
% 29.00/29.23 cnf(matrix-2202, plain, ( ~class_Rings_Olinordered__idom(_u2837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2837), _u2838), c_Groups_Ozero__class_Ozero(_u2837))) | ( c_Groups_Osgn__class_Osgn(_u2837, _u2838) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2837), c_Groups_Oone__class_Oone(_u2837))) )).
% 29.00/29.23 cnf(matrix-2203, plain, ( ( _u2840 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2840) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2204, plain, ( ( _u2841 = 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)), _u2841)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2841) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2205, plain, ( ( _u2841 = 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)), _u2841)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u2841) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2206, plain, ( ( _u2842 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2843), _u2844)), _u2845)) | ( _u2843 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2842, _u2843) = _u2845) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2843), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2845), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2207, plain, ( ( _u2842 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2843), _u2844)), _u2845)) | ( _u2843 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2842, _u2843) = _u2845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2845), _u2843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2843)) )).
% 29.00/29.23 cnf(matrix-2208, plain, ( ( _u2842 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2843), _u2844)), _u2845)) | ( _u2843 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2842, _u2843) = _u2845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2845), _u2843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u2843), _u2845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u2845), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2846, tc_HOL_Obool)), _u2847), _u2848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2846, tc_HOL_Obool)), _u2848), _u2847)) | ( _u2847 = _u2848) )).
% 29.00/29.23 cnf(matrix-2210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2849, tc_HOL_Obool)), _u2850), _u2851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2849, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2849, tc_HOL_Obool)), _u2851)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2849, tc_HOL_Obool)), _u2850))) )).
% 29.00/29.23 cnf(matrix-2211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2855, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2855, tc_HOL_Obool)), _u2857)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2855, tc_HOL_Obool)), _u2859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2855, tc_HOL_Obool)), _u2859), _u2857)) )).
% 29.00/29.23 cnf(matrix-2212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2856, tc_HOL_Obool)), _u2860), _u2858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2856, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2856, tc_HOL_Obool)), _u2858)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2856, tc_HOL_Obool)), _u2860))) )).
% 29.00/29.23 cnf(matrix-2213, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2861, tc_HOL_Obool)), _u2862), _u2862)) )).
% 29.00/29.23 cnf(matrix-2214, plain, ( ( _u2866 != _u2868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2870, tc_HOL_Obool)), _u2866), _u2868)) )).
% 29.00/29.23 cnf(matrix-2215, plain, ( ( _u2866 != _u2868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2870, tc_HOL_Obool)), _u2868), _u2866)) )).
% 29.00/29.23 cnf(matrix-2216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2871, tc_HOL_Obool)), _u2867), _u2869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2871, tc_HOL_Obool)), _u2869), _u2867)) | ( _u2867 = _u2869) )).
% 29.00/29.23 cnf(matrix-2217, plain, ( ( _u2872 != _u2873) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2874, tc_HOL_Obool)), _u2872), _u2873)) )).
% 29.00/29.23 cnf(matrix-2218, plain, ( ( _u2875 != _u2876) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2877, tc_HOL_Obool)), _u2876), _u2875)) )).
% 29.00/29.23 cnf(matrix-2219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2878, tc_HOL_Obool)), _u2879), _u2880)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2878, tc_HOL_Obool)), _u2880), _u2881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2878, tc_HOL_Obool)), _u2879), _u2881)) )).
% 29.00/29.23 cnf(matrix-2220, plain, ( ( _u2882 != _u2883) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2884, tc_HOL_Obool)), _u2882), _u2883)) )).
% 29.00/29.23 cnf(matrix-2221, plain, ( ( _u2882 != _u2883) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2884, tc_HOL_Obool)), _u2883), _u2882)) )).
% 29.00/29.23 cnf(matrix-2222, plain, ( ~class_Divides_Osemiring__div(_u2885) | ( c_Divides_Odiv__class_Omod(_u2885, c_Divides_Odiv__class_Omod(_u2885, _u2886, _u2887), _u2887) = c_Divides_Odiv__class_Omod(_u2885, _u2886, _u2887)) )).
% 29.00/29.23 cnf(matrix-2223, plain, ( ~class_Rings_Olinordered__idom(_u2888) | ( c_Groups_Osgn__class_Osgn(_u2888, c_Groups_Osgn__class_Osgn(_u2888, _u2889)) = c_Groups_Osgn__class_Osgn(_u2888, _u2889)) )).
% 29.00/29.23 cnf(matrix-2224, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2890, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2890, tc_HOL_Obool)), _u2891)) = _u2891) )).
% 29.00/29.23 cnf(matrix-2225, plain, ( ( _u2897 = _u2899) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2895, tc_HOL_Obool)), _u2897) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2895, tc_HOL_Obool)), _u2899)) )).
% 29.00/29.23 cnf(matrix-2226, plain, ( ( _u2898 != _u2900) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2896, tc_HOL_Obool)), _u2898) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2896, tc_HOL_Obool)), _u2900)) )).
% 29.00/29.23 cnf(matrix-2227, plain, ( ~class_Divides_Osemiring__div(_u2901) | ( c_Divides_Odiv__class_Omod(_u2901, c_Groups_Ozero__class_Ozero(_u2901), _u2902) = c_Groups_Ozero__class_Ozero(_u2901)) )).
% 29.00/29.23 cnf(matrix-2228, plain, ( ~class_Divides_Osemiring__div(_u2903) | ( c_Divides_Odiv__class_Omod(_u2903, _u2904, c_Groups_Ozero__class_Ozero(_u2903)) = _u2904) )).
% 29.00/29.23 cnf(matrix-2229, plain, ( ~class_Divides_Osemiring__div(_u2905) | ( c_Divides_Odiv__class_Omod(_u2905, _u2906, _u2906) = c_Groups_Ozero__class_Ozero(_u2905)) )).
% 29.00/29.23 cnf(matrix-2230, plain, ( ~class_Divides_Osemiring__div(_u2907) | ( c_Divides_Odiv__class_Omod(_u2907, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2907), _u2908), _u2909), _u2909) = c_Divides_Odiv__class_Omod(_u2907, _u2908, _u2909)) )).
% 29.00/29.23 cnf(matrix-2231, plain, ( ~class_Divides_Osemiring__div(_u2910) | ( c_Divides_Odiv__class_Omod(_u2910, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2910), _u2911), _u2912), _u2911) = c_Divides_Odiv__class_Omod(_u2910, _u2912, _u2911)) )).
% 29.00/29.23 cnf(matrix-2232, plain, ( ~class_Divides_Osemiring__div(_u2913) | ( c_Divides_Odiv__class_Omod(_u2913, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2913), _u2914), _u2915), _u2916) = c_Divides_Odiv__class_Omod(_u2913, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2913), _u2914), c_Divides_Odiv__class_Omod(_u2913, _u2915, _u2916)), _u2916)) )).
% 29.00/29.23 cnf(matrix-2233, plain, ( ~class_Divides_Osemiring__div(_u2917) | ( c_Divides_Odiv__class_Omod(_u2917, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2917), _u2918), _u2919), _u2920) = c_Divides_Odiv__class_Omod(_u2917, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2917), c_Divides_Odiv__class_Omod(_u2917, _u2918, _u2920)), _u2919), _u2920)) )).
% 29.00/29.23 cnf(matrix-2234, plain, ( ~class_Divides_Osemiring__div(_u2921) | ( c_Divides_Odiv__class_Omod(_u2921, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2921), _u2922), _u2923), _u2924) = c_Divides_Odiv__class_Omod(_u2921, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2921), c_Divides_Odiv__class_Omod(_u2921, _u2922, _u2924)), c_Divides_Odiv__class_Omod(_u2921, _u2923, _u2924)), _u2924)) )).
% 29.00/29.23 cnf(matrix-2235, plain, ( ~class_Divides_Osemiring__div(_u2925) | ( c_Divides_Odiv__class_Omod(_u2925, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2925), _u2926), c_Divides_Odiv__class_Omod(_u2925, _u2927, _u2928)), _u2928) = c_Divides_Odiv__class_Omod(_u2925, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2925), _u2926), _u2927), _u2928)) )).
% 29.00/29.23 cnf(matrix-2236, plain, ( ~class_Divides_Osemiring__div(_u2929) | ( c_Divides_Odiv__class_Omod(_u2929, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2929), c_Divides_Odiv__class_Omod(_u2929, _u2930, _u2931)), _u2932), _u2931) = c_Divides_Odiv__class_Omod(_u2929, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2929), _u2930), _u2932), _u2931)) )).
% 29.00/29.23 cnf(matrix-2237, plain, ( ~class_Divides_Osemiring__div(_u2933) | ( c_Divides_Odiv__class_Omod(_u2933, _u2934, _u2935) != c_Divides_Odiv__class_Omod(_u2933, _u2936, _u2935)) | ( c_Divides_Odiv__class_Omod(_u2933, _u2937, _u2935) != c_Divides_Odiv__class_Omod(_u2933, _u2938, _u2935)) | ( c_Divides_Odiv__class_Omod(_u2933, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2933), _u2934), _u2937), _u2935) = c_Divides_Odiv__class_Omod(_u2933, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2933), _u2936), _u2938), _u2935)) )).
% 29.00/29.23 cnf(matrix-2238, plain, ( ~class_Divides_Osemiring__div(_u2939) | ( c_Divides_Odiv__class_Omod(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2941), _u2942) = c_Divides_Odiv__class_Omod(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), c_Divides_Odiv__class_Omod(_u2939, _u2941, _u2942)), _u2942)) )).
% 29.00/29.23 cnf(matrix-2239, plain, ( ~class_Divides_Osemiring__div(_u2943) | ( c_Divides_Odiv__class_Omod(_u2943, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), _u2944), _u2945), _u2946) = c_Divides_Odiv__class_Omod(_u2943, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2943), c_Divides_Odiv__class_Omod(_u2943, _u2944, _u2946)), _u2945), _u2946)) )).
% 29.00/29.23 cnf(matrix-2240, plain, ( ~class_Divides_Osemiring__div(_u2947) | ( c_Divides_Odiv__class_Omod(_u2947, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), _u2948), _u2949), _u2950) = c_Divides_Odiv__class_Omod(_u2947, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2947), c_Divides_Odiv__class_Omod(_u2947, _u2948, _u2950)), c_Divides_Odiv__class_Omod(_u2947, _u2949, _u2950)), _u2950)) )).
% 29.00/29.23 cnf(matrix-2241, plain, ( ~class_Divides_Osemiring__div(_u2951) | ( c_Divides_Odiv__class_Omod(_u2951, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2953), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), _u2954)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2951), _u2952), c_Divides_Odiv__class_Omod(_u2951, _u2953, _u2954))) )).
% 29.00/29.23 cnf(matrix-2242, plain, ( ~class_Divides_Osemiring__div(_u2955) | ( c_Divides_Odiv__class_Omod(_u2955, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2955), _u2956), _u2957), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2955), _u2958), _u2957)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2955), c_Divides_Odiv__class_Omod(_u2955, _u2956, _u2958)), _u2957)) )).
% 29.00/29.23 cnf(matrix-2243, plain, ( ~class_Divides_Osemiring__div(_u2959) | ( c_Divides_Odiv__class_Omod(_u2959, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2959), c_Divides_Odiv__class_Omod(_u2959, _u2960, _u2961)), _u2962), _u2961) = c_Divides_Odiv__class_Omod(_u2959, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2959), _u2960), _u2962), _u2961)) )).
% 29.00/29.23 cnf(matrix-2244, plain, ( ~class_Divides_Osemiring__div(_u2963) | ( c_Divides_Odiv__class_Omod(_u2963, _u2964, _u2965) != c_Divides_Odiv__class_Omod(_u2963, _u2966, _u2965)) | ( c_Divides_Odiv__class_Omod(_u2963, _u2967, _u2965) != c_Divides_Odiv__class_Omod(_u2963, _u2968, _u2965)) | ( c_Divides_Odiv__class_Omod(_u2963, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2963), _u2964), _u2967), _u2965) = c_Divides_Odiv__class_Omod(_u2963, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2963), _u2966), _u2968), _u2965)) )).
% 29.00/29.23 cnf(matrix-2245, plain, ( ~class_Divides_Oring__div(_u2969) | ( c_Divides_Odiv__class_Omod(_u2969, _u2970, _u2971) != c_Divides_Odiv__class_Omod(_u2969, _u2972, _u2971)) | ( c_Divides_Odiv__class_Omod(_u2969, hAPP(c_Groups_Ouminus__class_Ouminus(_u2969), _u2970), _u2971) = c_Divides_Odiv__class_Omod(_u2969, hAPP(c_Groups_Ouminus__class_Ouminus(_u2969), _u2972), _u2971)) )).
% 29.00/29.23 cnf(matrix-2246, plain, ( ~class_Divides_Oring__div(_u2973) | ( c_Divides_Odiv__class_Omod(_u2973, hAPP(c_Groups_Ouminus__class_Ouminus(_u2973), _u2974), _u2975) = c_Divides_Odiv__class_Omod(_u2973, hAPP(c_Groups_Ouminus__class_Ouminus(_u2973), c_Divides_Odiv__class_Omod(_u2973, _u2974, _u2975)), _u2975)) )).
% 29.00/29.23 cnf(matrix-2247, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2976, _u2976) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2248, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2977) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2249, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2978), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2979, _u2980)), _u2980) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2978), _u2979), _u2980)) )).
% 29.00/29.23 cnf(matrix-2250, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2981), _u2982), _u2983) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2981), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2982, _u2983)), _u2983)) )).
% 29.00/29.23 cnf(matrix-2251, 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, _u2984, _u2985)), _u2985) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2984), _u2985)) )).
% 29.00/29.23 cnf(matrix-2252, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2986), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2987)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2986, _u2987))) )).
% 29.00/29.23 cnf(matrix-2253, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2988, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u2989)) = 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), _u2988), _u2989))) )).
% 29.00/29.23 cnf(matrix-2254, plain, ( ~class_Rings_Olinordered__idom(_u2990) | ( c_Groups_Osgn__class_Osgn(_u2990, _u2991) != c_Groups_Ozero__class_Ozero(_u2990)) | ( _u2991 = c_Groups_Ozero__class_Ozero(_u2990)) )).
% 29.00/29.23 cnf(matrix-2255, plain, ( ~class_Rings_Olinordered__idom(_u2990) | ( _u2991 != c_Groups_Ozero__class_Ozero(_u2990)) | ( c_Groups_Osgn__class_Osgn(_u2990, _u2991) = c_Groups_Ozero__class_Ozero(_u2990)) )).
% 29.00/29.23 cnf(matrix-2256, plain, ( ~class_Groups_Osgn__if(_u2992) | ( c_Groups_Osgn__class_Osgn(_u2992, c_Groups_Ozero__class_Ozero(_u2992)) = c_Groups_Ozero__class_Ozero(_u2992)) )).
% 29.00/29.23 cnf(matrix-2257, plain, ( ~class_Rings_Olinordered__idom(_u2993) | ( c_Groups_Osgn__class_Osgn(_u2993, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2993), _u2994), _u2995)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2993), c_Groups_Osgn__class_Osgn(_u2993, _u2994)), c_Groups_Osgn__class_Osgn(_u2993, _u2995))) )).
% 29.00/29.23 cnf(matrix-2258, plain, ( ~class_Divides_Osemiring__div(_u2996) | ( c_Divides_Odiv__class_Omod(_u2996, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2996), _u2997), _u2998), _u2998) = c_Groups_Ozero__class_Ozero(_u2996)) )).
% 29.00/29.23 cnf(matrix-2259, plain, ( ~class_Divides_Osemiring__div(_u2999) | ( c_Divides_Odiv__class_Omod(_u2999, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2999), _u3000), _u3001), _u3000) = c_Groups_Ozero__class_Ozero(_u2999)) )).
% 29.00/29.23 cnf(matrix-2260, plain, ( ~class_Divides_Osemiring__div(_u3002) | ( c_Divides_Odiv__class_Omod(_u3002, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3002), _u3003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3002), _u3004), _u3005)), _u3004) = c_Divides_Odiv__class_Omod(_u3002, _u3003, _u3004)) )).
% 29.00/29.23 cnf(matrix-2261, plain, ( ~class_Divides_Osemiring__div(_u3006) | ( c_Divides_Odiv__class_Omod(_u3006, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3006), _u3007), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3006), _u3008), _u3009)), _u3009) = c_Divides_Odiv__class_Omod(_u3006, _u3007, _u3009)) )).
% 29.00/29.23 cnf(matrix-2262, plain, ( ~class_Divides_Osemiring__div(_u3010) | ( c_Divides_Odiv__class_Omod(_u3010, _u3011, c_Groups_Oone__class_Oone(_u3010)) = c_Groups_Ozero__class_Ozero(_u3010)) )).
% 29.00/29.23 cnf(matrix-2263, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3012, _u3013)), _u3012)) )).
% 29.00/29.23 cnf(matrix-2264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3015)) | 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, _u3014, _u3015))) )).
% 29.00/29.23 cnf(matrix-2265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3017, _u3016)), _u3016)) )).
% 29.00/29.23 cnf(matrix-2266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3018), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3018), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3019, _u3018))) )).
% 29.00/29.23 cnf(matrix-2267, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3024, _u3026) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3024 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3026), skolem51(_u3026, _u3024))) )).
% 29.00/29.23 cnf(matrix-2268, plain, ( ( _u3025 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3027), _u3021)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3025, _u3027) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2269, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3028, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3029)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3028, _u3029) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2270, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3030), _u3031) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3030, _u3031) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3032)) | 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, _u3033, _u3032))) )).
% 29.00/29.23 cnf(matrix-2272, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3034)) | 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, _u3035, _u3034))) )).
% 29.00/29.23 cnf(matrix-2273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3035, _u3034)), _u3034)) )).
% 29.00/29.23 cnf(matrix-2274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3036)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3036), _u3037)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3036, _u3037) = _u3036) )).
% 29.00/29.23 cnf(matrix-2275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3038), 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, _u3039, _u3038)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3040), 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, _u3041, _u3040)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3040), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3040), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3041, _u3040))) )).
% 29.00/29.23 cnf(matrix-2278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3042), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3043), _u3042)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3042, _u3043) = _u3042) )).
% 29.00/29.23 cnf(matrix-2279, plain, ( ~class_Rings_Olinordered__idom(_u3044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), c_Groups_Osgn__class_Osgn(_u3044, _u3045)), c_Groups_Ozero__class_Ozero(_u3044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), _u3045), c_Groups_Ozero__class_Ozero(_u3044))) )).
% 29.00/29.23 cnf(matrix-2280, plain, ( ~class_Rings_Olinordered__idom(_u3044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), _u3045), c_Groups_Ozero__class_Ozero(_u3044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3044), c_Groups_Osgn__class_Osgn(_u3044, _u3045)), c_Groups_Ozero__class_Ozero(_u3044))) )).
% 29.00/29.23 cnf(matrix-2281, plain, ( ~class_Rings_Olinordered__idom(_u3046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3046), c_Groups_Ozero__class_Ozero(_u3046)), c_Groups_Osgn__class_Osgn(_u3046, _u3047))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3046), c_Groups_Ozero__class_Ozero(_u3046)), _u3047)) )).
% 29.00/29.23 cnf(matrix-2282, plain, ( ~class_Rings_Olinordered__idom(_u3046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3046), c_Groups_Ozero__class_Ozero(_u3046)), _u3047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3046), c_Groups_Ozero__class_Ozero(_u3046)), c_Groups_Osgn__class_Osgn(_u3046, _u3047))) )).
% 29.00/29.23 cnf(matrix-2283, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3048) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3048), _u3049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3048), _u3049), _u3050)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3048), _u3049), _u3050)) )).
% 29.00/29.23 cnf(matrix-2284, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3051) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3051), _u3052), _u3052) = _u3052) )).
% 29.00/29.23 cnf(matrix-2285, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3053) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3053), _u3054), _u3054) = _u3054) )).
% 29.00/29.23 cnf(matrix-2286, plain, ( ~class_Lattices_Oboolean__algebra(_u3055) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3055), _u3056) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3055), _u3057)) | ( _u3056 = _u3057) )).
% 29.00/29.23 cnf(matrix-2287, plain, ( ~class_Lattices_Oboolean__algebra(_u3055) | ( _u3056 != _u3057) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3055), _u3056) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3055), _u3057)) )).
% 29.00/29.23 cnf(matrix-2288, plain, ( ~class_Groups_Ouminus(_u3058) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3059, _u3058)), _u3060), _u3061) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3058), hAPP(_u3060, _u3061))) )).
% 29.00/29.23 cnf(matrix-2289, plain, ( ~class_Lattices_Oboolean__algebra(_u3062) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3062), hAPP(c_Groups_Ouminus__class_Ouminus(_u3062), _u3063)) = _u3063) )).
% 29.00/29.23 cnf(matrix-2290, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3064), _u3065)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3064, _u3065) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3064), _u3065)) )).
% 29.00/29.23 cnf(matrix-2291, plain, ( ~class_Rings_Olinordered__idom(_u3066) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3066), c_Groups_Ozero__class_Ozero(_u3066)), _u3067)) | ( c_Groups_Osgn__class_Osgn(_u3066, _u3067) = c_Groups_Oone__class_Oone(_u3066)) )).
% 29.00/29.23 cnf(matrix-2292, plain, ( ~class_Rings_Olinordered__idom(_u3068) | ( c_Groups_Osgn__class_Osgn(_u3068, _u3069) != c_Groups_Oone__class_Oone(_u3068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3068), c_Groups_Ozero__class_Ozero(_u3068)), _u3069)) )).
% 29.00/29.23 cnf(matrix-2293, plain, ( ~class_Rings_Olinordered__idom(_u3068) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3068), c_Groups_Ozero__class_Ozero(_u3068)), _u3069)) | ( c_Groups_Osgn__class_Osgn(_u3068, _u3069) = c_Groups_Oone__class_Oone(_u3068)) )).
% 29.00/29.23 cnf(matrix-2294, plain, ( ~hBOOL(hAPP(_u3081, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3083, _u3085))) | ( _u3085 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3081, _u3083)) )).
% 29.00/29.23 cnf(matrix-2295, plain, ( ~hBOOL(hAPP(_u3081, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3083, _u3085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3070), _u3085)) | ( _u3083 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3085), _u3071)), _u3070)) | hBOOL(hAPP(_u3081, _u3070)) )).
% 29.00/29.23 cnf(matrix-2296, plain, ( ~hBOOL(hAPP(_u3081, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3083, _u3085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3085), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3085), _u3072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3072), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3083 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3085), _u3073)), _u3072)) | hBOOL(hAPP(_u3081, _u3072)) )).
% 29.00/29.23 cnf(matrix-2297, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = 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)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2298, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2299, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2300, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2301, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2302, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2303, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2304, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2305, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2306, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2307, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2308, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2309, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2310, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2311, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2312, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = 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)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2313, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2314, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2315, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2316, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2317, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2318, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2319, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2320, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2321, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2322, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2323, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = 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)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2324, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2325, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2326, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ( _u3086 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2327, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2328, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2329, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2330, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2331, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3086), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2332, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2333, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2334, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2335, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2336, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem55(_u3086, _u3084, _u3082)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2337, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2338, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2339, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2340, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2341, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem54(_u3086, _u3084, _u3082))), skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2342, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2343, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2344, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem53(_u3086, _u3084, _u3082)), _u3086)) )).
% 29.00/29.23 cnf(matrix-2345, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ( _u3084 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3086), skolem52(_u3086, _u3084, _u3082))), skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2346, plain, ( hBOOL(hAPP(_u3082, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3084, _u3086))) | ~hBOOL(hAPP(_u3082, skolem55(_u3086, _u3084, _u3082))) | ~hBOOL(hAPP(_u3082, _u3084)) | ~hBOOL(hAPP(_u3082, skolem53(_u3086, _u3084, _u3082))) )).
% 29.00/29.23 cnf(matrix-2347, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3088), _u3089)) | 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), _u3089), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3090, _u3087))), _u3088))) )).
% 29.00/29.23 cnf(matrix-2348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3092)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3092), _u3093)) | 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), _u3093), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3094, _u3091))), _u3092)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3093), _u3091))) )).
% 29.00/29.23 cnf(matrix-2349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3096), _u3097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3097), 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), _u3096), _u3095)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3096), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3098, _u3095))), _u3097))) )).
% 29.00/29.23 cnf(matrix-2350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3100), _u3101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3101), 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), _u3100), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3102, _u3099))), _u3101)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3105)) | ( c_SMT_Oz3mod(_u3107, _u3105) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3107, _u3105)) )).
% 29.00/29.23 cnf(matrix-2352, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3106)) | ( c_SMT_Oz3mod(_u3108, _u3106) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3108, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3106))) )).
% 29.00/29.23 cnf(matrix-2353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3113)) | ~hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3109), _u3113)) | ( _u3115 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3113), _u3110)), _u3109)) | hBOOL(hAPP(hAPP(_u3114, _u3110), _u3109)) )).
% 29.00/29.23 cnf(matrix-2354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3113)) | hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem57(_u3115, _u3114, _u3113))) )).
% 29.00/29.23 cnf(matrix-2355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3113)) | hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem57(_u3115, _u3114, _u3113)), _u3113)) )).
% 29.00/29.23 cnf(matrix-2356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3113)) | hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | ( _u3115 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3113), skolem56(_u3115, _u3114, _u3113))), skolem57(_u3115, _u3114, _u3113))) )).
% 29.00/29.23 cnf(matrix-2357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3113)) | hBOOL(hAPP(hAPP(_u3114, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3115), _u3113)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3115, _u3113))) | ~hBOOL(hAPP(hAPP(_u3114, skolem56(_u3115, _u3114, _u3113)), skolem57(_u3115, _u3114, _u3113))) )).
% 29.00/29.23 cnf(matrix-2358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), _u3116)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3116), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3122 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3120), _u3117)), _u3116)) | hBOOL(hAPP(hAPP(_u3121, _u3117), _u3116)) )).
% 29.00/29.23 cnf(matrix-2359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), skolem59(_u3122, _u3121, _u3120))) )).
% 29.00/29.23 cnf(matrix-2360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem59(_u3122, _u3121, _u3120)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | ( _u3122 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3120), skolem58(_u3122, _u3121, _u3120))), skolem59(_u3122, _u3121, _u3120))) )).
% 29.00/29.23 cnf(matrix-2362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3120), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u3121, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3122), _u3120)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3122, _u3120))) | ~hBOOL(hAPP(hAPP(_u3121, skolem58(_u3122, _u3121, _u3120)), skolem59(_u3122, _u3121, _u3120))) )).
% 29.00/29.23 cnf(matrix-2363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3123)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3125), _u3123)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3125), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3124), _u3125), _u3123))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3124, _u3125))) )).
% 29.00/29.23 cnf(matrix-2364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3126)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3127)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u3126, _u3127))) )).
% 29.00/29.23 cnf(matrix-2365, plain, ( ~hBOOL(hAPP(_u3139, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3141), _u3143))) | ( _u3143 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u3139, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2366, plain, ( ~hBOOL(hAPP(_u3139, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3141), _u3143))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3128), _u3143)) | ( _u3141 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3129)), _u3128)) | hBOOL(hAPP(_u3139, _u3129)) )).
% 29.00/29.23 cnf(matrix-2367, plain, ( ~hBOOL(hAPP(_u3139, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3141), _u3143))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3143), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3143), _u3130)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3130), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3141 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3143), _u3131)), _u3130)) | hBOOL(hAPP(_u3139, _u3131)) )).
% 29.00/29.23 cnf(matrix-2368, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2369, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2370, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2371, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2372, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2373, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2374, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2375, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2376, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2377, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2378, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2379, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2380, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2381, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2382, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2383, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2384, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2385, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2386, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2387, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2388, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2389, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2390, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2391, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2392, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2393, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2394, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2395, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2396, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2397, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ( _u3144 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2398, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2399, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2400, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2401, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2402, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3144), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2403, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2404, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2405, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2406, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2407, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem63(_u3144, _u3142, _u3140)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2408, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2409, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2410, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2411, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2412, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem62(_u3144, _u3142, _u3140))), skolem63(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2413, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2414, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, 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)), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2415, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem61(_u3144, _u3142, _u3140)), _u3144)) )).
% 29.00/29.23 cnf(matrix-2416, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u3142 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3144), skolem60(_u3144, _u3142, _u3140))), skolem61(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2417, plain, ( hBOOL(hAPP(_u3140, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3142), _u3144))) | ~hBOOL(hAPP(_u3140, skolem62(_u3144, _u3142, _u3140))) | ~hBOOL(hAPP(_u3140, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u3140, skolem60(_u3144, _u3142, _u3140))) )).
% 29.00/29.23 cnf(matrix-2418, plain, ( ( _u3145 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3146), _u3147)), _u3148)) | ( _u3146 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3145), _u3146) = _u3147) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3146), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3148), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2419, plain, ( ( _u3145 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3146), _u3147)), _u3148)) | ( _u3146 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3145), _u3146) = _u3147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3148), _u3146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3146)) )).
% 29.00/29.23 cnf(matrix-2420, plain, ( ( _u3145 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3146), _u3147)), _u3148)) | ( _u3146 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3145), _u3146) = _u3147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3148), _u3146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3146), _u3148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3148), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2421, plain, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | ( _u3158 = 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), _u3158), skolem64(_u3158, _u3156, _u3154))), _u3156)) )).
% 29.00/29.23 cnf(matrix-2422, plain, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | ( _u3158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3156), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3158), hAPP(c_Nat_OSuc, skolem64(_u3158, _u3156, _u3154))))) )).
% 29.00/29.23 cnf(matrix-2423, plain, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | ( _u3158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3154, skolem64(_u3158, _u3156, _u3154))) )).
% 29.00/29.23 cnf(matrix-2424, plain, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | hBOOL(hAPP(_u3154, 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), _u3158), skolem64(_u3158, _u3156, _u3154))), _u3156)) )).
% 29.00/29.23 cnf(matrix-2425, plain, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | hBOOL(hAPP(_u3154, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3156), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3158), hAPP(c_Nat_OSuc, skolem64(_u3158, _u3156, _u3154))))) )).
% 29.00/29.23 cnf(matrix-2426, plain, ( ~hBOOL(hAPP(_u3154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3156), _u3158))) | hBOOL(hAPP(_u3154, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3154, skolem64(_u3158, _u3156, _u3154))) )).
% 29.00/29.23 cnf(matrix-2427, plain, ( hBOOL(hAPP(_u3155, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3157), _u3159))) | ( _u3159 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3155, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2428, plain, ( hBOOL(hAPP(_u3155, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3157), _u3159))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3159), _u3150)), _u3157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3157), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3159), hAPP(c_Nat_OSuc, _u3150)))) | ~hBOOL(hAPP(_u3155, _u3150)) )).
% 29.00/29.23 cnf(matrix-2429, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3160), _u3161)), _u3162) = 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), _u3160), _u3162)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3161), _u3162))), 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, _u3160, _u3162)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3161, _u3162))), _u3162))) )).
% 29.00/29.23 cnf(matrix-2430, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3163)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3164)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3163), _u3164))) )).
% 29.00/29.23 cnf(matrix-2431, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3165), _u3166)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3165)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3166))) )).
% 29.00/29.23 cnf(matrix-2432, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3167, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), _u3169)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3168), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3167), _u3168), _u3169))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3167, _u3168))) )).
% 29.00/29.23 cnf(matrix-2433, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3170), _u3171)), _u3172) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3170), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3171), _u3172))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3170), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3171, _u3172))), _u3172))) )).
% 29.00/29.23 cnf(matrix-2434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3173), _u3174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3173), _u3175)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3174), _u3175))) )).
% 29.00/29.23 cnf(matrix-2435, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3176), _u3177)), _u3176)) )).
% 29.00/29.23 cnf(matrix-2436, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3178) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2437, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3179), _u3180) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3179, _u3180)), _u3180)) )).
% 29.00/29.23 cnf(matrix-2438, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3182), _u3183)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3181), _u3182)), _u3183)) )).
% 29.00/29.23 cnf(matrix-2439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3184), _u3185)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3184, _u3185) = _u3184) )).
% 29.00/29.23 cnf(matrix-2440, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3186, _u3187)), _u3186)) )).
% 29.00/29.23 cnf(matrix-2441, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3188, _u3189)), _u3190) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3188), _u3190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3189), _u3190))) )).
% 29.00/29.23 cnf(matrix-2442, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3191), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3192, _u3193)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3191), _u3192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3191), _u3193))) )).
% 29.00/29.23 cnf(matrix-2443, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3194), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3195)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3194)), _u3195)) )).
% 29.00/29.23 cnf(matrix-2444, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3196)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3197)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3196), _u3197)) )).
% 29.00/29.23 cnf(matrix-2445, plain, ( ~class_Divides_Osemiring__div(_u3198) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3198), c_Groups_Ozero__class_Ozero(_u3198)), _u3199) = c_Groups_Ozero__class_Ozero(_u3198)) )).
% 29.00/29.23 cnf(matrix-2446, plain, ( ~class_Divides_Osemiring__div(_u3200) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3200), _u3201), c_Groups_Ozero__class_Ozero(_u3200)) = c_Groups_Ozero__class_Ozero(_u3200)) )).
% 29.00/29.23 cnf(matrix-2447, plain, ( ~class_Divides_Osemiring__div(_u3202) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3202), _u3203), c_Groups_Oone__class_Oone(_u3202)) = _u3203) )).
% 29.00/29.23 cnf(matrix-2448, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3204)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3204), _u3205)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3204)), hAPP(c_Int_Onat, _u3205))) )).
% 29.00/29.23 cnf(matrix-2449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3207)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u3206)), hAPP(c_Int_Onat, _u3207)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3206), _u3207))) )).
% 29.00/29.23 cnf(matrix-2450, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3208), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u3208) )).
% 29.00/29.23 cnf(matrix-2451, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3209), _u3210)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3209), _u3210) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2452, plain, ( ( _u3214 != 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), _u3214), _u3216)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3214), _u3218)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2453, plain, ( ( _u3215 = 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), _u3215), _u3217)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3215), _u3219)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3217), _u3219)) )).
% 29.00/29.23 cnf(matrix-2454, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3222, _u3224)) != _u3224) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3222), _u3224) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2455, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3223, _u3225)) = _u3225) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3223), _u3225) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3223, _u3225))) )).
% 29.00/29.23 cnf(matrix-2456, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3226, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2457, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3228)) | 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), _u3227), _u3228))) )).
% 29.00/29.23 cnf(matrix-2458, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3230, _u3229)), _u3229)) )).
% 29.00/29.23 cnf(matrix-2459, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3231), 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)), _u3232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3231), _u3232)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3233), 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), _u3234), _u3233)), 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)), _u3234)) )).
% 29.00/29.23 cnf(matrix-2461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3233), 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)), _u3234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3234), _u3233)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2462, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3235)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3236), _u3235)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3236), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3235)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3236), 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), _u3236), _u3235)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2464, plain, ( ( _u3237 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3237), _u3237) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2465, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3242, _u3244) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3242 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3244), skolem65(_u3244, _u3242))) )).
% 29.00/29.23 cnf(matrix-2466, plain, ( ( _u3243 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3245), _u3239)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3243, _u3245) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2467, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3247), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2468, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3248, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3248) )).
% 29.00/29.23 cnf(matrix-2469, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3249, _u3250)), _u3250) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2470, 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), _u3251), _u3252)), _u3253), _u3252) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3253, _u3252)) )).
% 29.00/29.23 cnf(matrix-2471, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3254), _u3255)), _u3256) = 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), _u3254), _u3256)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3255), _u3256))), 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, _u3254, _u3256)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3255, _u3256))), _u3256))) )).
% 29.00/29.23 cnf(matrix-2472, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3257), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3258)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3257, _u3258))) )).
% 29.00/29.23 cnf(matrix-2473, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3259, _u3260)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3259), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3260))) )).
% 29.00/29.23 cnf(matrix-2474, plain, ( ~class_Divides_Osemiring__div(_u3261) | ( _u3262 = c_Groups_Ozero__class_Ozero(_u3261)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3261), _u3262), _u3263)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3261), _u3262), _u3264)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3261), _u3263), _u3264)) )).
% 29.00/29.23 cnf(matrix-2475, plain, ( ~class_Divides_Osemiring__div(_u3265) | ( _u3266 = c_Groups_Ozero__class_Ozero(_u3265)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3265), _u3267), _u3266)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3265), _u3268), _u3266)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3265), _u3267), _u3268)) )).
% 29.00/29.23 cnf(matrix-2476, plain, ( ~class_Divides_Osemiring__div(_u3269) | ( _u3270 = c_Groups_Ozero__class_Ozero(_u3269)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3269), _u3270), _u3271)), _u3270) = _u3271) )).
% 29.00/29.23 cnf(matrix-2477, plain, ( ~class_Divides_Osemiring__div(_u3272) | ( _u3273 = c_Groups_Ozero__class_Ozero(_u3272)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3272), _u3274), _u3273)), _u3273) = _u3274) )).
% 29.00/29.23 cnf(matrix-2478, plain, ( ~class_Divides_Osemiring__div(_u3275) | ( _u3276 != c_Groups_Ozero__class_Ozero(_u3275)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3275), _u3276), _u3277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3275), _u3276), _u3278)) = c_Groups_Ozero__class_Ozero(_u3275)) )).
% 29.00/29.23 cnf(matrix-2479, plain, ( ~class_Divides_Osemiring__div(_u3275) | ( _u3276 = c_Groups_Ozero__class_Ozero(_u3275)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3275), _u3276), _u3277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3275), _u3276), _u3278)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3275), _u3277), _u3278)) )).
% 29.00/29.23 cnf(matrix-2480, plain, ( ~class_Divides_Osemiring__div(_u3279) | ( _u3280 = c_Groups_Ozero__class_Ozero(_u3279)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3279), _u3280), _u3280) = c_Groups_Oone__class_Oone(_u3279)) )).
% 29.00/29.23 cnf(matrix-2481, plain, ( ~class_Divides_Osemiring__div(_u3281) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3281), c_Divides_Odiv__class_Omod(_u3281, _u3282, _u3283)), _u3283) = c_Groups_Ozero__class_Ozero(_u3281)) )).
% 29.00/29.23 cnf(matrix-2482, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3284), _u3285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3286), _u3285)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3286), _u3284))) )).
% 29.00/29.23 cnf(matrix-2483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3287)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3288), _u3287)), _u3287) = _u3288) )).
% 29.00/29.23 cnf(matrix-2484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3289)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3289), _u3290)), _u3289) = _u3290) )).
% 29.00/29.23 cnf(matrix-2485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3291)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3291), _u3292)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3291), _u3293)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3292), _u3293)) )).
% 29.00/29.23 cnf(matrix-2486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3295), _u3294)), _u3295)) )).
% 29.00/29.23 cnf(matrix-2487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3296), _u3297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3298), 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), _u3297), _u3298)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3296), _u3298))) )).
% 29.00/29.23 cnf(matrix-2488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3299), _u3300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3299), _u3301)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3300), _u3301))) )).
% 29.00/29.23 cnf(matrix-2489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3302), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3303), _u3302)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3302), _u3303) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3304), 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)), _u3305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3305), _u3306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3304), _u3305)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3304), _u3306))) )).
% 29.00/29.23 cnf(matrix-2491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3307), 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)), _u3308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3307), _u3308)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2492, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3309), 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), _u3310), _u3309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3310), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3309), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3310), 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), _u3310), _u3309))) )).
% 29.00/29.23 cnf(matrix-2494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3311), _u3312)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3311), _u3312) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3314), 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), _u3313), _u3314)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3316), _u3317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3315), _u3317)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3315), _u3316))) )).
% 29.00/29.23 cnf(matrix-2497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3318)) | ~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), _u3318), _u3319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3319), _u3318)) )).
% 29.00/29.23 cnf(matrix-2498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3318)) | ~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), _u3318), _u3319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3319)) )).
% 29.00/29.23 cnf(matrix-2499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3319), _u3318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3319)) | 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), _u3318), _u3319))) )).
% 29.00/29.23 cnf(matrix-2500, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3320)) | ~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), _u3321), _u3320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3320), _u3321)) )).
% 29.00/29.23 cnf(matrix-2501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3320), _u3321)) | 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), _u3321), _u3320))) )).
% 29.00/29.23 cnf(matrix-2502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3322)) | ~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), _u3323), _u3322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3323)) )).
% 29.00/29.23 cnf(matrix-2503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3323)) | 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), _u3323), _u3322))) )).
% 29.00/29.23 cnf(matrix-2504, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3326), _u3328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3328 = 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)), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3326), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2505, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3326), _u3328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3328 = 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)), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3328), _u3326)) )).
% 29.00/29.23 cnf(matrix-2506, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3326), _u3328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3328 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3326), _u3328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3326), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2507, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3326), _u3328) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3328 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3326), _u3328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3328), _u3326)) )).
% 29.00/29.23 cnf(matrix-2508, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3327), _u3329) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3329 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2509, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3327), _u3329) = 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)), _u3327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3327), _u3329)) )).
% 29.00/29.23 cnf(matrix-2510, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3327), _u3329) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3327), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3329), _u3327)) )).
% 29.00/29.23 cnf(matrix-2511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3331, _u3330)), _u3330)) )).
% 29.00/29.23 cnf(matrix-2512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u3333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3332), _u3333)), _u3332)) )).
% 29.00/29.23 cnf(matrix-2513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3334)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3336), _u3334)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3335), _u3336)), _u3334)) )).
% 29.00/29.23 cnf(matrix-2514, 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), _u3337), _u3338)), _u3339)), _u3338) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u3339), _u3338)) )).
% 29.00/29.23 cnf(matrix-2515, 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), _u3340), _u3341)), _u3341)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3340, _u3341))), _u3342) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3340), _u3342)) )).
% 29.00/29.23 cnf(matrix-2516, 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), _u3343), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3344), _u3343))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3344, _u3343))), _u3345) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3344), _u3345)) )).
% 29.00/29.23 cnf(matrix-2517, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3346), _u3347)), _u3348) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3346), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3347), _u3348))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3346), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3347, _u3348))), _u3348))) )).
% 29.00/29.23 cnf(matrix-2518, plain, ( ( _u3349 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3350), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3349), _u3350))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3349, _u3350))) )).
% 29.00/29.23 cnf(matrix-2519, plain, ( ~class_Divides_Osemiring__div(_u3351) | ( _u3352 = c_Groups_Ozero__class_Ozero(_u3351)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3351), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3351), _u3353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3351), _u3352), _u3354))), _u3352) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3351), _u3354), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3351), _u3353), _u3352))) )).
% 29.00/29.23 cnf(matrix-2520, plain, ( ~class_Divides_Osemiring__div(_u3355) | ( _u3356 = c_Groups_Ozero__class_Ozero(_u3355)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3355), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3355), _u3357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3355), _u3358), _u3356))), _u3356) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3355), _u3358), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3355), _u3357), _u3356))) )).
% 29.00/29.23 cnf(matrix-2521, plain, ( ~class_Divides_Osemiring__div(_u3359) | ( _u3360 = c_Groups_Ozero__class_Ozero(_u3359)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3359), _u3361), _u3360)), _u3360) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3359), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3359), _u3361), _u3360)), c_Groups_Oone__class_Oone(_u3359))) )).
% 29.00/29.23 cnf(matrix-2522, plain, ( ~class_Divides_Osemiring__div(_u3362) | ( _u3363 = c_Groups_Ozero__class_Ozero(_u3362)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), _u3363), _u3364)), _u3363) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3362), _u3364), _u3363)), c_Groups_Oone__class_Oone(_u3362))) )).
% 29.00/29.23 cnf(matrix-2523, plain, ( ~class_Divides_Osemiring__div(_u3365) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3365), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3365), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3365), _u3366), _u3367)), _u3367)), c_Divides_Odiv__class_Omod(_u3365, _u3366, _u3367))), _u3368) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3365), _u3366), _u3368)) )).
% 29.00/29.23 cnf(matrix-2524, plain, ( ~class_Divides_Osemiring__div(_u3369) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3369), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3369), _u3370), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3369), _u3371), _u3370))), c_Divides_Odiv__class_Omod(_u3369, _u3371, _u3370))), _u3372) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3369), _u3371), _u3372)) )).
% 29.00/29.23 cnf(matrix-2525, plain, ( ~class_Divides_Osemiring__div(_u3373) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3373), _u3374), _u3375)), _u3375)), c_Divides_Odiv__class_Omod(_u3373, _u3374, _u3375)) = _u3374) )).
% 29.00/29.23 cnf(matrix-2526, plain, ( ~class_Divides_Osemiring__div(_u3376) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3376), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3376), _u3377), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3376), _u3378), _u3377))), c_Divides_Odiv__class_Omod(_u3376, _u3378, _u3377)) = _u3378) )).
% 29.00/29.23 cnf(matrix-2527, plain, ( ~class_Divides_Osemiring__div(_u3379) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), c_Divides_Odiv__class_Omod(_u3379, _u3380, _u3381)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3379), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3379), _u3380), _u3381)), _u3381)) = _u3380) )).
% 29.00/29.23 cnf(matrix-2528, plain, ( ~hBOOL(hAPP(_u3389, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3391), _u3393))) | ( _u3393 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3389, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2529, plain, ( ~hBOOL(hAPP(_u3389, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3391), _u3393))) | ( _u3393 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3382), _u3393)) | ( _u3391 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3393), _u3383)), _u3382)) | hBOOL(hAPP(_u3389, _u3383)) )).
% 29.00/29.23 cnf(matrix-2530, plain, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ( _u3394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem67(_u3394, _u3392, _u3390)), _u3394)) )).
% 29.00/29.23 cnf(matrix-2531, plain, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ( _u3394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3392 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3394), skolem66(_u3394, _u3392, _u3390))), skolem67(_u3394, _u3392, _u3390))) )).
% 29.00/29.23 cnf(matrix-2532, plain, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ( _u3394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3390, skolem66(_u3394, _u3392, _u3390))) )).
% 29.00/29.23 cnf(matrix-2533, plain, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ~hBOOL(hAPP(_u3390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3394 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2534, plain, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ~hBOOL(hAPP(_u3390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem67(_u3394, _u3392, _u3390)), _u3394)) )).
% 29.00/29.23 cnf(matrix-2535, plain, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ~hBOOL(hAPP(_u3390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3392 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3394), skolem66(_u3394, _u3392, _u3390))), skolem67(_u3394, _u3392, _u3390))) )).
% 29.00/29.23 cnf(matrix-2536, plain, ( hBOOL(hAPP(_u3390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3392), _u3394))) | ~hBOOL(hAPP(_u3390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3390, skolem66(_u3394, _u3392, _u3390))) )).
% 29.00/29.23 cnf(matrix-2537, plain, ( ~hBOOL(hAPP(_u3402, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3404, _u3406))) | ( _u3406 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u3402, _u3404)) )).
% 29.00/29.23 cnf(matrix-2538, plain, ( ~hBOOL(hAPP(_u3402, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3404, _u3406))) | ( _u3406 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3395), _u3406)) | ( _u3404 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3406), _u3396)), _u3395)) | hBOOL(hAPP(_u3402, _u3395)) )).
% 29.00/29.23 cnf(matrix-2539, plain, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem69(_u3407, _u3405, _u3403)), _u3407)) )).
% 29.00/29.23 cnf(matrix-2540, plain, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3405 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3407), skolem68(_u3407, _u3405, _u3403))), skolem69(_u3407, _u3405, _u3403))) )).
% 29.00/29.23 cnf(matrix-2541, plain, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u3403, skolem69(_u3407, _u3405, _u3403))) )).
% 29.00/29.23 cnf(matrix-2542, plain, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ~hBOOL(hAPP(_u3403, _u3405)) | ( _u3407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2543, plain, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ~hBOOL(hAPP(_u3403, _u3405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem69(_u3407, _u3405, _u3403)), _u3407)) )).
% 29.00/29.23 cnf(matrix-2544, plain, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ~hBOOL(hAPP(_u3403, _u3405)) | ( _u3405 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3407), skolem68(_u3407, _u3405, _u3403))), skolem69(_u3407, _u3405, _u3403))) )).
% 29.00/29.23 cnf(matrix-2545, plain, ( hBOOL(hAPP(_u3403, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3405, _u3407))) | ~hBOOL(hAPP(_u3403, _u3405)) | ~hBOOL(hAPP(_u3403, skolem69(_u3407, _u3405, _u3403))) )).
% 29.00/29.23 cnf(matrix-2546, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3408)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3409), _u3410)) | 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), _u3410), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3411, _u3408))), _u3409)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3410), _u3408))) )).
% 29.00/29.23 cnf(matrix-2547, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3412)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3412), _u3413)), _u3412) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2548, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3415)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3414, _u3415)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3414), hAPP(c_Int_Onat, _u3415))) )).
% 29.00/29.23 cnf(matrix-2549, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3417)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u3416), hAPP(c_Int_Onat, _u3417)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3416, _u3417))) )).
% 29.00/29.23 cnf(matrix-2550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3418), _u3419)), _u3420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3418), hAPP(c_Nat_OSuc, _u3419)))) | ( _u3419 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3420), _u3418)) )).
% 29.00/29.23 cnf(matrix-2551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3418)) | ( _u3419 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3420), _u3418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3418), _u3419)), _u3420)) )).
% 29.00/29.23 cnf(matrix-2552, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3418)) | ( _u3419 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3420), _u3418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3418), hAPP(c_Nat_OSuc, _u3419)))) )).
% 29.00/29.23 cnf(matrix-2553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3423)) | ( c_SMT_Oz3div(_u3425, _u3423) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3425), _u3423)) )).
% 29.00/29.23 cnf(matrix-2554, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3424)) | ( c_SMT_Oz3div(_u3426, _u3424) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3426), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3424)))) )).
% 29.00/29.23 cnf(matrix-2555, plain, ( ( _u3427 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3428, _u3427) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3428), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3427)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3428), _u3427))) )).
% 29.00/29.23 cnf(matrix-2556, plain, ( ( _u3427 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3428, _u3427) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3428), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3427)) = 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), _u3428), _u3427))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2557, plain, ( ( _u3429 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3430, _u3429) != 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), _u3430)), _u3429) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3430), _u3429))) )).
% 29.00/29.23 cnf(matrix-2558, plain, ( ( _u3429 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3430, _u3429) = 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), _u3430)), _u3429) = 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), _u3430), _u3429))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3431), _u3432)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3432), _u3431) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3432), _u3431)), _u3431))) )).
% 29.00/29.23 cnf(matrix-2560, plain, ( ~class_Divides_Osemiring__div(_u3433) | ( _u3434 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3433), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3433), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u3433), _u3434), _u3435)), _u3435)), c_Divides_Odiv__class_Omod(_u3433, _u3434, _u3435))) )).
% 29.00/29.23 cnf(matrix-2561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3437)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3436)), hAPP(c_Int_Onat, _u3437)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u3436, _u3437))) )).
% 29.00/29.23 cnf(matrix-2562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3442)) | ~hBOOL(hAPP(_u3441, _u3439)) | hBOOL(hAPP(_u3441, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3442), _u3440)))) | hBOOL(hAPP(_u3441, skolem70(_u3442, _u3441, _u3440))) )).
% 29.00/29.23 cnf(matrix-2563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3442)) | ~hBOOL(hAPP(_u3441, _u3439)) | hBOOL(hAPP(_u3441, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3442), _u3440)))) | ~hBOOL(hAPP(_u3441, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem70(_u3442, _u3441, _u3440)), _u3440))) )).
% 29.00/29.23 cnf(matrix-2564, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3444), _u3445), _u3446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3444), c_Groups_Ozero__class_Ozero(_u3444)), skolem71(_u3446, _u3445, _u3444))) )).
% 29.00/29.23 cnf(matrix-2565, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3444), _u3445), _u3446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3444), skolem71(_u3446, _u3445, _u3444)), c_Groups_Oone__class_Oone(_u3444))) )).
% 29.00/29.23 cnf(matrix-2566, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3444), _u3445), _u3446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3444), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3444), skolem71(_u3446, _u3445, _u3444)), _u3445)), _u3446)) )).
% 29.00/29.23 cnf(matrix-2567, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3447), _u3448)), _u3449) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3447), _u3449)), _u3448)) )).
% 29.00/29.23 cnf(matrix-2568, plain, ( ~class_Groups_Oab__group__add(_u3450) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3450), _u3451), _u3452) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3450), _u3453), _u3454)) | ( _u3451 != _u3452) | ( _u3453 = _u3454) )).
% 29.00/29.23 cnf(matrix-2569, plain, ( ~class_Groups_Oab__group__add(_u3450) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3450), _u3451), _u3452) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3450), _u3453), _u3454)) | ( _u3453 != _u3454) | ( _u3451 = _u3452) )).
% 29.00/29.23 cnf(matrix-2570, plain, ( ~class_Rings_Oring__1(_u3455) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3455), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3456), _u3457)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3455), hAPP(c_Int_Oring__1__class_Oof__int(_u3455), _u3456)), hAPP(c_Int_Oring__1__class_Oof__int(_u3455), _u3457))) )).
% 29.00/29.23 cnf(matrix-2571, plain, ( ~class_Groups_Ominus(_u3458) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3459, _u3458)), _u3460), _u3461), _u3462) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3458), hAPP(_u3460, _u3462)), hAPP(_u3461, _u3462))) )).
% 29.00/29.23 cnf(matrix-2572, plain, ( ~class_Rings_Oring__1(_u3463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3464), _u3465)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3463), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3465), _u3464)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3463), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3463), _u3465)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3463), _u3464))) )).
% 29.00/29.23 cnf(matrix-2573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3466), _u3467)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3467)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3466)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3467), _u3466))) )).
% 29.00/29.23 cnf(matrix-2574, plain, ( ~class_Groups_Oordered__ab__group__add(_u3468) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3468), _u3469), _u3470) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3468), _u3471), _u3472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3468), _u3469), _u3470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3468), _u3471), _u3472)) )).
% 29.00/29.23 cnf(matrix-2575, plain, ( ~class_Groups_Oordered__ab__group__add(_u3468) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3468), _u3469), _u3470) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3468), _u3471), _u3472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3468), _u3471), _u3472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3468), _u3469), _u3470)) )).
% 29.00/29.23 cnf(matrix-2576, plain, ( ~class_Groups_Ogroup__add(_u3473) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3473), _u3474), _u3475) != c_Groups_Ozero__class_Ozero(_u3473)) | ( _u3474 = _u3475) )).
% 29.00/29.23 cnf(matrix-2577, plain, ( ~class_Groups_Ogroup__add(_u3473) | ( _u3474 != _u3475) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3473), _u3474), _u3475) = c_Groups_Ozero__class_Ozero(_u3473)) )).
% 29.00/29.23 cnf(matrix-2578, plain, ( ~class_Groups_Oab__group__add(_u3476) | ( _u3477 != _u3478) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3476), _u3477), _u3478) = c_Groups_Ozero__class_Ozero(_u3476)) )).
% 29.00/29.23 cnf(matrix-2579, plain, ( ~class_Groups_Oab__group__add(_u3476) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3476), _u3477), _u3478) != c_Groups_Ozero__class_Ozero(_u3476)) | ( _u3477 = _u3478) )).
% 29.00/29.23 cnf(matrix-2580, plain, ( ~class_Groups_Ogroup__add(_u3479) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3479), _u3480), _u3480) = c_Groups_Ozero__class_Ozero(_u3479)) )).
% 29.00/29.23 cnf(matrix-2581, plain, ( ~class_Groups_Ogroup__add(_u3481) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3481), _u3482), c_Groups_Ozero__class_Ozero(_u3481)) = _u3482) )).
% 29.00/29.23 cnf(matrix-2582, plain, ( ~class_Groups_Oordered__ab__group__add(_u3483) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3483), _u3484), _u3485) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3483), _u3486), _u3487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), _u3484), _u3485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), _u3486), _u3487)) )).
% 29.00/29.23 cnf(matrix-2583, plain, ( ~class_Groups_Oordered__ab__group__add(_u3483) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3483), _u3484), _u3485) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3483), _u3486), _u3487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), _u3486), _u3487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), _u3484), _u3485)) )).
% 29.00/29.23 cnf(matrix-2584, plain, ( ~class_Groups_Ogroup__add(_u3488) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3488), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3488), _u3489), _u3490)), _u3490) = _u3489) )).
% 29.00/29.23 cnf(matrix-2585, plain, ( ~class_Groups_Ogroup__add(_u3491) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3491), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3491), _u3492), _u3493)), _u3493) = _u3492) )).
% 29.00/29.23 cnf(matrix-2586, plain, ( ~class_Groups_Oab__group__add(_u3494) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3494), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3494), _u3495), _u3496)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3494), _u3496), _u3495)) )).
% 29.00/29.23 cnf(matrix-2587, plain, ( ~class_Divides_Oring__div(_u3497) | ( c_Divides_Odiv__class_Omod(_u3497, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3497), _u3498), _u3499), _u3500) = c_Divides_Odiv__class_Omod(_u3497, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3497), _u3498), c_Divides_Odiv__class_Omod(_u3497, _u3499, _u3500)), _u3500)) )).
% 29.00/29.23 cnf(matrix-2588, plain, ( ~class_Divides_Oring__div(_u3501) | ( c_Divides_Odiv__class_Omod(_u3501, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3501), _u3502), _u3503), _u3504) = c_Divides_Odiv__class_Omod(_u3501, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3501), c_Divides_Odiv__class_Omod(_u3501, _u3502, _u3504)), _u3503), _u3504)) )).
% 29.00/29.23 cnf(matrix-2589, plain, ( ~class_Divides_Oring__div(_u3505) | ( c_Divides_Odiv__class_Omod(_u3505, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3505), _u3506), _u3507), _u3508) = c_Divides_Odiv__class_Omod(_u3505, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3505), c_Divides_Odiv__class_Omod(_u3505, _u3506, _u3508)), c_Divides_Odiv__class_Omod(_u3505, _u3507, _u3508)), _u3508)) )).
% 29.00/29.23 cnf(matrix-2590, plain, ( ~class_Divides_Oring__div(_u3509) | ( c_Divides_Odiv__class_Omod(_u3509, _u3510, _u3511) != c_Divides_Odiv__class_Omod(_u3509, _u3512, _u3511)) | ( c_Divides_Odiv__class_Omod(_u3509, _u3513, _u3511) != c_Divides_Odiv__class_Omod(_u3509, _u3514, _u3511)) | ( c_Divides_Odiv__class_Omod(_u3509, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3509), _u3510), _u3513), _u3511) = c_Divides_Odiv__class_Omod(_u3509, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3509), _u3512), _u3514), _u3511)) )).
% 29.00/29.23 cnf(matrix-2591, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3515), _u3516) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3516), _u3515) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3515 = _u3516) )).
% 29.00/29.23 cnf(matrix-2592, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3517), _u3517) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2593, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3518), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3518) )).
% 29.00/29.23 cnf(matrix-2594, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3519) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2595, 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, _u3520)), _u3521)), hAPP(c_Nat_OSuc, _u3522)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3520), _u3521)), _u3522)) )).
% 29.00/29.23 cnf(matrix-2596, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3523)), hAPP(c_Nat_OSuc, _u3524)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3523), _u3524)) )).
% 29.00/29.23 cnf(matrix-2597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3525), _u3526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3525), _u3527)), _u3526)) )).
% 29.00/29.23 cnf(matrix-2598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3528), _u3529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3528), _u3530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3530), _u3529)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3530), _u3528))) )).
% 29.00/29.23 cnf(matrix-2599, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3531), _u3532)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3531, _u3532) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3531), _u3532), _u3532)) )).
% 29.00/29.23 cnf(matrix-2600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3535), _u3537)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3535, _u3537) = _u3535) )).
% 29.00/29.23 cnf(matrix-2601, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3536), _u3538)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3536, _u3538) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3536), _u3538), _u3538)) )).
% 29.00/29.23 cnf(matrix-2602, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3539), _u3540)), _u3540) = _u3539) )).
% 29.00/29.23 cnf(matrix-2603, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3541), _u3542)), _u3541) = _u3542) )).
% 29.00/29.23 cnf(matrix-2604, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3543), _u3544)), _u3545) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3543), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3544), _u3545))) )).
% 29.00/29.23 cnf(matrix-2605, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3546), _u3547)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3546), _u3548)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3547), _u3548)) )).
% 29.00/29.23 cnf(matrix-2606, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3549), _u3550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3551), _u3550)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3549), _u3551)) )).
% 29.00/29.23 cnf(matrix-2607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3552)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3554), _u3552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3553), _u3554)) )).
% 29.00/29.23 cnf(matrix-2608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3552), _u3554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3553), _u3554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3552)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3554), _u3552))) )).
% 29.00/29.23 cnf(matrix-2609, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3555), _u3557)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3556), _u3555)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3557), _u3555)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3556), _u3557)) )).
% 29.00/29.23 cnf(matrix-2610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3560)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3559), _u3558) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3560), _u3558)) | ( _u3559 = _u3560) )).
% 29.00/29.23 cnf(matrix-2611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3558), _u3560)) | ( _u3559 != _u3560) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3559), _u3558) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3560), _u3558)) )).
% 29.00/29.23 cnf(matrix-2612, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3561), _u3562)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3562), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3562), _u3561)) = _u3561) )).
% 29.00/29.23 cnf(matrix-2613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3563), _u3564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3563), _u3565)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3564), _u3565))) )).
% 29.00/29.23 cnf(matrix-2614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3566), _u3567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3568), _u3567)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3568), _u3566))) )).
% 29.00/29.23 cnf(matrix-2615, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3569), _u3570)), _u3569)) )).
% 29.00/29.23 cnf(matrix-2616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3571), _u3572)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3572, _u3571) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3572), _u3571), _u3571)) )).
% 29.00/29.23 cnf(matrix-2617, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3573), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3574), _u3575)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3573), _u3574)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3573), _u3575))) )).
% 29.00/29.23 cnf(matrix-2618, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3576), _u3577)), _u3578) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3576), _u3578)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3577), _u3578))) )).
% 29.00/29.23 cnf(matrix-2619, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3579), _u3580)), _u3581) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3579), _u3581)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3580), _u3581))) )).
% 29.00/29.23 cnf(matrix-2620, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3583), _u3584)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3582), _u3583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3582), _u3584))) )).
% 29.00/29.23 cnf(matrix-2621, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3585), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3586, _u3587)), _u3587) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3585), _u3586), _u3587)) )).
% 29.00/29.23 cnf(matrix-2622, 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, _u3588, _u3589)), _u3590), _u3589) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3588), _u3590), _u3589)) )).
% 29.00/29.23 cnf(matrix-2623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3591), _u3592)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3592), _u3591)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u3592)), hAPP(c_Int_Onat, _u3591))) )).
% 29.00/29.23 cnf(matrix-2624, plain, ( ~hBOOL(hAPP(_u3596, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3598), _u3600)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3600), _u3598)) | hBOOL(hAPP(_u3596, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3598)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3600)))) )).
% 29.00/29.23 cnf(matrix-2625, plain, ( ~hBOOL(hAPP(_u3596, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3598), _u3600)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3598), _u3600)) | hBOOL(hAPP(_u3596, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2626, plain, ( hBOOL(hAPP(_u3597, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3601)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3601), _u3599)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3599), _u3601)) )).
% 29.00/29.23 cnf(matrix-2627, plain, ( hBOOL(hAPP(_u3597, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3601)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3601), _u3599)) | ~hBOOL(hAPP(_u3597, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2628, plain, ( hBOOL(hAPP(_u3597, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3601)))) | ~hBOOL(hAPP(_u3597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3599)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3601)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3599), _u3601)) )).
% 29.00/29.23 cnf(matrix-2629, plain, ( hBOOL(hAPP(_u3597, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3601)))) | ~hBOOL(hAPP(_u3597, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3599)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3601)))) | ~hBOOL(hAPP(_u3597, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2630, plain, ( ~class_Groups_Oordered__ab__group__add(_u3602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), _u3603), _u3604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3602), _u3603), _u3604)), c_Groups_Ozero__class_Ozero(_u3602))) )).
% 29.00/29.23 cnf(matrix-2631, plain, ( ~class_Groups_Oordered__ab__group__add(_u3602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3602), _u3603), _u3604)), c_Groups_Ozero__class_Ozero(_u3602))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), _u3603), _u3604)) )).
% 29.00/29.23 cnf(matrix-2632, plain, ( ~class_Groups_Oordered__ab__group__add(_u3605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3605), _u3606), _u3607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3605), _u3606), _u3607)), c_Groups_Ozero__class_Ozero(_u3605))) )).
% 29.00/29.23 cnf(matrix-2633, plain, ( ~class_Groups_Oordered__ab__group__add(_u3605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3605), _u3606), _u3607)), c_Groups_Ozero__class_Ozero(_u3605))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3605), _u3606), _u3607)) )).
% 29.00/29.23 cnf(matrix-2634, plain, ( ~class_Rings_Oring(_u3608) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), _u3609), _u3610)), _u3611) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), _u3612), _u3610)), _u3613)) | ( _u3611 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3608), _u3612), _u3609)), _u3610)), _u3613)) )).
% 29.00/29.23 cnf(matrix-2635, plain, ( ~class_Rings_Oring(_u3608) | ( _u3611 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3608), _u3612), _u3609)), _u3610)), _u3613)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), _u3609), _u3610)), _u3611) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3608), _u3612), _u3610)), _u3613)) )).
% 29.00/29.23 cnf(matrix-2636, plain, ( ~class_Rings_Oring(_u3614) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), _u3615), _u3616)), _u3617) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), _u3618), _u3616)), _u3619)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3614), _u3615), _u3618)), _u3616)), _u3617) = _u3619) )).
% 29.00/29.23 cnf(matrix-2637, plain, ( ~class_Rings_Oring(_u3614) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3614), _u3615), _u3618)), _u3616)), _u3617) != _u3619) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), _u3615), _u3616)), _u3617) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3614), _u3618), _u3616)), _u3619)) )).
% 29.00/29.23 cnf(matrix-2638, plain, ( ~class_Groups_Ogroup__add(_u3620) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3620), c_Groups_Ozero__class_Ozero(_u3620)), _u3621) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3620), _u3621)) )).
% 29.00/29.23 cnf(matrix-2639, plain, ( ~class_Rings_Ocomm__ring__1(_u3622) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3622), _u3623), _u3624) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3622), _u3623), hAPP(c_Groups_Ouminus__class_Ouminus(_u3622), _u3624))) )).
% 29.00/29.23 cnf(matrix-2640, plain, ( ~class_Groups_Ogroup__add(_u3625) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3625), _u3626), _u3627) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3625), _u3626), hAPP(c_Groups_Ouminus__class_Ouminus(_u3625), _u3627))) )).
% 29.00/29.23 cnf(matrix-2641, plain, ( ~class_Groups_Oab__group__add(_u3628) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3628), _u3629), _u3630) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3628), _u3629), hAPP(c_Groups_Ouminus__class_Ouminus(_u3628), _u3630))) )).
% 29.00/29.23 cnf(matrix-2642, plain, ( ~class_Groups_Ogroup__add(_u3631) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3631), _u3632), hAPP(c_Groups_Ouminus__class_Ouminus(_u3631), _u3633)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3631), _u3632), _u3633)) )).
% 29.00/29.23 cnf(matrix-2643, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3636), _u3638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3636), _u3638)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2644, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3637), _u3639)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3637), _u3639)) )).
% 29.00/29.23 cnf(matrix-2645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3641), _u3640)), _u3641)) )).
% 29.00/29.23 cnf(matrix-2646, 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), _u3644), _u3646))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3646), _u3644)) )).
% 29.00/29.23 cnf(matrix-2647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3647), _u3645)) | 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), _u3645), _u3647))) )).
% 29.00/29.23 cnf(matrix-2648, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3648), _u3649)), hAPP(c_Nat_OSuc, _u3648))) )).
% 29.00/29.23 cnf(matrix-2649, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3650), _u3651)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2650, 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), _u3652), _u3653) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2651, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3656), _u3658) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3656), _u3658)) )).
% 29.00/29.23 cnf(matrix-2652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3657), _u3659)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3657), _u3659) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3665), _u3667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3663), _u3667)), _u3665)) )).
% 29.00/29.23 cnf(matrix-2654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3664), _u3668)), _u3666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3666), _u3668))) )).
% 29.00/29.23 cnf(matrix-2655, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3669), _u3670)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3670), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3669), _u3670)) = _u3669) )).
% 29.00/29.23 cnf(matrix-2656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3671), _u3672)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3672)), _u3671) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3672), _u3671))) )).
% 29.00/29.23 cnf(matrix-2657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3673), _u3674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3673), _u3675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3674), _u3673)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3675), _u3673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3674), _u3675)) )).
% 29.00/29.23 cnf(matrix-2658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3673), _u3674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3673), _u3675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3674), _u3675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3674), _u3673)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3675), _u3673))) )).
% 29.00/29.23 cnf(matrix-2659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3676), _u3677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3678), _u3676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3676), _u3678)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3677), _u3678))) )).
% 29.00/29.23 cnf(matrix-2660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3679), _u3680)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3680), _u3681)), _u3679) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3680), _u3679)), _u3681)) )).
% 29.00/29.23 cnf(matrix-2661, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682)), _u3684) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3683), _u3684)), _u3682)) )).
% 29.00/29.23 cnf(matrix-2662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3685), _u3686)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3687), _u3686)), _u3685) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3687), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3686), _u3685))) )).
% 29.00/29.23 cnf(matrix-2663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3688), _u3689)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3688) != _u3690) | ( _u3689 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3690), _u3688)) )).
% 29.00/29.23 cnf(matrix-2664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3688), _u3689)) | ( _u3689 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3690), _u3688)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3688) = _u3690) )).
% 29.00/29.23 cnf(matrix-2665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3691), _u3692)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3692), _u3691)), _u3691) = _u3692) )).
% 29.00/29.23 cnf(matrix-2666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3693), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3695), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3694), _u3693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), _u3693)), _u3694)) )).
% 29.00/29.23 cnf(matrix-2667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3693), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), _u3693)), _u3694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3695), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3694), _u3693))) )).
% 29.00/29.23 cnf(matrix-2668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3696), _u3697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3698), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3697), _u3696)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3698), _u3697)), _u3696)) )).
% 29.00/29.23 cnf(matrix-2669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3699), _u3700)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3700), _u3699)) = _u3700) )).
% 29.00/29.23 cnf(matrix-2670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3701), _u3702)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3703), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3702), _u3703)), _u3701))) )).
% 29.00/29.23 cnf(matrix-2671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3707), _u3709)), _u3711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3707), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3711), _u3709))) )).
% 29.00/29.23 cnf(matrix-2672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3708), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3712), _u3710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3708), _u3710)), _u3712)) )).
% 29.00/29.23 cnf(matrix-2673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3713), _u3714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3715), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3714), _u3713)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3715), _u3713)), _u3714)) )).
% 29.00/29.23 cnf(matrix-2674, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3716), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3717)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3716), _u3717)) )).
% 29.00/29.23 cnf(matrix-2675, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3718), _u3719) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3718), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3719))) )).
% 29.00/29.23 cnf(matrix-2676, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3720)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3720) )).
% 29.00/29.23 cnf(matrix-2677, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3721), hAPP(c_Nat_OSuc, _u3722)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3721), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3722)) )).
% 29.00/29.23 cnf(matrix-2678, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3723), _u3724)), _u3724) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3723), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3723, _u3724))) )).
% 29.00/29.23 cnf(matrix-2679, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3725), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3726), _u3725)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3726), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3726, _u3725))) )).
% 29.00/29.23 cnf(matrix-2680, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3727, _u3728) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3727), _u3728)), _u3728))) )).
% 29.00/29.23 cnf(matrix-2681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3729), _u3730)) | ( c_Nat__Transfer_Otsub(_u3730, _u3729) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3730), _u3729)) )).
% 29.00/29.23 cnf(matrix-2682, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3731), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3732)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3731), _u3732))) )).
% 29.00/29.23 cnf(matrix-2683, plain, ( ~class_Rings_Oordered__ring(_u3733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), _u3734), _u3735)), _u3736)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), _u3737), _u3735)), _u3738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3733), _u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3733), _u3737), _u3734)), _u3735)), _u3738))) )).
% 29.00/29.23 cnf(matrix-2684, plain, ( ~class_Rings_Oordered__ring(_u3733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3733), _u3736), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3733), _u3737), _u3734)), _u3735)), _u3738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), _u3734), _u3735)), _u3736)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3733), _u3737), _u3735)), _u3738))) )).
% 29.00/29.23 cnf(matrix-2685, plain, ( ~class_Rings_Oordered__ring(_u3739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), _u3740), _u3741)), _u3742)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), _u3743), _u3741)), _u3744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3739), _u3740), _u3743)), _u3741)), _u3742)), _u3744)) )).
% 29.00/29.23 cnf(matrix-2686, plain, ( ~class_Rings_Oordered__ring(_u3739) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3739), _u3740), _u3743)), _u3741)), _u3742)), _u3744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3739), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), _u3740), _u3741)), _u3742)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3739), _u3743), _u3741)), _u3744))) )).
% 29.00/29.23 cnf(matrix-2687, plain, ( ~class_Rings_Oordered__ring(_u3745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), _u3746), _u3747)), _u3748)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), _u3749), _u3747)), _u3750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3745), _u3746), _u3749)), _u3747)), _u3748)), _u3750)) )).
% 29.00/29.23 cnf(matrix-2688, plain, ( ~class_Rings_Oordered__ring(_u3745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3745), _u3746), _u3749)), _u3747)), _u3748)), _u3750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3745), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), _u3746), _u3747)), _u3748)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3745), _u3749), _u3747)), _u3750))) )).
% 29.00/29.23 cnf(matrix-2689, plain, ( ~class_Rings_Oordered__ring(_u3751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), _u3752), _u3753)), _u3754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), _u3755), _u3753)), _u3756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3751), _u3754), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3751), _u3755), _u3752)), _u3753)), _u3756))) )).
% 29.00/29.23 cnf(matrix-2690, plain, ( ~class_Rings_Oordered__ring(_u3751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3751), _u3754), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3751), _u3755), _u3752)), _u3753)), _u3756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), _u3752), _u3753)), _u3754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3751), _u3755), _u3753)), _u3756))) )).
% 29.00/29.23 cnf(matrix-2691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3757)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3757), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u3757) )).
% 29.00/29.23 cnf(matrix-2692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3758), hAPP(c_Nat_OSuc, _u3759))), _u3758)) )).
% 29.00/29.23 cnf(matrix-2693, plain, ( ~hBOOL(hAPP(_u3765, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3767), _u3769))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3767), _u3769)) | hBOOL(hAPP(_u3765, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2694, plain, ( ~hBOOL(hAPP(_u3765, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3767), _u3769))) | ( _u3767 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3769), _u3760)) | hBOOL(hAPP(_u3765, _u3760)) )).
% 29.00/29.23 cnf(matrix-2695, plain, ( hBOOL(hAPP(_u3766, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3768), _u3770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3768), _u3770)) | ( _u3768 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3770), skolem72(_u3770, _u3768, _u3766))) )).
% 29.00/29.23 cnf(matrix-2696, plain, ( hBOOL(hAPP(_u3766, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3768), _u3770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3768), _u3770)) | ~hBOOL(hAPP(_u3766, skolem72(_u3770, _u3768, _u3766))) )).
% 29.00/29.23 cnf(matrix-2697, plain, ( hBOOL(hAPP(_u3766, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3768), _u3770))) | ~hBOOL(hAPP(_u3766, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3768 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3770), skolem72(_u3770, _u3768, _u3766))) )).
% 29.00/29.23 cnf(matrix-2698, plain, ( hBOOL(hAPP(_u3766, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3768), _u3770))) | ~hBOOL(hAPP(_u3766, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3766, skolem72(_u3770, _u3768, _u3766))) )).
% 29.00/29.23 cnf(matrix-2699, plain, ( ~hBOOL(hAPP(_u3776, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3778), _u3780))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3778), _u3780)) | hBOOL(hAPP(_u3776, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2700, plain, ( ~hBOOL(hAPP(_u3776, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3778), _u3780))) | ( _u3778 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3780), _u3771)) | hBOOL(hAPP(_u3776, _u3771)) )).
% 29.00/29.23 cnf(matrix-2701, plain, ( hBOOL(hAPP(_u3777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3779), _u3781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3779), _u3781)) | ( _u3779 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3781), skolem73(_u3781, _u3779, _u3777))) )).
% 29.00/29.23 cnf(matrix-2702, plain, ( hBOOL(hAPP(_u3777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3779), _u3781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3779), _u3781)) | ~hBOOL(hAPP(_u3777, skolem73(_u3781, _u3779, _u3777))) )).
% 29.00/29.23 cnf(matrix-2703, plain, ( hBOOL(hAPP(_u3777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3779), _u3781))) | ~hBOOL(hAPP(_u3777, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3779 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3781), skolem73(_u3781, _u3779, _u3777))) )).
% 29.00/29.23 cnf(matrix-2704, plain, ( hBOOL(hAPP(_u3777, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3779), _u3781))) | ~hBOOL(hAPP(_u3777, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3777, skolem73(_u3781, _u3779, _u3777))) )).
% 29.00/29.23 cnf(matrix-2705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3784), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3786), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3784), _u3786)) )).
% 29.00/29.23 cnf(matrix-2706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3785), _u3787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3785), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3787), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 29.00/29.23 cnf(matrix-2707, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3788), _u3789)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3789), _u3788))), _u3790) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3789)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3788), _u3790))) )).
% 29.00/29.23 cnf(matrix-2708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3791), _u3792)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3793), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3792), _u3791))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3793), _u3791)), hAPP(c_Nat_OSuc, _u3792))) )).
% 29.00/29.23 cnf(matrix-2709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3794), _u3795)) | ~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), _u3795), _u3796)), _u3797)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3794), _u3796)), _u3798))) | 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), _u3795), _u3794)), _u3796)), _u3797)), _u3798)) )).
% 29.00/29.23 cnf(matrix-2710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3794), _u3795)) | ~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), _u3795), _u3794)), _u3796)), _u3797)), _u3798)) | 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), _u3795), _u3796)), _u3797)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3794), _u3796)), _u3798))) )).
% 29.00/29.23 cnf(matrix-2711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3799), _u3800)) | ( 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), _u3800), _u3801)), _u3802)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3799), _u3801)), _u3803)) = 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), _u3800), _u3799)), _u3801)), _u3802)), _u3803)) )).
% 29.00/29.23 cnf(matrix-2712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3804), _u3805)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3805), _u3806)), _u3807) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3804), _u3806)), _u3808)) | ( 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), _u3805), _u3804)), _u3806)), _u3807) = _u3808) )).
% 29.00/29.23 cnf(matrix-2713, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3804), _u3805)) | ( 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), _u3805), _u3804)), _u3806)), _u3807) != _u3808) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3805), _u3806)), _u3807) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3804), _u3806)), _u3808)) )).
% 29.00/29.23 cnf(matrix-2714, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3809), _u3810)) | ~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), _u3809), _u3811)), _u3812)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3810), _u3811)), _u3813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3812), 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), _u3810), _u3809)), _u3811)), _u3813))) )).
% 29.00/29.23 cnf(matrix-2715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3809), _u3810)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3812), 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), _u3810), _u3809)), _u3811)), _u3813))) | 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), _u3809), _u3811)), _u3812)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3810), _u3811)), _u3813))) )).
% 29.00/29.23 cnf(matrix-2716, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3814), _u3815)) | ( 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), _u3814), _u3816)), _u3817)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3815), _u3816)), _u3818)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3817), 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), _u3815), _u3814)), _u3816)), _u3818))) )).
% 29.00/29.23 cnf(matrix-2717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3819), _u3820)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3819), _u3821)), _u3822) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3820), _u3821)), _u3823)) | ( _u3822 = 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), _u3820), _u3819)), _u3821)), _u3823)) )).
% 29.00/29.23 cnf(matrix-2718, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3819), _u3820)) | ( _u3822 != 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), _u3820), _u3819)), _u3821)), _u3823)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3819), _u3821)), _u3822) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3820), _u3821)), _u3823)) )).
% 29.00/29.23 cnf(matrix-2719, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3826, _u3828) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3826, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3828)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2720, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3827, _u3829) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3827, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u3829)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3827, _u3829)), _u3829)) )).
% 29.00/29.23 cnf(matrix-2721, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3832, _u3834) != 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), _u3832), _u3834) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2722, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3833, _u3835) = 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), _u3833), _u3835) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3835), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3833, _u3835))) )).
% 29.00/29.23 cnf(matrix-2723, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3836, _u3837) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3836), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3836), _u3837)), _u3837))) )).
% 29.00/29.23 cnf(matrix-2724, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3838), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u3839), _u3838)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3839), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3839, _u3838))) )).
% 29.00/29.23 cnf(matrix-2725, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3842), _u3844)) | ( c_Nat__Transfer_Otsub(_u3844, _u3842) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3844), _u3842)) )).
% 29.00/29.23 cnf(matrix-2726, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u3843), _u3845)) | ( c_Nat__Transfer_Otsub(_u3845, _u3843) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3846)) | ( _u3846 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3846), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 29.00/29.23 cnf(matrix-2728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3847)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3847), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u3847) )).
% 29.00/29.23 cnf(matrix-2729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3848), _u3849)) | ~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), _u3849), _u3850)), _u3851)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3848), _u3850)), _u3852))) | 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), _u3849), _u3848)), _u3850)), _u3851)), _u3852)) )).
% 29.00/29.23 cnf(matrix-2730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3848), _u3849)) | ~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), _u3849), _u3848)), _u3850)), _u3851)), _u3852)) | 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), _u3849), _u3850)), _u3851)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3848), _u3850)), _u3852))) )).
% 29.00/29.23 cnf(matrix-2731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3854)) | ~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), _u3853), _u3855)), _u3856)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3854), _u3855)), _u3857))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3856), 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), _u3854), _u3853)), _u3855)), _u3857))) )).
% 29.00/29.23 cnf(matrix-2732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3853), _u3854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3856), 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), _u3854), _u3853)), _u3855)), _u3857))) | 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), _u3853), _u3855)), _u3856)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3854), _u3855)), _u3857))) )).
% 29.00/29.23 cnf(matrix-2733, plain, ( ( _u3860 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3860), _u3862) = _u3862) )).
% 29.00/29.23 cnf(matrix-2734, plain, ( ( _u3861 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3861), _u3863) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3861), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3863))) )).
% 29.00/29.23 cnf(matrix-2735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3865), _u3864)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3865), _u3864) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2736, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3865), _u3864)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3865), _u3864) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3865), _u3864)), _u3864))) )).
% 29.00/29.23 cnf(matrix-2737, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3867), _u3866)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u3867), _u3866) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3867), _u3866)), _u3866))) )).
% 29.00/29.23 cnf(matrix-2738, plain, ( ( _u3870 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3870), _u3872) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2739, plain, ( ( _u3871 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3871), _u3873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3873), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3871), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3873))) )).
% 29.00/29.23 cnf(matrix-2740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3875)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3875), _u3874)), _u3875) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3874), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 29.00/29.23 cnf(matrix-2741, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3878)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3880)) | ~hBOOL(hAPP(_u3879, _u3877)) | hBOOL(hAPP(_u3879, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3877), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3880), _u3878)))) | hBOOL(hAPP(_u3879, skolem74(_u3880, _u3879, _u3878))) )).
% 29.00/29.23 cnf(matrix-2742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3878)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3880)) | ~hBOOL(hAPP(_u3879, _u3877)) | hBOOL(hAPP(_u3879, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3877), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u3880), _u3878)))) | ~hBOOL(hAPP(_u3879, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem74(_u3880, _u3879, _u3878)), _u3878))) )).
% 29.00/29.23 cnf(matrix-2743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u3882), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u3883), 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), _u3883), _u3882))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3881)))) )).
% 29.00/29.23 cnf(matrix-2744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u3885), 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), _u3885), _u3886))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u3884))), _u3886)) )).
% 29.00/29.23 cnf(matrix-2745, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3888, _u3889) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3890, _u3889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3890), _u3888)) | ( _u3888 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3890), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3889), skolem75(_u3890, _u3889, _u3888)))) )).
% 29.00/29.23 cnf(matrix-2746, plain, ( ~hBOOL(hAPP(_u3893, _u3894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3894), _u3892)) | hBOOL(hAPP(_u3893, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem76(_u3894, _u3893, _u3892)), _u3892)) )).
% 29.00/29.23 cnf(matrix-2747, plain, ( ~hBOOL(hAPP(_u3893, _u3894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3894), _u3892)) | hBOOL(hAPP(_u3893, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u3893, skolem76(_u3894, _u3893, _u3892))) )).
% 29.00/29.23 cnf(matrix-2748, plain, ( ~hBOOL(hAPP(_u3893, _u3894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3894), _u3892)) | hBOOL(hAPP(_u3893, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3893, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem76(_u3894, _u3893, _u3892)), _u3892))) )).
% 29.00/29.23 cnf(matrix-2749, 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), _u3895))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3895) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3895)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 29.00/29.23 cnf(matrix-2750, plain, ( ~class_Fields_Olinordered__field(_u3897) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3897), _u3898), _u3899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3897), c_Groups_Ozero__class_Ozero(_u3897)), skolem77(_u3899, _u3898, _u3897))) )).
% 29.00/29.23 cnf(matrix-2751, plain, ( ~class_Fields_Olinordered__field(_u3897) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3897), _u3898), _u3899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3897), _u3898), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3897), _u3899), skolem77(_u3899, _u3898, _u3897)))) )).
% 29.00/29.23 cnf(matrix-2752, plain, ( ~class_Rings_Oring__1(_u3900) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3900), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3901), _u3902)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3900), hAPP(c_Int_Oring__1__class_Oof__int(_u3900), _u3901)), _u3902)) )).
% 29.00/29.23 cnf(matrix-2753, plain, ( ~class_Int_Onumber__ring(_u3903) | ~class_Int_Oring__char__0(_u3903) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3903), _u3904) != hAPP(c_Int_Onumber__class_Onumber__of(_u3903), _u3905)) | ( _u3904 = _u3905) )).
% 29.00/29.23 cnf(matrix-2754, plain, ( ~class_Int_Onumber__ring(_u3903) | ~class_Int_Oring__char__0(_u3903) | ( _u3904 != _u3905) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3903), _u3904) = hAPP(c_Int_Onumber__class_Onumber__of(_u3903), _u3905)) )).
% 29.00/29.23 cnf(matrix-2755, plain, ( ~class_Int_Onumber(_u3906) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3906), _u3907) != _u3908) | ( _u3908 = hAPP(c_Int_Onumber__class_Onumber__of(_u3906), _u3907)) )).
% 29.00/29.23 cnf(matrix-2756, plain, ( ~class_Int_Onumber(_u3906) | ( _u3908 != hAPP(c_Int_Onumber__class_Onumber__of(_u3906), _u3907)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3906), _u3907) = _u3908) )).
% 29.00/29.23 cnf(matrix-2757, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3909) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3909), hAPP(c_Groups_Oabs__class_Oabs(_u3909), _u3910)) = hAPP(c_Groups_Oabs__class_Oabs(_u3909), _u3910)) )).
% 29.00/29.23 cnf(matrix-2758, plain, ( ~class_Int_Onumber__ring(_u3911) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u3911), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u3912)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3911), _u3912)) )).
% 29.00/29.23 cnf(matrix-2759, 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), _u3913)), _u3914))) )).
% 29.00/29.23 cnf(matrix-2760, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), hAPP(c_Groups_Oabs__class_Oabs(_u3915), _u3916)), _u3917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), _u3916), _u3917)) )).
% 29.00/29.23 cnf(matrix-2761, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3918) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3918), _u3919), hAPP(c_Groups_Oabs__class_Oabs(_u3918), _u3919))) )).
% 29.00/29.23 cnf(matrix-2762, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3920) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3920), c_Groups_Ozero__class_Ozero(_u3920)) = c_Groups_Ozero__class_Ozero(_u3920)) )).
% 29.00/29.23 cnf(matrix-2763, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3921) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3921), _u3922) != c_Groups_Ozero__class_Ozero(_u3921)) | ( _u3922 = c_Groups_Ozero__class_Ozero(_u3921)) )).
% 29.00/29.23 cnf(matrix-2764, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3921) | ( _u3922 != c_Groups_Ozero__class_Ozero(_u3921)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3921), _u3922) = c_Groups_Ozero__class_Ozero(_u3921)) )).
% 29.00/29.23 cnf(matrix-2765, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3923) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3923), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3923), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3924)), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3925))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3923), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3924)), hAPP(c_Groups_Oabs__class_Oabs(_u3923), _u3925))) )).
% 29.00/29.23 cnf(matrix-2766, plain, ( ~class_Rings_Olinordered__idom(_u3926) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3926), hAPP(c_Groups_Oabs__class_Oabs(_u3926), _u3927)), hAPP(c_Groups_Oabs__class_Oabs(_u3926), _u3927)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3926), _u3927), _u3927)) )).
% 29.00/29.23 cnf(matrix-2767, plain, ( ~class_Rings_Olinordered__idom(_u3928) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3928), _u3929), _u3930)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3928), hAPP(c_Groups_Oabs__class_Oabs(_u3928), _u3929)), hAPP(c_Groups_Oabs__class_Oabs(_u3928), _u3930))) )).
% 29.00/29.23 cnf(matrix-2768, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3931) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3931), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3931), _u3932), _u3933)) = hAPP(c_Groups_Oabs__class_Oabs(_u3931), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3931), _u3933), _u3932))) )).
% 29.00/29.23 cnf(matrix-2769, plain, ( ~class_Rings_Olinordered__idom(_u3934) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3934), c_Groups_Oone__class_Oone(_u3934)) = c_Groups_Oone__class_Oone(_u3934)) )).
% 29.00/29.23 cnf(matrix-2770, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3935) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3935), hAPP(c_Groups_Ouminus__class_Ouminus(_u3935), _u3936)) = hAPP(c_Groups_Oabs__class_Oabs(_u3935), _u3936)) )).
% 29.00/29.23 cnf(matrix-2771, plain, ( ~class_Rings_Ocomm__semiring__1(_u3937) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3937), _u3938), _u3939)), _u3940) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3937), hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), _u3938), _u3940)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3937), _u3939), _u3940))) )).
% 29.00/29.23 cnf(matrix-2772, plain, ( ~class_Rings_Olinordered__idom(_u3941) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3941), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3941), _u3942)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3941), _u3942)) )).
% 29.00/29.23 cnf(matrix-2773, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3943, tc_HOL_Obool)), _u3944), _u3944) = c_Orderings_Obot__class_Obot(tc_fun(_u3943, tc_HOL_Obool))) )).
% 29.00/29.23 cnf(matrix-2774, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3945, tc_HOL_Obool)), _u3946), c_Orderings_Obot__class_Obot(tc_fun(_u3945, tc_HOL_Obool))) = _u3946) )).
% 29.00/29.23 cnf(matrix-2775, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3947, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u3947, tc_HOL_Obool))), _u3948) = c_Orderings_Obot__class_Obot(tc_fun(_u3947, tc_HOL_Obool))) )).
% 29.00/29.23 cnf(matrix-2776, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3949)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u3949)) )).
% 29.00/29.23 cnf(matrix-2777, plain, ( ~class_Rings_Ocomm__semiring__1(_u3950) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3950), hAPP(hAPP(c_Power_Opower__class_Opower(_u3950), _u3951), _u3952)), _u3953) = hAPP(hAPP(c_Power_Opower__class_Opower(_u3950), _u3951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3952), _u3953))) )).
% 29.00/29.23 cnf(matrix-2778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3954, tc_HOL_Obool)), _u3955), _u3956)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3954, tc_HOL_Obool)), _u3956), _u3957)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3954, tc_HOL_Obool)), _u3956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3954, tc_HOL_Obool)), _u3957), _u3955)) = _u3955) )).
% 29.00/29.23 cnf(matrix-2779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3958, tc_HOL_Obool)), _u3959), _u3960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3958, tc_HOL_Obool)), _u3961), _u3962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3958, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3958, tc_HOL_Obool)), _u3959), _u3962)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3958, tc_HOL_Obool)), _u3960), _u3961))) )).
% 29.00/29.23 cnf(matrix-2780, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3963, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3963, tc_HOL_Obool)), _u3964), _u3965)), _u3964)) )).
% 29.00/29.23 cnf(matrix-2781, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3966), _u3967)), _u3968) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3967), _u3968))) )).
% 29.00/29.23 cnf(matrix-2782, plain, ( ~class_Rings_Ocomm__semiring__1(_u3969) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u3969), _u3970), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3970) )).
% 29.00/29.23 cnf(matrix-2783, 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, _u3971, _u3972)), _u3973), _u3972) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3971), _u3973), _u3972)) )).
% 29.00/29.23 cnf(matrix-2784, plain, ( ~class_Int_Onumber__ring(_u3974) | ~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), _u3975))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3974), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3975)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3974), _u3975)) )).
% 29.00/29.23 cnf(matrix-2785, plain, ( ~class_Int_Onumber__ring(_u3974) | 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), _u3975))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u3974), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u3975)) = c_Groups_Ozero__class_Ozero(_u3974)) )).
% 29.00/29.23 cnf(matrix-2786, plain, ( ~class_Int_Onumber__ring(_u3976) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u3976), _u3977) = hAPP(c_Int_Oring__1__class_Oof__int(_u3976), _u3977)) )).
% 29.00/29.23 cnf(matrix-2787, plain, ( ~class_Int_Onumber__ring(_u3978) | ~class_Rings_Olinordered__idom(_u3978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)), c_Groups_Ozero__class_Ozero(_u3978))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979))) )).
% 29.00/29.23 cnf(matrix-2788, plain, ( ~class_Int_Onumber__ring(_u3978) | ~class_Rings_Olinordered__idom(_u3978) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)), c_Groups_Ozero__class_Ozero(_u3978))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3978), hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)) = hAPP(c_Int_Onumber__class_Onumber__of(_u3978), _u3979)) )).
% 29.00/29.23 cnf(matrix-2789, 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), _u3982)), _u3984))) | ( _u3982 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3984 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2790, 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), _u3983)), _u3985))) | ( _u3983 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2791, 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), _u3983)), _u3985))) | ( _u3985 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2792, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3986), c_Groups_Ozero__class_Ozero(_u3986)), _u3987)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3986), _u3987) = _u3987) )).
% 29.00/29.23 cnf(matrix-2793, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3988), hAPP(c_Groups_Oabs__class_Oabs(_u3988), _u3989)), c_Groups_Ozero__class_Ozero(_u3988))) | ( _u3989 = c_Groups_Ozero__class_Ozero(_u3988)) )).
% 29.00/29.23 cnf(matrix-2794, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3988) | ( _u3989 != c_Groups_Ozero__class_Ozero(_u3988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3988), hAPP(c_Groups_Oabs__class_Oabs(_u3988), _u3989)), c_Groups_Ozero__class_Ozero(_u3988))) )).
% 29.00/29.23 cnf(matrix-2795, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3990), c_Groups_Ozero__class_Ozero(_u3990)), hAPP(c_Groups_Oabs__class_Oabs(_u3990), _u3991))) )).
% 29.00/29.23 cnf(matrix-2796, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3992) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3992), c_Groups_Ozero__class_Ozero(_u3992)), _u3993)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u3992), _u3993) = _u3993) )).
% 29.00/29.23 cnf(matrix-2797, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3994) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3994), c_Groups_Ozero__class_Ozero(_u3994)), hAPP(c_Groups_Oabs__class_Oabs(_u3994), _u3995))) | ( _u3995 != c_Groups_Ozero__class_Ozero(_u3994)) )).
% 29.00/29.23 cnf(matrix-2798, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3994) | ( _u3995 = c_Groups_Ozero__class_Ozero(_u3994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3994), c_Groups_Ozero__class_Ozero(_u3994)), hAPP(c_Groups_Oabs__class_Oabs(_u3994), _u3995))) )).
% 29.00/29.23 cnf(matrix-2799, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3996), hAPP(c_Groups_Oabs__class_Oabs(_u3996), _u3997)), c_Groups_Ozero__class_Ozero(_u3996))) )).
% 29.00/29.23 cnf(matrix-2800, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u3998) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3998), hAPP(c_Groups_Oabs__class_Oabs(_u3998), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3998), _u3999), _u4000))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3998), hAPP(c_Groups_Oabs__class_Oabs(_u3998), _u3999)), hAPP(c_Groups_Oabs__class_Oabs(_u3998), _u4000)))) )).
% 29.00/29.23 cnf(matrix-2801, plain, ( ~class_Rings_Olinordered__idom(_u4001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4001), hAPP(c_Groups_Oabs__class_Oabs(_u4001), _u4002)), _u4003)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4001), hAPP(c_Groups_Oabs__class_Oabs(_u4001), _u4004)), _u4005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4001), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4001), hAPP(c_Groups_Oabs__class_Oabs(_u4001), _u4002)), hAPP(c_Groups_Oabs__class_Oabs(_u4001), _u4004))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4001), _u4003), _u4005))) )).
% 29.00/29.23 cnf(matrix-2802, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4006), hAPP(c_Groups_Oabs__class_Oabs(_u4006), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4006), hAPP(c_Groups_Oabs__class_Oabs(_u4006), _u4007)), hAPP(c_Groups_Oabs__class_Oabs(_u4006), _u4008)))), hAPP(c_Groups_Oabs__class_Oabs(_u4006), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4006), _u4007), _u4008)))) )).
% 29.00/29.23 cnf(matrix-2803, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4009) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4009), hAPP(c_Groups_Oabs__class_Oabs(_u4009), _u4010)), hAPP(c_Groups_Oabs__class_Oabs(_u4009), _u4011))), hAPP(c_Groups_Oabs__class_Oabs(_u4009), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4009), _u4010), _u4011)))) )).
% 29.00/29.23 cnf(matrix-2804, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4012) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4012), hAPP(c_Groups_Oabs__class_Oabs(_u4012), _u4013)), hAPP(c_Groups_Oabs__class_Oabs(_u4012), _u4014))), hAPP(c_Groups_Oabs__class_Oabs(_u4012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4012), _u4014), _u4013)))) )).
% 29.00/29.23 cnf(matrix-2805, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4015) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4015), hAPP(c_Groups_Ouminus__class_Ouminus(_u4015), _u4016)), hAPP(c_Groups_Oabs__class_Oabs(_u4015), _u4016))) )).
% 29.00/29.23 cnf(matrix-2806, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Oabs__class_Oabs(_u4017), _u4018)), _u4019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), _u4018), _u4019)) )).
% 29.00/29.23 cnf(matrix-2807, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Oabs__class_Oabs(_u4017), _u4018)), _u4019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Ouminus__class_Ouminus(_u4017), _u4018)), _u4019)) )).
% 29.00/29.23 cnf(matrix-2808, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), _u4018), _u4019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Ouminus__class_Ouminus(_u4017), _u4018)), _u4019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), hAPP(c_Groups_Oabs__class_Oabs(_u4017), _u4018)), _u4019)) )).
% 29.00/29.23 cnf(matrix-2809, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4020), _u4021), _u4022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4020), hAPP(c_Groups_Ouminus__class_Ouminus(_u4020), _u4021)), _u4022)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4020), hAPP(c_Groups_Oabs__class_Oabs(_u4020), _u4021)), _u4022)) )).
% 29.00/29.23 cnf(matrix-2810, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4023), hAPP(c_Groups_Oabs__class_Oabs(_u4023), _u4024)), _u4025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4023), hAPP(c_Groups_Ouminus__class_Ouminus(_u4023), _u4024)), _u4025)) )).
% 29.00/29.23 cnf(matrix-2811, plain, ( ~class_Rings_Olinordered__idom(_u4026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Oabs__class_Oabs(_u4026), _u4027)), _u4028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), _u4027), _u4028)) )).
% 29.00/29.23 cnf(matrix-2812, plain, ( ~class_Rings_Olinordered__idom(_u4026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Oabs__class_Oabs(_u4026), _u4027)), _u4028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Ouminus__class_Ouminus(_u4026), _u4027)), _u4028)) )).
% 29.00/29.23 cnf(matrix-2813, plain, ( ~class_Rings_Olinordered__idom(_u4026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), _u4027), _u4028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Ouminus__class_Ouminus(_u4026), _u4027)), _u4028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4026), hAPP(c_Groups_Oabs__class_Oabs(_u4026), _u4027)), _u4028)) )).
% 29.00/29.23 cnf(matrix-2814, plain, ( ~class_Int_Onumber(_u4029) | ~class_Orderings_Olinorder(_u4029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4030)), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4031))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4031)), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4030))) )).
% 29.00/29.23 cnf(matrix-2815, plain, ( ~class_Int_Onumber(_u4029) | ~class_Orderings_Olinorder(_u4029) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4031)), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4029), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4030)), hAPP(c_Int_Onumber__class_Onumber__of(_u4029), _u4031))) )).
% 29.00/29.23 cnf(matrix-2816, plain, ( ~class_Int_Onumber(_u4032) | ~class_Rings_Osemiring(_u4032) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4032), _u4034), _u4035)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4032), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), _u4034)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), hAPP(c_Int_Onumber__class_Onumber__of(_u4032), _u4033)), _u4035))) )).
% 29.00/29.23 cnf(matrix-2817, plain, ( ~class_Int_Onumber(_u4036) | ~class_Rings_Osemiring(_u4036) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), _u4037), _u4038)), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4039)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4037), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4039))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4038), hAPP(c_Int_Onumber__class_Onumber__of(_u4036), _u4039)))) )).
% 29.00/29.23 cnf(matrix-2818, plain, ( ~class_Rings_Ocomm__semiring__1(_u4040) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4040), _u4041), hAPP(c_Nat_OSuc, _u4042)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4041), hAPP(hAPP(c_Power_Opower__class_Opower(_u4040), _u4041), _u4042))) )).
% 29.00/29.23 cnf(matrix-2819, plain, ( ~class_Rings_Ocomm__semiring__1(_u4043) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4043), _u4044), hAPP(hAPP(c_Power_Opower__class_Opower(_u4043), _u4044), _u4045)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4043), _u4044), hAPP(c_Nat_OSuc, _u4045))) )).
% 29.00/29.23 cnf(matrix-2820, plain, ( ~class_Rings_Ocomm__semiring__1(_u4046) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4046), hAPP(hAPP(c_Power_Opower__class_Opower(_u4046), _u4047), _u4048)), _u4047) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4046), _u4047), hAPP(c_Nat_OSuc, _u4048))) )).
% 29.00/29.23 cnf(matrix-2821, plain, ( ~class_Int_Onumber(_u4049) | ~class_Rings_Oring(_u4049) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4049), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4049), _u4050), _u4051)), hAPP(c_Int_Onumber__class_Onumber__of(_u4049), _u4052)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4049), _u4050), hAPP(c_Int_Onumber__class_Onumber__of(_u4049), _u4052))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4049), _u4051), hAPP(c_Int_Onumber__class_Onumber__of(_u4049), _u4052)))) )).
% 29.00/29.23 cnf(matrix-2822, plain, ( ~class_Int_Onumber(_u4053) | ~class_Rings_Oring(_u4053) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4053), hAPP(c_Int_Onumber__class_Onumber__of(_u4053), _u4054)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4053), _u4055), _u4056)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4053), hAPP(c_Int_Onumber__class_Onumber__of(_u4053), _u4054)), _u4055)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4053), hAPP(c_Int_Onumber__class_Onumber__of(_u4053), _u4054)), _u4056))) )).
% 29.00/29.23 cnf(matrix-2823, plain, ( ~class_Int_Onumber__ring(_u4057) | ~class_Rings_Olinordered__idom(_u4057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4057), hAPP(c_Int_Onumber__class_Onumber__of(_u4057), _u4058)), hAPP(c_Int_Onumber__class_Onumber__of(_u4057), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4058), _u4059)) )).
% 29.00/29.23 cnf(matrix-2824, plain, ( ~class_Int_Onumber__ring(_u4057) | ~class_Rings_Olinordered__idom(_u4057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4058), _u4059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4057), hAPP(c_Int_Onumber__class_Onumber__of(_u4057), _u4058)), hAPP(c_Int_Onumber__class_Onumber__of(_u4057), _u4059))) )).
% 29.00/29.23 cnf(matrix-2825, plain, ( ~class_Rings_Ocomm__semiring__1(_u4060) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4060), _u4061), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4060)) )).
% 29.00/29.23 cnf(matrix-2826, plain, ( ~class_Rings_Ocomm__semiring__1(_u4062) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4062), hAPP(hAPP(c_Power_Opower__class_Opower(_u4062), _u4063), _u4064)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4062), _u4063), _u4065)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4062), _u4063), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4064), _u4065))) )).
% 29.00/29.23 cnf(matrix-2827, plain, ( ~class_Int_Onumber__ring(_u4066) | ~class_Rings_Olinordered__idom(_u4066) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4066), hAPP(c_Int_Onumber__class_Onumber__of(_u4066), _u4067)), hAPP(c_Int_Onumber__class_Onumber__of(_u4066), _u4068))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4067), _u4068)) )).
% 29.00/29.23 cnf(matrix-2828, plain, ( ~class_Int_Onumber__ring(_u4066) | ~class_Rings_Olinordered__idom(_u4066) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4067), _u4068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4066), hAPP(c_Int_Onumber__class_Onumber__of(_u4066), _u4067)), hAPP(c_Int_Onumber__class_Onumber__of(_u4066), _u4068))) )).
% 29.00/29.23 cnf(matrix-2829, plain, ( ~class_Int_Onumber__ring(_u4069) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4069), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4070), _u4071)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4069), hAPP(c_Int_Onumber__class_Onumber__of(_u4069), _u4070)), hAPP(c_Int_Onumber__class_Onumber__of(_u4069), _u4071))) )).
% 29.00/29.23 cnf(matrix-2830, plain, ( ~class_Int_Onumber__ring(_u4072) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4072), hAPP(c_Int_Onumber__class_Onumber__of(_u4072), _u4073)), hAPP(c_Int_Onumber__class_Onumber__of(_u4072), _u4074)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4072), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4073), _u4074))) )).
% 29.00/29.23 cnf(matrix-2831, plain, ( ~class_Int_Onumber__ring(_u4075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4075), hAPP(c_Int_Onumber__class_Onumber__of(_u4075), _u4076)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4075), hAPP(c_Int_Onumber__class_Onumber__of(_u4075), _u4077)), _u4078)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4075), hAPP(c_Int_Onumber__class_Onumber__of(_u4075), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4076), _u4077))), _u4078)) )).
% 29.00/29.23 cnf(matrix-2832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4079)) | 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), _u4079), _u4080))) )).
% 29.00/29.23 cnf(matrix-2833, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u4081), _u4082), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4081, tc_HOL_Obool)), _u4083), hAPP(hAPP(c_Set_Oinsert(_u4081), _u4082), c_Orderings_Obot__class_Obot(tc_fun(_u4081, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u4081), _u4082), _u4083)) )).
% 29.00/29.23 cnf(matrix-2834, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4084, tc_HOL_Obool)), _u4085), hAPP(hAPP(c_Set_Oinsert(_u4084), _u4086), _u4087)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4084, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4084, tc_HOL_Obool)), _u4085), hAPP(hAPP(c_Set_Oinsert(_u4084), _u4086), c_Orderings_Obot__class_Obot(tc_fun(_u4084, tc_HOL_Obool))))), _u4087)) )).
% 29.00/29.23 cnf(matrix-2835, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4088, tc_HOL_Obool)), _u4089), hAPP(hAPP(c_Set_Oinsert(_u4088), _u4090), _u4091)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4088, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4088, tc_HOL_Obool)), _u4089), _u4091)), hAPP(hAPP(c_Set_Oinsert(_u4088), _u4090), c_Orderings_Obot__class_Obot(tc_fun(_u4088, tc_HOL_Obool))))) )).
% 29.00/29.23 cnf(matrix-2836, plain, ( ~class_Int_Onumber__ring(_u4092) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4092), hAPP(c_Int_Onumber__class_Onumber__of(_u4092), _u4093)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4092), hAPP(c_Int_Onumber__class_Onumber__of(_u4092), _u4094)), _u4095)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4092), hAPP(c_Int_Onumber__class_Onumber__of(_u4092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4093), _u4094))), _u4095)) )).
% 29.00/29.23 cnf(matrix-2837, plain, ( ~class_Int_Onumber__ring(_u4096) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4096), hAPP(c_Int_Onumber__class_Onumber__of(_u4096), _u4097)), hAPP(c_Int_Onumber__class_Onumber__of(_u4096), _u4098)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4096), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4097), _u4098))) )).
% 29.00/29.23 cnf(matrix-2838, plain, ( ~class_Int_Onumber__ring(_u4099) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4099), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4100), _u4101)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4099), hAPP(c_Int_Onumber__class_Onumber__of(_u4099), _u4100)), hAPP(c_Int_Onumber__class_Onumber__of(_u4099), _u4101))) )).
% 29.00/29.23 cnf(matrix-2839, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4102), _u4103)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4102) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2840, plain, ( ~class_Int_Onumber__ring(_u4104) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4104), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4105), _u4106)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4104), hAPP(c_Int_Onumber__class_Onumber__of(_u4104), _u4105)), hAPP(c_Int_Onumber__class_Onumber__of(_u4104), _u4106))) )).
% 29.00/29.23 cnf(matrix-2841, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4107), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4108), _u4109)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4107), _u4108)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4107), _u4109))) )).
% 29.00/29.23 cnf(matrix-2842, plain, ( ~class_Int_Onumber__ring(_u4110) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4110), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4111)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4110), hAPP(c_Int_Onumber__class_Onumber__of(_u4110), _u4111))) )).
% 29.00/29.23 cnf(matrix-2843, plain, ( ~class_Int_Onumber__ring(_u4112) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4112), hAPP(c_Int_Onumber__class_Onumber__of(_u4112), _u4113)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4112), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4113))) )).
% 29.00/29.23 cnf(matrix-2844, plain, ( ~class_Rings_Olinordered__idom(_u4114) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4114), _u4115) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4114), _u4115), c_Groups_Osgn__class_Osgn(_u4114, _u4115))) )).
% 29.00/29.23 cnf(matrix-2845, plain, ( ~class_Rings_Olinordered__idom(_u4116) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4116), c_Groups_Osgn__class_Osgn(_u4116, _u4117)), hAPP(c_Groups_Oabs__class_Oabs(_u4116), _u4117)) = _u4117) )).
% 29.00/29.23 cnf(matrix-2846, plain, ( ~class_Rings_Olinordered__idom(_u4118) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4118), c_Groups_Ozero__class_Ozero(_u4118)), _u4119)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(c_Groups_Oabs__class_Oabs(_u4118), _u4120)), _u4119) = hAPP(c_Groups_Oabs__class_Oabs(_u4118), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), _u4120), _u4119))) )).
% 29.00/29.23 cnf(matrix-2847, plain, ( ~class_Rings_Oordered__ring__abs(_u4121) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), _u4122), _u4123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4122)), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), _u4122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), _u4123)) )).
% 29.00/29.23 cnf(matrix-2848, plain, ( ~class_Rings_Oordered__ring__abs(_u4121) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), _u4122), _u4123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4122)), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), _u4122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4123), c_Groups_Ozero__class_Ozero(_u4121))) )).
% 29.00/29.23 cnf(matrix-2849, plain, ( ~class_Rings_Oordered__ring__abs(_u4121) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), _u4122), _u4123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4122)), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), c_Groups_Ozero__class_Ozero(_u4121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), _u4123)) )).
% 29.00/29.23 cnf(matrix-2850, plain, ( ~class_Rings_Oordered__ring__abs(_u4121) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), _u4122), _u4123)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4122)), hAPP(c_Groups_Oabs__class_Oabs(_u4121), _u4123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), c_Groups_Ozero__class_Ozero(_u4121))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4123), c_Groups_Ozero__class_Ozero(_u4121))) )).
% 29.00/29.23 cnf(matrix-2851, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4124) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4124), hAPP(c_Groups_Oabs__class_Oabs(_u4124), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4124), _u4125), _u4126))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4124), hAPP(c_Groups_Oabs__class_Oabs(_u4124), _u4125)), hAPP(c_Groups_Oabs__class_Oabs(_u4124), _u4126)))) )).
% 29.00/29.23 cnf(matrix-2852, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4127) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4127), hAPP(c_Groups_Oabs__class_Oabs(_u4127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4127), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4127), _u4128), _u4129)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4127), _u4130), _u4131)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4127), hAPP(c_Groups_Oabs__class_Oabs(_u4127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4127), _u4128), _u4130))), hAPP(c_Groups_Oabs__class_Oabs(_u4127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4127), _u4129), _u4131))))) )).
% 29.00/29.23 cnf(matrix-2853, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4132), _u4133), c_Groups_Ozero__class_Ozero(_u4132))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4132), _u4133) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4132), _u4133)) )).
% 29.00/29.23 cnf(matrix-2854, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4134), hAPP(c_Groups_Ouminus__class_Ouminus(_u4134), hAPP(c_Groups_Oabs__class_Oabs(_u4134), _u4135))), c_Groups_Ozero__class_Ozero(_u4134))) )).
% 29.00/29.23 cnf(matrix-2855, plain, ( ~class_Groups_Oabs__if(_u4136) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4136), _u4137), c_Groups_Ozero__class_Ozero(_u4136))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4136), _u4137) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4136), _u4137)) )).
% 29.00/29.23 cnf(matrix-2856, plain, ( ~class_Groups_Oabs__if(_u4136) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4136), _u4137), c_Groups_Ozero__class_Ozero(_u4136))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4136), _u4137) = _u4137) )).
% 29.00/29.23 cnf(matrix-2857, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u4138) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4138), _u4139), c_Groups_Ozero__class_Ozero(_u4138))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4138), _u4139) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4138), _u4139)) )).
% 29.00/29.23 cnf(matrix-2858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4141)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u4141 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2859, plain, ( ( _u4142 != 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), _u4142)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2860, plain, ( ~class_Int_Onumber__ring(_u4143) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4143), hAPP(c_Int_Onumber__class_Onumber__of(_u4143), _u4144)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4143), hAPP(c_Int_Onumber__class_Onumber__of(_u4143), _u4145)), _u4146)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4143), hAPP(c_Int_Onumber__class_Onumber__of(_u4143), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4144), _u4145))), _u4146)) )).
% 29.00/29.23 cnf(matrix-2861, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4148), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4148) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4148)) )).
% 29.00/29.23 cnf(matrix-2862, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4149), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4149) = _u4149) )).
% 29.00/29.23 cnf(matrix-2863, plain, ( ~class_Int_Onumber__ring(_u4150) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4150), hAPP(c_Groups_Ouminus__class_Ouminus(_u4150), hAPP(c_Int_Onumber__class_Onumber__of(_u4150), _u4151))), _u4152) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4150), hAPP(c_Int_Onumber__class_Onumber__of(_u4150), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4151))), _u4152)) )).
% 29.00/29.23 cnf(matrix-2864, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4153), _u4154))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4153))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u4154)))) )).
% 29.00/29.23 cnf(matrix-2865, plain, ( ~class_Int_Onumber__ring(_u4155) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4155), hAPP(c_Int_Onumber__class_Onumber__of(_u4155), _u4156)), hAPP(c_Int_Onumber__class_Onumber__of(_u4155), _u4157)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4155), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4156), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4157)))) )).
% 29.00/29.23 cnf(matrix-2866, plain, ( ~class_Int_Onumber__ring(_u4158) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4158), hAPP(c_Int_Onumber__class_Onumber__of(_u4158), _u4159)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4158), _u4160), hAPP(c_Int_Onumber__class_Onumber__of(_u4158), _u4161))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4158), hAPP(c_Int_Onumber__class_Onumber__of(_u4158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4159), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4161)))), _u4160)) )).
% 29.00/29.23 cnf(matrix-2867, plain, ( ~class_Rings_Olinordered__semidom(_u4162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4162), _u4163), _u4164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4162), c_Groups_Ozero__class_Ozero(_u4162)), _u4163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4162), hAPP(hAPP(c_Power_Opower__class_Opower(_u4162), _u4163), _u4165)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4162), _u4164), _u4165))) )).
% 29.00/29.23 cnf(matrix-2868, plain, ( ~class_Rings_Olinordered__semidom(_u4166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4166), c_Groups_Oone__class_Oone(_u4166)), _u4167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4166), c_Groups_Oone__class_Oone(_u4166)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4166), _u4167), _u4168))) )).
% 29.00/29.23 cnf(matrix-2869, plain, ( ~class_Rings_Olinordered__semidom(_u4169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4169), c_Groups_Oone__class_Oone(_u4169)), _u4170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4169), hAPP(hAPP(c_Power_Opower__class_Opower(_u4169), _u4170), _u4171)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4169), _u4170), _u4172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4171), _u4172)) )).
% 29.00/29.23 cnf(matrix-2870, plain, ( ~class_Rings_Olinordered__semidom(_u4169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4169), c_Groups_Oone__class_Oone(_u4169)), _u4170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4171), _u4172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4169), hAPP(hAPP(c_Power_Opower__class_Opower(_u4169), _u4170), _u4171)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4169), _u4170), _u4172))) )).
% 29.00/29.23 cnf(matrix-2871, plain, ( ~class_Rings_Olinordered__semidom(_u4173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4173), c_Groups_Oone__class_Oone(_u4173)), _u4174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4173), hAPP(hAPP(c_Power_Opower__class_Opower(_u4173), _u4174), _u4175)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4173), _u4174), _u4176))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4175), _u4176)) )).
% 29.00/29.23 cnf(matrix-2872, plain, ( ~class_Rings_Olinordered__semidom(_u4177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4178), _u4179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4177), c_Groups_Ozero__class_Ozero(_u4177)), _u4180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4177), _u4180), c_Groups_Oone__class_Oone(_u4177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4177), hAPP(hAPP(c_Power_Opower__class_Opower(_u4177), _u4180), _u4179)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4177), _u4180), _u4178))) )).
% 29.00/29.23 cnf(matrix-2873, plain, ( ~class_Rings_Olinordered__semidom(_u4181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4182), _u4183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4181), c_Groups_Ozero__class_Ozero(_u4181)), _u4184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4181), _u4184), c_Groups_Oone__class_Oone(_u4181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4181), hAPP(hAPP(c_Power_Opower__class_Opower(_u4181), _u4184), _u4183)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4181), _u4184), _u4182))) )).
% 29.00/29.23 cnf(matrix-2874, plain, ( ~class_Rings_Olinordered__semidom(_u4185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4185), c_Groups_Ozero__class_Ozero(_u4185)), _u4186)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4185), _u4186), c_Groups_Oone__class_Oone(_u4185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4185), hAPP(hAPP(c_Power_Opower__class_Opower(_u4185), _u4186), hAPP(c_Nat_OSuc, _u4187))), c_Groups_Oone__class_Oone(_u4185))) )).
% 29.00/29.23 cnf(matrix-2875, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4188, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4188, tc_HOL_Obool)), _u4189), _u4190)), _u4190) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4188, tc_HOL_Obool)), _u4189), _u4190)) )).
% 29.00/29.23 cnf(matrix-2876, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4191) = _u4191) )).
% 29.00/29.23 cnf(matrix-2877, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4194)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4196))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4194), _u4196)) )).
% 29.00/29.23 cnf(matrix-2878, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4195), _u4197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4195)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4197))) )).
% 29.00/29.23 cnf(matrix-2879, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4200)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4200), _u4202)) )).
% 29.00/29.23 cnf(matrix-2880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4201), _u4203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4201)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4203))) )).
% 29.00/29.23 cnf(matrix-2881, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4204)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4205)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4204), _u4205))) )).
% 29.00/29.23 cnf(matrix-2882, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4206)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4207)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4206), _u4207))) )).
% 29.00/29.23 cnf(matrix-2883, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4208)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4208))) )).
% 29.00/29.23 cnf(matrix-2884, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4209) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2885, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4212), _u4214) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4214 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4212 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2886, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4213), _u4215) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4215 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2887, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4213), _u4215) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4213 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2888, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4216), _u4217)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4216), _u4218))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4217), _u4218)) )).
% 29.00/29.23 cnf(matrix-2889, 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), _u4221), _u4223))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4221)) | ( _u4223 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2890, 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), _u4222), _u4224))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4222)) )).
% 29.00/29.23 cnf(matrix-2891, 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), _u4222), _u4224))) | ( _u4224 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2892, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4225) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u4225)) )).
% 29.00/29.23 cnf(matrix-2893, 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))), _u4226)) | 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), _u4226), _u4227))) )).
% 29.00/29.23 cnf(matrix-2894, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4228)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4228)) )).
% 29.00/29.23 cnf(matrix-2895, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4229) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4229))) )).
% 29.00/29.23 cnf(matrix-2896, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4230)), _u4231) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4230), _u4231))) )).
% 29.00/29.23 cnf(matrix-2897, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4232), _u4233)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4232)), _u4233)) )).
% 29.00/29.23 cnf(matrix-2898, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4234)), _u4235) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4234), _u4235))) )).
% 29.00/29.23 cnf(matrix-2899, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4236)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4237)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4236), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4237)))) )).
% 29.00/29.23 cnf(matrix-2900, plain, ( ( _u4240 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4242), _u4240) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2901, plain, ( ( _u4241 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4243), _u4241) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4243), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4243), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4241), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 29.00/29.23 cnf(matrix-2902, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4246) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4248)) | ( _u4246 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4248))) )).
% 29.00/29.23 cnf(matrix-2903, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4246) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4248)) | 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), _u4248))) )).
% 29.00/29.23 cnf(matrix-2904, plain, ( ( _u4247 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4249))) | ~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), _u4249))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4247) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4249)) )).
% 29.00/29.23 cnf(matrix-2905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4250)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4250), _u4251)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4250)), _u4251)) )).
% 29.00/29.23 cnf(matrix-2906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4252)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u4252)), _u4253) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u4252), _u4253))) )).
% 29.00/29.23 cnf(matrix-2907, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4254) | ( _u4255 = c_Groups_Ozero__class_Ozero(_u4254)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4254), _u4255), _u4256) != c_Groups_Ozero__class_Ozero(_u4254)) )).
% 29.00/29.23 cnf(matrix-2908, plain, ( ~class_Groups_Omonoid__mult(_u4257) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4257), hAPP(hAPP(c_Power_Opower__class_Opower(_u4257), _u4258), _u4259)), _u4258) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4257), _u4258), hAPP(hAPP(c_Power_Opower__class_Opower(_u4257), _u4258), _u4259))) )).
% 29.00/29.23 cnf(matrix-2909, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4260) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4260), _u4261), _u4262)), _u4263) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4260), hAPP(hAPP(c_Power_Opower__class_Opower(_u4260), _u4261), _u4263)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4260), _u4262), _u4263))) )).
% 29.00/29.23 cnf(matrix-2910, plain, ( ~class_Groups_Omonoid__mult(_u4264) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4264), c_Groups_Oone__class_Oone(_u4264)), _u4265) = c_Groups_Oone__class_Oone(_u4264)) )).
% 29.00/29.23 cnf(matrix-2911, plain, ( ~class_Rings_Osemiring__1(_u4266) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4266), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u4267), _u4268)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4266), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4266), _u4267)), _u4268)) )).
% 29.00/29.23 cnf(matrix-2912, plain, ( ~class_Groups_Omonoid__mult(_u4269) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), _u4270), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4271), _u4272)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), hAPP(hAPP(c_Power_Opower__class_Opower(_u4269), _u4270), _u4271)), _u4272)) )).
% 29.00/29.23 cnf(matrix-2913, 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), _u4273)) = 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), _u4273)))) )).
% 29.00/29.23 cnf(matrix-2914, plain, ( ~class_Rings_Olinordered__idom(_u4274) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4274), hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), _u4275), _u4276)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4274), hAPP(c_Groups_Oabs__class_Oabs(_u4274), _u4275)), _u4276)) )).
% 29.00/29.23 cnf(matrix-2915, plain, ( ~class_Groups_Omonoid__mult(_u4277) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4277), _u4278), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4278) )).
% 29.00/29.23 cnf(matrix-2916, plain, ( ~class_Rings_Olinordered__semidom(_u4279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4279), c_Groups_Ozero__class_Ozero(_u4279)), _u4280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4279), c_Groups_Ozero__class_Ozero(_u4279)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4279), _u4280), _u4281))) )).
% 29.00/29.23 cnf(matrix-2917, plain, ( ~class_Rings_Olinordered__semidom(_u4282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4282), _u4283), _u4284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4282), c_Groups_Ozero__class_Ozero(_u4282)), _u4283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4282), hAPP(hAPP(c_Power_Opower__class_Opower(_u4282), _u4283), _u4285)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4282), _u4284), _u4285))) )).
% 29.00/29.23 cnf(matrix-2918, plain, ( ~class_Rings_Olinordered__semidom(_u4286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4286), c_Groups_Ozero__class_Ozero(_u4286)), _u4287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4286), c_Groups_Ozero__class_Ozero(_u4286)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4286), _u4287), _u4288))) )).
% 29.00/29.23 cnf(matrix-2919, plain, ( ~class_Power_Opower(_u4289) | ~class_Rings_Omult__zero(_u4289) | ~class_Rings_Ono__zero__divisors(_u4289) | ~class_Rings_Ozero__neq__one(_u4289) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4290), _u4291) != c_Groups_Ozero__class_Ozero(_u4289)) | ( _u4290 = c_Groups_Ozero__class_Ozero(_u4289)) )).
% 29.00/29.23 cnf(matrix-2920, plain, ( ~class_Power_Opower(_u4289) | ~class_Rings_Omult__zero(_u4289) | ~class_Rings_Ono__zero__divisors(_u4289) | ~class_Rings_Ozero__neq__one(_u4289) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4290), _u4291) != c_Groups_Ozero__class_Ozero(_u4289)) | ( _u4291 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2921, plain, ( ~class_Power_Opower(_u4289) | ~class_Rings_Omult__zero(_u4289) | ~class_Rings_Ono__zero__divisors(_u4289) | ~class_Rings_Ozero__neq__one(_u4289) | ( _u4290 != c_Groups_Ozero__class_Ozero(_u4289)) | ( _u4291 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4289), _u4290), _u4291) = c_Groups_Ozero__class_Ozero(_u4289)) )).
% 29.00/29.23 cnf(matrix-2922, plain, ( ~class_Rings_Olinordered__semidom(_u4292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4292), c_Groups_Oone__class_Oone(_u4292)), _u4293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4292), c_Groups_Oone__class_Oone(_u4292)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4292), _u4293), _u4294))) )).
% 29.00/29.23 cnf(matrix-2923, plain, ( ~class_Power_Opower(_u4295) | ~class_Rings_Osemiring__0(_u4295) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4295), c_Groups_Ozero__class_Ozero(_u4295)), hAPP(c_Nat_OSuc, _u4296)) = c_Groups_Ozero__class_Ozero(_u4295)) )).
% 29.00/29.23 cnf(matrix-2924, plain, ( ~class_Rings_Olinordered__semidom(_u4297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4297), c_Groups_Oone__class_Oone(_u4297)), _u4298)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4297), _u4298), _u4299) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4297), _u4298), _u4300)) | ( _u4299 = _u4300) )).
% 29.00/29.23 cnf(matrix-2925, plain, ( ~class_Rings_Olinordered__semidom(_u4297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4297), c_Groups_Oone__class_Oone(_u4297)), _u4298)) | ( _u4299 != _u4300) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4297), _u4298), _u4299) = hAPP(hAPP(c_Power_Opower__class_Opower(_u4297), _u4298), _u4300)) )).
% 29.00/29.23 cnf(matrix-2926, plain, ( ~class_Power_Opower(_u4301) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4301), _u4302), hAPP(c_Nat_OSuc, _u4303)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4301), _u4302), hAPP(hAPP(c_Power_Opower__class_Opower(_u4301), _u4302), _u4303))) )).
% 29.00/29.23 cnf(matrix-2927, plain, ( ~class_Groups_Omonoid__mult(_u4304) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4304), _u4305), hAPP(c_Nat_OSuc, _u4306)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4304), hAPP(hAPP(c_Power_Opower__class_Opower(_u4304), _u4305), _u4306)), _u4305)) )).
% 29.00/29.23 cnf(matrix-2928, plain, ( ~class_Power_Opower(_u4307) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4307), _u4308), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4307)) )).
% 29.00/29.23 cnf(matrix-2929, plain, ( ~class_Groups_Omonoid__mult(_u4309) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4311), _u4312)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4309), hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), _u4311)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4309), _u4310), _u4312))) )).
% 29.00/29.23 cnf(matrix-2930, plain, ( ~class_Rings_Olinordered__idom(_u4313) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4313), hAPP(hAPP(c_Power_Opower__class_Opower(_u4313), hAPP(c_Groups_Ouminus__class_Ouminus(_u4313), _u4314)), _u4315)) = hAPP(c_Groups_Oabs__class_Oabs(_u4313), hAPP(hAPP(c_Power_Opower__class_Opower(_u4313), _u4314), _u4315))) )).
% 29.00/29.23 cnf(matrix-2931, plain, ( ~class_Rings_Olinordered__semidom(_u4316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4316), hAPP(hAPP(c_Power_Opower__class_Opower(_u4316), _u4317), _u4318)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4316), _u4319), _u4318))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4316), c_Groups_Ozero__class_Ozero(_u4316)), _u4319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4316), _u4317), _u4319)) )).
% 29.00/29.23 cnf(matrix-2932, plain, ( ~class_Rings_Olinordered__semidom(_u4320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4320), hAPP(hAPP(c_Power_Opower__class_Opower(_u4320), _u4321), hAPP(c_Nat_OSuc, _u4322))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4320), _u4323), hAPP(c_Nat_OSuc, _u4322)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4320), c_Groups_Ozero__class_Ozero(_u4320)), _u4323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4320), _u4321), _u4323)) )).
% 29.00/29.23 cnf(matrix-2933, plain, ( ~class_Rings_Olinordered__semidom(_u4324) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4324), _u4325), hAPP(c_Nat_OSuc, _u4326)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4324), _u4327), hAPP(c_Nat_OSuc, _u4326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4324), c_Groups_Ozero__class_Ozero(_u4324)), _u4325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4324), c_Groups_Ozero__class_Ozero(_u4324)), _u4327)) | ( _u4325 = _u4327) )).
% 29.00/29.23 cnf(matrix-2934, plain, ( ~class_Rings_Olinordered__semidom(_u4328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4328), c_Groups_Oone__class_Oone(_u4328)), _u4329)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4328), hAPP(hAPP(c_Power_Opower__class_Opower(_u4328), _u4329), _u4330)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4328), _u4329), hAPP(hAPP(c_Power_Opower__class_Opower(_u4328), _u4329), _u4330)))) )).
% 29.00/29.23 cnf(matrix-2935, plain, ( ~class_Rings_Olinordered__semidom(_u4331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4331), c_Groups_Oone__class_Oone(_u4331)), _u4332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4331), c_Groups_Oone__class_Oone(_u4331)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4331), _u4332), hAPP(hAPP(c_Power_Opower__class_Opower(_u4331), _u4332), _u4333)))) )).
% 29.00/29.23 cnf(matrix-2936, plain, ( ~class_Power_Opower(_u4334) | ~class_Rings_Osemiring__0(_u4334) | ( _u4335 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4334), c_Groups_Ozero__class_Ozero(_u4334)), _u4335) = c_Groups_Oone__class_Oone(_u4334)) )).
% 29.00/29.23 cnf(matrix-2937, plain, ( ~class_Power_Opower(_u4334) | ~class_Rings_Osemiring__0(_u4334) | ( _u4335 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4334), c_Groups_Ozero__class_Ozero(_u4334)), _u4335) = c_Groups_Ozero__class_Ozero(_u4334)) )).
% 29.00/29.23 cnf(matrix-2938, plain, ( ~class_Rings_Olinordered__semidom(_u4336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4336), c_Groups_Oone__class_Oone(_u4336)), _u4337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4336), c_Groups_Oone__class_Oone(_u4336)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4336), _u4337), hAPP(c_Nat_OSuc, _u4338)))) )).
% 29.00/29.23 cnf(matrix-2939, plain, ( ~class_Rings_Olinordered__semidom(_u4339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4340), _u4341)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4339), c_Groups_Oone__class_Oone(_u4339)), _u4342)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4339), hAPP(hAPP(c_Power_Opower__class_Opower(_u4339), _u4342), _u4340)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4339), _u4342), _u4341))) )).
% 29.00/29.23 cnf(matrix-2940, plain, ( ~class_Rings_Olinordered__semidom(_u4343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4343), c_Groups_Oone__class_Oone(_u4343)), _u4344)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4343), hAPP(hAPP(c_Power_Opower__class_Opower(_u4343), _u4344), _u4345)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4343), _u4344), _u4346))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4345), _u4346)) )).
% 29.00/29.23 cnf(matrix-2941, plain, ( ~class_Rings_Olinordered__semidom(_u4347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4347), c_Groups_Oone__class_Oone(_u4347)), _u4348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4347), hAPP(hAPP(c_Power_Opower__class_Opower(_u4347), _u4348), _u4349)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4347), _u4348), _u4350))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4349), _u4350)) )).
% 29.00/29.23 cnf(matrix-2942, plain, ( ~class_Rings_Olinordered__semidom(_u4347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4347), c_Groups_Oone__class_Oone(_u4347)), _u4348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4349), _u4350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4347), hAPP(hAPP(c_Power_Opower__class_Opower(_u4347), _u4348), _u4349)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4347), _u4348), _u4350))) )).
% 29.00/29.23 cnf(matrix-2943, plain, ( ~class_Rings_Olinordered__idom(_u4351) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4351), c_Groups_Ozero__class_Ozero(_u4351)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4351), hAPP(c_Groups_Oabs__class_Oabs(_u4351), _u4352)), _u4353))) )).
% 29.00/29.23 cnf(matrix-2944, plain, ( ~class_Rings_Olinordered__semidom(_u4354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4355), _u4356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4354), c_Groups_Oone__class_Oone(_u4354)), _u4357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4354), hAPP(hAPP(c_Power_Opower__class_Opower(_u4354), _u4357), _u4355)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4354), _u4357), _u4356))) )).
% 29.00/29.23 cnf(matrix-2945, plain, ( ~class_Rings_Oring__1(_u4358) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4358), hAPP(c_Groups_Ouminus__class_Ouminus(_u4358), _u4359)), _u4360) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4358), hAPP(hAPP(c_Power_Opower__class_Opower(_u4358), hAPP(c_Groups_Ouminus__class_Ouminus(_u4358), c_Groups_Oone__class_Oone(_u4358))), _u4360)), hAPP(hAPP(c_Power_Opower__class_Opower(_u4358), _u4359), _u4360))) )).
% 29.00/29.23 cnf(matrix-2946, plain, ( ~class_Rings_Olinordered__semidom(_u4361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4361), c_Groups_Ozero__class_Ozero(_u4361)), _u4362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4361), _u4362), c_Groups_Oone__class_Oone(_u4361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4361), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4361), _u4362), hAPP(hAPP(c_Power_Opower__class_Opower(_u4361), _u4362), _u4363))), hAPP(hAPP(c_Power_Opower__class_Opower(_u4361), _u4362), _u4363))) )).
% 29.00/29.23 cnf(matrix-2947, plain, ( ~class_Rings_Olinordered__semidom(_u4364) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4364), _u4365), _u4366) != hAPP(hAPP(c_Power_Opower__class_Opower(_u4364), _u4367), _u4366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4364), c_Groups_Ozero__class_Ozero(_u4364)), _u4365)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4364), c_Groups_Ozero__class_Ozero(_u4364)), _u4367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4366)) | ( _u4365 = _u4367) )).
% 29.00/29.23 cnf(matrix-2948, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4369))) | ( 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), _u4369)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-2949, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4370))) | ( 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), _u4370)) = 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), _u4370)))) )).
% 29.00/29.23 cnf(matrix-2950, plain, ( ~class_Power_Opower(_u4371) | ( c_Power_Opower__class_Opower(_u4371) = c_Power_Opower_Opower(_u4371, c_Groups_Oone__class_Oone(_u4371), c_Groups_Otimes__class_Otimes(_u4371))) )).
% 29.00/29.23 cnf(matrix-2951, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4374))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4374)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4376)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2952, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4375))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4377)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4377)))) )).
% 29.00/29.23 cnf(matrix-2953, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4380))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4380), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4382)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2954, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4381))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4383))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4383)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4381)) )).
% 29.00/29.23 cnf(matrix-2955, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4381))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4383))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4383)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4383)))) )).
% 29.00/29.23 cnf(matrix-2956, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4386))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4386)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4388)) = 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), _u4388))) )).
% 29.00/29.23 cnf(matrix-2957, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4387))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4387)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4389)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4387)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4389)))) )).
% 29.00/29.23 cnf(matrix-2958, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4392))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4392)), _u4394) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4394)) )).
% 29.00/29.23 cnf(matrix-2959, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4393))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4393)), _u4395) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4393)), _u4395))) )).
% 29.00/29.23 cnf(matrix-2960, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4396)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u4396) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4396), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2961, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 29.00/29.23 cnf(matrix-2962, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2963, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2964, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2965, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4397))) )).
% 29.00/29.23 cnf(matrix-2966, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2967, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2968, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2969, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u4398) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4398)) )).
% 29.00/29.23 cnf(matrix-2970, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4400)) )).
% 29.00/29.23 cnf(matrix-2971, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4401)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4401)) )).
% 29.00/29.23 cnf(matrix-2972, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4403), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4404), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4404)) )).
% 29.00/29.23 cnf(matrix-2974, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4405)) | ( hAPP(c_Int_Onat, _u4405) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2975, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4406)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u4406)) = _u4406) )).
% 29.00/29.23 cnf(matrix-2976, plain, ( ~class_Int_Onumber__ring(_u4407) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4407), hAPP(c_Int_Onumber__class_Onumber__of(_u4407), c_Int_OMin)), _u4408) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4407), _u4408)) )).
% 29.00/29.23 cnf(matrix-2977, plain, ( ~class_Int_Onumber__ring(_u4409) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4409), _u4410), hAPP(c_Int_Onumber__class_Onumber__of(_u4409), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4409), _u4410)) )).
% 29.00/29.23 cnf(matrix-2978, plain, ( ~class_Int_Onumber__ring(_u4411) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4411), c_Groups_Oone__class_Oone(_u4411)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4411), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2979, plain, ( ~class_Int_Onumber__ring(_u4412) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4412), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4412), c_Groups_Oone__class_Oone(_u4412))) )).
% 29.00/29.23 cnf(matrix-2980, plain, ( ~class_Int_Onumber__ring(_u4413) | ~class_Rings_Olinordered__idom(_u4413) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4413), hAPP(c_Int_Onumber__class_Onumber__of(_u4413), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u4413)) )).
% 29.00/29.23 cnf(matrix-2981, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u4414, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2982, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4417), _u4419) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4417 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4417 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2983, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4417), _u4419) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4417 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4419 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2984, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4417), _u4419) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4419 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4417 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2985, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4417), _u4419) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4419 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4419 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2986, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4418), _u4420) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4418 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4420 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2987, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4418), _u4420) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4418 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u4420 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2988, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4421), _u4422) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4421 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4421 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2989, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4423, _u4424, _u4425), _u4426), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4424) )).
% 29.00/29.23 cnf(matrix-2990, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u4427, _u4428, _u4429), _u4430), hAPP(c_Nat_OSuc, _u4431)) = hAPP(hAPP(_u4429, _u4430), hAPP(hAPP(c_Power_Opower_Opower(_u4427, _u4428, _u4429), _u4430), _u4431))) )).
% 29.00/29.23 cnf(matrix-2991, plain, ( ~class_Int_Onumber__ring(_u4432) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u4432), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4432), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2992, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4433), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4433)) )).
% 29.00/29.23 cnf(matrix-2993, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4434))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4434) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-2994, 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, _u4435))))) )).
% 29.00/29.23 cnf(matrix-2995, plain, ( ~class_Int_Onumber__ring(_u4436) | ~class_Rings_Olinordered__idom(_u4436) | ( hAPP(c_Groups_Oabs__class_Oabs(_u4436), hAPP(hAPP(c_Power_Opower__class_Opower(_u4436), hAPP(c_Int_Onumber__class_Onumber__of(_u4436), c_Int_OMin)), _u4437)) = c_Groups_Oone__class_Oone(_u4436)) )).
% 29.00/29.23 cnf(matrix-2996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4438)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u4438) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-2997, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4441) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4443)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4443)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-2998, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4441) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4443)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4441))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4443))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4441) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-2999, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4441) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4443)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4441))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4443))) | ( _u4441 = _u4443) )).
% 29.00/29.23 cnf(matrix-3000, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444))) | ( _u4442 != _u4444) )).
% 29.00/29.23 cnf(matrix-3001, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444))) )).
% 29.00/29.23 cnf(matrix-3002, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4442 != _u4444) )).
% 29.00/29.23 cnf(matrix-3003, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442))) )).
% 29.00/29.23 cnf(matrix-3004, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444))) | ( _u4442 != _u4444) )).
% 29.00/29.23 cnf(matrix-3005, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444))) )).
% 29.00/29.23 cnf(matrix-3006, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4442) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4442) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4442 != _u4444) )).
% 29.00/29.23 cnf(matrix-3007, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4448))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4448)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4450)), _u4452)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4450)), _u4452)) )).
% 29.00/29.23 cnf(matrix-3008, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4449))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4451))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4449)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4451)), _u4453)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4449)), _u4453)) )).
% 29.00/29.23 cnf(matrix-3009, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4449))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4451))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4449)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4451)), _u4453)) = 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), _u4449), _u4451))), _u4453)) )).
% 29.00/29.23 cnf(matrix-3010, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4455))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4455)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-3011, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4456))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4456)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4456)) )).
% 29.00/29.23 cnf(matrix-3012, plain, ( ~class_Int_Onumber__ring(_u4457) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4458))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4457), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4458)) = c_Groups_Ozero__class_Ozero(_u4457)) )).
% 29.00/29.23 cnf(matrix-3013, plain, ( ~class_Int_Onumber__ring(_u4457) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4458))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4457), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4458)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4457), _u4458)) )).
% 29.00/29.23 cnf(matrix-3014, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4459), _u4460)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4459), _u4460) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3015, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4463))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4463)), _u4465)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4465)) )).
% 29.00/29.23 cnf(matrix-3016, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4464))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4464)), _u4466)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4464))), _u4466)) )).
% 29.00/29.23 cnf(matrix-3017, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4468))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4468)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3018, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4469))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4469)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4469))) )).
% 29.00/29.23 cnf(matrix-3019, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem78(_u4474, _u4473, _u4472)), _u4472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4473, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4474), hAPP(_u4473, _u4472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem79(_u4474, _u4473, _u4472)), _u4472)) )).
% 29.00/29.23 cnf(matrix-3020, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem78(_u4474, _u4473, _u4472)), _u4472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4473, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4474), hAPP(_u4473, _u4472))) | ( hAPP(_u4473, skolem79(_u4474, _u4473, _u4472)) = _u4474) )).
% 29.00/29.23 cnf(matrix-3021, 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(_u4473, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem78(_u4474, _u4473, _u4472)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4473, skolem78(_u4474, _u4473, _u4472))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4473, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4474), hAPP(_u4473, _u4472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem79(_u4474, _u4473, _u4472)), _u4472)) )).
% 29.00/29.23 cnf(matrix-3022, 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(_u4473, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem78(_u4474, _u4473, _u4472)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4473, skolem78(_u4474, _u4473, _u4472))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4473, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4474), hAPP(_u4473, _u4472))) | ( hAPP(_u4473, skolem79(_u4474, _u4473, _u4472)) = _u4474) )).
% 29.00/29.23 cnf(matrix-3023, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4479, _u4478, _u4477)), _u4477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4478, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4479), hAPP(_u4478, _u4477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4479, _u4478, _u4477)), _u4477)) )).
% 29.00/29.23 cnf(matrix-3024, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem80(_u4479, _u4478, _u4477)), _u4477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4478, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4479), hAPP(_u4478, _u4477))) | ( hAPP(_u4478, skolem81(_u4479, _u4478, _u4477)) = _u4479) )).
% 29.00/29.23 cnf(matrix-3025, 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(_u4478, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4479, _u4478, _u4477)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4478, skolem80(_u4479, _u4478, _u4477))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4478, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4479), hAPP(_u4478, _u4477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem81(_u4479, _u4478, _u4477)), _u4477)) )).
% 29.00/29.23 cnf(matrix-3026, 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(_u4478, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem80(_u4479, _u4478, _u4477)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u4478, skolem80(_u4479, _u4478, _u4477))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u4478, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4479), hAPP(_u4478, _u4477))) | ( hAPP(_u4478, skolem81(_u4479, _u4478, _u4477)) = _u4479) )).
% 29.00/29.23 cnf(matrix-3027, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4488), _u4490))) | ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), _u4486), _u4490)) )).
% 29.00/29.23 cnf(matrix-3028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4488), _u4490))) | hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4490)) | ~hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4484, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4488), c_Orderings_Obot__class_Obot(tc_fun(_u4484, tc_HOL_Obool))))), _u4490)) )).
% 29.00/29.23 cnf(matrix-3029, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4484, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_Set_Oinsert(_u4484), _u4488), _u4490))) | hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4490)) | hBOOL(hAPP(hAPP(c_member(_u4484), _u4488), _u4486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4484, tc_HOL_Obool)), _u4486), _u4490)) )).
% 29.00/29.23 cnf(matrix-3030, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4491)) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) )).
% 29.00/29.23 cnf(matrix-3031, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))))), _u4491)) | ~hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4487)) )).
% 29.00/29.23 cnf(matrix-3032, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))))), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) )).
% 29.00/29.23 cnf(matrix-3033, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) | ~hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4491)) )).
% 29.00/29.23 cnf(matrix-3034, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) | hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) )).
% 29.00/29.23 cnf(matrix-3035, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))))), _u4491)) | ~hBOOL(hAPP(hAPP(c_member(_u4485), _u4489), _u4487)) )).
% 29.00/29.23 cnf(matrix-3036, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), _u4491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4485, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4485, tc_HOL_Obool)), _u4487), hAPP(hAPP(c_Set_Oinsert(_u4485), _u4489), c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))))), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4485, tc_HOL_Obool)), _u4487), _u4491)) )).
% 29.00/29.23 cnf(matrix-3037, plain, ( ~class_Int_Onumber__ring(_u4492) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4492), _u4493) != hAPP(c_Int_Onumber__class_Onumber__of(_u4492), _u4494)) | c_Int_Oiszero(_u4492, hAPP(c_Int_Onumber__class_Onumber__of(_u4492), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4493), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4494)))) )).
% 29.00/29.23 cnf(matrix-3038, plain, ( ~class_Int_Onumber__ring(_u4492) | ~c_Int_Oiszero(_u4492, hAPP(c_Int_Onumber__class_Onumber__of(_u4492), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4493), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4494)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4492), _u4493) = hAPP(c_Int_Onumber__class_Onumber__of(_u4492), _u4494)) )).
% 29.00/29.23 cnf(matrix-3039, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u4496)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4496) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3040, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4497) != 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(_u4497)))) )).
% 29.00/29.23 cnf(matrix-3041, plain, ( ( _u4498 != _u4499) | hBOOL(hAPP(hAPP(c_member(_u4500), _u4501), _u4498)) | ~hBOOL(hAPP(hAPP(c_member(_u4500), _u4501), _u4499)) )).
% 29.00/29.23 cnf(matrix-3042, plain, ( ( _u4498 != _u4499) | hBOOL(hAPP(hAPP(c_member(_u4500), _u4501), _u4499)) | ~hBOOL(hAPP(hAPP(c_member(_u4500), _u4501), _u4498)) )).
% 29.00/29.23 cnf(matrix-3043, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4502), _u4503), c_Orderings_Obot__class_Obot(tc_fun(_u4502, tc_HOL_Obool)))) )).
% 29.00/29.23 cnf(matrix-3044, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4504), _u4505), hAPP(hAPP(c_Set_Oinsert(_u4504), _u4506), _u4507))) | ( _u4505 = _u4506) | hBOOL(hAPP(hAPP(c_member(_u4504), _u4505), _u4507)) )).
% 29.00/29.23 cnf(matrix-3045, plain, ( hBOOL(hAPP(hAPP(c_member(_u4508), _u4509), hAPP(hAPP(c_Set_Oinsert(_u4508), _u4511), _u4510))) | ~hBOOL(hAPP(hAPP(c_member(_u4508), _u4509), _u4510)) )).
% 29.00/29.23 cnf(matrix-3046, plain, ( hBOOL(hAPP(hAPP(c_member(_u4508), _u4509), hAPP(hAPP(c_Set_Oinsert(_u4508), _u4511), _u4510))) | ( _u4509 != _u4511) )).
% 29.00/29.23 cnf(matrix-3047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4512, tc_HOL_Obool)), _u4513), _u4514)) | ~hBOOL(hAPP(hAPP(c_member(_u4512), _u4515), _u4513)) | hBOOL(hAPP(hAPP(c_member(_u4512), _u4515), _u4514)) )).
% 29.00/29.23 cnf(matrix-3048, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4516), _u4517), _u4518)) | hBOOL(hAPP(hAPP(c_member(_u4516), _u4517), _u4519)) | hBOOL(hAPP(hAPP(c_member(_u4516), _u4517), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4516, tc_HOL_Obool)), _u4518), _u4519))) )).
% 29.00/29.23 cnf(matrix-3049, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4520), _u4521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4520, tc_HOL_Obool)), _u4522), _u4523))) | hBOOL(hAPP(hAPP(c_member(_u4520), _u4521), _u4522)) )).
% 29.00/29.23 cnf(matrix-3050, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4520), _u4521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4520, tc_HOL_Obool)), _u4522), _u4523))) | ~hBOOL(hAPP(hAPP(c_member(_u4520), _u4521), _u4523)) )).
% 29.00/29.23 cnf(matrix-3051, plain, ( hBOOL(hAPP(hAPP(c_member(_u4524), _u4525), _u4526)) | hBOOL(hAPP(hAPP(c_member(_u4524), _u4525), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4524, tc_HOL_Obool)), _u4526))) )).
% 29.00/29.23 cnf(matrix-3052, plain, ( hBOOL(hAPP(_u4534, _u4532)) | ~hBOOL(hAPP(hAPP(c_member(_u4530), _u4532), _u4534)) )).
% 29.00/29.23 cnf(matrix-3053, plain, ( ~hBOOL(hAPP(_u4535, _u4533)) | hBOOL(hAPP(hAPP(c_member(_u4531), _u4533), _u4535)) )).
% 29.00/29.23 cnf(matrix-3054, plain, ( ( _u4536 != _u4537) | ~hBOOL(hAPP(hAPP(c_member(_u4538), _u4539), _u4536)) | hBOOL(hAPP(hAPP(c_member(_u4538), _u4539), _u4537)) )).
% 29.00/29.23 cnf(matrix-3055, plain, ( ( _u4536 != _u4537) | ~hBOOL(hAPP(hAPP(c_member(_u4538), _u4539), _u4537)) | hBOOL(hAPP(hAPP(c_member(_u4538), _u4539), _u4536)) )).
% 29.00/29.23 cnf(matrix-3056, plain, ( ( _u4540 != _u4541) | ~hBOOL(hAPP(hAPP(c_member(_u4542), _u4540), _u4543)) | hBOOL(hAPP(hAPP(c_member(_u4542), _u4541), _u4543)) )).
% 29.00/29.23 cnf(matrix-3057, plain, ( ( _u4540 != _u4541) | ~hBOOL(hAPP(hAPP(c_member(_u4542), _u4541), _u4543)) | hBOOL(hAPP(hAPP(c_member(_u4542), _u4540), _u4543)) )).
% 29.00/29.23 cnf(matrix-3058, plain, ( ( _u4544 != _u4545) | ~hBOOL(hAPP(hAPP(c_member(_u4546), _u4545), _u4547)) | hBOOL(hAPP(hAPP(c_member(_u4546), _u4544), _u4547)) )).
% 29.00/29.23 cnf(matrix-3059, plain, ( ( c_Int_Osucc(c_Int_Opred(_u4548)) = _u4548) )).
% 29.00/29.23 cnf(matrix-3060, plain, ( hBOOL(hAPP(hAPP(c_member(_u4553), skolem82(_u4555, _u4553)), _u4555)) | ( _u4555 = c_Orderings_Obot__class_Obot(tc_fun(_u4553, tc_HOL_Obool))) )).
% 29.00/29.23 cnf(matrix-3061, plain, ( ( _u4556 != c_Orderings_Obot__class_Obot(tc_fun(_u4554, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4554), _u4550), _u4556)) )).
% 29.00/29.23 cnf(matrix-3062, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4561), _u4557), _u4563)) | ( _u4563 != c_Orderings_Obot__class_Obot(tc_fun(_u4561, tc_HOL_Obool))) )).
% 29.00/29.23 cnf(matrix-3063, plain, ( ( _u4564 = c_Orderings_Obot__class_Obot(tc_fun(_u4562, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4562), skolem83(_u4564, _u4562)), _u4564)) )).
% 29.00/29.23 cnf(matrix-3064, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4565), _u4566), c_Orderings_Obot__class_Obot(tc_fun(_u4565, tc_HOL_Obool)))) )).
% 29.00/29.23 cnf(matrix-3065, plain, ( ( _u4567 != c_Orderings_Obot__class_Obot(tc_fun(_u4568, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4568), _u4569), _u4567)) )).
% 29.00/29.23 cnf(matrix-3066, plain, ( hBOOL(hAPP(hAPP(c_member(_u4570), _u4571), hAPP(hAPP(c_Set_Oinsert(_u4570), _u4571), _u4572))) )).
% 29.00/29.23 cnf(matrix-3067, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4577), _u4579), hAPP(hAPP(c_Set_Oinsert(_u4577), _u4581), _u4583))) | ( _u4579 = _u4581) | hBOOL(hAPP(hAPP(c_member(_u4577), _u4579), _u4583)) )).
% 29.00/29.23 cnf(matrix-3068, plain, ( hBOOL(hAPP(hAPP(c_member(_u4578), _u4580), hAPP(hAPP(c_Set_Oinsert(_u4578), _u4582), _u4584))) | ( _u4580 != _u4582) )).
% 29.00/29.23 cnf(matrix-3069, plain, ( hBOOL(hAPP(hAPP(c_member(_u4578), _u4580), hAPP(hAPP(c_Set_Oinsert(_u4578), _u4582), _u4584))) | ~hBOOL(hAPP(hAPP(c_member(_u4578), _u4580), _u4584)) )).
% 29.00/29.23 cnf(matrix-3070, plain, ( hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), _u4587)) | hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), _u4588)) | ( hAPP(hAPP(c_Set_Oinsert(_u4585), _u4586), _u4587) != hAPP(hAPP(c_Set_Oinsert(_u4585), _u4586), _u4588)) | ( _u4587 = _u4588) )).
% 29.00/29.23 cnf(matrix-3071, plain, ( hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), _u4587)) | hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), _u4588)) | ( _u4587 != _u4588) | ( hAPP(hAPP(c_Set_Oinsert(_u4585), _u4586), _u4587) = hAPP(hAPP(c_Set_Oinsert(_u4585), _u4586), _u4588)) )).
% 29.00/29.23 cnf(matrix-3072, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4589), _u4590), _u4591)) | hBOOL(hAPP(hAPP(c_member(_u4589), _u4590), hAPP(hAPP(c_Set_Oinsert(_u4589), _u4592), _u4591))) )).
% 29.00/29.23 cnf(matrix-3073, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4593), _u4594), _u4595)) | ( hAPP(hAPP(c_Set_Oinsert(_u4593), _u4594), _u4595) = _u4595) )).
% 29.00/29.23 cnf(matrix-3074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4596, tc_HOL_Obool)), _u4597), _u4598)) | ~hBOOL(hAPP(hAPP(c_member(_u4596), _u4599), _u4597)) | hBOOL(hAPP(hAPP(c_member(_u4596), _u4599), _u4598)) )).
% 29.00/29.23 cnf(matrix-3075, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4600), _u4601), _u4602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4600, tc_HOL_Obool)), _u4602), _u4603)) | hBOOL(hAPP(hAPP(c_member(_u4600), _u4601), _u4603)) )).
% 29.00/29.23 cnf(matrix-3076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4604, tc_HOL_Obool)), _u4605), _u4606)) | ~hBOOL(hAPP(hAPP(c_member(_u4604), _u4607), _u4605)) | hBOOL(hAPP(hAPP(c_member(_u4604), _u4607), _u4606)) )).
% 29.00/29.23 cnf(matrix-3077, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4612), _u4614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4612, tc_HOL_Obool)), _u4616), _u4618))) | hBOOL(hAPP(hAPP(c_member(_u4612), _u4614), _u4616)) )).
% 29.00/29.23 cnf(matrix-3078, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4612), _u4614), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4612, tc_HOL_Obool)), _u4616), _u4618))) | ~hBOOL(hAPP(hAPP(c_member(_u4612), _u4614), _u4618)) )).
% 29.00/29.23 cnf(matrix-3079, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4613), _u4615), _u4617)) | hBOOL(hAPP(hAPP(c_member(_u4613), _u4615), _u4619)) | hBOOL(hAPP(hAPP(c_member(_u4613), _u4615), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4613, tc_HOL_Obool)), _u4617), _u4619))) )).
% 29.00/29.23 cnf(matrix-3080, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4620), _u4621), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4620, tc_HOL_Obool)), _u4622), _u4623))) | hBOOL(hAPP(hAPP(c_member(_u4620), _u4621), _u4622)) )).
% 29.00/29.23 cnf(matrix-3081, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4624), _u4625), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4624, tc_HOL_Obool)), _u4626), _u4627))) | ~hBOOL(hAPP(hAPP(c_member(_u4624), _u4625), _u4627)) )).
% 29.00/29.23 cnf(matrix-3082, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4631), _u4633), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4631, tc_HOL_Obool)), _u4635))) | ~hBOOL(hAPP(hAPP(c_member(_u4631), _u4633), _u4635)) )).
% 29.00/29.23 cnf(matrix-3083, plain, ( hBOOL(hAPP(hAPP(c_member(_u4632), _u4634), _u4636)) | hBOOL(hAPP(hAPP(c_member(_u4632), _u4634), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4632, tc_HOL_Obool)), _u4636))) )).
% 29.00/29.23 cnf(matrix-3084, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4637), _u4638), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4637, tc_HOL_Obool)), _u4639))) | ~hBOOL(hAPP(hAPP(c_member(_u4637), _u4638), _u4639)) )).
% 29.00/29.23 cnf(matrix-3085, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4640), _u4641), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4640, tc_HOL_Obool)), _u4642))) | ~hBOOL(hAPP(hAPP(c_member(_u4640), _u4641), _u4642)) )).
% 29.00/29.23 cnf(matrix-3086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4643, tc_HOL_Obool)), _u4644), _u4645)) | ~hBOOL(hAPP(hAPP(c_member(_u4643), _u4646), _u4644)) | hBOOL(hAPP(hAPP(c_member(_u4643), _u4646), _u4645)) )).
% 29.00/29.23 cnf(matrix-3087, plain, ( ~class_Rings_Osemiring__1(_u4647) | ~c_Int_Oiszero(_u4647, _u4648) | ( _u4648 = c_Groups_Ozero__class_Ozero(_u4647)) )).
% 29.00/29.23 cnf(matrix-3088, plain, ( ~class_Rings_Osemiring__1(_u4647) | ( _u4648 != c_Groups_Ozero__class_Ozero(_u4647)) | c_Int_Oiszero(_u4647, _u4648) )).
% 29.00/29.23 cnf(matrix-3089, plain, ( ~class_Rings_Osemiring__1(_u4649) | c_Int_Oiszero(_u4649, c_Groups_Ozero__class_Ozero(_u4649)) )).
% 29.00/29.23 cnf(matrix-3090, plain, ( ~class_Rings_Osemiring__1(_u4650) | ~c_Int_Oiszero(_u4650, c_Groups_Oone__class_Oone(_u4650)) )).
% 29.00/29.23 cnf(matrix-3091, plain, ( ( _u4656 = _u4658) | ~hBOOL(hAPP(hAPP(c_member(_u4654), _u4656), hAPP(hAPP(c_Set_Oinsert(_u4654), _u4658), c_Orderings_Obot__class_Obot(tc_fun(_u4654, tc_HOL_Obool))))) )).
% 29.00/29.23 cnf(matrix-3092, plain, ( ( _u4657 != _u4659) | hBOOL(hAPP(hAPP(c_member(_u4655), _u4657), hAPP(hAPP(c_Set_Oinsert(_u4655), _u4659), c_Orderings_Obot__class_Obot(tc_fun(_u4655, tc_HOL_Obool))))) )).
% 29.00/29.23 cnf(matrix-3093, plain, ( ( _u4661 = _u4662) | ~hBOOL(hAPP(hAPP(c_member(_u4660), _u4661), hAPP(hAPP(c_Set_Oinsert(_u4660), _u4662), c_Orderings_Obot__class_Obot(tc_fun(_u4660, tc_HOL_Obool))))) )).
% 29.00/29.23 cnf(matrix-3094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4667, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4667), _u4669), _u4671)), _u4673)) | hBOOL(hAPP(hAPP(c_member(_u4667), _u4669), _u4673)) )).
% 29.00/29.23 cnf(matrix-3095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4667, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4667), _u4669), _u4671)), _u4673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4667, tc_HOL_Obool)), _u4671), _u4673)) )).
% 29.00/29.23 cnf(matrix-3096, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4668), _u4670), _u4674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4668, tc_HOL_Obool)), _u4672), _u4674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4668, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4668), _u4670), _u4672)), _u4674)) )).
% 29.00/29.23 cnf(matrix-3097, plain, ( hBOOL(hAPP(hAPP(c_member(_u4675), _u4676), _u4677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4675, tc_HOL_Obool)), _u4677), hAPP(hAPP(c_Set_Oinsert(_u4675), _u4676), _u4678))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4675, tc_HOL_Obool)), _u4677), _u4678)) )).
% 29.00/29.23 cnf(matrix-3098, plain, ( hBOOL(hAPP(hAPP(c_member(_u4675), _u4676), _u4677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4675, tc_HOL_Obool)), _u4677), _u4678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4675, tc_HOL_Obool)), _u4677), hAPP(hAPP(c_Set_Oinsert(_u4675), _u4676), _u4678))) )).
% 29.00/29.23 cnf(matrix-3099, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4679), _u4680), _u4681)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4679, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4679), _u4680), _u4682)), _u4681) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4679, tc_HOL_Obool)), _u4682), _u4681)) )).
% 29.00/29.23 cnf(matrix-3100, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4687), _u4689), _u4691)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4687, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4687), _u4689), _u4693)), _u4691) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4687, tc_HOL_Obool)), _u4693), _u4691)) )).
% 29.00/29.23 cnf(matrix-3101, plain, ( hBOOL(hAPP(hAPP(c_member(_u4688), _u4690), _u4692)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4688, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4688), _u4690), _u4694)), _u4692) = hAPP(hAPP(c_Set_Oinsert(_u4688), _u4690), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4688, tc_HOL_Obool)), _u4694), _u4692))) )).
% 29.00/29.23 cnf(matrix-3102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4697), _u4699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4697)), _u4699)) )).
% 29.00/29.23 cnf(matrix-3103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4698)), _u4700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4698), _u4700)) )).
% 29.00/29.23 cnf(matrix-3104, plain, ( ( c_Int_Opred(_u4701) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4701), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3105, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u4702) = c_Int_Opred(_u4702)) )).
% 29.00/29.23 cnf(matrix-3106, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4703), c_Int_OMin) = c_Int_Opred(_u4703)) )).
% 29.00/29.23 cnf(matrix-3107, plain, ( hBOOL(hAPP(hAPP(c_member(_u4704), _u4705), _u4706)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4704, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4704), _u4705), _u4706)), hAPP(hAPP(c_Set_Oinsert(_u4704), _u4705), c_Orderings_Obot__class_Obot(tc_fun(_u4704, tc_HOL_Obool)))) = _u4706) )).
% 29.00/29.23 cnf(matrix-3108, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4707), _u4708), _u4709)) | ( hAPP(hAPP(c_Set_Oinsert(_u4707), _u4708), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4707, tc_HOL_Obool)), _u4709), hAPP(hAPP(c_Set_Oinsert(_u4707), _u4708), c_Orderings_Obot__class_Obot(tc_fun(_u4707, tc_HOL_Obool))))) = _u4709) )).
% 29.00/29.23 cnf(matrix-3109, plain, ( ( c_Int_Osucc(_u4710) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4710), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3110, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4711), c_Int_OMin) = c_Int_Osucc(_u4711)) )).
% 29.00/29.23 cnf(matrix-3111, plain, ( ~class_Int_Onumber__ring(_u4712) | ~c_Int_Oiszero(_u4712, hAPP(c_Int_Onumber__class_Onumber__of(_u4712), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4717, tc_HOL_Obool)), _u4719), hAPP(hAPP(c_Set_Oinsert(_u4717), _u4721), _u4723))) | ~hBOOL(hAPP(hAPP(c_member(_u4717), _u4721), _u4719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4717, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4717, tc_HOL_Obool)), _u4719), hAPP(hAPP(c_Set_Oinsert(_u4717), _u4721), c_Orderings_Obot__class_Obot(tc_fun(_u4717, tc_HOL_Obool))))), _u4723)) )).
% 29.00/29.23 cnf(matrix-3113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4717, tc_HOL_Obool)), _u4719), hAPP(hAPP(c_Set_Oinsert(_u4717), _u4721), _u4723))) | hBOOL(hAPP(hAPP(c_member(_u4717), _u4721), _u4719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4717, tc_HOL_Obool)), _u4719), _u4723)) )).
% 29.00/29.23 cnf(matrix-3114, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), _u4724))) | hBOOL(hAPP(hAPP(c_member(_u4718), _u4722), _u4720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), _u4724)) )).
% 29.00/29.23 cnf(matrix-3115, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), _u4724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), c_Orderings_Obot__class_Obot(tc_fun(_u4718, tc_HOL_Obool))))), _u4724)) | ~hBOOL(hAPP(hAPP(c_member(_u4718), _u4722), _u4720)) )).
% 29.00/29.23 cnf(matrix-3116, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), _u4724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4718, tc_HOL_Obool)), _u4720), hAPP(hAPP(c_Set_Oinsert(_u4718), _u4722), c_Orderings_Obot__class_Obot(tc_fun(_u4718, tc_HOL_Obool))))), _u4724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4718, tc_HOL_Obool)), _u4720), _u4724)) )).
% 29.00/29.23 cnf(matrix-3117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4725, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4725, tc_HOL_Obool)), _u4726), hAPP(hAPP(c_Set_Oinsert(_u4725), _u4727), c_Orderings_Obot__class_Obot(tc_fun(_u4725, tc_HOL_Obool))))), _u4728)) | ~hBOOL(hAPP(hAPP(c_member(_u4725), _u4727), _u4726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4725, tc_HOL_Obool)), _u4726), hAPP(hAPP(c_Set_Oinsert(_u4725), _u4727), _u4728))) )).
% 29.00/29.23 cnf(matrix-3118, plain, ( ~class_Int_Onumber__ring(_u4729) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4729), c_Int_Osucc(_u4730)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4729), c_Groups_Oone__class_Oone(_u4729)), hAPP(c_Int_Onumber__class_Onumber__of(_u4729), _u4730))) )).
% 29.00/29.23 cnf(matrix-3119, plain, ( ~class_Int_Onumber__ring(_u4731) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4731), c_Int_Opred(_u4732)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4731), hAPP(c_Groups_Ouminus__class_Ouminus(_u4731), c_Groups_Oone__class_Oone(_u4731))), hAPP(c_Int_Onumber__class_Onumber__of(_u4731), _u4732))) )).
% 29.00/29.23 cnf(matrix-3120, plain, ( ~class_Rings_Olinordered__idom(_u4733) | ~hBOOL(hAPP(hAPP(c_member(_u4733), _u4734), c_Int_Oring__1__class_OInts(_u4733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4733), c_Groups_Oone__class_Oone(_u4733)), _u4734)), _u4734)), c_Groups_Ozero__class_Ozero(_u4733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4733), _u4734), c_Groups_Ozero__class_Ozero(_u4733))) )).
% 29.00/29.23 cnf(matrix-3121, plain, ( ~class_Rings_Olinordered__idom(_u4733) | ~hBOOL(hAPP(hAPP(c_member(_u4733), _u4734), c_Int_Oring__1__class_OInts(_u4733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4733), _u4734), c_Groups_Ozero__class_Ozero(_u4733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4733), c_Groups_Oone__class_Oone(_u4733)), _u4734)), _u4734)), c_Groups_Ozero__class_Ozero(_u4733))) )).
% 29.00/29.23 cnf(matrix-3122, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4736), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4736)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3123, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4737), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4737)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4737))) )).
% 29.00/29.23 cnf(matrix-3124, plain, ( ~class_Int_Oring__char__0(_u4738) | ~hBOOL(hAPP(hAPP(c_member(_u4738), _u4739), c_Int_Oring__1__class_OInts(_u4738))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4738), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4738), c_Groups_Oone__class_Oone(_u4738)), _u4739)), _u4739) != c_Groups_Ozero__class_Ozero(_u4738)) )).
% 29.00/29.23 cnf(matrix-3125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4741), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4741)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3126, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4742), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4742)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4742))) )).
% 29.00/29.23 cnf(matrix-3127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4744), 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), _u4744)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3128, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4745), 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), _u4745)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4745))) )).
% 29.00/29.23 cnf(matrix-3129, plain, ( ~class_Int_Onumber__ring(_u4746) | ( c_Groups_Ozero__class_Ozero(_u4746) != hAPP(c_Int_Onumber__class_Onumber__of(_u4746), _u4747)) | c_Int_Oiszero(_u4746, hAPP(c_Int_Onumber__class_Onumber__of(_u4746), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4747)))) )).
% 29.00/29.23 cnf(matrix-3130, plain, ( ~class_Int_Onumber__ring(_u4746) | ~c_Int_Oiszero(_u4746, hAPP(c_Int_Onumber__class_Onumber__of(_u4746), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4747)))) | ( c_Groups_Ozero__class_Ozero(_u4746) = hAPP(c_Int_Onumber__class_Onumber__of(_u4746), _u4747)) )).
% 29.00/29.23 cnf(matrix-3131, plain, ( ~class_Int_Onumber__ring(_u4748) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4748), _u4749) != c_Groups_Ozero__class_Ozero(_u4748)) | c_Int_Oiszero(_u4748, hAPP(c_Int_Onumber__class_Onumber__of(_u4748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4749), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 29.00/29.23 cnf(matrix-3132, plain, ( ~class_Int_Onumber__ring(_u4748) | ~c_Int_Oiszero(_u4748, hAPP(c_Int_Onumber__class_Onumber__of(_u4748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4749), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4748), _u4749) = c_Groups_Ozero__class_Ozero(_u4748)) )).
% 29.00/29.23 cnf(matrix-3133, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-3134, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3136, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4750) = _u4750) )).
% 29.00/29.23 cnf(matrix-3137, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4751), c_Int_OPls) = _u4751) )).
% 29.00/29.23 cnf(matrix-3138, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4752) = c_Int_OPls) )).
% 29.00/29.23 cnf(matrix-3139, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4753), c_Int_OPls) = _u4753) )).
% 29.00/29.23 cnf(matrix-3140, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 29.00/29.23 cnf(matrix-3141, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 29.00/29.23 cnf(matrix-3142, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 29.00/29.23 cnf(matrix-3143, plain, ( ~class_Int_Onumber__ring(_u4754) | ( c_Groups_Ozero__class_Ozero(_u4754) = hAPP(c_Int_Onumber__class_Onumber__of(_u4754), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3144, plain, ( ~class_Int_Onumber__ring(_u4755) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4755), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4755)) )).
% 29.00/29.23 cnf(matrix-3145, plain, ( ~class_Int_Onumber__ring(_u4756) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4756), _u4757), hAPP(c_Int_Onumber__class_Onumber__of(_u4756), c_Int_OPls)) = _u4757) )).
% 29.00/29.23 cnf(matrix-3146, plain, ( ~class_Int_Onumber__ring(_u4758) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4758), hAPP(c_Int_Onumber__class_Onumber__of(_u4758), c_Int_OPls)), _u4759) = _u4759) )).
% 29.00/29.23 cnf(matrix-3147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3148, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3149, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3150, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3151, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3153, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3154, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3155, 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)) )).
% 29.00/29.23 cnf(matrix-3156, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 29.00/29.23 cnf(matrix-3157, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 29.00/29.23 cnf(matrix-3158, plain, ( ~class_Int_Onumber__ring(_u4760) | c_Int_Oiszero(_u4760, hAPP(c_Int_Onumber__class_Onumber__of(_u4760), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3159, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 29.00/29.23 cnf(matrix-3160, plain, ( ~class_Rings_Oring__1(_u4761) | hBOOL(hAPP(hAPP(c_member(_u4761), c_Groups_Ozero__class_Ozero(_u4761)), c_Int_Oring__1__class_OInts(_u4761))) )).
% 29.00/29.23 cnf(matrix-3161, plain, ( ~class_Rings_Oring__1(_u4762) | ~hBOOL(hAPP(hAPP(c_member(_u4762), _u4763), c_Int_Oring__1__class_OInts(_u4762))) | ~hBOOL(hAPP(hAPP(c_member(_u4762), _u4764), c_Int_Oring__1__class_OInts(_u4762))) | hBOOL(hAPP(hAPP(c_member(_u4762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4762), _u4763), _u4764)), c_Int_Oring__1__class_OInts(_u4762))) )).
% 29.00/29.23 cnf(matrix-3162, plain, ( ~class_Rings_Oring__1(_u4765) | ~hBOOL(hAPP(hAPP(c_member(_u4765), _u4766), c_Int_Oring__1__class_OInts(_u4765))) | ~hBOOL(hAPP(hAPP(c_member(_u4765), _u4767), c_Int_Oring__1__class_OInts(_u4765))) | hBOOL(hAPP(hAPP(c_member(_u4765), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4765), _u4766), _u4767)), c_Int_Oring__1__class_OInts(_u4765))) )).
% 29.00/29.23 cnf(matrix-3163, plain, ( ~class_Rings_Oring__1(_u4768) | ~hBOOL(hAPP(hAPP(c_member(_u4768), _u4769), c_Int_Oring__1__class_OInts(_u4768))) | ~hBOOL(hAPP(hAPP(c_member(_u4768), _u4770), c_Int_Oring__1__class_OInts(_u4768))) | hBOOL(hAPP(hAPP(c_member(_u4768), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4768), _u4769), _u4770)), c_Int_Oring__1__class_OInts(_u4768))) )).
% 29.00/29.23 cnf(matrix-3164, plain, ( ~class_Int_Onumber__ring(_u4771) | hBOOL(hAPP(hAPP(c_member(_u4771), hAPP(c_Int_Onumber__class_Onumber__of(_u4771), _u4772)), c_Int_Oring__1__class_OInts(_u4771))) )).
% 29.00/29.23 cnf(matrix-3165, plain, ( ~class_Rings_Oring__1(_u4773) | hBOOL(hAPP(hAPP(c_member(_u4773), c_Groups_Oone__class_Oone(_u4773)), c_Int_Oring__1__class_OInts(_u4773))) )).
% 29.00/29.23 cnf(matrix-3166, plain, ( ~class_Rings_Oring__1(_u4774) | ~hBOOL(hAPP(hAPP(c_member(_u4774), _u4775), c_Int_Oring__1__class_OInts(_u4774))) | hBOOL(hAPP(hAPP(c_member(_u4774), hAPP(c_Groups_Ouminus__class_Ouminus(_u4774), _u4775)), c_Int_Oring__1__class_OInts(_u4774))) )).
% 29.00/29.23 cnf(matrix-3167, plain, ( ~class_Rings_Oring__1(_u4776) | hBOOL(hAPP(hAPP(c_member(_u4776), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4776), _u4777)), c_Int_Oring__1__class_OInts(_u4776))) )).
% 29.00/29.23 cnf(matrix-3168, plain, ( ~class_Rings_Oring__1(_u4778) | ~hBOOL(hAPP(hAPP(c_member(_u4778), _u4779), c_Int_Oring__1__class_OInts(_u4778))) | hBOOL(hAPP(hAPP(c_member(_u4778), hAPP(hAPP(c_Power_Opower__class_Opower(_u4778), _u4779), _u4780)), c_Int_Oring__1__class_OInts(_u4778))) )).
% 29.00/29.23 cnf(matrix-3169, plain, ( ~class_Rings_Oring__1(_u4781) | hBOOL(hAPP(hAPP(c_member(_u4781), hAPP(c_Int_Oring__1__class_Oof__int(_u4781), _u4782)), c_Int_Oring__1__class_OInts(_u4781))) )).
% 29.00/29.23 cnf(matrix-3170, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4784) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4784), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4785), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4785) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3172, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4787), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4788), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4788)) )).
% 29.00/29.23 cnf(matrix-3174, 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))) )).
% 29.00/29.23 cnf(matrix-3175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4791)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4793))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4791), _u4793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4793)) )).
% 29.00/29.23 cnf(matrix-3176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4791)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4793))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4791), _u4793)) )).
% 29.00/29.23 cnf(matrix-3177, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4792)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4792), _u4794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4794)) )).
% 29.00/29.23 cnf(matrix-3178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4797)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4797), _u4799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4797), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3179, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4798)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4798), _u4800)) )).
% 29.00/29.23 cnf(matrix-3180, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4798)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4798), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3181, plain, ( ~class_Int_Onumber__ring(_u4801) | ~class_Rings_Olinordered__idom(_u4801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4801), c_Groups_Ozero__class_Ozero(_u4801)), hAPP(c_Int_Onumber__class_Onumber__of(_u4801), _u4802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4802)) )).
% 29.00/29.23 cnf(matrix-3182, plain, ( ~class_Int_Onumber__ring(_u4801) | ~class_Rings_Olinordered__idom(_u4801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4801), c_Groups_Ozero__class_Ozero(_u4801)), hAPP(c_Int_Onumber__class_Onumber__of(_u4801), _u4802))) )).
% 29.00/29.23 cnf(matrix-3183, plain, ( ~class_Int_Onumber__ring(_u4803) | ~class_Rings_Olinordered__idom(_u4803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4803), hAPP(c_Int_Onumber__class_Onumber__of(_u4803), _u4804)), c_Groups_Ozero__class_Ozero(_u4803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4804), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3184, plain, ( ~class_Int_Onumber__ring(_u4803) | ~class_Rings_Olinordered__idom(_u4803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4804), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4803), hAPP(c_Int_Onumber__class_Onumber__of(_u4803), _u4804)), c_Groups_Ozero__class_Ozero(_u4803))) )).
% 29.00/29.23 cnf(matrix-3185, plain, ( ~class_Int_Onumber__ring(_u4805) | ~class_Rings_Olinordered__idom(_u4805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4805), c_Groups_Ozero__class_Ozero(_u4805)), hAPP(c_Int_Onumber__class_Onumber__of(_u4805), _u4806))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4806)) )).
% 29.00/29.23 cnf(matrix-3186, plain, ( ~class_Int_Onumber__ring(_u4805) | ~class_Rings_Olinordered__idom(_u4805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4805), c_Groups_Ozero__class_Ozero(_u4805)), hAPP(c_Int_Onumber__class_Onumber__of(_u4805), _u4806))) )).
% 29.00/29.23 cnf(matrix-3187, plain, ( ~class_Int_Onumber__ring(_u4807) | ~class_Rings_Olinordered__idom(_u4807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4807), hAPP(c_Int_Onumber__class_Onumber__of(_u4807), _u4808)), c_Groups_Ozero__class_Ozero(_u4807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4808), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3188, plain, ( ~class_Int_Onumber__ring(_u4807) | ~class_Rings_Olinordered__idom(_u4807) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4808), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4807), hAPP(c_Int_Onumber__class_Onumber__of(_u4807), _u4808)), c_Groups_Ozero__class_Ozero(_u4807))) )).
% 29.00/29.23 cnf(matrix-3189, 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), _u4810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4810)) )).
% 29.00/29.23 cnf(matrix-3190, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4811)) | 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), _u4811))) )).
% 29.00/29.23 cnf(matrix-3191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4814), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4814)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4816)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4816)) )).
% 29.00/29.23 cnf(matrix-3192, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4817), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4815)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4817)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4815)) )).
% 29.00/29.23 cnf(matrix-3193, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4817), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4815)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4817)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4815), _u4817))) )).
% 29.00/29.23 cnf(matrix-3194, plain, ( ~class_Int_Oring__char__0(_u4818) | ~hBOOL(hAPP(hAPP(c_member(_u4818), _u4819), c_Int_Oring__1__class_OInts(_u4818))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4818), _u4819), _u4819) != c_Groups_Ozero__class_Ozero(_u4818)) | ( _u4819 = c_Groups_Ozero__class_Ozero(_u4818)) )).
% 29.00/29.23 cnf(matrix-3195, plain, ( ~class_Int_Oring__char__0(_u4818) | ~hBOOL(hAPP(hAPP(c_member(_u4818), _u4819), c_Int_Oring__1__class_OInts(_u4818))) | ( _u4819 != c_Groups_Ozero__class_Ozero(_u4818)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4818), _u4819), _u4819) = c_Groups_Ozero__class_Ozero(_u4818)) )).
% 29.00/29.23 cnf(matrix-3196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4822), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4822)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4824)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3197, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4823), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4823)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4825)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4823), _u4825))) )).
% 29.00/29.23 cnf(matrix-3198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4829), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4829)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4831)), _u4833)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.23 cnf(matrix-3199, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4830), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4830)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4832)), _u4834)) = 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), _u4830), _u4832))), _u4834)) )).
% 29.00/29.23 cnf(matrix-3200, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4835)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4836)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4835)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4836), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4835)))) )).
% 29.00/29.23 cnf(matrix-3201, plain, ( ~class_Int_Onumber__ring(_u4837) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4838)) | hBOOL(hAPP(hAPP(c_member(_u4837), hAPP(c_Int_Onumber__class_Onumber__of(_u4837), _u4838)), c_Nat_Osemiring__1__class_ONats(_u4837))) )).
% 29.00/29.23 cnf(matrix-3202, plain, ( ~class_Int_Onumber__ring(_u4839) | ( c_Groups_Oone__class_Oone(_u4839) != hAPP(c_Int_Onumber__class_Onumber__of(_u4839), _u4840)) | c_Int_Oiszero(_u4839, hAPP(c_Int_Onumber__class_Onumber__of(_u4839), 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), _u4840)))) )).
% 29.00/29.23 cnf(matrix-3203, plain, ( ~class_Int_Onumber__ring(_u4839) | ~c_Int_Oiszero(_u4839, hAPP(c_Int_Onumber__class_Onumber__of(_u4839), 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), _u4840)))) | ( c_Groups_Oone__class_Oone(_u4839) = hAPP(c_Int_Onumber__class_Onumber__of(_u4839), _u4840)) )).
% 29.00/29.23 cnf(matrix-3204, plain, ( ~class_Int_Onumber__ring(_u4841) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4841), _u4842) != c_Groups_Oone__class_Oone(_u4841)) | c_Int_Oiszero(_u4841, hAPP(c_Int_Onumber__class_Onumber__of(_u4841), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4842), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3205, plain, ( ~class_Int_Onumber__ring(_u4841) | ~c_Int_Oiszero(_u4841, hAPP(c_Int_Onumber__class_Onumber__of(_u4841), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4842), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4841), _u4842) = c_Groups_Oone__class_Oone(_u4841)) )).
% 29.00/29.23 cnf(matrix-3206, plain, ( ~class_Int_Onumber__ring(_u4843) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4843), c_Groups_Oone__class_Oone(_u4843)), hAPP(c_Int_Onumber__class_Onumber__of(_u4843), _u4844)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4843), 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), _u4844)))) )).
% 29.00/29.23 cnf(matrix-3207, plain, ( ~class_Int_Onumber__ring(_u4845) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4845), hAPP(c_Int_Onumber__class_Onumber__of(_u4845), _u4846)), c_Groups_Oone__class_Oone(_u4845)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4845), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4846), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3208, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4847)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4848)) = 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)))), _u4847)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4848))) )).
% 29.00/29.23 cnf(matrix-3209, plain, ( ( c_Int_OBit1(_u4851) != c_Int_OBit1(_u4853)) | ( _u4851 = _u4853) )).
% 29.00/29.23 cnf(matrix-3210, plain, ( ( _u4852 != _u4854) | ( c_Int_OBit1(_u4852) = c_Int_OBit1(_u4854)) )).
% 29.00/29.23 cnf(matrix-3211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4857)), c_Int_OBit1(_u4859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4857), _u4859)) )).
% 29.00/29.23 cnf(matrix-3212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4858), _u4860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4858)), c_Int_OBit1(_u4860))) )).
% 29.00/29.23 cnf(matrix-3213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4863)), c_Int_OBit1(_u4865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4863), _u4865)) )).
% 29.00/29.23 cnf(matrix-3214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4864), _u4866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4864)), c_Int_OBit1(_u4866))) )).
% 29.00/29.23 cnf(matrix-3215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4869)), c_Int_OBit1(_u4871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4869), _u4871)) )).
% 29.00/29.23 cnf(matrix-3216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4870), _u4872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4870)), c_Int_OBit1(_u4872))) )).
% 29.00/29.23 cnf(matrix-3217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4875)), c_Int_OBit1(_u4877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4875), _u4877)) )).
% 29.00/29.23 cnf(matrix-3218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4876), _u4878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4876)), c_Int_OBit1(_u4878))) )).
% 29.00/29.23 cnf(matrix-3219, plain, ( ( c_Int_OPls != c_Int_OBit1(_u4879)) )).
% 29.00/29.23 cnf(matrix-3220, plain, ( ( c_Int_OBit1(_u4880) != c_Int_OPls) )).
% 29.00/29.23 cnf(matrix-3221, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 29.00/29.23 cnf(matrix-3222, plain, ( ( c_Int_OMin != c_Int_OBit1(_u4882)) | ( c_Int_OMin = _u4882) )).
% 29.00/29.23 cnf(matrix-3223, plain, ( ( c_Int_OMin != _u4883) | ( c_Int_OMin = c_Int_OBit1(_u4883)) )).
% 29.00/29.23 cnf(matrix-3224, plain, ( ( c_Int_OBit1(_u4885) != c_Int_OMin) | ( _u4885 = c_Int_OMin) )).
% 29.00/29.23 cnf(matrix-3225, plain, ( ( _u4886 != c_Int_OMin) | ( c_Int_OBit1(_u4886) = c_Int_OMin) )).
% 29.00/29.23 cnf(matrix-3226, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4888)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4888), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4889), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4889)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4891)) )).
% 29.00/29.23 cnf(matrix-3229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4892))) )).
% 29.00/29.23 cnf(matrix-3230, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4894)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4894), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3231, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4895), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4895)), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3232, plain, ( ( c_Int_OBit1(_u4896) = 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)), _u4896)), _u4896)) )).
% 29.00/29.23 cnf(matrix-3233, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4898)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4898), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4899), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4899)), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3235, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4901))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4901)) )).
% 29.00/29.23 cnf(matrix-3236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u4902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4902))) )).
% 29.00/29.23 cnf(matrix-3237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4904))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4904)) )).
% 29.00/29.23 cnf(matrix-3238, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u4905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u4905))) )).
% 29.00/29.23 cnf(matrix-3239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4907)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4907), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4908), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u4908)), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3241, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4910)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4910))) )).
% 29.00/29.23 cnf(matrix-3242, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4911))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4911)))) )).
% 29.00/29.23 cnf(matrix-3243, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u4912)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u4912)))) )).
% 29.00/29.23 cnf(matrix-3244, plain, ( ~class_Int_Onumber__ring(_u4913) | ~class_Int_Oring__char__0(_u4913) | ~c_Int_Oiszero(_u4913, hAPP(c_Int_Onumber__class_Onumber__of(_u4913), c_Int_OBit1(_u4914))) )).
% 29.00/29.23 cnf(matrix-3245, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3246, plain, ( ~class_Int_Onumber__ring(_u4915) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4915), c_Int_OBit1(_u4916)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4915), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4915), c_Groups_Oone__class_Oone(_u4915)), hAPP(c_Int_Onumber__class_Onumber__of(_u4915), _u4916))), hAPP(c_Int_Onumber__class_Onumber__of(_u4915), _u4916))) )).
% 29.00/29.23 cnf(matrix-3247, plain, ( ~class_Int_Onumber__ring(_u4917) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4917), _u4918), hAPP(c_Int_Onumber__class_Onumber__of(_u4917), c_Int_OBit1(c_Int_OPls))) = _u4918) )).
% 29.00/29.23 cnf(matrix-3248, plain, ( ~class_Int_Onumber__ring(_u4919) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4919), hAPP(c_Int_Onumber__class_Onumber__of(_u4919), c_Int_OBit1(c_Int_OPls))), _u4920) = _u4920) )).
% 29.00/29.23 cnf(matrix-3249, plain, ( ~class_Int_Onumber__ring(_u4921) | ( c_Groups_Oone__class_Oone(_u4921) = hAPP(c_Int_Onumber__class_Onumber__of(_u4921), c_Int_OBit1(c_Int_OPls))) )).
% 29.00/29.23 cnf(matrix-3250, plain, ( ~class_Int_Onumber__ring(_u4922) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4922), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u4922)) )).
% 29.00/29.23 cnf(matrix-3251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4924)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4924), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4925), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u4925)), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4927))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4927)) )).
% 29.00/29.23 cnf(matrix-3254, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4928))) )).
% 29.00/29.23 cnf(matrix-3255, 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))) )).
% 29.00/29.23 cnf(matrix-3256, 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))) )).
% 29.00/29.23 cnf(matrix-3257, 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)) )).
% 29.00/29.23 cnf(matrix-3258, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u4929)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u4929))) )).
% 29.00/29.23 cnf(matrix-3259, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3260, plain, ( ~class_Int_Onumber__ring(_u4930) | ~c_Int_Oiszero(_u4930, hAPP(c_Int_Onumber__class_Onumber__of(_u4930), c_Int_OBit1(c_Int_OPls))) )).
% 29.00/29.23 cnf(matrix-3261, plain, ( ~class_Rings_Osemiring__1(_u4931) | hBOOL(hAPP(hAPP(c_member(_u4931), c_Groups_Ozero__class_Ozero(_u4931)), c_Nat_Osemiring__1__class_ONats(_u4931))) )).
% 29.00/29.23 cnf(matrix-3262, plain, ( ~class_Rings_Osemiring__1(_u4932) | ~hBOOL(hAPP(hAPP(c_member(_u4932), _u4933), c_Nat_Osemiring__1__class_ONats(_u4932))) | ~hBOOL(hAPP(hAPP(c_member(_u4932), _u4934), c_Nat_Osemiring__1__class_ONats(_u4932))) | hBOOL(hAPP(hAPP(c_member(_u4932), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4932), _u4933), _u4934)), c_Nat_Osemiring__1__class_ONats(_u4932))) )).
% 29.00/29.23 cnf(matrix-3263, plain, ( ~class_Rings_Osemiring__1(_u4935) | ~hBOOL(hAPP(hAPP(c_member(_u4935), _u4936), c_Nat_Osemiring__1__class_ONats(_u4935))) | ~hBOOL(hAPP(hAPP(c_member(_u4935), _u4937), c_Nat_Osemiring__1__class_ONats(_u4935))) | hBOOL(hAPP(hAPP(c_member(_u4935), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4935), _u4936), _u4937)), c_Nat_Osemiring__1__class_ONats(_u4935))) )).
% 29.00/29.23 cnf(matrix-3264, plain, ( ~class_Rings_Osemiring__1(_u4938) | hBOOL(hAPP(hAPP(c_member(_u4938), c_Groups_Oone__class_Oone(_u4938)), c_Nat_Osemiring__1__class_ONats(_u4938))) )).
% 29.00/29.23 cnf(matrix-3265, plain, ( ~class_Rings_Osemiring__1(_u4939) | hBOOL(hAPP(hAPP(c_member(_u4939), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4939), _u4940)), c_Nat_Osemiring__1__class_ONats(_u4939))) )).
% 29.00/29.23 cnf(matrix-3266, 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))))) )).
% 29.00/29.23 cnf(matrix-3267, 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))) )).
% 29.00/29.23 cnf(matrix-3268, plain, ( ~class_Groups_Omonoid__mult(_u4941) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u4941), _u4942), 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(_u4941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4941), _u4942), _u4942)), _u4942)) )).
% 29.00/29.23 cnf(matrix-3269, 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))))) )).
% 29.00/29.23 cnf(matrix-3270, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4943))) = 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)))), _u4943)) )).
% 29.00/29.23 cnf(matrix-3271, 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))))) )).
% 29.00/29.23 cnf(matrix-3272, 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))))) )).
% 29.00/29.23 cnf(matrix-3273, plain, ( ~class_Int_Onumber__ring(_u4944) | ~class_Rings_Olinordered__idom(_u4944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4944), c_Groups_Oone__class_Oone(_u4944)), hAPP(c_Int_Onumber__class_Onumber__of(_u4944), _u4945))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4945)) )).
% 29.00/29.23 cnf(matrix-3274, plain, ( ~class_Int_Onumber__ring(_u4944) | ~class_Rings_Olinordered__idom(_u4944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4944), c_Groups_Oone__class_Oone(_u4944)), hAPP(c_Int_Onumber__class_Onumber__of(_u4944), _u4945))) )).
% 29.00/29.23 cnf(matrix-3275, plain, ( ~class_Int_Onumber__ring(_u4946) | ~class_Rings_Olinordered__idom(_u4946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4946), hAPP(c_Int_Onumber__class_Onumber__of(_u4946), _u4947)), c_Groups_Oone__class_Oone(_u4946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4947), c_Int_OBit1(c_Int_OPls))) )).
% 29.00/29.23 cnf(matrix-3276, plain, ( ~class_Int_Onumber__ring(_u4946) | ~class_Rings_Olinordered__idom(_u4946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4947), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4946), hAPP(c_Int_Onumber__class_Onumber__of(_u4946), _u4947)), c_Groups_Oone__class_Oone(_u4946))) )).
% 29.00/29.23 cnf(matrix-3277, plain, ( ~class_Int_Onumber__ring(_u4948) | ~class_Rings_Olinordered__idom(_u4948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4948), hAPP(c_Int_Onumber__class_Onumber__of(_u4948), _u4949)), c_Groups_Oone__class_Oone(_u4948))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4949), c_Int_OBit1(c_Int_OPls))) )).
% 29.00/29.23 cnf(matrix-3278, plain, ( ~class_Int_Onumber__ring(_u4948) | ~class_Rings_Olinordered__idom(_u4948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4949), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4948), hAPP(c_Int_Onumber__class_Onumber__of(_u4948), _u4949)), c_Groups_Oone__class_Oone(_u4948))) )).
% 29.00/29.23 cnf(matrix-3279, plain, ( ~class_Int_Onumber__ring(_u4950) | ~class_Rings_Olinordered__idom(_u4950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4950), c_Groups_Oone__class_Oone(_u4950)), hAPP(c_Int_Onumber__class_Onumber__of(_u4950), _u4951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4951)) )).
% 29.00/29.23 cnf(matrix-3280, plain, ( ~class_Int_Onumber__ring(_u4950) | ~class_Rings_Olinordered__idom(_u4950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4950), c_Groups_Oone__class_Oone(_u4950)), hAPP(c_Int_Onumber__class_Onumber__of(_u4950), _u4951))) )).
% 29.00/29.23 cnf(matrix-3281, plain, ( ~class_Int_Onumber__ring(_u4952) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4952), c_Groups_Oone__class_Oone(_u4952)), hAPP(c_Int_Onumber__class_Onumber__of(_u4952), _u4953)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4952), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u4953))) )).
% 29.00/29.23 cnf(matrix-3282, plain, ( ~class_Int_Onumber__ring(_u4954) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4954), hAPP(c_Int_Onumber__class_Onumber__of(_u4954), _u4955)), c_Groups_Oone__class_Oone(_u4954)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4954), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4955), c_Int_OBit1(c_Int_OPls)))) )).
% 29.00/29.23 cnf(matrix-3283, 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)), _u4956)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4957)), _u4956) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4957), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4956), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3284, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4958, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4959)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u4958, 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)))), _u4959))) )).
% 29.00/29.23 cnf(matrix-3285, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4960))), _u4961) = 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)))), _u4960), _u4961)) )).
% 29.00/29.23 cnf(matrix-3286, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4962))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4963)) = 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)))), _u4962), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4963))) )).
% 29.00/29.23 cnf(matrix-3287, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4964), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4965)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u4964), 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)))), _u4965))) )).
% 29.00/29.23 cnf(matrix-3288, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u4966)))), _u4967) = 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)))), _u4966)), _u4967)) )).
% 29.00/29.23 cnf(matrix-3289, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4968), 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)))), _u4969)), 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)))), _u4968)) = 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), _u4969), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4968))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3290, 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), _u4972))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4974)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4972))) = 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), _u4974), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4972)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3291, 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), _u4973))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u4975)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u4973))) = 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), _u4975)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4973)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4976), 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)))), _u4977))), 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)))), _u4976)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4977), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4976)) )).
% 29.00/29.23 cnf(matrix-3293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4978)) | ( 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)))), _u4979))), 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)))), _u4978)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u4979), _u4978)) )).
% 29.00/29.23 cnf(matrix-3294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4980)) | ( 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)))), _u4981)), 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)))), _u4980)) = 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, _u4981, _u4980)))) )).
% 29.00/29.23 cnf(matrix-3295, plain, ( ~class_Rings_Osemiring__1(_u4982) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4983)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4982), 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)))), _u4983))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4982), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4982), hAPP(c_Int_Onat, _u4983))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4982), hAPP(c_Int_Onat, _u4983)))) )).
% 29.00/29.23 cnf(matrix-3296, plain, ( ( c_Int_OBit0(_u4986) != c_Int_OBit0(_u4988)) | ( _u4986 = _u4988) )).
% 29.00/29.23 cnf(matrix-3297, plain, ( ( _u4987 != _u4989) | ( c_Int_OBit0(_u4987) = c_Int_OBit0(_u4989)) )).
% 29.00/29.23 cnf(matrix-3298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4992)), c_Int_OBit0(_u4994))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4992), _u4994)) )).
% 29.00/29.23 cnf(matrix-3299, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4993), _u4995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4993)), c_Int_OBit0(_u4995))) )).
% 29.00/29.23 cnf(matrix-3300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4998)), c_Int_OBit0(_u5000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4998), _u5000)) )).
% 29.00/29.23 cnf(matrix-3301, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4999), _u5001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u4999)), c_Int_OBit0(_u5001))) )).
% 29.00/29.23 cnf(matrix-3302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5004)), c_Int_OBit0(_u5006))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5004), _u5006)) )).
% 29.00/29.23 cnf(matrix-3303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5005), _u5007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5005)), c_Int_OBit0(_u5007))) )).
% 29.00/29.23 cnf(matrix-3304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5010)), c_Int_OBit0(_u5012))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5010), _u5012)) )).
% 29.00/29.23 cnf(matrix-3305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5011), _u5013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5011)), c_Int_OBit0(_u5013))) )).
% 29.00/29.23 cnf(matrix-3306, plain, ( ( c_Int_OBit0(_u5015) != c_Int_OPls) | ( _u5015 = c_Int_OPls) )).
% 29.00/29.23 cnf(matrix-3307, plain, ( ( _u5016 != c_Int_OPls) | ( c_Int_OBit0(_u5016) = c_Int_OPls) )).
% 29.00/29.23 cnf(matrix-3308, plain, ( ( c_Int_OPls != c_Int_OBit0(_u5018)) | ( c_Int_OPls = _u5018) )).
% 29.00/29.23 cnf(matrix-3309, plain, ( ( c_Int_OPls != _u5019) | ( c_Int_OPls = c_Int_OBit0(_u5019)) )).
% 29.00/29.23 cnf(matrix-3310, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 29.00/29.23 cnf(matrix-3311, plain, ( ( c_Int_OBit1(_u5020) != c_Int_OBit0(_u5021)) )).
% 29.00/29.23 cnf(matrix-3312, plain, ( ( c_Int_OBit0(_u5022) != c_Int_OBit1(_u5023)) )).
% 29.00/29.23 cnf(matrix-3313, plain, ( ( c_Int_OBit0(_u5024) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5024), _u5024)) )).
% 29.00/29.23 cnf(matrix-3314, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5025)), c_Int_OBit0(_u5026)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5025), _u5026))) )).
% 29.00/29.23 cnf(matrix-3315, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u5027)), _u5028) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5027), _u5028))) )).
% 29.00/29.23 cnf(matrix-3316, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5029)), c_Int_OBit0(_u5030)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5029), _u5030))) )).
% 29.00/29.23 cnf(matrix-3317, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u5031)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5031))) )).
% 29.00/29.23 cnf(matrix-3318, plain, ( ( c_Int_OBit0(_u5032) != c_Int_OMin) )).
% 29.00/29.23 cnf(matrix-3319, plain, ( ( c_Int_OMin != c_Int_OBit0(_u5033)) )).
% 29.00/29.23 cnf(matrix-3320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5035)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5035), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3321, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5036), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5036)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.23 cnf(matrix-3322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5038))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5038)) )).
% 29.00/29.23 cnf(matrix-3323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5039))) )).
% 29.00/29.23 cnf(matrix-3324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5041)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5041), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5042), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5042)), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5045)), c_Int_OBit1(_u5047))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5045), _u5047)) )).
% 29.00/29.23 cnf(matrix-3327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5046), _u5048)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5046)), c_Int_OBit1(_u5048))) )).
% 29.00/29.23 cnf(matrix-3328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5051)), c_Int_OBit1(_u5053))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5051), _u5053)) )).
% 29.00/29.23 cnf(matrix-3329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5052), _u5054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5052)), c_Int_OBit1(_u5054))) )).
% 29.00/29.23 cnf(matrix-3330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5056)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5056), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5057), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5057)), c_Int_OPls)) )).
% 29.00/29.23 cnf(matrix-3332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5059)) )).
% 29.00/29.23 cnf(matrix-3333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5060))) )).
% 29.00/29.23 cnf(matrix-3334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5063)), c_Int_OBit0(_u5065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5063), _u5065)) )).
% 29.00/29.23 cnf(matrix-3335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5064), _u5066)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5064)), c_Int_OBit0(_u5066))) )).
% 29.00/29.23 cnf(matrix-3336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5069)), c_Int_OBit0(_u5071))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5069), _u5071)) )).
% 29.00/29.23 cnf(matrix-3337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5070), _u5072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5070)), c_Int_OBit0(_u5072))) )).
% 29.00/29.23 cnf(matrix-3338, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5073)), c_Int_OBit0(_u5074)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5073), _u5074))) )).
% 29.00/29.23 cnf(matrix-3339, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5075)), c_Int_OBit1(_u5076)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5075), _u5076))) )).
% 29.00/29.23 cnf(matrix-3340, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5077)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u5077))) )).
% 29.00/29.23 cnf(matrix-3341, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5078)), c_Int_OBit0(_u5079)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5078), _u5079))) )).
% 29.00/29.23 cnf(matrix-3342, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5080)), c_Int_OBit1(_u5081)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5080), _u5081))) )).
% 29.00/29.23 cnf(matrix-3343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5083)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5083), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5084), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5084)), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5086))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5086)) )).
% 29.00/29.23 cnf(matrix-3346, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5087)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5087))) )).
% 29.00/29.23 cnf(matrix-3347, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5088))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5089))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5088)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5089))) )).
% 29.00/29.23 cnf(matrix-3348, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5091)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5091))) )).
% 29.00/29.23 cnf(matrix-3349, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5092))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5092)))) )).
% 29.00/29.23 cnf(matrix-3350, plain, ( ( c_Int_Opred(c_Int_OBit1(_u5093)) = c_Int_OBit0(_u5093)) )).
% 29.00/29.23 cnf(matrix-3351, plain, ( ( c_Int_Opred(c_Int_OBit0(_u5094)) = c_Int_OBit1(c_Int_Opred(_u5094))) )).
% 29.00/29.23 cnf(matrix-3352, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3353, plain, ( ~class_Int_Onumber__ring(_u5095) | ~class_Int_Oring__char__0(_u5095) | ~c_Int_Oiszero(_u5095, hAPP(c_Int_Onumber__class_Onumber__of(_u5095), c_Int_OBit0(_u5096))) | c_Int_Oiszero(_u5095, hAPP(c_Int_Onumber__class_Onumber__of(_u5095), _u5096)) )).
% 29.00/29.23 cnf(matrix-3354, plain, ( ~class_Int_Onumber__ring(_u5095) | ~class_Int_Oring__char__0(_u5095) | ~c_Int_Oiszero(_u5095, hAPP(c_Int_Onumber__class_Onumber__of(_u5095), _u5096)) | c_Int_Oiszero(_u5095, hAPP(c_Int_Onumber__class_Onumber__of(_u5095), c_Int_OBit0(_u5096))) )).
% 29.00/29.23 cnf(matrix-3355, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u5097)) = c_Int_OBit1(_u5097)) )).
% 29.00/29.23 cnf(matrix-3356, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u5098)) = c_Int_OBit0(c_Int_Osucc(_u5098))) )).
% 29.00/29.23 cnf(matrix-3357, plain, ( ~class_Int_Onumber__ring(_u5099) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5099), c_Int_OBit0(_u5100)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5099), c_Groups_Ozero__class_Ozero(_u5099)), hAPP(c_Int_Onumber__class_Onumber__of(_u5099), _u5100))), hAPP(c_Int_Onumber__class_Onumber__of(_u5099), _u5100))) )).
% 29.00/29.23 cnf(matrix-3358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5103)), c_Int_OBit1(_u5105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5103), _u5105)) )).
% 29.00/29.23 cnf(matrix-3359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5104), _u5106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5104)), c_Int_OBit1(_u5106))) )).
% 29.00/29.23 cnf(matrix-3360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5109)), c_Int_OBit1(_u5111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5109), _u5111)) )).
% 29.00/29.23 cnf(matrix-3361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5110), _u5112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5110)), c_Int_OBit1(_u5112))) )).
% 29.00/29.23 cnf(matrix-3362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5115)), c_Int_OBit0(_u5117))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5115), _u5117)) )).
% 29.00/29.23 cnf(matrix-3363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5116), _u5118)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5116)), c_Int_OBit0(_u5118))) )).
% 29.00/29.23 cnf(matrix-3364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5121)), c_Int_OBit0(_u5123))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5121), _u5123)) )).
% 29.00/29.23 cnf(matrix-3365, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5122), _u5124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5122)), c_Int_OBit0(_u5124))) )).
% 29.00/29.23 cnf(matrix-3366, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u5125)), _u5126) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5125), _u5126))), _u5126)) )).
% 29.00/29.23 cnf(matrix-3367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5128))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5128)) )).
% 29.00/29.23 cnf(matrix-3368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u5129)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5129))) )).
% 29.00/29.23 cnf(matrix-3369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5131)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5131), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5132), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5132)), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3371, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u5133)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5133))) )).
% 29.00/29.23 cnf(matrix-3372, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u5134)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u5134))) )).
% 29.00/29.23 cnf(matrix-3373, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5135)), c_Int_OBit1(_u5136)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u5135)), _u5136))) )).
% 29.00/29.23 cnf(matrix-3374, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5137)), c_Int_OBit1(_u5138)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5137), c_Int_Osucc(_u5138)))) )).
% 29.00/29.23 cnf(matrix-3375, plain, ( ~class_Int_Onumber__ring(_u5139) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5139), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5139), c_Groups_Oone__class_Oone(_u5139)), c_Groups_Oone__class_Oone(_u5139))), hAPP(c_Int_Onumber__class_Onumber__of(_u5139), _u5140)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5139), c_Int_OBit0(_u5140))) )).
% 29.00/29.23 cnf(matrix-3376, 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), _u5141))) | 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(_u5141)))) )).
% 29.00/29.23 cnf(matrix-3377, 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), _u5141))) | 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(_u5141)))) )).
% 29.00/29.23 cnf(matrix-3378, plain, ( ~class_Int_Onumber__ring(_u5142) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5142), hAPP(c_Int_Onumber__class_Onumber__of(_u5142), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5143) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5142), _u5143), _u5143)) )).
% 29.00/29.23 cnf(matrix-3379, plain, ( ~class_Int_Onumber__ring(_u5144) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5144), _u5145), hAPP(c_Int_Onumber__class_Onumber__of(_u5144), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5144), _u5145), _u5145)) )).
% 29.00/29.23 cnf(matrix-3380, plain, ( ~class_Int_Onumber__ring(_u5146) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5146), c_Groups_Oone__class_Oone(_u5146)), c_Groups_Oone__class_Oone(_u5146)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5146), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 29.00/29.23 cnf(matrix-3381, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5147) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5147), _u5148), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u5147)) | ( _u5148 = c_Groups_Ozero__class_Ozero(_u5147)) )).
% 29.00/29.23 cnf(matrix-3382, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5147) | ( _u5148 != c_Groups_Ozero__class_Ozero(_u5147)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5147), _u5148), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5147)) )).
% 29.00/29.23 cnf(matrix-3383, plain, ( ~class_Rings_Osemiring__1(_u5149) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5149), c_Groups_Ozero__class_Ozero(_u5149)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u5149)) )).
% 29.00/29.23 cnf(matrix-3384, 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)))) )).
% 29.00/29.23 cnf(matrix-3385, 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)))) )).
% 29.00/29.23 cnf(matrix-3386, plain, ( ~class_Rings_Ocomm__semiring__1(_u5150) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5150), _u5151), _u5151) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5150), _u5151), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3387, plain, ( ~class_Groups_Omonoid__mult(_u5152) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5152), _u5153), 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(_u5152), _u5153), _u5153)) )).
% 29.00/29.23 cnf(matrix-3388, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3389, 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)))), _u5154) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5154))) )).
% 29.00/29.23 cnf(matrix-3390, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5155), 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, _u5155))) )).
% 29.00/29.23 cnf(matrix-3391, plain, ( ~class_Rings_Osemiring__1(_u5156) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5156), c_Groups_Oone__class_Oone(_u5156)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5156)) )).
% 29.00/29.23 cnf(matrix-3392, plain, ( ~class_Rings_Oring__1(_u5157) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5157), hAPP(c_Groups_Ouminus__class_Ouminus(_u5157), _u5158)), 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(_u5157), _u5158), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3393, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5159), 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), _u5159), _u5159)) )).
% 29.00/29.23 cnf(matrix-3394, 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)))), _u5160) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5160), _u5160)) )).
% 29.00/29.23 cnf(matrix-3395, plain, ( ~class_Groups_Omonoid__mult(_u5161) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5161), _u5162), 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)))), _u5163)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5161), hAPP(hAPP(c_Power_Opower__class_Opower(_u5161), _u5162), _u5163)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3396, 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))))) )).
% 29.00/29.23 cnf(matrix-3397, 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))))) )).
% 29.00/29.23 cnf(matrix-3398, plain, ( ~class_Rings_Olinordered__idom(_u5164) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5164), hAPP(c_Groups_Oabs__class_Oabs(_u5164), _u5165)), 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(_u5164), _u5165), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3399, plain, ( ~class_Rings_Olinordered__idom(_u5166) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5166), hAPP(hAPP(c_Power_Opower__class_Opower(_u5166), _u5167), 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(_u5166), _u5167), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3400, 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)))) )).
% 29.00/29.23 cnf(matrix-3401, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5168)), 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, _u5168, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 29.00/29.23 cnf(matrix-3402, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5169))), 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), _u5169), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.23 cnf(matrix-3403, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5170)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5171))) = 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), _u5170), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5171)))) )).
% 29.00/29.23 cnf(matrix-3404, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5172), _u5172)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u5172) )).
% 29.00/29.23 cnf(matrix-3405, plain, ( ~class_Rings_Olinordered__idom(_u5173) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5173), c_Groups_Ozero__class_Ozero(_u5173)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5173), _u5174), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.23 cnf(matrix-3406, plain, ( ~class_Rings_Olinordered__semidom(_u5175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5175), hAPP(hAPP(c_Power_Opower__class_Opower(_u5175), _u5176), 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(_u5175), _u5177), 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(_u5175), c_Groups_Ozero__class_Ozero(_u5175)), _u5177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5175), _u5176), _u5177)) )).
% 29.00/29.23 cnf(matrix-3407, plain, ( ~class_Rings_Olinordered__semidom(_u5178) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5178), _u5179), 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(_u5178), _u5180), 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(_u5178), c_Groups_Ozero__class_Ozero(_u5178)), _u5179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5178), c_Groups_Ozero__class_Ozero(_u5178)), _u5180)) | ( _u5179 = _u5180) )).
% 29.00/29.23 cnf(matrix-3408, plain, ( ~class_Rings_Olinordered__idom(_u5181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5181), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u5182 != c_Groups_Ozero__class_Ozero(_u5181)) )).
% 29.00/29.23 cnf(matrix-3409, plain, ( ~class_Rings_Olinordered__idom(_u5181) | ( _u5182 = c_Groups_Ozero__class_Ozero(_u5181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5181), c_Groups_Ozero__class_Ozero(_u5181)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5181), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.23 cnf(matrix-3410, plain, ( ~class_Rings_Olinordered__idom(_u5183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5183), hAPP(hAPP(c_Power_Opower__class_Opower(_u5183), _u5184), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u5183))) )).
% 29.00/29.23 cnf(matrix-3411, plain, ( ~class_Rings_Olinordered__idom(_u5185) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5185), hAPP(hAPP(c_Power_Opower__class_Opower(_u5185), _u5186), 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(_u5185), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5185)) | ( _u5186 = c_Groups_Ozero__class_Ozero(_u5185)) )).
% 29.00/29.23 cnf(matrix-3412, plain, ( ~class_Rings_Olinordered__idom(_u5185) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5185), hAPP(hAPP(c_Power_Opower__class_Opower(_u5185), _u5186), 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(_u5185), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u5185)) | ( _u5187 = c_Groups_Ozero__class_Ozero(_u5185)) )).
% 29.00/29.23 cnf(matrix-3413, plain, ( ~class_Rings_Olinordered__idom(_u5185) | ( _u5186 != c_Groups_Ozero__class_Ozero(_u5185)) | ( _u5187 != c_Groups_Ozero__class_Ozero(_u5185)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5185), hAPP(hAPP(c_Power_Opower__class_Opower(_u5185), _u5186), 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(_u5185), _u5187), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u5185)) )).
% 29.00/29.23 cnf(matrix-3414, plain, ( ~class_Groups_Omonoid__mult(_u5188) | ~class_Int_Onumber(_u5188) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5188), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189)), 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(_u5188), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189)), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189))) )).
% 29.00/29.23 cnf(matrix-3415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5190), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u5190 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5190 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.23 cnf(matrix-3416, 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)))) )).
% 29.00/29.23 cnf(matrix-3417, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), _u5192), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u5191)) | ( _u5192 = c_Groups_Oone__class_Oone(_u5191)) | ( _u5192 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5191), c_Groups_Oone__class_Oone(_u5191))) )).
% 29.00/29.23 cnf(matrix-3418, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), _u5192), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5191)) | ( _u5192 != c_Groups_Oone__class_Oone(_u5191)) )).
% 29.00/29.23 cnf(matrix-3419, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5191), _u5192), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u5191)) | ( _u5192 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5191), c_Groups_Oone__class_Oone(_u5191))) )).
% 29.00/29.23 cnf(matrix-3420, plain, ( ~class_Rings_Ocomm__semiring__1(_u5193) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5193), _u5194), 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)))), _u5195)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5193), hAPP(hAPP(c_Power_Opower__class_Opower(_u5193), _u5194), _u5195)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5193), _u5194), _u5195))) )).
% 29.00/29.23 cnf(matrix-3421, plain, ( ~class_Rings_Oring__1(_u5196) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5196), hAPP(c_Groups_Ouminus__class_Ouminus(_u5196), _u5197)), 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)))), _u5198)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5196), _u5197), 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)))), _u5198))) )).
% 29.00/29.23 cnf(matrix-3422, plain, ( ~class_Rings_Olinordered__semidom(_u5199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5199), hAPP(hAPP(c_Power_Opower__class_Opower(_u5199), _u5200), 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(_u5199), _u5201), 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(_u5199), c_Groups_Ozero__class_Ozero(_u5199)), _u5201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5199), _u5200), _u5201)) )).
% 29.00/29.23 cnf(matrix-3423, plain, ( ~class_Rings_Olinordered__idom(_u5202) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5202), c_Groups_Ozero__class_Ozero(_u5202)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5202), hAPP(hAPP(c_Power_Opower__class_Opower(_u5202), _u5203), 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(_u5202), _u5204), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 29.00/29.23 cnf(matrix-3424, plain, ( ~class_Rings_Olinordered__idom(_u5205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), hAPP(hAPP(c_Power_Opower__class_Opower(_u5205), _u5206), 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(_u5205), _u5207), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5205))) | ( _u5206 = c_Groups_Ozero__class_Ozero(_u5205)) )).
% 29.00/29.23 cnf(matrix-3425, plain, ( ~class_Rings_Olinordered__idom(_u5205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), hAPP(hAPP(c_Power_Opower__class_Opower(_u5205), _u5206), 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(_u5205), _u5207), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5205))) | ( _u5207 = c_Groups_Ozero__class_Ozero(_u5205)) )).
% 29.00/29.23 cnf(matrix-3426, plain, ( ~class_Rings_Olinordered__idom(_u5205) | ( _u5206 != c_Groups_Ozero__class_Ozero(_u5205)) | ( _u5207 != c_Groups_Ozero__class_Ozero(_u5205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5205), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5205), hAPP(hAPP(c_Power_Opower__class_Opower(_u5205), _u5206), 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(_u5205), _u5207), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5205))) )).
% 29.00/29.23 cnf(matrix-3427, plain, ( ~class_Rings_Olinordered__idom(_u5208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5208), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5208), hAPP(hAPP(c_Power_Opower__class_Opower(_u5208), _u5209), 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(_u5208), _u5210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u5208))) )).
% 29.00/29.23 cnf(matrix-3428, plain, ( ~class_Rings_Olinordered__idom(_u5211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5211), c_Groups_Ozero__class_Ozero(_u5211)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5211), hAPP(hAPP(c_Power_Opower__class_Opower(_u5211), _u5212), 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(_u5211), _u5213), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5212 != c_Groups_Ozero__class_Ozero(_u5211)) | ( _u5213 != c_Groups_Ozero__class_Ozero(_u5211)) )).
% 29.00/29.23 cnf(matrix-3429, plain, ( ~class_Rings_Olinordered__idom(_u5211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5211), c_Groups_Ozero__class_Ozero(_u5211)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5211), hAPP(hAPP(c_Power_Opower__class_Opower(_u5211), _u5212), 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(_u5211), _u5213), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5212 = c_Groups_Ozero__class_Ozero(_u5211)) )).
% 29.00/29.23 cnf(matrix-3430, plain, ( ~class_Rings_Olinordered__idom(_u5211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5211), c_Groups_Ozero__class_Ozero(_u5211)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5211), hAPP(hAPP(c_Power_Opower__class_Opower(_u5211), _u5212), 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(_u5211), _u5213), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u5213 = c_Groups_Ozero__class_Ozero(_u5211)) )).
% 29.00/29.23 cnf(matrix-3431, plain, ( ~class_Int_Onumber__ring(_u5214) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5214), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5214), _u5215), _u5216)), 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(_u5214), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5214), hAPP(hAPP(c_Power_Opower__class_Opower(_u5214), _u5215), 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(_u5214), _u5216), 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(_u5214), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5214), hAPP(c_Int_Onumber__class_Onumber__of(_u5214), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5215)), _u5216))) )).
% 29.00/29.23 cnf(matrix-3432, plain, ( ~class_Rings_Olinordered__idom(_u5217) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5217), c_Groups_Ozero__class_Ozero(_u5217)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5217), _u5218), 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)))), _u5219)))) )).
% 29.00/29.23 cnf(matrix-3433, plain, ( ~class_Rings_Ocomm__semiring__1(_u5220) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5220), _u5221), 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)))), _u5222))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5220), _u5221), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5220), hAPP(hAPP(c_Power_Opower__class_Opower(_u5220), _u5221), _u5222)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5220), _u5221), _u5222)))) )).
% 29.00/29.23 cnf(matrix-3434, plain, ( ~class_Groups_Omonoid__mult(_u5223) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5223), _u5224), 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)))), _u5225))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5223), _u5224), hAPP(hAPP(c_Power_Opower__class_Opower(_u5223), hAPP(hAPP(c_Power_Opower__class_Opower(_u5223), _u5224), _u5225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.23 cnf(matrix-3435, plain, ( ~class_Rings_Oring__1(_u5226) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5226), hAPP(c_Groups_Ouminus__class_Ouminus(_u5226), c_Groups_Oone__class_Oone(_u5226))), 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)))), _u5227)) = c_Groups_Oone__class_Oone(_u5226)) )).
% 29.00/29.23 cnf(matrix-3436, 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), _u5230))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5232))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5230))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5232)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5230))) )).
% 29.00/29.23 cnf(matrix-3437, 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), _u5231))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5233))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5231))) = 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), _u5233)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5231))) )).
% 29.00/29.23 cnf(matrix-3438, 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, _u5235, 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, _u5235, 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)) )).
% 29.00/29.23 cnf(matrix-3439, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5236, 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, _u5236, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.23 cnf(matrix-3440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5237)) | 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), _u5237), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.23 cnf(matrix-3441, plain, ( ~class_Int_Onumber__ring(_u5238) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5238), _u5239), _u5240)), 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(_u5238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5238), hAPP(hAPP(c_Power_Opower__class_Opower(_u5238), _u5239), 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(_u5238), _u5240), 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(_u5238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5238), hAPP(c_Int_Onumber__class_Onumber__of(_u5238), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5239)), _u5240))) )).
% 29.00/29.23 cnf(matrix-3442, plain, ( ~class_Rings_Olinordered__idom(_u5241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5241), c_Groups_Ozero__class_Ozero(_u5241)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5241), _u5242), 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)))), _u5243))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5241), c_Groups_Ozero__class_Ozero(_u5241)), _u5242)) )).
% 29.00/29.23 cnf(matrix-3443, plain, ( ~class_Rings_Olinordered__idom(_u5244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5244), _u5245), c_Groups_Ozero__class_Ozero(_u5244))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5244), hAPP(hAPP(c_Power_Opower__class_Opower(_u5244), _u5245), 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)))), _u5246)))), c_Groups_Ozero__class_Ozero(_u5244))) )).
% 29.00/29.23 cnf(matrix-3444, plain, ( ~class_Rings_Oring__1(_u5247) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5247), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), c_Groups_Oone__class_Oone(_u5247))), 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)))), _u5248))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), c_Groups_Oone__class_Oone(_u5247))) )).
% 29.00/29.23 cnf(matrix-3445, plain, ( ~class_Int_Onumber__ring(_u5249) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5249), hAPP(c_Int_Onumber__class_Onumber__of(_u5249), 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)))), _u5250)) = c_Groups_Oone__class_Oone(_u5249)) )).
% 29.00/29.23 cnf(matrix-3446, plain, ( ~class_Int_Onumber__ring(_u5251) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5251), hAPP(c_Int_Onumber__class_Onumber__of(_u5251), 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)))), _u5252))) = hAPP(c_Int_Onumber__class_Onumber__of(_u5251), c_Int_OMin)) )).
% 29.00/29.23 cnf(matrix-3447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5253)) | 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), _u5253), 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)))))) )).
% 29.00/29.23 cnf(matrix-3448, plain, ( ( _u5255 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u5255) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-3449, plain, ( ( _u5256 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5256, 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, _u5256) = 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), _u5256), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 29.00/29.23 cnf(matrix-3450, plain, ( ( _u5256 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5256, 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, _u5256) = 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), _u5256), 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))) )).
% 29.00/29.23 cnf(matrix-3451, 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))) )).
% 29.00/29.23 cnf(matrix-3452, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5257) | ~class_Int_Onumber__ring(_u5257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5257), c_Groups_Ozero__class_Ozero(_u5257)), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5257), c_Groups_Ozero__class_Ozero(_u5257)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5257), _u5258), hAPP(c_Int_Onumber__class_Onumber__of(_u5257), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.23 cnf(matrix-3453, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~class_Int_Onumber__ring(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), hAPP(c_Int_Onumber__class_Onumber__of(_u5259), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5260)) )).
% 29.00/29.23 cnf(matrix-3454, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5259) | ~class_Int_Onumber__ring(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), _u5260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5259), c_Groups_Ozero__class_Ozero(_u5259)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5260), hAPP(c_Int_Onumber__class_Onumber__of(_u5259), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.23 cnf(matrix-3455, 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)))) )).
% 29.00/29.23 cnf(matrix-3456, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem84(_u5266, _u5265, _u5264, _u5263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem85(_u5266, _u5265, _u5264, _u5263))) )).
% 29.00/29.23 cnf(matrix-3457, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem84(_u5266, _u5265, _u5264, _u5263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5266, _u5265, _u5264, _u5263)), _u5264)) )).
% 29.00/29.23 cnf(matrix-3458, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem84(_u5266, _u5265, _u5264, _u5263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | ( hAPP(_u5265, skolem85(_u5266, _u5265, _u5264, _u5263)) = _u5266) )).
% 29.00/29.23 cnf(matrix-3459, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem85(_u5266, _u5265, _u5264, _u5263))) )).
% 29.00/29.23 cnf(matrix-3460, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5266, _u5265, _u5264, _u5263)), _u5264)) )).
% 29.00/29.23 cnf(matrix-3461, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | ( hAPP(_u5265, skolem85(_u5266, _u5265, _u5264, _u5263)) = _u5266) )).
% 29.00/29.23 cnf(matrix-3462, 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(_u5265, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5265, skolem84(_u5266, _u5265, _u5264, _u5263))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5263), skolem85(_u5266, _u5265, _u5264, _u5263))) )).
% 29.00/29.23 cnf(matrix-3463, 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(_u5265, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5265, skolem84(_u5266, _u5265, _u5264, _u5263))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem85(_u5266, _u5265, _u5264, _u5263)), _u5264)) )).
% 29.00/29.23 cnf(matrix-3464, 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(_u5265, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem84(_u5266, _u5265, _u5264, _u5263)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u5265, skolem84(_u5266, _u5265, _u5264, _u5263))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5263), _u5264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u5265, _u5263)), _u5266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5266), hAPP(_u5265, _u5264))) | ( hAPP(_u5265, skolem85(_u5266, _u5265, _u5264, _u5263)) = _u5266) )).
% 29.00/29.23 cnf(matrix-3465, 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)) )).
% 29.00/29.23 cnf(matrix-3466, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5267) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5267), _u5268), c_Groups_Ozero__class_Ozero(_u5267)) = c_Groups_Ozero__class_Ozero(_u5267)) )).
% 29.00/29.23 cnf(matrix-3467, plain, ( ~class_Rings_Odivision__ring(_u5269) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5269), c_Groups_Ozero__class_Ozero(_u5269)), _u5270) = c_Groups_Ozero__class_Ozero(_u5269)) )).
% 29.00/29.23 cnf(matrix-3468, plain, ( ~class_Rings_Odivision__ring(_u5271) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5271), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5271), _u5272), _u5273)), _u5274) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5271), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5271), _u5272), _u5274)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5271), _u5273), _u5274))) )).
% 29.00/29.23 cnf(matrix-3469, plain, ( ~class_Fields_Ofield__inverse__zero(_u5275) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), _u5276), _u5277)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), _u5278), _u5279)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5276), _u5278)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5275), _u5277), _u5279))) )).
% 29.00/29.23 cnf(matrix-3470, plain, ( ~class_Rings_Odivision__ring(_u5280) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5280), _u5281), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5280), _u5282), _u5283)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5280), _u5281), _u5282)), _u5283)) )).
% 29.00/29.23 cnf(matrix-3471, plain, ( ~class_Rings_Odivision__ring(_u5284) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5284), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5284), _u5285), _u5286)), _u5287) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5284), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5284), _u5285), _u5287)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5284), _u5286), _u5287))) )).
% 29.00/29.23 cnf(matrix-3472, plain, ( ~class_Rings_Odivision__ring(_u5288) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5288), _u5289), c_Groups_Oone__class_Oone(_u5288)) = _u5289) )).
% 29.00/29.23 cnf(matrix-3473, plain, ( ~class_Fields_Ofield__inverse__zero(_u5290) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5290), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5290), _u5291), _u5292)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5290), _u5291), hAPP(c_Groups_Ouminus__class_Ouminus(_u5290), _u5292))) )).
% 29.00/29.23 cnf(matrix-3474, plain, ( ~class_Fields_Ofield__inverse__zero(_u5293) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5293), hAPP(c_Groups_Ouminus__class_Ouminus(_u5293), _u5294)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5293), _u5295)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5293), _u5294), _u5295)) )).
% 29.00/29.23 cnf(matrix-3475, plain, ( ~class_Rings_Odivision__ring(_u5296) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5296), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5296), _u5297), _u5298)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5296), hAPP(c_Groups_Ouminus__class_Ouminus(_u5296), _u5297)), _u5298)) )).
% 29.00/29.23 cnf(matrix-3476, plain, ( ~class_Fields_Ofield__inverse__zero(_u5299) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5299), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), _u5300), _u5301)), _u5302) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5299), hAPP(hAPP(c_Power_Opower__class_Opower(_u5299), _u5300), _u5302)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5299), _u5301), _u5302))) )).
% 29.00/29.23 cnf(matrix-3477, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5303) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), _u5304), _u5305)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5303), hAPP(c_Groups_Oabs__class_Oabs(_u5303), _u5304)), hAPP(c_Groups_Oabs__class_Oabs(_u5303), _u5305))) )).
% 29.00/29.23 cnf(matrix-3478, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-3479, plain, ( ~c_Nat__Transfer_Ois__nat(_u5306) | ~c_Nat__Transfer_Ois__nat(_u5307) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5306), _u5307)) )).
% 29.00/29.23 cnf(matrix-3480, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5308)) )).
% 29.00/29.23 cnf(matrix-3481, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.23 cnf(matrix-3482, plain, ( ~c_Nat__Transfer_Ois__nat(_u5309) | ~c_Nat__Transfer_Ois__nat(_u5310) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5309), _u5310)) )).
% 29.00/29.23 cnf(matrix-3483, plain, ( ~c_Nat__Transfer_Ois__nat(_u5311) | ~c_Nat__Transfer_Ois__nat(_u5312) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5311, _u5312)) )).
% 29.00/29.23 cnf(matrix-3484, plain, ( ~c_Nat__Transfer_Ois__nat(_u5313) | ~c_Nat__Transfer_Ois__nat(_u5314) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5313), _u5314)) )).
% 29.00/29.23 cnf(matrix-3485, plain, ( ~c_Nat__Transfer_Ois__nat(_u5315) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5315), _u5316)) )).
% 29.00/29.23 cnf(matrix-3486, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 29.00/29.23 cnf(matrix-3487, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 29.00/29.23 cnf(matrix-3488, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 29.00/29.23 cnf(matrix-3489, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 29.00/29.23 cnf(matrix-3490, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), _u5319)) )).
% 29.00/29.23 cnf(matrix-3491, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), c_Groups_Ozero__class_Ozero(_u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5317), _u5318), _u5319))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5318), c_Groups_Ozero__class_Ozero(_u5317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5317), _u5319), c_Groups_Ozero__class_Ozero(_u5317))) )).
% 29.00/29.23 cnf(matrix-3492, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5321), c_Groups_Ozero__class_Ozero(_u5320))) )).
% 29.00/29.23 cnf(matrix-3493, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5322)) )).
% 29.00/29.23 cnf(matrix-3494, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5322), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5321), c_Groups_Ozero__class_Ozero(_u5320))) )).
% 29.00/29.23 cnf(matrix-3495, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5322), c_Groups_Ozero__class_Ozero(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5322)) )).
% 29.00/29.23 cnf(matrix-3496, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5322), c_Groups_Ozero__class_Ozero(_u5320))) )).
% 29.00/29.23 cnf(matrix-3497, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5321), _u5322)), c_Groups_Ozero__class_Ozero(_u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5321), c_Groups_Ozero__class_Ozero(_u5320))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5322)) )).
% 29.00/29.23 cnf(matrix-3498, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5323), _u5324), _u5325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5323), c_Groups_Ozero__class_Ozero(_u5323)), _u5326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5323), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5323), _u5324), _u5326)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5323), _u5325), _u5326))) )).
% 29.00/29.23 cnf(matrix-3499, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5327), _u5328), _u5329)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5327), _u5330), c_Groups_Ozero__class_Ozero(_u5327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5327), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5327), _u5329), _u5330)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5327), _u5328), _u5330))) )).
% 29.00/29.23 cnf(matrix-3500, plain, ( ~class_Fields_Olinordered__field(_u5331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5331), _u5332), _u5333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5331), _u5334), c_Groups_Ozero__class_Ozero(_u5331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5331), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5331), _u5333), _u5334)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5331), _u5332), _u5334))) )).
% 29.00/29.23 cnf(matrix-3501, plain, ( ~class_Fields_Olinordered__field(_u5335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5335), _u5336), _u5337)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5335), c_Groups_Ozero__class_Ozero(_u5335)), _u5338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5335), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5335), _u5336), _u5338)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5335), _u5337), _u5338))) )).
% 29.00/29.23 cnf(matrix-3502, plain, ( ~class_Fields_Olinordered__field(_u5339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5339), _u5340), c_Groups_Ozero__class_Ozero(_u5339))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5339), _u5341), c_Groups_Ozero__class_Ozero(_u5339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5339), c_Groups_Ozero__class_Ozero(_u5339)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5339), _u5340), _u5341))) )).
% 29.00/29.23 cnf(matrix-3503, plain, ( ~class_Fields_Olinordered__field(_u5342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5342), _u5343), c_Groups_Ozero__class_Ozero(_u5342))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5342), c_Groups_Ozero__class_Ozero(_u5342)), _u5344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5342), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5342), _u5343), _u5344)), c_Groups_Ozero__class_Ozero(_u5342))) )).
% 29.00/29.23 cnf(matrix-3504, plain, ( ~class_Fields_Olinordered__field(_u5345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5345), c_Groups_Ozero__class_Ozero(_u5345)), _u5346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5345), _u5347), c_Groups_Ozero__class_Ozero(_u5345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5345), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5345), _u5346), _u5347)), c_Groups_Ozero__class_Ozero(_u5345))) )).
% 29.00/29.23 cnf(matrix-3505, plain, ( ~class_Fields_Olinordered__field(_u5348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5348), c_Groups_Ozero__class_Ozero(_u5348)), _u5349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5348), c_Groups_Ozero__class_Ozero(_u5348)), _u5350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5348), c_Groups_Ozero__class_Ozero(_u5348)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5348), _u5349), _u5350))) )).
% 29.00/29.23 cnf(matrix-3506, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5352), c_Groups_Ozero__class_Ozero(_u5351))) )).
% 29.00/29.23 cnf(matrix-3507, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5353)) )).
% 29.00/29.23 cnf(matrix-3508, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5353), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5352), c_Groups_Ozero__class_Ozero(_u5351))) )).
% 29.00/29.23 cnf(matrix-3509, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5353), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5353)) )).
% 29.00/29.23 cnf(matrix-3510, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5353), c_Groups_Ozero__class_Ozero(_u5351))) )).
% 29.00/29.23 cnf(matrix-3511, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5353)), c_Groups_Ozero__class_Ozero(_u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), _u5352), c_Groups_Ozero__class_Ozero(_u5351))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5351), c_Groups_Ozero__class_Ozero(_u5351)), _u5353)) )).
% 29.00/29.23 cnf(matrix-3512, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5355), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 29.00/29.23 cnf(matrix-3513, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5356), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 29.00/29.23 cnf(matrix-3514, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5355), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 29.00/29.23 cnf(matrix-3515, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5356), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 29.00/29.23 cnf(matrix-3516, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), _u5356)) )).
% 29.00/29.23 cnf(matrix-3517, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5354) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), c_Groups_Ozero__class_Ozero(_u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5354), _u5355), _u5356))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5355), c_Groups_Ozero__class_Ozero(_u5354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5354), _u5356), c_Groups_Ozero__class_Ozero(_u5354))) )).
% 29.00/29.23 cnf(matrix-3518, plain, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( _u5360 = c_Groups_Ozero__class_Ozero(_u5357)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5357), _u5358), _u5360) = _u5359) )).
% 29.00/29.23 cnf(matrix-3519, plain, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( _u5360 != c_Groups_Ozero__class_Ozero(_u5357)) | ( _u5358 = c_Groups_Ozero__class_Ozero(_u5357)) )).
% 29.00/29.23 cnf(matrix-3520, plain, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( _u5360 != c_Groups_Ozero__class_Ozero(_u5357)) | ( _u5358 != c_Groups_Ozero__class_Ozero(_u5357)) )).
% 29.00/29.23 cnf(matrix-3521, plain, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5357), _u5358), _u5360) != _u5359) | ( _u5360 = c_Groups_Ozero__class_Ozero(_u5357)) )).
% 29.00/29.23 cnf(matrix-3522, plain, ( ~class_Fields_Ofield__inverse__zero(_u5357) | ( _u5358 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5357), _u5359), _u5360)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5357), _u5358), _u5360) != _u5359) | ( _u5358 != c_Groups_Ozero__class_Ozero(_u5357)) )).
% 29.00/29.23 cnf(matrix-3523, plain, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) != _u5364) | ( _u5363 = c_Groups_Ozero__class_Ozero(_u5361)) | ( _u5362 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5361), _u5364), _u5363)) )).
% 29.00/29.23 cnf(matrix-3524, plain, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) != _u5364) | ( _u5363 != c_Groups_Ozero__class_Ozero(_u5361)) | ( _u5364 = c_Groups_Ozero__class_Ozero(_u5361)) )).
% 29.00/29.23 cnf(matrix-3525, plain, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) = _u5364) | ( _u5363 != c_Groups_Ozero__class_Ozero(_u5361)) | ( _u5364 != c_Groups_Ozero__class_Ozero(_u5361)) )).
% 29.00/29.23 cnf(matrix-3526, plain, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) = _u5364) | ( _u5362 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5361), _u5364), _u5363)) | ( _u5363 = c_Groups_Ozero__class_Ozero(_u5361)) )).
% 29.00/29.23 cnf(matrix-3527, plain, ( ~class_Fields_Ofield__inverse__zero(_u5361) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5361), _u5362), _u5363) = _u5364) | ( _u5362 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5361), _u5364), _u5363)) | ( _u5364 != c_Groups_Ozero__class_Ozero(_u5361)) )).
% 29.00/29.23 cnf(matrix-3528, plain, ( ~class_Fields_Ofield__inverse__zero(_u5365) | ( _u5366 = c_Groups_Ozero__class_Ozero(_u5365)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5365), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5365), _u5367), _u5366)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5365), _u5368), _u5366)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5365), _u5367), _u5368)) )).
% 29.00/29.23 cnf(matrix-3529, plain, ( ~class_Fields_Ofield__inverse__zero(_u5369) | ( _u5370 = c_Groups_Ozero__class_Ozero(_u5369)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5369), _u5370), _u5371)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5369), _u5370), _u5372)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5369), _u5371), _u5372)) )).
% 29.00/29.23 cnf(matrix-3530, plain, ( ~class_Fields_Ofield(_u5373) | ( _u5374 = c_Groups_Ozero__class_Ozero(_u5373)) | ( _u5375 = c_Groups_Ozero__class_Ozero(_u5373)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5376), _u5374) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5377), _u5375)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5376), _u5375) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5377), _u5374)) )).
% 29.00/29.23 cnf(matrix-3531, plain, ( ~class_Fields_Ofield(_u5373) | ( _u5374 = c_Groups_Ozero__class_Ozero(_u5373)) | ( _u5375 = c_Groups_Ozero__class_Ozero(_u5373)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5376), _u5375) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5373), _u5377), _u5374)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5376), _u5374) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5377), _u5375)) )).
% 29.00/29.23 cnf(matrix-3532, plain, ( ~class_Rings_Odivision__ring(_u5378) | ( _u5379 = c_Groups_Ozero__class_Ozero(_u5378)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5378), _u5380), _u5379) != _u5381) | ( _u5380 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5378), _u5381), _u5379)) )).
% 29.00/29.23 cnf(matrix-3533, plain, ( ~class_Rings_Odivision__ring(_u5382) | ( _u5383 = c_Groups_Ozero__class_Ozero(_u5382)) | ( _u5384 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5382), _u5385), _u5383)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5382), _u5384), _u5383) = _u5385) )).
% 29.00/29.23 cnf(matrix-3534, plain, ( ~class_Rings_Odivision__ring(_u5386) | ( _u5387 = c_Groups_Ozero__class_Ozero(_u5386)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5386), _u5388), _u5387) != _u5389) | ( _u5388 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5386), _u5389), _u5387)) )).
% 29.00/29.23 cnf(matrix-3535, plain, ( ~class_Rings_Odivision__ring(_u5386) | ( _u5387 = c_Groups_Ozero__class_Ozero(_u5386)) | ( _u5388 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5386), _u5389), _u5387)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5386), _u5388), _u5387) = _u5389) )).
% 29.00/29.23 cnf(matrix-3536, plain, ( ~class_Rings_Odivision__ring(_u5390) | ( _u5391 = c_Groups_Ozero__class_Ozero(_u5390)) | ( _u5392 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5390), _u5393), _u5391)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5390), _u5392), _u5391) = _u5393) )).
% 29.00/29.23 cnf(matrix-3537, plain, ( ~class_Rings_Odivision__ring(_u5390) | ( _u5391 = c_Groups_Ozero__class_Ozero(_u5390)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5390), _u5392), _u5391) != _u5393) | ( _u5392 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5390), _u5393), _u5391)) )).
% 29.00/29.23 cnf(matrix-3538, plain, ( ~class_Rings_Odivision__ring(_u5394) | ( _u5395 = c_Groups_Ozero__class_Ozero(_u5394)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5396), _u5395) != c_Groups_Oone__class_Oone(_u5394)) | ( _u5396 = _u5395) )).
% 29.00/29.23 cnf(matrix-3539, plain, ( ~class_Rings_Odivision__ring(_u5394) | ( _u5395 = c_Groups_Ozero__class_Ozero(_u5394)) | ( _u5396 != _u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5394), _u5396), _u5395) = c_Groups_Oone__class_Oone(_u5394)) )).
% 29.00/29.23 cnf(matrix-3540, plain, ( ~class_Rings_Odivision__ring(_u5397) | ( _u5398 = c_Groups_Ozero__class_Ozero(_u5397)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5397), _u5398), _u5398) = c_Groups_Oone__class_Oone(_u5397)) )).
% 29.00/29.23 cnf(matrix-3541, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5399) | ( _u5400 != c_Groups_Ozero__class_Ozero(_u5399)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5400), _u5400) = c_Groups_Ozero__class_Ozero(_u5399)) )).
% 29.00/29.23 cnf(matrix-3542, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5399) | ( _u5400 = c_Groups_Ozero__class_Ozero(_u5399)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5400), _u5400) = c_Groups_Oone__class_Oone(_u5399)) )).
% 29.00/29.23 cnf(matrix-3543, plain, ( ~class_Rings_Odivision__ring(_u5401) | ( _u5402 = c_Groups_Ozero__class_Ozero(_u5401)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5401), hAPP(c_Groups_Ouminus__class_Ouminus(_u5401), _u5403)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5401), _u5402)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5401), _u5403), _u5402)) )).
% 29.00/29.23 cnf(matrix-3544, plain, ( ~class_Rings_Odivision__ring(_u5404) | ( _u5405 = c_Groups_Ozero__class_Ozero(_u5404)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5404), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5404), _u5406), _u5405)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5404), _u5406), hAPP(c_Groups_Ouminus__class_Ouminus(_u5404), _u5405))) )).
% 29.00/29.23 cnf(matrix-3545, plain, ( ~class_Fields_Ofield(_u5407) | ( _u5408 = c_Groups_Ozero__class_Ozero(_u5407)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5407), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5409), _u5408)), _u5410) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), hAPP(hAPP(c_Power_Opower__class_Opower(_u5407), _u5409), _u5410)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5407), _u5408), _u5410))) )).
% 29.00/29.23 cnf(matrix-3546, plain, ( ~class_Fields_Olinordered__field(_u5411) | ( _u5412 = c_Groups_Ozero__class_Ozero(_u5411)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5411), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5411), _u5413), _u5412)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5411), hAPP(c_Groups_Oabs__class_Oabs(_u5411), _u5413)), hAPP(c_Groups_Oabs__class_Oabs(_u5411), _u5412))) )).
% 29.00/29.23 cnf(matrix-3547, plain, ( ~class_Fields_Ofield__inverse__zero(_u5414) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5414), c_Groups_Oone__class_Oone(_u5414)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5414), _u5415), _u5416)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5414), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5414), c_Groups_Oone__class_Oone(_u5414)), _u5415)), _u5416)) )).
% 29.00/29.23 cnf(matrix-3548, plain, ( ~c_Nat__Transfer_Ois__nat(_u5417) | ~c_Nat__Transfer_Ois__nat(_u5418) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5417, _u5418)) )).
% 29.00/29.23 cnf(matrix-3549, plain, ( ~class_Fields_Olinordered__field(_u5419) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5419), _u5420), c_Groups_Ozero__class_Ozero(_u5419))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5419), _u5421), c_Groups_Ozero__class_Ozero(_u5419))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5419), c_Groups_Ozero__class_Ozero(_u5419)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5419), _u5420), _u5421))) )).
% 29.00/29.23 cnf(matrix-3550, plain, ( ~class_Fields_Olinordered__field(_u5422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5422), _u5423), c_Groups_Ozero__class_Ozero(_u5422))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5422), c_Groups_Ozero__class_Ozero(_u5422)), _u5424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5422), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5422), _u5423), _u5424)), c_Groups_Ozero__class_Ozero(_u5422))) )).
% 29.00/29.23 cnf(matrix-3551, plain, ( ~class_Fields_Olinordered__field(_u5425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), c_Groups_Ozero__class_Ozero(_u5425)), _u5426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), _u5426), _u5427)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), c_Groups_Ozero__class_Ozero(_u5425)), _u5428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), _u5428), _u5429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5425), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5426), _u5429)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5425), _u5427), _u5428))) )).
% 29.00/29.23 cnf(matrix-3552, plain, ( ~class_Fields_Olinordered__field(_u5430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5430), c_Groups_Ozero__class_Ozero(_u5430)), _u5431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), _u5431), _u5432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), c_Groups_Ozero__class_Ozero(_u5430)), _u5433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5430), _u5433), _u5434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5430), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5430), _u5431), _u5434)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5430), _u5432), _u5433))) )).
% 29.00/29.23 cnf(matrix-3553, plain, ( ~class_Fields_Olinordered__field(_u5435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), c_Groups_Ozero__class_Ozero(_u5435)), _u5436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), _u5436), _u5437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), c_Groups_Ozero__class_Ozero(_u5435)), _u5438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), _u5438), _u5439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5435), _u5436), _u5439)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5435), _u5437), _u5438))) )).
% 29.00/29.23 cnf(matrix-3554, plain, ( ~class_Fields_Olinordered__field(_u5440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5440), c_Groups_Ozero__class_Ozero(_u5440)), _u5441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5440), _u5442), c_Groups_Ozero__class_Ozero(_u5440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5440), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5440), _u5441), _u5442)), c_Groups_Ozero__class_Ozero(_u5440))) )).
% 29.00/29.23 cnf(matrix-3555, plain, ( ~class_Fields_Olinordered__field(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), _u5444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), _u5445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), _u5444), _u5445))) )).
% 29.00/29.23 cnf(matrix-3556, plain, ( ~class_Fields_Olinordered__field(_u5446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), _u5447), _u5448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), _u5449), c_Groups_Ozero__class_Ozero(_u5446))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), c_Groups_Ozero__class_Ozero(_u5446)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5446), _u5447), _u5448))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5446), _u5449), _u5447)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5446), _u5449), _u5448))) )).
% 29.00/29.23 cnf(matrix-3557, plain, ( ~class_Fields_Olinordered__field(_u5450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), _u5451), _u5452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), c_Groups_Ozero__class_Ozero(_u5450)), _u5453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), c_Groups_Ozero__class_Ozero(_u5450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5450), _u5452), _u5451))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5450), _u5453), _u5452)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5450), _u5453), _u5451))) )).
% 29.00/29.23 cnf(matrix-3558, plain, ( ~class_Fields_Olinordered__field(_u5454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), _u5455), c_Groups_Ozero__class_Ozero(_u5454))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5454), _u5456), _u5455)), _u5457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5457), _u5455)), _u5456)) )).
% 29.00/29.23 cnf(matrix-3559, plain, ( ~class_Fields_Olinordered__field(_u5454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), _u5455), c_Groups_Ozero__class_Ozero(_u5454))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5457), _u5455)), _u5456)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5454), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5454), _u5456), _u5455)), _u5457)) )).
% 29.00/29.23 cnf(matrix-3560, plain, ( ~class_Fields_Olinordered__field(_u5458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5459), c_Groups_Ozero__class_Ozero(_u5458))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5460), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5458), _u5461), _u5459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5458), _u5460), _u5459))) )).
% 29.00/29.23 cnf(matrix-3561, plain, ( ~class_Fields_Olinordered__field(_u5458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5459), c_Groups_Ozero__class_Ozero(_u5458))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5458), _u5460), _u5459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5460), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5458), _u5461), _u5459))) )).
% 29.00/29.23 cnf(matrix-3562, plain, ( ~class_Fields_Olinordered__field(_u5462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5462), c_Groups_Ozero__class_Ozero(_u5462)), _u5463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5462), _u5464), _u5463)), _u5465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5462), _u5464), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5462), _u5465), _u5463))) )).
% 29.00/29.23 cnf(matrix-3563, plain, ( ~class_Fields_Olinordered__field(_u5466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5466), c_Groups_Ozero__class_Ozero(_u5466)), _u5467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5466), _u5468), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5466), _u5469), _u5467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5466), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5466), _u5468), _u5467)), _u5469)) )).
% 29.00/29.23 cnf(matrix-3564, plain, ( ~class_Fields_Olinordered__field(_u5470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), c_Groups_Ozero__class_Ozero(_u5470)), _u5471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5470), _u5472), _u5471)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5470), _u5473), _u5471))) )).
% 29.00/29.23 cnf(matrix-3565, plain, ( ~class_Fields_Olinordered__field(_u5470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), c_Groups_Ozero__class_Ozero(_u5470)), _u5471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5470), _u5473), _u5471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5470), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5470), _u5472), _u5471)), _u5473)) )).
% 29.00/29.23 cnf(matrix-3566, plain, ( ~class_Fields_Olinordered__field(_u5474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), c_Groups_Ozero__class_Ozero(_u5474)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5474), _u5477), _u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5474), _u5476), _u5475)), _u5477)) )).
% 29.00/29.23 cnf(matrix-3567, plain, ( ~class_Fields_Olinordered__field(_u5474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), c_Groups_Ozero__class_Ozero(_u5474)), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5474), _u5476), _u5475)), _u5477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5474), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5474), _u5477), _u5475))) )).
% 29.00/29.23 cnf(matrix-3568, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) )).
% 29.00/29.23 cnf(matrix-3569, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) )).
% 29.00/29.23 cnf(matrix-3570, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 29.00/29.23 cnf(matrix-3571, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 29.00/29.23 cnf(matrix-3572, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) )).
% 29.00/29.23 cnf(matrix-3573, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 29.00/29.23 cnf(matrix-3574, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5480)) )).
% 29.00/29.23 cnf(matrix-3575, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 29.00/29.23 cnf(matrix-3576, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5480), c_Groups_Ozero__class_Ozero(_u5478))) )).
% 29.00/29.23 cnf(matrix-3577, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5478), _u5479), _u5480)), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), _u5479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5478), _u5481), _u5480)), _u5479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5478), c_Groups_Ozero__class_Ozero(_u5478)), _u5481)) )).
% 29.00/29.23 cnf(matrix-3578, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) )).
% 29.00/29.23 cnf(matrix-3579, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) )).
% 29.00/29.23 cnf(matrix-3580, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 29.00/29.23 cnf(matrix-3581, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 29.00/29.23 cnf(matrix-3582, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 29.00/29.23 cnf(matrix-3583, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 29.00/29.23 cnf(matrix-3584, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), c_Groups_Ozero__class_Ozero(_u5482)), _u5485)) )).
% 29.00/29.23 cnf(matrix-3585, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 29.00/29.23 cnf(matrix-3586, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5485), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 29.00/29.23 cnf(matrix-3587, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5482), _u5484), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485)), _u5484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5482), _u5483), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5482), _u5483), c_Groups_Ozero__class_Ozero(_u5482))) )).
% 29.00/29.23 cnf(matrix-3588, plain, ( ~c_Nat__Transfer_Ois__nat(_u5487) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5487)) )).
% 29.00/29.23 cnf(matrix-3589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5488)) | c_Nat__Transfer_Ois__nat(_u5488) )).
% 29.00/29.23 cnf(matrix-3590, plain, ( ~class_Fields_Ofield(_u5489) | ( _u5490 = c_Groups_Ozero__class_Ozero(_u5489)) | ( _u5491 = c_Groups_Ozero__class_Ozero(_u5489)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), _u5492), _u5490)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), _u5493), _u5491)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5489), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5489), _u5492), _u5491)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5489), _u5493), _u5490))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5489), _u5490), _u5491))) )).
% 29.00/29.23 cnf(matrix-3591, plain, ( ~class_Fields_Ofield(_u5494) | ( _u5495 = c_Groups_Ozero__class_Ozero(_u5494)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5494), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5494), _u5496), _u5495)), _u5497) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5494), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5494), _u5496), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5494), _u5495), _u5497))), _u5495)) )).
% 29.00/29.23 cnf(matrix-3592, plain, ( ~class_Fields_Ofield__inverse__zero(_u5498) | ( _u5499 = c_Groups_Ozero__class_Ozero(_u5498)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5498), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5498), _u5500), _u5499)), _u5501) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5498), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5498), _u5500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5498), _u5501), _u5499))), _u5499)) )).
% 29.00/29.23 cnf(matrix-3593, plain, ( ~class_Fields_Ofield(_u5502) | ( _u5503 = c_Groups_Ozero__class_Ozero(_u5502)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5504), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5502), _u5505), _u5503)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5502), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5502), _u5503), _u5504)), _u5505)), _u5503)) )).
% 29.00/29.23 cnf(matrix-3594, plain, ( ~class_Fields_Ofield__inverse__zero(_u5506) | ( _u5507 = c_Groups_Ozero__class_Ozero(_u5506)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), _u5508), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5506), _u5509), _u5507)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5506), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5506), _u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5506), _u5508), _u5507))), _u5507)) )).
% 29.00/29.23 cnf(matrix-3595, plain, ( ~class_Fields_Ofield(_u5510) | ( _u5511 = c_Groups_Ozero__class_Ozero(_u5510)) | ( _u5512 = c_Groups_Ozero__class_Ozero(_u5510)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5510), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), _u5513), _u5511)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), _u5514), _u5512)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5510), _u5513), _u5512)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5510), _u5514), _u5511))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5510), _u5511), _u5512))) )).
% 29.00/29.23 cnf(matrix-3596, plain, ( ~class_Fields_Ofield(_u5515) | ( _u5516 = c_Groups_Ozero__class_Ozero(_u5515)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5515), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5515), _u5517), _u5516)), _u5518) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5515), _u5517), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5516), _u5518))), _u5516)) )).
% 29.00/29.23 cnf(matrix-3597, plain, ( ~class_Fields_Ofield(_u5519) | ( _u5520 = c_Groups_Ozero__class_Ozero(_u5519)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5519), _u5521), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5522), _u5520)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5521)), _u5522)), _u5520)) )).
% 29.00/29.23 cnf(matrix-3598, plain, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) != _u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525) = c_Groups_Ozero__class_Ozero(_u5523)) | ( _u5524 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525))) )).
% 29.00/29.23 cnf(matrix-3599, plain, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) != _u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525) != c_Groups_Ozero__class_Ozero(_u5523)) | ( _u5526 = c_Groups_Ozero__class_Ozero(_u5523)) )).
% 29.00/29.23 cnf(matrix-3600, plain, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) = _u5526) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525) != c_Groups_Ozero__class_Ozero(_u5523)) | ( _u5526 != c_Groups_Ozero__class_Ozero(_u5523)) )).
% 29.00/29.23 cnf(matrix-3601, plain, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) = _u5526) | ( _u5524 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525) = c_Groups_Ozero__class_Ozero(_u5523)) )).
% 29.00/29.23 cnf(matrix-3602, plain, ( ~class_Fields_Ofield__inverse__zero(_u5523) | ~class_Int_Onumber(_u5523) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525)) = _u5526) | ( _u5524 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), hAPP(c_Int_Onumber__class_Onumber__of(_u5523), _u5525))) | ( _u5526 != c_Groups_Ozero__class_Ozero(_u5523)) )).
% 29.00/29.23 cnf(matrix-3603, plain, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) != hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5529 = c_Groups_Ozero__class_Ozero(_u5527)) | ( _u5528 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)), _u5529)) )).
% 29.00/29.23 cnf(matrix-3604, plain, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) != hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5529 != c_Groups_Ozero__class_Ozero(_u5527)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530) = c_Groups_Ozero__class_Ozero(_u5527)) )).
% 29.00/29.24 cnf(matrix-3605, plain, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) = hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5529 != c_Groups_Ozero__class_Ozero(_u5527)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530) != c_Groups_Ozero__class_Ozero(_u5527)) )).
% 29.00/29.24 cnf(matrix-3606, plain, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) = hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5528 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)), _u5529)) | ( _u5529 = c_Groups_Ozero__class_Ozero(_u5527)) )).
% 29.00/29.24 cnf(matrix-3607, plain, ( ~class_Fields_Ofield__inverse__zero(_u5527) | ~class_Int_Onumber(_u5527) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5528), _u5529) = hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)) | ( _u5528 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530)), _u5529)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5527), _u5530) != c_Groups_Ozero__class_Ozero(_u5527)) )).
% 29.00/29.24 cnf(matrix-3608, plain, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( _u5534 = c_Groups_Ozero__class_Ozero(_u5531)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532)), _u5534) = _u5533) )).
% 29.00/29.24 cnf(matrix-3609, plain, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( _u5534 != c_Groups_Ozero__class_Ozero(_u5531)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) = c_Groups_Ozero__class_Ozero(_u5531)) )).
% 29.00/29.24 cnf(matrix-3610, plain, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( _u5534 != c_Groups_Ozero__class_Ozero(_u5531)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) != c_Groups_Ozero__class_Ozero(_u5531)) )).
% 29.00/29.24 cnf(matrix-3611, plain, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532)), _u5534) != _u5533) | ( _u5534 = c_Groups_Ozero__class_Ozero(_u5531)) )).
% 29.00/29.24 cnf(matrix-3612, plain, ( ~class_Fields_Ofield__inverse__zero(_u5531) | ~class_Int_Onumber(_u5531) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5534)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532)), _u5534) != _u5533) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5531), _u5532) != c_Groups_Ozero__class_Ozero(_u5531)) )).
% 29.00/29.24 cnf(matrix-3613, plain, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538) = c_Groups_Ozero__class_Ozero(_u5535)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538)) = _u5537) )).
% 29.00/29.24 cnf(matrix-3614, plain, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538) != c_Groups_Ozero__class_Ozero(_u5535)) | ( _u5536 = c_Groups_Ozero__class_Ozero(_u5535)) )).
% 29.00/29.24 cnf(matrix-3615, plain, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538) != c_Groups_Ozero__class_Ozero(_u5535)) | ( _u5536 != c_Groups_Ozero__class_Ozero(_u5535)) )).
% 29.00/29.24 cnf(matrix-3616, plain, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538)) != _u5537) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538) = c_Groups_Ozero__class_Ozero(_u5535)) )).
% 29.00/29.24 cnf(matrix-3617, plain, ( ~class_Fields_Ofield__inverse__zero(_u5535) | ~class_Int_Onumber(_u5535) | ( _u5536 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5535), _u5537), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), hAPP(c_Int_Onumber__class_Onumber__of(_u5535), _u5538)) != _u5537) | ( _u5536 != c_Groups_Ozero__class_Ozero(_u5535)) )).
% 29.00/29.24 cnf(matrix-3618, plain, ( ~class_Fields_Olinordered__field(_u5539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5539), _u5540), _u5541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5539), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5539), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5539), _u5540), _u5541)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5539), c_Groups_Oone__class_Oone(_u5539)), c_Groups_Oone__class_Oone(_u5539)))), _u5541)) )).
% 29.00/29.24 cnf(matrix-3619, plain, ( ~class_Fields_Olinordered__field(_u5542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5542), _u5543), _u5544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5542), _u5543), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5542), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), _u5543), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5542), c_Groups_Oone__class_Oone(_u5542)), c_Groups_Oone__class_Oone(_u5542))))) )).
% 29.00/29.24 cnf(matrix-3620, plain, ( ~class_Fields_Ofield__inverse__zero(_u5545) | ~class_Int_Onumber__ring(_u5545) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5545), _u5546), hAPP(c_Int_Onumber__class_Onumber__of(_u5545), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u5545)) )).
% 29.00/29.24 cnf(matrix-3621, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), c_Groups_Ozero__class_Ozero(_u5547)), _u5548)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5547), hAPP(c_Groups_Oabs__class_Oabs(_u5547), _u5549)), _u5548) = hAPP(c_Groups_Oabs__class_Oabs(_u5547), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5547), _u5549), _u5548))) )).
% 29.00/29.24 cnf(matrix-3622, plain, ( ~class_Fields_Ofield(_u5550) | ~class_Int_Onumber__ring(_u5550) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5550), _u5551), hAPP(c_Int_Onumber__class_Onumber__of(_u5550), c_Int_OBit1(c_Int_OPls))) = _u5551) )).
% 29.00/29.24 cnf(matrix-3623, plain, ( ~class_Fields_Ofield(_u5552) | ~class_Int_Onumber__ring(_u5552) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5552), _u5553), hAPP(c_Int_Onumber__class_Onumber__of(_u5552), c_Int_OBit1(c_Int_OPls))) = _u5553) )).
% 29.00/29.24 cnf(matrix-3624, plain, ( ~class_Fields_Ofield__inverse__zero(_u5554) | ~class_Int_Onumber__ring(_u5554) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5554), _u5555), hAPP(c_Int_Onumber__class_Onumber__of(_u5554), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5554), _u5555)) )).
% 29.00/29.24 cnf(matrix-3625, 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)) )).
% 29.00/29.24 cnf(matrix-3626, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5557), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5559), c_Groups_Ozero__class_Ozero(_u5556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5556), c_Groups_Ozero__class_Ozero(_u5556)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5556), _u5557), _u5558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5556), _u5559), _u5557)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5556), _u5559), _u5558))) )).
% 29.00/29.24 cnf(matrix-3627, plain, ( ~class_Fields_Olinordered__field(_u5560) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5560), _u5561), _u5562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5560), c_Groups_Ozero__class_Ozero(_u5560)), _u5563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5560), c_Groups_Ozero__class_Ozero(_u5560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5560), _u5562), _u5561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5560), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5560), _u5563), _u5562)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5560), _u5563), _u5561))) )).
% 29.00/29.24 cnf(matrix-3628, plain, ( ~class_Fields_Olinordered__field(_u5564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5564), _u5565), c_Groups_Ozero__class_Ozero(_u5564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5564), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5564), _u5566), _u5565)), _u5567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5564), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5564), _u5567), _u5565)), _u5566)) )).
% 29.00/29.24 cnf(matrix-3629, plain, ( ~class_Fields_Olinordered__field(_u5564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5564), _u5565), c_Groups_Ozero__class_Ozero(_u5564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5564), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5564), _u5567), _u5565)), _u5566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5564), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5564), _u5566), _u5565)), _u5567)) )).
% 29.00/29.24 cnf(matrix-3630, plain, ( ~class_Fields_Olinordered__field(_u5568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5568), _u5569), c_Groups_Ozero__class_Ozero(_u5568))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5568), _u5570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5568), _u5571), _u5569))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5568), _u5571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5568), _u5570), _u5569))) )).
% 29.00/29.24 cnf(matrix-3631, plain, ( ~class_Fields_Olinordered__field(_u5568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5568), _u5569), c_Groups_Ozero__class_Ozero(_u5568))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5568), _u5571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5568), _u5570), _u5569))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5568), _u5570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5568), _u5571), _u5569))) )).
% 29.00/29.24 cnf(matrix-3632, plain, ( ~class_Fields_Olinordered__field(_u5572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5572), c_Groups_Ozero__class_Ozero(_u5572)), _u5573)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5572), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5572), _u5574), _u5573)), _u5575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5572), _u5574), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5572), _u5575), _u5573))) )).
% 29.00/29.24 cnf(matrix-3633, plain, ( ~class_Fields_Olinordered__field(_u5576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5576), c_Groups_Ozero__class_Ozero(_u5576)), _u5577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5576), _u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5576), _u5579), _u5577))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5576), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5576), _u5578), _u5577)), _u5579)) )).
% 29.00/29.24 cnf(matrix-3634, plain, ( ~class_Fields_Olinordered__field(_u5580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5580), c_Groups_Ozero__class_Ozero(_u5580)), _u5581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5580), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5580), _u5582), _u5581)), _u5583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5580), _u5582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5580), _u5583), _u5581))) )).
% 29.00/29.24 cnf(matrix-3635, plain, ( ~class_Fields_Olinordered__field(_u5580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5580), c_Groups_Ozero__class_Ozero(_u5580)), _u5581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5580), _u5582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5580), _u5583), _u5581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5580), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5580), _u5582), _u5581)), _u5583)) )).
% 29.00/29.24 cnf(matrix-3636, plain, ( ~class_Fields_Olinordered__field(_u5584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5584), c_Groups_Ozero__class_Ozero(_u5584)), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5584), _u5586), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5584), _u5587), _u5585))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5584), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5584), _u5586), _u5585)), _u5587)) )).
% 29.00/29.24 cnf(matrix-3637, plain, ( ~class_Fields_Olinordered__field(_u5584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5584), c_Groups_Ozero__class_Ozero(_u5584)), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5584), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5584), _u5586), _u5585)), _u5587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5584), _u5586), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5584), _u5587), _u5585))) )).
% 29.00/29.24 cnf(matrix-3638, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) )).
% 29.00/29.24 cnf(matrix-3639, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) )).
% 29.00/29.24 cnf(matrix-3640, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 29.00/29.24 cnf(matrix-3641, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 29.00/29.24 cnf(matrix-3642, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) )).
% 29.00/29.24 cnf(matrix-3643, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 29.00/29.24 cnf(matrix-3644, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5590)) )).
% 29.00/29.24 cnf(matrix-3645, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 29.00/29.24 cnf(matrix-3646, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5588), _u5590), c_Groups_Ozero__class_Ozero(_u5588))) )).
% 29.00/29.24 cnf(matrix-3647, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5588), _u5589), _u5590)), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), _u5589), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5591), _u5590)), _u5589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5588), c_Groups_Ozero__class_Ozero(_u5588)), _u5591)) )).
% 29.00/29.24 cnf(matrix-3648, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) )).
% 29.00/29.24 cnf(matrix-3649, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) )).
% 29.00/29.24 cnf(matrix-3650, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 29.00/29.24 cnf(matrix-3651, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 29.00/29.24 cnf(matrix-3652, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 29.00/29.24 cnf(matrix-3653, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 29.00/29.24 cnf(matrix-3654, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), c_Groups_Ozero__class_Ozero(_u5592)), _u5595)) )).
% 29.00/29.24 cnf(matrix-3655, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 29.00/29.24 cnf(matrix-3656, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5592), _u5595), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 29.00/29.24 cnf(matrix-3657, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5592) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5592), _u5594), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), _u5594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5592), _u5593), c_Groups_Ozero__class_Ozero(_u5592))) )).
% 29.00/29.24 cnf(matrix-3658, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) )).
% 29.00/29.24 cnf(matrix-3659, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) )).
% 29.00/29.24 cnf(matrix-3660, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 29.00/29.24 cnf(matrix-3661, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 29.00/29.24 cnf(matrix-3662, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 29.00/29.24 cnf(matrix-3663, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 29.00/29.24 cnf(matrix-3664, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), c_Groups_Ozero__class_Ozero(_u5596)), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))) )).
% 29.00/29.24 cnf(matrix-3665, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 29.00/29.24 cnf(matrix-3666, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 29.00/29.24 cnf(matrix-3667, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5596) | ~class_Int_Onumber(_u5596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5596), _u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599))), _u5598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5598), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5596), _u5597), hAPP(c_Int_Onumber__class_Onumber__of(_u5596), _u5599)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5596), _u5597), c_Groups_Ozero__class_Ozero(_u5596))) )).
% 29.00/29.24 cnf(matrix-3668, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) )).
% 29.00/29.24 cnf(matrix-3669, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) )).
% 29.00/29.24 cnf(matrix-3670, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 29.00/29.24 cnf(matrix-3671, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 29.00/29.24 cnf(matrix-3672, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 29.00/29.24 cnf(matrix-3673, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 29.00/29.24 cnf(matrix-3674, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), c_Groups_Ozero__class_Ozero(_u5600)), _u5603)) )).
% 29.00/29.24 cnf(matrix-3675, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 29.00/29.24 cnf(matrix-3676, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5603), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 29.00/29.24 cnf(matrix-3677, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5600) | ~class_Int_Onumber(_u5600) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5600), _u5602), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603)), _u5602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), _u5602), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), _u5603))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5600), hAPP(c_Int_Onumber__class_Onumber__of(_u5600), _u5601)), c_Groups_Ozero__class_Ozero(_u5600))) )).
% 29.00/29.24 cnf(matrix-3678, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) )).
% 29.00/29.24 cnf(matrix-3679, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) )).
% 29.00/29.24 cnf(matrix-3680, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 29.00/29.24 cnf(matrix-3681, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 29.00/29.24 cnf(matrix-3682, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) )).
% 29.00/29.24 cnf(matrix-3683, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 29.00/29.24 cnf(matrix-3684, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), _u5606)) )).
% 29.00/29.24 cnf(matrix-3685, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 29.00/29.24 cnf(matrix-3686, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5606), c_Groups_Ozero__class_Ozero(_u5604))) )).
% 29.00/29.24 cnf(matrix-3687, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5604) | ~class_Int_Onumber(_u5604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5604), _u5605), _u5606)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), _u5605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607)), _u5606)), _u5605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5604), c_Groups_Ozero__class_Ozero(_u5604)), hAPP(c_Int_Onumber__class_Onumber__of(_u5604), _u5607))) )).
% 29.00/29.24 cnf(matrix-3688, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) )).
% 29.00/29.24 cnf(matrix-3689, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) )).
% 29.00/29.24 cnf(matrix-3690, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 29.00/29.24 cnf(matrix-3691, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 29.00/29.24 cnf(matrix-3692, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) )).
% 29.00/29.24 cnf(matrix-3693, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 29.00/29.24 cnf(matrix-3694, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) )).
% 29.00/29.24 cnf(matrix-3695, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 29.00/29.24 cnf(matrix-3696, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)), c_Groups_Ozero__class_Ozero(_u5608))) )).
% 29.00/29.24 cnf(matrix-3697, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5608) | ~class_Int_Onumber(_u5608) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5608), _u5609), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), _u5609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5608), _u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))), _u5609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5608), c_Groups_Ozero__class_Ozero(_u5608)), _u5611)) )).
% 29.00/29.24 cnf(matrix-3698, plain, ( ~class_Fields_Ofield(_u5612) | ( _u5613 = c_Groups_Ozero__class_Ozero(_u5612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5614), _u5615)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5612), _u5613), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5615), _u5614)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5612), hAPP(hAPP(c_Power_Opower__class_Opower(_u5612), _u5613), _u5615)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5612), _u5613), _u5614))) )).
% 29.00/29.24 cnf(matrix-3699, plain, ( ~class_Fields_Ofield__inverse__zero(_u5616) | ~class_Int_Onumber__ring(_u5616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5616), hAPP(c_Int_Onumber__class_Onumber__of(_u5616), c_Int_OMin)), _u5617) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5616), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5616), c_Groups_Oone__class_Oone(_u5616)), _u5617))) )).
% 29.00/29.24 cnf(matrix-3700, 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)))) )).
% 29.00/29.24 cnf(matrix-3701, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) )).
% 29.00/29.24 cnf(matrix-3702, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) )).
% 29.00/29.24 cnf(matrix-3703, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 29.00/29.24 cnf(matrix-3704, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 29.00/29.24 cnf(matrix-3705, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) )).
% 29.00/29.24 cnf(matrix-3706, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 29.00/29.24 cnf(matrix-3707, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) )).
% 29.00/29.24 cnf(matrix-3708, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 29.00/29.24 cnf(matrix-3709, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)), c_Groups_Ozero__class_Ozero(_u5618))) )).
% 29.00/29.24 cnf(matrix-3710, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5618) | ~class_Int_Onumber(_u5618) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5618), _u5619), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), _u5619), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), _u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))), _u5619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5618), c_Groups_Ozero__class_Ozero(_u5618)), _u5621)) )).
% 29.00/29.24 cnf(matrix-3711, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) )).
% 29.00/29.24 cnf(matrix-3712, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) )).
% 29.00/29.24 cnf(matrix-3713, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 29.00/29.24 cnf(matrix-3714, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 29.00/29.24 cnf(matrix-3715, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) )).
% 29.00/29.24 cnf(matrix-3716, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 29.00/29.24 cnf(matrix-3717, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), _u5624)) )).
% 29.00/29.24 cnf(matrix-3718, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 29.00/29.24 cnf(matrix-3719, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5622), _u5624), c_Groups_Ozero__class_Ozero(_u5622))) )).
% 29.00/29.24 cnf(matrix-3720, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5622) | ~class_Int_Onumber(_u5622) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5622), _u5623), _u5624)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), _u5623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5622), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625)), _u5624)), _u5623)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5622), c_Groups_Ozero__class_Ozero(_u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5622), _u5625))) )).
% 29.00/29.24 cnf(matrix-3721, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) )).
% 29.00/29.24 cnf(matrix-3722, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) )).
% 29.00/29.24 cnf(matrix-3723, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 29.00/29.24 cnf(matrix-3724, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 29.00/29.24 cnf(matrix-3725, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 29.00/29.24 cnf(matrix-3726, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 29.00/29.24 cnf(matrix-3727, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), c_Groups_Ozero__class_Ozero(_u5626)), _u5629)) )).
% 29.00/29.24 cnf(matrix-3728, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 29.00/29.24 cnf(matrix-3729, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5626), _u5629), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 29.00/29.24 cnf(matrix-3730, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5626) | ~class_Int_Onumber(_u5626) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5626), _u5628), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629)), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), _u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), _u5629))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5626), hAPP(c_Int_Onumber__class_Onumber__of(_u5626), _u5627)), c_Groups_Ozero__class_Ozero(_u5626))) )).
% 29.00/29.24 cnf(matrix-3731, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) )).
% 29.00/29.24 cnf(matrix-3732, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) )).
% 29.00/29.24 cnf(matrix-3733, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 29.00/29.24 cnf(matrix-3734, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 29.00/29.24 cnf(matrix-3735, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 29.00/29.24 cnf(matrix-3736, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 29.00/29.24 cnf(matrix-3737, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), c_Groups_Ozero__class_Ozero(_u5630)), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))) )).
% 29.00/29.24 cnf(matrix-3738, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 29.00/29.24 cnf(matrix-3739, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5630), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 29.00/29.24 cnf(matrix-3740, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5630) | ~class_Int_Onumber(_u5630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5630), _u5632), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633))), _u5632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5630), _u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5630), _u5633)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5630), _u5631), c_Groups_Ozero__class_Ozero(_u5630))) )).
% 29.00/29.24 cnf(matrix-3741, plain, ( ( _u5636 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5636, _u5638) = _u5638) )).
% 29.00/29.24 cnf(matrix-3742, plain, ( ( _u5637 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u5637, _u5639) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5637), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u5639))) )).
% 29.00/29.24 cnf(matrix-3743, 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)) )).
% 29.00/29.24 cnf(matrix-3744, 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)) )).
% 29.00/29.24 cnf(matrix-3745, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5640, _u5641, _u5642, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5641) )).
% 29.00/29.24 cnf(matrix-3746, plain, ( ( c_Random_Olog(_u5645, _u5647) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5645), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 29.00/29.24 cnf(matrix-3747, plain, ( ( c_Random_Olog(_u5645, _u5647) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5647), _u5645)) )).
% 29.00/29.24 cnf(matrix-3748, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u5646), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5648), _u5646)) | ( c_Random_Olog(_u5646, _u5648) = 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(_u5646, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u5648), _u5646)))) )).
% 29.00/29.24 cnf(matrix-3749, 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))) )).
% 29.00/29.24 cnf(matrix-3750, plain, ( c_FunDef_Ois__measure(_u5649, _u5650) )).
% 29.00/29.24 cnf(matrix-3751, plain, ( c_FunDef_Ois__measure(_u5651, _u5652) )).
% 29.00/29.24 cnf(matrix-3752, plain, ( c_FunDef_Ois__measure(_u5653, _u5654) )).
% 29.00/29.24 cnf(matrix-3753, plain, ( ~class_Nat_Osize(_u5655) | c_FunDef_Ois__measure(_u5655, c_Nat_Osize__class_Osize(_u5655)) )).
% 29.00/29.24 cnf(matrix-3754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5659), _u5661)) | ( c_Random_Ominus__shift(_u5663, _u5659, _u5661) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5663), _u5659)), _u5661)) )).
% 29.00/29.24 cnf(matrix-3755, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u5660), _u5662)) | ( c_Random_Ominus__shift(_u5664, _u5660, _u5662) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5660), _u5662)) )).
% 29.00/29.24 cnf(matrix-3756, plain, ( ( _u5667 != _u5669) | ( c_Random_Oinc__shift(_u5667, _u5669) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 29.00/29.24 cnf(matrix-3757, plain, ( ( _u5668 = _u5670) | ( c_Random_Oinc__shift(_u5668, _u5670) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u5670), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 29.00/29.24 cnf(matrix-3758, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u5671)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u5671)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.24 cnf(matrix-3759, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u5672)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u5672)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.24 cnf(matrix-3760, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5673), _u5674), _u5675)) | ~c_Nitpick_Ofold__graph_H(_u5673, _u5676, _u5677, _u5678, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5673, tc_HOL_Obool)), _u5675), hAPP(hAPP(c_Set_Oinsert(_u5673), _u5674), c_Orderings_Obot__class_Obot(tc_fun(_u5673, tc_HOL_Obool)))), _u5679) | c_Nitpick_Ofold__graph_H(_u5673, _u5676, _u5677, _u5678, _u5675, hAPP(hAPP(_u5677, _u5674), _u5679)) )).
% 29.00/29.24 cnf(matrix-3761, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u5682) != c_Code__Numeral_OSuc__code__numeral(_u5684)) | ( _u5682 = _u5684) )).
% 29.00/29.24 cnf(matrix-3762, plain, ( ( _u5683 != _u5685) | ( c_Code__Numeral_OSuc__code__numeral(_u5683) = c_Code__Numeral_OSuc__code__numeral(_u5685)) )).
% 29.00/29.24 cnf(matrix-3763, plain, ( c_Nitpick_Ofold__graph_H(_u5686, _u5687, _u5688, _u5689, c_Orderings_Obot__class_Obot(tc_fun(_u5686, tc_HOL_Obool)), _u5689) )).
% 29.00/29.24 cnf(matrix-3764, plain, ( c_Nitpick_Ofold__graph_H(_u5690, _u5691, _u5692, _u5693, c_Orderings_Obot__class_Obot(tc_fun(_u5690, tc_HOL_Obool)), _u5693) )).
% 29.00/29.24 cnf(matrix-3765, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u5694)) )).
% 29.00/29.24 cnf(matrix-3766, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u5695) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 29.00/29.24 cnf(matrix-3767, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u5696, _u5697, _u5698, c_Code__Numeral_OSuc__code__numeral(_u5699)) = hAPP(_u5698, _u5699)) )).
% 29.00/29.24 cnf(matrix-3768, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u5700)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u5700) )).
% 29.00/29.24 cnf(matrix-3769, plain, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( _u5720 = c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u5712), skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), _u5720)) )).
% 29.00/29.24 cnf(matrix-3770, plain, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( _u5720 = c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool))) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = hAPP(hAPP(_u5716, skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), skolem87(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712))) )).
% 29.00/29.24 cnf(matrix-3771, plain, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( _u5720 = c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5712, tc_HOL_Obool)), _u5720), hAPP(hAPP(c_Set_Oinsert(_u5712), skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool)))), skolem87(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)) )).
% 29.00/29.24 cnf(matrix-3772, plain, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = _u5718) | hBOOL(hAPP(hAPP(c_member(_u5712), skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), _u5720)) )).
% 29.00/29.24 cnf(matrix-3773, plain, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = _u5718) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = hAPP(hAPP(_u5716, skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), skolem87(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712))) )).
% 29.00/29.24 cnf(matrix-3774, plain, ( ~c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, _u5720, hAPP(hAPP(_u5716, _u5722), _u5724)) | ( hAPP(hAPP(_u5716, _u5722), _u5724) = _u5718) | c_Nitpick_Ofold__graph_H(_u5712, _u5714, _u5716, _u5718, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5712, tc_HOL_Obool)), _u5720), hAPP(hAPP(c_Set_Oinsert(_u5712), skolem86(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)), c_Orderings_Obot__class_Obot(tc_fun(_u5712, tc_HOL_Obool)))), skolem87(_u5724, _u5722, _u5720, _u5718, _u5716, _u5714, _u5712)) )).
% 29.00/29.24 cnf(matrix-3775, plain, ( c_Nitpick_Ofold__graph_H(_u5713, _u5715, _u5717, _u5719, _u5721, hAPP(hAPP(_u5717, _u5723), _u5725)) | ( _u5721 != c_Orderings_Obot__class_Obot(tc_fun(_u5713, tc_HOL_Obool))) | ( hAPP(hAPP(_u5717, _u5723), _u5725) != _u5719) )).
% 29.00/29.24 cnf(matrix-3776, plain, ( c_Nitpick_Ofold__graph_H(_u5713, _u5715, _u5717, _u5719, _u5721, hAPP(hAPP(_u5717, _u5723), _u5725)) | ~hBOOL(hAPP(hAPP(c_member(_u5713), _u5704), _u5721)) | ( hAPP(hAPP(_u5717, _u5723), _u5725) != hAPP(hAPP(_u5717, _u5704), _u5703)) | ~c_Nitpick_Ofold__graph_H(_u5713, _u5715, _u5717, _u5719, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5713, tc_HOL_Obool)), _u5721), hAPP(hAPP(c_Set_Oinsert(_u5713), _u5704), c_Orderings_Obot__class_Obot(tc_fun(_u5713, tc_HOL_Obool)))), _u5703) )).
% 29.00/29.24 cnf(matrix-3777, plain, ( ( c_Nitpick_Oint__lcm(_u5726, _u5727) = 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), _u5726)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5727))))) )).
% 29.00/29.24 cnf(matrix-3778, plain, ( ( _u5730 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5732, _u5730) = _u5732) )).
% 29.00/29.24 cnf(matrix-3779, plain, ( ( _u5731 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u5733, _u5731) = c_Nitpick_Onat__gcd(_u5731, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5733, _u5731))) )).
% 29.00/29.24 cnf(matrix-3780, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u5734), _u5735) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u5734), _u5735)) )).
% 29.00/29.24 cnf(matrix-3781, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 29.00/29.24 cnf(matrix-3782, plain, ( ( c_Nitpick_Onat__lcm(_u5736, _u5737) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5736), _u5737)), c_Nitpick_Onat__gcd(_u5736, _u5737))) )).
% 29.00/29.24 cnf(matrix-3783, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u5738), _u5739) = 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), _u5738)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5739))))) )).
% 29.00/29.24 cnf(matrix-3784, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u5740, _u5741, _u5742, _u5743, c_Nitpick_Opair__box_OPairBox(_u5740, _u5741, _u5744, _u5745)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u5742, _u5744)), hAPP(_u5743, _u5745))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.24 cnf(matrix-3785, 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), _u5746))) | ~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), _u5746)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5746)) = 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), _u5746)))) )).
% 29.00/29.24 cnf(matrix-3786, 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), _u5746))) | 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), _u5746)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5746)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5746)), 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), _u5746))))) )).
% 29.00/29.24 cnf(matrix-3787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5749), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5751)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5749)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5751)) )).
% 29.00/29.24 cnf(matrix-3788, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5750), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5752)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5750)) = 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), _u5752), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5750)))), 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))) )).
% 29.00/29.24 cnf(matrix-3789, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5753, _u5754, _u5755, c_Code__Numeral_OSuc__code__numeral(_u5756)) = hAPP(hAPP(_u5755, _u5756), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5753, _u5754, _u5755, _u5756))) )).
% 29.00/29.24 cnf(matrix-3790, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u5757, _u5758, _u5759, _u5760), _u5761), _u5762) = hAPP(_u5760, hAPP(_u5761, _u5762))) )).
% 29.00/29.24 cnf(matrix-3791, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u5763, _u5764, _u5765, hAPP(c_COMBK(_u5764, _u5763), _u5766)), _u5767), _u5768) = _u5766) )).
% 29.00/29.24 cnf(matrix-3792, plain, ( ~class_Groups_Ominus(_u5769) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5770, _u5769)), _u5771), _u5772), _u5773) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5769), hAPP(_u5771, _u5773)), hAPP(_u5772, _u5773))) )).
% 29.00/29.24 cnf(matrix-3793, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5776)), _u5778)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5776), _u5778)) )).
% 29.00/29.24 cnf(matrix-3794, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5777), _u5779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5777)), _u5779)) )).
% 29.00/29.24 cnf(matrix-3795, plain, ( ~class_Groups_Ouminus(_u5780) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5781, _u5780)), _u5782), _u5783) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5780), hAPP(_u5782, _u5783))) )).
% 29.00/29.24 cnf(matrix-3796, plain, ( ~class_Orderings_Obot(_u5784) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u5785, _u5784)), _u5786) = c_Orderings_Obot__class_Obot(_u5784)) )).
% 29.00/29.24 cnf(matrix-3797, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u5792, _u5794, _u5796), _u5798), _u5800)) | hBOOL(hAPP(hAPP(_u5794, _u5798), _u5800)) )).
% 29.00/29.24 cnf(matrix-3798, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u5792, _u5794, _u5796), _u5798), _u5800)) | hBOOL(hAPP(_u5796, _u5800)) )).
% 29.00/29.24 cnf(matrix-3799, plain, ( ~hBOOL(hAPP(hAPP(_u5795, _u5799), _u5801)) | ~hBOOL(hAPP(_u5797, _u5801)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u5793, _u5795, _u5797), _u5799), _u5801)) )).
% 29.00/29.24 cnf(matrix-3800, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u5808, _u5810, _u5812, _u5814) != c_Nitpick_Opair__box_OPairBox(_u5808, _u5810, _u5816, _u5818)) | ( _u5812 = _u5816) )).
% 29.00/29.24 cnf(matrix-3801, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u5808, _u5810, _u5812, _u5814) != c_Nitpick_Opair__box_OPairBox(_u5808, _u5810, _u5816, _u5818)) | ( _u5814 = _u5818) )).
% 29.00/29.24 cnf(matrix-3802, plain, ( ( _u5813 != _u5817) | ( _u5815 != _u5819) | ( c_Nitpick_Opair__box_OPairBox(_u5809, _u5811, _u5813, _u5815) = c_Nitpick_Opair__box_OPairBox(_u5809, _u5811, _u5817, _u5819)) )).
% 29.00/29.24 cnf(matrix-3803, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5820) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5820))) )).
% 29.00/29.24 cnf(matrix-3804, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5821), hAPP(c_Nat_OSuc, _u5822)) = 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), _u5821), _u5822))) )).
% 29.00/29.24 cnf(matrix-3805, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5823)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5823)), 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)))) )).
% 29.00/29.24 cnf(matrix-3806, plain, ( ~class_Int_Onumber__ring(_u5824) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5824), _u5825), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5826))) = hAPP(hAPP(c_HOL_OLet(_u5824, _u5824), hAPP(hAPP(c_Power_Opower__class_Opower(_u5824), _u5825), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5826))), hAPP(hAPP(c_COMBS(_u5824, _u5824, _u5824), c_Groups_Otimes__class_Otimes(_u5824)), c_COMBI(_u5824)))) )).
% 29.00/29.24 cnf(matrix-3807, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5827), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5828))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5827), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5828))), 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)))) )).
% 29.00/29.24 cnf(matrix-3808, plain, ( ~class_Int_Onumber__ring(_u5829) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5829), hAPP(c_Int_Onumber__class_Onumber__of(_u5829), _u5830)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u5831))) = hAPP(hAPP(c_HOL_OLet(_u5829, _u5829), hAPP(hAPP(c_Power_Opower__class_Opower(_u5829), hAPP(c_Int_Onumber__class_Onumber__of(_u5829), _u5830)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5831))), hAPP(hAPP(c_COMBS(_u5829, _u5829, _u5829), c_Groups_Otimes__class_Otimes(_u5829)), c_COMBI(_u5829)))) )).
% 29.00/29.24 cnf(matrix-3809, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5834)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5836)), hAPP(c_Int_Onat, _u5834)) = hAPP(c_Int_Onat, _u5836)) )).
% 29.00/29.24 cnf(matrix-3810, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u5835)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5837)), hAPP(c_Int_Onat, _u5835)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5837), _u5835)), 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))) )).
% 29.00/29.24 cnf(matrix-3811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5838), 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)), _u5839)) | ( c_Divides_OnegDivAlg(_u5838, _u5839) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5838), _u5839)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5838, _u5839))) )).
% 29.00/29.24 cnf(matrix-3812, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u5840) = 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), _u5840), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 29.00/29.24 cnf(matrix-3813, plain, ( ~class_Rings_Osemiring__1(_u5841) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5841), _u5842) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5841, hAPP(hAPP(c_COMBC(_u5841, _u5841, _u5841), c_Groups_Oplus__class_Oplus(_u5841)), c_Groups_Oone__class_Oone(_u5841)), _u5842, c_Groups_Ozero__class_Ozero(_u5841))) )).
% 29.00/29.24 cnf(matrix-3814, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u5843, _u5844)), c_Nitpick_Opair__box_OPairBox(_u5843, _u5844, _u5845, _u5846)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-3815, plain, ( ( hAPP(c_Divides_Oadjust(_u5847), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u5848), _u5849)) = 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), _u5849), _u5847)), 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)))), _u5848)), 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)))), _u5848)), _u5849)))) )).
% 29.00/29.24 cnf(matrix-3816, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5850, _u5851, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u5850)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u5850), hAPP(hAPP(c_COMBC(_u5850, 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)), _u5850), 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)), _u5850), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u5852))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u5853))), c_Com_Ocom_OWhile(_u5853, _u5854)), _u5852)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5850), tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-3817, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5857) != hAPP(c_Nat_OSuc, _u5859)) | 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(_u5857))), 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)), _u5859))))) )).
% 29.00/29.24 cnf(matrix-3818, 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(_u5858))), 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)), _u5860))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5858) = hAPP(c_Nat_OSuc, _u5860)) )).
% 29.00/29.24 cnf(matrix-3819, plain, ( ( hAPP(c_Nat_OSuc, _u5863) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5865)) | 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(_u5865))), 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)), _u5863))))) )).
% 29.00/29.24 cnf(matrix-3820, 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(_u5866))), 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)), _u5864))))) | ( hAPP(c_Nat_OSuc, _u5864) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5866)) )).
% 29.00/29.24 cnf(matrix-3821, plain, ( ( c_Nat_Onat_Onat__case(_u5867, _u5868, _u5869, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5870)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5867), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5870))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5867, _u5867), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5867, tc_fun(_u5867, _u5867)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5867, tc_fun(_u5867, _u5867)), tc_Int_Oint), c_If(_u5867)), c_Nat__Numeral_Oneg)), _u5868)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5867, tc_Int_Oint), _u5869), c_Int_Onat)))) )).
% 29.00/29.24 cnf(matrix-3822, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5872))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5872)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-3823, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5873))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5873)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5873)), 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))))) )).
% 29.00/29.24 cnf(matrix-3824, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5878))) | 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(_u5878))), 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), _u5876)), c_Int_Onat))))) )).
% 29.00/29.24 cnf(matrix-3825, 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(_u5879))), 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), _u5877)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5877)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5879))) )).
% 29.00/29.24 cnf(matrix-3826, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5882)), hAPP(c_Nat_OSuc, _u5884))) | 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(_u5882))), 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)), _u5884)))) )).
% 29.00/29.24 cnf(matrix-3827, 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(_u5883))), 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)), _u5885)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5883)), hAPP(c_Nat_OSuc, _u5885))) )).
% 29.00/29.24 cnf(matrix-3828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5888)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5890))) | 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(_u5890))), 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), _u5888)), c_Int_Onat))))) )).
% 29.00/29.24 cnf(matrix-3829, 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(_u5891))), 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), _u5889)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5889)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5891))) )).
% 29.00/29.24 cnf(matrix-3830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5894)), hAPP(c_Nat_OSuc, _u5896))) | 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(_u5894))), 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)), _u5896)))) )).
% 29.00/29.24 cnf(matrix-3831, 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(_u5895))), 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)), _u5897)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5895)), hAPP(c_Nat_OSuc, _u5897))) )).
% 29.00/29.24 cnf(matrix-3832, plain, ( ( c_Nat_Onat_Onat__case(_u5898, _u5899, _u5900, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5901)), _u5902)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5898), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5901))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5898, _u5898), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5898, tc_fun(_u5898, _u5898)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5898, tc_fun(_u5898, _u5898)), tc_Int_Oint), c_If(_u5898)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u5898, _u5899, _u5900, _u5902))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5898, tc_Int_Oint), _u5900), 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)), _u5902))))) )).
% 29.00/29.24 cnf(matrix-3833, plain, ( ~class_Int_Onumber__ring(_u5903) | ~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), _u5904))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5903), _u5905), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5904))) = hAPP(hAPP(c_HOL_OLet(_u5903, _u5903), hAPP(hAPP(c_Power_Opower__class_Opower(_u5903), _u5905), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5904))), hAPP(hAPP(c_COMBS(_u5903, _u5903, _u5903), hAPP(hAPP(c_COMBB(_u5903, tc_fun(_u5903, _u5903), _u5903), c_Groups_Otimes__class_Otimes(_u5903)), hAPP(c_Groups_Otimes__class_Otimes(_u5903), _u5905))), c_COMBI(_u5903)))) )).
% 29.00/29.24 cnf(matrix-3834, plain, ( ~class_Int_Onumber__ring(_u5903) | 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), _u5904))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5903), _u5905), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5904))) = c_Groups_Oone__class_Oone(_u5903)) )).
% 29.00/29.24 cnf(matrix-3835, 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), _u5908))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5910), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5908))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5910), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5908))), 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), _u5910))), c_COMBI(tc_Int_Oint)))) )).
% 29.00/29.24 cnf(matrix-3836, 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), _u5909))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5911), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5909))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.24 cnf(matrix-3837, plain, ( ( c_Divides_OnegDivAlg(_u5914, _u5916) = 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), _u5914), _u5916))) | ~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), _u5914), _u5916))) )).
% 29.00/29.24 cnf(matrix-3838, plain, ( ( c_Divides_OnegDivAlg(_u5914, _u5916) = 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), _u5914), _u5916))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5916), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.24 cnf(matrix-3839, 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), _u5915), _u5917))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5917), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u5915, _u5917) = hAPP(c_Divides_Oadjust(_u5917), c_Divides_OnegDivAlg(_u5915, 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)))), _u5917)))) )).
% 29.00/29.24 cnf(matrix-3840, plain, ( ~class_Int_Onumber__ring(_u5918) | ~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), _u5919))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5918), hAPP(c_Int_Onumber__class_Onumber__of(_u5918), _u5920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5919))) = hAPP(hAPP(c_HOL_OLet(_u5918, _u5918), hAPP(hAPP(c_Power_Opower__class_Opower(_u5918), hAPP(c_Int_Onumber__class_Onumber__of(_u5918), _u5920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5919))), hAPP(hAPP(c_COMBS(_u5918, _u5918, _u5918), hAPP(hAPP(c_COMBB(_u5918, tc_fun(_u5918, _u5918), _u5918), c_Groups_Otimes__class_Otimes(_u5918)), hAPP(c_Groups_Otimes__class_Otimes(_u5918), hAPP(c_Int_Onumber__class_Onumber__of(_u5918), _u5920)))), c_COMBI(_u5918)))) )).
% 29.00/29.24 cnf(matrix-3841, plain, ( ~class_Int_Onumber__ring(_u5918) | 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), _u5919))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5918), hAPP(c_Int_Onumber__class_Onumber__of(_u5918), _u5920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u5919))) = c_Groups_Oone__class_Oone(_u5918)) )).
% 29.00/29.24 cnf(matrix-3842, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u5921, _u5922, _u5923, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u5922) )).
% 29.00/29.24 cnf(matrix-3843, 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), _u5924))) | ~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), _u5925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5925), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)) = 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), _u5925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)))) )).
% 29.00/29.24 cnf(matrix-3844, 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), _u5924))) | 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), _u5925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5925), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5924)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5925), 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), _u5924))))) )).
% 29.00/29.24 cnf(matrix-3845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5926)) | ~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), _u5927), _u5926))) | ( c_Divides_OnegDivAlg(_u5927, _u5926) = 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), _u5927), _u5926))) )).
% 29.00/29.24 cnf(matrix-3846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5926)) | 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), _u5927), _u5926))) | ( c_Divides_OnegDivAlg(_u5927, _u5926) = hAPP(c_Divides_Oadjust(_u5926), c_Divides_OnegDivAlg(_u5927, 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)))), _u5926)))) )).
% 29.00/29.24 cnf(matrix-3847, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5930), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5932, _u5930) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5932), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5930))) )).
% 29.00/29.24 cnf(matrix-3848, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5931), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5933, _u5931) = 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))) | ( _u5933 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.24 cnf(matrix-3849, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5931), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u5933, _u5931) = 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))) | ( _u5931 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.24 cnf(matrix-3850, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5931), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5933 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5931 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u5933, _u5931) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u5933), _u5931)), 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), _u5933))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5931)))) )).
% 29.00/29.24 cnf(matrix-3851, 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), _u5934))) | ~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), _u5934))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5934)) = 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))) )).
% 29.00/29.24 cnf(matrix-3852, 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), _u5934))) | 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), _u5934))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5934)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5934)), 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), _u5934))))) )).
% 29.00/29.24 cnf(matrix-3853, plain, ( ( c_Divides_OposDivAlg(_u5937, _u5939) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5937), _u5939)) )).
% 29.00/29.24 cnf(matrix-3854, plain, ( ( c_Divides_OposDivAlg(_u5937, _u5939) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5939), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.24 cnf(matrix-3855, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5938), _u5940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5940), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u5938, _u5940) = hAPP(c_Divides_Oadjust(_u5940), c_Divides_OposDivAlg(_u5938, 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)))), _u5940)))) )).
% 29.00/29.24 cnf(matrix-3856, plain, ( ( c_Divides_Oadjust(_u5941) = 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)), _u5941))))), 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)), _u5941))))), 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)))))))) )).
% 29.00/29.24 cnf(matrix-3857, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u5947, _u5949, _u5951), _u5953), _u5955)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5947, _u5949)), hAPP(hAPP(c_Product__Type_OPair(_u5947, _u5949), _u5953), _u5955)), _u5951)) )).
% 29.00/29.24 cnf(matrix-3858, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5948, _u5950)), hAPP(hAPP(c_Product__Type_OPair(_u5948, _u5950), _u5954), _u5956)), _u5952)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u5948, _u5950, _u5952), _u5954), _u5956)) )).
% 29.00/29.24 cnf(matrix-3859, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5957) = 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))) )).
% 29.00/29.24 cnf(matrix-3860, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5959)) | ( c_Divides_OposDivAlg(_u5958, _u5959) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5959)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5958, _u5959))) )).
% 29.00/29.24 cnf(matrix-3861, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5961), _u5960)) | ( c_Divides_OposDivAlg(_u5961, _u5960) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5961)) )).
% 29.00/29.24 cnf(matrix-3862, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5961), _u5960)) | ( c_Divides_OposDivAlg(_u5961, _u5960) = hAPP(c_Divides_Oadjust(_u5960), c_Divides_OposDivAlg(_u5961, 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)))), _u5960)))) )).
% 29.00/29.24 cnf(matrix-3863, 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), _u5962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962)) = 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), _u5963))) )).
% 29.00/29.24 cnf(matrix-3864, 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), _u5962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5962)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5963), 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), _u5962))))) )).
% 29.00/29.24 cnf(matrix-3865, plain, ( ~class_Rings_Oring__1(_u5964) | ( _u5965 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5964), _u5965) = c_Groups_Ozero__class_Ozero(_u5964)) )).
% 29.00/29.24 cnf(matrix-3866, plain, ( ~class_Rings_Oring__1(_u5964) | ( _u5965 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5965), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5964), _u5965) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5964), hAPP(c_Int_Oring__1__class_Oof__int(_u5964), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5965)))) )).
% 29.00/29.24 cnf(matrix-3867, plain, ( ~class_Rings_Oring__1(_u5964) | ( _u5965 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5965), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u5964), _u5965) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u5964), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u5964, _u5964)), tc_fun(tc_Int_Oint, _u5964)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u5964, _u5964), _u5964), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u5964, _u5964)), tc_fun(tc_Int_Oint, _u5964)), tc_Int_Oint), c_COMBB(tc_fun(_u5964, _u5964), _u5964, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u5964, tc_fun(tc_fun(_u5964, _u5964), _u5964), tc_Int_Oint), c_HOL_OLet(_u5964, _u5964)), c_Int_Oring__1__class_Oof__int(_u5964)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5964, _u5964), tc_fun(_u5964, _u5964)), hAPP(hAPP(c_COMBB(tc_fun(_u5964, tc_fun(_u5964, _u5964)), tc_fun(tc_fun(_u5964, _u5964), tc_fun(_u5964, _u5964)), tc_Int_Oint), c_COMBS(_u5964, _u5964, _u5964)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u5964, _u5964), tc_fun(_u5964, tc_fun(_u5964, _u5964))), hAPP(hAPP(c_COMBB(tc_fun(_u5964, tc_fun(_u5964, _u5964)), tc_fun(tc_fun(_u5964, _u5964), tc_fun(_u5964, tc_fun(_u5964, _u5964))), tc_Int_Oint), c_COMBB(_u5964, tc_fun(_u5964, _u5964), _u5964)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5964, tc_fun(_u5964, _u5964)), tc_Int_Oint), c_If(_u5964)), 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(_u5964, _u5964, _u5964), c_Groups_Oplus__class_Oplus(_u5964)), c_COMBI(_u5964))))), hAPP(hAPP(c_COMBC(_u5964, _u5964, _u5964), hAPP(hAPP(c_COMBB(_u5964, tc_fun(_u5964, _u5964), _u5964), c_Groups_Oplus__class_Oplus(_u5964)), hAPP(hAPP(c_COMBS(_u5964, _u5964, _u5964), c_Groups_Oplus__class_Oplus(_u5964)), c_COMBI(_u5964)))), c_Groups_Oone__class_Oone(_u5964))))), c_Divides_Odivmod__int(_u5965, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 29.00/29.24 cnf(matrix-3868, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u5966, _u5967) = 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), _u5966), _u5967)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u5966, _u5967))) )).
% 29.00/29.24 cnf(matrix-3869, plain, ( ~c_Nitpick_Orefl_H(_u5972, _u5974) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5972, _u5972)), hAPP(hAPP(c_Product__Type_OPair(_u5972, _u5972), _u5968), _u5968)), _u5974)) )).
% 29.00/29.24 cnf(matrix-3870, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5973, _u5973)), hAPP(hAPP(c_Product__Type_OPair(_u5973, _u5973), skolem88(_u5975, _u5973)), skolem88(_u5975, _u5973))), _u5975)) | c_Nitpick_Orefl_H(_u5973, _u5975) )).
% 29.00/29.24 cnf(matrix-3871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5976), _u5977)) | ( c_Divides_Odivmod__nat(_u5977, _u5976) = 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), _u5977), _u5976)), _u5976))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5977), _u5976), _u5976))) )).
% 29.00/29.24 cnf(matrix-3872, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5978, _u5979, _u5980), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5981)), _u5982)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5978), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5981))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5978, _u5978), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5978, tc_fun(_u5978, _u5978)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5978, tc_fun(_u5978, _u5978)), tc_Int_Oint), c_If(_u5978)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u5978, _u5979, _u5980), _u5982))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5978, _u5978), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5978, _u5978), tc_Int_Oint), _u5980), 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)), _u5982))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5978, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5978, _u5979, _u5980)), 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)), _u5982)))))) )).
% 29.00/29.24 cnf(matrix-3873, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5983, _u5984, _u5985), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u5984) )).
% 29.00/29.24 cnf(matrix-3874, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5986, _u5987, _u5988), hAPP(c_Nat_OSuc, _u5989)) = hAPP(hAPP(_u5988, _u5989), hAPP(c_Nat_Onat_Onat__rec(_u5986, _u5987, _u5988), _u5989))) )).
% 29.00/29.24 cnf(matrix-3875, plain, ( ( c_Divides_Odivmod__nat(_u5990, 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)), _u5990)) )).
% 29.00/29.24 cnf(matrix-3876, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5991), _u5992)) | ( c_Divides_Odivmod__nat(_u5991, _u5992) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5991)) )).
% 29.00/29.24 cnf(matrix-3877, plain, ( ( c_Divides_Odivmod__nat(_u5993, _u5994) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u5993), _u5994)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u5993, _u5994))) )).
% 29.00/29.24 cnf(matrix-3878, plain, ( ( c_Divides_Odivmod__int(_u5995, _u5996) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5995), _u5996)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5995, _u5996))) )).
% 29.00/29.24 cnf(matrix-3879, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u5997, _u5998, _u5999), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6000)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u5997), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6000))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5997, _u5997), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u5997, tc_fun(_u5997, _u5997)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u5997, tc_fun(_u5997, _u5997)), tc_Int_Oint), c_If(_u5997)), c_Nat__Numeral_Oneg)), _u5998)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u5997, _u5997), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5997, _u5997), tc_Int_Oint), _u5999), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5997, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u5997, _u5998, _u5999)), c_Int_Onat))))) )).
% 29.00/29.24 cnf(matrix-3880, 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))))) )).
% 29.00/29.24 cnf(matrix-3881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6003)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6005)) | ( c_Divides_Odivmod__int(_u6003, _u6005) = c_Divides_OposDivAlg(_u6003, _u6005)) )).
% 29.00/29.24 cnf(matrix-3882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6005)) | ( _u6003 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6003, _u6005) = 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))) )).
% 29.00/29.24 cnf(matrix-3883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6005)) | ( _u6003 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6003, _u6005) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6003), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6005)))) )).
% 29.00/29.24 cnf(matrix-3884, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6006)) | ( c_Divides_Odivmod__int(_u6004, _u6006) = c_Divides_OnegDivAlg(_u6004, _u6006)) )).
% 29.00/29.24 cnf(matrix-3885, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6004)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6006)) | ( c_Divides_Odivmod__int(_u6004, _u6006) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6004), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6006)))) )).
% 29.00/29.24 cnf(matrix-3886, plain, ( ( _u6009 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6009, _u6011) = 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))) )).
% 29.00/29.24 cnf(matrix-3887, plain, ( ( _u6010 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6012 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6010, _u6012) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6010)) )).
% 29.00/29.24 cnf(matrix-3888, plain, ( ( _u6010 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6012 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6010, _u6012) = 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, _u6012))), 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)), _u6012)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6010))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6012), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6010), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u6010, _u6012)), 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), _u6012))))), c_Divides_Opdivmod(_u6010, _u6012))))) )).
% 29.00/29.24 cnf(matrix-3889, plain, ( ( c_Hoare__Mirabelle_OMGT(_u6013) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u6013), c_Natural_Oevalc(_u6013))) )).
% 29.00/29.24 cnf(matrix-3890, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6014, _u6015), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6016), _u6017))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6015)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6018), _u6014), _u6015), 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), _u6018), _u6016)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6018), _u6017)), _u6015))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6018), _u6017), _u6015)))) )).
% 29.00/29.24 cnf(matrix-3891, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6019, _u6020), _u6021)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6019, _u6020), _u6022)) | ( _u6021 = _u6022) )).
% 29.00/29.24 cnf(matrix-3892, 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))) )).
% 29.00/29.24 cnf(matrix-3893, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6023, _u6024), _u6025)) | ( c_Divides_Odivmod__nat(_u6023, _u6024) = _u6025) )).
% 29.00/29.24 cnf(matrix-3894, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6026, _u6027), c_Divides_Odivmod__nat(_u6026, _u6027))) )).
% 29.00/29.24 cnf(matrix-3895, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6028, _u6029), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6030), _u6031))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6028, _u6029) = _u6031) )).
% 29.00/29.24 cnf(matrix-3896, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6032, _u6033), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6034), _u6035))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6032), _u6033) = _u6034) )).
% 29.00/29.24 cnf(matrix-3897, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6036), _u6037)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6036), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6037))) )).
% 29.00/29.24 cnf(matrix-3898, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6038, _u6039), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6038), _u6039)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6038, _u6039)))) )).
% 29.00/29.24 cnf(matrix-3899, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6040, _u6041), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6042), _u6043))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6044, _u6041), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6045), _u6046))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6041)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6040), _u6044), _u6041), 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), _u6042), _u6045)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6043), _u6046)), _u6041))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6043), _u6046), _u6041)))) )).
% 29.00/29.24 cnf(matrix-3900, plain, ( ( c_Divides_Opdivmod(_u6047, _u6048) = 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), _u6047)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6048))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6047), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6048)))) )).
% 29.00/29.24 cnf(matrix-3901, plain, ( ( _u6051 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6053, _u6051) = 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), _u6053))) )).
% 29.00/29.24 cnf(matrix-3902, plain, ( ( _u6052 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u6054, _u6052) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6054), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6052))) )).
% 29.00/29.24 cnf(matrix-3903, plain, ( ( _u6057 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6057, _u6059) = 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))) )).
% 29.00/29.24 cnf(matrix-3904, plain, ( ( _u6058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6060 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6058, _u6060) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6058)) )).
% 29.00/29.24 cnf(matrix-3905, plain, ( ( _u6058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6060 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u6058, _u6060) = 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, _u6060))), 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, _u6058)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6060))), c_Divides_Opdivmod(_u6058, _u6060)), 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), _u6060))))), c_Divides_Opdivmod(_u6058, _u6060))))) )).
% 29.00/29.24 cnf(matrix-3906, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6061, _u6062), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u6063), _u6064))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6065)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6061, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6062), _u6065)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6063), _u6065)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6062), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6063, _u6065))), _u6064)))) )).
% 29.00/29.24 cnf(matrix-3907, plain, ( ~hBOOL(hAPP(hAPP(_u6066, _u6067), _u6068)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6069, _u6070, tc_HOL_Obool), _u6066), hAPP(hAPP(c_Product__Type_OPair(_u6069, _u6070), _u6067), _u6068))) )).
% 29.00/29.24 cnf(matrix-3908, plain, ( ~hBOOL(hAPP(hAPP(_u6071, _u6072), _u6073)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6074, _u6075, tc_HOL_Obool), _u6071), hAPP(hAPP(c_Product__Type_OPair(_u6074, _u6075), _u6072), _u6073))) )).
% 29.00/29.24 cnf(matrix-3909, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6076, _u6076)), hAPP(hAPP(c_Product__Type_OPair(_u6076, _u6076), _u6077), _u6078)), _u6079)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6076, _u6076)), hAPP(hAPP(c_Product__Type_OPair(_u6076, _u6076), _u6078), _u6080)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6076, _u6076), tc_HOL_Obool), _u6081), _u6079))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6076, _u6076)), hAPP(hAPP(c_Product__Type_OPair(_u6076, _u6076), _u6077), _u6080)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6076, _u6076), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u6081)), _u6079))) )).
% 29.00/29.24 cnf(matrix-3910, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6082, _u6082)), hAPP(hAPP(c_Product__Type_OPair(_u6082, _u6082), _u6083), _u6084)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6082, _u6082), tc_HOL_Obool), _u6085), _u6086))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6082, _u6082)), hAPP(hAPP(c_Product__Type_OPair(_u6082, _u6082), _u6084), _u6087)), _u6086)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6082, _u6082)), hAPP(hAPP(c_Product__Type_OPair(_u6082, _u6082), _u6083), _u6087)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6082, _u6082), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u6085)), _u6086))) )).
% 29.00/29.24 cnf(matrix-3911, plain, ( ( _u6089 = _u6090) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6088, _u6088)), hAPP(hAPP(c_Product__Type_OPair(_u6088, _u6088), _u6089), _u6090)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6088, _u6088), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6091))) )).
% 29.00/29.24 cnf(matrix-3912, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6092, _u6093), _u6094), _u6095) != hAPP(hAPP(c_Product__Type_OPair(_u6092, _u6093), _u6096), _u6097)) | ( _u6094 = _u6096) )).
% 29.00/29.24 cnf(matrix-3913, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6092, _u6093), _u6094), _u6095) != hAPP(hAPP(c_Product__Type_OPair(_u6092, _u6093), _u6096), _u6097)) | ( _u6095 = _u6097) )).
% 29.00/29.24 cnf(matrix-3914, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6104, _u6106), _u6108), _u6110) != hAPP(hAPP(c_Product__Type_OPair(_u6104, _u6106), _u6112), _u6114)) | ( _u6108 = _u6112) )).
% 29.00/29.24 cnf(matrix-3915, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6104, _u6106), _u6108), _u6110) != hAPP(hAPP(c_Product__Type_OPair(_u6104, _u6106), _u6112), _u6114)) | ( _u6110 = _u6114) )).
% 29.00/29.24 cnf(matrix-3916, plain, ( ( _u6109 != _u6113) | ( _u6111 != _u6115) | ( hAPP(hAPP(c_Product__Type_OPair(_u6105, _u6107), _u6109), _u6111) = hAPP(hAPP(c_Product__Type_OPair(_u6105, _u6107), _u6113), _u6115)) )).
% 29.00/29.24 cnf(matrix-3917, plain, ( ~hBOOL(hAPP(_u6125, skolem89(_u6129, _u6127, _u6125))) | hBOOL(hAPP(_u6125, hAPP(hAPP(c_Product__Type_OPair(_u6127, _u6129), _u6118), _u6117))) )).
% 29.00/29.24 cnf(matrix-3918, plain, ( ~hBOOL(hAPP(_u6126, hAPP(hAPP(c_Product__Type_OPair(_u6128, _u6130), skolem90(_u6130, _u6128, _u6126)), skolem91(_u6130, _u6128, _u6126)))) | hBOOL(hAPP(_u6126, _u6121)) )).
% 29.00/29.24 cnf(matrix-3919, plain, ( ( _u6131 != _u6132) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6133, _u6134, _u6135), _u6136), _u6131) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6133, _u6134, _u6135), _u6136), _u6132)) )).
% 29.00/29.24 cnf(matrix-3920, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6137, _u6137), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6138) = _u6138) )).
% 29.00/29.24 cnf(matrix-3921, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6139, _u6140, _u6141), _u6142), hAPP(hAPP(c_Product__Type_OPair(_u6139, _u6140), _u6143), _u6144)) = hAPP(hAPP(_u6142, _u6143), _u6144)) )).
% 29.00/29.24 cnf(matrix-3922, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6145, _u6146, _u6147), _u6148), hAPP(hAPP(c_Product__Type_OPair(_u6145, _u6146), _u6149), _u6150)) = hAPP(hAPP(_u6148, _u6149), _u6150)) )).
% 29.00/29.24 cnf(matrix-3923, plain, ( hBOOL(hAPP(hAPP(_u6153, _u6154), _u6155)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6151, _u6152, tc_HOL_Obool), _u6153), hAPP(hAPP(c_Product__Type_OPair(_u6151, _u6152), _u6154), _u6155))) )).
% 29.00/29.24 cnf(matrix-3924, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6156, _u6157, _u6158, _u6159), hAPP(hAPP(c_Product__Type_OPair(_u6158, _u6156), _u6160), _u6161)) = hAPP(hAPP(c_Product__Type_OPair(_u6158, _u6157), _u6160), hAPP(_u6159, _u6161))) )).
% 29.00/29.24 cnf(matrix-3925, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6162, _u6163, _u6164, _u6165), hAPP(c_Product__Type_Oapsnd(_u6166, _u6162, _u6164, _u6167), _u6168)) = hAPP(c_Product__Type_Oapsnd(_u6166, _u6163, _u6164, hAPP(c_Fun_Ocomp(_u6162, _u6163, _u6166, _u6165), _u6167)), _u6168)) )).
% 29.00/29.24 cnf(matrix-3926, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u6169, _u6170, _u6171), hAPP(hAPP(c_COMBB(tc_fun(_u6170, tc_prod(_u6169, _u6170)), tc_fun(_u6170, _u6171), _u6169), hAPP(c_COMBB(tc_prod(_u6169, _u6170), _u6171, _u6170), _u6172)), c_Product__Type_OPair(_u6169, _u6170))) = _u6172) )).
% 29.00/29.24 cnf(matrix-3927, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6173, _u6174, _u6175), _u6176), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6177, _u6178, tc_prod(_u6173, _u6174)), _u6179), _u6180)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6177, _u6178, _u6175), hAPP(hAPP(c_COMBB(tc_fun(_u6178, tc_prod(_u6173, _u6174)), tc_fun(_u6178, _u6175), _u6177), hAPP(c_COMBB(tc_prod(_u6173, _u6174), _u6175, _u6178), hAPP(c_Product__Type_Oprod_Oprod__case(_u6173, _u6174, _u6175), _u6176))), _u6179)), _u6180)) )).
% 29.00/29.24 cnf(matrix-3928, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u6181, _u6181)), hAPP(hAPP(c_Product__Type_OPair(_u6181, _u6181), _u6182), _u6182)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u6181, _u6181), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6183))) )).
% 29.00/29.24 cnf(matrix-3929, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u6184, _u6185, _u6186, _u6187, c_Nitpick_Opair__box_OPairBox(_u6184, _u6185, _u6188, _u6189)) = hAPP(hAPP(_u6187, _u6188), _u6189)) )).
% 29.00/29.24 cnf(matrix-3930, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u6190, _u6191, _u6192, _u6193, c_Nitpick_Opair__box_OPairBox(_u6190, _u6191, _u6194, _u6195)) = hAPP(hAPP(_u6193, _u6194), _u6195)) )).
% 29.00/29.24 cnf(matrix-3931, 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), _u6196), _u6197))) | ( c_Divides_OnegDivAlg(_u6196, _u6197) = 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), _u6196), _u6197))) | ~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), _u6196), _u6197))) )).
% 29.00/29.24 cnf(matrix-3932, 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), _u6196), _u6197))) | ( c_Divides_OnegDivAlg(_u6196, _u6197) = 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), _u6196), _u6197))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.24 cnf(matrix-3933, 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), _u6196), _u6197))) | 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), _u6196), _u6197))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6197), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u6196, _u6197) = hAPP(c_Divides_Oadjust(_u6197), c_Divides_OnegDivAlg(_u6196, 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)))), _u6197)))) )).
% 29.00/29.24 cnf(matrix-3934, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6198, _u6199), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6200), _u6201))) | ( _u6199 = 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)), _u6202)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6198, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6199), _u6202)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6200), _u6202)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6199), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6200, _u6202))), _u6201)))) )).
% 29.00/29.24 cnf(matrix-3935, 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), _u6203), _u6204))) | ( c_Divides_OposDivAlg(_u6203, _u6204) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6203), _u6204)) )).
% 29.00/29.24 cnf(matrix-3936, 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), _u6203), _u6204))) | ( c_Divides_OposDivAlg(_u6203, _u6204) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6204), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.24 cnf(matrix-3937, 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), _u6203), _u6204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6203), _u6204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6204), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u6203, _u6204) = hAPP(c_Divides_Oadjust(_u6204), c_Divides_OposDivAlg(_u6203, 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)))), _u6204)))) )).
% 29.00/29.24 cnf(matrix-3938, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6205), _u6206), hAPP(hAPP(_u6207, _u6208), _u6209))) | hBOOL(hAPP(hAPP(c_member(_u6205), _u6206), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6210, _u6211, tc_fun(_u6205, tc_HOL_Obool)), _u6207), hAPP(hAPP(c_Product__Type_OPair(_u6210, _u6211), _u6208), _u6209)))) )).
% 29.00/29.24 cnf(matrix-3939, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6212, _u6213), _u6214)) | ~hBOOL(hAPP(hAPP(_u6213, _u6215), _u6214)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u6212, _u6213), _u6215)) )).
% 29.00/29.24 cnf(matrix-3940, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6221, _u6223), _u6225)) | ~hBOOL(hAPP(hAPP(_u6223, _u6216), _u6225)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u6221, _u6223), _u6216)) )).
% 29.00/29.24 cnf(matrix-3941, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u6222, _u6224), _u6226)) | hBOOL(hAPP(hAPP(_u6224, skolem92(_u6226, _u6224, _u6222)), _u6226)) )).
% 29.00/29.24 cnf(matrix-3942, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u6222, _u6224), _u6226)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6222, _u6224), skolem92(_u6226, _u6224, _u6222))) )).
% 29.00/29.24 cnf(matrix-3943, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6232, _u6234), _u6236)) | ~hBOOL(hAPP(hAPP(_u6234, _u6227), _u6236)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u6232, _u6234), _u6227)) )).
% 29.00/29.24 cnf(matrix-3944, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u6233, _u6235), _u6237)) | hBOOL(hAPP(hAPP(_u6235, skolem93(_u6237, _u6235, _u6233)), _u6237)) )).
% 29.00/29.24 cnf(matrix-3945, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u6233, _u6235), _u6237)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u6233, _u6235), skolem93(_u6237, _u6235, _u6233))) )).
% 29.00/29.24 cnf(matrix-3946, plain, ( hBOOL(hAPP(hAPP(hAPP(_u6241, _u6242), _u6243), _u6244)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6238, _u6239, tc_fun(_u6240, tc_HOL_Obool)), _u6241), hAPP(hAPP(c_Product__Type_OPair(_u6238, _u6239), _u6242), _u6243)), _u6244)) )).
% 29.00/29.24 cnf(matrix-3947, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6245, tc_fun(_u6245, tc_HOL_Obool))), _u6246), _u6247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6245, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u6245, _u6247)), c_Wellfounded_Oaccp(_u6245, _u6246))) )).
% 29.00/29.24 cnf(matrix-3948, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6248, _u6249), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6250), _u6251))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6248, _u6249), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6252), _u6253))) | ( _u6249 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6251 = _u6253) )).
% 29.00/29.24 cnf(matrix-3949, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6254, _u6255), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6256), _u6257))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6254, _u6255), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6258), _u6259))) | ( _u6255 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6256 = _u6258) )).
% 29.00/29.24 cnf(matrix-3950, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6260, _u6260), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6261), _u6262))) | ( _u6260 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6262 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.24 cnf(matrix-3951, plain, ( ( _u6263 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u6263), 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)))) )).
% 29.00/29.24 cnf(matrix-3952, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6264), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6265)), _u6266)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6264, _u6265), hAPP(c_Divides_OnegateSnd, _u6266))) )).
% 29.00/29.24 cnf(matrix-3953, plain, ( ( _u6267 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6268, _u6267), c_Divides_Odivmod__int(_u6268, _u6267))) )).
% 29.00/29.24 cnf(matrix-3954, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6269, _u6269), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6270), _u6271))) | ( _u6269 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6270 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 29.00/29.24 cnf(matrix-3955, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6272, _u6273), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6274), _u6275))) | ( _u6273 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6272, _u6273) = _u6275) )).
% 29.00/29.24 cnf(matrix-3956, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6276, _u6277), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6278), _u6279))) | ( _u6277 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6276), _u6277) = _u6278) )).
% 29.00/29.24 cnf(matrix-3957, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6280), 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)), _u6281)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6280, _u6281), c_Divides_OnegDivAlg(_u6280, _u6281))) )).
% 29.00/29.24 cnf(matrix-3958, plain, ( ( _u6282 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6283, _u6282), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6283), _u6282)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6283, _u6282)))) )).
% 29.00/29.24 cnf(matrix-3959, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6285)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6284, _u6285), c_Divides_OposDivAlg(_u6284, _u6285))) )).
% 29.00/29.24 cnf(matrix-3960, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6286, _u6287), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6288), _u6289))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6290, _u6287), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6291), _u6292))) | ( _u6287 = 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), _u6286), _u6290), _u6287), 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), _u6288), _u6291)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6289), _u6292)), _u6287))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6289), _u6292), _u6287)))) )).
% 29.00/29.24 cnf(matrix-3961, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6293, _u6294), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6295), _u6296))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6293), _u6294), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6296), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6295)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6295)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u6296), 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), _u6294), _u6296))))) )).
% 29.00/29.24 cnf(matrix-3962, plain, ( ( c_Divides_Odivmod__nat(_u6301, _u6299) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6301)) | ( _u6299 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-3963, plain, ( ( c_Divides_Odivmod__nat(_u6301, _u6299) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6301), _u6299)) )).
% 29.00/29.24 cnf(matrix-3964, plain, ( ( _u6300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6302), _u6300)) | ( c_Divides_Odivmod__nat(_u6302, _u6300) = 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), _u6302), _u6300), _u6300))) )).
% 29.00/29.24 cnf(matrix-3965, plain, ( ( _u6303 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6304), _u6305)), _u6306)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6303, _u6304), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6305), _u6306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6304), _u6306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6306), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.24 cnf(matrix-3966, plain, ( ( _u6303 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6304), _u6305)), _u6306)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6303, _u6304), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6305), _u6306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6306), _u6304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6304)) )).
% 29.00/29.24 cnf(matrix-3967, plain, ( ( _u6303 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6304), _u6305)), _u6306)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6303, _u6304), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6305), _u6306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6306), _u6304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6304), _u6306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6306), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.24 cnf(matrix-3968, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u6307, _u6308), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u6309), _u6310))) | ( _u6308 = 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), _u6311), _u6307), _u6308), 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), _u6311), _u6309)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6311), _u6310)), _u6308))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6311), _u6310), _u6308)))) )).
% 29.00/29.24 cnf(matrix-3969, plain, ( ( c_Divides_Odivmod__int__rel(_u6312, _u6313) = 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, _u6312))), 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), _u6313)))))), 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)), _u6313))), 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)), _u6313))))), 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)), _u6313)))), 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), _u6313))), 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)))))))) )).
% 29.00/29.24 cnf(matrix-3970, 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), _u6314), _u6315))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6314, _u6315) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6314), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6315))) )).
% 29.00/29.24 cnf(matrix-3971, 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), _u6314), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6314, _u6315) = 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))) | ( _u6314 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.24 cnf(matrix-3972, 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), _u6314), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u6314, _u6315) = 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))) | ( _u6315 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 29.00/29.24 cnf(matrix-3973, 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), _u6314), _u6315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6315), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6314 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6315 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u6314, _u6315) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u6314), _u6315)), 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), _u6314))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6315)))) )).
% 29.00/29.24 cnf(matrix-3974, 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), _u6318), _u6319))) | hBOOL(hAPP(hAPP(_u6320, _u6318), _u6319)) | 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), skolem94(_u6320, _u6319, _u6318)), skolem95(_u6320, _u6319, _u6318)))) )).
% 29.00/29.24 cnf(matrix-3975, 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), _u6318), _u6319))) | hBOOL(hAPP(hAPP(_u6320, _u6318), _u6319)) | 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), skolem94(_u6320, _u6319, _u6318)), skolem95(_u6320, _u6319, _u6318)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem95(_u6320, _u6319, _u6318)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6320, skolem94(_u6320, _u6319, _u6318)), 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)))), skolem95(_u6320, _u6319, _u6318)))) )).
% 29.00/29.24 cnf(matrix-3976, 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), _u6318), _u6319))) | hBOOL(hAPP(hAPP(_u6320, _u6318), _u6319)) | ~hBOOL(hAPP(hAPP(_u6320, skolem94(_u6320, _u6319, _u6318)), skolem95(_u6320, _u6319, _u6318))) )).
% 29.00/29.24 cnf(matrix-3977, 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), _u6323), _u6324))) | hBOOL(hAPP(hAPP(_u6325, _u6323), _u6324)) | 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), skolem96(_u6325, _u6324, _u6323)), skolem97(_u6325, _u6324, _u6323)))) )).
% 29.00/29.24 cnf(matrix-3978, 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), _u6323), _u6324))) | hBOOL(hAPP(hAPP(_u6325, _u6323), _u6324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem96(_u6325, _u6324, _u6323)), skolem97(_u6325, _u6324, _u6323))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem97(_u6325, _u6324, _u6323)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6325, skolem96(_u6325, _u6324, _u6323)), 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)))), skolem97(_u6325, _u6324, _u6323)))) )).
% 29.00/29.24 cnf(matrix-3979, 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), _u6323), _u6324))) | hBOOL(hAPP(hAPP(_u6325, _u6323), _u6324)) | ~hBOOL(hAPP(hAPP(_u6325, skolem96(_u6325, _u6324, _u6323)), skolem97(_u6325, _u6324, _u6323))) )).
% 29.00/29.24 cnf(matrix-3980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6326)), 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), _u6326)) = 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), _u6326)))))) )).
% 29.00/29.24 cnf(matrix-3981, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u6337, _u6333)), hAPP(_u6337, _u6335))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6331, _u6331)), hAPP(hAPP(c_Product__Type_OPair(_u6331, _u6331), _u6333), _u6335)), hAPP(c_Wellfounded_Omeasure(_u6331), _u6337))) )).
% 29.00/29.24 cnf(matrix-3982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u6338, _u6334)), hAPP(_u6338, _u6336))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6332, _u6332)), hAPP(hAPP(c_Product__Type_OPair(_u6332, _u6332), _u6334), _u6336)), hAPP(c_Wellfounded_Omeasure(_u6332), _u6338))) )).
% 29.00/29.24 cnf(matrix-3983, plain, ( ( hAPP(c_Product__Type_Osnd(_u6339, _u6340), hAPP(hAPP(c_Product__Type_OPair(_u6339, _u6340), _u6341), _u6342)) = _u6342) )).
% 29.00/29.24 cnf(matrix-3984, plain, ( ( _u6346 = _u6347) | ( hAPP(c_Product__Type_Osnd(_u6343, _u6344), hAPP(hAPP(c_Product__Type_OPair(_u6343, _u6344), _u6345), _u6346)) != _u6347) )).
% 29.00/29.24 cnf(matrix-3985, plain, ( ( hAPP(c_Product__Type_Osnd(_u6348, _u6349), hAPP(c_Product__Type_Oapsnd(_u6350, _u6349, _u6348, _u6351), _u6352)) = hAPP(_u6351, hAPP(c_Product__Type_Osnd(_u6348, _u6350), _u6352))) )).
% 29.00/29.24 cnf(matrix-3986, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u6359, _u6361, _u6363, _u6365), _u6367) != hAPP(c_Product__Type_Oapsnd(_u6359, _u6361, _u6363, _u6369), _u6367)) | ( hAPP(_u6365, hAPP(c_Product__Type_Osnd(_u6363, _u6359), _u6367)) = hAPP(_u6369, hAPP(c_Product__Type_Osnd(_u6363, _u6359), _u6367))) )).
% 29.00/29.24 cnf(matrix-3987, plain, ( ( hAPP(_u6366, hAPP(c_Product__Type_Osnd(_u6364, _u6360), _u6368)) != hAPP(_u6370, hAPP(c_Product__Type_Osnd(_u6364, _u6360), _u6368))) | ( hAPP(c_Product__Type_Oapsnd(_u6360, _u6362, _u6364, _u6366), _u6368) = hAPP(c_Product__Type_Oapsnd(_u6360, _u6362, _u6364, _u6370), _u6368)) )).
% 29.00/29.24 cnf(matrix-3988, plain, ( ( hAPP(c_Product__Type_Osnd(_u6371, _u6372), _u6373) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6371, _u6372, _u6372), hAPP(c_COMBK(tc_fun(_u6372, _u6372), _u6371), c_COMBI(_u6372))), _u6373)) )).
% 29.00/29.24 cnf(matrix-3989, plain, ( ~c_FunDef_Ois__measure(_u6374, _u6375) | c_FunDef_Ois__measure(tc_prod(_u6376, _u6374), hAPP(hAPP(c_COMBB(_u6374, tc_Nat_Onat, tc_prod(_u6376, _u6374)), _u6375), c_Product__Type_Osnd(_u6376, _u6374))) )).
% 29.00/29.24 cnf(matrix-3990, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6377, _u6378) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6377, _u6378))) )).
% 29.00/29.24 cnf(matrix-3991, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6379), 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)), _u6380)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6379, _u6380) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6379, _u6380))) )).
% 29.00/29.24 cnf(matrix-3992, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6382)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6381, _u6382) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6381, _u6382))) )).
% 29.00/29.24 cnf(matrix-3993, 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), _u6383))) | ( 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), _u6383)) = 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), _u6383)))) )).
% 29.00/29.24 cnf(matrix-3994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6384)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6385), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6384, _u6385) = 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), _u6384), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6385))))) )).
% 29.00/29.24 cnf(matrix-3995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6386), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6387), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6386, _u6387) = 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), _u6386), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6387))))) )).
% 29.00/29.24 cnf(matrix-3996, 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), _u6388), _u6389))) | ( _u6389 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6388, _u6389) = _u6388) )).
% 29.00/29.24 cnf(matrix-3997, 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), _u6388), _u6389))) | ( _u6389 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6388, _u6389) = c_Nitpick_Onat__gcd(_u6389, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6388, _u6389))) )).
% 29.00/29.24 cnf(matrix-3998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6394, tc_fun(_u6396, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u6394, tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_fun(_u6396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6396, tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_fun(_u6396, tc_HOL_Obool)), _u6394), c_COMBC(_u6396, tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6396, tc_prod(_u6394, _u6396)), tc_fun(_u6396, tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), _u6394), hAPP(c_COMBB(tc_prod(_u6394, _u6396), tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool), _u6396), c_member(tc_prod(_u6394, _u6396)))), c_Product__Type_OPair(_u6394, _u6396)))), _u6398)), hAPP(hAPP(c_COMBC(_u6394, tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_fun(_u6396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6396, tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_fun(_u6396, tc_HOL_Obool)), _u6394), c_COMBC(_u6396, tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6396, tc_prod(_u6394, _u6396)), tc_fun(_u6396, tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool)), _u6394), hAPP(c_COMBB(tc_prod(_u6394, _u6396), tc_fun(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool), tc_HOL_Obool), _u6396), c_member(tc_prod(_u6394, _u6396)))), c_Product__Type_OPair(_u6394, _u6396)))), _u6400))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u6394, _u6396), tc_HOL_Obool)), _u6398), _u6400)) )).
% 29.00/29.24 cnf(matrix-3999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool)), _u6399), _u6401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6395, tc_fun(_u6397, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u6395, tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_fun(_u6397, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6397, tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_fun(_u6397, tc_HOL_Obool)), _u6395), c_COMBC(_u6397, tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6397, tc_prod(_u6395, _u6397)), tc_fun(_u6397, tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), _u6395), hAPP(c_COMBB(tc_prod(_u6395, _u6397), tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool), _u6397), c_member(tc_prod(_u6395, _u6397)))), c_Product__Type_OPair(_u6395, _u6397)))), _u6399)), hAPP(hAPP(c_COMBC(_u6395, tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_fun(_u6397, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6397, tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_fun(_u6397, tc_HOL_Obool)), _u6395), c_COMBC(_u6397, tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6397, tc_prod(_u6395, _u6397)), tc_fun(_u6397, tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool)), _u6395), hAPP(c_COMBB(tc_prod(_u6395, _u6397), tc_fun(tc_fun(tc_prod(_u6395, _u6397), tc_HOL_Obool), tc_HOL_Obool), _u6397), c_member(tc_prod(_u6395, _u6397)))), c_Product__Type_OPair(_u6395, _u6397)))), _u6401))) )).
% 29.00/29.24 cnf(matrix-4000, 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), _u6404), _u6405))) | hBOOL(hAPP(hAPP(_u6406, _u6404), _u6405)) | 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), skolem98(_u6406, _u6405, _u6404)), skolem99(_u6406, _u6405, _u6404)))) )).
% 29.00/29.24 cnf(matrix-4001, 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), _u6404), _u6405))) | hBOOL(hAPP(hAPP(_u6406, _u6404), _u6405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem99(_u6406, _u6405, _u6404)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6406, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem98(_u6406, _u6405, _u6404))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem99(_u6406, _u6405, _u6404)))) )).
% 29.00/29.24 cnf(matrix-4002, 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), _u6404), _u6405))) | hBOOL(hAPP(hAPP(_u6406, _u6404), _u6405)) | ~hBOOL(hAPP(hAPP(_u6406, skolem98(_u6406, _u6405, _u6404)), skolem99(_u6406, _u6405, _u6404))) )).
% 29.00/29.24 cnf(matrix-4003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6407)), 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), _u6407)) = 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), _u6407)))))) )).
% 29.00/29.24 cnf(matrix-4004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6412, tc_fun(_u6414, tc_HOL_Obool))), _u6416), _u6418)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6412, _u6414)), hAPP(hAPP(c_Product__Type_OPair(_u6412, _u6414), _u6416), _u6418)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6412, _u6414), tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4005, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6413, _u6415)), hAPP(hAPP(c_Product__Type_OPair(_u6413, _u6415), _u6417), _u6419)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6413, _u6415), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6413, tc_fun(_u6415, tc_HOL_Obool))), _u6417), _u6419)) )).
% 29.00/29.24 cnf(matrix-4006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6420, tc_fun(_u6421, tc_HOL_Obool))), _u6422), _u6423)) )).
% 29.00/29.24 cnf(matrix-4007, plain, ( ( _u6424 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6425, _u6425), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u6425, _u6425), tc_HOL_Obool)), _u6424), _u6426)) )).
% 29.00/29.24 cnf(matrix-4008, plain, ( ( _u6429 = _u6431) | ( hAPP(c_Product__Type_Ofst(_u6427, _u6428), hAPP(hAPP(c_Product__Type_OPair(_u6427, _u6428), _u6429), _u6430)) != _u6431) )).
% 29.00/29.24 cnf(matrix-4009, plain, ( ( hAPP(c_Product__Type_Ofst(_u6432, _u6433), hAPP(hAPP(c_Product__Type_OPair(_u6432, _u6433), _u6434), _u6435)) = _u6434) )).
% 29.00/29.24 cnf(matrix-4010, plain, ( ( hAPP(c_Product__Type_Ofst(_u6436, _u6437), _u6438) != hAPP(c_Product__Type_Ofst(_u6436, _u6437), _u6439)) | ( hAPP(c_Product__Type_Osnd(_u6436, _u6437), _u6438) != hAPP(c_Product__Type_Osnd(_u6436, _u6437), _u6439)) | ( _u6438 = _u6439) )).
% 29.00/29.24 cnf(matrix-4011, plain, ( ( _u6444 != _u6446) | ( hAPP(c_Product__Type_Ofst(_u6448, _u6450), _u6444) = hAPP(c_Product__Type_Ofst(_u6448, _u6450), _u6446)) )).
% 29.00/29.24 cnf(matrix-4012, plain, ( ( _u6444 != _u6446) | ( hAPP(c_Product__Type_Osnd(_u6448, _u6450), _u6444) = hAPP(c_Product__Type_Osnd(_u6448, _u6450), _u6446)) )).
% 29.00/29.24 cnf(matrix-4013, plain, ( ( hAPP(c_Product__Type_Ofst(_u6449, _u6451), _u6445) != hAPP(c_Product__Type_Ofst(_u6449, _u6451), _u6447)) | ( hAPP(c_Product__Type_Osnd(_u6449, _u6451), _u6445) != hAPP(c_Product__Type_Osnd(_u6449, _u6451), _u6447)) | ( _u6445 = _u6447) )).
% 29.00/29.24 cnf(matrix-4014, plain, ( ( hAPP(c_Product__Type_Ofst(_u6452, _u6453), hAPP(c_Product__Type_Oapsnd(_u6454, _u6453, _u6452, _u6455), _u6456)) = hAPP(c_Product__Type_Ofst(_u6452, _u6454), _u6456)) )).
% 29.00/29.24 cnf(matrix-4015, plain, ( ( hAPP(c_Product__Type_Ofst(_u6457, _u6458), _u6459) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6457, _u6458, _u6457), c_COMBK(_u6457, _u6458)), _u6459)) )).
% 29.00/29.24 cnf(matrix-4016, plain, ( ~c_FunDef_Ois__measure(_u6460, _u6461) | c_FunDef_Ois__measure(tc_prod(_u6460, _u6462), hAPP(hAPP(c_COMBB(_u6460, tc_Nat_Onat, tc_prod(_u6460, _u6462)), _u6461), c_Product__Type_Ofst(_u6460, _u6462))) )).
% 29.00/29.24 cnf(matrix-4017, plain, ( ( _u6463 = hAPP(hAPP(c_Product__Type_OPair(_u6464, _u6465), hAPP(c_Product__Type_Ofst(_u6464, _u6465), _u6463)), hAPP(c_Product__Type_Osnd(_u6464, _u6465), _u6463))) )).
% 29.00/29.24 cnf(matrix-4018, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u6466, _u6467), hAPP(c_Product__Type_Ofst(_u6466, _u6467), _u6468)), hAPP(c_Product__Type_Osnd(_u6466, _u6467), _u6468)) = _u6468) )).
% 29.00/29.24 cnf(matrix-4019, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6469, _u6470, _u6471), hAPP(c_Fun_Ocomp(_u6472, tc_fun(_u6470, _u6471), _u6469, _u6473), _u6474)), _u6475) = hAPP(hAPP(_u6473, hAPP(_u6474, hAPP(c_Product__Type_Ofst(_u6469, _u6470), _u6475))), hAPP(c_Product__Type_Osnd(_u6469, _u6470), _u6475))) )).
% 29.00/29.24 cnf(matrix-4020, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6476, _u6477, _u6478), _u6479), _u6480) = hAPP(hAPP(_u6479, hAPP(c_Product__Type_Ofst(_u6476, _u6477), _u6480)), hAPP(c_Product__Type_Osnd(_u6476, _u6477), _u6480))) )).
% 29.00/29.24 cnf(matrix-4021, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6481), _u6482) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u6481, _u6482))) )).
% 29.00/29.24 cnf(matrix-4022, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6483, _u6484) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6483, _u6484))) )).
% 29.00/29.24 cnf(matrix-4023, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u6485, _u6486), _u6486, _u6487), hAPP(hAPP(c_COMBB(_u6488, tc_fun(_u6486, _u6487), tc_prod(_u6485, _u6486)), _u6489), hAPP(hAPP(c_COMBB(_u6485, _u6488, tc_prod(_u6485, _u6486)), _u6490), c_Product__Type_Ofst(_u6485, _u6486)))), c_Product__Type_Osnd(_u6485, _u6486)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u6485, _u6486, _u6487), hAPP(hAPP(c_COMBB(_u6488, tc_fun(_u6486, _u6487), _u6485), _u6489), _u6490))) )).
% 29.00/29.24 cnf(matrix-4024, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6491, _u6492, _u6493), _u6494), _u6495) = hAPP(hAPP(_u6494, hAPP(c_Product__Type_Ofst(_u6491, _u6492), _u6495)), hAPP(c_Product__Type_Osnd(_u6491, _u6492), _u6495))) )).
% 29.00/29.24 cnf(matrix-4025, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u6496, _u6497, _u6498), _u6499), _u6500) = hAPP(hAPP(_u6499, hAPP(c_Product__Type_Ofst(_u6496, _u6497), _u6500)), hAPP(c_Product__Type_Osnd(_u6496, _u6497), _u6500))) )).
% 29.00/29.24 cnf(matrix-4026, plain, ( ( _u6506 = _u6508) | ~hBOOL(hAPP(hAPP(c_member(_u6504), _u6506), hAPP(c_fequal, _u6508))) )).
% 29.00/29.24 cnf(matrix-4027, plain, ( ( _u6507 != _u6509) | hBOOL(hAPP(hAPP(c_member(_u6505), _u6507), hAPP(c_fequal, _u6509))) )).
% 29.00/29.24 cnf(matrix-4028, plain, ( ~hBOOL(hAPP(_u6510, _u6511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6512, tc_HOL_Obool)), _u6510), _u6513)) | hBOOL(hAPP(_u6513, _u6511)) )).
% 29.00/29.24 cnf(matrix-4029, plain, ( ~hBOOL(hAPP(_u6515, _u6517)) | hBOOL(hAPP(_u6516, _u6517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6514, tc_HOL_Obool)), _u6515), _u6516)) )).
% 29.00/29.24 cnf(matrix-4030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6518), 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)), _u6519)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6518), _u6519) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u6518, _u6519))) )).
% 29.00/29.24 cnf(matrix-4031, plain, ( ( _u6525 = _u6527) | ( hAPP(hAPP(c_COMBC(_u6523, tc_fun(_u6523, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6523)), _u6525) != hAPP(hAPP(c_COMBC(_u6523, tc_fun(_u6523, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6523)), _u6527)) )).
% 29.00/29.24 cnf(matrix-4032, plain, ( ( _u6526 != _u6528) | ( hAPP(hAPP(c_COMBC(_u6524, tc_fun(_u6524, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6524)), _u6526) = hAPP(hAPP(c_COMBC(_u6524, tc_fun(_u6524, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6524)), _u6528)) )).
% 29.00/29.24 cnf(matrix-4033, plain, ( ~hBOOL(hAPP(hAPP(_u6531, _u6533), _u6534)) | hBOOL(hAPP(hAPP(_u6532, _u6533), _u6534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6529, tc_fun(_u6530, tc_HOL_Obool))), _u6531), _u6532)) )).
% 29.00/29.24 cnf(matrix-4034, plain, ( ~hBOOL(hAPP(hAPP(_u6535, _u6536), _u6537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6538, tc_fun(_u6539, tc_HOL_Obool))), _u6535), _u6540)) | hBOOL(hAPP(hAPP(_u6540, _u6536), _u6537)) )).
% 29.00/29.24 cnf(matrix-4035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6542)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6541), _u6542) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u6541, _u6542))) )).
% 29.00/29.24 cnf(matrix-4036, 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), _u6543))) | ( 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), _u6543)) = 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), _u6543)))) )).
% 29.00/29.24 cnf(matrix-4037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6545), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6544), _u6545) = 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), _u6544), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6545))))) )).
% 29.00/29.24 cnf(matrix-4038, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6546), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6547), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6546), _u6547) = 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), _u6546), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6547))))) )).
% 29.00/29.24 cnf(matrix-4039, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6550, tc_HOL_Obool)), _u6552)) | hBOOL(hAPP(hAPP(c_member(_u6550), _u6552), c_Orderings_Obot__class_Obot(tc_fun(_u6550, tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4040, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6551), _u6553), c_Orderings_Obot__class_Obot(tc_fun(_u6551, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u6551, tc_HOL_Obool)), _u6553)) )).
% 29.00/29.24 cnf(matrix-4041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6557, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u6557, tc_fun(_u6557, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6557)), _u6559)), hAPP(hAPP(c_COMBC(_u6557, tc_fun(_u6557, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6557)), _u6561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6557, tc_HOL_Obool)), _u6559), _u6561)) )).
% 29.00/29.24 cnf(matrix-4042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6558, tc_HOL_Obool)), _u6560), _u6562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6558, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u6558, tc_fun(_u6558, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6558)), _u6560)), hAPP(hAPP(c_COMBC(_u6558, tc_fun(_u6558, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6558)), _u6562))) )).
% 29.00/29.24 cnf(matrix-4043, plain, ( ( _u6571 = _u6573) | ( hAPP(hAPP(c_COMBC(_u6567, tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_fun(_u6569, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6569, tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_fun(_u6569, tc_HOL_Obool)), _u6567), c_COMBC(_u6569, tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6569, tc_prod(_u6567, _u6569)), tc_fun(_u6569, tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), _u6567), hAPP(c_COMBB(tc_prod(_u6567, _u6569), tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool), _u6569), c_member(tc_prod(_u6567, _u6569)))), c_Product__Type_OPair(_u6567, _u6569)))), _u6571) != hAPP(hAPP(c_COMBC(_u6567, tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_fun(_u6569, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6569, tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_fun(_u6569, tc_HOL_Obool)), _u6567), c_COMBC(_u6569, tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6569, tc_prod(_u6567, _u6569)), tc_fun(_u6569, tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool)), _u6567), hAPP(c_COMBB(tc_prod(_u6567, _u6569), tc_fun(tc_fun(tc_prod(_u6567, _u6569), tc_HOL_Obool), tc_HOL_Obool), _u6569), c_member(tc_prod(_u6567, _u6569)))), c_Product__Type_OPair(_u6567, _u6569)))), _u6573)) )).
% 29.00/29.24 cnf(matrix-4044, plain, ( ( _u6572 != _u6574) | ( hAPP(hAPP(c_COMBC(_u6568, tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_fun(_u6570, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6570, tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_fun(_u6570, tc_HOL_Obool)), _u6568), c_COMBC(_u6570, tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6570, tc_prod(_u6568, _u6570)), tc_fun(_u6570, tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), _u6568), hAPP(c_COMBB(tc_prod(_u6568, _u6570), tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool), _u6570), c_member(tc_prod(_u6568, _u6570)))), c_Product__Type_OPair(_u6568, _u6570)))), _u6572) = hAPP(hAPP(c_COMBC(_u6568, tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_fun(_u6570, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6570, tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_fun(_u6570, tc_HOL_Obool)), _u6568), c_COMBC(_u6570, tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6570, tc_prod(_u6568, _u6570)), tc_fun(_u6570, tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool)), _u6568), hAPP(c_COMBB(tc_prod(_u6568, _u6570), tc_fun(tc_fun(tc_prod(_u6568, _u6570), tc_HOL_Obool), tc_HOL_Obool), _u6570), c_member(tc_prod(_u6568, _u6570)))), c_Product__Type_OPair(_u6568, _u6570)))), _u6574)) )).
% 29.00/29.24 cnf(matrix-4045, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u6575, _u6576, _u6577, _u6578, _u6579) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u6577, hAPP(c_Product__Type_Ofst(_u6575, _u6576), _u6579))), hAPP(_u6578, hAPP(c_Product__Type_Osnd(_u6575, _u6576), _u6579)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.24 cnf(matrix-4046, plain, ( ~hBOOL(hAPP(hAPP(_u6580, _u6581), _u6582)) | hBOOL(hAPP(hAPP(_u6580, hAPP(c_Product__Type_Osnd(_u6583, _u6584), hAPP(hAPP(c_Product__Type_OPair(_u6583, _u6584), _u6582), _u6581))), hAPP(c_Product__Type_Ofst(_u6583, _u6584), hAPP(hAPP(c_Product__Type_OPair(_u6583, _u6584), _u6582), _u6581)))) )).
% 29.00/29.24 cnf(matrix-4047, plain, ( ~hBOOL(hAPP(_u6585, _u6586)) | ~hBOOL(hAPP(_u6587, _u6588)) | hBOOL(hAPP(_u6585, hAPP(c_Product__Type_Ofst(_u6589, _u6590), hAPP(hAPP(c_Product__Type_OPair(_u6589, _u6590), _u6586), _u6588)))) )).
% 29.00/29.24 cnf(matrix-4048, plain, ( ~hBOOL(hAPP(_u6585, _u6586)) | ~hBOOL(hAPP(_u6587, _u6588)) | hBOOL(hAPP(_u6587, hAPP(c_Product__Type_Osnd(_u6589, _u6590), hAPP(hAPP(c_Product__Type_OPair(_u6589, _u6590), _u6586), _u6588)))) )).
% 29.00/29.24 cnf(matrix-4049, 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), _u6593), _u6594))) | hBOOL(hAPP(hAPP(_u6595, _u6593), _u6594)) | 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), skolem100(_u6595, _u6594, _u6593)), skolem101(_u6595, _u6594, _u6593)))) )).
% 29.00/29.24 cnf(matrix-4050, 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), _u6593), _u6594))) | hBOOL(hAPP(hAPP(_u6595, _u6593), _u6594)) | ( skolem101(_u6595, _u6594, _u6593) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u6595, skolem101(_u6595, _u6594, _u6593)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem100(_u6595, _u6594, _u6593), skolem101(_u6595, _u6594, _u6593)))) )).
% 29.00/29.24 cnf(matrix-4051, 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), _u6593), _u6594))) | hBOOL(hAPP(hAPP(_u6595, _u6593), _u6594)) | ~hBOOL(hAPP(hAPP(_u6595, skolem100(_u6595, _u6594, _u6593)), skolem101(_u6595, _u6594, _u6593))) )).
% 29.00/29.24 cnf(matrix-4052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u6596, _u6597)), hAPP(_u6596, _u6598))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6599, _u6599)), hAPP(hAPP(c_Product__Type_OPair(_u6599, _u6599), _u6597), _u6598)), _u6600)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6599, _u6599)), hAPP(hAPP(c_Product__Type_OPair(_u6599, _u6599), _u6597), _u6598)), c_Wellfounded_Omlex__prod(_u6599, _u6596, _u6600))) )).
% 29.00/29.24 cnf(matrix-4053, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6601), _u6602) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u6601, _u6602))) )).
% 29.00/29.24 cnf(matrix-4054, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6606 = 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), _u6610)), _u6608)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6610))) )).
% 29.00/29.24 cnf(matrix-4055, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6610) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4056, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 = 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)), _u6608)) | 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), _u6610))) )).
% 29.00/29.24 cnf(matrix-4057, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 = 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)), _u6608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6610)), _u6608)) )).
% 29.00/29.24 cnf(matrix-4058, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 = 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)), _u6608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6608), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6610))) )).
% 29.00/29.24 cnf(matrix-4059, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6606, _u6608), _u6610)) | ( _u6608 = 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)), _u6608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6610)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.24 cnf(matrix-4060, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( _u6609 = 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)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6609), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.24 cnf(matrix-4061, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( _u6609 = 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), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6609)) )).
% 29.00/29.24 cnf(matrix-4062, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( _u6609 = 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), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6609), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.24 cnf(matrix-4063, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6611) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6609 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4064, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6611) != 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)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6609), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.24 cnf(matrix-4065, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6611) != 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), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6609)) )).
% 29.00/29.24 cnf(matrix-4066, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u6607, _u6609), _u6611)) | ( _u6607 != 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), _u6611)), _u6609)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u6611) != 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), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), _u6609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6609), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u6611)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.24 cnf(matrix-4067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u6612, _u6613)), hAPP(_u6612, _u6614))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6615, _u6615)), hAPP(hAPP(c_Product__Type_OPair(_u6615, _u6615), _u6613), _u6614)), c_Wellfounded_Omlex__prod(_u6615, _u6612, _u6616))) )).
% 29.00/29.24 cnf(matrix-4068, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u6617)) | 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(_u6617), _u6618))), _u6617)) )).
% 29.00/29.24 cnf(matrix-4069, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6619)), hAPP(c_Nat_OSuc, _u6620)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6619))), 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)), _u6620))))) )).
% 29.00/29.24 cnf(matrix-4070, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6621)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6622)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6622))), 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), _u6621)), c_Int_Onat))))) )).
% 29.00/29.24 cnf(matrix-4071, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u6623, _u6624, _u6625, _u6626, hAPP(hAPP(c_Product__Type_OPair(_u6623, _u6624), _u6627), _u6628)) = hAPP(hAPP(_u6626, _u6627), _u6628)) )).
% 29.00/29.24 cnf(matrix-4072, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u6629, _u6630, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u6629)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u6629), hAPP(hAPP(c_COMBC(_u6629, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u6629), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u6631)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u6632)), _u6633))), c_Com_Ocom_OAss(_u6632, _u6633)), _u6631)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u6629), tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4073, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u6634, _u6635), _u6636, _u6637, _u6638) | ( _u6638 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6636), _u6634), hAPP(_u6635, _u6636))) )).
% 29.00/29.24 cnf(matrix-4074, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u6639, _u6640), _u6641, _u6642, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6641), _u6639), hAPP(_u6640, _u6641))) )).
% 29.00/29.24 cnf(matrix-4075, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u6643, _u6644)), _u6645), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6645), _u6643), hAPP(_u6644, _u6645)))) )).
% 29.00/29.24 cnf(matrix-4076, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u6646, _u6647)), _u6648), _u6649)) | ( _u6649 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6648), _u6646), hAPP(_u6647, _u6648))) )).
% 29.00/29.24 cnf(matrix-4077, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6650), _u6651)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6652), _u6651)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6650), _u6652)), _u6651)) )).
% 29.00/29.24 cnf(matrix-4078, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6653)), hAPP(c_Nat_OSuc, _u6654)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6653), _u6654))) )).
% 29.00/29.24 cnf(matrix-4079, plain, ( ~class_Orderings_Olinorder(_u6655) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6655), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6655), _u6656), _u6657)), _u6658) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6655), _u6656), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6655), _u6657), _u6658))) )).
% 29.00/29.24 cnf(matrix-4080, plain, ( ~class_Orderings_Olinorder(_u6659) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6659), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6659), _u6660), _u6661)), _u6662) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6659), _u6660), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6659), _u6661), _u6662))) )).
% 29.00/29.24 cnf(matrix-4081, plain, ( ~class_Orderings_Olinorder(_u6663) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6663), _u6664), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6663), _u6665), _u6666)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6663), _u6665), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6663), _u6664), _u6666))) )).
% 29.00/29.24 cnf(matrix-4082, plain, ( ~class_Orderings_Olinorder(_u6667) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6667), _u6668), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6667), _u6669), _u6670)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6667), _u6669), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6667), _u6668), _u6670))) )).
% 29.00/29.24 cnf(matrix-4083, plain, ( ~class_Orderings_Olinorder(_u6671) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6671), _u6672), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6671), _u6672), _u6673)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6671), _u6672), _u6673)) )).
% 29.00/29.24 cnf(matrix-4084, plain, ( ~class_Orderings_Olinorder(_u6674) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6674), _u6675), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6674), _u6675), _u6676)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6674), _u6675), _u6676)) )).
% 29.00/29.24 cnf(matrix-4085, plain, ( ~class_Orderings_Olinorder(_u6677) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6677), _u6678), _u6679) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6677), _u6679), _u6678)) )).
% 29.00/29.24 cnf(matrix-4086, plain, ( ~class_Orderings_Olinorder(_u6680) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6680), _u6681), _u6682) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6680), _u6682), _u6681)) )).
% 29.00/29.24 cnf(matrix-4087, plain, ( ~class_Orderings_Olinorder(_u6683) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6683), _u6684), _u6684) = _u6684) )).
% 29.00/29.24 cnf(matrix-4088, plain, ( ~class_Orderings_Olinorder(_u6685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6685), _u6686), _u6687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6685), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6685), _u6686), _u6688)), _u6687)) )).
% 29.00/29.24 cnf(matrix-4089, plain, ( ~class_Orderings_Olinorder(_u6689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6689), _u6690), _u6691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6689), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6689), _u6692), _u6690)), _u6691)) )).
% 29.00/29.24 cnf(matrix-4090, plain, ( ~class_Orderings_Olinorder(_u6693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6693), _u6695), _u6696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), _u6695)) )).
% 29.00/29.24 cnf(matrix-4091, plain, ( ~class_Orderings_Olinorder(_u6693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6693), _u6695), _u6696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), _u6696)) )).
% 29.00/29.24 cnf(matrix-4092, plain, ( ~class_Orderings_Olinorder(_u6693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), _u6695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), _u6696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6693), _u6694), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6693), _u6695), _u6696))) )).
% 29.00/29.24 cnf(matrix-4093, plain, ( ~class_Orderings_Olinorder(_u6697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6697), _u6698), _u6699)), _u6700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), _u6698), _u6700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), _u6699), _u6700)) )).
% 29.00/29.24 cnf(matrix-4094, plain, ( ~class_Orderings_Olinorder(_u6697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6697), _u6698), _u6699)), _u6700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), _u6698), _u6700)) )).
% 29.00/29.24 cnf(matrix-4095, plain, ( ~class_Orderings_Olinorder(_u6697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6697), _u6698), _u6699)), _u6700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6697), _u6699), _u6700)) )).
% 29.00/29.24 cnf(matrix-4096, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6701) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6701), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6701), _u6702), _u6703)), _u6704) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6701), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6701), _u6702), _u6704)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6701), _u6703), _u6704))) )).
% 29.00/29.24 cnf(matrix-4097, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6705), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4098, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6706) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4099, plain, ( ~class_Groups_Oordered__ab__group__add(_u6707) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6707), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6707), _u6708), _u6709)), _u6710) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6707), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6707), _u6708), _u6710)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6707), _u6709), _u6710))) )).
% 29.00/29.24 cnf(matrix-4100, plain, ( ~class_Orderings_Olinorder(_u6711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6711), _u6712), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6711), _u6713), _u6714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6711), _u6712), _u6713)) )).
% 29.00/29.24 cnf(matrix-4101, plain, ( ~class_Orderings_Olinorder(_u6711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6711), _u6712), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6711), _u6713), _u6714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6711), _u6712), _u6714)) )).
% 29.00/29.24 cnf(matrix-4102, plain, ( ~class_Orderings_Olinorder(_u6715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6715), _u6716), _u6717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6715), _u6718), _u6719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6715), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6715), _u6716), _u6718)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6715), _u6717), _u6719))) )).
% 29.00/29.24 cnf(matrix-4103, plain, ( ~class_Orderings_Olinorder(_u6720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6720), _u6721), _u6722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6720), _u6721), _u6723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6720), _u6721), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6720), _u6722), _u6723))) )).
% 29.00/29.24 cnf(matrix-4104, plain, ( ~class_Orderings_Olinorder(_u6724) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6724), _u6725), _u6726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6724), _u6725), _u6727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6724), _u6725), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6724), _u6726), _u6727))) )).
% 29.00/29.24 cnf(matrix-4105, plain, ( ~class_Orderings_Olinorder(_u6728) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6728), _u6729), _u6730)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6728), _u6730), _u6729) = _u6729) )).
% 29.00/29.24 cnf(matrix-4106, plain, ( ~class_Orderings_Olinorder(_u6731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6731), _u6732), _u6733)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6731), _u6732), _u6733) = _u6732) )).
% 29.00/29.24 cnf(matrix-4107, plain, ( ~class_Orderings_Olinorder(_u6734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6734), _u6735), _u6736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6734), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6734), _u6737), _u6735)), _u6736)) )).
% 29.00/29.24 cnf(matrix-4108, plain, ( ~class_Orderings_Olinorder(_u6738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6738), _u6739), _u6740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6738), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6738), _u6739), _u6741)), _u6740)) )).
% 29.00/29.24 cnf(matrix-4109, plain, ( ~class_Orderings_Olinorder(_u6742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6742), _u6744), _u6745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), _u6744)) )).
% 29.00/29.24 cnf(matrix-4110, plain, ( ~class_Orderings_Olinorder(_u6742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6742), _u6744), _u6745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), _u6745)) )).
% 29.00/29.24 cnf(matrix-4111, plain, ( ~class_Orderings_Olinorder(_u6742) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), _u6744)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), _u6745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6742), _u6743), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6742), _u6744), _u6745))) )).
% 29.00/29.24 cnf(matrix-4112, plain, ( ~class_Orderings_Olinorder(_u6746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6746), _u6747), _u6748)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6746), _u6747), _u6748) = _u6747) )).
% 29.00/29.24 cnf(matrix-4113, plain, ( ~class_Orderings_Olinorder(_u6746) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6746), _u6747), _u6748) != _u6747) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6746), _u6747), _u6748)) )).
% 29.00/29.24 cnf(matrix-4114, plain, ( ~class_Orderings_Olinorder(_u6749) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6749), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6749), _u6750), _u6751)), _u6751)) )).
% 29.00/29.24 cnf(matrix-4115, plain, ( ~class_Orderings_Olinorder(_u6752) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6752), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6752), _u6753), _u6754)), _u6753)) )).
% 29.00/29.24 cnf(matrix-4116, plain, ( ~class_Orderings_Olinorder(_u6755) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6755), _u6756), _u6757)), _u6758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), _u6756), _u6758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), _u6757), _u6758)) )).
% 29.00/29.24 cnf(matrix-4117, plain, ( ~class_Orderings_Olinorder(_u6755) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6755), _u6756), _u6757)), _u6758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), _u6756), _u6758)) )).
% 29.00/29.24 cnf(matrix-4118, plain, ( ~class_Orderings_Olinorder(_u6755) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6755), _u6756), _u6757)), _u6758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6755), _u6757), _u6758)) )).
% 29.00/29.24 cnf(matrix-4119, plain, ( ~class_Int_Onumber(_u6759) | ~class_Orderings_Oord(_u6759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6759), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6759), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)) )).
% 29.00/29.24 cnf(matrix-4120, plain, ( ~class_Int_Onumber(_u6759) | ~class_Orderings_Oord(_u6759) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6759), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6759), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6760)), hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6759), _u6761)) )).
% 29.00/29.24 cnf(matrix-4121, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u6762, _u6763), _u6764, _u6765, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6764), _u6762), hAPP(_u6763, _u6764))) )).
% 29.00/29.24 cnf(matrix-4122, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u6766, _u6767)), _u6768), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u6768), _u6766), hAPP(_u6767, _u6768)))) )).
% 29.00/29.24 cnf(matrix-4123, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6769)), _u6770) = 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), _u6769)), _u6770)) )).
% 29.00/29.24 cnf(matrix-4124, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u6771), hAPP(c_Nat_OSuc, _u6772)) = 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)), _u6772)), _u6771)) )).
% 29.00/29.24 cnf(matrix-4125, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u6773, _u6774, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u6773)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u6773), hAPP(hAPP(c_COMBC(_u6773, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u6773), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u6775)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u6776)), _u6777))), c_Com_Ocom_OAss(_u6776, _u6777)), _u6775)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u6773), tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4126, plain, ( ~class_Orderings_Oord(_u6778) | ( c_Orderings_Oord__class_Omin(_u6778) = c_Orderings_Oord_Omin(_u6778, c_Orderings_Oord__class_Oless__eq(_u6778))) )).
% 29.00/29.24 cnf(matrix-4127, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u6787, _u6789), tc_prod(_u6787, _u6789))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u6787, _u6789), tc_prod(_u6787, _u6789)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6789), _u6791), _u6793)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6789), _u6795), _u6797))), c_Wellfounded_Olex__prod(_u6787, _u6789, _u6799, _u6801))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6787, _u6787)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6787), _u6791), _u6795)), _u6799)) | ( _u6791 = _u6795) )).
% 29.00/29.24 cnf(matrix-4128, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u6787, _u6789), tc_prod(_u6787, _u6789))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u6787, _u6789), tc_prod(_u6787, _u6789)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6789), _u6791), _u6793)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6789), _u6795), _u6797))), c_Wellfounded_Olex__prod(_u6787, _u6789, _u6799, _u6801))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6787, _u6787)), hAPP(hAPP(c_Product__Type_OPair(_u6787, _u6787), _u6791), _u6795)), _u6799)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6789, _u6789)), hAPP(hAPP(c_Product__Type_OPair(_u6789, _u6789), _u6793), _u6797)), _u6801)) )).
% 29.00/29.24 cnf(matrix-4129, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u6788, _u6790), tc_prod(_u6788, _u6790))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u6788, _u6790), tc_prod(_u6788, _u6790)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6790), _u6792), _u6794)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6790), _u6796), _u6798))), c_Wellfounded_Olex__prod(_u6788, _u6790, _u6800, _u6802))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6788, _u6788)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6788), _u6792), _u6796)), _u6800)) )).
% 29.00/29.24 cnf(matrix-4130, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u6788, _u6790), tc_prod(_u6788, _u6790))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u6788, _u6790), tc_prod(_u6788, _u6790)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6790), _u6792), _u6794)), hAPP(hAPP(c_Product__Type_OPair(_u6788, _u6790), _u6796), _u6798))), c_Wellfounded_Olex__prod(_u6788, _u6790, _u6800, _u6802))) | ( _u6792 != _u6796) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6790, _u6790)), hAPP(hAPP(c_Product__Type_OPair(_u6790, _u6790), _u6794), _u6798)), _u6802)) )).
% 29.00/29.24 cnf(matrix-4131, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6803)), hAPP(c_Nat_OSuc, _u6804)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6803))), 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, _u6804))), 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)), _u6804))))) )).
% 29.00/29.24 cnf(matrix-4132, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6805)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6806)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u6806))), 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, _u6805))), 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), _u6805)), c_Int_Onat))))) )).
% 29.00/29.24 cnf(matrix-4133, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6807, _u6808, _u6809, _u6810), hAPP(c_Product__Type_Oapsnd(_u6811, _u6809, _u6807, _u6812), _u6813)) = hAPP(hAPP(c_Product__Type_OPair(_u6808, _u6809), hAPP(_u6810, hAPP(c_Product__Type_Ofst(_u6807, _u6811), _u6813))), hAPP(_u6812, hAPP(c_Product__Type_Osnd(_u6807, _u6811), _u6813)))) )).
% 29.00/29.24 cnf(matrix-4134, plain, ( ~class_Orderings_Olinorder(_u6814) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6814), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6814), _u6815), _u6816)), _u6817) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6814), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6814), _u6815), _u6817)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6814), _u6816), _u6817))) )).
% 29.00/29.24 cnf(matrix-4135, plain, ( ~class_Orderings_Olinorder(_u6818) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6818), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6818), _u6819), _u6820)), _u6821) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6818), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6818), _u6819), _u6821)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6818), _u6820), _u6821))) )).
% 29.00/29.24 cnf(matrix-4136, plain, ( ~class_Orderings_Olinorder(_u6822) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6822), _u6823), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6822), _u6824), _u6825)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6822), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6822), _u6823), _u6824)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6822), _u6823), _u6825))) )).
% 29.00/29.24 cnf(matrix-4137, plain, ( ~class_Orderings_Olinorder(_u6826) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6826), _u6827), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6826), _u6828), _u6829)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6826), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6826), _u6827), _u6828)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6826), _u6827), _u6829))) )).
% 29.00/29.24 cnf(matrix-4138, plain, ( ~class_Orderings_Olinorder(_u6830) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6830), _u6831), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6830), _u6831), _u6832)) = _u6831) )).
% 29.00/29.24 cnf(matrix-4139, plain, ( ~class_Orderings_Olinorder(_u6833) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6833), _u6834), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6833), _u6834), _u6835)) = _u6834) )).
% 29.00/29.24 cnf(matrix-4140, plain, ( ~class_Orderings_Olinorder(_u6836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6836), _u6838), _u6839))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), _u6838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), _u6839)) )).
% 29.00/29.24 cnf(matrix-4141, plain, ( ~class_Orderings_Olinorder(_u6836) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6836), _u6838), _u6839))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), _u6838)) )).
% 29.00/29.24 cnf(matrix-4142, plain, ( ~class_Orderings_Olinorder(_u6836) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6836), _u6838), _u6839))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6836), _u6837), _u6839)) )).
% 29.00/29.24 cnf(matrix-4143, plain, ( ~class_Orderings_Olinorder(_u6840) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6840), _u6841), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6840), _u6841), _u6842))) )).
% 29.00/29.24 cnf(matrix-4144, plain, ( ~class_Orderings_Olinorder(_u6843) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6843), _u6844), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6843), _u6845), _u6844))) )).
% 29.00/29.24 cnf(matrix-4145, plain, ( ~class_Orderings_Olinorder(_u6846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6846), _u6847), _u6848)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6846), _u6847), _u6848) = _u6848) )).
% 29.00/29.24 cnf(matrix-4146, plain, ( ~class_Orderings_Olinorder(_u6846) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6846), _u6847), _u6848) != _u6848) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6846), _u6847), _u6848)) )).
% 29.00/29.24 cnf(matrix-4147, plain, ( ~class_Orderings_Olinorder(_u6849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6849), _u6850), _u6851)), _u6852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), _u6850), _u6852)) )).
% 29.00/29.24 cnf(matrix-4148, plain, ( ~class_Orderings_Olinorder(_u6849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6849), _u6850), _u6851)), _u6852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), _u6851), _u6852)) )).
% 29.00/29.24 cnf(matrix-4149, plain, ( ~class_Orderings_Olinorder(_u6849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), _u6850), _u6852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), _u6851), _u6852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6849), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6849), _u6850), _u6851)), _u6852)) )).
% 29.00/29.24 cnf(matrix-4150, plain, ( ~class_Orderings_Olinorder(_u6853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6853), _u6854), _u6855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6853), _u6854), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6853), _u6855), _u6856))) )).
% 29.00/29.24 cnf(matrix-4151, plain, ( ~class_Orderings_Olinorder(_u6857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6857), _u6858), _u6859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6857), _u6858), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6857), _u6860), _u6859))) )).
% 29.00/29.24 cnf(matrix-4152, plain, ( ~class_Orderings_Olinorder(_u6861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6861), _u6862), _u6863)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6861), _u6862), _u6863) = _u6863) )).
% 29.00/29.24 cnf(matrix-4153, plain, ( ~class_Orderings_Olinorder(_u6864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6864), _u6865), _u6866)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6864), _u6866), _u6865) = _u6866) )).
% 29.00/29.24 cnf(matrix-4154, plain, ( ~class_Orderings_Olinorder(_u6867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6867), _u6868), _u6869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6867), _u6870), _u6869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6867), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6867), _u6868), _u6870)), _u6869)) )).
% 29.00/29.24 cnf(matrix-4155, plain, ( ~class_Orderings_Olinorder(_u6871) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6871), _u6872), _u6873)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6871), _u6874), _u6873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6871), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6871), _u6872), _u6874)), _u6873)) )).
% 29.00/29.24 cnf(matrix-4156, plain, ( ~class_Orderings_Olinorder(_u6875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6875), _u6876), _u6877)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6875), _u6878), _u6879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6875), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6875), _u6876), _u6878)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6875), _u6877), _u6879))) )).
% 29.00/29.24 cnf(matrix-4157, plain, ( ~class_Orderings_Olinorder(_u6880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6880), _u6881), _u6882)), _u6883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), _u6881), _u6883)) )).
% 29.00/29.24 cnf(matrix-4158, plain, ( ~class_Orderings_Olinorder(_u6880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6880), _u6881), _u6882)), _u6883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6880), _u6882), _u6883)) )).
% 29.00/29.24 cnf(matrix-4159, plain, ( ~class_Groups_Oordered__ab__group__add(_u6884) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6884), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6884), _u6885), _u6886)), _u6887) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6884), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6884), _u6885), _u6887)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6884), _u6886), _u6887))) )).
% 29.00/29.24 cnf(matrix-4160, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6888) = _u6888) )).
% 29.00/29.24 cnf(matrix-4161, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6889), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6889) )).
% 29.00/29.24 cnf(matrix-4162, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6890)), hAPP(c_Nat_OSuc, _u6891)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u6890), _u6891))) )).
% 29.00/29.24 cnf(matrix-4163, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u6892) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6892), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6892), _u6893), _u6894)), _u6895) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6892), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6892), _u6893), _u6895)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6892), _u6894), _u6895))) )).
% 29.00/29.24 cnf(matrix-4164, plain, ( ~class_Orderings_Olinorder(_u6896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6896), _u6897), _u6898)), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), _u6897), _u6899)) )).
% 29.00/29.24 cnf(matrix-4165, plain, ( ~class_Orderings_Olinorder(_u6896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6896), _u6897), _u6898)), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), _u6898), _u6899)) )).
% 29.00/29.24 cnf(matrix-4166, plain, ( ~class_Orderings_Olinorder(_u6896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), _u6897), _u6899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), _u6898), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6896), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6896), _u6897), _u6898)), _u6899)) )).
% 29.00/29.24 cnf(matrix-4167, plain, ( ~class_Orderings_Olinorder(_u6900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6900), _u6902), _u6903))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), _u6902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), _u6903)) )).
% 29.00/29.24 cnf(matrix-4168, plain, ( ~class_Orderings_Olinorder(_u6900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6900), _u6902), _u6903))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), _u6902)) )).
% 29.00/29.24 cnf(matrix-4169, plain, ( ~class_Orderings_Olinorder(_u6900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6900), _u6902), _u6903))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6900), _u6901), _u6903)) )).
% 29.00/29.24 cnf(matrix-4170, plain, ( ~class_Orderings_Olinorder(_u6904) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6904), _u6905), _u6906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6904), _u6905), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6904), _u6907), _u6906))) )).
% 29.00/29.24 cnf(matrix-4171, plain, ( ~class_Orderings_Olinorder(_u6908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6908), _u6909), _u6910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6908), _u6909), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6908), _u6910), _u6911))) )).
% 29.00/29.24 cnf(matrix-4172, plain, ( ~class_Orderings_Olinorder(_u6912) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6912), _u6913), _u6913) = _u6913) )).
% 29.00/29.24 cnf(matrix-4173, plain, ( ~class_Orderings_Olinorder(_u6914) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6914), _u6915), _u6916) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6914), _u6916), _u6915)) )).
% 29.00/29.24 cnf(matrix-4174, plain, ( ~class_Orderings_Olinorder(_u6917) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6917), _u6918), _u6919) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6917), _u6919), _u6918)) )).
% 29.00/29.24 cnf(matrix-4175, plain, ( ~class_Orderings_Olinorder(_u6920) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6920), _u6921), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6920), _u6921), _u6922)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6920), _u6921), _u6922)) )).
% 29.00/29.24 cnf(matrix-4176, plain, ( ~class_Orderings_Olinorder(_u6923) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6923), _u6924), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6923), _u6924), _u6925)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6923), _u6924), _u6925)) )).
% 29.00/29.24 cnf(matrix-4177, plain, ( ~class_Orderings_Olinorder(_u6926) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6926), _u6927), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6926), _u6928), _u6929)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6926), _u6928), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6926), _u6927), _u6929))) )).
% 29.00/29.24 cnf(matrix-4178, plain, ( ~class_Orderings_Olinorder(_u6930) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6930), _u6931), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6930), _u6932), _u6933)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6930), _u6932), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6930), _u6931), _u6933))) )).
% 29.00/29.24 cnf(matrix-4179, plain, ( ~class_Orderings_Olinorder(_u6934) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6934), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6934), _u6935), _u6936)), _u6937) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6934), _u6935), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6934), _u6936), _u6937))) )).
% 29.00/29.24 cnf(matrix-4180, plain, ( ~class_Orderings_Olinorder(_u6938) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6938), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6938), _u6939), _u6940)), _u6941) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6938), _u6939), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6938), _u6940), _u6941))) )).
% 29.00/29.24 cnf(matrix-4181, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6942, _u6943, _u6944, _u6945), hAPP(hAPP(c_Product__Type_OPair(_u6942, _u6944), _u6946), _u6947)) = hAPP(hAPP(c_Product__Type_OPair(_u6943, _u6944), hAPP(_u6945, _u6946)), _u6947)) )).
% 29.00/29.24 cnf(matrix-4182, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6948, _u6949, _u6950, _u6951), hAPP(c_Product__Type_Oapfst(_u6952, _u6948, _u6950, _u6953), _u6954)) = hAPP(c_Product__Type_Oapfst(_u6952, _u6949, _u6950, hAPP(c_Fun_Ocomp(_u6948, _u6949, _u6952, _u6951), _u6953)), _u6954)) )).
% 29.00/29.24 cnf(matrix-4183, plain, ( ( hAPP(c_Product__Type_Ofst(_u6955, _u6956), hAPP(c_Product__Type_Oapfst(_u6957, _u6955, _u6956, _u6958), _u6959)) = hAPP(_u6958, hAPP(c_Product__Type_Ofst(_u6957, _u6956), _u6959))) )).
% 29.00/29.24 cnf(matrix-4184, plain, ( ( hAPP(c_Product__Type_Oapfst(_u6966, _u6968, _u6970, _u6972), _u6974) != hAPP(c_Product__Type_Oapfst(_u6966, _u6968, _u6970, _u6976), _u6974)) | ( hAPP(_u6972, hAPP(c_Product__Type_Ofst(_u6966, _u6970), _u6974)) = hAPP(_u6976, hAPP(c_Product__Type_Ofst(_u6966, _u6970), _u6974))) )).
% 29.00/29.24 cnf(matrix-4185, plain, ( ( hAPP(_u6973, hAPP(c_Product__Type_Ofst(_u6967, _u6971), _u6975)) != hAPP(_u6977, hAPP(c_Product__Type_Ofst(_u6967, _u6971), _u6975))) | ( hAPP(c_Product__Type_Oapfst(_u6967, _u6969, _u6971, _u6973), _u6975) = hAPP(c_Product__Type_Oapfst(_u6967, _u6969, _u6971, _u6977), _u6975)) )).
% 29.00/29.24 cnf(matrix-4186, plain, ( ( hAPP(c_Product__Type_Osnd(_u6978, _u6979), hAPP(c_Product__Type_Oapfst(_u6980, _u6978, _u6979, _u6981), _u6982)) = hAPP(c_Product__Type_Osnd(_u6980, _u6979), _u6982)) )).
% 29.00/29.24 cnf(matrix-4187, plain, ( ~class_Int_Onumber(_u6983) | ~class_Orderings_Oord(_u6983) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6983), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6983), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985)) )).
% 29.00/29.24 cnf(matrix-4188, plain, ( ~class_Int_Onumber(_u6983) | ~class_Orderings_Oord(_u6983) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6983), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6983), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)), hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6985)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6983), _u6984)) )).
% 29.00/29.24 cnf(matrix-4189, plain, ( ~class_Orderings_Olinorder(_u6986) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6986), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6986), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), _u6988)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), _u6989))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6986), _u6988), _u6989)))) )).
% 29.00/29.24 cnf(matrix-4190, plain, ( ~class_Orderings_Olinorder(_u6990) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6990), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6990), _u6991), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6990), _u6992), _u6993))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6990), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6990), _u6991), _u6992)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6990), _u6991), _u6993)))) )).
% 29.00/29.24 cnf(matrix-4191, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6994) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6994), _u6995), _u6996)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6994), hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), _u6995)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6994), _u6996))) )).
% 29.00/29.24 cnf(matrix-4192, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6997) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6997), _u6998), _u6999)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u6997), hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), _u6998)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6997), _u6999))) )).
% 29.00/29.24 cnf(matrix-4193, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7000), _u7001)), _u7001) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7000), _u7001)) )).
% 29.00/29.24 cnf(matrix-4194, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u7002, _u7003, _u7004, _u7005), hAPP(c_Product__Type_Oapfst(_u7006, _u7004, _u7002, _u7007), _u7008)) = hAPP(c_Product__Type_Oapfst(_u7006, _u7004, _u7003, _u7007), hAPP(c_Product__Type_Oapsnd(_u7002, _u7003, _u7006, _u7005), _u7008))) )).
% 29.00/29.24 cnf(matrix-4195, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7009), hAPP(c_Nat_OSuc, _u7010)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7010), 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)), _u7010)), _u7009)) )).
% 29.00/29.24 cnf(matrix-4196, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7011)), _u7012) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7011), 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), _u7011)), _u7012)) )).
% 29.00/29.24 cnf(matrix-4197, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u7013, _u7014, _u7015, _u7016), hAPP(c_Product__Type_Oapfst(_u7017, _u7015, _u7013, _u7018), _u7019)) = hAPP(hAPP(c_Product__Type_OPair(_u7015, _u7014), hAPP(_u7018, hAPP(c_Product__Type_Ofst(_u7017, _u7013), _u7019))), hAPP(_u7016, hAPP(c_Product__Type_Osnd(_u7017, _u7013), _u7019)))) )).
% 29.00/29.24 cnf(matrix-4198, plain, ( ~class_Orderings_Olinorder(_u7020) | ( c_Orderings_Oord_Omin(_u7020, hAPP(c_COMBC(_u7020, _u7020, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7020))) = c_Orderings_Oord__class_Omax(_u7020)) )).
% 29.00/29.24 cnf(matrix-4199, plain, ( ~hBOOL(hAPP(_u7021, _u7022)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7023, _u7023)), hAPP(hAPP(c_Product__Type_OPair(_u7023, _u7023), _u7024), _u7025)), hAPP(_u7026, _u7022))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u7027, _u7023), tc_prod(_u7027, _u7023))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u7027, _u7023), tc_prod(_u7027, _u7023)), hAPP(hAPP(c_Product__Type_OPair(_u7027, _u7023), _u7022), _u7024)), hAPP(hAPP(c_Product__Type_OPair(_u7027, _u7023), _u7022), _u7025))), c_Recdef_Osame__fst(_u7027, _u7023, _u7021, _u7026))) )).
% 29.00/29.24 cnf(matrix-4200, plain, ( ~class_Orderings_Oord(_u7028) | ( c_Orderings_Oord__class_Omax(_u7028) = c_Orderings_Oord_Omax(_u7028, c_Orderings_Oord__class_Oless__eq(_u7028))) )).
% 29.00/29.24 cnf(matrix-4201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7029), _u7030)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7031), _u7032)) | 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), _u7029), _u7031)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7030), _u7032))), c_FunDef_Opair__less)) )).
% 29.00/29.24 cnf(matrix-4202, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7038 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7038 = hAPP(c_Nat_OSuc, skolem103(_u7039, _u7038, _u7037, _u7036, _u7035))) )).
% 29.00/29.24 cnf(matrix-4203, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7038 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), skolem102(_u7039, _u7038, _u7037, _u7036, _u7035))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), skolem103(_u7039, _u7038, _u7037, _u7036, _u7035)), _u7039))) )).
% 29.00/29.24 cnf(matrix-4204, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7038 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), skolem102(_u7039, _u7038, _u7037, _u7036, _u7035)), _u7037)), _u7039)) )).
% 29.00/29.24 cnf(matrix-4205, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7036 = _u7037) | ( _u7038 = hAPP(c_Nat_OSuc, skolem103(_u7039, _u7038, _u7037, _u7036, _u7035))) )).
% 29.00/29.24 cnf(matrix-4206, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7036 = _u7037) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), skolem102(_u7039, _u7038, _u7037, _u7036, _u7035))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), skolem103(_u7039, _u7038, _u7037, _u7036, _u7035)), _u7039))) )).
% 29.00/29.24 cnf(matrix-4207, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), _u7036), _u7037)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7035, _u7035), tc_HOL_Obool), _u7038), _u7039))) | ( _u7036 = _u7037) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7035, _u7035)), hAPP(hAPP(c_Product__Type_OPair(_u7035, _u7035), skolem102(_u7039, _u7038, _u7037, _u7036, _u7035)), _u7037)), _u7039)) )).
% 29.00/29.24 cnf(matrix-4208, plain, ( ~class_Orderings_Olinorder(_u7040) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7040), _u7041), _u7041) = _u7041) )).
% 29.00/29.24 cnf(matrix-4209, plain, ( ~class_Orderings_Olinorder(_u7042) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7042), _u7043), _u7043) = _u7043) )).
% 29.00/29.24 cnf(matrix-4210, plain, ( ~class_Orderings_Olinorder(_u7044) | ( c_Orderings_Oord_Omax(_u7044, hAPP(c_COMBC(_u7044, _u7044, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7044))) = c_Orderings_Oord__class_Omin(_u7044)) )).
% 29.00/29.24 cnf(matrix-4211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7045), _u7046)) | 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), _u7045), _u7047)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7046), _u7048))), c_FunDef_Opair__less)) )).
% 29.00/29.24 cnf(matrix-4212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7049), _u7050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7051), _u7052)) | 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), _u7049), _u7051)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7050), _u7052))), c_FunDef_Opair__leq)) )).
% 29.00/29.24 cnf(matrix-4213, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7053), _u7054)) | ~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)), _u7055), _u7053)), 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)), _u7056), _u7054)), 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)), _u7055), _u7056)), _u7054)), c_FunDef_Omax__strict)) )).
% 29.00/29.24 cnf(matrix-4214, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7057), _u7058)) | ~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)), _u7057), _u7059)), 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)), _u7058), _u7060)), 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)), _u7058), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7059), _u7060))), c_FunDef_Omin__strict)) )).
% 29.00/29.24 cnf(matrix-4215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7061), _u7062)) | 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), _u7061), _u7063)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7062), _u7064))), c_FunDef_Opair__leq)) )).
% 29.00/29.24 cnf(matrix-4216, 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), _u7069), _u7071)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7073), _u7075))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7069), _u7075) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7073), _u7071)) )).
% 29.00/29.24 cnf(matrix-4217, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7070), _u7076) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7074), _u7072)) | 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), _u7070), _u7072)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7074), _u7076))), c_Int_Ointrel)) )).
% 29.00/29.24 cnf(matrix-4218, plain, ( ( _u7077 = 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)), _u7077), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 29.00/29.24 cnf(matrix-4219, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7078), _u7079)) | ~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)), _u7078), _u7080)), 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)), _u7079), _u7081)), 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)), _u7079), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7080), _u7081))), c_FunDef_Omin__weak)) )).
% 29.00/29.24 cnf(matrix-4220, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u7082), _u7083)) | ~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)), _u7084), _u7082)), 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)), _u7085), _u7083)), 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)), _u7084), _u7085)), _u7083)), c_FunDef_Omax__weak)) )).
% 29.00/29.24 cnf(matrix-4221, 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)), _u7086), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 29.00/29.24 cnf(matrix-4222, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 29.00/29.24 cnf(matrix-4223, 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), _u7089), _u7091)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7089), _u7091)) )).
% 29.00/29.24 cnf(matrix-4224, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7090), _u7092)) | 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), _u7090), _u7092)), c_Wellfounded_Oless__than)) )).
% 29.00/29.24 cnf(matrix-4225, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 29.00/29.24 cnf(matrix-4226, plain, ( ( c_Wellfounded_Omlex__prod(_u7093, _u7094, _u7095) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u7093), _u7093), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u7093, c_Wellfounded_Oless__than, _u7095)), hAPP(hAPP(c_COMBS(_u7093, _u7093, tc_prod(tc_Nat_Onat, _u7093)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u7093, tc_prod(tc_Nat_Onat, _u7093)), _u7093), c_Product__Type_OPair(tc_Nat_Onat, _u7093)), _u7094)), c_COMBI(_u7093)))) )).
% 29.00/29.24 cnf(matrix-4227, 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))))) )).
% 29.00/29.24 cnf(matrix-4228, 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)) )).
% 29.00/29.24 cnf(matrix-4229, 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)) )).
% 29.00/29.24 cnf(matrix-4230, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7101 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7101 = hAPP(c_Nat_OSuc, skolem105(_u7102, _u7101, _u7100, _u7099, _u7098))) )).
% 29.00/29.24 cnf(matrix-4231, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7101 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), skolem104(_u7102, _u7101, _u7100, _u7099, _u7098))), _u7102)) )).
% 29.00/29.24 cnf(matrix-4232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7101 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), skolem104(_u7102, _u7101, _u7100, _u7099, _u7098)), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), skolem105(_u7102, _u7101, _u7100, _u7099, _u7098)), _u7102))) )).
% 29.00/29.24 cnf(matrix-4233, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7099 = _u7100) | ( _u7101 = hAPP(c_Nat_OSuc, skolem105(_u7102, _u7101, _u7100, _u7099, _u7098))) )).
% 29.00/29.24 cnf(matrix-4234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7099 = _u7100) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), skolem104(_u7102, _u7101, _u7100, _u7099, _u7098))), _u7102)) )).
% 29.00/29.24 cnf(matrix-4235, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), _u7099), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), _u7101), _u7102))) | ( _u7099 = _u7100) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7098, _u7098)), hAPP(hAPP(c_Product__Type_OPair(_u7098, _u7098), skolem104(_u7102, _u7101, _u7100, _u7099, _u7098)), _u7100)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7098, _u7098), tc_HOL_Obool), skolem105(_u7102, _u7101, _u7100, _u7099, _u7098)), _u7102))) )).
% 29.00/29.24 cnf(matrix-4236, plain, ( hBOOL(hAPP(_u7104, _u7106)) | hBOOL(hAPP(_u7105, _u7106)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7103, tc_HOL_Obool)), _u7104), _u7105), _u7106)) )).
% 29.00/29.24 cnf(matrix-4237, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7110, tc_HOL_Obool)), _u7109), _u7107), _u7108)) | ~hBOOL(hAPP(_u7107, _u7108)) )).
% 29.00/29.24 cnf(matrix-4238, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7110, tc_HOL_Obool)), _u7109), _u7107), _u7108)) | ~hBOOL(hAPP(_u7109, _u7108)) )).
% 29.00/29.24 cnf(matrix-4239, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7111, tc_HOL_Obool)), _u7113), _u7114))) | hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), _u7113)) | hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), _u7114)) )).
% 29.00/29.24 cnf(matrix-4240, plain, ( hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7115, tc_HOL_Obool)), _u7118), _u7117))) | ~hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), _u7117)) )).
% 29.00/29.24 cnf(matrix-4241, plain, ( hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7115, tc_HOL_Obool)), _u7118), _u7117))) | ~hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), _u7118)) )).
% 29.00/29.24 cnf(matrix-4242, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7122, tc_HOL_Obool)), _u7124), _u7126) != c_Orderings_Obot__class_Obot(tc_fun(_u7122, tc_HOL_Obool))) | ( _u7124 = c_Orderings_Obot__class_Obot(tc_fun(_u7122, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4243, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7122, tc_HOL_Obool)), _u7124), _u7126) != c_Orderings_Obot__class_Obot(tc_fun(_u7122, tc_HOL_Obool))) | ( _u7126 = c_Orderings_Obot__class_Obot(tc_fun(_u7122, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4244, plain, ( ( _u7125 != c_Orderings_Obot__class_Obot(tc_fun(_u7123, tc_HOL_Obool))) | ( _u7127 != c_Orderings_Obot__class_Obot(tc_fun(_u7123, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7123, tc_HOL_Obool)), _u7125), _u7127) = c_Orderings_Obot__class_Obot(tc_fun(_u7123, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4245, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7128, tc_HOL_Obool)), _u7129), c_Orderings_Obot__class_Obot(tc_fun(_u7128, tc_HOL_Obool))) = _u7129) )).
% 29.00/29.24 cnf(matrix-4246, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7130, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7130, tc_HOL_Obool))), _u7131) = _u7131) )).
% 29.00/29.24 cnf(matrix-4247, plain, ( ~class_Lattices_Obounded__lattice__bot(_u7132) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7132), c_Orderings_Obot__class_Obot(_u7132)), _u7133) = _u7133) )).
% 29.00/29.24 cnf(matrix-4248, plain, ( ~class_Lattices_Obounded__lattice__bot(_u7134) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7134), _u7135), c_Orderings_Obot__class_Obot(_u7134)) = _u7135) )).
% 29.00/29.24 cnf(matrix-4249, plain, ( ~class_Lattices_Obounded__lattice__bot(_u7136) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7136), _u7137), _u7138) != c_Orderings_Obot__class_Obot(_u7136)) | ( _u7137 = c_Orderings_Obot__class_Obot(_u7136)) )).
% 29.00/29.24 cnf(matrix-4250, plain, ( ~class_Lattices_Obounded__lattice__bot(_u7136) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7136), _u7137), _u7138) != c_Orderings_Obot__class_Obot(_u7136)) | ( _u7138 = c_Orderings_Obot__class_Obot(_u7136)) )).
% 29.00/29.24 cnf(matrix-4251, plain, ( ~class_Lattices_Obounded__lattice__bot(_u7136) | ( _u7137 != c_Orderings_Obot__class_Obot(_u7136)) | ( _u7138 != c_Orderings_Obot__class_Obot(_u7136)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7136), _u7137), _u7138) = c_Orderings_Obot__class_Obot(_u7136)) )).
% 29.00/29.24 cnf(matrix-4252, plain, ( ~class_Lattices_Osemilattice__sup(_u7139) | ~class_Orderings_Olinorder(_u7139) | ( c_Lattices_Osemilattice__sup__class_Osup(_u7139) = c_Orderings_Oord__class_Omax(_u7139)) )).
% 29.00/29.24 cnf(matrix-4253, plain, ( ~class_Lattices_Olattice(_u7140) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7140), _u7141), _u7141) = _u7141) )).
% 29.00/29.24 cnf(matrix-4254, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7142, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7142, tc_HOL_Obool)), _u7143), _u7144)), _u7145) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7142, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7142, tc_HOL_Obool)), _u7143), _u7145)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7142, tc_HOL_Obool)), _u7144), _u7145))) )).
% 29.00/29.24 cnf(matrix-4255, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7146, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7146, tc_HOL_Obool)), _u7147), _u7148)), _u7148) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7146, tc_HOL_Obool)), _u7147), _u7148)) )).
% 29.00/29.24 cnf(matrix-4256, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7149, tc_HOL_Obool)), _u7150), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7149, tc_HOL_Obool)), _u7151), _u7150)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7149, tc_HOL_Obool)), _u7150), _u7151)) )).
% 29.00/29.24 cnf(matrix-4257, plain, ( ~class_Lattices_Olattice(_u7152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7152), _u7153), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7152), _u7153), _u7154))) )).
% 29.00/29.24 cnf(matrix-4258, plain, ( ~class_Lattices_Osemilattice__sup(_u7155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7155), _u7156), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7155), _u7156), _u7157))) )).
% 29.00/29.24 cnf(matrix-4259, plain, ( ~class_Lattices_Olattice(_u7158) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7158), _u7159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7158), _u7160), _u7159))) )).
% 29.00/29.24 cnf(matrix-4260, plain, ( ~class_Lattices_Osemilattice__sup(_u7161) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7161), _u7162), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7161), _u7163), _u7162))) )).
% 29.00/29.24 cnf(matrix-4261, plain, ( ~class_Lattices_Osemilattice__sup(_u7164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7164), _u7165), _u7166)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7164), _u7165), _u7166) = _u7166) )).
% 29.00/29.24 cnf(matrix-4262, plain, ( ~class_Lattices_Osemilattice__sup(_u7164) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7164), _u7165), _u7166) != _u7166) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7164), _u7165), _u7166)) )).
% 29.00/29.24 cnf(matrix-4263, plain, ( ~class_Lattices_Osemilattice__sup(_u7167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7167), _u7168), _u7169)), _u7170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), _u7168), _u7170)) )).
% 29.00/29.24 cnf(matrix-4264, plain, ( ~class_Lattices_Osemilattice__sup(_u7167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7167), _u7168), _u7169)), _u7170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), _u7169), _u7170)) )).
% 29.00/29.24 cnf(matrix-4265, plain, ( ~class_Lattices_Osemilattice__sup(_u7167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), _u7168), _u7170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), _u7169), _u7170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7167), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7167), _u7168), _u7169)), _u7170)) )).
% 29.00/29.24 cnf(matrix-4266, plain, ( ~class_Lattices_Osemilattice__sup(_u7171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7171), _u7172), _u7173)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7171), _u7172), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7171), _u7173), _u7174))) )).
% 29.00/29.24 cnf(matrix-4267, plain, ( ~class_Lattices_Osemilattice__sup(_u7175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7175), _u7176), _u7177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7175), _u7176), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7175), _u7178), _u7177))) )).
% 29.00/29.24 cnf(matrix-4268, plain, ( ~class_Lattices_Osemilattice__sup(_u7179) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7179), _u7180), _u7181)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7179), _u7180), _u7181) = _u7181) )).
% 29.00/29.24 cnf(matrix-4269, plain, ( ~class_Lattices_Osemilattice__sup(_u7182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7182), _u7183), _u7184)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7182), _u7184), _u7183) = _u7184) )).
% 29.00/29.24 cnf(matrix-4270, plain, ( ~class_Lattices_Osemilattice__sup(_u7185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7185), _u7186), _u7187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7185), _u7188), _u7187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7185), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7185), _u7186), _u7188)), _u7187)) )).
% 29.00/29.24 cnf(matrix-4271, plain, ( ~class_Lattices_Osemilattice__sup(_u7189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7189), _u7190), _u7191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7189), _u7192), _u7191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7189), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7189), _u7190), _u7192)), _u7191)) )).
% 29.00/29.24 cnf(matrix-4272, plain, ( ~class_Lattices_Osemilattice__sup(_u7193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7193), _u7194), _u7195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7193), _u7196), _u7197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7193), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7193), _u7194), _u7196)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7193), _u7195), _u7197))) )).
% 29.00/29.24 cnf(matrix-4273, plain, ( ~class_Lattices_Osemilattice__sup(_u7198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7198), _u7199), _u7200)), _u7201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7198), _u7199), _u7201)) )).
% 29.00/29.24 cnf(matrix-4274, plain, ( ~class_Lattices_Osemilattice__sup(_u7198) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7198), _u7199), _u7200)), _u7201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7198), _u7200), _u7201)) )).
% 29.00/29.24 cnf(matrix-4275, plain, ( ~hBOOL(hAPP(_u7202, _u7203)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7204, tc_HOL_Obool)), _u7202), _u7205), _u7203)) )).
% 29.00/29.24 cnf(matrix-4276, plain, ( ~hBOOL(hAPP(_u7206, _u7207)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7208, tc_HOL_Obool)), _u7209), _u7206), _u7207)) )).
% 29.00/29.24 cnf(matrix-4277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7210, tc_HOL_Obool)), _u7211), _u7212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7210, tc_HOL_Obool)), _u7213), _u7214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7210, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7210, tc_HOL_Obool)), _u7211), _u7213)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7210, tc_HOL_Obool)), _u7212), _u7214))) )).
% 29.00/29.24 cnf(matrix-4278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), _u7216), _u7217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), _u7218), _u7217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7215, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7215, tc_HOL_Obool)), _u7216), _u7218)), _u7217)) )).
% 29.00/29.24 cnf(matrix-4279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7219, tc_HOL_Obool)), _u7220), _u7221)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7219, tc_HOL_Obool)), _u7221), _u7220) = _u7221) )).
% 29.00/29.24 cnf(matrix-4280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7222, tc_HOL_Obool)), _u7223), _u7224)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7222, tc_HOL_Obool)), _u7223), _u7224) = _u7224) )).
% 29.00/29.24 cnf(matrix-4281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7228, tc_HOL_Obool)), _u7230), _u7232)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7228, tc_HOL_Obool)), _u7230), _u7232) = _u7232) )).
% 29.00/29.24 cnf(matrix-4282, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7229, tc_HOL_Obool)), _u7231), _u7233) != _u7233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7229, tc_HOL_Obool)), _u7231), _u7233)) )).
% 29.00/29.24 cnf(matrix-4283, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7234, tc_HOL_Obool)), _u7235), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7234, tc_HOL_Obool)), _u7236), _u7235))) )).
% 29.00/29.24 cnf(matrix-4284, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7237, tc_HOL_Obool)), _u7238), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7237, tc_HOL_Obool)), _u7238), _u7239))) )).
% 29.00/29.24 cnf(matrix-4285, plain, ( ~class_Lattices_Osemilattice__sup(_u7240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7240), _u7241), _u7242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7240), _u7241), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7240), _u7243), _u7242))) )).
% 29.00/29.24 cnf(matrix-4286, plain, ( ~class_Lattices_Osemilattice__sup(_u7244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7244), _u7245), _u7246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7244), _u7245), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7244), _u7246), _u7247))) )).
% 29.00/29.24 cnf(matrix-4287, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7248, tc_HOL_Obool)), _u7249), _u7249) = _u7249) )).
% 29.00/29.24 cnf(matrix-4288, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7250, tc_HOL_Obool)), _u7251), _u7252) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7250, tc_HOL_Obool)), _u7252), _u7251)) )).
% 29.00/29.24 cnf(matrix-4289, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7253, tc_HOL_Obool)), _u7254), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7253, tc_HOL_Obool)), _u7254), _u7255)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7253, tc_HOL_Obool)), _u7254), _u7255)) )).
% 29.00/29.24 cnf(matrix-4290, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7256, tc_HOL_Obool)), _u7257), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7256, tc_HOL_Obool)), _u7258), _u7259)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7256, tc_HOL_Obool)), _u7258), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7256, tc_HOL_Obool)), _u7257), _u7259))) )).
% 29.00/29.24 cnf(matrix-4291, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7260, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7260, tc_HOL_Obool)), _u7261), _u7262)), _u7263) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7260, tc_HOL_Obool)), _u7261), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7260, tc_HOL_Obool)), _u7262), _u7263))) )).
% 29.00/29.24 cnf(matrix-4292, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7274), _u7264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7274, tc_HOL_Obool)), _u7276), _u7278))) | ~hBOOL(hAPP(_u7280, _u7264)) | hBOOL(hAPP(hAPP(c_member(_u7274), skolem106(_u7280, _u7278, _u7276, _u7274)), _u7276)) | hBOOL(hAPP(hAPP(c_member(_u7274), skolem107(_u7280, _u7278, _u7276, _u7274)), _u7278)) )).
% 29.00/29.24 cnf(matrix-4293, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7274), _u7264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7274, tc_HOL_Obool)), _u7276), _u7278))) | ~hBOOL(hAPP(_u7280, _u7264)) | hBOOL(hAPP(hAPP(c_member(_u7274), skolem106(_u7280, _u7278, _u7276, _u7274)), _u7276)) | hBOOL(hAPP(_u7280, skolem107(_u7280, _u7278, _u7276, _u7274))) )).
% 29.00/29.24 cnf(matrix-4294, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7274), _u7264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7274, tc_HOL_Obool)), _u7276), _u7278))) | ~hBOOL(hAPP(_u7280, _u7264)) | hBOOL(hAPP(_u7280, skolem106(_u7280, _u7278, _u7276, _u7274))) | hBOOL(hAPP(hAPP(c_member(_u7274), skolem107(_u7280, _u7278, _u7276, _u7274)), _u7278)) )).
% 29.00/29.24 cnf(matrix-4295, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7274), _u7264), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7274, tc_HOL_Obool)), _u7276), _u7278))) | ~hBOOL(hAPP(_u7280, _u7264)) | hBOOL(hAPP(_u7280, skolem106(_u7280, _u7278, _u7276, _u7274))) | hBOOL(hAPP(_u7280, skolem107(_u7280, _u7278, _u7276, _u7274))) )).
% 29.00/29.24 cnf(matrix-4296, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7275), _u7267), _u7277)) | ~hBOOL(hAPP(_u7281, _u7267)) | hBOOL(hAPP(hAPP(c_member(_u7275), skolem108(_u7281, _u7279, _u7277, _u7275)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7275, tc_HOL_Obool)), _u7277), _u7279))) )).
% 29.00/29.24 cnf(matrix-4297, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7275), _u7267), _u7277)) | ~hBOOL(hAPP(_u7281, _u7267)) | hBOOL(hAPP(_u7281, skolem108(_u7281, _u7279, _u7277, _u7275))) )).
% 29.00/29.24 cnf(matrix-4298, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7275), _u7268), _u7279)) | ~hBOOL(hAPP(_u7281, _u7268)) | hBOOL(hAPP(hAPP(c_member(_u7275), skolem108(_u7281, _u7279, _u7277, _u7275)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7275, tc_HOL_Obool)), _u7277), _u7279))) )).
% 29.00/29.24 cnf(matrix-4299, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7275), _u7268), _u7279)) | ~hBOOL(hAPP(_u7281, _u7268)) | hBOOL(hAPP(_u7281, skolem108(_u7281, _u7279, _u7277, _u7275))) )).
% 29.00/29.24 cnf(matrix-4300, plain, ( hBOOL(hAPP(hAPP(c_member(_u7292), skolem109(_u7298, _u7296, _u7294, _u7292)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7292, tc_HOL_Obool)), _u7294), _u7296))) | ~hBOOL(hAPP(hAPP(c_member(_u7292), _u7283), _u7294)) | hBOOL(hAPP(_u7298, _u7283)) )).
% 29.00/29.24 cnf(matrix-4301, plain, ( hBOOL(hAPP(hAPP(c_member(_u7292), skolem109(_u7298, _u7296, _u7294, _u7292)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7292, tc_HOL_Obool)), _u7294), _u7296))) | ~hBOOL(hAPP(hAPP(c_member(_u7292), _u7284), _u7296)) | hBOOL(hAPP(_u7298, _u7284)) )).
% 29.00/29.24 cnf(matrix-4302, plain, ( ~hBOOL(hAPP(_u7298, skolem109(_u7298, _u7296, _u7294, _u7292))) | ~hBOOL(hAPP(hAPP(c_member(_u7292), _u7283), _u7294)) | hBOOL(hAPP(_u7298, _u7283)) )).
% 29.00/29.24 cnf(matrix-4303, plain, ( ~hBOOL(hAPP(_u7298, skolem109(_u7298, _u7296, _u7294, _u7292))) | ~hBOOL(hAPP(hAPP(c_member(_u7292), _u7284), _u7296)) | hBOOL(hAPP(_u7298, _u7284)) )).
% 29.00/29.24 cnf(matrix-4304, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7293), _u7287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7295), _u7297))) | hBOOL(hAPP(_u7299, _u7287)) | hBOOL(hAPP(hAPP(c_member(_u7293), skolem110(_u7299, _u7297, _u7295, _u7293)), _u7295)) | hBOOL(hAPP(hAPP(c_member(_u7293), skolem111(_u7299, _u7297, _u7295, _u7293)), _u7297)) )).
% 29.00/29.24 cnf(matrix-4305, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7293), _u7287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7295), _u7297))) | hBOOL(hAPP(_u7299, _u7287)) | hBOOL(hAPP(hAPP(c_member(_u7293), skolem110(_u7299, _u7297, _u7295, _u7293)), _u7295)) | ~hBOOL(hAPP(_u7299, skolem111(_u7299, _u7297, _u7295, _u7293))) )).
% 29.00/29.24 cnf(matrix-4306, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7293), _u7287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7295), _u7297))) | hBOOL(hAPP(_u7299, _u7287)) | ~hBOOL(hAPP(_u7299, skolem110(_u7299, _u7297, _u7295, _u7293))) | hBOOL(hAPP(hAPP(c_member(_u7293), skolem111(_u7299, _u7297, _u7295, _u7293)), _u7297)) )).
% 29.00/29.24 cnf(matrix-4307, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7293), _u7287), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7295), _u7297))) | hBOOL(hAPP(_u7299, _u7287)) | ~hBOOL(hAPP(_u7299, skolem110(_u7299, _u7297, _u7295, _u7293))) | ~hBOOL(hAPP(_u7299, skolem111(_u7299, _u7297, _u7295, _u7293))) )).
% 29.00/29.24 cnf(matrix-4308, plain, ( ~class_Lattices_Osemilattice__sup(_u7300) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7300), _u7301), _u7301) = _u7301) )).
% 29.00/29.24 cnf(matrix-4309, plain, ( ~class_Lattices_Osemilattice__sup(_u7302) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7302), _u7303), _u7303) = _u7303) )).
% 29.00/29.24 cnf(matrix-4310, plain, ( ~class_Lattices_Osemilattice__sup(_u7304) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7304), _u7305), _u7306) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7304), _u7306), _u7305)) )).
% 29.00/29.24 cnf(matrix-4311, plain, ( ~class_Lattices_Olattice(_u7307) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7307), _u7308), _u7309) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7307), _u7309), _u7308)) )).
% 29.00/29.24 cnf(matrix-4312, plain, ( ~class_Lattices_Osemilattice__sup(_u7310) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7310), _u7311), _u7312) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7310), _u7312), _u7311)) )).
% 29.00/29.24 cnf(matrix-4313, plain, ( ~class_Lattices_Osemilattice__sup(_u7313) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7313), _u7314), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7313), _u7314), _u7315)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7313), _u7314), _u7315)) )).
% 29.00/29.24 cnf(matrix-4314, plain, ( ~class_Lattices_Olattice(_u7316) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7316), _u7317), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7316), _u7317), _u7318)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7316), _u7317), _u7318)) )).
% 29.00/29.24 cnf(matrix-4315, plain, ( ~class_Lattices_Osemilattice__sup(_u7319) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7319), _u7320), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7319), _u7320), _u7321)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7319), _u7320), _u7321)) )).
% 29.00/29.24 cnf(matrix-4316, plain, ( ~class_Lattices_Osemilattice__sup(_u7322) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7322), _u7323), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7322), _u7324), _u7325)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7322), _u7324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7322), _u7323), _u7325))) )).
% 29.00/29.24 cnf(matrix-4317, plain, ( ~class_Lattices_Olattice(_u7326) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7326), _u7327), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7326), _u7328), _u7329)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7326), _u7328), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7326), _u7327), _u7329))) )).
% 29.00/29.24 cnf(matrix-4318, plain, ( ~class_Lattices_Osemilattice__sup(_u7330) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7330), _u7331), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7330), _u7332), _u7333)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7330), _u7332), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7330), _u7331), _u7333))) )).
% 29.00/29.24 cnf(matrix-4319, plain, ( ~class_Lattices_Osemilattice__sup(_u7334) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7334), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7334), _u7335), _u7336)), _u7337) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7334), _u7335), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7334), _u7336), _u7337))) )).
% 29.00/29.24 cnf(matrix-4320, plain, ( ~class_Lattices_Olattice(_u7338) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7338), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7338), _u7339), _u7340)), _u7341) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7338), _u7339), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7338), _u7340), _u7341))) )).
% 29.00/29.24 cnf(matrix-4321, plain, ( ~class_Lattices_Osemilattice__sup(_u7342) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7342), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7342), _u7343), _u7344)), _u7345) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7342), _u7343), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7342), _u7344), _u7345))) )).
% 29.00/29.24 cnf(matrix-4322, plain, ( ~class_Lattices_Olattice(_u7346) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7347, _u7346)), _u7348), _u7349), _u7350) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7346), hAPP(_u7348, _u7350)), hAPP(_u7349, _u7350))) )).
% 29.00/29.24 cnf(matrix-4323, plain, ( ~class_Lattices_Olattice(_u7351) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7352, _u7351)), _u7353), _u7354), _u7355) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7351), hAPP(_u7353, _u7355)), hAPP(_u7354, _u7355))) )).
% 29.00/29.24 cnf(matrix-4324, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7356, tc_HOL_Obool)), _u7357), hAPP(hAPP(c_Set_Oinsert(_u7356), _u7358), _u7359)) = hAPP(hAPP(c_Set_Oinsert(_u7356), _u7358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7356, tc_HOL_Obool)), _u7357), _u7359))) )).
% 29.00/29.24 cnf(matrix-4325, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7360, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7360), _u7361), _u7362)), _u7363) = hAPP(hAPP(c_Set_Oinsert(_u7360), _u7361), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7360, tc_HOL_Obool)), _u7362), _u7363))) )).
% 29.00/29.24 cnf(matrix-4326, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7368), _u7370), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7368, tc_HOL_Obool)), _u7372), _u7374))) | hBOOL(hAPP(hAPP(c_member(_u7368), _u7370), _u7372)) | hBOOL(hAPP(hAPP(c_member(_u7368), _u7370), _u7374)) )).
% 29.00/29.24 cnf(matrix-4327, plain, ( hBOOL(hAPP(hAPP(c_member(_u7369), _u7371), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7369, tc_HOL_Obool)), _u7373), _u7375))) | ~hBOOL(hAPP(hAPP(c_member(_u7369), _u7371), _u7373)) )).
% 29.00/29.24 cnf(matrix-4328, plain, ( hBOOL(hAPP(hAPP(c_member(_u7369), _u7371), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7369, tc_HOL_Obool)), _u7373), _u7375))) | ~hBOOL(hAPP(hAPP(c_member(_u7369), _u7371), _u7375)) )).
% 29.00/29.24 cnf(matrix-4329, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7376), _u7377), _u7378)) | hBOOL(hAPP(hAPP(c_member(_u7376), _u7377), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7376, tc_HOL_Obool)), _u7378), _u7379))) )).
% 29.00/29.24 cnf(matrix-4330, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7380), _u7381), _u7382)) | hBOOL(hAPP(hAPP(c_member(_u7380), _u7381), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7380, tc_HOL_Obool)), _u7383), _u7382))) )).
% 29.00/29.24 cnf(matrix-4331, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7388, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7388, tc_fun(_u7388, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7388)), _u7390)), hAPP(hAPP(c_COMBC(_u7388, tc_fun(_u7388, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7388)), _u7392)), _u7394)) | hBOOL(hAPP(hAPP(c_member(_u7388), _u7394), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7388, tc_HOL_Obool)), _u7390), _u7392))) )).
% 29.00/29.24 cnf(matrix-4332, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7389), _u7395), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7389, tc_HOL_Obool)), _u7391), _u7393))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7389, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7389, tc_fun(_u7389, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7389)), _u7391)), hAPP(hAPP(c_COMBC(_u7389, tc_fun(_u7389, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7389)), _u7393)), _u7395)) )).
% 29.00/29.24 cnf(matrix-4333, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u7396), _u7397), _u7398) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7396, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7396), _u7397), c_Orderings_Obot__class_Obot(tc_fun(_u7396, tc_HOL_Obool)))), _u7398)) )).
% 29.00/29.24 cnf(matrix-4334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7403, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7403, tc_HOL_Obool)), _u7405), _u7407)), _u7409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7403, tc_HOL_Obool)), _u7405), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7403, tc_HOL_Obool)), _u7407), _u7409))) )).
% 29.00/29.24 cnf(matrix-4335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7404, tc_HOL_Obool)), _u7406), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7404, tc_HOL_Obool)), _u7408), _u7410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7404, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7404, tc_HOL_Obool)), _u7406), _u7408)), _u7410)) )).
% 29.00/29.24 cnf(matrix-4336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7411, tc_HOL_Obool)), _u7412), _u7413)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7411, tc_HOL_Obool)), _u7412), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7411, tc_HOL_Obool)), _u7413), _u7412)) = _u7413) )).
% 29.00/29.24 cnf(matrix-4337, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7414, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7414, tc_HOL_Obool)), _u7415), _u7416)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7414, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7414, tc_HOL_Obool)), _u7415)), _u7416)) )).
% 29.00/29.24 cnf(matrix-4338, 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))))) )).
% 29.00/29.24 cnf(matrix-4339, plain, ( ( c_FunDef_Orp__inv__image(_u7417, _u7418) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))))), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)), tc_fun(tc_fun(_u7418, _u7417), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool)), c_COMBS(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)), tc_fun(tc_fun(_u7418, _u7417), tc_fun(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), tc_fun(tc_prod(_u7417, _u7417), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool))), tc_fun(_u7418, _u7417)), c_Product__Type_OPair(tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool), tc_fun(tc_prod(_u7418, _u7418), tc_HOL_Obool)))), c_Relation_Oinv__image(_u7417, _u7418))))), c_Relation_Oinv__image(_u7417, _u7418)))) )).
% 29.00/29.24 cnf(matrix-4340, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u7431, _u7431)), hAPP(hAPP(c_Product__Type_OPair(_u7431, _u7431), hAPP(_u7435, _u7427)), hAPP(_u7435, _u7429))), _u7433)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7425, _u7425)), hAPP(hAPP(c_Product__Type_OPair(_u7425, _u7425), _u7427), _u7429)), hAPP(hAPP(c_Relation_Oinv__image(_u7431, _u7425), _u7433), _u7435))) )).
% 29.00/29.24 cnf(matrix-4341, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7432, _u7432)), hAPP(hAPP(c_Product__Type_OPair(_u7432, _u7432), hAPP(_u7436, _u7428)), hAPP(_u7436, _u7430))), _u7434)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7426, _u7426)), hAPP(hAPP(c_Product__Type_OPair(_u7426, _u7426), _u7428), _u7430)), hAPP(hAPP(c_Relation_Oinv__image(_u7432, _u7426), _u7434), _u7436))) )).
% 29.00/29.24 cnf(matrix-4342, plain, ( ~c_FunDef_Oreduction__pair(_u7437, _u7438) | c_FunDef_Oreduction__pair(_u7439, hAPP(hAPP(c_FunDef_Orp__inv__image(_u7437, _u7439), _u7438), _u7440)) )).
% 29.00/29.24 cnf(matrix-4343, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7444, _u7445, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7444)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7444), _u7443), _u7446), _u7447)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7444), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u7443, skolem112(_u7447, _u7446, _u7445, _u7444, _u7443)), skolem113(_u7447, _u7446, _u7445, _u7444, _u7443))) )).
% 29.00/29.24 cnf(matrix-4344, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u7444, _u7445, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7444)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7444), _u7443), _u7446), _u7447)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7444), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7444, _u7445, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7444)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7444), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7444), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem113(_u7447, _u7446, _u7445, _u7444, _u7443)))), _u7446), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u7444), hAPP(_u7447, skolem112(_u7447, _u7446, _u7445, _u7444, _u7443))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7444), tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4345, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4346, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7454, tc_fun(_u7456, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7454, tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_fun(_u7456, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7456, tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_fun(_u7456, tc_HOL_Obool)), _u7454), c_COMBC(_u7456, tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7456, tc_prod(_u7454, _u7456)), tc_fun(_u7456, tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), _u7454), hAPP(c_COMBB(tc_prod(_u7454, _u7456), tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool), _u7456), c_member(tc_prod(_u7454, _u7456)))), c_Product__Type_OPair(_u7454, _u7456)))), _u7458)), hAPP(hAPP(c_COMBC(_u7454, tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_fun(_u7456, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7456, tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_fun(_u7456, tc_HOL_Obool)), _u7454), c_COMBC(_u7456, tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7456, tc_prod(_u7454, _u7456)), tc_fun(_u7456, tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool)), _u7454), hAPP(c_COMBB(tc_prod(_u7454, _u7456), tc_fun(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool), tc_HOL_Obool), _u7456), c_member(tc_prod(_u7454, _u7456)))), c_Product__Type_OPair(_u7454, _u7456)))), _u7460)), _u7462), _u7464)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7454, _u7456)), hAPP(hAPP(c_Product__Type_OPair(_u7454, _u7456), _u7462), _u7464)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7454, _u7456), tc_HOL_Obool)), _u7458), _u7460))) )).
% 29.00/29.24 cnf(matrix-4347, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7455, _u7457)), hAPP(hAPP(c_Product__Type_OPair(_u7455, _u7457), _u7463), _u7465)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool)), _u7459), _u7461))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7455, tc_fun(_u7457, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7455, tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_fun(_u7457, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7457, tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_fun(_u7457, tc_HOL_Obool)), _u7455), c_COMBC(_u7457, tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7457, tc_prod(_u7455, _u7457)), tc_fun(_u7457, tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), _u7455), hAPP(c_COMBB(tc_prod(_u7455, _u7457), tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool), _u7457), c_member(tc_prod(_u7455, _u7457)))), c_Product__Type_OPair(_u7455, _u7457)))), _u7459)), hAPP(hAPP(c_COMBC(_u7455, tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_fun(_u7457, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7457, tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_fun(_u7457, tc_HOL_Obool)), _u7455), c_COMBC(_u7457, tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7457, tc_prod(_u7455, _u7457)), tc_fun(_u7457, tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool)), _u7455), hAPP(c_COMBB(tc_prod(_u7455, _u7457), tc_fun(tc_fun(tc_prod(_u7455, _u7457), tc_HOL_Obool), tc_HOL_Obool), _u7457), c_member(tc_prod(_u7455, _u7457)))), c_Product__Type_OPair(_u7455, _u7457)))), _u7461)), _u7463), _u7465)) )).
% 29.00/29.24 cnf(matrix-4348, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 29.00/29.24 cnf(matrix-4349, plain, ( ( c_Wellfounded_Omeasure(_u7466) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u7466), c_Wellfounded_Oless__than)) )).
% 29.00/29.24 cnf(matrix-4350, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool)), _u7468), _u7469)), c_Wellfounded_Omax__ext(_u7467, _u7470))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool)), _u7471), _u7472)), c_Wellfounded_Omax__ext(_u7467, _u7470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7467, tc_HOL_Obool), tc_fun(_u7467, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7467, tc_HOL_Obool)), _u7468), _u7471)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7467, tc_HOL_Obool)), _u7469), _u7472))), c_Wellfounded_Omax__ext(_u7467, _u7470))) )).
% 29.00/29.24 cnf(matrix-4351, plain, ( ~c_Wellfounded_Omax__extp(_u7477, hAPP(hAPP(c_COMBC(_u7477, tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_fun(_u7477, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7477, tc_fun(tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_fun(_u7477, tc_HOL_Obool)), _u7477), c_COMBC(_u7477, tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7477, tc_prod(_u7477, _u7477)), tc_fun(_u7477, tc_fun(tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_HOL_Obool)), _u7477), hAPP(c_COMBB(tc_prod(_u7477, _u7477), tc_fun(tc_fun(tc_prod(_u7477, _u7477), tc_HOL_Obool), tc_HOL_Obool), _u7477), c_member(tc_prod(_u7477, _u7477)))), c_Product__Type_OPair(_u7477, _u7477)))), _u7479), _u7481, _u7483) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7477, tc_HOL_Obool), tc_fun(_u7477, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7477, tc_HOL_Obool), tc_fun(_u7477, tc_HOL_Obool)), _u7481), _u7483)), c_Wellfounded_Omax__ext(_u7477, _u7479))) )).
% 29.00/29.24 cnf(matrix-4352, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u7478, tc_HOL_Obool), tc_fun(_u7478, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u7478, tc_HOL_Obool), tc_fun(_u7478, tc_HOL_Obool)), _u7482), _u7484)), c_Wellfounded_Omax__ext(_u7478, _u7480))) | c_Wellfounded_Omax__extp(_u7478, hAPP(hAPP(c_COMBC(_u7478, tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_fun(_u7478, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7478, tc_fun(tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_fun(_u7478, tc_HOL_Obool)), _u7478), c_COMBC(_u7478, tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7478, tc_prod(_u7478, _u7478)), tc_fun(_u7478, tc_fun(tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_HOL_Obool)), _u7478), hAPP(c_COMBB(tc_prod(_u7478, _u7478), tc_fun(tc_fun(tc_prod(_u7478, _u7478), tc_HOL_Obool), tc_HOL_Obool), _u7478), c_member(tc_prod(_u7478, _u7478)))), c_Product__Type_OPair(_u7478, _u7478)))), _u7480), _u7482, _u7484) )).
% 29.00/29.24 cnf(matrix-4353, plain, ( ~c_Relation_Oirrefl(_u7489, _u7491) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7489, _u7489)), hAPP(hAPP(c_Product__Type_OPair(_u7489, _u7489), _u7485), _u7485)), _u7491)) )).
% 29.00/29.24 cnf(matrix-4354, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u7490, _u7490)), hAPP(hAPP(c_Product__Type_OPair(_u7490, _u7490), skolem114(_u7492, _u7490)), skolem114(_u7492, _u7490))), _u7492)) | c_Relation_Oirrefl(_u7490, _u7492) )).
% 29.00/29.24 cnf(matrix-4355, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7493, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)), _u7494), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7493), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493))), hAPP(hAPP(c_COMBB(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7493)), _u7495)), c_Com_Ocom_OBODY)), _u7496)), _u7497)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7493), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493))), hAPP(hAPP(c_COMBB(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7493, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7493))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7493)), _u7495)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u7496)), _u7497)) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), _u7498), _u7497)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7493, _u7494, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u7493)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u7493), hAPP(_u7495, _u7498)), hAPP(c_Com_Ocom_OBODY, _u7498)), hAPP(_u7496, _u7498))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7493), tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4356, plain, ( ( hAPP(c_Relation_OField(_u7499), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u7499, _u7499)), hAPP(hAPP(c_Product__Type_OPair(_u7499, _u7499), _u7500), _u7501)), _u7502)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7499, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u7499), _u7500), hAPP(hAPP(c_Set_Oinsert(_u7499), _u7501), c_Orderings_Obot__class_Obot(tc_fun(_u7499, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u7499), _u7502))) )).
% 29.00/29.24 cnf(matrix-4357, 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)), _u7505), 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)), _u7507), 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)), _u7505), _u7507)), c_Int_Ointrel)) )).
% 29.00/29.24 cnf(matrix-4358, 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)), _u7506), _u7508)), 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)), _u7506), 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)), _u7508), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 29.00/29.24 cnf(matrix-4359, plain, ( hBOOL(hAPP(hAPP(_u7511, _u7513), _u7514)) | hBOOL(hAPP(hAPP(_u7512, _u7513), _u7514)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7509, tc_fun(_u7510, tc_HOL_Obool))), _u7511), _u7512), _u7513), _u7514)) )).
% 29.00/29.24 cnf(matrix-4360, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7519, tc_fun(_u7520, tc_HOL_Obool))), _u7518), _u7515), _u7516), _u7517)) | ~hBOOL(hAPP(hAPP(_u7515, _u7516), _u7517)) )).
% 29.00/29.24 cnf(matrix-4361, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7519, tc_fun(_u7520, tc_HOL_Obool))), _u7518), _u7515), _u7516), _u7517)) | ~hBOOL(hAPP(hAPP(_u7518, _u7516), _u7517)) )).
% 29.00/29.24 cnf(matrix-4362, plain, ( ( _u7521 != hAPP(_u7522, _u7523)) | ~hBOOL(hAPP(hAPP(c_member(_u7524), _u7523), _u7525)) | hBOOL(hAPP(hAPP(c_member(_u7526), _u7521), hAPP(c_Set_Oimage(_u7524, _u7526, _u7522), _u7525))) )).
% 29.00/29.24 cnf(matrix-4363, plain, ( ( hAPP(c_Relation_OImage(_u7527, _u7528, _u7529), c_Orderings_Obot__class_Obot(tc_fun(_u7527, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7528, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4364, plain, ( ~hBOOL(hAPP(hAPP(_u7530, _u7531), _u7532)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7533, tc_fun(_u7534, tc_HOL_Obool))), _u7530), _u7535), _u7531), _u7532)) )).
% 29.00/29.24 cnf(matrix-4365, plain, ( ~hBOOL(hAPP(hAPP(_u7536, _u7537), _u7538)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7539, tc_fun(_u7540, tc_HOL_Obool))), _u7541), _u7536), _u7537), _u7538)) )).
% 29.00/29.24 cnf(matrix-4366, plain, ( ( hAPP(c_Set_Oimage(_u7542, _u7543, _u7544), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7542, tc_HOL_Obool)), _u7545), _u7546)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7543, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7542, _u7543, _u7544), _u7545)), hAPP(c_Set_Oimage(_u7542, _u7543, _u7544), _u7546))) )).
% 29.00/29.24 cnf(matrix-4367, plain, ( ( hAPP(c_Relation_OImage(_u7547, _u7548, _u7549), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7547, tc_HOL_Obool)), _u7550), _u7551)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7548, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u7547, _u7548, _u7549), _u7550)), hAPP(c_Relation_OImage(_u7547, _u7548, _u7549), _u7551))) )).
% 29.00/29.24 cnf(matrix-4368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7552, tc_HOL_Obool)), _u7553), _u7554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7555, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7552, _u7555, _u7556), _u7553)), hAPP(c_Set_Oimage(_u7552, _u7555, _u7556), _u7554))) )).
% 29.00/29.24 cnf(matrix-4369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7564, tc_HOL_Obool)), _u7566), hAPP(c_Set_Oimage(_u7568, _u7564, _u7570), _u7572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7568, tc_HOL_Obool)), skolem115(_u7572, _u7570, _u7568, _u7566, _u7564)), _u7572)) )).
% 29.00/29.24 cnf(matrix-4370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7564, tc_HOL_Obool)), _u7566), hAPP(c_Set_Oimage(_u7568, _u7564, _u7570), _u7572))) | ( _u7566 = hAPP(c_Set_Oimage(_u7568, _u7564, _u7570), skolem115(_u7572, _u7570, _u7568, _u7566, _u7564))) )).
% 29.00/29.24 cnf(matrix-4371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7569, tc_HOL_Obool)), _u7558), _u7573)) | ( _u7567 != hAPP(c_Set_Oimage(_u7569, _u7565, _u7571), _u7558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7565, tc_HOL_Obool)), _u7567), hAPP(c_Set_Oimage(_u7569, _u7565, _u7571), _u7573))) )).
% 29.00/29.24 cnf(matrix-4372, plain, ( ( hAPP(c_Set_Oimage(_u7574, _u7575, _u7576), hAPP(c_Set_Oimage(_u7577, _u7574, _u7578), _u7579)) = hAPP(c_Set_Oimage(_u7577, _u7575, hAPP(hAPP(c_COMBB(_u7574, _u7575, _u7577), _u7576), _u7578)), _u7579)) )).
% 29.00/29.24 cnf(matrix-4373, plain, ( ( hAPP(c_Set_Oimage(_u7580, _u7580, c_COMBI(_u7580)), _u7581) = _u7581) )).
% 29.00/29.24 cnf(matrix-4374, plain, ( ( hAPP(c_Set_Oimage(_u7582, _u7583, hAPP(c_Fun_Ocomp(_u7584, _u7583, _u7582, _u7585), _u7586)), _u7587) = hAPP(c_Set_Oimage(_u7584, _u7583, _u7585), hAPP(c_Set_Oimage(_u7582, _u7584, _u7586), _u7587))) )).
% 29.00/29.24 cnf(matrix-4375, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7588), _u7589), _u7590)) | ( _u7591 != hAPP(_u7592, _u7589)) | hBOOL(hAPP(hAPP(c_member(_u7593), _u7591), hAPP(c_Set_Oimage(_u7588, _u7593, _u7592), _u7590))) )).
% 29.00/29.24 cnf(matrix-4376, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7594), _u7595), _u7596)) | hBOOL(hAPP(hAPP(c_member(_u7597), hAPP(_u7598, _u7595)), hAPP(c_Set_Oimage(_u7594, _u7597, _u7598), _u7596))) )).
% 29.00/29.24 cnf(matrix-4377, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7606), _u7608), hAPP(c_Set_Oimage(_u7610, _u7606, _u7612), _u7614))) | hBOOL(hAPP(hAPP(c_member(_u7610), skolem116(_u7614, _u7612, _u7610, _u7608)), _u7614)) )).
% 29.00/29.24 cnf(matrix-4378, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7606), _u7608), hAPP(c_Set_Oimage(_u7610, _u7606, _u7612), _u7614))) | ( _u7608 = hAPP(_u7612, skolem116(_u7614, _u7612, _u7610, _u7608))) )).
% 29.00/29.24 cnf(matrix-4379, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7611), _u7600), _u7615)) | ( _u7609 != hAPP(_u7613, _u7600)) | hBOOL(hAPP(hAPP(c_member(_u7607), _u7609), hAPP(c_Set_Oimage(_u7611, _u7607, _u7613), _u7615))) )).
% 29.00/29.24 cnf(matrix-4380, plain, ( ( hAPP(c_Set_Oimage(_u7616, _u7617, _u7618), hAPP(hAPP(c_Set_Oinsert(_u7616), _u7619), _u7620)) = hAPP(hAPP(c_Set_Oinsert(_u7617), hAPP(_u7618, _u7619)), hAPP(c_Set_Oimage(_u7616, _u7617, _u7618), _u7620))) )).
% 29.00/29.24 cnf(matrix-4381, plain, ( ( _u7631 = c_Orderings_Obot__class_Obot(tc_fun(_u7627, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7625, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u7627, _u7625, _u7629), _u7631)) )).
% 29.00/29.24 cnf(matrix-4382, plain, ( ( _u7632 != c_Orderings_Obot__class_Obot(tc_fun(_u7628, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u7626, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u7628, _u7626, _u7630), _u7632)) )).
% 29.00/29.24 cnf(matrix-4383, plain, ( ( hAPP(c_Set_Oimage(_u7633, _u7634, _u7635), c_Orderings_Obot__class_Obot(tc_fun(_u7633, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4384, plain, ( ( hAPP(c_Set_Oimage(_u7640, _u7642, _u7644), _u7646) != c_Orderings_Obot__class_Obot(tc_fun(_u7642, tc_HOL_Obool))) | ( _u7646 = c_Orderings_Obot__class_Obot(tc_fun(_u7640, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4385, plain, ( ( _u7647 != c_Orderings_Obot__class_Obot(tc_fun(_u7641, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u7641, _u7643, _u7645), _u7647) = c_Orderings_Obot__class_Obot(tc_fun(_u7643, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4386, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7648), _u7649), _u7650)) | ( hAPP(hAPP(c_Set_Oinsert(_u7651), hAPP(_u7652, _u7649)), hAPP(c_Set_Oimage(_u7648, _u7651, _u7652), _u7650)) = hAPP(c_Set_Oimage(_u7648, _u7651, _u7652), _u7650)) )).
% 29.00/29.24 cnf(matrix-4387, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7653, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7653, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7654, _u7653, _u7655), _u7656)), hAPP(c_Set_Oimage(_u7654, _u7653, _u7655), _u7657))), hAPP(c_Set_Oimage(_u7654, _u7653, _u7655), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7654, tc_HOL_Obool)), _u7656), _u7657)))) )).
% 29.00/29.24 cnf(matrix-4388, plain, ( ( _u7662 != c_Orderings_Obot__class_Obot(tc_fun(_u7664, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u7664, _u7666, hAPP(c_COMBK(_u7666, _u7664), _u7668)), _u7662) = c_Orderings_Obot__class_Obot(tc_fun(_u7666, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4389, plain, ( ( _u7663 = c_Orderings_Obot__class_Obot(tc_fun(_u7665, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u7665, _u7667, hAPP(c_COMBK(_u7667, _u7665), _u7669)), _u7663) = hAPP(hAPP(c_Set_Oinsert(_u7667), _u7669), c_Orderings_Obot__class_Obot(tc_fun(_u7667, tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4390, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7670, _u7671), tc_HOL_Obool)), _u7672), _u7673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7670, tc_HOL_Obool)), _u7674), _u7675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7671, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u7670, _u7671, _u7672), _u7674)), hAPP(c_Relation_OImage(_u7670, _u7671, _u7673), _u7675))) )).
% 29.00/29.24 cnf(matrix-4391, plain, ( ( hAPP(c_Relation_OImage(_u7676, _u7677, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7676, _u7677), tc_HOL_Obool)), _u7678), _u7679)), _u7680) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7677, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u7676, _u7677, _u7678), _u7680)), hAPP(c_Relation_OImage(_u7676, _u7677, _u7679), _u7680))) )).
% 29.00/29.24 cnf(matrix-4392, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7688), _u7690), hAPP(c_Relation_OImage(_u7692, _u7688, _u7694), _u7696))) | hBOOL(hAPP(hAPP(c_member(_u7692), skolem117(_u7696, _u7694, _u7692, _u7690, _u7688)), _u7696)) )).
% 29.00/29.24 cnf(matrix-4393, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7688), _u7690), hAPP(c_Relation_OImage(_u7692, _u7688, _u7694), _u7696))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7692, _u7688)), hAPP(hAPP(c_Product__Type_OPair(_u7692, _u7688), skolem117(_u7696, _u7694, _u7692, _u7690, _u7688)), _u7690)), _u7694)) )).
% 29.00/29.24 cnf(matrix-4394, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7693), _u7682), _u7697)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7693, _u7689)), hAPP(hAPP(c_Product__Type_OPair(_u7693, _u7689), _u7682), _u7691)), _u7695)) | hBOOL(hAPP(hAPP(c_member(_u7689), _u7691), hAPP(c_Relation_OImage(_u7693, _u7689, _u7695), _u7697))) )).
% 29.00/29.24 cnf(matrix-4395, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7698), _u7699), _u7700)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7698, _u7701)), hAPP(hAPP(c_Product__Type_OPair(_u7698, _u7701), _u7699), _u7702)), _u7703)) | hBOOL(hAPP(hAPP(c_member(_u7701), _u7702), hAPP(c_Relation_OImage(_u7698, _u7701, _u7703), _u7700))) )).
% 29.00/29.24 cnf(matrix-4396, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7704), _u7705), _u7706)) | ( hAPP(c_Set_Oimage(_u7704, _u7707, hAPP(c_COMBK(_u7707, _u7704), _u7708)), _u7706) = hAPP(hAPP(c_Set_Oinsert(_u7707), _u7708), c_Orderings_Obot__class_Obot(tc_fun(_u7707, tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4397, plain, ( ( hAPP(c_Relation_OField(_u7709), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7709, _u7709), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7709, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7710, _u7710), tc_HOL_Obool)), _u7711), _u7712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7710, tc_HOL_Obool)), hAPP(c_Relation_OField(_u7710), _u7711)), hAPP(c_Relation_OField(_u7710), _u7712))) )).
% 29.00/29.24 cnf(matrix-4399, plain, ( ( hAPP(c_Relation_OField(_u7713), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7713, _u7713), tc_HOL_Obool)), _u7714), _u7715)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7713, tc_HOL_Obool)), hAPP(c_Relation_OField(_u7713), _u7714)), hAPP(c_Relation_OField(_u7713), _u7715))) )).
% 29.00/29.24 cnf(matrix-4400, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7721), _u7723), hAPP(c_Relation_OImage(_u7725, _u7721, _u7727), hAPP(hAPP(c_Set_Oinsert(_u7725), _u7729), c_Orderings_Obot__class_Obot(tc_fun(_u7725, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7725, _u7721)), hAPP(hAPP(c_Product__Type_OPair(_u7725, _u7721), _u7729), _u7723)), _u7727)) )).
% 29.00/29.24 cnf(matrix-4401, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7726, _u7722)), hAPP(hAPP(c_Product__Type_OPair(_u7726, _u7722), _u7730), _u7724)), _u7728)) | hBOOL(hAPP(hAPP(c_member(_u7722), _u7724), hAPP(c_Relation_OImage(_u7726, _u7722, _u7728), hAPP(hAPP(c_Set_Oinsert(_u7726), _u7730), c_Orderings_Obot__class_Obot(tc_fun(_u7726, tc_HOL_Obool)))))) )).
% 29.00/29.24 cnf(matrix-4402, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7731, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u7731), tc_HOL_Obool)), _u7732), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7731), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), hAPP(hAPP(c_COMBB(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7731)), _u7733)), c_Com_Ocom_OBODY)), _u7734)), _u7735)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7731), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), hAPP(hAPP(c_COMBB(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7731)), _u7733)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u7734)), _u7735)) | c_Hoare__Mirabelle_Ohoare__derivs(_u7731, _u7732, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u7731), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), hAPP(hAPP(c_COMBB(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u7731, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u7731))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u7731)), _u7733)), c_Com_Ocom_OBODY)), _u7734)), _u7735)) )).
% 29.00/29.24 cnf(matrix-4403, plain, ( ~class_Rings_Oring__1(_u7736) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7736), 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), _u7737), _u7738)), 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(_u7736), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7736), _u7737)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7736), _u7738))) )).
% 29.00/29.24 cnf(matrix-4404, 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)))))) )).
% 29.00/29.24 cnf(matrix-4405, 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), _u7739), _u7740)), 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), _u7741), _u7742)), 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), _u7739), _u7741)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7740), _u7742))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7739), _u7742)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7740), _u7741)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 29.00/29.24 cnf(matrix-4406, 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), _u7747), _u7749)), 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), _u7751), _u7753)), 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), _u7747), _u7753)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7751), _u7749))) )).
% 29.00/29.24 cnf(matrix-4407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7748), _u7754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7752), _u7750))) | 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), _u7748), _u7750)), 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), _u7752), _u7754)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4408, 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), _u7759), _u7761)), 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), _u7763), _u7765)), 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), _u7759), _u7765)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7763), _u7761))) )).
% 29.00/29.24 cnf(matrix-4409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7760), _u7766)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7764), _u7762))) | 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), _u7760), _u7762)), 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), _u7764), _u7766)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4410, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7767, _u7768)), hAPP(hAPP(c_Product__Type_OPair(_u7767, _u7768), _u7769), _u7770)), _u7771)) | hBOOL(hAPP(hAPP(c_member(_u7772), hAPP(hAPP(_u7773, _u7769), _u7770)), hAPP(c_Set_Oimage(tc_prod(_u7767, _u7768), _u7772, hAPP(c_Product__Type_Oprod_Oprod__case(_u7767, _u7768, _u7772), _u7773)), _u7771))) )).
% 29.00/29.24 cnf(matrix-4411, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7774), _u7775) = 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)), _u7774)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7775)))) )).
% 29.00/29.24 cnf(matrix-4412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7778), _u7780)) | 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)), _u7778)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7780))) )).
% 29.00/29.24 cnf(matrix-4413, 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)), _u7779)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7779), _u7781)) )).
% 29.00/29.24 cnf(matrix-4414, 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)), _u7782)) = _u7782) )).
% 29.00/29.24 cnf(matrix-4415, plain, ( ( _u7785 != _u7787) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7785) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7787)) )).
% 29.00/29.24 cnf(matrix-4416, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7786) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7788)) | ( _u7786 = _u7788) )).
% 29.00/29.24 cnf(matrix-4417, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7791), _u7793)) | 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)), _u7791)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7793))) )).
% 29.00/29.24 cnf(matrix-4418, 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)), _u7792)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7792), _u7794)) )).
% 29.00/29.24 cnf(matrix-4419, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7797), _u7799)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7797)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7799))) )).
% 29.00/29.24 cnf(matrix-4420, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7798)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7800))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u7798), _u7800)) )).
% 29.00/29.24 cnf(matrix-4421, 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)))) )).
% 29.00/29.24 cnf(matrix-4422, 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)))) )).
% 29.00/29.24 cnf(matrix-4423, 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), _u7801), _u7802)), 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), _u7802), _u7801)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 29.00/29.24 cnf(matrix-4424, 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)))))) )).
% 29.00/29.24 cnf(matrix-4425, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7803) = 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), _u7803), 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)))))) )).
% 29.00/29.24 cnf(matrix-4426, 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), _u7804), _u7805)), 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), _u7806), _u7807)), 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), _u7804), _u7806)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7805), _u7807))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 29.00/29.24 cnf(matrix-4427, 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), _u7808), _u7809)), 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), _u7808), _u7809)) )).
% 29.00/29.24 cnf(matrix-4428, plain, ( ( _u7812 = 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), skolem118(_u7812)), skolem119(_u7812))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 29.00/29.24 cnf(matrix-4429, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7819), _u7821), _u7823)) | ( hAPP(c_Set_Oimage(_u7819, _u7825, c_Fun_Ofun__upd(_u7819, _u7825, _u7827, _u7821, _u7829)), _u7823) = hAPP(hAPP(c_Set_Oinsert(_u7825), _u7829), hAPP(c_Set_Oimage(_u7819, _u7825, _u7827), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7819, tc_HOL_Obool)), _u7823), hAPP(hAPP(c_Set_Oinsert(_u7819), _u7821), c_Orderings_Obot__class_Obot(tc_fun(_u7819, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4430, plain, ( hBOOL(hAPP(hAPP(c_member(_u7820), _u7822), _u7824)) | ( hAPP(c_Set_Oimage(_u7820, _u7826, c_Fun_Ofun__upd(_u7820, _u7826, _u7828, _u7822, _u7830)), _u7824) = hAPP(c_Set_Oimage(_u7820, _u7826, _u7828), _u7824)) )).
% 29.00/29.24 cnf(matrix-4431, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7832), _u7833), hAPP(c_Relation_OImage(_u7834, _u7832, _u7835), _u7836))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7834, _u7832)), hAPP(hAPP(c_Product__Type_OPair(_u7834, _u7832), skolem120(_u7836, _u7835, _u7834, _u7833, _u7832)), _u7833)), _u7835)) )).
% 29.00/29.24 cnf(matrix-4432, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7832), _u7833), hAPP(c_Relation_OImage(_u7834, _u7832, _u7835), _u7836))) | hBOOL(hAPP(hAPP(c_member(_u7834), skolem120(_u7836, _u7835, _u7834, _u7833, _u7832)), _u7836)) )).
% 29.00/29.24 cnf(matrix-4433, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7841, tc_fun(_u7841, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7841, tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_fun(_u7841, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7841, tc_fun(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_fun(_u7841, tc_HOL_Obool)), _u7841), c_COMBC(_u7841, tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7841, tc_prod(_u7841, _u7841)), tc_fun(_u7841, tc_fun(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_HOL_Obool)), _u7841), hAPP(c_COMBB(tc_prod(_u7841, _u7841), tc_fun(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool), tc_HOL_Obool), _u7841), c_member(tc_prod(_u7841, _u7841)))), c_Product__Type_OPair(_u7841, _u7841)))), _u7843)), c_fequal), _u7845), _u7847)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7841, _u7841)), hAPP(hAPP(c_Product__Type_OPair(_u7841, _u7841), _u7845), _u7847)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7841, _u7841), tc_HOL_Obool)), _u7843), c_Relation_OId(_u7841)))) )).
% 29.00/29.24 cnf(matrix-4434, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7842, _u7842)), hAPP(hAPP(c_Product__Type_OPair(_u7842, _u7842), _u7846), _u7848)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool)), _u7844), c_Relation_OId(_u7842)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7842, tc_fun(_u7842, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7842, tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_fun(_u7842, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7842, tc_fun(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_fun(_u7842, tc_HOL_Obool)), _u7842), c_COMBC(_u7842, tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7842, tc_prod(_u7842, _u7842)), tc_fun(_u7842, tc_fun(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_HOL_Obool)), _u7842), hAPP(c_COMBB(tc_prod(_u7842, _u7842), tc_fun(tc_fun(tc_prod(_u7842, _u7842), tc_HOL_Obool), tc_HOL_Obool), _u7842), c_member(tc_prod(_u7842, _u7842)))), c_Product__Type_OPair(_u7842, _u7842)))), _u7844)), c_fequal), _u7846), _u7848)) )).
% 29.00/29.24 cnf(matrix-4435, plain, ( ( c_Fun_Ofun__upd(_u7849, _u7850, _u7851, _u7852, hAPP(_u7851, _u7852)) = _u7851) )).
% 29.00/29.24 cnf(matrix-4436, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u7853, _u7853)), hAPP(hAPP(c_Product__Type_OPair(_u7853, _u7853), _u7854), _u7854)), c_Relation_OId(_u7853))) )).
% 29.00/29.24 cnf(matrix-4437, plain, ( ( hAPP(_u7864, _u7866) = _u7868) | ( c_Fun_Ofun__upd(_u7860, _u7862, _u7864, _u7866, _u7868) != _u7864) )).
% 29.00/29.24 cnf(matrix-4438, plain, ( ( hAPP(_u7865, _u7867) != _u7869) | ( c_Fun_Ofun__upd(_u7861, _u7863, _u7865, _u7867, _u7869) = _u7865) )).
% 29.00/29.24 cnf(matrix-4439, plain, ( ( c_Fun_Ofun__upd(_u7870, _u7871, c_Fun_Ofun__upd(_u7870, _u7871, _u7872, _u7873, _u7874), _u7873, _u7875) = c_Fun_Ofun__upd(_u7870, _u7871, _u7872, _u7873, _u7875)) )).
% 29.00/29.24 cnf(matrix-4440, plain, ( ( hAPP(c_Fun_Ofun__upd(_u7876, _u7877, _u7878, _u7879, _u7880), _u7879) = _u7880) )).
% 29.00/29.24 cnf(matrix-4441, plain, ( ( _u7887 != _u7889) | ( hAPP(c_Fun_Ofun__upd(_u7891, _u7893, _u7895, _u7889, _u7897), _u7887) = _u7897) )).
% 29.00/29.24 cnf(matrix-4442, plain, ( ( _u7888 = _u7890) | ( hAPP(c_Fun_Ofun__upd(_u7892, _u7894, _u7896, _u7890, _u7898), _u7888) = hAPP(_u7896, _u7888)) )).
% 29.00/29.24 cnf(matrix-4443, plain, ( ( _u7899 = _u7900) | ( c_Fun_Ofun__upd(_u7901, _u7902, c_Fun_Ofun__upd(_u7901, _u7902, _u7903, _u7899, _u7904), _u7900, _u7905) = c_Fun_Ofun__upd(_u7901, _u7902, c_Fun_Ofun__upd(_u7901, _u7902, _u7903, _u7900, _u7905), _u7899, _u7904)) )).
% 29.00/29.24 cnf(matrix-4444, plain, ( ( _u7906 = _u7907) | ( hAPP(c_Fun_Ofun__upd(_u7908, _u7909, _u7910, _u7907, _u7911), _u7906) = hAPP(_u7910, _u7906)) )).
% 29.00/29.24 cnf(matrix-4445, plain, ( ( hAPP(_u7912, _u7913) != _u7914) | ( c_Fun_Ofun__upd(_u7915, _u7916, _u7912, _u7913, _u7914) = _u7912) )).
% 29.00/29.24 cnf(matrix-4446, plain, ( ( _u7923 != _u7925) | ( hAPP(c_Fun_Ofun__upd(_u7927, _u7929, _u7931, _u7925, _u7933), _u7923) = _u7933) )).
% 29.00/29.24 cnf(matrix-4447, plain, ( ( _u7924 = _u7926) | ( hAPP(c_Fun_Ofun__upd(_u7928, _u7930, _u7932, _u7926, _u7934), _u7924) = hAPP(_u7932, _u7924)) )).
% 29.00/29.24 cnf(matrix-4448, plain, ( ( hAPP(c_Fun_Ocomp(_u7935, _u7936, _u7937, _u7938), c_Fun_Ofun__upd(_u7937, _u7935, _u7939, _u7940, _u7941)) = c_Fun_Ofun__upd(_u7937, _u7936, hAPP(c_Fun_Ocomp(_u7935, _u7936, _u7937, _u7938), _u7939), _u7940, hAPP(_u7938, _u7941))) )).
% 29.00/29.24 cnf(matrix-4449, plain, ( ( hAPP(c_Relation_OImage(_u7942, _u7942, c_Relation_OId(_u7942)), _u7943) = _u7943) )).
% 29.00/29.24 cnf(matrix-4450, plain, ( ( _u7949 = _u7951) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7947, _u7947)), hAPP(hAPP(c_Product__Type_OPair(_u7947, _u7947), _u7949), _u7951)), c_Relation_OId(_u7947))) )).
% 29.00/29.24 cnf(matrix-4451, plain, ( ( _u7950 != _u7952) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7948, _u7948)), hAPP(hAPP(c_Product__Type_OPair(_u7948, _u7948), _u7950), _u7952)), c_Relation_OId(_u7948))) )).
% 29.00/29.24 cnf(matrix-4452, plain, ( c_Relation_Oirrefl(_u7953, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u7953, _u7953), tc_HOL_Obool)), _u7954), c_Relation_OId(_u7953))) )).
% 29.00/29.24 cnf(matrix-4453, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u7955, _u7955), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7956) = c_Relation_OId(_u7955)) )).
% 29.00/29.24 cnf(matrix-4454, 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)))) )).
% 29.00/29.24 cnf(matrix-4455, plain, ( ~c_Nat__Transfer_Onat__set(_u7957) | ~c_Nat__Transfer_Onat__set(_u7958) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7957), _u7958) = 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), _u7957)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7958)))) )).
% 29.00/29.24 cnf(matrix-4456, plain, ( ~c_Nat__Transfer_Onat__set(_u7959) | ~c_Nat__Transfer_Onat__set(_u7960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7959), _u7960)) | 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), _u7959)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7960))) )).
% 29.00/29.24 cnf(matrix-4457, plain, ( ~c_Nat__Transfer_Onat__set(_u7959) | ~c_Nat__Transfer_Onat__set(_u7960) | ~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), _u7959)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7960))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7959), _u7960)) )).
% 29.00/29.24 cnf(matrix-4458, plain, ( ~c_Nat__Transfer_Onat__set(_u7961) | ~c_Nat__Transfer_Onat__set(_u7962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7961), _u7962)) | 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), _u7961)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7962))) )).
% 29.00/29.24 cnf(matrix-4459, plain, ( ~c_Nat__Transfer_Onat__set(_u7961) | ~c_Nat__Transfer_Onat__set(_u7962) | ~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), _u7961)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7962))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7961), _u7962)) )).
% 29.00/29.24 cnf(matrix-4460, plain, ( ~c_Nat__Transfer_Ois__nat(_u7963) | ~c_Nat__Transfer_Onat__set(_u7964) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7963), _u7964)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7963)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7964))) )).
% 29.00/29.24 cnf(matrix-4461, plain, ( ~c_Nat__Transfer_Ois__nat(_u7963) | ~c_Nat__Transfer_Onat__set(_u7964) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7963)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7964))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7963), _u7964)) )).
% 29.00/29.24 cnf(matrix-4462, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4463, plain, ( ~c_Nat__Transfer_Onat__set(_u7965) | ~c_Nat__Transfer_Onat__set(_u7966) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7965), _u7966)) )).
% 29.00/29.24 cnf(matrix-4464, plain, ( ~c_Nat__Transfer_Onat__set(_u7970) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7967), _u7970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7967)) )).
% 29.00/29.24 cnf(matrix-4465, plain, ( c_Nat__Transfer_Onat__set(_u7971) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem121(_u7971)), _u7971)) )).
% 29.00/29.24 cnf(matrix-4466, plain, ( c_Nat__Transfer_Onat__set(_u7971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u7971))) )).
% 29.00/29.24 cnf(matrix-4467, 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)), _u7972)) )).
% 29.00/29.24 cnf(matrix-4468, plain, ( ~c_Nat__Transfer_Onat__set(_u7973) | ~c_Nat__Transfer_Onat__set(_u7974) | ( _u7973 != _u7974) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7973) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7974)) )).
% 29.00/29.24 cnf(matrix-4469, plain, ( ~c_Nat__Transfer_Onat__set(_u7973) | ~c_Nat__Transfer_Onat__set(_u7974) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7973) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7974)) | ( _u7973 = _u7974) )).
% 29.00/29.24 cnf(matrix-4470, plain, ( ~c_Nat__Transfer_Onat__set(_u7975) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7976), _u7975)) | c_Nat__Transfer_Ois__nat(_u7976) )).
% 29.00/29.24 cnf(matrix-4471, plain, ( ~c_Nat__Transfer_Onat__set(_u7977) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7978), _u7977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7978)) )).
% 29.00/29.24 cnf(matrix-4472, plain, ( ~c_Nat__Transfer_Onat__set(_u7979) | ( 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), _u7979)) = _u7979) )).
% 29.00/29.24 cnf(matrix-4473, plain, ( ~c_Relation_Ototal__on(_u7983, _u7985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u7983, _u7983), tc_HOL_Obool)), _u7987), c_Relation_OId(_u7983))) | c_Relation_Ototal__on(_u7983, _u7985, _u7987) )).
% 29.00/29.24 cnf(matrix-4474, plain, ( ~c_Relation_Ototal__on(_u7984, _u7986, _u7988) | c_Relation_Ototal__on(_u7984, _u7986, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u7984, _u7984), tc_HOL_Obool)), _u7988), c_Relation_OId(_u7984))) )).
% 29.00/29.24 cnf(matrix-4475, plain, ( ~c_Equiv__Relations_Oequiv(_u7989, _u7990, _u7991) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7989, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u7989, _u7989, _u7991), hAPP(hAPP(c_Set_Oinsert(_u7989), _u7992), c_Orderings_Obot__class_Obot(tc_fun(_u7989, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u7989, _u7989, _u7991), hAPP(hAPP(c_Set_Oinsert(_u7989), _u7993), c_Orderings_Obot__class_Obot(tc_fun(_u7989, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u7989), _u7992), _u7990)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7989, _u7989)), hAPP(hAPP(c_Product__Type_OPair(_u7989, _u7989), _u7993), _u7992)), _u7991)) )).
% 29.00/29.24 cnf(matrix-4476, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7997, hAPP(hAPP(c_COMBC(_u7997, tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_fun(_u7997, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7997, tc_fun(tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_fun(_u7997, tc_HOL_Obool)), _u7997), c_COMBC(_u7997, tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7997, tc_prod(_u7997, _u7997)), tc_fun(_u7997, tc_fun(tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_HOL_Obool)), _u7997), hAPP(c_COMBB(tc_prod(_u7997, _u7997), tc_fun(tc_fun(tc_prod(_u7997, _u7997), tc_HOL_Obool), tc_HOL_Obool), _u7997), c_member(tc_prod(_u7997, _u7997)))), c_Product__Type_OPair(_u7997, _u7997)))), _u7999)), _u8001)) | hBOOL(hAPP(hAPP(c_member(_u7997), _u8001), c_Wellfounded_Oacc(_u7997, _u7999))) )).
% 29.00/29.24 cnf(matrix-4477, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7998), _u8002), c_Wellfounded_Oacc(_u7998, _u8000))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7998, hAPP(hAPP(c_COMBC(_u7998, tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_fun(_u7998, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7998, tc_fun(tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_fun(_u7998, tc_HOL_Obool)), _u7998), c_COMBC(_u7998, tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7998, tc_prod(_u7998, _u7998)), tc_fun(_u7998, tc_fun(tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_HOL_Obool)), _u7998), hAPP(c_COMBB(tc_prod(_u7998, _u7998), tc_fun(tc_fun(tc_prod(_u7998, _u7998), tc_HOL_Obool), tc_HOL_Obool), _u7998), c_member(tc_prod(_u7998, _u7998)))), c_Product__Type_OPair(_u7998, _u7998)))), _u8000)), _u8002)) )).
% 29.00/29.24 cnf(matrix-4478, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8003)) | 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))), _u8003)), c_FunDef_Omax__weak)) )).
% 29.00/29.24 cnf(matrix-4479, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u8004, _u8004)), _u8005)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8004), hAPP(c_Relation_OField(_u8004), _u8005))) )).
% 29.00/29.24 cnf(matrix-4480, plain, ( c_Relation_Ototal__on(_u8006, c_Orderings_Obot__class_Obot(tc_fun(_u8006, tc_HOL_Obool)), _u8007) )).
% 29.00/29.24 cnf(matrix-4481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u8008, _u8008), tc_HOL_Obool)), _u8009), _u8010)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8008, tc_HOL_Obool)), c_Wellfounded_Oacc(_u8008, _u8010)), c_Wellfounded_Oacc(_u8008, _u8009))) )).
% 29.00/29.24 cnf(matrix-4482, plain, ( ~c_Equiv__Relations_Oequiv(_u8011, _u8012, _u8013) | ~hBOOL(hAPP(hAPP(c_member(_u8011), _u8014), _u8012)) | hBOOL(hAPP(hAPP(c_member(_u8011), _u8014), hAPP(c_Relation_OImage(_u8011, _u8011, _u8013), hAPP(hAPP(c_Set_Oinsert(_u8011), _u8014), c_Orderings_Obot__class_Obot(tc_fun(_u8011, tc_HOL_Obool)))))) )).
% 29.00/29.24 cnf(matrix-4483, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8015), _u8016), c_Wellfounded_Oacc(_u8015, _u8017))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8015, _u8015)), hAPP(hAPP(c_Product__Type_OPair(_u8015, _u8015), _u8018), _u8016)), _u8017)) | hBOOL(hAPP(hAPP(c_member(_u8015), _u8018), c_Wellfounded_Oacc(_u8015, _u8017))) )).
% 29.00/29.24 cnf(matrix-4484, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8024), _u8026), c_Wellfounded_Oacc(_u8024, _u8028))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8024, _u8024)), hAPP(hAPP(c_Product__Type_OPair(_u8024, _u8024), _u8019), _u8026)), _u8028)) | hBOOL(hAPP(hAPP(c_member(_u8024), _u8019), c_Wellfounded_Oacc(_u8024, _u8028))) )).
% 29.00/29.24 cnf(matrix-4485, plain, ( hBOOL(hAPP(hAPP(c_member(_u8025), _u8027), c_Wellfounded_Oacc(_u8025, _u8029))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8025, _u8025)), hAPP(hAPP(c_Product__Type_OPair(_u8025, _u8025), skolem122(_u8029, _u8027, _u8025)), _u8027)), _u8029)) )).
% 29.00/29.24 cnf(matrix-4486, plain, ( hBOOL(hAPP(hAPP(c_member(_u8025), _u8027), c_Wellfounded_Oacc(_u8025, _u8029))) | ~hBOOL(hAPP(hAPP(c_member(_u8025), skolem122(_u8029, _u8027, _u8025)), c_Wellfounded_Oacc(_u8025, _u8029))) )).
% 29.00/29.24 cnf(matrix-4487, plain, ( ~c_Equiv__Relations_Oequiv(_u8030, _u8031, _u8032) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8030, _u8030)), hAPP(hAPP(c_Product__Type_OPair(_u8030, _u8030), _u8033), _u8034)), _u8032)) | ( hAPP(c_Relation_OImage(_u8030, _u8030, _u8032), hAPP(hAPP(c_Set_Oinsert(_u8030), _u8033), c_Orderings_Obot__class_Obot(tc_fun(_u8030, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8030, _u8030, _u8032), hAPP(hAPP(c_Set_Oinsert(_u8030), _u8034), c_Orderings_Obot__class_Obot(tc_fun(_u8030, tc_HOL_Obool))))) )).
% 29.00/29.24 cnf(matrix-4488, plain, ( ~c_Relation_Ototal__on(_u8042, _u8044, _u8046) | ~hBOOL(hAPP(hAPP(c_member(_u8042), _u8036), _u8044)) | ~hBOOL(hAPP(hAPP(c_member(_u8042), _u8035), _u8044)) | ( _u8036 = _u8035) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8042, _u8042)), hAPP(hAPP(c_Product__Type_OPair(_u8042, _u8042), _u8036), _u8035)), _u8046)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8042, _u8042)), hAPP(hAPP(c_Product__Type_OPair(_u8042, _u8042), _u8035), _u8036)), _u8046)) )).
% 29.00/29.24 cnf(matrix-4489, plain, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | hBOOL(hAPP(hAPP(c_member(_u8043), skolem123(_u8047, _u8045, _u8043)), _u8045)) )).
% 29.00/29.24 cnf(matrix-4490, plain, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | hBOOL(hAPP(hAPP(c_member(_u8043), skolem124(_u8047, _u8045, _u8043)), _u8045)) )).
% 29.00/29.24 cnf(matrix-4491, plain, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | ( skolem123(_u8047, _u8045, _u8043) != skolem124(_u8047, _u8045, _u8043)) )).
% 29.00/29.24 cnf(matrix-4492, plain, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8043, _u8043)), hAPP(hAPP(c_Product__Type_OPair(_u8043, _u8043), skolem123(_u8047, _u8045, _u8043)), skolem124(_u8047, _u8045, _u8043))), _u8047)) )).
% 29.00/29.24 cnf(matrix-4493, plain, ( c_Relation_Ototal__on(_u8043, _u8045, _u8047) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8043, _u8043)), hAPP(hAPP(c_Product__Type_OPair(_u8043, _u8043), skolem124(_u8047, _u8045, _u8043)), skolem123(_u8047, _u8045, _u8043))), _u8047)) )).
% 29.00/29.24 cnf(matrix-4494, plain, ( ~c_Equiv__Relations_Oequiv(_u8048, _u8049, _u8050) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8048, _u8048)), hAPP(hAPP(c_Product__Type_OPair(_u8048, _u8048), _u8051), _u8052)), _u8050)) | ( hAPP(c_Relation_OImage(_u8048, _u8048, _u8050), hAPP(hAPP(c_Set_Oinsert(_u8048), _u8051), c_Orderings_Obot__class_Obot(tc_fun(_u8048, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8048, _u8048, _u8050), hAPP(hAPP(c_Set_Oinsert(_u8048), _u8052), c_Orderings_Obot__class_Obot(tc_fun(_u8048, tc_HOL_Obool))))) )).
% 29.00/29.24 cnf(matrix-4495, plain, ( ~c_Equiv__Relations_Oequiv(_u8048, _u8049, _u8050) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8048, _u8048)), hAPP(hAPP(c_Product__Type_OPair(_u8048, _u8048), _u8051), _u8052)), _u8050)) | hBOOL(hAPP(hAPP(c_member(_u8048), _u8051), _u8049)) )).
% 29.00/29.24 cnf(matrix-4496, plain, ( ~c_Equiv__Relations_Oequiv(_u8048, _u8049, _u8050) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8048, _u8048)), hAPP(hAPP(c_Product__Type_OPair(_u8048, _u8048), _u8051), _u8052)), _u8050)) | hBOOL(hAPP(hAPP(c_member(_u8048), _u8052), _u8049)) )).
% 29.00/29.24 cnf(matrix-4497, plain, ( ~c_Equiv__Relations_Oequiv(_u8048, _u8049, _u8050) | ( hAPP(c_Relation_OImage(_u8048, _u8048, _u8050), hAPP(hAPP(c_Set_Oinsert(_u8048), _u8051), c_Orderings_Obot__class_Obot(tc_fun(_u8048, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8048, _u8048, _u8050), hAPP(hAPP(c_Set_Oinsert(_u8048), _u8052), c_Orderings_Obot__class_Obot(tc_fun(_u8048, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u8048), _u8051), _u8049)) | ~hBOOL(hAPP(hAPP(c_member(_u8048), _u8052), _u8049)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8048, _u8048)), hAPP(hAPP(c_Product__Type_OPair(_u8048, _u8048), _u8051), _u8052)), _u8050)) )).
% 29.00/29.24 cnf(matrix-4498, plain, ( ~c_Equiv__Relations_Oequiv(_u8053, _u8054, _u8055) | ~hBOOL(hAPP(hAPP(c_member(_u8053), _u8056), _u8054)) | ~hBOOL(hAPP(hAPP(c_member(_u8053), _u8057), _u8054)) | ( hAPP(c_Relation_OImage(_u8053, _u8053, _u8055), hAPP(hAPP(c_Set_Oinsert(_u8053), _u8056), c_Orderings_Obot__class_Obot(tc_fun(_u8053, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8053, _u8053, _u8055), hAPP(hAPP(c_Set_Oinsert(_u8053), _u8057), c_Orderings_Obot__class_Obot(tc_fun(_u8053, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8053, _u8053)), hAPP(hAPP(c_Product__Type_OPair(_u8053, _u8053), _u8056), _u8057)), _u8055)) )).
% 29.00/29.24 cnf(matrix-4499, plain, ( ~c_Equiv__Relations_Oequiv(_u8053, _u8054, _u8055) | ~hBOOL(hAPP(hAPP(c_member(_u8053), _u8056), _u8054)) | ~hBOOL(hAPP(hAPP(c_member(_u8053), _u8057), _u8054)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8053, _u8053)), hAPP(hAPP(c_Product__Type_OPair(_u8053, _u8053), _u8056), _u8057)), _u8055)) | ( hAPP(c_Relation_OImage(_u8053, _u8053, _u8055), hAPP(hAPP(c_Set_Oinsert(_u8053), _u8056), c_Orderings_Obot__class_Obot(tc_fun(_u8053, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u8053, _u8053, _u8055), hAPP(hAPP(c_Set_Oinsert(_u8053), _u8057), c_Orderings_Obot__class_Obot(tc_fun(_u8053, tc_HOL_Obool))))) )).
% 29.00/29.24 cnf(matrix-4500, plain, ( ( hAPP(c_Relation_OImage(_u8058, _u8058, _u8059), hAPP(hAPP(c_Set_Oinsert(_u8058), _u8060), c_Orderings_Obot__class_Obot(tc_fun(_u8058, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u8058, _u8058, _u8059), hAPP(hAPP(c_Set_Oinsert(_u8058), _u8061), c_Orderings_Obot__class_Obot(tc_fun(_u8058, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u8058, _u8062, _u8059) | ~hBOOL(hAPP(hAPP(c_member(_u8058), _u8061), _u8062)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8058, _u8058)), hAPP(hAPP(c_Product__Type_OPair(_u8058, _u8058), _u8060), _u8061)), _u8059)) )).
% 29.00/29.24 cnf(matrix-4501, plain, ( ~c_Equiv__Relations_Oequiv(_u8063, _u8064, _u8065) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8063, _u8063)), hAPP(hAPP(c_Product__Type_OPair(_u8063, _u8063), _u8066), _u8067)), _u8065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8063, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8063, _u8063, _u8065), hAPP(hAPP(c_Set_Oinsert(_u8063), _u8066), c_Orderings_Obot__class_Obot(tc_fun(_u8063, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8063, _u8063, _u8065), hAPP(hAPP(c_Set_Oinsert(_u8063), _u8067), c_Orderings_Obot__class_Obot(tc_fun(_u8063, tc_HOL_Obool)))))) )).
% 29.00/29.24 cnf(matrix-4502, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u8068)) | ( _u8068 = 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))), _u8068)), c_FunDef_Omax__strict)) )).
% 29.00/29.24 cnf(matrix-4503, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8069), _u8070)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8069), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8069, tc_HOL_Obool)), _u8070), _u8071))) )).
% 29.00/29.24 cnf(matrix-4504, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8072), _u8073)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8074), hAPP(c_Set_Oimage(_u8072, _u8074, _u8075), _u8073))) )).
% 29.00/29.24 cnf(matrix-4505, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8076), _u8077)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8076), hAPP(hAPP(c_Set_Oinsert(_u8076), _u8078), _u8077))) )).
% 29.00/29.24 cnf(matrix-4506, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8079), c_Orderings_Obot__class_Obot(tc_fun(_u8079, tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4507, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8081)) | 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)), _u8081))) )).
% 29.00/29.24 cnf(matrix-4508, 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)), _u8082))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8082)) )).
% 29.00/29.24 cnf(matrix-4509, plain, ( ~c_Nat__Transfer_Onat__set(_u8083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8083)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8083))) )).
% 29.00/29.24 cnf(matrix-4510, plain, ( ~c_Nat__Transfer_Onat__set(_u8083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8083))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u8083)) )).
% 29.00/29.24 cnf(matrix-4511, plain, ( ~class_Finite__Set_Ofinite(_u8084) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8084), _u8085)) )).
% 29.00/29.24 cnf(matrix-4512, plain, ( ~class_Finite__Set_Ofinite(_u8086) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8086), _u8087)) )).
% 29.00/29.24 cnf(matrix-4513, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8088), c_Orderings_Obot__class_Obot(tc_fun(_u8088, tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4514, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8092), hAPP(hAPP(c_Set_Oinsert(_u8092), _u8094), _u8096))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8092), _u8096)) )).
% 29.00/29.24 cnf(matrix-4515, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8093), _u8097)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8093), hAPP(hAPP(c_Set_Oinsert(_u8093), _u8095), _u8097))) )).
% 29.00/29.24 cnf(matrix-4516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8098, tc_HOL_Obool)), _u8099), _u8100)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8098), _u8100)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8098), _u8099)) )).
% 29.00/29.24 cnf(matrix-4517, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8101), _u8102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8101, tc_HOL_Obool)), _u8103), _u8102)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8101), _u8103)) )).
% 29.00/29.24 cnf(matrix-4518, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8104), _u8105)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8104), _u8106)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8104), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8104, tc_HOL_Obool)), _u8105), _u8106))) )).
% 29.00/29.24 cnf(matrix-4519, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8110), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8110, tc_HOL_Obool)), _u8112), _u8114))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8110), _u8112)) )).
% 29.00/29.24 cnf(matrix-4520, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8110), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8110, tc_HOL_Obool)), _u8112), _u8114))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8110), _u8114)) )).
% 29.00/29.24 cnf(matrix-4521, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8111), _u8113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8111), _u8115)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8111), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8111, tc_HOL_Obool)), _u8113), _u8115))) )).
% 29.00/29.24 cnf(matrix-4522, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), _u8117)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8116, tc_HOL_Obool)), _u8118), _u8117))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), _u8118)) )).
% 29.00/29.24 cnf(matrix-4523, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), _u8117)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), _u8118)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8116), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8116, tc_HOL_Obool)), _u8118), _u8117))) )).
% 29.00/29.24 cnf(matrix-4524, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8119), _u8120)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8121, tc_HOL_Obool)), _u8122), hAPP(c_Set_Oimage(_u8119, _u8121, _u8123), _u8120))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8121), _u8122)) )).
% 29.00/29.24 cnf(matrix-4525, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8128), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8128, tc_HOL_Obool)), _u8130), hAPP(hAPP(c_Set_Oinsert(_u8128), _u8132), _u8134)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8128), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8128, tc_HOL_Obool)), _u8130), _u8134))) )).
% 29.00/29.24 cnf(matrix-4526, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8129, tc_HOL_Obool)), _u8131), _u8135))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8129), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8129, tc_HOL_Obool)), _u8131), hAPP(hAPP(c_Set_Oinsert(_u8129), _u8133), _u8135)))) )).
% 29.00/29.24 cnf(matrix-4527, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8139, tc_HOL_Obool), tc_fun(_u8139, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8139, tc_HOL_Obool), tc_fun(_u8139, tc_HOL_Obool)), _u8141), _u8143)), c_Wellfounded_Ofinite__psubset(_u8139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8139, tc_HOL_Obool)), _u8141), _u8143)) )).
% 29.00/29.24 cnf(matrix-4528, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8139, tc_HOL_Obool), tc_fun(_u8139, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8139, tc_HOL_Obool), tc_fun(_u8139, tc_HOL_Obool)), _u8141), _u8143)), c_Wellfounded_Ofinite__psubset(_u8139))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8139), _u8143)) )).
% 29.00/29.24 cnf(matrix-4529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8140, tc_HOL_Obool)), _u8142), _u8144)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8140), _u8144)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8140, tc_HOL_Obool), tc_fun(_u8140, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8140, tc_HOL_Obool), tc_fun(_u8140, tc_HOL_Obool)), _u8142), _u8144)), c_Wellfounded_Ofinite__psubset(_u8140))) )).
% 29.00/29.24 cnf(matrix-4530, plain, ( ~c_Finite__Set_Ofolding(_u8145, _u8146, _u8147, _u8148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8145), _u8149)) | ~hBOOL(hAPP(hAPP(c_member(_u8145), _u8150), _u8149)) | ( hAPP(_u8148, _u8149) = hAPP(c_Fun_Ocomp(_u8146, _u8146, _u8146, hAPP(_u8148, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8145, tc_HOL_Obool)), _u8149), hAPP(hAPP(c_Set_Oinsert(_u8145), _u8150), c_Orderings_Obot__class_Obot(tc_fun(_u8145, tc_HOL_Obool)))))), hAPP(_u8147, _u8150))) )).
% 29.00/29.24 cnf(matrix-4531, plain, ( ~c_Finite__Set_Ofolding__one(_u8151, _u8152, _u8153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8151), _u8154)) | ~hBOOL(hAPP(hAPP(c_member(_u8151), _u8155), _u8154)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8151, tc_HOL_Obool)), _u8154), hAPP(hAPP(c_Set_Oinsert(_u8151), _u8155), c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool))) | ( hAPP(_u8153, _u8154) = _u8155) )).
% 29.00/29.24 cnf(matrix-4532, plain, ( ~c_Finite__Set_Ofolding__one(_u8151, _u8152, _u8153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8151), _u8154)) | ~hBOOL(hAPP(hAPP(c_member(_u8151), _u8155), _u8154)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8151, tc_HOL_Obool)), _u8154), hAPP(hAPP(c_Set_Oinsert(_u8151), _u8155), c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool))) | ( hAPP(_u8153, _u8154) = hAPP(hAPP(_u8152, _u8155), hAPP(_u8153, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8151, tc_HOL_Obool)), _u8154), hAPP(hAPP(c_Set_Oinsert(_u8151), _u8155), c_Orderings_Obot__class_Obot(tc_fun(_u8151, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4533, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8157), _u8162)) | ~hBOOL(hAPP(hAPP(c_member(_u8157), _u8163), _u8162)) | ( hAPP(_u8161, _u8162) = hAPP(hAPP(_u8158, hAPP(_u8160, _u8163)), hAPP(_u8161, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8157, tc_HOL_Obool)), _u8162), hAPP(hAPP(c_Set_Oinsert(_u8157), _u8163), c_Orderings_Obot__class_Obot(tc_fun(_u8157, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u8156, _u8157, _u8158, _u8159, _u8160, _u8161) )).
% 29.00/29.24 cnf(matrix-4534, plain, ( ~c_Finite__Set_Ofolding(_u8164, _u8165, _u8166, _u8167) | ( hAPP(c_Fun_Ocomp(_u8168, _u8169, _u8170, _u8171), hAPP(c_Fun_Ocomp(_u8172, _u8168, _u8170, _u8173), _u8174)) = hAPP(c_Fun_Ocomp(_u8172, _u8169, _u8170, hAPP(c_Fun_Ocomp(_u8168, _u8169, _u8172, _u8171), _u8173)), _u8174)) )).
% 29.00/29.24 cnf(matrix-4535, plain, ( ( hAPP(c_Fun_Ocomp(_u8176, _u8176, _u8176, hAPP(_u8177, _u8179)), hAPP(_u8177, _u8180)) = hAPP(c_Fun_Ocomp(_u8176, _u8176, _u8176, hAPP(_u8177, _u8180)), hAPP(_u8177, _u8179))) | ~c_Finite__Set_Ofolding(_u8175, _u8176, _u8177, _u8178) )).
% 29.00/29.24 cnf(matrix-4536, plain, ( ( hAPP(c_Fun_Ocomp(_u8182, _u8182, _u8185, hAPP(_u8183, _u8186)), hAPP(c_Fun_Ocomp(_u8182, _u8182, _u8185, hAPP(_u8183, _u8187)), _u8188)) = hAPP(c_Fun_Ocomp(_u8182, _u8182, _u8185, hAPP(_u8183, _u8187)), hAPP(c_Fun_Ocomp(_u8182, _u8182, _u8185, hAPP(_u8183, _u8186)), _u8188))) | ~c_Finite__Set_Ofolding(_u8181, _u8182, _u8183, _u8184) )).
% 29.00/29.24 cnf(matrix-4537, plain, ( ( hAPP(_u8194, c_Orderings_Obot__class_Obot(tc_fun(_u8190, tc_HOL_Obool))) = _u8192) | ~c_Finite__Set_Ofolding__image__simple(_u8189, _u8190, _u8191, _u8192, _u8193, _u8194) )).
% 29.00/29.24 cnf(matrix-4538, plain, ( ~c_Finite__Set_Ofolding(_u8195, _u8196, _u8197, _u8198) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8195), _u8199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8195), _u8200)) | ( hAPP(c_Fun_Ocomp(_u8196, _u8196, _u8201, hAPP(_u8198, _u8200)), hAPP(c_Fun_Ocomp(_u8196, _u8196, _u8201, hAPP(_u8198, _u8199)), _u8202)) = hAPP(c_Fun_Ocomp(_u8196, _u8196, _u8201, hAPP(_u8198, _u8199)), hAPP(c_Fun_Ocomp(_u8196, _u8196, _u8201, hAPP(_u8198, _u8200)), _u8202))) )).
% 29.00/29.24 cnf(matrix-4539, plain, ( ~c_Finite__Set_Ofolding(_u8203, _u8204, _u8205, _u8206) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8203), _u8207)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8203), _u8208)) | ( hAPP(c_Fun_Ocomp(_u8204, _u8204, _u8204, hAPP(_u8206, _u8208)), hAPP(_u8206, _u8207)) = hAPP(c_Fun_Ocomp(_u8204, _u8204, _u8204, hAPP(_u8206, _u8207)), hAPP(_u8206, _u8208))) )).
% 29.00/29.24 cnf(matrix-4540, plain, ( ~c_Finite__Set_Ofolding(_u8209, _u8210, _u8211, _u8212) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8209), _u8213)) | ( hAPP(c_Fun_Ocomp(_u8210, _u8210, _u8214, hAPP(_u8211, _u8215)), hAPP(c_Fun_Ocomp(_u8210, _u8210, _u8214, hAPP(_u8212, _u8213)), _u8216)) = hAPP(c_Fun_Ocomp(_u8210, _u8210, _u8214, hAPP(_u8212, _u8213)), hAPP(c_Fun_Ocomp(_u8210, _u8210, _u8214, hAPP(_u8211, _u8215)), _u8216))) )).
% 29.00/29.24 cnf(matrix-4541, plain, ( ~c_Finite__Set_Ofolding(_u8217, _u8218, _u8219, _u8220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8217), _u8221)) | ( hAPP(c_Fun_Ocomp(_u8218, _u8218, _u8218, hAPP(_u8219, _u8222)), hAPP(_u8220, _u8221)) = hAPP(c_Fun_Ocomp(_u8218, _u8218, _u8218, hAPP(_u8220, _u8221)), hAPP(_u8219, _u8222))) )).
% 29.00/29.24 cnf(matrix-4542, plain, ( ~c_Finite__Set_Ofolding__one(_u8223, _u8224, _u8225) | ( hAPP(_u8225, hAPP(hAPP(c_Set_Oinsert(_u8223), _u8226), c_Orderings_Obot__class_Obot(tc_fun(_u8223, tc_HOL_Obool)))) = _u8226) )).
% 29.00/29.24 cnf(matrix-4543, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8228), _u8233)) | hBOOL(hAPP(hAPP(c_member(_u8228), _u8234), _u8233)) | ( hAPP(_u8232, hAPP(hAPP(c_Set_Oinsert(_u8228), _u8234), _u8233)) = hAPP(hAPP(_u8229, hAPP(_u8231, _u8234)), hAPP(_u8232, _u8233))) | ~c_Finite__Set_Ofolding__image__simple(_u8227, _u8228, _u8229, _u8230, _u8231, _u8232) )).
% 29.00/29.24 cnf(matrix-4544, plain, ( ~c_Finite__Set_Ofolding(_u8235, _u8236, _u8237, _u8238) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8235), _u8239)) | hBOOL(hAPP(hAPP(c_member(_u8235), _u8240), _u8239)) | ( hAPP(_u8238, hAPP(hAPP(c_Set_Oinsert(_u8235), _u8240), _u8239)) = hAPP(c_Fun_Ocomp(_u8236, _u8236, _u8236, hAPP(_u8238, _u8239)), hAPP(_u8237, _u8240))) )).
% 29.00/29.24 cnf(matrix-4545, plain, ( ~c_Finite__Set_Ofolding__one(_u8241, _u8242, _u8243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8241), _u8244)) | hBOOL(hAPP(hAPP(c_member(_u8241), _u8245), _u8244)) | ( _u8244 = c_Orderings_Obot__class_Obot(tc_fun(_u8241, tc_HOL_Obool))) | ( hAPP(_u8243, hAPP(hAPP(c_Set_Oinsert(_u8241), _u8245), _u8244)) = hAPP(hAPP(_u8242, _u8245), hAPP(_u8243, _u8244))) )).
% 29.00/29.24 cnf(matrix-4546, plain, ( ~c_Finite__Set_Ofolding__one(_u8246, _u8247, _u8248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8246), _u8249)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8246, tc_HOL_Obool)), _u8249), hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool))) | ( hAPP(_u8248, hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), _u8249)) = _u8250) )).
% 29.00/29.24 cnf(matrix-4547, plain, ( ~c_Finite__Set_Ofolding__one(_u8246, _u8247, _u8248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8246), _u8249)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8246, tc_HOL_Obool)), _u8249), hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool))) | ( hAPP(_u8248, hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), _u8249)) = hAPP(hAPP(_u8247, _u8250), hAPP(_u8248, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8246, tc_HOL_Obool)), _u8249), hAPP(hAPP(c_Set_Oinsert(_u8246), _u8250), c_Orderings_Obot__class_Obot(tc_fun(_u8246, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4548, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8252), _u8257)) | ( hAPP(_u8256, hAPP(hAPP(c_Set_Oinsert(_u8252), _u8258), _u8257)) = hAPP(hAPP(_u8253, hAPP(_u8255, _u8258)), hAPP(_u8256, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8252, tc_HOL_Obool)), _u8257), hAPP(hAPP(c_Set_Oinsert(_u8252), _u8258), c_Orderings_Obot__class_Obot(tc_fun(_u8252, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u8251, _u8252, _u8253, _u8254, _u8255, _u8256) )).
% 29.00/29.24 cnf(matrix-4549, plain, ( ~c_Finite__Set_Ofolding(_u8259, _u8260, _u8261, _u8262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8259), _u8263)) | ( hAPP(_u8262, hAPP(hAPP(c_Set_Oinsert(_u8259), _u8264), _u8263)) = hAPP(c_Fun_Ocomp(_u8260, _u8260, _u8260, hAPP(_u8262, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8259, tc_HOL_Obool)), _u8263), hAPP(hAPP(c_Set_Oinsert(_u8259), _u8264), c_Orderings_Obot__class_Obot(tc_fun(_u8259, tc_HOL_Obool)))))), hAPP(_u8261, _u8264))) )).
% 29.00/29.24 cnf(matrix-4550, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8270)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8265), _u8270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8265), skolem125(_u8270))) )).
% 29.00/29.24 cnf(matrix-4551, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8271)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem126(_u8271, _u8268)), _u8271)) )).
% 29.00/29.24 cnf(matrix-4552, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8271)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem126(_u8271, _u8268)), _u8268)) )).
% 29.00/29.24 cnf(matrix-4553, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8277)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8272), _u8277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8272), skolem127(_u8277))) )).
% 29.00/29.24 cnf(matrix-4554, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8278)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem128(_u8278, _u8275)), _u8278)) )).
% 29.00/29.24 cnf(matrix-4555, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem128(_u8278, _u8275)), _u8275)) )).
% 29.00/29.24 cnf(matrix-4556, plain, ( ~c_Equiv__Relations_Oequiv(_u8279, _u8280, _u8281) | ~hBOOL(hAPP(hAPP(c_member(_u8279), _u8282), _u8280)) | ~hBOOL(hAPP(hAPP(c_member(_u8279), _u8283), _u8280)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8279), hAPP(hAPP(c_Set_Oinsert(_u8279), _u8282), c_Orderings_Obot__class_Obot(tc_fun(_u8279, tc_HOL_Obool)))), _u8281) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8279), hAPP(hAPP(c_Set_Oinsert(_u8279), _u8283), c_Orderings_Obot__class_Obot(tc_fun(_u8279, tc_HOL_Obool)))), _u8281)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8279, _u8279)), hAPP(hAPP(c_Product__Type_OPair(_u8279, _u8279), _u8282), _u8283)), _u8281)) )).
% 29.00/29.24 cnf(matrix-4557, plain, ( ~c_Equiv__Relations_Oequiv(_u8279, _u8280, _u8281) | ~hBOOL(hAPP(hAPP(c_member(_u8279), _u8282), _u8280)) | ~hBOOL(hAPP(hAPP(c_member(_u8279), _u8283), _u8280)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8279, _u8279)), hAPP(hAPP(c_Product__Type_OPair(_u8279, _u8279), _u8282), _u8283)), _u8281)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8279), hAPP(hAPP(c_Set_Oinsert(_u8279), _u8282), c_Orderings_Obot__class_Obot(tc_fun(_u8279, tc_HOL_Obool)))), _u8281) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8279), hAPP(hAPP(c_Set_Oinsert(_u8279), _u8283), c_Orderings_Obot__class_Obot(tc_fun(_u8279, tc_HOL_Obool)))), _u8281)) )).
% 29.00/29.24 cnf(matrix-4558, plain, ( ~c_Equiv__Relations_Oequiv(_u8284, _u8285, _u8286) | ~hBOOL(hAPP(hAPP(c_member(_u8284), _u8287), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8284, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8284, _u8284, _u8286), hAPP(hAPP(c_Set_Oinsert(_u8284), _u8288), c_Orderings_Obot__class_Obot(tc_fun(_u8284, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u8284, _u8284, _u8286), hAPP(hAPP(c_Set_Oinsert(_u8284), _u8289), c_Orderings_Obot__class_Obot(tc_fun(_u8284, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8284, _u8284)), hAPP(hAPP(c_Product__Type_OPair(_u8284, _u8284), _u8288), _u8289)), _u8286)) )).
% 29.00/29.24 cnf(matrix-4559, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8290, tc_HOL_Obool)), _u8291), _u8292), _u8293)) | hBOOL(hAPP(_u8291, _u8293)) )).
% 29.00/29.24 cnf(matrix-4560, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8290, tc_HOL_Obool)), _u8291), _u8292), _u8293)) | hBOOL(hAPP(_u8292, _u8293)) )).
% 29.00/29.24 cnf(matrix-4561, plain, ( ~hBOOL(hAPP(_u8294, _u8295)) | ~hBOOL(hAPP(_u8296, _u8295)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8297, tc_HOL_Obool)), _u8294), _u8296), _u8295)) )).
% 29.00/29.24 cnf(matrix-4562, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8298), _u8299), _u8300)) | ~hBOOL(hAPP(hAPP(c_member(_u8298), _u8299), _u8301)) | hBOOL(hAPP(hAPP(c_member(_u8298), _u8299), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8298, tc_HOL_Obool)), _u8300), _u8301))) )).
% 29.00/29.24 cnf(matrix-4563, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8302), _u8303), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8302, tc_HOL_Obool)), _u8304), _u8305))) | hBOOL(hAPP(hAPP(c_member(_u8302), _u8303), _u8304)) )).
% 29.00/29.24 cnf(matrix-4564, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8302), _u8303), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8302, tc_HOL_Obool)), _u8304), _u8305))) | hBOOL(hAPP(hAPP(c_member(_u8302), _u8303), _u8305)) )).
% 29.00/29.24 cnf(matrix-4565, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8306, tc_HOL_Obool)), _u8307), _u8308))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8307)) )).
% 29.00/29.24 cnf(matrix-4566, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8306, tc_HOL_Obool)), _u8307), _u8308))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8308)) )).
% 29.00/29.24 cnf(matrix-4567, plain, ( ~c_Equiv__Relations_Oequiv(_u8309, _u8310, _u8311) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8309, tc_HOL_Obool)), _u8312), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8309), _u8310), _u8311))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8309, tc_HOL_Obool)), _u8313), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8309), _u8310), _u8311))) | ( _u8312 = _u8313) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8309, tc_HOL_Obool)), _u8312), _u8313) = c_Orderings_Obot__class_Obot(tc_fun(_u8309, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4568, plain, ( ~class_Lattices_Olattice(_u8314) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8314), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8314), _u8315), _u8316)), _u8315)) )).
% 29.00/29.24 cnf(matrix-4569, plain, ( ~class_Lattices_Osemilattice__inf(_u8317) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8317), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8317), _u8318), _u8319)), _u8318)) )).
% 29.00/29.24 cnf(matrix-4570, plain, ( ~class_Lattices_Olattice(_u8320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8320), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8320), _u8321), _u8322)), _u8322)) )).
% 29.00/29.24 cnf(matrix-4571, plain, ( ~class_Lattices_Osemilattice__inf(_u8323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8323), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8323), _u8324), _u8325)), _u8325)) )).
% 29.00/29.24 cnf(matrix-4572, plain, ( ~class_Lattices_Osemilattice__inf(_u8326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8326), _u8327), _u8328)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8326), _u8327), _u8328) = _u8327) )).
% 29.00/29.24 cnf(matrix-4573, plain, ( ~class_Lattices_Osemilattice__inf(_u8326) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8326), _u8327), _u8328) != _u8327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8326), _u8327), _u8328)) )).
% 29.00/29.24 cnf(matrix-4574, plain, ( ~class_Lattices_Osemilattice__inf(_u8329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8329), _u8331), _u8332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), _u8331)) )).
% 29.00/29.24 cnf(matrix-4575, plain, ( ~class_Lattices_Osemilattice__inf(_u8329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8329), _u8331), _u8332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), _u8332)) )).
% 29.00/29.24 cnf(matrix-4576, plain, ( ~class_Lattices_Osemilattice__inf(_u8329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), _u8331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), _u8332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8329), _u8330), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8329), _u8331), _u8332))) )).
% 29.00/29.24 cnf(matrix-4577, plain, ( ~class_Lattices_Osemilattice__inf(_u8333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), _u8334), _u8335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8333), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8333), _u8334), _u8336)), _u8335)) )).
% 29.00/29.24 cnf(matrix-4578, plain, ( ~class_Lattices_Osemilattice__inf(_u8337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8337), _u8338), _u8339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8337), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8337), _u8340), _u8338)), _u8339)) )).
% 29.00/29.24 cnf(matrix-4579, plain, ( ~class_Lattices_Osemilattice__inf(_u8341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8341), _u8342), _u8343)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8341), _u8342), _u8343) = _u8342) )).
% 29.00/29.24 cnf(matrix-4580, plain, ( ~class_Lattices_Osemilattice__inf(_u8344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8344), _u8345), _u8346)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8344), _u8346), _u8345) = _u8345) )).
% 29.00/29.24 cnf(matrix-4581, plain, ( ~class_Lattices_Osemilattice__inf(_u8347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8347), _u8348), _u8349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8347), _u8348), _u8350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8347), _u8348), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8347), _u8349), _u8350))) )).
% 29.00/29.24 cnf(matrix-4582, plain, ( ~class_Lattices_Osemilattice__inf(_u8351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8351), _u8352), _u8353)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8351), _u8352), _u8354)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8351), _u8352), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8351), _u8353), _u8354))) )).
% 29.00/29.24 cnf(matrix-4583, plain, ( ~class_Lattices_Osemilattice__inf(_u8355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8355), _u8356), _u8357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8355), _u8358), _u8359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8355), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8355), _u8356), _u8358)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8355), _u8357), _u8359))) )).
% 29.00/29.24 cnf(matrix-4584, plain, ( ~class_Lattices_Osemilattice__inf(_u8360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8360), _u8361), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8360), _u8362), _u8363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8360), _u8361), _u8362)) )).
% 29.00/29.24 cnf(matrix-4585, plain, ( ~class_Lattices_Osemilattice__inf(_u8360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8360), _u8361), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8360), _u8362), _u8363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8360), _u8361), _u8363)) )).
% 29.00/29.24 cnf(matrix-4586, plain, ( ~class_Lattices_Osemilattice__inf(_u8364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8364), _u8365), _u8366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8364), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8364), _u8367), _u8365)), _u8366)) )).
% 29.00/29.24 cnf(matrix-4587, plain, ( ~class_Lattices_Osemilattice__inf(_u8368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8368), _u8369), _u8370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8368), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8368), _u8369), _u8371)), _u8370)) )).
% 29.00/29.24 cnf(matrix-4588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8372, tc_HOL_Obool)), _u8373), _u8374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8372, tc_HOL_Obool)), _u8375), _u8376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8372, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8372, tc_HOL_Obool)), _u8373), _u8375)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8372, tc_HOL_Obool)), _u8374), _u8376))) )).
% 29.00/29.24 cnf(matrix-4589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8377, tc_HOL_Obool)), _u8378), _u8379)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8377, tc_HOL_Obool)), _u8378), _u8380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8377, tc_HOL_Obool)), _u8378), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8377, tc_HOL_Obool)), _u8379), _u8380))) )).
% 29.00/29.24 cnf(matrix-4590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8381, tc_HOL_Obool)), _u8382), _u8383)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8381, tc_HOL_Obool)), _u8383), _u8382) = _u8382) )).
% 29.00/29.24 cnf(matrix-4591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8384, tc_HOL_Obool)), _u8385), _u8386)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8384, tc_HOL_Obool)), _u8385), _u8386) = _u8385) )).
% 29.00/29.24 cnf(matrix-4592, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8387, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8387, tc_HOL_Obool)), _u8388), _u8389)), _u8389)) )).
% 29.00/29.24 cnf(matrix-4593, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8390, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8390, tc_HOL_Obool)), _u8391), _u8392)), _u8391)) )).
% 29.00/29.24 cnf(matrix-4594, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8393, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))), _u8394) = c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4595, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8395, tc_HOL_Obool)), _u8396), c_Orderings_Obot__class_Obot(tc_fun(_u8395, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8395, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4596, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8404, tc_HOL_Obool)), _u8406), _u8408) != c_Orderings_Obot__class_Obot(tc_fun(_u8404, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8404), _u8398), _u8406)) | ~hBOOL(hAPP(hAPP(c_member(_u8404), _u8397), _u8408)) | ( _u8398 != _u8397) )).
% 29.00/29.24 cnf(matrix-4597, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8405, tc_HOL_Obool)), _u8407), _u8409) = c_Orderings_Obot__class_Obot(tc_fun(_u8405, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8405), skolem129(_u8409, _u8407, _u8405)), _u8407)) )).
% 29.00/29.24 cnf(matrix-4598, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8405, tc_HOL_Obool)), _u8407), _u8409) = c_Orderings_Obot__class_Obot(tc_fun(_u8405, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8405), skolem130(_u8409, _u8407, _u8405)), _u8409)) )).
% 29.00/29.24 cnf(matrix-4599, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8405, tc_HOL_Obool)), _u8407), _u8409) = c_Orderings_Obot__class_Obot(tc_fun(_u8405, tc_HOL_Obool))) | ( skolem129(_u8409, _u8407, _u8405) = skolem130(_u8409, _u8407, _u8405)) )).
% 29.00/29.24 cnf(matrix-4600, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8410) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8410), _u8411), c_Orderings_Obot__class_Obot(_u8410)) = c_Orderings_Obot__class_Obot(_u8410)) )).
% 29.00/29.24 cnf(matrix-4601, plain, ( ~class_Lattices_Obounded__lattice__bot(_u8412) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8412), c_Orderings_Obot__class_Obot(_u8412)), _u8413) = c_Orderings_Obot__class_Obot(_u8412)) )).
% 29.00/29.24 cnf(matrix-4602, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8414), _u8415), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8414, tc_HOL_Obool)), _u8416), _u8417))) | hBOOL(hAPP(hAPP(c_member(_u8414), _u8415), _u8417)) )).
% 29.00/29.24 cnf(matrix-4603, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8418), _u8419), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8418, tc_HOL_Obool)), _u8420), _u8421))) | hBOOL(hAPP(hAPP(c_member(_u8418), _u8419), _u8420)) )).
% 29.00/29.24 cnf(matrix-4604, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8426), _u8428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8426, tc_HOL_Obool)), _u8430), _u8432))) | hBOOL(hAPP(hAPP(c_member(_u8426), _u8428), _u8430)) )).
% 29.00/29.24 cnf(matrix-4605, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8426), _u8428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8426, tc_HOL_Obool)), _u8430), _u8432))) | hBOOL(hAPP(hAPP(c_member(_u8426), _u8428), _u8432)) )).
% 29.00/29.24 cnf(matrix-4606, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8427), _u8429), _u8431)) | ~hBOOL(hAPP(hAPP(c_member(_u8427), _u8429), _u8433)) | hBOOL(hAPP(hAPP(c_member(_u8427), _u8429), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8427, tc_HOL_Obool)), _u8431), _u8433))) )).
% 29.00/29.24 cnf(matrix-4607, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8434, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8434), _u8435), _u8436)), hAPP(hAPP(c_Set_Oinsert(_u8434), _u8435), _u8437)) = hAPP(hAPP(c_Set_Oinsert(_u8434), _u8435), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8434, tc_HOL_Obool)), _u8436), _u8437))) )).
% 29.00/29.24 cnf(matrix-4608, plain, ( ~class_Lattices_Osemilattice__inf(_u8438) | ~class_Orderings_Olinorder(_u8438) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u8438) = c_Orderings_Oord__class_Omin(_u8438)) )).
% 29.00/29.24 cnf(matrix-4609, plain, ( ~class_Lattices_Olattice(_u8439) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8440, _u8439)), _u8441), _u8442), _u8443) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8439), hAPP(_u8441, _u8443)), hAPP(_u8442, _u8443))) )).
% 29.00/29.24 cnf(matrix-4610, plain, ( ~class_Lattices_Olattice(_u8444) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8445, _u8444)), _u8446), _u8447), _u8448) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8444), hAPP(_u8446, _u8448)), hAPP(_u8447, _u8448))) )).
% 29.00/29.24 cnf(matrix-4611, plain, ( ~class_Lattices_Osemilattice__inf(_u8449) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8449), _u8450), _u8451)), _u8452) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8449), _u8450), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8449), _u8451), _u8452))) )).
% 29.00/29.24 cnf(matrix-4612, plain, ( ~class_Lattices_Olattice(_u8453) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8453), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8453), _u8454), _u8455)), _u8456) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8453), _u8454), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8453), _u8455), _u8456))) )).
% 29.00/29.24 cnf(matrix-4613, plain, ( ~class_Lattices_Osemilattice__inf(_u8457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8457), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8457), _u8458), _u8459)), _u8460) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8457), _u8458), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8457), _u8459), _u8460))) )).
% 29.00/29.24 cnf(matrix-4614, plain, ( ~class_Lattices_Osemilattice__inf(_u8461) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8461), _u8462), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8461), _u8463), _u8464)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8461), _u8463), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8461), _u8462), _u8464))) )).
% 29.00/29.24 cnf(matrix-4615, plain, ( ~class_Lattices_Olattice(_u8465) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8465), _u8466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8465), _u8467), _u8468)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8465), _u8467), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8465), _u8466), _u8468))) )).
% 29.00/29.24 cnf(matrix-4616, plain, ( ~class_Lattices_Osemilattice__inf(_u8469) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8469), _u8470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8469), _u8471), _u8472)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8469), _u8471), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8469), _u8470), _u8472))) )).
% 29.00/29.24 cnf(matrix-4617, plain, ( ~class_Lattices_Osemilattice__inf(_u8473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8473), _u8474), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8473), _u8474), _u8475)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8473), _u8474), _u8475)) )).
% 29.00/29.24 cnf(matrix-4618, plain, ( ~class_Lattices_Olattice(_u8476) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8476), _u8477), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8476), _u8477), _u8478)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8476), _u8477), _u8478)) )).
% 29.00/29.24 cnf(matrix-4619, plain, ( ~class_Lattices_Osemilattice__inf(_u8479) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8479), _u8480), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8479), _u8480), _u8481)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8479), _u8480), _u8481)) )).
% 29.00/29.24 cnf(matrix-4620, plain, ( ~class_Lattices_Osemilattice__inf(_u8482) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8482), _u8483), _u8484) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8482), _u8484), _u8483)) )).
% 29.00/29.24 cnf(matrix-4621, plain, ( ~class_Lattices_Olattice(_u8485) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8485), _u8486), _u8487) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8485), _u8487), _u8486)) )).
% 29.00/29.24 cnf(matrix-4622, plain, ( ~class_Lattices_Osemilattice__inf(_u8488) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8488), _u8489), _u8490) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8488), _u8490), _u8489)) )).
% 29.00/29.24 cnf(matrix-4623, plain, ( ~class_Lattices_Osemilattice__inf(_u8491) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8491), _u8492), _u8492) = _u8492) )).
% 29.00/29.24 cnf(matrix-4624, plain, ( ~class_Lattices_Osemilattice__inf(_u8493) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8493), _u8494), _u8494) = _u8494) )).
% 29.00/29.24 cnf(matrix-4625, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8495, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8495, tc_HOL_Obool)), _u8496), _u8497)), _u8498) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8495, tc_HOL_Obool)), _u8496), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8495, tc_HOL_Obool)), _u8497), _u8498))) )).
% 29.00/29.24 cnf(matrix-4626, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8499, tc_HOL_Obool)), _u8500), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8499, tc_HOL_Obool)), _u8501), _u8502)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8499, tc_HOL_Obool)), _u8501), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8499, tc_HOL_Obool)), _u8500), _u8502))) )).
% 29.00/29.24 cnf(matrix-4627, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8503, tc_HOL_Obool)), _u8504), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8503, tc_HOL_Obool)), _u8504), _u8505)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8503, tc_HOL_Obool)), _u8504), _u8505)) )).
% 29.00/29.24 cnf(matrix-4628, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8506, tc_HOL_Obool)), _u8507), _u8508) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8506, tc_HOL_Obool)), _u8508), _u8507)) )).
% 29.00/29.24 cnf(matrix-4629, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8509, tc_HOL_Obool)), _u8510), _u8510) = _u8510) )).
% 29.00/29.24 cnf(matrix-4630, plain, ( hBOOL(hAPP(_u8513, _u8514)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8511, tc_HOL_Obool)), _u8512), _u8513), _u8514)) )).
% 29.00/29.24 cnf(matrix-4631, plain, ( hBOOL(hAPP(_u8516, _u8518)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8515, tc_HOL_Obool)), _u8516), _u8517), _u8518)) )).
% 29.00/29.24 cnf(matrix-4632, plain, ( ~class_Lattices_Olattice(_u8519) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8519), _u8520), _u8520) = _u8520) )).
% 29.00/29.24 cnf(matrix-4633, plain, ( ~c_Nat__Transfer_Onat__set(_u8521) | ~c_Nat__Transfer_Onat__set(_u8522) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8521), _u8522)) )).
% 29.00/29.24 cnf(matrix-4634, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8523, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8523, tc_HOL_Obool)), _u8524), _u8525)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8523, tc_HOL_Obool)), _u8526), _u8525)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8523, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8523, tc_HOL_Obool)), _u8524), _u8525)), _u8526)) )).
% 29.00/29.24 cnf(matrix-4635, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8527, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8527, tc_HOL_Obool)), _u8528), _u8529)), _u8530) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8527, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8527, tc_HOL_Obool)), _u8528), _u8530)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8527, tc_HOL_Obool)), _u8529), _u8530))) )).
% 29.00/29.24 cnf(matrix-4636, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8531, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8531, tc_HOL_Obool)), _u8532), _u8533)), _u8534) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8531, tc_HOL_Obool)), _u8532), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8531, tc_HOL_Obool)), _u8533), _u8534))) )).
% 29.00/29.24 cnf(matrix-4637, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8535, tc_HOL_Obool)), _u8536), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8535, tc_HOL_Obool)), _u8537), _u8538)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8535, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8535, tc_HOL_Obool)), _u8536), _u8537)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8535, tc_HOL_Obool)), _u8536), _u8538))) )).
% 29.00/29.24 cnf(matrix-4638, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8539, tc_HOL_Obool)), _u8540), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8539, tc_HOL_Obool)), _u8541), _u8542)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8539, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8539, tc_HOL_Obool)), _u8540), _u8541)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8539, tc_HOL_Obool)), _u8540), _u8542))) )).
% 29.00/29.24 cnf(matrix-4639, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8543, tc_HOL_Obool)), _u8544), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8543, tc_HOL_Obool)), _u8545), _u8546)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8543, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8543, tc_HOL_Obool)), _u8544), _u8545)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8543, tc_HOL_Obool)), _u8544), _u8546))) )).
% 29.00/29.24 cnf(matrix-4640, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8547, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8547, tc_HOL_Obool)), _u8548), _u8549)), _u8550) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8547, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8547, tc_HOL_Obool)), _u8548), _u8550)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8547, tc_HOL_Obool)), _u8549), _u8550))) )).
% 29.00/29.24 cnf(matrix-4641, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8551, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8551, tc_HOL_Obool)), _u8552), _u8553)), _u8554) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8551, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8551, tc_HOL_Obool)), _u8552), _u8554)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8551, tc_HOL_Obool)), _u8553), _u8554))) )).
% 29.00/29.24 cnf(matrix-4642, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), _u8556), _u8557)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), _u8557), _u8558))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), _u8558), _u8556)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8555, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), _u8556), _u8557)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), _u8557), _u8558))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8555, tc_HOL_Obool)), _u8558), _u8556))) )).
% 29.00/29.24 cnf(matrix-4643, plain, ( ~class_Lattices_Olattice(_u8559) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8559), _u8560), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8559), _u8560), _u8561)) = _u8560) )).
% 29.00/29.24 cnf(matrix-4644, plain, ( ~class_Lattices_Olattice(_u8562) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8562), _u8563), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8562), _u8563), _u8564)) = _u8563) )).
% 29.00/29.24 cnf(matrix-4645, plain, ( ~class_Lattices_Odistrib__lattice(_u8565) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8565), _u8566), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8565), _u8567), _u8568)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8565), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8565), _u8566), _u8567)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8565), _u8566), _u8568))) )).
% 29.00/29.24 cnf(matrix-4646, plain, ( ~class_Lattices_Odistrib__lattice(_u8569) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8569), _u8570), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8569), _u8571), _u8572)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8569), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8569), _u8570), _u8571)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8569), _u8570), _u8572))) )).
% 29.00/29.24 cnf(matrix-4647, plain, ( ~class_Lattices_Odistrib__lattice(_u8573) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8573), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8573), _u8574), _u8575)), _u8576) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8573), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8573), _u8574), _u8576)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8573), _u8575), _u8576))) )).
% 29.00/29.24 cnf(matrix-4648, plain, ( ~class_Lattices_Odistrib__lattice(_u8577) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8577), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8577), _u8578), _u8579)), _u8580) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8577), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8577), _u8578), _u8580)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8577), _u8579), _u8580))) )).
% 29.00/29.24 cnf(matrix-4649, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8581), c_Orderings_Obot__class_Obot(tc_fun(_u8581, tc_HOL_Obool))), _u8582) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8581, tc_HOL_Obool), tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4650, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8586, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8586), _u8588), _u8590)) | ( _u8588 = c_Orderings_Obot__class_Obot(tc_fun(_u8586, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4651, plain, ( ( _u8589 != c_Orderings_Obot__class_Obot(tc_fun(_u8587, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8587, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8587), _u8589), _u8591)) )).
% 29.00/29.24 cnf(matrix-4652, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8595), _u8597), _u8599) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8595, tc_HOL_Obool), tc_HOL_Obool))) | ( _u8597 = c_Orderings_Obot__class_Obot(tc_fun(_u8595, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4653, plain, ( ( _u8598 != c_Orderings_Obot__class_Obot(tc_fun(_u8596, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8596), _u8598), _u8600) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8596, tc_HOL_Obool), tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4654, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8605, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8605, tc_fun(_u8605, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8605)), _u8607)), hAPP(hAPP(c_COMBC(_u8605, tc_fun(_u8605, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8605)), _u8609)), _u8611)) | hBOOL(hAPP(hAPP(c_member(_u8605), _u8611), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8605, tc_HOL_Obool)), _u8607), _u8609))) )).
% 29.00/29.24 cnf(matrix-4655, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8606), _u8612), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8606, tc_HOL_Obool)), _u8608), _u8610))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8606, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8606, tc_fun(_u8606, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8606)), _u8608)), hAPP(hAPP(c_COMBC(_u8606, tc_fun(_u8606, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8606)), _u8610)), _u8612)) )).
% 29.00/29.24 cnf(matrix-4656, plain, ( ~class_Lattices_Olattice(_u8613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8613), _u8614), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8613), _u8615), _u8616))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8613), _u8614), _u8615)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8613), _u8614), _u8616)))) )).
% 29.00/29.24 cnf(matrix-4657, plain, ( ~class_Lattices_Olattice(_u8617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8617), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8617), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8617), _u8618), _u8619)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8617), _u8618), _u8620))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8617), _u8618), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8617), _u8619), _u8620)))) )).
% 29.00/29.24 cnf(matrix-4658, plain, ( ~class_Lattices_Oboolean__algebra(_u8621) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8621), _u8622), hAPP(c_Groups_Ouminus__class_Ouminus(_u8621), _u8622)) = c_Orderings_Obot__class_Obot(_u8621)) )).
% 29.00/29.24 cnf(matrix-4659, plain, ( ~class_Lattices_Oboolean__algebra(_u8623) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8623), hAPP(c_Groups_Ouminus__class_Ouminus(_u8623), _u8624)), _u8624) = c_Orderings_Obot__class_Obot(_u8623)) )).
% 29.00/29.24 cnf(matrix-4660, plain, ( ~class_Lattices_Oboolean__algebra(_u8625) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8625), _u8626), _u8627) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8625), _u8626), hAPP(c_Groups_Ouminus__class_Ouminus(_u8625), _u8627))) )).
% 29.00/29.24 cnf(matrix-4661, plain, ( ~class_Lattices_Oboolean__algebra(_u8628) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8628), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8628), _u8629), _u8630)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8628), hAPP(c_Groups_Ouminus__class_Ouminus(_u8628), _u8629)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8628), _u8630))) )).
% 29.00/29.24 cnf(matrix-4662, plain, ( ~class_Lattices_Oboolean__algebra(_u8631) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8631), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8631), _u8632), _u8633)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8631), hAPP(c_Groups_Ouminus__class_Ouminus(_u8631), _u8632)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8631), _u8633))) )).
% 29.00/29.24 cnf(matrix-4663, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8634), _u8635), _u8636)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8634, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8634), _u8635), _u8637)), _u8636) = hAPP(hAPP(c_Set_Oinsert(_u8634), _u8635), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8634, tc_HOL_Obool)), _u8637), _u8636))) )).
% 29.00/29.24 cnf(matrix-4664, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8638), _u8639), _u8640)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8638, tc_HOL_Obool)), _u8640), hAPP(hAPP(c_Set_Oinsert(_u8638), _u8639), _u8641)) = hAPP(hAPP(c_Set_Oinsert(_u8638), _u8639), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8638, tc_HOL_Obool)), _u8640), _u8641))) )).
% 29.00/29.24 cnf(matrix-4665, plain, ( hBOOL(hAPP(hAPP(c_member(_u8642), _u8643), _u8644)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8642, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8642), _u8643), _u8645)), _u8644) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8642, tc_HOL_Obool)), _u8645), _u8644)) )).
% 29.00/29.24 cnf(matrix-4666, plain, ( hBOOL(hAPP(hAPP(c_member(_u8646), _u8647), _u8648)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8646, tc_HOL_Obool)), _u8648), hAPP(hAPP(c_Set_Oinsert(_u8646), _u8647), _u8649)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8646, tc_HOL_Obool)), _u8648), _u8649)) )).
% 29.00/29.24 cnf(matrix-4667, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8654), _u8656), _u8658)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8654, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8654), _u8656), _u8660)), _u8658) = hAPP(hAPP(c_Set_Oinsert(_u8654), _u8656), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8654, tc_HOL_Obool)), _u8660), _u8658))) )).
% 29.00/29.24 cnf(matrix-4668, plain, ( hBOOL(hAPP(hAPP(c_member(_u8655), _u8657), _u8659)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8655, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8655), _u8657), _u8661)), _u8659) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8655, tc_HOL_Obool)), _u8661), _u8659)) )).
% 29.00/29.24 cnf(matrix-4669, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8666), _u8668), _u8670)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8666, tc_HOL_Obool)), _u8670), hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), _u8672)) = hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8666, tc_HOL_Obool)), _u8670), _u8672))) )).
% 29.00/29.24 cnf(matrix-4670, plain, ( hBOOL(hAPP(hAPP(c_member(_u8667), _u8669), _u8671)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8667, tc_HOL_Obool)), _u8671), hAPP(hAPP(c_Set_Oinsert(_u8667), _u8669), _u8673)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8667, tc_HOL_Obool)), _u8671), _u8673)) )).
% 29.00/29.24 cnf(matrix-4671, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8674, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8675, _u8674, _u8676), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8675, tc_HOL_Obool)), _u8677), _u8678))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8674, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8675, _u8674, _u8676), _u8677)), hAPP(c_Set_Oimage(_u8675, _u8674, _u8676), _u8678)))) )).
% 29.00/29.24 cnf(matrix-4672, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8679, tc_HOL_Obool)), _u8680), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8679, tc_HOL_Obool)), _u8681), _u8680)) = c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4673, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8682, tc_HOL_Obool)), _u8683), _u8684) != c_Orderings_Obot__class_Obot(tc_fun(_u8682, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8682, tc_HOL_Obool)), _u8683), _u8684) = _u8683) )).
% 29.00/29.24 cnf(matrix-4674, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8689, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8689, tc_HOL_Obool)), _u8691), _u8693)), _u8695) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8689, tc_HOL_Obool)), _u8691), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8689, tc_HOL_Obool)), _u8693), _u8695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8689, tc_HOL_Obool)), _u8695), _u8691)) )).
% 29.00/29.24 cnf(matrix-4675, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8690, tc_HOL_Obool)), _u8696), _u8692)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8690, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8690, tc_HOL_Obool)), _u8692), _u8694)), _u8696) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8690, tc_HOL_Obool)), _u8692), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8690, tc_HOL_Obool)), _u8694), _u8696))) )).
% 29.00/29.24 cnf(matrix-4676, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8697, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8697, tc_HOL_Obool)), _u8698), _u8699)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8697, tc_HOL_Obool)), _u8698), _u8699)) = _u8698) )).
% 29.00/29.24 cnf(matrix-4677, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8700, tc_HOL_Obool)), _u8701), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8700, tc_HOL_Obool)), _u8702), _u8703)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8700, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8700, tc_HOL_Obool)), _u8701), _u8702)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8700, tc_HOL_Obool)), _u8701), _u8703))) )).
% 29.00/29.24 cnf(matrix-4678, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8704, tc_HOL_Obool)), _u8705), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8704, tc_HOL_Obool)), _u8706), _u8707)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8704, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8704, tc_HOL_Obool)), _u8705), _u8706)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8704, tc_HOL_Obool)), _u8705), _u8707))) )).
% 29.00/29.24 cnf(matrix-4679, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8708), _u8709) = 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)), _u8708)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8709)))) )).
% 29.00/29.24 cnf(matrix-4680, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8710, tc_HOL_Obool)), _u8711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8710, tc_HOL_Obool)), _u8711)) = c_Orderings_Obot__class_Obot(tc_fun(_u8710, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4681, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8712, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8712, tc_HOL_Obool)), _u8713)), _u8713) = c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4682, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8714, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8715, _u8714, _u8716), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8715, tc_HOL_Obool)), _u8717), _u8718))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8714, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8715, _u8714, _u8716), _u8717)), hAPP(c_Relation_OImage(_u8715, _u8714, _u8716), _u8718)))) )).
% 29.00/29.24 cnf(matrix-4683, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8719, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8719, tc_HOL_Obool)), _u8720), _u8721)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8719, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8719, tc_HOL_Obool)), _u8720)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8719, tc_HOL_Obool)), _u8721))) )).
% 29.00/29.24 cnf(matrix-4684, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8722, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8722, tc_HOL_Obool)), _u8723), _u8724)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8722, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8722, tc_HOL_Obool)), _u8723)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8722, tc_HOL_Obool)), _u8724))) )).
% 29.00/29.24 cnf(matrix-4685, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8725, tc_HOL_Obool)), _u8726), _u8727) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8725, tc_HOL_Obool)), _u8726), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8725, tc_HOL_Obool)), _u8727))) )).
% 29.00/29.24 cnf(matrix-4686, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8728, tc_HOL_Obool)), _u8729), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8728, tc_HOL_Obool)), _u8730)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8728, tc_HOL_Obool)), _u8729), _u8730)) )).
% 29.00/29.24 cnf(matrix-4687, plain, ( ~c_Nat__Transfer_Onat__set(_u8731) | ~c_Nat__Transfer_Onat__set(_u8732) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u8731), _u8732) = 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), _u8731)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8732)))) )).
% 29.00/29.24 cnf(matrix-4688, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8736, tc_HOL_Obool)), _u8738), _u8740) != c_Orderings_Obot__class_Obot(tc_fun(_u8736, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8736, tc_HOL_Obool)), _u8738), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8736, tc_HOL_Obool)), _u8740))) )).
% 29.00/29.24 cnf(matrix-4689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8737, tc_HOL_Obool)), _u8739), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8737, tc_HOL_Obool)), _u8741))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8737, tc_HOL_Obool)), _u8739), _u8741) = c_Orderings_Obot__class_Obot(tc_fun(_u8737, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4690, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8743), _u8748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8743), _u8749)) | ( hAPP(hAPP(_u8744, hAPP(_u8747, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8743, tc_HOL_Obool)), _u8748), _u8749))), hAPP(_u8747, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8743, tc_HOL_Obool)), _u8748), _u8749))) = hAPP(hAPP(_u8744, hAPP(_u8747, _u8748)), hAPP(_u8747, _u8749))) | ~c_Finite__Set_Ofolding__image__simple(_u8742, _u8743, _u8744, _u8745, _u8746, _u8747) )).
% 29.00/29.24 cnf(matrix-4691, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8750), hAPP(hAPP(c_Set_Oinsert(_u8750), _u8751), c_Orderings_Obot__class_Obot(tc_fun(_u8750, tc_HOL_Obool)))), _u8752) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u8750, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8750, _u8750, _u8752), hAPP(hAPP(c_Set_Oinsert(_u8750), _u8751), c_Orderings_Obot__class_Obot(tc_fun(_u8750, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u8750, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-4692, plain, ( ~c_Finite__Set_Ofolding(_u8753, _u8754, _u8755, _u8756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8753), _u8757)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8753), _u8758)) | ( hAPP(c_Fun_Ocomp(_u8754, _u8754, _u8754, hAPP(_u8756, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8753, tc_HOL_Obool)), _u8757), _u8758))), hAPP(_u8756, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8753, tc_HOL_Obool)), _u8757), _u8758))) = hAPP(c_Fun_Ocomp(_u8754, _u8754, _u8754, hAPP(_u8756, _u8757)), hAPP(_u8756, _u8758))) )).
% 29.00/29.24 cnf(matrix-4693, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8760), _u8765)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8760), _u8766)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8760, tc_HOL_Obool)), _u8765), _u8766) != c_Orderings_Obot__class_Obot(tc_fun(_u8760, tc_HOL_Obool))) | ( hAPP(_u8764, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8760, tc_HOL_Obool)), _u8765), _u8766)) = hAPP(hAPP(_u8761, hAPP(_u8764, _u8765)), hAPP(_u8764, _u8766))) | ~c_Finite__Set_Ofolding__image__simple(_u8759, _u8760, _u8761, _u8762, _u8763, _u8764) )).
% 29.00/29.24 cnf(matrix-4694, plain, ( ~c_Finite__Set_Ofolding__one(_u8767, _u8768, _u8769) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8767), _u8770)) | ( _u8770 = c_Orderings_Obot__class_Obot(tc_fun(_u8767, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8767), _u8771)) | ( _u8771 = c_Orderings_Obot__class_Obot(tc_fun(_u8767, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8767, tc_HOL_Obool)), _u8770), _u8771) != c_Orderings_Obot__class_Obot(tc_fun(_u8767, tc_HOL_Obool))) | ( hAPP(_u8769, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8767, tc_HOL_Obool)), _u8770), _u8771)) = hAPP(hAPP(_u8768, hAPP(_u8769, _u8770)), hAPP(_u8769, _u8771))) )).
% 29.00/29.24 cnf(matrix-4695, plain, ( ~c_Finite__Set_Ofolding__one(_u8772, _u8773, _u8774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8772), _u8775)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8772), _u8776)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8772, tc_HOL_Obool)), _u8775), _u8776) = c_Orderings_Obot__class_Obot(tc_fun(_u8772, tc_HOL_Obool))) | ( hAPP(hAPP(_u8773, hAPP(_u8774, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8772, tc_HOL_Obool)), _u8775), _u8776))), hAPP(_u8774, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8772, tc_HOL_Obool)), _u8775), _u8776))) = hAPP(hAPP(_u8773, hAPP(_u8774, _u8775)), hAPP(_u8774, _u8776))) )).
% 29.00/29.24 cnf(matrix-4696, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8777), _u8778), _u8779)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u8777, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u8777, _u8777, _u8780), hAPP(hAPP(c_Set_Oinsert(_u8777), _u8778), c_Orderings_Obot__class_Obot(tc_fun(_u8777, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8777), _u8779), _u8780))) )).
% 29.00/29.24 cnf(matrix-4697, plain, ( ~c_Equiv__Relations_Oequiv(_u8781, _u8782, _u8783) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8781, tc_HOL_Obool)), _u8784), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8781), _u8782), _u8783))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8781, tc_HOL_Obool)), _u8785), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8781), _u8782), _u8783))) | ~hBOOL(hAPP(hAPP(c_member(_u8781), _u8786), _u8784)) | ~hBOOL(hAPP(hAPP(c_member(_u8781), _u8787), _u8785)) | ( _u8784 != _u8785) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8781, _u8781)), hAPP(hAPP(c_Product__Type_OPair(_u8781, _u8781), _u8786), _u8787)), _u8783)) )).
% 29.00/29.24 cnf(matrix-4698, plain, ( ~c_Equiv__Relations_Oequiv(_u8781, _u8782, _u8783) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8781, tc_HOL_Obool)), _u8784), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8781), _u8782), _u8783))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8781, tc_HOL_Obool)), _u8785), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8781), _u8782), _u8783))) | ~hBOOL(hAPP(hAPP(c_member(_u8781), _u8786), _u8784)) | ~hBOOL(hAPP(hAPP(c_member(_u8781), _u8787), _u8785)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8781, _u8781)), hAPP(hAPP(c_Product__Type_OPair(_u8781, _u8781), _u8786), _u8787)), _u8783)) | ( _u8784 = _u8785) )).
% 29.00/29.24 cnf(matrix-4699, plain, ( ~c_Equiv__Relations_Oequiv(_u8788, _u8789, _u8790) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8788, tc_HOL_Obool)), _u8791), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8788), _u8789), _u8790))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8788, tc_HOL_Obool)), _u8792), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8788), _u8789), _u8790))) | ~hBOOL(hAPP(hAPP(c_member(_u8788), _u8793), _u8791)) | ~hBOOL(hAPP(hAPP(c_member(_u8788), _u8794), _u8792)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8788, _u8788)), hAPP(hAPP(c_Product__Type_OPair(_u8788, _u8788), _u8793), _u8794)), _u8790)) | ( _u8791 = _u8792) )).
% 29.00/29.24 cnf(matrix-4700, plain, ( ~c_Finite__Set_Ofolding(_u8795, _u8796, _u8797, _u8798) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8795), _u8799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8795), _u8800)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8795, tc_HOL_Obool)), _u8799), _u8800) != c_Orderings_Obot__class_Obot(tc_fun(_u8795, tc_HOL_Obool))) | ( hAPP(_u8798, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8795, tc_HOL_Obool)), _u8799), _u8800)) = hAPP(c_Fun_Ocomp(_u8796, _u8796, _u8796, hAPP(_u8798, _u8799)), hAPP(_u8798, _u8800))) )).
% 29.00/29.24 cnf(matrix-4701, plain, ( hBOOL(hAPP(hAPP(_u8809, _u8807), _u8811)) | ~hBOOL(hAPP(hAPP(c_member(_u8805), _u8807), c_SetInterval_Oord_OatMost(_u8805, _u8809, _u8811))) )).
% 29.00/29.24 cnf(matrix-4702, plain, ( ~hBOOL(hAPP(hAPP(_u8810, _u8808), _u8812)) | hBOOL(hAPP(hAPP(c_member(_u8806), _u8808), c_SetInterval_Oord_OatMost(_u8806, _u8810, _u8812))) )).
% 29.00/29.24 cnf(matrix-4703, plain, ( hBOOL(hAPP(hAPP(_u8821, _u8823), _u8819)) | ~hBOOL(hAPP(hAPP(c_member(_u8817), _u8819), c_SetInterval_Oord_OatLeast(_u8817, _u8821, _u8823))) )).
% 29.00/29.24 cnf(matrix-4704, plain, ( ~hBOOL(hAPP(hAPP(_u8822, _u8824), _u8820)) | hBOOL(hAPP(hAPP(c_member(_u8818), _u8820), c_SetInterval_Oord_OatLeast(_u8818, _u8822, _u8824))) )).
% 29.00/29.24 cnf(matrix-4705, plain, ( hBOOL(hAPP(hAPP(_u8833, _u8831), _u8835)) | ~hBOOL(hAPP(hAPP(c_member(_u8829), _u8831), c_SetInterval_Oord_OlessThan(_u8829, _u8833, _u8835))) )).
% 29.00/29.24 cnf(matrix-4706, plain, ( ~hBOOL(hAPP(hAPP(_u8834, _u8832), _u8836)) | hBOOL(hAPP(hAPP(c_member(_u8830), _u8832), c_SetInterval_Oord_OlessThan(_u8830, _u8834, _u8836))) )).
% 29.00/29.24 cnf(matrix-4707, plain, ( hBOOL(hAPP(hAPP(_u8845, _u8847), _u8843)) | ~hBOOL(hAPP(hAPP(c_member(_u8841), _u8843), c_SetInterval_Oord_OgreaterThan(_u8841, _u8845, _u8847))) )).
% 29.00/29.24 cnf(matrix-4708, plain, ( ~hBOOL(hAPP(hAPP(_u8846, _u8848), _u8844)) | hBOOL(hAPP(hAPP(c_member(_u8842), _u8844), c_SetInterval_Oord_OgreaterThan(_u8842, _u8846, _u8848))) )).
% 29.00/29.24 cnf(matrix-4709, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4710, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8855, tc_fun(_u8857, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8855, tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_fun(_u8857, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8857, tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_fun(_u8857, tc_HOL_Obool)), _u8855), c_COMBC(_u8857, tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8857, tc_prod(_u8855, _u8857)), tc_fun(_u8857, tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), _u8855), hAPP(c_COMBB(tc_prod(_u8855, _u8857), tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool), _u8857), c_member(tc_prod(_u8855, _u8857)))), c_Product__Type_OPair(_u8855, _u8857)))), _u8859)), hAPP(hAPP(c_COMBC(_u8855, tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_fun(_u8857, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8857, tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_fun(_u8857, tc_HOL_Obool)), _u8855), c_COMBC(_u8857, tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8857, tc_prod(_u8855, _u8857)), tc_fun(_u8857, tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool)), _u8855), hAPP(c_COMBB(tc_prod(_u8855, _u8857), tc_fun(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool), tc_HOL_Obool), _u8857), c_member(tc_prod(_u8855, _u8857)))), c_Product__Type_OPair(_u8855, _u8857)))), _u8861)), _u8863), _u8865)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8855, _u8857)), hAPP(hAPP(c_Product__Type_OPair(_u8855, _u8857), _u8863), _u8865)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8855, _u8857), tc_HOL_Obool)), _u8859), _u8861))) )).
% 29.00/29.24 cnf(matrix-4711, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8856, _u8858)), hAPP(hAPP(c_Product__Type_OPair(_u8856, _u8858), _u8864), _u8866)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool)), _u8860), _u8862))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8856, tc_fun(_u8858, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8856, tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_fun(_u8858, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8858, tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_fun(_u8858, tc_HOL_Obool)), _u8856), c_COMBC(_u8858, tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8858, tc_prod(_u8856, _u8858)), tc_fun(_u8858, tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), _u8856), hAPP(c_COMBB(tc_prod(_u8856, _u8858), tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool), _u8858), c_member(tc_prod(_u8856, _u8858)))), c_Product__Type_OPair(_u8856, _u8858)))), _u8860)), hAPP(hAPP(c_COMBC(_u8856, tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_fun(_u8858, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8858, tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_fun(_u8858, tc_HOL_Obool)), _u8856), c_COMBC(_u8858, tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8858, tc_prod(_u8856, _u8858)), tc_fun(_u8858, tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool)), _u8856), hAPP(c_COMBB(tc_prod(_u8856, _u8858), tc_fun(tc_fun(tc_prod(_u8856, _u8858), tc_HOL_Obool), tc_HOL_Obool), _u8858), c_member(tc_prod(_u8856, _u8858)))), c_Product__Type_OPair(_u8856, _u8858)))), _u8862)), _u8864), _u8866)) )).
% 29.00/29.24 cnf(matrix-4712, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8868, tc_HOL_Obool)), _u8869), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8868), _u8870), _u8871))) | ( _u8869 = hAPP(c_Relation_OImage(_u8868, _u8868, _u8871), hAPP(hAPP(c_Set_Oinsert(_u8868), skolem131(_u8871, _u8870, _u8869, _u8868)), c_Orderings_Obot__class_Obot(tc_fun(_u8868, tc_HOL_Obool))))) )).
% 29.00/29.24 cnf(matrix-4713, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u8868, tc_HOL_Obool)), _u8869), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u8868), _u8870), _u8871))) | hBOOL(hAPP(hAPP(c_member(_u8868), skolem131(_u8871, _u8870, _u8869, _u8868)), _u8870)) )).
% 29.00/29.24 cnf(matrix-4714, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8878), _u8880), c_SetInterval_Oord_OgreaterThanAtMost(_u8878, _u8882, _u8884, _u8886, _u8888))) | hBOOL(hAPP(hAPP(_u8884, _u8886), _u8880)) )).
% 29.00/29.24 cnf(matrix-4715, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8878), _u8880), c_SetInterval_Oord_OgreaterThanAtMost(_u8878, _u8882, _u8884, _u8886, _u8888))) | hBOOL(hAPP(hAPP(_u8882, _u8880), _u8888)) )).
% 29.00/29.24 cnf(matrix-4716, plain, ( ~hBOOL(hAPP(hAPP(_u8885, _u8887), _u8881)) | ~hBOOL(hAPP(hAPP(_u8883, _u8881), _u8889)) | hBOOL(hAPP(hAPP(c_member(_u8879), _u8881), c_SetInterval_Oord_OgreaterThanAtMost(_u8879, _u8883, _u8885, _u8887, _u8889))) )).
% 29.00/29.24 cnf(matrix-4717, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8896), _u8898), c_SetInterval_Oord_OatLeastLessThan(_u8896, _u8900, _u8902, _u8904, _u8906))) | hBOOL(hAPP(hAPP(_u8900, _u8904), _u8898)) )).
% 29.00/29.24 cnf(matrix-4718, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8896), _u8898), c_SetInterval_Oord_OatLeastLessThan(_u8896, _u8900, _u8902, _u8904, _u8906))) | hBOOL(hAPP(hAPP(_u8902, _u8898), _u8906)) )).
% 29.00/29.24 cnf(matrix-4719, plain, ( ~hBOOL(hAPP(hAPP(_u8901, _u8905), _u8899)) | ~hBOOL(hAPP(hAPP(_u8903, _u8899), _u8907)) | hBOOL(hAPP(hAPP(c_member(_u8897), _u8899), c_SetInterval_Oord_OatLeastLessThan(_u8897, _u8901, _u8903, _u8905, _u8907))) )).
% 29.00/29.24 cnf(matrix-4720, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8913), _u8915), c_SetInterval_Oord_OgreaterThanLessThan(_u8913, _u8917, _u8919, _u8921))) | hBOOL(hAPP(hAPP(_u8917, _u8919), _u8915)) )).
% 29.00/29.24 cnf(matrix-4721, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8913), _u8915), c_SetInterval_Oord_OgreaterThanLessThan(_u8913, _u8917, _u8919, _u8921))) | hBOOL(hAPP(hAPP(_u8917, _u8915), _u8921)) )).
% 29.00/29.24 cnf(matrix-4722, plain, ( ~hBOOL(hAPP(hAPP(_u8918, _u8920), _u8916)) | ~hBOOL(hAPP(hAPP(_u8918, _u8916), _u8922)) | hBOOL(hAPP(hAPP(c_member(_u8914), _u8916), c_SetInterval_Oord_OgreaterThanLessThan(_u8914, _u8918, _u8920, _u8922))) )).
% 29.00/29.24 cnf(matrix-4723, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8923, tc_fun(_u8924, tc_HOL_Obool))), _u8925), _u8926), _u8927), _u8928)) | hBOOL(hAPP(hAPP(_u8925, _u8927), _u8928)) )).
% 29.00/29.24 cnf(matrix-4724, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8923, tc_fun(_u8924, tc_HOL_Obool))), _u8925), _u8926), _u8927), _u8928)) | hBOOL(hAPP(hAPP(_u8926, _u8927), _u8928)) )).
% 29.00/29.24 cnf(matrix-4725, plain, ( ~hBOOL(hAPP(hAPP(_u8929, _u8930), _u8931)) | ~hBOOL(hAPP(hAPP(_u8932, _u8930), _u8931)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8933, tc_fun(_u8934, tc_HOL_Obool))), _u8929), _u8932), _u8930), _u8931)) )).
% 29.00/29.24 cnf(matrix-4726, plain, ( hBOOL(hAPP(hAPP(_u8938, _u8939), _u8940)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8935, tc_fun(_u8936, tc_HOL_Obool))), _u8937), _u8938), _u8939), _u8940)) )).
% 29.00/29.24 cnf(matrix-4727, plain, ( hBOOL(hAPP(hAPP(_u8943, _u8945), _u8946)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8941, tc_fun(_u8942, tc_HOL_Obool))), _u8943), _u8944), _u8945), _u8946)) )).
% 29.00/29.24 cnf(matrix-4728, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8952), _u8954), c_SetInterval_Oord_OatLeastAtMost(_u8952, _u8956, _u8958, _u8960))) | hBOOL(hAPP(hAPP(_u8956, _u8958), _u8954)) )).
% 29.00/29.24 cnf(matrix-4729, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8952), _u8954), c_SetInterval_Oord_OatLeastAtMost(_u8952, _u8956, _u8958, _u8960))) | hBOOL(hAPP(hAPP(_u8956, _u8954), _u8960)) )).
% 29.00/29.24 cnf(matrix-4730, plain, ( ~hBOOL(hAPP(hAPP(_u8957, _u8959), _u8955)) | ~hBOOL(hAPP(hAPP(_u8957, _u8955), _u8961)) | hBOOL(hAPP(hAPP(c_member(_u8953), _u8955), c_SetInterval_Oord_OatLeastAtMost(_u8953, _u8957, _u8959, _u8961))) )).
% 29.00/29.24 cnf(matrix-4731, plain, ( ~class_Lattices_Olattice(_u8962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8962), _u8963)) | ~hBOOL(hAPP(hAPP(c_member(_u8962), _u8964), _u8963)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8962, tc_HOL_Obool)), _u8963), hAPP(hAPP(c_Set_Oinsert(_u8962), _u8964), c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u8962, _u8963) = _u8964) )).
% 29.00/29.24 cnf(matrix-4732, plain, ( ~class_Lattices_Olattice(_u8962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8962), _u8963)) | ~hBOOL(hAPP(hAPP(c_member(_u8962), _u8964), _u8963)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8962, tc_HOL_Obool)), _u8963), hAPP(hAPP(c_Set_Oinsert(_u8962), _u8964), c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u8962, _u8963) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8962), _u8964), c_Big__Operators_Olattice__class_OInf__fin(_u8962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8962, tc_HOL_Obool)), _u8963), hAPP(hAPP(c_Set_Oinsert(_u8962), _u8964), c_Orderings_Obot__class_Obot(tc_fun(_u8962, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4733, plain, ( ~class_Lattices_Olattice(_u8965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8965), _u8966)) | ~hBOOL(hAPP(hAPP(c_member(_u8965), _u8967), _u8966)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8965, tc_HOL_Obool)), _u8966), hAPP(hAPP(c_Set_Oinsert(_u8965), _u8967), c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u8965, _u8966) = _u8967) )).
% 29.00/29.24 cnf(matrix-4734, plain, ( ~class_Lattices_Olattice(_u8965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8965), _u8966)) | ~hBOOL(hAPP(hAPP(c_member(_u8965), _u8967), _u8966)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8965, tc_HOL_Obool)), _u8966), hAPP(hAPP(c_Set_Oinsert(_u8965), _u8967), c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u8965, _u8966) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8965), _u8967), c_Big__Operators_Olattice__class_OSup__fin(_u8965, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8965, tc_HOL_Obool)), _u8966), hAPP(hAPP(c_Set_Oinsert(_u8965), _u8967), c_Orderings_Obot__class_Obot(tc_fun(_u8965, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4735, plain, ( ~class_Orderings_Olinorder(_u8968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8968), _u8969)) | ~hBOOL(hAPP(hAPP(c_member(_u8968), _u8970), _u8969)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8968, tc_HOL_Obool)), _u8969), hAPP(hAPP(c_Set_Oinsert(_u8968), _u8970), c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8968, _u8969) = _u8970) )).
% 29.00/29.24 cnf(matrix-4736, plain, ( ~class_Orderings_Olinorder(_u8968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8968), _u8969)) | ~hBOOL(hAPP(hAPP(c_member(_u8968), _u8970), _u8969)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8968, tc_HOL_Obool)), _u8969), hAPP(hAPP(c_Set_Oinsert(_u8968), _u8970), c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8968, _u8969) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8968), _u8970), c_Big__Operators_Olinorder__class_OMax(_u8968, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8968, tc_HOL_Obool)), _u8969), hAPP(hAPP(c_Set_Oinsert(_u8968), _u8970), c_Orderings_Obot__class_Obot(tc_fun(_u8968, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4737, plain, ( ~class_Lattices_Olattice(_u8971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8971), _u8972)) | ( _u8972 = c_Orderings_Obot__class_Obot(tc_fun(_u8971, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8971), c_Big__Operators_Olattice__class_OInf__fin(_u8971, _u8972)), c_Big__Operators_Olattice__class_OSup__fin(_u8971, _u8972))) )).
% 29.00/29.24 cnf(matrix-4738, plain, ( ~class_Orderings_Olinorder(_u8973) | ( c_Big__Operators_Olinorder__class_OMax(_u8973, hAPP(hAPP(c_Set_Oinsert(_u8973), _u8974), c_Orderings_Obot__class_Obot(tc_fun(_u8973, tc_HOL_Obool)))) = _u8974) )).
% 29.00/29.24 cnf(matrix-4739, plain, ( ~class_Lattices_Olattice(_u8975) | ( c_Big__Operators_Olattice__class_OInf__fin(_u8975, hAPP(hAPP(c_Set_Oinsert(_u8975), _u8976), c_Orderings_Obot__class_Obot(tc_fun(_u8975, tc_HOL_Obool)))) = _u8976) )).
% 29.00/29.24 cnf(matrix-4740, plain, ( ~class_Lattices_Olattice(_u8977) | ( c_Big__Operators_Olattice__class_OSup__fin(_u8977, hAPP(hAPP(c_Set_Oinsert(_u8977), _u8978), c_Orderings_Obot__class_Obot(tc_fun(_u8977, tc_HOL_Obool)))) = _u8978) )).
% 29.00/29.24 cnf(matrix-4741, plain, ( ~class_Orderings_Olinorder(_u8979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8979), _u8980)) | ~hBOOL(hAPP(hAPP(c_member(_u8979), _u8981), _u8980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8979), _u8981), c_Big__Operators_Olinorder__class_OMax(_u8979, _u8980))) )).
% 29.00/29.24 cnf(matrix-4742, plain, ( ~class_Orderings_Olinorder(_u8982) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8982), _u8983)) | ( _u8983 = c_Orderings_Obot__class_Obot(tc_fun(_u8982, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8982), c_Big__Operators_Olinorder__class_OMax(_u8982, _u8983)), _u8983)) )).
% 29.00/29.24 cnf(matrix-4743, plain, ( ~class_Lattices_Olattice(_u8984) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8984), _u8985)) | ~hBOOL(hAPP(hAPP(c_member(_u8984), _u8986), _u8985)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8984), _u8986), c_Big__Operators_Olattice__class_OSup__fin(_u8984, _u8985)) = c_Big__Operators_Olattice__class_OSup__fin(_u8984, _u8985)) )).
% 29.00/29.24 cnf(matrix-4744, plain, ( ~class_Lattices_Olattice(_u8987) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8987), _u8988)) | ~hBOOL(hAPP(hAPP(c_member(_u8987), _u8989), _u8988)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8987), _u8989), c_Big__Operators_Olattice__class_OInf__fin(_u8987, _u8988)) = _u8989) )).
% 29.00/29.24 cnf(matrix-4745, plain, ( ~class_Lattices_Olattice(_u8990) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8990), _u8991)) | ~hBOOL(hAPP(hAPP(c_member(_u8990), _u8992), _u8991)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8990), _u8992), c_Big__Operators_Olattice__class_OInf__fin(_u8990, _u8991)) = c_Big__Operators_Olattice__class_OInf__fin(_u8990, _u8991)) )).
% 29.00/29.24 cnf(matrix-4746, plain, ( ~class_Lattices_Olattice(_u8993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8993), _u8994)) | ~hBOOL(hAPP(hAPP(c_member(_u8993), _u8995), _u8994)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8993), _u8995), c_Big__Operators_Olattice__class_OSup__fin(_u8993, _u8994)) = _u8995) )).
% 29.00/29.24 cnf(matrix-4747, plain, ( ~class_Orderings_Olinorder(_u8996) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8996), _u8997)) | ~hBOOL(hAPP(hAPP(c_member(_u8996), _u8998), _u8997)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8996), _u8998), c_Big__Operators_Olinorder__class_OMax(_u8996, _u8997)) = c_Big__Operators_Olinorder__class_OMax(_u8996, _u8997)) )).
% 29.00/29.24 cnf(matrix-4748, plain, ( ~class_Orderings_Olinorder(_u8999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8999, tc_HOL_Obool)), _u9000), _u9001)) | ( _u9000 = c_Orderings_Obot__class_Obot(tc_fun(_u8999, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8999), _u9001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8999), c_Big__Operators_Olinorder__class_OMax(_u8999, _u9000)), c_Big__Operators_Olinorder__class_OMax(_u8999, _u9001))) )).
% 29.00/29.24 cnf(matrix-4749, plain, ( ~class_Lattices_Olattice(_u9002) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9002), _u9003)) | ( _u9003 = c_Orderings_Obot__class_Obot(tc_fun(_u9002, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9002, hAPP(hAPP(c_Set_Oinsert(_u9002), _u9004), _u9003)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9002), _u9004), c_Big__Operators_Olattice__class_OSup__fin(_u9002, _u9003))) )).
% 29.00/29.24 cnf(matrix-4750, plain, ( ~class_Lattices_Olattice(_u9005) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9005), _u9006)) | ( _u9006 = c_Orderings_Obot__class_Obot(tc_fun(_u9005, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9005, hAPP(hAPP(c_Set_Oinsert(_u9005), _u9007), _u9006)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9005), _u9007), c_Big__Operators_Olattice__class_OInf__fin(_u9005, _u9006))) )).
% 29.00/29.24 cnf(matrix-4751, plain, ( ~class_Lattices_Olattice(_u9008) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9008), _u9009)) | ( _u9010 = c_Orderings_Obot__class_Obot(tc_fun(_u9008, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9008, tc_HOL_Obool)), _u9010), _u9009)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9008), c_Big__Operators_Olattice__class_OSup__fin(_u9008, _u9010)), c_Big__Operators_Olattice__class_OSup__fin(_u9008, _u9009)) = c_Big__Operators_Olattice__class_OSup__fin(_u9008, _u9009)) )).
% 29.00/29.24 cnf(matrix-4752, plain, ( ~class_Orderings_Olinorder(_u9011) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9011), _u9012)) | ( _u9012 = c_Orderings_Obot__class_Obot(tc_fun(_u9011, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9011, hAPP(hAPP(c_Set_Oinsert(_u9011), _u9013), _u9012)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9011), _u9013), c_Big__Operators_Olinorder__class_OMax(_u9011, _u9012))) )).
% 29.00/29.24 cnf(matrix-4753, plain, ( ~class_Lattices_Olattice(_u9014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9014), _u9015)) | ( _u9016 = c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9014, tc_HOL_Obool)), _u9016), _u9015)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9014), c_Big__Operators_Olattice__class_OInf__fin(_u9014, _u9016)), c_Big__Operators_Olattice__class_OInf__fin(_u9014, _u9015)) = c_Big__Operators_Olattice__class_OInf__fin(_u9014, _u9015)) )).
% 29.00/29.24 cnf(matrix-4754, plain, ( ~class_Lattices_Olattice(_u9017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9017), _u9018)) | ( _u9018 = c_Orderings_Obot__class_Obot(tc_fun(_u9017, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9017), _u9019)) | ( _u9019 = c_Orderings_Obot__class_Obot(tc_fun(_u9017, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9017, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9017, tc_HOL_Obool)), _u9018), _u9019)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9017), c_Big__Operators_Olattice__class_OSup__fin(_u9017, _u9018)), c_Big__Operators_Olattice__class_OSup__fin(_u9017, _u9019))) )).
% 29.00/29.24 cnf(matrix-4755, plain, ( ~class_Orderings_Olinorder(_u9020) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9020), _u9021)) | ( _u9022 = c_Orderings_Obot__class_Obot(tc_fun(_u9020, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9020, tc_HOL_Obool)), _u9022), _u9021)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9020), c_Big__Operators_Olinorder__class_OMax(_u9020, _u9022)), c_Big__Operators_Olinorder__class_OMax(_u9020, _u9021)) = c_Big__Operators_Olinorder__class_OMax(_u9020, _u9021)) )).
% 29.00/29.24 cnf(matrix-4756, plain, ( ~class_Lattices_Olattice(_u9023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9023), _u9024)) | ( _u9024 = c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9023), _u9025)) | ( _u9025 = c_Orderings_Obot__class_Obot(tc_fun(_u9023, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9023, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9023, tc_HOL_Obool)), _u9024), _u9025)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9023), c_Big__Operators_Olattice__class_OInf__fin(_u9023, _u9024)), c_Big__Operators_Olattice__class_OInf__fin(_u9023, _u9025))) )).
% 29.00/29.24 cnf(matrix-4757, plain, ( ~class_Orderings_Olinorder(_u9026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9026), _u9027)) | ( _u9027 = c_Orderings_Obot__class_Obot(tc_fun(_u9026, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9026), _u9028)) | ( _u9028 = c_Orderings_Obot__class_Obot(tc_fun(_u9026, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9026, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9026, tc_HOL_Obool)), _u9027), _u9028)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9026), c_Big__Operators_Olinorder__class_OMax(_u9026, _u9027)), c_Big__Operators_Olinorder__class_OMax(_u9026, _u9028))) )).
% 29.00/29.24 cnf(matrix-4758, plain, ( ~class_Lattices_Olattice(_u9029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9029), _u9030)) | hBOOL(hAPP(hAPP(c_member(_u9029), _u9031), _u9030)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9029, hAPP(hAPP(c_Set_Oinsert(_u9029), _u9031), _u9030)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9029), _u9031), c_Big__Operators_Olattice__class_OSup__fin(_u9029, _u9030))) )).
% 29.00/29.24 cnf(matrix-4759, plain, ( ~class_Lattices_Olattice(_u9032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9032), _u9033)) | hBOOL(hAPP(hAPP(c_member(_u9032), _u9034), _u9033)) | ( _u9033 = c_Orderings_Obot__class_Obot(tc_fun(_u9032, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9032, hAPP(hAPP(c_Set_Oinsert(_u9032), _u9034), _u9033)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9032), _u9034), c_Big__Operators_Olattice__class_OInf__fin(_u9032, _u9033))) )).
% 29.00/29.24 cnf(matrix-4760, plain, ( ~class_Orderings_Olinorder(_u9035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9035), _u9036)) | hBOOL(hAPP(hAPP(c_member(_u9035), _u9037), _u9036)) | ( _u9036 = c_Orderings_Obot__class_Obot(tc_fun(_u9035, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9035, hAPP(hAPP(c_Set_Oinsert(_u9035), _u9037), _u9036)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9035), _u9037), c_Big__Operators_Olinorder__class_OMax(_u9035, _u9036))) )).
% 29.00/29.24 cnf(matrix-4761, plain, ( ~class_Lattices_Olattice(_u9038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9038), _u9039)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9038, tc_HOL_Obool)), _u9039), hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9038, hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), _u9039)) = _u9040) )).
% 29.00/29.24 cnf(matrix-4762, plain, ( ~class_Lattices_Olattice(_u9038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9038), _u9039)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9038, tc_HOL_Obool)), _u9039), hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9038, hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), _u9039)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9038), _u9040), c_Big__Operators_Olattice__class_OSup__fin(_u9038, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9038, tc_HOL_Obool)), _u9039), hAPP(hAPP(c_Set_Oinsert(_u9038), _u9040), c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4763, plain, ( ~class_Lattices_Olattice(_u9041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9041), _u9042)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9041, tc_HOL_Obool)), _u9042), hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9041, hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), _u9042)) = _u9043) )).
% 29.00/29.24 cnf(matrix-4764, plain, ( ~class_Lattices_Olattice(_u9041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9041), _u9042)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9041, tc_HOL_Obool)), _u9042), hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9041, hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), _u9042)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9041), _u9043), c_Big__Operators_Olattice__class_OInf__fin(_u9041, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9041, tc_HOL_Obool)), _u9042), hAPP(hAPP(c_Set_Oinsert(_u9041), _u9043), c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4765, plain, ( ~class_Lattices_Olattice(_u9044) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9044), _u9045)) | ( _u9045 = c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9044), _u9046)) | ( _u9046 = c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9044, tc_HOL_Obool)), _u9045), _u9046) != c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u9044, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9044, tc_HOL_Obool)), _u9045), _u9046)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9044), c_Big__Operators_Olattice__class_OSup__fin(_u9044, _u9045)), c_Big__Operators_Olattice__class_OSup__fin(_u9044, _u9046))) )).
% 29.00/29.24 cnf(matrix-4766, plain, ( ~class_Lattices_Olattice(_u9047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9047), _u9048)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9047), _u9049)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9047, tc_HOL_Obool)), _u9048), _u9049) = c_Orderings_Obot__class_Obot(tc_fun(_u9047, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9047), c_Big__Operators_Olattice__class_OSup__fin(_u9047, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9047, tc_HOL_Obool)), _u9048), _u9049))), c_Big__Operators_Olattice__class_OSup__fin(_u9047, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9047, tc_HOL_Obool)), _u9048), _u9049))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9047), c_Big__Operators_Olattice__class_OSup__fin(_u9047, _u9048)), c_Big__Operators_Olattice__class_OSup__fin(_u9047, _u9049))) )).
% 29.00/29.24 cnf(matrix-4767, plain, ( ~class_Orderings_Olinorder(_u9050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9050), _u9051)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9050, tc_HOL_Obool)), _u9051), hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9050, hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), _u9051)) = _u9052) )).
% 29.00/29.24 cnf(matrix-4768, plain, ( ~class_Orderings_Olinorder(_u9050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9050), _u9051)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9050, tc_HOL_Obool)), _u9051), hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9050, hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), _u9051)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9050), _u9052), c_Big__Operators_Olinorder__class_OMax(_u9050, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9050, tc_HOL_Obool)), _u9051), hAPP(hAPP(c_Set_Oinsert(_u9050), _u9052), c_Orderings_Obot__class_Obot(tc_fun(_u9050, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4769, plain, ( ~class_Lattices_Olattice(_u9053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9053), _u9054)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9053), _u9055)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9053, tc_HOL_Obool)), _u9054), _u9055) = c_Orderings_Obot__class_Obot(tc_fun(_u9053, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9053), c_Big__Operators_Olattice__class_OInf__fin(_u9053, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9053, tc_HOL_Obool)), _u9054), _u9055))), c_Big__Operators_Olattice__class_OInf__fin(_u9053, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9053, tc_HOL_Obool)), _u9054), _u9055))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9053), c_Big__Operators_Olattice__class_OInf__fin(_u9053, _u9054)), c_Big__Operators_Olattice__class_OInf__fin(_u9053, _u9055))) )).
% 29.00/29.24 cnf(matrix-4770, plain, ( ~class_Lattices_Olattice(_u9056) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9056), _u9057)) | ( _u9057 = c_Orderings_Obot__class_Obot(tc_fun(_u9056, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9056), _u9058)) | ( _u9058 = c_Orderings_Obot__class_Obot(tc_fun(_u9056, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9056, tc_HOL_Obool)), _u9057), _u9058) != c_Orderings_Obot__class_Obot(tc_fun(_u9056, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u9056, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9056, tc_HOL_Obool)), _u9057), _u9058)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9056), c_Big__Operators_Olattice__class_OInf__fin(_u9056, _u9057)), c_Big__Operators_Olattice__class_OInf__fin(_u9056, _u9058))) )).
% 29.00/29.24 cnf(matrix-4771, plain, ( ~class_Orderings_Olinorder(_u9059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9059), _u9060)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9059), _u9061)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9059, tc_HOL_Obool)), _u9060), _u9061) = c_Orderings_Obot__class_Obot(tc_fun(_u9059, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9059), c_Big__Operators_Olinorder__class_OMax(_u9059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9059, tc_HOL_Obool)), _u9060), _u9061))), c_Big__Operators_Olinorder__class_OMax(_u9059, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9059, tc_HOL_Obool)), _u9060), _u9061))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9059), c_Big__Operators_Olinorder__class_OMax(_u9059, _u9060)), c_Big__Operators_Olinorder__class_OMax(_u9059, _u9061))) )).
% 29.00/29.24 cnf(matrix-4772, plain, ( ~class_Orderings_Olinorder(_u9062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9062), _u9063)) | ( _u9063 = c_Orderings_Obot__class_Obot(tc_fun(_u9062, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9062), _u9064)) | ( _u9064 = c_Orderings_Obot__class_Obot(tc_fun(_u9062, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9062, tc_HOL_Obool)), _u9063), _u9064) != c_Orderings_Obot__class_Obot(tc_fun(_u9062, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9062, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9062, tc_HOL_Obool)), _u9063), _u9064)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9062), c_Big__Operators_Olinorder__class_OMax(_u9062, _u9063)), c_Big__Operators_Olinorder__class_OMax(_u9062, _u9064))) )).
% 29.00/29.24 cnf(matrix-4773, plain, ( ~class_Orderings_Olinorder(_u9067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9067), _u9068)) | ( _u9068 = c_Orderings_Obot__class_Obot(tc_fun(_u9067, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9067), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9067), skolem132(_u9068, _u9067)), skolem133(_u9068, _u9067))), hAPP(hAPP(c_Set_Oinsert(_u9067), skolem132(_u9068, _u9067)), hAPP(hAPP(c_Set_Oinsert(_u9067), skolem133(_u9068, _u9067)), c_Orderings_Obot__class_Obot(tc_fun(_u9067, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9067), c_Big__Operators_Olinorder__class_OMax(_u9067, _u9068)), _u9068)) )).
% 29.00/29.24 cnf(matrix-4774, plain, ( ~class_Lattices_Olattice(_u9071) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9071), _u9072)) | ( _u9072 = c_Orderings_Obot__class_Obot(tc_fun(_u9071, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9071), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9071), skolem134(_u9072, _u9071)), skolem135(_u9072, _u9071))), hAPP(hAPP(c_Set_Oinsert(_u9071), skolem134(_u9072, _u9071)), hAPP(hAPP(c_Set_Oinsert(_u9071), skolem135(_u9072, _u9071)), c_Orderings_Obot__class_Obot(tc_fun(_u9071, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9071), c_Big__Operators_Olattice__class_OInf__fin(_u9071, _u9072)), _u9072)) )).
% 29.00/29.24 cnf(matrix-4775, plain, ( ~class_Lattices_Olattice(_u9075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9075), _u9076)) | ( _u9076 = c_Orderings_Obot__class_Obot(tc_fun(_u9075, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9075), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9075), skolem136(_u9076, _u9075)), skolem137(_u9076, _u9075))), hAPP(hAPP(c_Set_Oinsert(_u9075), skolem136(_u9076, _u9075)), hAPP(hAPP(c_Set_Oinsert(_u9075), skolem137(_u9076, _u9075)), c_Orderings_Obot__class_Obot(tc_fun(_u9075, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9075), c_Big__Operators_Olattice__class_OSup__fin(_u9075, _u9076)), _u9076)) )).
% 29.00/29.24 cnf(matrix-4776, plain, ( ~class_Orderings_Olinorder(_u9077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9077), _u9078)) | ~hBOOL(hAPP(hAPP(c_member(_u9077), _u9079), _u9078)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9077, tc_HOL_Obool)), _u9078), hAPP(hAPP(c_Set_Oinsert(_u9077), _u9079), c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9077, _u9078) = _u9079) )).
% 29.00/29.24 cnf(matrix-4777, plain, ( ~class_Orderings_Olinorder(_u9077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9077), _u9078)) | ~hBOOL(hAPP(hAPP(c_member(_u9077), _u9079), _u9078)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9077, tc_HOL_Obool)), _u9078), hAPP(hAPP(c_Set_Oinsert(_u9077), _u9079), c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9077, _u9078) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9077), _u9079), c_Big__Operators_Olinorder__class_OMin(_u9077, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9077, tc_HOL_Obool)), _u9078), hAPP(hAPP(c_Set_Oinsert(_u9077), _u9079), c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4778, plain, ( ~class_Orderings_Olinorder(_u9080) | ( c_Big__Operators_Olinorder__class_OMin(_u9080, hAPP(hAPP(c_Set_Oinsert(_u9080), _u9081), c_Orderings_Obot__class_Obot(tc_fun(_u9080, tc_HOL_Obool)))) = _u9081) )).
% 29.00/29.24 cnf(matrix-4779, plain, ( ~class_Orderings_Olinorder(_u9082) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9082), _u9083)) | ~hBOOL(hAPP(hAPP(c_member(_u9082), _u9084), _u9083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9082), c_Big__Operators_Olinorder__class_OMin(_u9082, _u9083)), _u9084)) )).
% 29.00/29.24 cnf(matrix-4780, plain, ( ~class_Orderings_Olinorder(_u9085) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9085), _u9086)) | ( _u9086 = c_Orderings_Obot__class_Obot(tc_fun(_u9085, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9085), c_Big__Operators_Olinorder__class_OMin(_u9085, _u9086)), _u9086)) )).
% 29.00/29.24 cnf(matrix-4781, plain, ( ~class_Orderings_Olinorder(_u9087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9087), _u9088)) | ~hBOOL(hAPP(hAPP(c_member(_u9087), _u9089), _u9088)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9087), _u9089), c_Big__Operators_Olinorder__class_OMin(_u9087, _u9088)) = c_Big__Operators_Olinorder__class_OMin(_u9087, _u9088)) )).
% 29.00/29.24 cnf(matrix-4782, plain, ( ~class_Orderings_Olinorder(_u9090) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9090, tc_HOL_Obool)), _u9091), _u9092)) | ( _u9091 = c_Orderings_Obot__class_Obot(tc_fun(_u9090, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9090), _u9092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9090), c_Big__Operators_Olinorder__class_OMin(_u9090, _u9092)), c_Big__Operators_Olinorder__class_OMin(_u9090, _u9091))) )).
% 29.00/29.24 cnf(matrix-4783, plain, ( ~class_Orderings_Olinorder(_u9093) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9093), _u9094)) | ( _u9094 = c_Orderings_Obot__class_Obot(tc_fun(_u9093, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9093, hAPP(hAPP(c_Set_Oinsert(_u9093), _u9095), _u9094)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9093), _u9095), c_Big__Operators_Olinorder__class_OMin(_u9093, _u9094))) )).
% 29.00/29.24 cnf(matrix-4784, plain, ( ~class_Orderings_Olinorder(_u9096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9096), _u9097)) | ( _u9098 = c_Orderings_Obot__class_Obot(tc_fun(_u9096, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9096, tc_HOL_Obool)), _u9098), _u9097)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9096), c_Big__Operators_Olinorder__class_OMin(_u9096, _u9098)), c_Big__Operators_Olinorder__class_OMin(_u9096, _u9097)) = c_Big__Operators_Olinorder__class_OMin(_u9096, _u9097)) )).
% 29.00/29.24 cnf(matrix-4785, plain, ( ~class_Orderings_Olinorder(_u9099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9099), _u9100)) | ( _u9100 = c_Orderings_Obot__class_Obot(tc_fun(_u9099, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9099), _u9101)) | ( _u9101 = c_Orderings_Obot__class_Obot(tc_fun(_u9099, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9099, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9099, tc_HOL_Obool)), _u9100), _u9101)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9099), c_Big__Operators_Olinorder__class_OMin(_u9099, _u9100)), c_Big__Operators_Olinorder__class_OMin(_u9099, _u9101))) )).
% 29.00/29.24 cnf(matrix-4786, plain, ( ~class_Orderings_Olinorder(_u9102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9102), _u9103)) | hBOOL(hAPP(hAPP(c_member(_u9102), _u9104), _u9103)) | ( _u9103 = c_Orderings_Obot__class_Obot(tc_fun(_u9102, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9102, hAPP(hAPP(c_Set_Oinsert(_u9102), _u9104), _u9103)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9102), _u9104), c_Big__Operators_Olinorder__class_OMin(_u9102, _u9103))) )).
% 29.00/29.24 cnf(matrix-4787, plain, ( ~class_Orderings_Olinorder(_u9105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9105), _u9106)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9105, tc_HOL_Obool)), _u9106), hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9105, hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), _u9106)) = _u9107) )).
% 29.00/29.24 cnf(matrix-4788, plain, ( ~class_Orderings_Olinorder(_u9105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9105), _u9106)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9105, tc_HOL_Obool)), _u9106), hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9105, hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), _u9106)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9105), _u9107), c_Big__Operators_Olinorder__class_OMin(_u9105, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9105, tc_HOL_Obool)), _u9106), hAPP(hAPP(c_Set_Oinsert(_u9105), _u9107), c_Orderings_Obot__class_Obot(tc_fun(_u9105, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4789, plain, ( ~class_Orderings_Olinorder(_u9108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9108), _u9109)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9108), _u9110)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9108, tc_HOL_Obool)), _u9109), _u9110) = c_Orderings_Obot__class_Obot(tc_fun(_u9108, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9108), c_Big__Operators_Olinorder__class_OMin(_u9108, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9108, tc_HOL_Obool)), _u9109), _u9110))), c_Big__Operators_Olinorder__class_OMin(_u9108, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9108, tc_HOL_Obool)), _u9109), _u9110))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9108), c_Big__Operators_Olinorder__class_OMin(_u9108, _u9109)), c_Big__Operators_Olinorder__class_OMin(_u9108, _u9110))) )).
% 29.00/29.24 cnf(matrix-4790, plain, ( ~class_Orderings_Olinorder(_u9111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9111), _u9112)) | ( _u9112 = c_Orderings_Obot__class_Obot(tc_fun(_u9111, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9111), _u9113)) | ( _u9113 = c_Orderings_Obot__class_Obot(tc_fun(_u9111, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9111, tc_HOL_Obool)), _u9112), _u9113) != c_Orderings_Obot__class_Obot(tc_fun(_u9111, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9111, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9111, tc_HOL_Obool)), _u9112), _u9113)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9111), c_Big__Operators_Olinorder__class_OMin(_u9111, _u9112)), c_Big__Operators_Olinorder__class_OMin(_u9111, _u9113))) )).
% 29.00/29.24 cnf(matrix-4791, plain, ( ~class_Groups_Olinordered__ab__group__add(_u9114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9114), _u9115)) | ( _u9115 = c_Orderings_Obot__class_Obot(tc_fun(_u9114, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9114), c_Big__Operators_Olinorder__class_OMin(_u9114, _u9115)) = c_Big__Operators_Olinorder__class_OMax(_u9114, hAPP(c_Set_Oimage(_u9114, _u9114, c_Groups_Ouminus__class_Ouminus(_u9114)), _u9115))) )).
% 29.00/29.24 cnf(matrix-4792, plain, ( ~class_Groups_Olinordered__ab__group__add(_u9116) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9116), _u9117)) | ( _u9117 = c_Orderings_Obot__class_Obot(tc_fun(_u9116, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9116), c_Big__Operators_Olinorder__class_OMax(_u9116, _u9117)) = c_Big__Operators_Olinorder__class_OMin(_u9116, hAPP(c_Set_Oimage(_u9116, _u9116, c_Groups_Ouminus__class_Ouminus(_u9116)), _u9117))) )).
% 29.00/29.24 cnf(matrix-4793, plain, ( ~class_Orderings_Olinorder(_u9120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9120), _u9121)) | ( _u9121 = c_Orderings_Obot__class_Obot(tc_fun(_u9120, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9120), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9120), skolem138(_u9121, _u9120)), skolem139(_u9121, _u9120))), hAPP(hAPP(c_Set_Oinsert(_u9120), skolem138(_u9121, _u9120)), hAPP(hAPP(c_Set_Oinsert(_u9120), skolem139(_u9121, _u9120)), c_Orderings_Obot__class_Obot(tc_fun(_u9120, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9120), c_Big__Operators_Olinorder__class_OMin(_u9120, _u9121)), _u9121)) )).
% 29.00/29.24 cnf(matrix-4794, plain, ( ~c_Finite__Set_Ofolding__idem(_u9122, _u9123, _u9124, _u9125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9122), _u9126)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9122), _u9127)) | ( hAPP(_u9125, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9122, tc_HOL_Obool)), _u9126), _u9127)) = hAPP(c_Fun_Ocomp(_u9123, _u9123, _u9123, hAPP(_u9125, _u9126)), hAPP(_u9125, _u9127))) )).
% 29.00/29.24 cnf(matrix-4795, plain, ( ~c_Finite__Set_Ofolding__idem(_u9128, _u9129, _u9130, _u9131) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9128), _u9132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9128, tc_HOL_Obool)), _u9133), _u9132)) | ( hAPP(c_Fun_Ocomp(_u9129, _u9129, _u9129, hAPP(_u9131, _u9132)), hAPP(_u9131, _u9133)) = hAPP(_u9131, _u9132)) )).
% 29.00/29.24 cnf(matrix-4796, plain, ( ~class_Orderings_Olinorder(_u9134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9134), _u9135)) | ~hBOOL(hAPP(hAPP(c_member(_u9134), _u9136), _u9135)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9134, tc_HOL_Obool)), _u9135), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9136), c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9134, c_Orderings_Oord__class_Omax(_u9134), _u9135) = _u9136) )).
% 29.00/29.24 cnf(matrix-4797, plain, ( ~class_Orderings_Olinorder(_u9134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9134), _u9135)) | ~hBOOL(hAPP(hAPP(c_member(_u9134), _u9136), _u9135)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9134, tc_HOL_Obool)), _u9135), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9136), c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9134, c_Orderings_Oord__class_Omax(_u9134), _u9135) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9134), _u9136), c_Big__Operators_Olattice_OSup__fin(_u9134, c_Orderings_Oord__class_Omax(_u9134), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9134, tc_HOL_Obool)), _u9135), hAPP(hAPP(c_Set_Oinsert(_u9134), _u9136), c_Orderings_Obot__class_Obot(tc_fun(_u9134, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4798, plain, ( ( hAPP(c_Fun_Ocomp(_u9138, _u9138, _u9141, hAPP(_u9139, _u9142)), hAPP(c_Fun_Ocomp(_u9138, _u9138, _u9141, hAPP(_u9139, _u9142)), _u9143)) = hAPP(c_Fun_Ocomp(_u9138, _u9138, _u9141, hAPP(_u9139, _u9142)), _u9143)) | ~c_Finite__Set_Ofolding__idem(_u9137, _u9138, _u9139, _u9140) )).
% 29.00/29.24 cnf(matrix-4799, plain, ( ( hAPP(c_Fun_Ocomp(_u9145, _u9145, _u9145, hAPP(_u9146, _u9148)), hAPP(_u9146, _u9148)) = hAPP(_u9146, _u9148)) | ~c_Finite__Set_Ofolding__idem(_u9144, _u9145, _u9146, _u9147) )).
% 29.00/29.24 cnf(matrix-4800, plain, ( ~class_Orderings_Olinorder(_u9149) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9149), _u9150)) | ~hBOOL(hAPP(hAPP(c_member(_u9149), _u9151), _u9150)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9149), _u9151), c_Big__Operators_Olattice_OSup__fin(_u9149, c_Orderings_Oord__class_Omax(_u9149), _u9150)) = c_Big__Operators_Olattice_OSup__fin(_u9149, c_Orderings_Oord__class_Omax(_u9149), _u9150)) )).
% 29.00/29.24 cnf(matrix-4801, plain, ( ~class_Orderings_Olinorder(_u9152) | ( c_Big__Operators_Olattice_OSup__fin(_u9152, c_Orderings_Oord__class_Omax(_u9152), hAPP(hAPP(c_Set_Oinsert(_u9152), _u9153), c_Orderings_Obot__class_Obot(tc_fun(_u9152, tc_HOL_Obool)))) = _u9153) )).
% 29.00/29.24 cnf(matrix-4802, plain, ( ~class_Orderings_Olinorder(_u9154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9154), _u9155)) | ( _u9155 = c_Orderings_Obot__class_Obot(tc_fun(_u9154, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9154, c_Orderings_Oord__class_Omax(_u9154), hAPP(hAPP(c_Set_Oinsert(_u9154), _u9156), _u9155)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9154), _u9156), c_Big__Operators_Olattice_OSup__fin(_u9154, c_Orderings_Oord__class_Omax(_u9154), _u9155))) )).
% 29.00/29.24 cnf(matrix-4803, plain, ( ~class_Orderings_Olinorder(_u9157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9157), _u9158)) | ( _u9159 = c_Orderings_Obot__class_Obot(tc_fun(_u9157, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9157, tc_HOL_Obool)), _u9159), _u9158)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9157), c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), _u9159)), c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), _u9158)) = c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), _u9158)) )).
% 29.00/29.24 cnf(matrix-4804, plain, ( ~class_Orderings_Olinorder(_u9160) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9160), _u9161)) | ~hBOOL(hAPP(hAPP(c_member(_u9160), _u9162), _u9161)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9160), _u9162), c_Big__Operators_Olattice_OSup__fin(_u9160, c_Orderings_Oord__class_Omax(_u9160), _u9161)) = _u9162) )).
% 29.00/29.24 cnf(matrix-4805, plain, ( ~class_Orderings_Olinorder(_u9163) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9163), _u9164)) | ( _u9164 = c_Orderings_Obot__class_Obot(tc_fun(_u9163, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9163), _u9165)) | ( _u9165 = c_Orderings_Obot__class_Obot(tc_fun(_u9163, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9163, c_Orderings_Oord__class_Omax(_u9163), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9163, tc_HOL_Obool)), _u9164), _u9165)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9163), c_Big__Operators_Olattice_OSup__fin(_u9163, c_Orderings_Oord__class_Omax(_u9163), _u9164)), c_Big__Operators_Olattice_OSup__fin(_u9163, c_Orderings_Oord__class_Omax(_u9163), _u9165))) )).
% 29.00/29.24 cnf(matrix-4806, plain, ( ~class_Orderings_Olinorder(_u9166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9167)) | hBOOL(hAPP(hAPP(c_member(_u9166), _u9168), _u9167)) | ( _u9167 = c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), _u9167)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9166), _u9168), c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), _u9167))) )).
% 29.00/29.24 cnf(matrix-4807, plain, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9170)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9169, tc_HOL_Obool)), _u9170), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), _u9170)) = _u9171) )).
% 29.00/29.24 cnf(matrix-4808, plain, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9170)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9169, tc_HOL_Obool)), _u9170), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), _u9170)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9169), _u9171), c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9169, tc_HOL_Obool)), _u9170), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4809, plain, ( ~class_Orderings_Olinorder(_u9172) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9173)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9174)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174) = c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9172), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174))), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9172), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), _u9173)), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), _u9174))) )).
% 29.00/29.24 cnf(matrix-4810, plain, ( ~class_Orderings_Olinorder(_u9175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9175), _u9176)) | ( _u9176 = c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9175), _u9177)) | ( _u9177 = c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177) != c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9175), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), _u9176)), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), _u9177))) )).
% 29.00/29.24 cnf(matrix-4811, plain, ( ~c_Finite__Set_Ofolding__idem(_u9178, _u9179, _u9180, _u9181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9178), _u9182)) | ~hBOOL(hAPP(hAPP(c_member(_u9178), _u9183), _u9182)) | ( hAPP(c_Fun_Ocomp(_u9179, _u9179, _u9179, hAPP(_u9181, _u9182)), hAPP(_u9180, _u9183)) = hAPP(_u9181, _u9182)) )).
% 29.00/29.24 cnf(matrix-4812, plain, ( ~c_Finite__Set_Ofolding__idem(_u9184, _u9185, _u9186, _u9187) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9184), _u9188)) | ( hAPP(_u9187, hAPP(hAPP(c_Set_Oinsert(_u9184), _u9189), _u9188)) = hAPP(c_Fun_Ocomp(_u9185, _u9185, _u9185, hAPP(_u9187, _u9188)), hAPP(_u9186, _u9189))) )).
% 29.00/29.24 cnf(matrix-4813, plain, ( ~class_Orderings_Olinorder(_u9192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9192), _u9193)) | ( _u9193 = c_Orderings_Obot__class_Obot(tc_fun(_u9192, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9192), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9192), skolem140(_u9193, _u9192)), skolem141(_u9193, _u9192))), hAPP(hAPP(c_Set_Oinsert(_u9192), skolem140(_u9193, _u9192)), hAPP(hAPP(c_Set_Oinsert(_u9192), skolem141(_u9193, _u9192)), c_Orderings_Obot__class_Obot(tc_fun(_u9192, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9192), c_Big__Operators_Olattice_OSup__fin(_u9192, c_Orderings_Oord__class_Omax(_u9192), _u9193)), _u9193)) )).
% 29.00/29.24 cnf(matrix-4814, plain, ( ~class_Orderings_Olinorder(_u9194) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9194), _u9195)) | ( _u9195 = c_Orderings_Obot__class_Obot(tc_fun(_u9194, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9194), c_Big__Operators_Olattice_OInf__fin(_u9194, c_Orderings_Oord__class_Omin(_u9194), _u9195)), c_Big__Operators_Olattice_OSup__fin(_u9194, c_Orderings_Oord__class_Omax(_u9194), _u9195))) )).
% 29.00/29.24 cnf(matrix-4815, plain, ( ~class_Orderings_Olinorder(_u9196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9196), _u9197)) | ~hBOOL(hAPP(hAPP(c_member(_u9196), _u9198), _u9197)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9196, tc_HOL_Obool)), _u9197), hAPP(hAPP(c_Set_Oinsert(_u9196), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9196, c_Orderings_Oord__class_Omin(_u9196), _u9197) = _u9198) )).
% 29.00/29.24 cnf(matrix-4816, plain, ( ~class_Orderings_Olinorder(_u9196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9196), _u9197)) | ~hBOOL(hAPP(hAPP(c_member(_u9196), _u9198), _u9197)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9196, tc_HOL_Obool)), _u9197), hAPP(hAPP(c_Set_Oinsert(_u9196), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9196, c_Orderings_Oord__class_Omin(_u9196), _u9197) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9196), _u9198), c_Big__Operators_Olattice_OInf__fin(_u9196, c_Orderings_Oord__class_Omin(_u9196), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9196, tc_HOL_Obool)), _u9197), hAPP(hAPP(c_Set_Oinsert(_u9196), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4817, plain, ( ~c_Finite__Set_Ofolding__one(_u9201, _u9202, _u9203) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9201), _u9204)) | ( _u9204 = c_Orderings_Obot__class_Obot(tc_fun(_u9201, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9201), hAPP(hAPP(_u9202, skolem142(_u9204, _u9203, _u9202, _u9201)), skolem143(_u9204, _u9203, _u9202, _u9201))), hAPP(hAPP(c_Set_Oinsert(_u9201), skolem142(_u9204, _u9203, _u9202, _u9201)), hAPP(hAPP(c_Set_Oinsert(_u9201), skolem143(_u9204, _u9203, _u9202, _u9201)), c_Orderings_Obot__class_Obot(tc_fun(_u9201, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9201), hAPP(_u9203, _u9204)), _u9204)) )).
% 29.00/29.24 cnf(matrix-4818, plain, ( ~class_Orderings_Olinorder(_u9205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9205), _u9206)) | ~hBOOL(hAPP(hAPP(c_member(_u9205), _u9207), _u9206)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9205), _u9207), c_Big__Operators_Olattice_OInf__fin(_u9205, c_Orderings_Oord__class_Omin(_u9205), _u9206)) = c_Big__Operators_Olattice_OInf__fin(_u9205, c_Orderings_Oord__class_Omin(_u9205), _u9206)) )).
% 29.00/29.24 cnf(matrix-4819, plain, ( ~class_Orderings_Olinorder(_u9208) | ( c_Big__Operators_Olattice_OInf__fin(_u9208, c_Orderings_Oord__class_Omin(_u9208), hAPP(hAPP(c_Set_Oinsert(_u9208), _u9209), c_Orderings_Obot__class_Obot(tc_fun(_u9208, tc_HOL_Obool)))) = _u9209) )).
% 29.00/29.24 cnf(matrix-4820, plain, ( ~class_Orderings_Olinorder(_u9210) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9210), _u9211)) | ( _u9211 = c_Orderings_Obot__class_Obot(tc_fun(_u9210, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9210, c_Orderings_Oord__class_Omin(_u9210), hAPP(hAPP(c_Set_Oinsert(_u9210), _u9212), _u9211)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9210), _u9212), c_Big__Operators_Olattice_OInf__fin(_u9210, c_Orderings_Oord__class_Omin(_u9210), _u9211))) )).
% 29.00/29.24 cnf(matrix-4821, plain, ( ~class_Orderings_Olinorder(_u9213) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9213), _u9214)) | ( _u9215 = c_Orderings_Obot__class_Obot(tc_fun(_u9213, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9213, tc_HOL_Obool)), _u9215), _u9214)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9213), c_Big__Operators_Olattice_OInf__fin(_u9213, c_Orderings_Oord__class_Omin(_u9213), _u9215)), c_Big__Operators_Olattice_OInf__fin(_u9213, c_Orderings_Oord__class_Omin(_u9213), _u9214)) = c_Big__Operators_Olattice_OInf__fin(_u9213, c_Orderings_Oord__class_Omin(_u9213), _u9214)) )).
% 29.00/29.24 cnf(matrix-4822, plain, ( ~class_Orderings_Olinorder(_u9216) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9216), _u9217)) | ~hBOOL(hAPP(hAPP(c_member(_u9216), _u9218), _u9217)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9216), _u9218), c_Big__Operators_Olattice_OInf__fin(_u9216, c_Orderings_Oord__class_Omin(_u9216), _u9217)) = _u9218) )).
% 29.00/29.24 cnf(matrix-4823, plain, ( ~class_Orderings_Olinorder(_u9219) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9219), _u9220)) | ( _u9220 = c_Orderings_Obot__class_Obot(tc_fun(_u9219, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9219), _u9221)) | ( _u9221 = c_Orderings_Obot__class_Obot(tc_fun(_u9219, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9219, c_Orderings_Oord__class_Omin(_u9219), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9219, tc_HOL_Obool)), _u9220), _u9221)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9219), c_Big__Operators_Olattice_OInf__fin(_u9219, c_Orderings_Oord__class_Omin(_u9219), _u9220)), c_Big__Operators_Olattice_OInf__fin(_u9219, c_Orderings_Oord__class_Omin(_u9219), _u9221))) )).
% 29.00/29.24 cnf(matrix-4824, plain, ( ~class_Orderings_Olinorder(_u9222) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9222), _u9223)) | hBOOL(hAPP(hAPP(c_member(_u9222), _u9224), _u9223)) | ( _u9223 = c_Orderings_Obot__class_Obot(tc_fun(_u9222, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9222, c_Orderings_Oord__class_Omin(_u9222), hAPP(hAPP(c_Set_Oinsert(_u9222), _u9224), _u9223)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9222), _u9224), c_Big__Operators_Olattice_OInf__fin(_u9222, c_Orderings_Oord__class_Omin(_u9222), _u9223))) )).
% 29.00/29.24 cnf(matrix-4825, plain, ( ~class_Orderings_Olinorder(_u9225) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9225), _u9226)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9225, tc_HOL_Obool)), _u9226), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9225, c_Orderings_Oord__class_Omin(_u9225), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), _u9226)) = _u9227) )).
% 29.00/29.24 cnf(matrix-4826, plain, ( ~class_Orderings_Olinorder(_u9225) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9225), _u9226)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9225, tc_HOL_Obool)), _u9226), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9225, c_Orderings_Oord__class_Omin(_u9225), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), _u9226)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9225), _u9227), c_Big__Operators_Olattice_OInf__fin(_u9225, c_Orderings_Oord__class_Omin(_u9225), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9225, tc_HOL_Obool)), _u9226), hAPP(hAPP(c_Set_Oinsert(_u9225), _u9227), c_Orderings_Obot__class_Obot(tc_fun(_u9225, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4827, plain, ( ~class_Orderings_Olinorder(_u9228) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9228), _u9229)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9228), _u9230)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9228, tc_HOL_Obool)), _u9229), _u9230) = c_Orderings_Obot__class_Obot(tc_fun(_u9228, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9228), c_Big__Operators_Olattice_OInf__fin(_u9228, c_Orderings_Oord__class_Omin(_u9228), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9228, tc_HOL_Obool)), _u9229), _u9230))), c_Big__Operators_Olattice_OInf__fin(_u9228, c_Orderings_Oord__class_Omin(_u9228), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9228, tc_HOL_Obool)), _u9229), _u9230))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9228), c_Big__Operators_Olattice_OInf__fin(_u9228, c_Orderings_Oord__class_Omin(_u9228), _u9229)), c_Big__Operators_Olattice_OInf__fin(_u9228, c_Orderings_Oord__class_Omin(_u9228), _u9230))) )).
% 29.00/29.24 cnf(matrix-4828, plain, ( ~class_Orderings_Olinorder(_u9231) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9231), _u9232)) | ( _u9232 = c_Orderings_Obot__class_Obot(tc_fun(_u9231, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9231), _u9233)) | ( _u9233 = c_Orderings_Obot__class_Obot(tc_fun(_u9231, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9231, tc_HOL_Obool)), _u9232), _u9233) != c_Orderings_Obot__class_Obot(tc_fun(_u9231, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9231, c_Orderings_Oord__class_Omin(_u9231), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9231, tc_HOL_Obool)), _u9232), _u9233)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9231), c_Big__Operators_Olattice_OInf__fin(_u9231, c_Orderings_Oord__class_Omin(_u9231), _u9232)), c_Big__Operators_Olattice_OInf__fin(_u9231, c_Orderings_Oord__class_Omin(_u9231), _u9233))) )).
% 29.00/29.24 cnf(matrix-4829, plain, ( ~class_Orderings_Olinorder(_u9236) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9236), _u9237)) | ( _u9237 = c_Orderings_Obot__class_Obot(tc_fun(_u9236, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9236), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9236), skolem144(_u9237, _u9236)), skolem145(_u9237, _u9236))), hAPP(hAPP(c_Set_Oinsert(_u9236), skolem144(_u9237, _u9236)), hAPP(hAPP(c_Set_Oinsert(_u9236), skolem145(_u9237, _u9236)), c_Orderings_Obot__class_Obot(tc_fun(_u9236, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9236), c_Big__Operators_Olattice_OInf__fin(_u9236, c_Orderings_Oord__class_Omin(_u9236), _u9237)), _u9237)) )).
% 29.00/29.24 cnf(matrix-4830, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9238), _u9239)) | ~hBOOL(hAPP(hAPP(c_member(_u9238), _u9240), _u9239)) | ( hAPP(c_Finite__Set_Ocard(_u9238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9238, tc_HOL_Obool)), _u9239), hAPP(hAPP(c_Set_Oinsert(_u9238), _u9240), c_Orderings_Obot__class_Obot(tc_fun(_u9238, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9238), _u9239)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.24 cnf(matrix-4831, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9238), _u9239)) | hBOOL(hAPP(hAPP(c_member(_u9238), _u9240), _u9239)) | ( hAPP(c_Finite__Set_Ocard(_u9238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9238, tc_HOL_Obool)), _u9239), hAPP(hAPP(c_Set_Oinsert(_u9238), _u9240), c_Orderings_Obot__class_Obot(tc_fun(_u9238, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u9238), _u9239)) )).
% 29.00/29.24 cnf(matrix-4832, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9241), _u9242)) | ~hBOOL(hAPP(hAPP(c_member(_u9241), _u9243), _u9242)) | ( hAPP(c_Finite__Set_Ocard(_u9241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9241, tc_HOL_Obool)), _u9242), hAPP(hAPP(c_Set_Oinsert(_u9241), _u9243), c_Orderings_Obot__class_Obot(tc_fun(_u9241, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9241), _u9242)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.24 cnf(matrix-4833, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9244), _u9245)) | ~hBOOL(hAPP(hAPP(c_member(_u9244), _u9246), _u9245)) | ( hAPP(c_Finite__Set_Ocard(_u9244), _u9245) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9244), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9244, tc_HOL_Obool)), _u9245), hAPP(hAPP(c_Set_Oinsert(_u9244), _u9246), c_Orderings_Obot__class_Obot(tc_fun(_u9244, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4834, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u9247) = 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)), _u9247))) )).
% 29.00/29.24 cnf(matrix-4835, plain, ( ~c_Nat__Transfer_Onat__set(_u9248) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u9248) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9248))) )).
% 29.00/29.24 cnf(matrix-4836, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9249), c_Orderings_Obot__class_Obot(tc_fun(_u9249, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4837, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9250), _u9251)) | ( hAPP(c_Finite__Set_Ocard(_u9250), _u9251) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4838, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9254), _u9256) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9256 = c_Orderings_Obot__class_Obot(tc_fun(_u9254, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9254), _u9256)) )).
% 29.00/29.24 cnf(matrix-4839, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9255), _u9257) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9257 != c_Orderings_Obot__class_Obot(tc_fun(_u9255, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4840, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9255), _u9257) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9255), _u9257)) )).
% 29.00/29.24 cnf(matrix-4841, 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(_u9258), _u9259))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9258), _u9259)) )).
% 29.00/29.24 cnf(matrix-4842, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9260), _u9261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9260), _u9261)), hAPP(c_Finite__Set_Ocard(_u9260), hAPP(hAPP(c_Set_Oinsert(_u9260), _u9262), _u9261)))) )).
% 29.00/29.24 cnf(matrix-4843, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9263), _u9264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9263, tc_HOL_Obool)), _u9265), _u9264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9263), _u9265)), hAPP(c_Finite__Set_Ocard(_u9263), _u9264))) )).
% 29.00/29.24 cnf(matrix-4844, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9266), _u9267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9266, tc_HOL_Obool)), _u9268), _u9267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9266), _u9267)), hAPP(c_Finite__Set_Ocard(_u9266), _u9268))) | ( _u9268 = _u9267) )).
% 29.00/29.24 cnf(matrix-4845, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9269), _u9270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9271), hAPP(c_Set_Oimage(_u9269, _u9271, _u9272), _u9270))), hAPP(c_Finite__Set_Ocard(_u9269), _u9270))) )).
% 29.00/29.24 cnf(matrix-4846, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9273), _u9274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9273, tc_HOL_Obool)), _u9275), _u9274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9273), _u9275)), hAPP(c_Finite__Set_Ocard(_u9273), _u9274))) )).
% 29.00/29.24 cnf(matrix-4847, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9276), _u9277)) | hBOOL(hAPP(hAPP(c_member(_u9276), _u9278), _u9277)) | ( hAPP(c_Finite__Set_Ocard(_u9276), hAPP(hAPP(c_Set_Oinsert(_u9276), _u9278), _u9277)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9276), _u9277))) )).
% 29.00/29.24 cnf(matrix-4848, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9279), _u9280)) | ~hBOOL(hAPP(hAPP(c_member(_u9279), _u9281), _u9280)) | ( hAPP(c_Finite__Set_Ocard(_u9279), hAPP(hAPP(c_Set_Oinsert(_u9279), _u9281), _u9280)) = hAPP(c_Finite__Set_Ocard(_u9279), _u9280)) )).
% 29.00/29.24 cnf(matrix-4849, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9279), _u9280)) | hBOOL(hAPP(hAPP(c_member(_u9279), _u9281), _u9280)) | ( hAPP(c_Finite__Set_Ocard(_u9279), hAPP(hAPP(c_Set_Oinsert(_u9279), _u9281), _u9280)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9279), _u9280))) )).
% 29.00/29.24 cnf(matrix-4850, 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(_u9284), _u9286))) | ( _u9286 != c_Orderings_Obot__class_Obot(tc_fun(_u9284, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4851, 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(_u9284), _u9286))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9284), _u9286)) )).
% 29.00/29.24 cnf(matrix-4852, plain, ( ( _u9287 = c_Orderings_Obot__class_Obot(tc_fun(_u9285, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9285), _u9287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9285), _u9287))) )).
% 29.00/29.24 cnf(matrix-4853, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9288), _u9289)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9288), _u9290)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9288), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9288, tc_HOL_Obool)), _u9289), _u9290))), hAPP(c_Finite__Set_Ocard(_u9288), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9288, tc_HOL_Obool)), _u9289), _u9290))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9288), _u9289)), hAPP(c_Finite__Set_Ocard(_u9288), _u9290))) )).
% 29.00/29.24 cnf(matrix-4854, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9291), _u9292)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9291), _u9293)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9291), _u9292)), hAPP(c_Finite__Set_Ocard(_u9291), _u9293)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9291), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9291, tc_HOL_Obool)), _u9292), _u9293))), hAPP(c_Finite__Set_Ocard(_u9291), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9291, tc_HOL_Obool)), _u9292), _u9293)))) )).
% 29.00/29.24 cnf(matrix-4855, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9294), _u9295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9294, tc_HOL_Obool)), _u9295), _u9296)) | ( hAPP(c_Finite__Set_Ocard(_u9294), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9294, tc_HOL_Obool)), _u9296), _u9295)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9294), _u9296)), hAPP(c_Finite__Set_Ocard(_u9294), _u9295))) )).
% 29.00/29.24 cnf(matrix-4856, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9297, tc_HOL_Obool)), _u9298), _u9299))) | ( hAPP(c_Finite__Set_Ocard(_u9297), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9297, tc_HOL_Obool)), _u9298), _u9299)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9297), _u9298)), hAPP(c_Finite__Set_Ocard(_u9297), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9297, tc_HOL_Obool)), _u9298), _u9299)))) )).
% 29.00/29.24 cnf(matrix-4857, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9300), _u9301)) | 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(_u9300), _u9302)), hAPP(c_Finite__Set_Ocard(_u9300), _u9301))), hAPP(c_Finite__Set_Ocard(_u9300), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9300, tc_HOL_Obool)), _u9302), _u9301)))) )).
% 29.00/29.24 cnf(matrix-4858, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9303), _u9304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9303, tc_HOL_Obool)), _u9305), _u9304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9303), _u9305)), hAPP(c_Finite__Set_Ocard(_u9303), _u9304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9303, tc_HOL_Obool)), _u9305), _u9304)) )).
% 29.00/29.24 cnf(matrix-4859, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9306), _u9307)) | ( hAPP(c_Finite__Set_Ocard(_u9306), hAPP(hAPP(c_Set_Oinsert(_u9306), _u9308), _u9307)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9306), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9306, tc_HOL_Obool)), _u9307), hAPP(hAPP(c_Set_Oinsert(_u9306), _u9308), c_Orderings_Obot__class_Obot(tc_fun(_u9306, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4860, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9309), _u9310)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9309), _u9311)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9309, tc_HOL_Obool)), _u9310), _u9311) != c_Orderings_Obot__class_Obot(tc_fun(_u9309, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u9309), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9309, tc_HOL_Obool)), _u9310), _u9311)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9309), _u9310)), hAPP(c_Finite__Set_Ocard(_u9309), _u9311))) )).
% 29.00/29.24 cnf(matrix-4861, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9312), _u9313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9312), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9312, tc_HOL_Obool)), _u9313), hAPP(hAPP(c_Set_Oinsert(_u9312), _u9314), c_Orderings_Obot__class_Obot(tc_fun(_u9312, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u9312), _u9313))) )).
% 29.00/29.24 cnf(matrix-4862, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9315), _u9316)) | hBOOL(hAPP(hAPP(c_member(_u9315), _u9317), _u9316)) | ( hAPP(c_Finite__Set_Ocard(_u9315), hAPP(hAPP(c_Set_Oinsert(_u9315), _u9317), _u9316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9315), _u9316))) )).
% 29.00/29.24 cnf(matrix-4863, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9318), _u9319)) | ~hBOOL(hAPP(hAPP(c_member(_u9318), _u9320), _u9319)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u9318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9318, tc_HOL_Obool)), _u9319), hAPP(hAPP(c_Set_Oinsert(_u9318), _u9320), c_Orderings_Obot__class_Obot(tc_fun(_u9318, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u9318), _u9319)) )).
% 29.00/29.24 cnf(matrix-4864, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9321), _u9322)) | ~hBOOL(hAPP(hAPP(c_member(_u9321), _u9323), _u9322)) | ~hBOOL(hAPP(hAPP(c_member(_u9321), _u9324), _u9322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9321), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9321, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9321, tc_HOL_Obool)), _u9322), hAPP(hAPP(c_Set_Oinsert(_u9321), _u9323), c_Orderings_Obot__class_Obot(tc_fun(_u9321, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u9321), _u9324), c_Orderings_Obot__class_Obot(tc_fun(_u9321, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u9321), _u9322))) )).
% 29.00/29.24 cnf(matrix-4865, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9325), _u9326)) | ~hBOOL(hAPP(hAPP(c_member(_u9325), _u9327), _u9326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9325), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9325, tc_HOL_Obool)), _u9326), hAPP(hAPP(c_Set_Oinsert(_u9325), _u9327), c_Orderings_Obot__class_Obot(tc_fun(_u9325, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u9325), _u9326))) )).
% 29.00/29.24 cnf(matrix-4866, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9328), _u9329)) | ~hBOOL(hAPP(hAPP(c_member(_u9328), _u9330), _u9329)) | hBOOL(hAPP(hAPP(c_member(_u9328), _u9330), _u9331)) | ( hAPP(c_Finite__Set_Ocard(_u9328), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9328, tc_HOL_Obool)), _u9329), hAPP(hAPP(c_Set_Oinsert(_u9328), _u9330), _u9331))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9328), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9328, tc_HOL_Obool)), _u9329), _u9331))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.24 cnf(matrix-4867, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9332), _u9333)) | ( hAPP(c_Finite__Set_Ocard(_u9332), hAPP(hAPP(c_Set_Oinsert(_u9332), _u9334), _u9333)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u9332), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9332, tc_HOL_Obool)), _u9333), hAPP(hAPP(c_Set_Oinsert(_u9332), _u9334), c_Orderings_Obot__class_Obot(tc_fun(_u9332, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4868, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9336), _u9337)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9336), _u9338)) | ( hAPP(c_Finite__Set_Ocard(_u9336), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9336, tc_HOL_Obool)), _u9337), _u9338)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9336), _u9337)), hAPP(c_Finite__Set_Ocard(_u9336), _u9338))) | hBOOL(hAPP(hAPP(c_member(_u9336), skolem146(_u9338, _u9337, _u9336)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9336, tc_HOL_Obool)), _u9337), _u9338))) )).
% 29.00/29.24 cnf(matrix-4869, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9336), _u9337)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9336), _u9338)) | ( hAPP(c_Finite__Set_Ocard(_u9336), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9336, tc_HOL_Obool)), _u9337), _u9338)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9336), _u9337)), hAPP(c_Finite__Set_Ocard(_u9336), _u9338))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4870, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9346), _u9348) != hAPP(c_Nat_OSuc, _u9350)) | ( _u9348 = hAPP(hAPP(c_Set_Oinsert(_u9346), skolem147(_u9350, _u9348, _u9346)), skolem148(_u9350, _u9348, _u9346))) )).
% 29.00/29.24 cnf(matrix-4871, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9346), _u9348) != hAPP(c_Nat_OSuc, _u9350)) | ~hBOOL(hAPP(hAPP(c_member(_u9346), skolem147(_u9350, _u9348, _u9346)), skolem148(_u9350, _u9348, _u9346))) )).
% 29.00/29.24 cnf(matrix-4872, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9346), _u9348) != hAPP(c_Nat_OSuc, _u9350)) | ( hAPP(c_Finite__Set_Ocard(_u9346), skolem148(_u9350, _u9348, _u9346)) = _u9350) )).
% 29.00/29.24 cnf(matrix-4873, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9346), _u9348) != hAPP(c_Nat_OSuc, _u9350)) | ( _u9350 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem148(_u9350, _u9348, _u9346) = c_Orderings_Obot__class_Obot(tc_fun(_u9346, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4874, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9347), _u9349) = hAPP(c_Nat_OSuc, _u9351)) | ( _u9349 != hAPP(hAPP(c_Set_Oinsert(_u9347), _u9342), _u9341)) | hBOOL(hAPP(hAPP(c_member(_u9347), _u9342), _u9341)) | ( hAPP(c_Finite__Set_Ocard(_u9347), _u9341) != _u9351) | ( _u9351 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4875, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9347), _u9349) = hAPP(c_Nat_OSuc, _u9351)) | ( _u9349 != hAPP(hAPP(c_Set_Oinsert(_u9347), _u9342), _u9341)) | hBOOL(hAPP(hAPP(c_member(_u9347), _u9342), _u9341)) | ( hAPP(c_Finite__Set_Ocard(_u9347), _u9341) != _u9351) | ( _u9341 != c_Orderings_Obot__class_Obot(tc_fun(_u9347, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4876, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9356), _u9358)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9360), _u9362)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9356, _u9360)), c_Sum__Type_OPlus(_u9356, _u9360, _u9358, _u9362)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9356), _u9358)), hAPP(c_Finite__Set_Ocard(_u9360), _u9362))) )).
% 29.00/29.24 cnf(matrix-4877, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9357, _u9361)), c_Sum__Type_OPlus(_u9357, _u9361, _u9359, _u9363)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9357), _u9359)) )).
% 29.00/29.24 cnf(matrix-4878, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9357, _u9361)), c_Sum__Type_OPlus(_u9357, _u9361, _u9359, _u9363)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9361), _u9363)) )).
% 29.00/29.24 cnf(matrix-4879, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9365), _u9366)) | ~hBOOL(hAPP(hAPP(c_member(_u9365), _u9367), _u9366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9365, _u9364), hAPP(hAPP(c_COMBC(_u9365, _u9364, _u9364), hAPP(hAPP(c_COMBS(_u9365, _u9364, tc_fun(_u9364, _u9364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9364, tc_fun(_u9364, _u9364)), _u9365), c_If(_u9364)), hAPP(hAPP(c_COMBC(_u9365, _u9365, tc_HOL_Obool), c_fequal), _u9367))), _u9368)), _u9369)), _u9366) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9364), hAPP(_u9368, _u9367)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9369), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9365), _u9366)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 29.00/29.24 cnf(matrix-4880, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9365), _u9366)) | hBOOL(hAPP(hAPP(c_member(_u9365), _u9367), _u9366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9365, _u9364), hAPP(hAPP(c_COMBC(_u9365, _u9364, _u9364), hAPP(hAPP(c_COMBS(_u9365, _u9364, tc_fun(_u9364, _u9364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9364, tc_fun(_u9364, _u9364)), _u9365), c_If(_u9364)), hAPP(hAPP(c_COMBC(_u9365, _u9365, tc_HOL_Obool), c_fequal), _u9367))), _u9368)), _u9369)), _u9366) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9369), hAPP(c_Finite__Set_Ocard(_u9365), _u9366))) )).
% 29.00/29.24 cnf(matrix-4881, plain, ( ~class_Fields_Olinordered__field(_u9370) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9370), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9371, _u9370), _u9372), _u9373)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9371, _u9370), hAPP(hAPP(c_COMBB(_u9370, _u9370, _u9371), c_Groups_Oabs__class_Oabs(_u9370)), _u9372)), _u9373)) )).
% 29.00/29.24 cnf(matrix-4882, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9374) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9375, _u9374), hAPP(c_COMBK(_u9374, _u9375), c_Groups_Oone__class_Oone(_u9374))), _u9376) = c_Groups_Oone__class_Oone(_u9374)) )).
% 29.00/29.24 cnf(matrix-4883, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9377) | ~class_Rings_Oring__1(_u9377) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9377), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9378, tc_Int_Oint), _u9379), _u9380)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9378, _u9377), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9377, _u9378), c_Int_Oring__1__class_Oof__int(_u9377)), _u9379)), _u9380)) )).
% 29.00/29.24 cnf(matrix-4884, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9381, tc_Nat_Onat), _u9382), _u9383)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9381, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9381), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9382)), _u9383)) )).
% 29.00/29.24 cnf(matrix-4885, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9384) | ~class_Rings_Osemiring__1(_u9384) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9384), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9385, tc_Nat_Onat), _u9386), _u9387)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9385, _u9384), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9384, _u9385), c_Nat_Osemiring__1__class_Oof__nat(_u9384)), _u9386)), _u9387)) )).
% 29.00/29.24 cnf(matrix-4886, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9388, tc_Nat_Onat), _u9389), _u9390) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9388, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9388), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9389)), _u9390))) )).
% 29.00/29.24 cnf(matrix-4887, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9391) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9392, _u9391), hAPP(hAPP(c_COMBS(_u9392, _u9391, _u9391), hAPP(hAPP(c_COMBB(_u9391, tc_fun(_u9391, _u9391), _u9392), c_Groups_Otimes__class_Otimes(_u9391)), _u9393)), _u9394)), _u9395) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9391), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9392, _u9391), _u9393), _u9395)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9392, _u9391), _u9394), _u9395))) )).
% 29.00/29.24 cnf(matrix-4888, plain, ( ~class_Groups_Ocomm__monoid__add(_u9396) | ~class_Groups_Ocomm__monoid__mult(_u9396) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u9396), _u9397), _u9398) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9396), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9396, tc_Int_Oint), _u9397), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9398))) )).
% 29.00/29.24 cnf(matrix-4889, plain, ( ~class_Rings_Ocomm__semiring__1(_u9400) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9401), _u9402)) | ~hBOOL(hAPP(hAPP(c_member(_u9401), _u9399), _u9402)) | ( hAPP(_u9403, _u9399) != c_Groups_Ozero__class_Ozero(_u9400)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9401, _u9400), _u9403), _u9402) = c_Groups_Ozero__class_Ozero(_u9400)) )).
% 29.00/29.24 cnf(matrix-4890, plain, ( ~class_Rings_Ocomm__semiring__1(_u9406) | ~class_Rings_Ono__zero__divisors(_u9406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9407), _u9408)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9407, _u9406), _u9409), _u9408) != c_Groups_Ozero__class_Ozero(_u9406)) | hBOOL(hAPP(hAPP(c_member(_u9407), skolem149(_u9409, _u9408, _u9407, _u9406)), _u9408)) )).
% 29.00/29.24 cnf(matrix-4891, plain, ( ~class_Rings_Ocomm__semiring__1(_u9406) | ~class_Rings_Ono__zero__divisors(_u9406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9407), _u9408)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9407, _u9406), _u9409), _u9408) != c_Groups_Ozero__class_Ozero(_u9406)) | ( hAPP(_u9409, skolem149(_u9409, _u9408, _u9407, _u9406)) = c_Groups_Ozero__class_Ozero(_u9406)) )).
% 29.00/29.24 cnf(matrix-4892, plain, ( ~class_Rings_Ocomm__semiring__1(_u9406) | ~class_Rings_Ono__zero__divisors(_u9406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9407), _u9408)) | ~hBOOL(hAPP(hAPP(c_member(_u9407), _u9405), _u9408)) | ( hAPP(_u9409, _u9405) != c_Groups_Ozero__class_Ozero(_u9406)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9407, _u9406), _u9409), _u9408) = c_Groups_Ozero__class_Ozero(_u9406)) )).
% 29.00/29.24 cnf(matrix-4893, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9410) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9411, _u9410), _u9412), c_Orderings_Obot__class_Obot(tc_fun(_u9411, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u9410)) )).
% 29.00/29.24 cnf(matrix-4894, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9413) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9414, _u9413), _u9415), c_Orderings_Obot__class_Obot(tc_fun(_u9414, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u9413)) )).
% 29.00/29.24 cnf(matrix-4895, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9416) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9417), _u9418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9417, _u9416), _u9419), _u9418) = c_Groups_Oone__class_Oone(_u9416)) )).
% 29.00/29.24 cnf(matrix-4896, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9420) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9421), _u9422)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9421, _u9420), _u9423), _u9422) = c_Groups_Oone__class_Oone(_u9420)) )).
% 29.00/29.24 cnf(matrix-4897, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9426), _u9427)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9426, tc_Nat_Onat), _u9428), _u9427) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u9426), _u9424), _u9427)) | ( hAPP(_u9428, _u9424) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4898, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9426), _u9427)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9426, tc_Nat_Onat), _u9428), _u9427) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9426), skolem150(_u9428, _u9427, _u9426)), _u9427)) )).
% 29.00/29.24 cnf(matrix-4899, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9426), _u9427)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9426, tc_Nat_Onat), _u9428), _u9427) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u9428, skolem150(_u9428, _u9427, _u9426)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4900, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9430), _u9432)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9429, _u9430)), c_Sum__Type_OPlus(_u9429, _u9430, _u9431, _u9432))) )).
% 29.00/29.24 cnf(matrix-4901, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9433, _u9434)), c_Sum__Type_OPlus(_u9433, _u9434, _u9435, _u9436))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9433), _u9435)) )).
% 29.00/29.24 cnf(matrix-4902, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9437), _u9438)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9439), _u9440)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9437, _u9439)), c_Sum__Type_OPlus(_u9437, _u9439, _u9438, _u9440))) )).
% 29.00/29.24 cnf(matrix-4903, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9445, _u9447)), c_Sum__Type_OPlus(_u9445, _u9447, _u9449, _u9451))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9445), _u9449)) )).
% 29.00/29.24 cnf(matrix-4904, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9445, _u9447)), c_Sum__Type_OPlus(_u9445, _u9447, _u9449, _u9451))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9447), _u9451)) )).
% 29.00/29.24 cnf(matrix-4905, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9446), _u9450)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9448), _u9452)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u9446, _u9448)), c_Sum__Type_OPlus(_u9446, _u9448, _u9450, _u9452))) )).
% 29.00/29.24 cnf(matrix-4906, plain, ( ~class_Groups_Ocomm__monoid__add(_u9453) | ~class_Groups_Ocomm__monoid__mult(_u9453) | ~c_Nat__Transfer_Onat__set(_u9454) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9453), _u9455), _u9454) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u9453), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9453, tc_Nat_Onat), _u9455), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u9454))) )).
% 29.00/29.24 cnf(matrix-4907, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9456) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9457), _u9458)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9457, _u9456), hAPP(hAPP(c_COMBS(_u9457, _u9456, _u9456), hAPP(hAPP(c_COMBB(_u9456, tc_fun(_u9456, _u9456), _u9457), c_Groups_Otimes__class_Otimes(_u9456)), _u9459)), _u9460)), _u9458) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9456), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9457, _u9456), _u9459), _u9458)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9457, _u9456), _u9460), _u9458))) )).
% 29.00/29.24 cnf(matrix-4908, plain, ( ~class_Fields_Ofield__inverse__zero(_u9461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9462), _u9463)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9462, _u9461), hAPP(hAPP(c_COMBS(_u9462, _u9461, _u9461), hAPP(hAPP(c_COMBB(_u9461, tc_fun(_u9461, _u9461), _u9462), c_Rings_Oinverse__class_Odivide(_u9461)), _u9464)), _u9465)), _u9463) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9461), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9462, _u9461), _u9464), _u9463)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9462, _u9461), _u9465), _u9463))) )).
% 29.00/29.24 cnf(matrix-4909, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9468), _u9469)) | ~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(_u9468, tc_Nat_Onat), _u9470), _u9469))) | ~hBOOL(hAPP(hAPP(c_member(_u9468), _u9466), _u9469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u9470, _u9466))) )).
% 29.00/29.24 cnf(matrix-4910, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9468), _u9469)) | 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(_u9468, tc_Nat_Onat), _u9470), _u9469))) | hBOOL(hAPP(hAPP(c_member(_u9468), skolem151(_u9470, _u9469, _u9468)), _u9469)) )).
% 29.00/29.24 cnf(matrix-4911, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9468), _u9469)) | 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(_u9468, tc_Nat_Onat), _u9470), _u9469))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u9470, skolem151(_u9470, _u9469, _u9468)))) )).
% 29.00/29.24 cnf(matrix-4912, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9471) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9472), _u9473)) | ~hBOOL(hAPP(hAPP(c_member(_u9472), _u9474), _u9473)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9472, _u9471), hAPP(hAPP(c_COMBC(_u9472, _u9471, _u9471), hAPP(hAPP(c_COMBS(_u9472, _u9471, tc_fun(_u9471, _u9471)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9471, tc_fun(_u9471, _u9471)), _u9472), c_If(_u9471)), hAPP(c_fequal, _u9474))), _u9475)), c_Groups_Oone__class_Oone(_u9471))), _u9473) = hAPP(_u9475, _u9474)) )).
% 29.00/29.24 cnf(matrix-4913, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9471) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9472), _u9473)) | hBOOL(hAPP(hAPP(c_member(_u9472), _u9474), _u9473)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9472, _u9471), hAPP(hAPP(c_COMBC(_u9472, _u9471, _u9471), hAPP(hAPP(c_COMBS(_u9472, _u9471, tc_fun(_u9471, _u9471)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9471, tc_fun(_u9471, _u9471)), _u9472), c_If(_u9471)), hAPP(c_fequal, _u9474))), _u9475)), c_Groups_Oone__class_Oone(_u9471))), _u9473) = c_Groups_Oone__class_Oone(_u9471)) )).
% 29.00/29.24 cnf(matrix-4914, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9477), _u9478)) | ~hBOOL(hAPP(hAPP(c_member(_u9477), _u9479), _u9478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9477, _u9476), hAPP(hAPP(c_COMBC(_u9477, _u9476, _u9476), hAPP(hAPP(c_COMBS(_u9477, _u9476, tc_fun(_u9476, _u9476)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9476, tc_fun(_u9476, _u9476)), _u9477), c_If(_u9476)), hAPP(hAPP(c_COMBC(_u9477, _u9477, tc_HOL_Obool), c_fequal), _u9479))), _u9480)), c_Groups_Oone__class_Oone(_u9476))), _u9478) = hAPP(_u9480, _u9479)) )).
% 29.00/29.24 cnf(matrix-4915, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9477), _u9478)) | hBOOL(hAPP(hAPP(c_member(_u9477), _u9479), _u9478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9477, _u9476), hAPP(hAPP(c_COMBC(_u9477, _u9476, _u9476), hAPP(hAPP(c_COMBS(_u9477, _u9476, tc_fun(_u9476, _u9476)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9476, tc_fun(_u9476, _u9476)), _u9477), c_If(_u9476)), hAPP(hAPP(c_COMBC(_u9477, _u9477, tc_HOL_Obool), c_fequal), _u9479))), _u9480)), c_Groups_Oone__class_Oone(_u9476))), _u9478) = c_Groups_Oone__class_Oone(_u9476)) )).
% 29.00/29.24 cnf(matrix-4916, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9482), _u9483)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9482, _u9481), hAPP(c_COMBK(_u9481, _u9482), _u9484)), _u9483) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9481), _u9484), hAPP(c_Finite__Set_Ocard(_u9482), _u9483))) )).
% 29.00/29.24 cnf(matrix-4917, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9486), _u9487)) | hBOOL(hAPP(hAPP(c_member(_u9486), _u9488), _u9487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9486, _u9485), _u9489), hAPP(hAPP(c_Set_Oinsert(_u9486), _u9488), _u9487)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9485), hAPP(_u9489, _u9488)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9486, _u9485), _u9489), _u9487))) )).
% 29.00/29.24 cnf(matrix-4918, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9491), _u9492)) | hBOOL(hAPP(hAPP(c_member(_u9491), _u9493), _u9492)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9491, _u9490), _u9494), hAPP(hAPP(c_Set_Oinsert(_u9491), _u9493), _u9492)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9490), hAPP(_u9494, _u9493)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9491, _u9490), _u9494), _u9492))) )).
% 29.00/29.24 cnf(matrix-4919, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9495) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9496), _u9497)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9496), _u9498)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9495), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9496, _u9495), _u9499), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9496, tc_HOL_Obool)), _u9497), _u9498))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9496, _u9495), _u9499), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9496, tc_HOL_Obool)), _u9497), _u9498))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9495), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9496, _u9495), _u9499), _u9497)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9496, _u9495), _u9499), _u9498))) )).
% 29.00/29.24 cnf(matrix-4920, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9500) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9501), _u9502)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9501), _u9503)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9500), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9501, _u9500), _u9504), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9501, tc_HOL_Obool)), _u9502), _u9503))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9501, _u9500), _u9504), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9501, tc_HOL_Obool)), _u9502), _u9503))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9500), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9501, _u9500), _u9504), _u9502)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9501, _u9500), _u9504), _u9503))) )).
% 29.00/29.24 cnf(matrix-4921, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9506), _u9507)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9506, _u9505), _u9508), hAPP(hAPP(c_Set_Oinsert(_u9506), _u9509), _u9507)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9505), hAPP(_u9508, _u9509)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9506, _u9505), _u9508), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9506, tc_HOL_Obool)), _u9507), hAPP(hAPP(c_Set_Oinsert(_u9506), _u9509), c_Orderings_Obot__class_Obot(tc_fun(_u9506, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4922, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9511), _u9512)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9511), _u9513)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9511, tc_HOL_Obool)), _u9512), _u9513) != c_Orderings_Obot__class_Obot(tc_fun(_u9511, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9511, _u9510), _u9514), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9511, tc_HOL_Obool)), _u9512), _u9513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9510), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9511, _u9510), _u9514), _u9512)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9511, _u9510), _u9514), _u9513))) )).
% 29.00/29.24 cnf(matrix-4923, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9516), _u9517)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9516), _u9518)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9516, tc_HOL_Obool)), _u9517), _u9518) != c_Orderings_Obot__class_Obot(tc_fun(_u9516, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9516, _u9515), _u9519), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9516, tc_HOL_Obool)), _u9517), _u9518)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9515), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9516, _u9515), _u9519), _u9517)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9516, _u9515), _u9519), _u9518))) )).
% 29.00/29.24 cnf(matrix-4924, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9520), _u9521)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9522), _u9523)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u9520, _u9522)), c_Sum__Type_OPlus(_u9520, _u9522, _u9521, _u9523)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9520), _u9521)), hAPP(c_Finite__Set_Ocard(_u9522), _u9523))) )).
% 29.00/29.24 cnf(matrix-4925, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9525), _u9526)) | ~hBOOL(hAPP(hAPP(c_member(_u9525), _u9527), _u9526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9525, _u9524), _u9528), _u9526) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9524), hAPP(_u9528, _u9527)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9525, _u9524), _u9528), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9525, tc_HOL_Obool)), _u9526), hAPP(hAPP(c_Set_Oinsert(_u9525), _u9527), c_Orderings_Obot__class_Obot(tc_fun(_u9525, tc_HOL_Obool))))))) )).
% 29.00/29.24 cnf(matrix-4926, plain, ( ~class_Fields_Ofield(_u9529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9530), _u9531)) | ( hAPP(_u9532, _u9533) = c_Groups_Ozero__class_Ozero(_u9529)) | ~hBOOL(hAPP(hAPP(c_member(_u9530), _u9533), _u9531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9530, _u9529), _u9532), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9530, tc_HOL_Obool)), _u9531), hAPP(hAPP(c_Set_Oinsert(_u9530), _u9533), c_Orderings_Obot__class_Obot(tc_fun(_u9530, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9529), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9530, _u9529), _u9532), _u9531)), hAPP(_u9532, _u9533))) )).
% 29.00/29.24 cnf(matrix-4927, plain, ( ~class_Fields_Ofield(_u9529) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9530), _u9531)) | ( hAPP(_u9532, _u9533) = c_Groups_Ozero__class_Ozero(_u9529)) | hBOOL(hAPP(hAPP(c_member(_u9530), _u9533), _u9531)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9530, _u9529), _u9532), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9530, tc_HOL_Obool)), _u9531), hAPP(hAPP(c_Set_Oinsert(_u9530), _u9533), c_Orderings_Obot__class_Obot(tc_fun(_u9530, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9530, _u9529), _u9532), _u9531)) )).
% 29.00/29.24 cnf(matrix-4928, plain, ( ~class_Fields_Ofield(_u9535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9536), _u9537)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9536), _u9538)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9535), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), _u9537)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), _u9538))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538)))) | hBOOL(hAPP(hAPP(c_member(_u9536), skolem152(_u9539, _u9538, _u9537, _u9536, _u9535)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538))) )).
% 29.00/29.24 cnf(matrix-4929, plain, ( ~class_Fields_Ofield(_u9535) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9536), _u9537)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9536), _u9538)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9535), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), _u9537)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), _u9538))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9536, _u9535), _u9539), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9536, tc_HOL_Obool)), _u9537), _u9538)))) | ( hAPP(_u9539, skolem152(_u9539, _u9538, _u9537, _u9536, _u9535)) = c_Groups_Ozero__class_Ozero(_u9535)) )).
% 29.00/29.24 cnf(matrix-4930, plain, ( ( c_Sum__Type_OPlus(_u9544, _u9546, _u9548, _u9550) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u9544, _u9546), tc_HOL_Obool))) | ( _u9548 = c_Orderings_Obot__class_Obot(tc_fun(_u9544, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4931, plain, ( ( c_Sum__Type_OPlus(_u9544, _u9546, _u9548, _u9550) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u9544, _u9546), tc_HOL_Obool))) | ( _u9550 = c_Orderings_Obot__class_Obot(tc_fun(_u9546, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4932, plain, ( ( _u9549 != c_Orderings_Obot__class_Obot(tc_fun(_u9545, tc_HOL_Obool))) | ( _u9551 != c_Orderings_Obot__class_Obot(tc_fun(_u9547, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u9545, _u9547, _u9549, _u9551) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u9545, _u9547), tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4933, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9553) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9554), _u9555)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9554), _u9556)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9554, tc_HOL_Obool)), _u9555), _u9556)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9553), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), _u9555)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), _u9556))) | hBOOL(hAPP(hAPP(c_member(_u9554), skolem153(_u9557, _u9556, _u9555, _u9554, _u9553)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9554, tc_HOL_Obool)), _u9555), _u9556))) )).
% 29.00/29.24 cnf(matrix-4934, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9553) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9554), _u9555)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9554), _u9556)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9554, tc_HOL_Obool)), _u9555), _u9556)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9553), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), _u9555)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9554, _u9553), _u9557), _u9556))) | ( hAPP(_u9557, skolem153(_u9557, _u9556, _u9555, _u9554, _u9553)) != c_Groups_Oone__class_Oone(_u9553)) )).
% 29.00/29.24 cnf(matrix-4935, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9559) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9560), _u9561)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9560), _u9562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9560, tc_HOL_Obool)), _u9561), _u9562)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9559), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), _u9561)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), _u9562))) | hBOOL(hAPP(hAPP(c_member(_u9560), skolem154(_u9563, _u9562, _u9561, _u9560, _u9559)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9560, tc_HOL_Obool)), _u9561), _u9562))) )).
% 29.00/29.24 cnf(matrix-4936, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9559) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9560), _u9561)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9560), _u9562)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9560, tc_HOL_Obool)), _u9561), _u9562)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9559), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), _u9561)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9560, _u9559), _u9563), _u9562))) | ( hAPP(_u9563, skolem154(_u9563, _u9562, _u9561, _u9560, _u9559)) != c_Groups_Oone__class_Oone(_u9559)) )).
% 29.00/29.24 cnf(matrix-4937, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9565, tc_Int_Oint), _u9567), _u9566) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9565, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9565), c_Int_Onat), _u9567)), _u9566))) | hBOOL(hAPP(hAPP(c_member(_u9565), skolem155(_u9567, _u9566, _u9565)), _u9566)) )).
% 29.00/29.24 cnf(matrix-4938, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9565, tc_Int_Oint), _u9567), _u9566) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9565, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9565), c_Int_Onat), _u9567)), _u9566))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u9567, skolem155(_u9567, _u9566, _u9565))) )).
% 29.00/29.24 cnf(matrix-4939, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9568, _u9569)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9568), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 29.00/29.24 cnf(matrix-4940, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9570), _u9571), _u9572) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9570, tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool)), _u9571), hAPP(hAPP(c_COMBC(_u9570, tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9570, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool)), _u9570), c_Set_Oinsert(tc_fun(_u9570, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9570, tc_HOL_Obool), tc_fun(_u9570, tc_HOL_Obool), _u9570), c_Relation_OImage(_u9570, _u9570, _u9572)), hAPP(hAPP(c_COMBC(_u9570, tc_fun(_u9570, tc_HOL_Obool), tc_fun(_u9570, tc_HOL_Obool)), c_Set_Oinsert(_u9570)), c_Orderings_Obot__class_Obot(tc_fun(_u9570, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9570, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 29.00/29.24 cnf(matrix-4941, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9573) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9574), _u9575)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9574), _u9576)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9574, tc_HOL_Obool)), _u9575), _u9576) != c_Orderings_Obot__class_Obot(tc_fun(_u9574, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9573, _u9574, c_Groups_Otimes__class_Otimes(_u9573)), _u9577), c_Groups_Oone__class_Oone(_u9573)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9574, tc_HOL_Obool)), _u9575), _u9576)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9573), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9573, _u9574, c_Groups_Otimes__class_Otimes(_u9573)), _u9577), c_Groups_Oone__class_Oone(_u9573)), _u9575)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9573, _u9574, c_Groups_Otimes__class_Otimes(_u9573)), _u9577), c_Groups_Oone__class_Oone(_u9573)), _u9576))) )).
% 29.00/29.24 cnf(matrix-4942, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9578), _u9579), _u9580)) | ~hBOOL(hAPP(hAPP(_u9581, _u9579), _u9582)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9578, tc_fun(_u9583, tc_HOL_Obool)), _u9580), _u9581), _u9582)) )).
% 29.00/29.24 cnf(matrix-4943, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9584, _u9585))) )).
% 29.00/29.24 cnf(matrix-4944, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9588), _u9589)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9588, tc_fun(_u9590, tc_HOL_Obool)), _u9589), _u9591))) | ~hBOOL(hAPP(hAPP(c_member(_u9588), _u9586), _u9589)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(_u9591, _u9586))) )).
% 29.00/29.24 cnf(matrix-4945, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9588), _u9589)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9588, tc_fun(_u9590, tc_HOL_Obool)), _u9589), _u9591))) | hBOOL(hAPP(hAPP(c_member(_u9588), skolem156(_u9591, _u9590, _u9589, _u9588)), _u9589)) )).
% 29.00/29.24 cnf(matrix-4946, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9588), _u9589)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9588, tc_fun(_u9590, tc_HOL_Obool)), _u9589), _u9591))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9590), hAPP(_u9591, skolem156(_u9591, _u9590, _u9589, _u9588)))) )).
% 29.00/29.24 cnf(matrix-4947, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9592, _u9593, _u9594), _u9595), _u9596), c_Orderings_Obot__class_Obot(tc_fun(_u9593, tc_HOL_Obool))) = _u9596) )).
% 29.00/29.24 cnf(matrix-4948, plain, ( ( hAPP(c_Relation_OImage(_u9597, _u9598, _u9599), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9600, tc_fun(_u9597, tc_HOL_Obool)), _u9601), _u9602)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9600, tc_fun(_u9598, tc_HOL_Obool)), _u9601), hAPP(hAPP(c_COMBB(tc_fun(_u9597, tc_HOL_Obool), tc_fun(_u9598, tc_HOL_Obool), _u9600), c_Relation_OImage(_u9597, _u9598, _u9599)), _u9602))) )).
% 29.00/29.24 cnf(matrix-4949, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9603, tc_fun(_u9604, tc_HOL_Obool)), _u9605), hAPP(c_Fun_Ocomp(_u9606, tc_fun(_u9604, tc_HOL_Obool), _u9603, _u9607), _u9608)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9606, tc_fun(_u9604, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9603, _u9606, _u9608), _u9605)), _u9607)) )).
% 29.00/29.24 cnf(matrix-4950, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9616, tc_fun(_u9618, tc_HOL_Obool)), _u9620), _u9622), _u9624)) | hBOOL(hAPP(hAPP(c_member(_u9616), skolem157(_u9624, _u9622, _u9620, _u9618, _u9616)), _u9620)) )).
% 29.00/29.24 cnf(matrix-4951, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9616, tc_fun(_u9618, tc_HOL_Obool)), _u9620), _u9622), _u9624)) | hBOOL(hAPP(hAPP(_u9622, skolem157(_u9624, _u9622, _u9620, _u9618, _u9616)), _u9624)) )).
% 29.00/29.24 cnf(matrix-4952, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9617), _u9610), _u9621)) | ~hBOOL(hAPP(hAPP(_u9623, _u9610), _u9625)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9617, tc_fun(_u9619, tc_HOL_Obool)), _u9621), _u9623), _u9625)) )).
% 29.00/29.24 cnf(matrix-4953, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u9626, _u9627, _u9628, _u9629, _u9630, _u9631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9627), _u9632)) | ( hAPP(_u9631, _u9632) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9626, _u9627, _u9628), _u9630), _u9629), _u9632)) )).
% 29.00/29.24 cnf(matrix-4954, plain, ( ~class_Orderings_Oorder(_u9633) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9633), _u9634), _u9635)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u9633, _u9635, _u9634) = c_Orderings_Obot__class_Obot(tc_fun(_u9633, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4955, plain, ( ~class_Groups_Oordered__ab__group__add(_u9636) | ( hAPP(c_Set_Oimage(_u9636, _u9636, c_Groups_Ouminus__class_Ouminus(_u9636)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9636, _u9637, _u9638)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9636, hAPP(c_Groups_Ouminus__class_Ouminus(_u9636), _u9638), hAPP(c_Groups_Ouminus__class_Ouminus(_u9636), _u9637))) )).
% 29.00/29.24 cnf(matrix-4956, plain, ( ( hAPP(c_Relation_OImage(_u9639, _u9640, _u9641), _u9642) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9639, tc_fun(_u9640, tc_HOL_Obool)), _u9642), hAPP(hAPP(c_COMBB(tc_fun(_u9639, tc_HOL_Obool), tc_fun(_u9640, tc_HOL_Obool), _u9639), c_Relation_OImage(_u9639, _u9640, _u9641)), hAPP(hAPP(c_COMBC(_u9639, tc_fun(_u9639, tc_HOL_Obool), tc_fun(_u9639, tc_HOL_Obool)), c_Set_Oinsert(_u9639)), c_Orderings_Obot__class_Obot(tc_fun(_u9639, tc_HOL_Obool)))))) )).
% 29.00/29.24 cnf(matrix-4957, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9643) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9644), _u9645)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9643, _u9644, c_Groups_Otimes__class_Otimes(_u9643)), hAPP(hAPP(c_COMBS(_u9644, _u9643, _u9643), hAPP(hAPP(c_COMBB(_u9643, tc_fun(_u9643, _u9643), _u9644), c_Groups_Otimes__class_Otimes(_u9643)), _u9646)), _u9647)), c_Groups_Oone__class_Oone(_u9643)), _u9645) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9643), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9643, _u9644, c_Groups_Otimes__class_Otimes(_u9643)), _u9646), c_Groups_Oone__class_Oone(_u9643)), _u9645)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9643, _u9644, c_Groups_Otimes__class_Otimes(_u9643)), _u9647), c_Groups_Oone__class_Oone(_u9643)), _u9645))) )).
% 29.00/29.24 cnf(matrix-4958, plain, ( ~class_Groups_Oab__semigroup__mult(_u9648) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9649), _u9650)) | hBOOL(hAPP(hAPP(c_member(_u9649), _u9651), _u9650)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9648, _u9649, c_Groups_Otimes__class_Otimes(_u9648)), _u9652), _u9653), hAPP(hAPP(c_Set_Oinsert(_u9649), _u9651), _u9650)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9648), hAPP(_u9652, _u9651)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9648, _u9649, c_Groups_Otimes__class_Otimes(_u9648)), _u9652), _u9653), _u9650))) )).
% 29.00/29.24 cnf(matrix-4959, plain, ( ~class_Orderings_Olinorder(_u9654) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9654, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9654, _u9655, _u9656)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9654, _u9657, _u9658)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9654, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9654), _u9655), _u9657), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9654), _u9656), _u9658))) )).
% 29.00/29.24 cnf(matrix-4960, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9659) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9660), _u9661)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9660, _u9659), _u9662), _u9661) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9659, _u9660, c_Groups_Otimes__class_Otimes(_u9659)), _u9662), c_Groups_Oone__class_Oone(_u9659)), _u9661)) )).
% 29.00/29.24 cnf(matrix-4961, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9659) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9660), _u9661)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9660, _u9659), _u9662), _u9661) = c_Groups_Oone__class_Oone(_u9659)) )).
% 29.00/29.24 cnf(matrix-4962, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9663) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9664), _u9665)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9664, _u9663), _u9666), _u9665) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9663, _u9664, c_Groups_Otimes__class_Otimes(_u9663)), _u9666), c_Groups_Oone__class_Oone(_u9663)), _u9665)) )).
% 29.00/29.24 cnf(matrix-4963, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9667) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9668), _u9669)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9668), _u9670)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9667), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9667, _u9668, c_Groups_Otimes__class_Otimes(_u9667)), _u9671), c_Groups_Oone__class_Oone(_u9667)), _u9669)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9667, _u9668, c_Groups_Otimes__class_Otimes(_u9667)), _u9671), c_Groups_Oone__class_Oone(_u9667)), _u9670)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9667), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9667, _u9668, c_Groups_Otimes__class_Otimes(_u9667)), _u9671), c_Groups_Oone__class_Oone(_u9667)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9668, tc_HOL_Obool)), _u9669), _u9670))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9667, _u9668, c_Groups_Otimes__class_Otimes(_u9667)), _u9671), c_Groups_Oone__class_Oone(_u9667)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9668, tc_HOL_Obool)), _u9669), _u9670)))) )).
% 29.00/29.24 cnf(matrix-4964, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9672), _u9673)) | ( hAPP(c_Set_Oimage(_u9672, _u9674, _u9675), _u9673) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u9674, tc_HOL_Obool), _u9672, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9674, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9672, tc_fun(_u9674, tc_HOL_Obool), tc_fun(_u9674, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u9674, tc_fun(tc_fun(_u9674, tc_HOL_Obool), tc_fun(_u9674, tc_HOL_Obool)), _u9672), c_Set_Oinsert(_u9674)), _u9675)), c_Orderings_Obot__class_Obot(tc_fun(_u9674, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u9674, tc_HOL_Obool))), _u9673)) )).
% 29.00/29.24 cnf(matrix-4965, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9676), _u9677)) | ( hAPP(c_Finite__Set_Ocard(_u9676), _u9677) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u9676, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u9676), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9677)) )).
% 29.00/29.24 cnf(matrix-4966, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9680), _u9682)) | ( hAPP(c_Finite__Set_Ocard(_u9680), _u9682) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u9680, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u9680), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9682)) )).
% 29.00/29.24 cnf(matrix-4967, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u9681), _u9683)) | ( hAPP(c_Finite__Set_Ocard(_u9681), _u9683) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.24 cnf(matrix-4968, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9684), _u9685), _u9686)) | ~hBOOL(hAPP(hAPP(c_member(_u9687), _u9688), hAPP(_u9689, _u9685))) | hBOOL(hAPP(hAPP(c_member(_u9687), _u9688), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9684, tc_fun(_u9687, tc_HOL_Obool)), _u9686), _u9689))) )).
% 29.00/29.24 cnf(matrix-4969, plain, ( ( hAPP(c_Set_Oimage(_u9690, _u9691, _u9692), _u9693) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9690, tc_fun(_u9691, tc_HOL_Obool)), _u9693), hAPP(hAPP(c_COMBC(_u9690, tc_fun(_u9691, tc_HOL_Obool), tc_fun(_u9691, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u9691, tc_fun(tc_fun(_u9691, tc_HOL_Obool), tc_fun(_u9691, tc_HOL_Obool)), _u9690), c_Set_Oinsert(_u9691)), _u9692)), c_Orderings_Obot__class_Obot(tc_fun(_u9691, tc_HOL_Obool))))) )).
% 29.00/29.24 cnf(matrix-4970, plain, ( ~c_Equiv__Relations_Oequiv(_u9694, _u9695, _u9696) | ~c_Equiv__Relations_Ocongruent(_u9694, tc_fun(_u9697, tc_HOL_Obool), _u9696, _u9698) | ~hBOOL(hAPP(hAPP(c_member(_u9694), _u9699), _u9695)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9694, tc_fun(_u9697, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9694, _u9694, _u9696), hAPP(hAPP(c_Set_Oinsert(_u9694), _u9699), c_Orderings_Obot__class_Obot(tc_fun(_u9694, tc_HOL_Obool))))), _u9698) = hAPP(_u9698, _u9699)) )).
% 29.00/29.24 cnf(matrix-4971, plain, ( ~c_Equiv__Relations_Oequiv(_u9700, _u9701, _u9702) | ~c_Equiv__Relations_Oequiv(_u9703, _u9704, _u9705) | ~c_Equiv__Relations_Ocongruent2(_u9700, _u9703, tc_fun(_u9706, tc_HOL_Obool), _u9702, _u9705, _u9707) | ~hBOOL(hAPP(hAPP(c_member(_u9700), _u9708), _u9701)) | ~hBOOL(hAPP(hAPP(c_member(_u9703), _u9709), _u9704)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9700, tc_fun(_u9706, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9700, _u9700, _u9702), hAPP(hAPP(c_Set_Oinsert(_u9700), _u9708), c_Orderings_Obot__class_Obot(tc_fun(_u9700, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u9703, tc_fun(_u9706, tc_HOL_Obool)), tc_fun(_u9706, tc_HOL_Obool), _u9700), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9703, tc_fun(_u9706, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9703, _u9703, _u9705), hAPP(hAPP(c_Set_Oinsert(_u9703), _u9709), c_Orderings_Obot__class_Obot(tc_fun(_u9703, tc_HOL_Obool)))))), _u9707)) = hAPP(hAPP(_u9707, _u9708), _u9709)) )).
% 29.00/29.24 cnf(matrix-4972, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9710, _u9711))) )).
% 29.00/29.24 cnf(matrix-4973, plain, ( ~c_Equiv__Relations_Oequiv(_u9712, _u9713, _u9714) | ~c_Equiv__Relations_Ocongruent2(_u9712, _u9715, _u9716, _u9714, _u9717, _u9718) | ~hBOOL(hAPP(hAPP(c_member(_u9712), _u9719), _u9713)) | c_Equiv__Relations_Ocongruent(_u9715, _u9716, _u9717, hAPP(_u9718, _u9719)) )).
% 29.00/29.24 cnf(matrix-4974, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9733), _u9722), _u9735)) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9721), hAPP(_u9737, _u9722))) | hBOOL(hAPP(_u9739, _u9721)) | hBOOL(hAPP(hAPP(c_member(_u9731), skolem158(_u9739, _u9737, _u9735, _u9733, _u9731)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9733, tc_fun(_u9731, tc_HOL_Obool)), _u9735), _u9737))) )).
% 29.00/29.24 cnf(matrix-4975, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9733), _u9722), _u9735)) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9721), hAPP(_u9737, _u9722))) | hBOOL(hAPP(_u9739, _u9721)) | ~hBOOL(hAPP(_u9739, skolem158(_u9739, _u9737, _u9735, _u9733, _u9731))) )).
% 29.00/29.24 cnf(matrix-4976, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9732), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9734, tc_fun(_u9732, tc_HOL_Obool)), _u9736), _u9738))) | hBOOL(hAPP(_u9740, _u9725)) | hBOOL(hAPP(hAPP(c_member(_u9734), skolem159(_u9740, _u9738, _u9736, _u9734, _u9732)), _u9736)) )).
% 29.00/29.24 cnf(matrix-4977, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9732), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9734, tc_fun(_u9732, tc_HOL_Obool)), _u9736), _u9738))) | hBOOL(hAPP(_u9740, _u9725)) | hBOOL(hAPP(hAPP(c_member(_u9732), skolem160(_u9740, _u9738, _u9736, _u9734, _u9732)), hAPP(_u9738, skolem159(_u9740, _u9738, _u9736, _u9734, _u9732)))) )).
% 29.00/29.24 cnf(matrix-4978, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9732), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9734, tc_fun(_u9732, tc_HOL_Obool)), _u9736), _u9738))) | hBOOL(hAPP(_u9740, _u9725)) | ~hBOOL(hAPP(_u9740, skolem160(_u9740, _u9738, _u9736, _u9734, _u9732))) )).
% 29.00/29.24 cnf(matrix-4979, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9741, _u9742)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9742), hAPP(c_Nat_OSuc, _u9741))) )).
% 29.00/29.24 cnf(matrix-4980, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9743) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9744, _u9743), _u9745), hAPP(hAPP(c_COMBB(tc_fun(_u9746, _u9743), _u9743, _u9744), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, _u9743), _u9747)), _u9748)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, _u9743), _u9747), hAPP(hAPP(c_COMBB(tc_fun(_u9744, _u9743), _u9743, _u9746), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9744, _u9743), _u9745)), hAPP(c_COMBC(_u9744, _u9746, _u9743), _u9748)))) )).
% 29.00/29.24 cnf(matrix-4981, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9749, tc_fun(_u9750, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9751, tc_fun(_u9749, tc_HOL_Obool)), _u9752), _u9753)), _u9754) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9751, tc_fun(_u9750, tc_HOL_Obool)), _u9752), hAPP(hAPP(c_COMBC(_u9751, tc_fun(_u9749, tc_fun(_u9750, tc_HOL_Obool)), tc_fun(_u9750, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9749, tc_HOL_Obool), tc_fun(tc_fun(_u9749, tc_fun(_u9750, tc_HOL_Obool)), tc_fun(_u9750, tc_HOL_Obool)), _u9751), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9749, tc_fun(_u9750, tc_HOL_Obool))), _u9753)), _u9754))) )).
% 29.00/29.24 cnf(matrix-4982, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9755, tc_fun(_u9756, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9757, tc_fun(_u9755, tc_HOL_Obool)), _u9758), _u9759)), _u9760) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9757, tc_fun(_u9756, tc_HOL_Obool)), _u9758), hAPP(hAPP(c_COMBC(_u9757, tc_fun(_u9755, tc_fun(_u9756, tc_HOL_Obool)), tc_fun(_u9756, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9755, tc_HOL_Obool), tc_fun(tc_fun(_u9755, tc_fun(_u9756, tc_HOL_Obool)), tc_fun(_u9756, tc_HOL_Obool)), _u9757), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9755, tc_fun(_u9756, tc_HOL_Obool))), _u9759)), _u9760))) )).
% 29.00/29.24 cnf(matrix-4983, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9761, tc_fun(_u9762, tc_HOL_Obool)), _u9763), hAPP(hAPP(c_COMBC(_u9761, tc_fun(_u9764, tc_fun(_u9762, tc_HOL_Obool)), tc_fun(_u9762, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9764, tc_HOL_Obool), tc_fun(tc_fun(_u9764, tc_fun(_u9762, tc_HOL_Obool)), tc_fun(_u9762, tc_HOL_Obool)), _u9761), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9764, tc_fun(_u9762, tc_HOL_Obool))), _u9765)), _u9766)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9764, tc_fun(_u9762, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9761, tc_fun(_u9764, tc_HOL_Obool)), _u9763), _u9765)), _u9766)) )).
% 29.00/29.24 cnf(matrix-4984, plain, ( ~c_Equiv__Relations_Ocongruent2(_u9767, _u9768, _u9769, _u9770, _u9771, _u9772) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9767, _u9767)), hAPP(hAPP(c_Product__Type_OPair(_u9767, _u9767), _u9773), _u9774)), _u9770)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9768, _u9768)), hAPP(hAPP(c_Product__Type_OPair(_u9768, _u9768), _u9775), _u9776)), _u9771)) | ( hAPP(hAPP(_u9772, _u9773), _u9775) = hAPP(hAPP(_u9772, _u9774), _u9776)) )).
% 29.00/29.24 cnf(matrix-4985, plain, ( ~c_Equiv__Relations_Ocongruent(_u9777, _u9778, _u9779, _u9780) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9777, _u9777)), hAPP(hAPP(c_Product__Type_OPair(_u9777, _u9777), _u9781), _u9782)), _u9779)) | ( hAPP(_u9780, _u9781) = hAPP(_u9780, _u9782)) )).
% 29.00/29.24 cnf(matrix-4986, plain, ( ~c_Equiv__Relations_Oequiv(_u9783, _u9784, _u9785) | ~c_Equiv__Relations_Oequiv(_u9786, _u9787, _u9788) | ~c_Equiv__Relations_Ocongruent2(_u9783, _u9786, tc_fun(_u9789, tc_HOL_Obool), _u9785, _u9788, _u9790) | ~hBOOL(hAPP(hAPP(c_member(_u9786), _u9791), _u9787)) | c_Equiv__Relations_Ocongruent(_u9783, tc_fun(_u9789, tc_HOL_Obool), _u9785, hAPP(hAPP(c_COMBB(tc_fun(_u9786, tc_fun(_u9789, tc_HOL_Obool)), tc_fun(_u9789, tc_HOL_Obool), _u9783), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9786, tc_fun(_u9789, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9786, _u9786, _u9788), hAPP(hAPP(c_Set_Oinsert(_u9786), _u9791), c_Orderings_Obot__class_Obot(tc_fun(_u9786, tc_HOL_Obool)))))), _u9790)) )).
% 29.00/29.24 cnf(matrix-4987, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9795, _u9794), _u9796), _u9797)), _u9798)) | ~hBOOL(hAPP(hAPP(c_member(_u9795), _u9792), _u9796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(_u9797, _u9792)), _u9798)) )).
% 29.00/29.24 cnf(matrix-4988, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9794) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9795, _u9794), _u9796), _u9797)), _u9798)) | hBOOL(hAPP(hAPP(c_member(_u9795), skolem161(_u9798, _u9797, _u9796, _u9795, _u9794)), _u9796)) )).
% 29.00/29.24 cnf(matrix-4989, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9794) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9795, _u9794), _u9796), _u9797)), _u9798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9794), hAPP(_u9797, skolem161(_u9798, _u9797, _u9796, _u9795, _u9794))), _u9798)) )).
% 29.00/29.24 cnf(matrix-4990, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9801) | ~class_Orderings_Olinorder(_u9801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9803, _u9801), _u9804), _u9805))) | hBOOL(hAPP(hAPP(c_member(_u9803), skolem162(_u9805, _u9804, _u9803, _u9802, _u9801)), _u9804)) )).
% 29.00/29.24 cnf(matrix-4991, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9801) | ~class_Orderings_Olinorder(_u9801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9803, _u9801), _u9804), _u9805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(_u9805, skolem162(_u9805, _u9804, _u9803, _u9802, _u9801)))) )).
% 29.00/29.24 cnf(matrix-4992, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9801) | ~class_Orderings_Olinorder(_u9801) | ~hBOOL(hAPP(hAPP(c_member(_u9803), _u9800), _u9804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(_u9805, _u9800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9801), _u9802), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9803, _u9801), _u9804), _u9805))) )).
% 29.00/29.24 cnf(matrix-4993, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9813), _u9815), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9817, tc_fun(_u9813, tc_HOL_Obool)), _u9819), _u9821))) | hBOOL(hAPP(hAPP(c_member(_u9817), skolem163(_u9821, _u9819, _u9817, _u9815, _u9813)), _u9819)) )).
% 29.00/29.24 cnf(matrix-4994, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9813), _u9815), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9817, tc_fun(_u9813, tc_HOL_Obool)), _u9819), _u9821))) | hBOOL(hAPP(hAPP(c_member(_u9813), _u9815), hAPP(_u9821, skolem163(_u9821, _u9819, _u9817, _u9815, _u9813)))) )).
% 29.00/29.24 cnf(matrix-4995, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9818), _u9807), _u9820)) | ~hBOOL(hAPP(hAPP(c_member(_u9814), _u9816), hAPP(_u9822, _u9807))) | hBOOL(hAPP(hAPP(c_member(_u9814), _u9816), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9818, tc_fun(_u9814, tc_HOL_Obool)), _u9820), _u9822))) )).
% 29.00/29.24 cnf(matrix-4996, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9823) | ( _u9824 = c_Orderings_Obot__class_Obot(tc_fun(_u9825, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9825, _u9823), _u9824), hAPP(c_COMBK(_u9823, _u9825), _u9826)) = _u9826) )).
% 29.00/29.24 cnf(matrix-4997, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9833, tc_fun(_u9835, tc_HOL_Obool)), _u9837), _u9839) != c_Orderings_Obot__class_Obot(tc_fun(_u9835, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9833), _u9827), _u9837)) | ( hAPP(_u9839, _u9827) = c_Orderings_Obot__class_Obot(tc_fun(_u9835, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-4998, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9834, tc_fun(_u9836, tc_HOL_Obool)), _u9838), _u9840) = c_Orderings_Obot__class_Obot(tc_fun(_u9836, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9834), skolem164(_u9840, _u9838, _u9836, _u9834)), _u9838)) )).
% 29.00/29.24 cnf(matrix-4999, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9834, tc_fun(_u9836, tc_HOL_Obool)), _u9838), _u9840) = c_Orderings_Obot__class_Obot(tc_fun(_u9836, tc_HOL_Obool))) | ( hAPP(_u9840, skolem164(_u9840, _u9838, _u9836, _u9834)) != c_Orderings_Obot__class_Obot(tc_fun(_u9836, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-5000, plain, ( ( _u9845 != c_Orderings_Obot__class_Obot(tc_fun(_u9847, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9847, tc_fun(_u9849, tc_HOL_Obool)), _u9845), hAPP(c_COMBK(tc_fun(_u9849, tc_HOL_Obool), _u9847), _u9851)) = c_Orderings_Obot__class_Obot(tc_fun(_u9849, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-5001, plain, ( ( _u9846 = c_Orderings_Obot__class_Obot(tc_fun(_u9848, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9848, tc_fun(_u9850, tc_HOL_Obool)), _u9846), hAPP(c_COMBK(tc_fun(_u9850, tc_HOL_Obool), _u9848), _u9852)) = _u9852) )).
% 29.00/29.24 cnf(matrix-5002, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9853, tc_fun(_u9854, tc_HOL_Obool)), _u9855), hAPP(c_COMBK(tc_fun(_u9854, tc_HOL_Obool), _u9853), c_Orderings_Obot__class_Obot(tc_fun(_u9854, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9854, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-5003, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9862, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9864, tc_fun(_u9862, tc_HOL_Obool)), _u9866), _u9868)) | ~hBOOL(hAPP(hAPP(c_member(_u9864), _u9856), _u9866)) | ( hAPP(_u9868, _u9856) = c_Orderings_Obot__class_Obot(tc_fun(_u9862, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-5004, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9865, tc_fun(_u9863, tc_HOL_Obool)), _u9867), _u9869)) | hBOOL(hAPP(hAPP(c_member(_u9865), skolem165(_u9869, _u9867, _u9865, _u9863)), _u9867)) )).
% 29.00/29.24 cnf(matrix-5005, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9865, tc_fun(_u9863, tc_HOL_Obool)), _u9867), _u9869)) | ( hAPP(_u9869, skolem165(_u9869, _u9867, _u9865, _u9863)) != c_Orderings_Obot__class_Obot(tc_fun(_u9863, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-5006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9877, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9879, tc_fun(_u9877, tc_HOL_Obool)), _u9881), _u9883)), _u9885)) | ~hBOOL(hAPP(hAPP(c_member(_u9879), _u9870), _u9881)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9877, tc_HOL_Obool)), hAPP(_u9883, _u9870)), _u9885)) )).
% 29.00/29.24 cnf(matrix-5007, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9878, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9880, tc_fun(_u9878, tc_HOL_Obool)), _u9882), _u9884)), _u9886)) | hBOOL(hAPP(hAPP(c_member(_u9880), skolem166(_u9886, _u9884, _u9882, _u9880, _u9878)), _u9882)) )).
% 29.00/29.24 cnf(matrix-5008, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9878, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9880, tc_fun(_u9878, tc_HOL_Obool)), _u9882), _u9884)), _u9886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9878, tc_HOL_Obool)), hAPP(_u9884, skolem166(_u9886, _u9884, _u9882, _u9880, _u9878))), _u9886)) )).
% 29.00/29.24 cnf(matrix-5009, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9887, tc_fun(_u9888, tc_HOL_Obool)), _u9889), hAPP(hAPP(c_COMBB(_u9890, tc_fun(_u9888, tc_HOL_Obool), _u9887), _u9891), _u9892)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9890, tc_fun(_u9888, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9887, _u9890, _u9892), _u9889)), _u9891)) )).
% 29.00/29.24 cnf(matrix-5010, plain, ( ( hAPP(c_Set_Oimage(_u9893, _u9894, _u9895), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9896, tc_fun(_u9893, tc_HOL_Obool)), _u9897), _u9898)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9896, tc_fun(_u9894, tc_HOL_Obool)), _u9897), hAPP(hAPP(c_COMBB(tc_fun(_u9893, tc_HOL_Obool), tc_fun(_u9894, tc_HOL_Obool), _u9896), c_Set_Oimage(_u9893, _u9894, _u9895)), _u9898))) )).
% 29.00/29.24 cnf(matrix-5011, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9899, tc_fun(_u9900, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9901, _u9899, _u9902), _u9903)), _u9904) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9901, tc_fun(_u9900, tc_HOL_Obool)), _u9903), hAPP(hAPP(c_COMBB(_u9899, tc_fun(_u9900, tc_HOL_Obool), _u9901), _u9904), _u9902))) )).
% 29.00/29.24 cnf(matrix-5012, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9905, tc_fun(_u9906, tc_HOL_Obool)), _u9907), hAPP(hAPP(c_COMBS(_u9905, tc_fun(_u9906, tc_HOL_Obool), tc_fun(_u9906, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9906, tc_HOL_Obool), tc_fun(tc_fun(_u9906, tc_HOL_Obool), tc_fun(_u9906, tc_HOL_Obool)), _u9905), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9906, tc_HOL_Obool))), _u9908)), _u9909)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9906, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9905, tc_fun(_u9906, tc_HOL_Obool)), _u9907), _u9908)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9905, tc_fun(_u9906, tc_HOL_Obool)), _u9907), _u9909))) )).
% 29.00/29.24 cnf(matrix-5013, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9910, tc_fun(_u9911, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9910, tc_HOL_Obool)), _u9912), _u9913)), _u9914) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9911, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9910, tc_fun(_u9911, tc_HOL_Obool)), _u9912), _u9914)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9910, tc_fun(_u9911, tc_HOL_Obool)), _u9913), _u9914))) )).
% 29.00/29.24 cnf(matrix-5014, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9915, tc_fun(_u9916, tc_HOL_Obool)), _u9917), hAPP(hAPP(c_COMBB(tc_fun(_u9916, tc_HOL_Obool), tc_fun(_u9916, tc_HOL_Obool), _u9915), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9916, tc_HOL_Obool)), _u9918)), _u9919)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9916, tc_HOL_Obool)), _u9918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9915, tc_fun(_u9916, tc_HOL_Obool)), _u9917), _u9919))) )).
% 29.00/29.24 cnf(matrix-5015, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9920, tc_fun(_u9921, tc_HOL_Obool)), _u9922), hAPP(hAPP(c_COMBC(_u9920, tc_fun(_u9921, tc_HOL_Obool), tc_fun(_u9921, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9921, tc_HOL_Obool), tc_fun(tc_fun(_u9921, tc_HOL_Obool), tc_fun(_u9921, tc_HOL_Obool)), _u9920), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9921, tc_HOL_Obool))), _u9923)), _u9924)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9921, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9920, tc_fun(_u9921, tc_HOL_Obool)), _u9922), _u9923)), _u9924)) )).
% 29.00/29.24 cnf(matrix-5016, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9925, tc_HOL_Obool)), _u9926), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9927, tc_fun(_u9925, tc_HOL_Obool)), _u9928), _u9929)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9927, tc_fun(_u9925, tc_HOL_Obool)), _u9928), hAPP(hAPP(c_COMBB(tc_fun(_u9925, tc_HOL_Obool), tc_fun(_u9925, tc_HOL_Obool), _u9927), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9925, tc_HOL_Obool)), _u9926)), _u9929))) )).
% 29.00/29.24 cnf(matrix-5017, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9930, tc_HOL_Obool)), _u9931), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9932, tc_fun(_u9930, tc_HOL_Obool)), _u9933), _u9934)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9932, tc_fun(_u9930, tc_HOL_Obool)), _u9933), hAPP(hAPP(c_COMBB(tc_fun(_u9930, tc_HOL_Obool), tc_fun(_u9930, tc_HOL_Obool), _u9932), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9930, tc_HOL_Obool)), _u9931)), _u9934))) )).
% 29.00/29.24 cnf(matrix-5018, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9935, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9936, tc_fun(_u9935, tc_HOL_Obool)), _u9937), _u9938)), _u9939) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9936, tc_fun(_u9935, tc_HOL_Obool)), _u9937), hAPP(hAPP(c_COMBC(_u9936, tc_fun(_u9935, tc_HOL_Obool), tc_fun(_u9935, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9935, tc_HOL_Obool), tc_fun(tc_fun(_u9935, tc_HOL_Obool), tc_fun(_u9935, tc_HOL_Obool)), _u9936), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9935, tc_HOL_Obool))), _u9938)), _u9939))) )).
% 29.00/29.24 cnf(matrix-5019, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9940, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9941, tc_fun(_u9940, tc_HOL_Obool)), _u9942), _u9943)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9944, tc_fun(_u9940, tc_HOL_Obool)), _u9945), _u9946)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9941, tc_fun(_u9940, tc_HOL_Obool)), _u9942), hAPP(hAPP(c_COMBB(tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool)), tc_fun(_u9940, tc_HOL_Obool), _u9941), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9944, tc_fun(_u9940, tc_HOL_Obool)), _u9945)), hAPP(hAPP(c_COMBC(_u9941, tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool)), tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9940, tc_HOL_Obool), tc_fun(_u9940, tc_HOL_Obool)), tc_fun(tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool)), tc_fun(_u9944, tc_fun(_u9940, tc_HOL_Obool))), _u9941), c_COMBB(tc_fun(_u9940, tc_HOL_Obool), tc_fun(_u9940, tc_HOL_Obool), _u9944)), hAPP(hAPP(c_COMBB(tc_fun(_u9940, tc_HOL_Obool), tc_fun(tc_fun(_u9940, tc_HOL_Obool), tc_fun(_u9940, tc_HOL_Obool)), _u9941), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9940, tc_HOL_Obool))), _u9943))), _u9946)))) )).
% 29.00/29.24 cnf(matrix-5020, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9947) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9948, tc_fun(_u9949, _u9947)), _u9950), _u9951), _u9952) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9948, _u9947), _u9950), hAPP(hAPP(c_COMBC(_u9948, _u9949, _u9947), _u9951), _u9952))) )).
% 29.00/29.24 cnf(matrix-5021, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9953, tc_fun(_u9954, tc_HOL_Obool)), _u9955), hAPP(hAPP(c_COMBC(_u9953, tc_fun(_u9954, tc_HOL_Obool), tc_fun(_u9954, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9954, tc_HOL_Obool), tc_fun(tc_fun(_u9954, tc_HOL_Obool), tc_fun(_u9954, tc_HOL_Obool)), _u9953), c_Groups_Ominus__class_Ominus(tc_fun(_u9954, tc_HOL_Obool))), _u9956)), _u9957)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9954, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9953, tc_fun(_u9954, tc_HOL_Obool)), _u9955), _u9956)), _u9957)) )).
% 29.00/29.24 cnf(matrix-5022, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9958, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9959, tc_fun(_u9958, tc_HOL_Obool)), _u9960), _u9961)), _u9962) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9959, tc_fun(_u9958, tc_HOL_Obool)), _u9960), hAPP(hAPP(c_COMBC(_u9959, tc_fun(_u9958, tc_HOL_Obool), tc_fun(_u9958, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9958, tc_HOL_Obool), tc_fun(tc_fun(_u9958, tc_HOL_Obool), tc_fun(_u9958, tc_HOL_Obool)), _u9959), c_Groups_Ominus__class_Ominus(tc_fun(_u9958, tc_HOL_Obool))), _u9961)), _u9962))) )).
% 29.00/29.24 cnf(matrix-5023, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9964, tc_HOL_Obool)), _u9965), _u9966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9963), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9964, _u9963), _u9965), _u9967)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9964, _u9963), _u9966), _u9967))) )).
% 29.00/29.24 cnf(matrix-5024, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9968) | ~hBOOL(hAPP(hAPP(c_member(_u9969), _u9970), _u9971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9968), hAPP(_u9972, _u9970)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9969, _u9968), _u9971), _u9972))) )).
% 29.00/29.24 cnf(matrix-5025, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9973), _u9974), _u9975)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9973, tc_fun(_u9976, tc_HOL_Obool)), _u9975), hAPP(hAPP(c_COMBB(tc_fun(_u9976, tc_HOL_Obool), tc_fun(_u9976, tc_HOL_Obool), _u9973), hAPP(c_Set_Oinsert(_u9976), _u9977)), _u9978)) = hAPP(hAPP(c_Set_Oinsert(_u9976), _u9977), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9973, tc_fun(_u9976, tc_HOL_Obool)), _u9975), _u9978))) )).
% 29.00/29.24 cnf(matrix-5026, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9979), _u9980), _u9981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9982, tc_HOL_Obool)), hAPP(_u9983, _u9980)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9979, tc_fun(_u9982, tc_HOL_Obool)), _u9981), _u9983))) )).
% 29.00/29.24 cnf(matrix-5027, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9984), _u9985), _u9986)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9987, tc_HOL_Obool)), hAPP(_u9988, _u9985)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9984, tc_fun(_u9987, tc_HOL_Obool)), _u9986), _u9988)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9984, tc_fun(_u9987, tc_HOL_Obool)), _u9986), _u9988)) )).
% 29.00/29.24 cnf(matrix-5028, plain, ( ( _u9994 != c_Orderings_Obot__class_Obot(tc_fun(_u9996, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9998), _u10000), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9996, tc_fun(_u9998, tc_HOL_Obool)), _u9994), _u10002)) = hAPP(hAPP(c_Set_Oinsert(_u9998), _u10000), c_Orderings_Obot__class_Obot(tc_fun(_u9998, tc_HOL_Obool)))) )).
% 29.00/29.24 cnf(matrix-5029, plain, ( ( _u9995 = c_Orderings_Obot__class_Obot(tc_fun(_u9997, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9999), _u10001), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9997, tc_fun(_u9999, tc_HOL_Obool)), _u9995), _u10003)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9997, tc_fun(_u9999, tc_HOL_Obool)), _u9995), hAPP(hAPP(c_COMBB(tc_fun(_u9999, tc_HOL_Obool), tc_fun(_u9999, tc_HOL_Obool), _u9997), hAPP(c_Set_Oinsert(_u9999), _u10001)), _u10003))) )).
% 29.00/29.24 cnf(matrix-5030, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10004, tc_fun(_u10004, tc_HOL_Obool)), _u10005), hAPP(hAPP(c_COMBC(_u10004, tc_fun(_u10004, tc_HOL_Obool), tc_fun(_u10004, tc_HOL_Obool)), c_Set_Oinsert(_u10004)), c_Orderings_Obot__class_Obot(tc_fun(_u10004, tc_HOL_Obool)))) = _u10005) )).
% 29.00/29.24 cnf(matrix-5031, plain, ( ( _u10011 != c_Orderings_Obot__class_Obot(tc_fun(_u10013, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10013, tc_fun(_u10015, tc_HOL_Obool)), _u10011), hAPP(hAPP(c_COMBB(tc_fun(_u10015, tc_HOL_Obool), tc_fun(_u10015, tc_HOL_Obool), _u10013), hAPP(c_Set_Oinsert(_u10015), _u10017)), _u10019)) = c_Orderings_Obot__class_Obot(tc_fun(_u10015, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-5032, plain, ( ( _u10012 = c_Orderings_Obot__class_Obot(tc_fun(_u10014, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10014, tc_fun(_u10016, tc_HOL_Obool)), _u10012), hAPP(hAPP(c_COMBB(tc_fun(_u10016, tc_HOL_Obool), tc_fun(_u10016, tc_HOL_Obool), _u10014), hAPP(c_Set_Oinsert(_u10016), _u10018)), _u10020)) = hAPP(hAPP(c_Set_Oinsert(_u10016), _u10018), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10014, tc_fun(_u10016, tc_HOL_Obool)), _u10012), _u10020))) )).
% 29.00/29.24 cnf(matrix-5033, plain, ( ( _u10026 != c_Orderings_Obot__class_Obot(tc_fun(_u10028, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10030, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10028, tc_fun(_u10030, tc_HOL_Obool)), _u10026), _u10032)), _u10034) = _u10034) )).
% 29.00/29.24 cnf(matrix-5034, plain, ( ( _u10027 = c_Orderings_Obot__class_Obot(tc_fun(_u10029, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10031, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10029, tc_fun(_u10031, tc_HOL_Obool)), _u10027), _u10033)), _u10035) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10029, tc_fun(_u10031, tc_HOL_Obool)), _u10027), hAPP(hAPP(c_COMBC(_u10029, tc_fun(_u10031, tc_HOL_Obool), tc_fun(_u10031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10031, tc_HOL_Obool), tc_fun(tc_fun(_u10031, tc_HOL_Obool), tc_fun(_u10031, tc_HOL_Obool)), _u10029), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10031, tc_HOL_Obool))), _u10033)), _u10035))) )).
% 29.00/29.24 cnf(matrix-5035, plain, ( ( _u10041 != c_Orderings_Obot__class_Obot(tc_fun(_u10043, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10045, tc_HOL_Obool)), _u10047), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10043, tc_fun(_u10045, tc_HOL_Obool)), _u10041), _u10049)) = _u10047) )).
% 29.00/29.24 cnf(matrix-5036, plain, ( ( _u10042 = c_Orderings_Obot__class_Obot(tc_fun(_u10044, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10046, tc_HOL_Obool)), _u10048), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10044, tc_fun(_u10046, tc_HOL_Obool)), _u10042), _u10050)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10044, tc_fun(_u10046, tc_HOL_Obool)), _u10042), hAPP(hAPP(c_COMBB(tc_fun(_u10046, tc_HOL_Obool), tc_fun(_u10046, tc_HOL_Obool), _u10044), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10046, tc_HOL_Obool)), _u10048)), _u10050))) )).
% 29.00/29.24 cnf(matrix-5037, plain, ( ( _u10056 != c_Orderings_Obot__class_Obot(tc_fun(_u10058, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10058, tc_fun(_u10060, tc_HOL_Obool)), _u10056), hAPP(hAPP(c_COMBC(_u10058, tc_fun(_u10060, tc_HOL_Obool), tc_fun(_u10060, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10060, tc_HOL_Obool), tc_fun(tc_fun(_u10060, tc_HOL_Obool), tc_fun(_u10060, tc_HOL_Obool)), _u10058), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10060, tc_HOL_Obool))), _u10062)), _u10064)) = c_Orderings_Obot__class_Obot(tc_fun(_u10060, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-5038, plain, ( ( _u10057 = c_Orderings_Obot__class_Obot(tc_fun(_u10059, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10059, tc_fun(_u10061, tc_HOL_Obool)), _u10057), hAPP(hAPP(c_COMBC(_u10059, tc_fun(_u10061, tc_HOL_Obool), tc_fun(_u10061, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10061, tc_HOL_Obool), tc_fun(tc_fun(_u10061, tc_HOL_Obool), tc_fun(_u10061, tc_HOL_Obool)), _u10059), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10061, tc_HOL_Obool))), _u10063)), _u10065)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10061, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10059, tc_fun(_u10061, tc_HOL_Obool)), _u10057), _u10063)), _u10065)) )).
% 29.00/29.24 cnf(matrix-5039, plain, ( ( _u10071 != c_Orderings_Obot__class_Obot(tc_fun(_u10073, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10073, tc_fun(_u10075, tc_HOL_Obool)), _u10071), hAPP(hAPP(c_COMBB(tc_fun(_u10075, tc_HOL_Obool), tc_fun(_u10075, tc_HOL_Obool), _u10073), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10075, tc_HOL_Obool)), _u10077)), _u10079)) = c_Orderings_Obot__class_Obot(tc_fun(_u10075, tc_HOL_Obool))) )).
% 29.00/29.24 cnf(matrix-5040, plain, ( ( _u10072 = c_Orderings_Obot__class_Obot(tc_fun(_u10074, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10074, tc_fun(_u10076, tc_HOL_Obool)), _u10072), hAPP(hAPP(c_COMBB(tc_fun(_u10076, tc_HOL_Obool), tc_fun(_u10076, tc_HOL_Obool), _u10074), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10076, tc_HOL_Obool)), _u10078)), _u10080)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10076, tc_HOL_Obool)), _u10078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10074, tc_fun(_u10076, tc_HOL_Obool)), _u10072), _u10080))) )).
% 29.00/29.24 cnf(matrix-5041, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10081, tc_fun(_u10082, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10081), _u10083), _u10084)), _u10085) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10082, tc_HOL_Obool)), hAPP(_u10085, _u10083)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10081, tc_fun(_u10082, tc_HOL_Obool)), _u10084), _u10085))) )).
% 29.00/29.24 cnf(matrix-5042, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10086) = 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, _u10086)), 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)))))))) )).
% 29.00/29.24 cnf(matrix-5043, plain, ( ~c_Equiv__Relations_Oequiv(_u10089, _u10090, _u10091) | ~c_Equiv__Relations_Ocongruent(_u10089, tc_fun(_u10092, tc_HOL_Obool), _u10091, _u10093) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10094), _u10093) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10095), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ( _u10094 = _u10095) | hBOOL(hAPP(hAPP(c_member(_u10089), skolem167(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089)), _u10090)) )).
% 29.00/29.24 cnf(matrix-5044, plain, ( ~c_Equiv__Relations_Oequiv(_u10089, _u10090, _u10091) | ~c_Equiv__Relations_Ocongruent(_u10089, tc_fun(_u10092, tc_HOL_Obool), _u10091, _u10093) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10094), _u10093) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10095), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ( _u10094 = _u10095) | hBOOL(hAPP(hAPP(c_member(_u10089), skolem168(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089)), _u10090)) )).
% 29.00/29.24 cnf(matrix-5045, plain, ( ~c_Equiv__Relations_Oequiv(_u10089, _u10090, _u10091) | ~c_Equiv__Relations_Ocongruent(_u10089, tc_fun(_u10092, tc_HOL_Obool), _u10091, _u10093) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10094), _u10093) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10095), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ( _u10094 = _u10095) | ( hAPP(_u10093, skolem167(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089)) = hAPP(_u10093, skolem168(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089))) )).
% 29.00/29.24 cnf(matrix-5046, plain, ( ~c_Equiv__Relations_Oequiv(_u10089, _u10090, _u10091) | ~c_Equiv__Relations_Ocongruent(_u10089, tc_fun(_u10092, tc_HOL_Obool), _u10091, _u10093) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10094), _u10093) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10089, tc_fun(_u10092, tc_HOL_Obool)), _u10095), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10094), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10089, tc_HOL_Obool)), _u10095), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10089), _u10090), _u10091))) | ( _u10094 = _u10095) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10089, _u10089)), hAPP(hAPP(c_Product__Type_OPair(_u10089, _u10089), skolem167(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089)), skolem168(_u10095, _u10094, _u10093, _u10092, _u10091, _u10090, _u10089))), _u10091)) )).
% 29.00/29.24 cnf(matrix-5047, plain, ( ~c_Equiv__Relations_Oequiv(_u10098, _u10099, _u10100) | ~c_Equiv__Relations_Oequiv(_u10101, _u10102, _u10103) | ~c_Equiv__Relations_Ocongruent2(_u10098, _u10101, tc_fun(_u10104, tc_HOL_Obool), _u10100, _u10103, _u10105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10098, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10098), _u10099), _u10100))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10101, tc_HOL_Obool)), _u10107), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10101), _u10102), _u10103))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10104, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10098, tc_fun(_u10104, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_COMBB(tc_fun(_u10101, tc_fun(_u10104, tc_HOL_Obool)), tc_fun(_u10104, tc_HOL_Obool), _u10098), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10101, tc_fun(_u10104, tc_HOL_Obool)), _u10107)), _u10105))), _u10108)) | hBOOL(hAPP(hAPP(c_member(_u10098), skolem169(_u10108, _u10107, _u10106, _u10105, _u10104, _u10103, _u10102, _u10101, _u10100, _u10099, _u10098)), _u10099)) )).
% 29.00/29.24 cnf(matrix-5048, plain, ( ~c_Equiv__Relations_Oequiv(_u10098, _u10099, _u10100) | ~c_Equiv__Relations_Oequiv(_u10101, _u10102, _u10103) | ~c_Equiv__Relations_Ocongruent2(_u10098, _u10101, tc_fun(_u10104, tc_HOL_Obool), _u10100, _u10103, _u10105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10098, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10098), _u10099), _u10100))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10101, tc_HOL_Obool)), _u10107), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10101), _u10102), _u10103))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10104, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10098, tc_fun(_u10104, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_COMBB(tc_fun(_u10101, tc_fun(_u10104, tc_HOL_Obool)), tc_fun(_u10104, tc_HOL_Obool), _u10098), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10101, tc_fun(_u10104, tc_HOL_Obool)), _u10107)), _u10105))), _u10108)) | hBOOL(hAPP(hAPP(c_member(_u10101), skolem170(_u10108, _u10107, _u10106, _u10105, _u10104, _u10103, _u10102, _u10101, _u10100, _u10099, _u10098)), _u10102)) )).
% 29.00/29.24 cnf(matrix-5049, plain, ( ~c_Equiv__Relations_Oequiv(_u10098, _u10099, _u10100) | ~c_Equiv__Relations_Oequiv(_u10101, _u10102, _u10103) | ~c_Equiv__Relations_Ocongruent2(_u10098, _u10101, tc_fun(_u10104, tc_HOL_Obool), _u10100, _u10103, _u10105) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10098, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10098), _u10099), _u10100))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10101, tc_HOL_Obool)), _u10107), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10101), _u10102), _u10103))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10104, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10098, tc_fun(_u10104, tc_HOL_Obool)), _u10106), hAPP(hAPP(c_COMBB(tc_fun(_u10101, tc_fun(_u10104, tc_HOL_Obool)), tc_fun(_u10104, tc_HOL_Obool), _u10098), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10101, tc_fun(_u10104, tc_HOL_Obool)), _u10107)), _u10105))), _u10108)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10104, tc_HOL_Obool)), hAPP(hAPP(_u10105, skolem169(_u10108, _u10107, _u10106, _u10105, _u10104, _u10103, _u10102, _u10101, _u10100, _u10099, _u10098)), skolem170(_u10108, _u10107, _u10106, _u10105, _u10104, _u10103, _u10102, _u10101, _u10100, _u10099, _u10098))), _u10108)) )).
% 29.00/29.24 cnf(matrix-5050, plain, ( ~c_Equiv__Relations_Oequiv(_u10110, _u10111, _u10112) | ~c_Equiv__Relations_Ocongruent(_u10110, tc_fun(_u10113, tc_HOL_Obool), _u10112, _u10114) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10110, tc_HOL_Obool)), _u10115), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10110), _u10111), _u10112))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10113, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10110, tc_fun(_u10113, tc_HOL_Obool)), _u10115), _u10114)), _u10116)) | hBOOL(hAPP(hAPP(c_member(_u10110), skolem171(_u10116, _u10115, _u10114, _u10113, _u10112, _u10111, _u10110)), _u10111)) )).
% 29.00/29.25 cnf(matrix-5051, plain, ( ~c_Equiv__Relations_Oequiv(_u10110, _u10111, _u10112) | ~c_Equiv__Relations_Ocongruent(_u10110, tc_fun(_u10113, tc_HOL_Obool), _u10112, _u10114) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10110, tc_HOL_Obool)), _u10115), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10110), _u10111), _u10112))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10113, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10110, tc_fun(_u10113, tc_HOL_Obool)), _u10115), _u10114)), _u10116)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10113, tc_HOL_Obool)), hAPP(_u10114, skolem171(_u10116, _u10115, _u10114, _u10113, _u10112, _u10111, _u10110))), _u10116)) )).
% 29.00/29.25 cnf(matrix-5052, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10117), _u10118), _u10119)) | ~hBOOL(hAPP(hAPP(hAPP(_u10120, _u10118), _u10121), _u10122)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10117, tc_fun(_u10123, tc_fun(_u10124, tc_HOL_Obool))), _u10119), _u10120), _u10121), _u10122)) )).
% 29.00/29.25 cnf(matrix-5053, plain, ( ( hAPP(c_Int_ORep__Integ, _u10127) != hAPP(c_Int_ORep__Integ, _u10129)) | ( _u10127 = _u10129) )).
% 29.00/29.25 cnf(matrix-5054, plain, ( ( _u10128 != _u10130) | ( hAPP(c_Int_ORep__Integ, _u10128) = hAPP(c_Int_ORep__Integ, _u10130)) )).
% 29.00/29.25 cnf(matrix-5055, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u10131)) = _u10131) )).
% 29.00/29.25 cnf(matrix-5056, plain, ( ( hAPP(c_Int_Onat, _u10132) = 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, _u10132)), 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))))))) )).
% 29.00/29.25 cnf(matrix-5057, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u10133, _u10134, _u10135, _u10136, _u10137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10134), _u10138)) | ( hAPP(hAPP(_u10137, _u10139), _u10138) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10133, _u10134, _u10135), _u10139), _u10136), _u10138)) )).
% 29.00/29.25 cnf(matrix-5058, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u10133, _u10134, _u10135, _u10136, _u10137) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10134), _u10138)) | ( hAPP(hAPP(_u10137, _u10139), _u10138) = _u10136) )).
% 29.00/29.25 cnf(matrix-5059, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10141) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10142), _u10143)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10142), _u10144)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10142, tc_HOL_Obool)), _u10143), _u10144)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10141), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), _u10143)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), _u10144))) | hBOOL(hAPP(hAPP(c_member(_u10142), skolem172(_u10145, _u10144, _u10143, _u10142, _u10141)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10142, tc_HOL_Obool)), _u10143), _u10144))) )).
% 29.00/29.25 cnf(matrix-5060, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10141) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10142), _u10143)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10142), _u10144)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10142, tc_HOL_Obool)), _u10143), _u10144)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10141), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), _u10143)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10141, _u10142, c_Groups_Otimes__class_Otimes(_u10141)), _u10145), c_Groups_Oone__class_Oone(_u10141)), _u10144))) | ( hAPP(_u10145, skolem172(_u10145, _u10144, _u10143, _u10142, _u10141)) != c_Groups_Oone__class_Oone(_u10141)) )).
% 29.00/29.25 cnf(matrix-5061, plain, ( ( c_Relation_OId__on(_u10146, _u10147) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10146, tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool)), _u10147), hAPP(hAPP(c_COMBC(_u10146, tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool), tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u10146, _u10146), tc_fun(tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool), tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool)), _u10146), c_Set_Oinsert(tc_prod(_u10146, _u10146))), hAPP(hAPP(c_COMBS(_u10146, _u10146, tc_prod(_u10146, _u10146)), c_Product__Type_OPair(_u10146, _u10146)), c_COMBI(_u10146)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10146, _u10146), tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5062, plain, ( ~class_Orderings_Olinorder(_u10148) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10148), _u10149), _u10150)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10148, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10148, _u10149, _u10150)), hAPP(hAPP(c_Set_Oinsert(_u10148), _u10150), c_Orderings_Obot__class_Obot(tc_fun(_u10148, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10148, _u10149, _u10150)) )).
% 29.00/29.25 cnf(matrix-5063, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10151, _u10152))) )).
% 29.00/29.25 cnf(matrix-5064, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10153, _u10154))) )).
% 29.00/29.25 cnf(matrix-5065, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10164, tc_fun(_u10166, tc_fun(_u10168, tc_HOL_Obool))), _u10170), _u10172), _u10174), _u10176)) | hBOOL(hAPP(hAPP(c_member(_u10164), skolem173(_u10176, _u10174, _u10172, _u10170, _u10168, _u10166, _u10164)), _u10170)) )).
% 29.00/29.25 cnf(matrix-5066, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10164, tc_fun(_u10166, tc_fun(_u10168, tc_HOL_Obool))), _u10170), _u10172), _u10174), _u10176)) | hBOOL(hAPP(hAPP(hAPP(_u10172, skolem173(_u10176, _u10174, _u10172, _u10170, _u10168, _u10166, _u10164)), _u10174), _u10176)) )).
% 29.00/29.25 cnf(matrix-5067, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10165), _u10156), _u10171)) | ~hBOOL(hAPP(hAPP(hAPP(_u10173, _u10156), _u10175), _u10177)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10165, tc_fun(_u10167, tc_fun(_u10169, tc_HOL_Obool))), _u10171), _u10173), _u10175), _u10177)) )).
% 29.00/29.25 cnf(matrix-5068, plain, ( ( c_Relation_OId__on(_u10178, _u10179) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10178, _u10178, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10178, tc_HOL_Obool, tc_fun(_u10178, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10178, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10178, tc_HOL_Obool)), _u10178), c_COMBC(_u10178, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10178, tc_HOL_Obool), tc_fun(_u10178, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10178), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10178), c_fconj)), c_fequal))), _u10179))) )).
% 29.00/29.25 cnf(matrix-5069, plain, ( ~class_Orderings_Oorder(_u10180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10180), _u10181), _u10182)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10180, _u10182, _u10181) = c_Orderings_Obot__class_Obot(tc_fun(_u10180, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5070, plain, ( ~class_Orderings_Oorder(_u10183) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10183, _u10184, _u10185) != c_Orderings_Obot__class_Obot(tc_fun(_u10183, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10183), _u10184), _u10185)) )).
% 29.00/29.25 cnf(matrix-5071, plain, ( ~class_Orderings_Oorder(_u10183) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10183), _u10184), _u10185)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10183, _u10184, _u10185) = c_Orderings_Obot__class_Obot(tc_fun(_u10183, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5072, plain, ( ~class_Orderings_Oorder(_u10186) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10186, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10186, _u10187, _u10188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10186), _u10187), _u10188)) )).
% 29.00/29.25 cnf(matrix-5073, plain, ( ~class_Orderings_Oorder(_u10186) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10186), _u10187), _u10188)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10186, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10186, _u10187, _u10188)) )).
% 29.00/29.25 cnf(matrix-5074, plain, ( ~class_Orderings_Olinorder(_u10189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10189), _u10190), _u10191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10189), _u10191), _u10192)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10189, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10189, _u10190, _u10191)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10189, _u10191, _u10192)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10189, _u10190, _u10192)) )).
% 29.00/29.25 cnf(matrix-5075, plain, ( ~class_Orderings_Oorder(_u10193) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10193, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10193, _u10194, _u10195)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10193, _u10195, _u10196)) = c_Orderings_Obot__class_Obot(tc_fun(_u10193, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5076, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10197, _u10198)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10198), _u10197)) )).
% 29.00/29.25 cnf(matrix-5077, plain, ( ( c_Relation_OId__on(_u10199, c_Orderings_Obot__class_Obot(tc_fun(_u10199, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10199, _u10199), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5078, plain, ( ( hAPP(c_Relation_OImage(_u10200, _u10200, c_Relation_OId__on(_u10200, _u10201)), _u10202) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10200, tc_HOL_Obool)), _u10201), _u10202)) )).
% 29.00/29.25 cnf(matrix-5079, plain, ( ~class_Orderings_Olinorder(_u10203) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10203, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10203, _u10204, _u10205)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10203, _u10206, _u10207)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10203, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10203), _u10204), _u10206), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10203), _u10205), _u10207))) )).
% 29.00/29.25 cnf(matrix-5080, plain, ( ~class_Orderings_Oorder(_u10208) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10208, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10208, _u10209, _u10210)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10208, _u10210, _u10211)) = c_Orderings_Obot__class_Obot(tc_fun(_u10208, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5081, plain, ( ( _u10212 != _u10213) | ~hBOOL(hAPP(hAPP(c_member(_u10214), _u10212), _u10215)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10214, _u10214)), hAPP(hAPP(c_Product__Type_OPair(_u10214, _u10214), _u10212), _u10213)), c_Relation_OId__on(_u10214, _u10215))) )).
% 29.00/29.25 cnf(matrix-5082, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10220, _u10220)), hAPP(hAPP(c_Product__Type_OPair(_u10220, _u10220), _u10222), _u10224)), c_Relation_OId__on(_u10220, _u10226))) | ( _u10222 = _u10224) )).
% 29.00/29.25 cnf(matrix-5083, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10220, _u10220)), hAPP(hAPP(c_Product__Type_OPair(_u10220, _u10220), _u10222), _u10224)), c_Relation_OId__on(_u10220, _u10226))) | hBOOL(hAPP(hAPP(c_member(_u10220), _u10222), _u10226)) )).
% 29.00/29.25 cnf(matrix-5084, plain, ( ( _u10223 != _u10225) | ~hBOOL(hAPP(hAPP(c_member(_u10221), _u10223), _u10227)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10221, _u10221)), hAPP(hAPP(c_Product__Type_OPair(_u10221, _u10221), _u10223), _u10225)), c_Relation_OId__on(_u10221, _u10227))) )).
% 29.00/29.25 cnf(matrix-5085, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10228, _u10229)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10229), _u10228))) )).
% 29.00/29.25 cnf(matrix-5086, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10231), _u10235)) | ( hAPP(hAPP(_u10234, _u10236), _u10235) = _u10233) | ~c_Big__Operators_Ocomm__monoid__big(_u10230, _u10231, _u10232, _u10233, _u10234) )).
% 29.00/29.25 cnf(matrix-5087, plain, ( ~class_Orderings_Olinorder(_u10237) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10237), _u10238), _u10239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10237), _u10239), _u10240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10237, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10237, _u10238, _u10239)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10237, _u10239, _u10240)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10237, _u10238, _u10240)) )).
% 29.00/29.25 cnf(matrix-5088, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10242, _u10242)), _u10243), c_Relation_OId__on(_u10242, _u10244))) | hBOOL(hAPP(hAPP(c_member(_u10242), skolem174(_u10244, _u10243, _u10242)), _u10244)) )).
% 29.00/29.25 cnf(matrix-5089, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10242, _u10242)), _u10243), c_Relation_OId__on(_u10242, _u10244))) | ( _u10243 = hAPP(hAPP(c_Product__Type_OPair(_u10242, _u10242), skolem174(_u10244, _u10243, _u10242)), skolem174(_u10244, _u10243, _u10242))) )).
% 29.00/29.25 cnf(matrix-5090, plain, ( ~class_Orderings_Olinorder(_u10247) | ( hAPP(_u10248, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10247), skolem175(_u10249, _u10248, _u10247)), skolem176(_u10249, _u10248, _u10247))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10247), hAPP(_u10248, skolem175(_u10249, _u10248, _u10247))), hAPP(_u10248, skolem176(_u10249, _u10248, _u10247)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10247), _u10249)) | ( _u10249 = c_Orderings_Obot__class_Obot(tc_fun(_u10247, tc_HOL_Obool))) | ( hAPP(_u10248, c_Big__Operators_Olattice_OSup__fin(_u10247, c_Orderings_Oord__class_Omax(_u10247), _u10249)) = c_Big__Operators_Olattice_OSup__fin(_u10247, c_Orderings_Oord__class_Omax(_u10247), hAPP(c_Set_Oimage(_u10247, _u10247, _u10248), _u10249))) )).
% 29.00/29.25 cnf(matrix-5091, plain, ( ~class_Orderings_Olinorder(_u10252) | ( hAPP(_u10253, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10252), skolem177(_u10254, _u10253, _u10252)), skolem178(_u10254, _u10253, _u10252))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10252), hAPP(_u10253, skolem177(_u10254, _u10253, _u10252))), hAPP(_u10253, skolem178(_u10254, _u10253, _u10252)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10252), _u10254)) | ( _u10254 = c_Orderings_Obot__class_Obot(tc_fun(_u10252, tc_HOL_Obool))) | ( hAPP(_u10253, c_Big__Operators_Olattice_OInf__fin(_u10252, c_Orderings_Oord__class_Omin(_u10252), _u10254)) = c_Big__Operators_Olattice_OInf__fin(_u10252, c_Orderings_Oord__class_Omin(_u10252), hAPP(c_Set_Oimage(_u10252, _u10252, _u10253), _u10254))) )).
% 29.00/29.25 cnf(matrix-5092, plain, ( ~class_Orderings_Olinorder(_u10257) | ( hAPP(_u10258, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10257), skolem179(_u10259, _u10258, _u10257)), skolem180(_u10259, _u10258, _u10257))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10257), hAPP(_u10258, skolem179(_u10259, _u10258, _u10257))), hAPP(_u10258, skolem180(_u10259, _u10258, _u10257)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10257), _u10259)) | ( _u10259 = c_Orderings_Obot__class_Obot(tc_fun(_u10257, tc_HOL_Obool))) | ( hAPP(_u10258, c_Big__Operators_Olinorder__class_OMax(_u10257, _u10259)) = c_Big__Operators_Olinorder__class_OMax(_u10257, hAPP(c_Set_Oimage(_u10257, _u10257, _u10258), _u10259))) )).
% 29.00/29.25 cnf(matrix-5093, plain, ( ~class_Orderings_Olinorder(_u10262) | ( hAPP(_u10263, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10262), skolem181(_u10264, _u10263, _u10262)), skolem182(_u10264, _u10263, _u10262))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10262), hAPP(_u10263, skolem181(_u10264, _u10263, _u10262))), hAPP(_u10263, skolem182(_u10264, _u10263, _u10262)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10262), _u10264)) | ( _u10264 = c_Orderings_Obot__class_Obot(tc_fun(_u10262, tc_HOL_Obool))) | ( hAPP(_u10263, c_Big__Operators_Olinorder__class_OMin(_u10262, _u10264)) = c_Big__Operators_Olinorder__class_OMin(_u10262, hAPP(c_Set_Oimage(_u10262, _u10262, _u10263), _u10264))) )).
% 29.00/29.25 cnf(matrix-5094, plain, ( ~class_Lattices_Olattice(_u10267) | ( hAPP(_u10268, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10267), skolem183(_u10269, _u10268, _u10267)), skolem184(_u10269, _u10268, _u10267))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10267), hAPP(_u10268, skolem183(_u10269, _u10268, _u10267))), hAPP(_u10268, skolem184(_u10269, _u10268, _u10267)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10267), _u10269)) | ( _u10269 = c_Orderings_Obot__class_Obot(tc_fun(_u10267, tc_HOL_Obool))) | ( hAPP(_u10268, c_Big__Operators_Olattice__class_OInf__fin(_u10267, _u10269)) = c_Big__Operators_Olattice__class_OInf__fin(_u10267, hAPP(c_Set_Oimage(_u10267, _u10267, _u10268), _u10269))) )).
% 29.00/29.25 cnf(matrix-5095, plain, ( ~class_Lattices_Olattice(_u10272) | ( hAPP(_u10273, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10272), skolem185(_u10274, _u10273, _u10272)), skolem186(_u10274, _u10273, _u10272))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10272), hAPP(_u10273, skolem185(_u10274, _u10273, _u10272))), hAPP(_u10273, skolem186(_u10274, _u10273, _u10272)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10272), _u10274)) | ( _u10274 = c_Orderings_Obot__class_Obot(tc_fun(_u10272, tc_HOL_Obool))) | ( hAPP(_u10273, c_Big__Operators_Olattice__class_OSup__fin(_u10272, _u10274)) = c_Big__Operators_Olattice__class_OSup__fin(_u10272, hAPP(c_Set_Oimage(_u10272, _u10272, _u10273), _u10274))) )).
% 29.00/29.25 cnf(matrix-5096, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10277, tc_HOL_Obool)), _u10279), _u10278)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10277, _u10276), _u10280), _u10278) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10277, _u10276), _u10280), _u10279)) | hBOOL(hAPP(hAPP(c_member(_u10277), skolem187(_u10280, _u10279, _u10278, _u10277, _u10276)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10277, tc_HOL_Obool)), _u10278), _u10279))) )).
% 29.00/29.25 cnf(matrix-5097, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10277), _u10278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10277, tc_HOL_Obool)), _u10279), _u10278)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10277, _u10276), _u10280), _u10278) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10277, _u10276), _u10280), _u10279)) | ( hAPP(_u10280, skolem187(_u10280, _u10279, _u10278, _u10277, _u10276)) != c_Groups_Oone__class_Oone(_u10276)) )).
% 29.00/29.25 cnf(matrix-5098, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10283, tc_HOL_Obool)), _u10285), _u10284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), _u10286), _u10285) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), _u10286), _u10284)) | hBOOL(hAPP(hAPP(c_member(_u10283), skolem188(_u10286, _u10285, _u10284, _u10283, _u10282)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10283, tc_HOL_Obool)), _u10284), _u10285))) )).
% 29.00/29.25 cnf(matrix-5099, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10283), _u10284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10283, tc_HOL_Obool)), _u10285), _u10284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), _u10286), _u10285) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10283, _u10282), _u10286), _u10284)) | ( hAPP(_u10286, skolem188(_u10286, _u10285, _u10284, _u10283, _u10282)) != c_Groups_Oone__class_Oone(_u10282)) )).
% 29.00/29.25 cnf(matrix-5100, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10287), _u10288)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u10287, tc_HOL_Obool)), hAPP(c_Set_OPow(_u10287), _u10288)) = 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(_u10287), _u10288))) )).
% 29.00/29.25 cnf(matrix-5101, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ~hBOOL(hAPP(_u10293, _u10292)) | hBOOL(hAPP(_u10293, c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), skolem190(_u10293, _u10292, _u10291))) )).
% 29.00/29.25 cnf(matrix-5102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ~hBOOL(hAPP(_u10293, _u10292)) | hBOOL(hAPP(_u10293, c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u10291), skolem189(_u10293, _u10292, _u10291)), skolem190(_u10293, _u10292, _u10291))) )).
% 29.00/29.25 cnf(matrix-5103, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ~hBOOL(hAPP(_u10293, _u10292)) | hBOOL(hAPP(_u10293, c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))) | hBOOL(hAPP(_u10293, skolem190(_u10293, _u10292, _u10291))) )).
% 29.00/29.25 cnf(matrix-5104, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10291), _u10292)) | ~hBOOL(hAPP(_u10293, _u10292)) | hBOOL(hAPP(_u10293, c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u10293, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10291, tc_HOL_Obool)), skolem190(_u10293, _u10292, _u10291)), hAPP(hAPP(c_Set_Oinsert(_u10291), skolem189(_u10293, _u10292, _u10291)), c_Orderings_Obot__class_Obot(tc_fun(_u10291, tc_HOL_Obool)))))) )).
% 29.00/29.25 cnf(matrix-5105, plain, ( ~class_Orderings_Olinorder(_u10294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10294), _u10295), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10294), _u10296), _u10297)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10294, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10294, _u10295, _u10296)), c_SetInterval_Oord__class_OatLeastAtMost(_u10294, _u10296, _u10297)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10294, _u10295, _u10297)) )).
% 29.00/29.25 cnf(matrix-5106, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10298, _u10299))) )).
% 29.00/29.25 cnf(matrix-5107, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10300, _u10301))) )).
% 29.00/29.25 cnf(matrix-5108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10302, tc_HOL_Obool)), _u10303), _u10304)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10302, tc_HOL_Obool)), _u10303), hAPP(c_Set_OPow(_u10302), _u10304))) )).
% 29.00/29.25 cnf(matrix-5109, plain, ( ( hAPP(c_Set_OPow(_u10305), hAPP(hAPP(c_Set_Oinsert(_u10305), _u10306), _u10307)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u10305, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10305), _u10307)), hAPP(c_Set_Oimage(tc_fun(_u10305, tc_HOL_Obool), tc_fun(_u10305, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u10305), _u10306)), hAPP(c_Set_OPow(_u10305), _u10307)))) )).
% 29.00/29.25 cnf(matrix-5110, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10310, tc_HOL_Obool)), hAPP(c_Set_OPow(_u10310), _u10312))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10310), _u10312)) )).
% 29.00/29.25 cnf(matrix-5111, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10311), _u10313)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10311, tc_HOL_Obool)), hAPP(c_Set_OPow(_u10311), _u10313))) )).
% 29.00/29.25 cnf(matrix-5112, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10314, _u10315) = 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), _u10314), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10315)))) )).
% 29.00/29.25 cnf(matrix-5113, 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)), _u10316)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10317, _u10318)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10317), _u10316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10318), _u10316))) )).
% 29.00/29.25 cnf(matrix-5114, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u10319, tc_HOL_Obool)), _u10320), hAPP(c_Set_OPow(_u10319), _u10320))) )).
% 29.00/29.25 cnf(matrix-5115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10321, tc_HOL_Obool)), _u10322), _u10323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10321, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10321), _u10322)), hAPP(c_Set_OPow(_u10321), _u10323))) )).
% 29.00/29.25 cnf(matrix-5116, plain, ( ( hAPP(c_Set_Oimage(_u10324, _u10325, _u10326), _u10327) != _u10328) | ( hAPP(c_Set_Oimage(tc_fun(_u10324, tc_HOL_Obool), tc_fun(_u10325, tc_HOL_Obool), c_Set_Oimage(_u10324, _u10325, _u10326)), hAPP(c_Set_OPow(_u10324), _u10327)) = hAPP(c_Set_OPow(_u10325), _u10328)) )).
% 29.00/29.25 cnf(matrix-5117, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10329, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u10329, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10329), _u10330)), hAPP(c_Set_OPow(_u10329), _u10331))), hAPP(c_Set_OPow(_u10329), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10329, tc_HOL_Obool)), _u10330), _u10331)))) )).
% 29.00/29.25 cnf(matrix-5118, plain, ( ( hAPP(c_Set_Oimage(_u10333, tc_fun(_u10333, tc_HOL_Obool), _u10332), _u10334) != hAPP(c_Set_OPow(_u10333), _u10334)) )).
% 29.00/29.25 cnf(matrix-5119, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10335, _u10336)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10335), hAPP(c_Nat_OSuc, _u10336))) )).
% 29.00/29.25 cnf(matrix-5120, plain, ( ( hAPP(c_Set_OPow(_u10337), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10337, tc_HOL_Obool)), _u10338), _u10339)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u10337, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10337), _u10338)), hAPP(c_Set_OPow(_u10337), _u10339))) )).
% 29.00/29.25 cnf(matrix-5121, plain, ( ( hAPP(c_Set_OPow(_u10340), _u10341) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10340, tc_HOL_Obool), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5122, plain, ( ~c_Nat__Transfer_Ois__nat(_u10342) | ~c_Nat__Transfer_Ois__nat(_u10343) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10342, _u10343) = 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, _u10342), hAPP(c_Int_Onat, _u10343)))) )).
% 29.00/29.25 cnf(matrix-5123, plain, ( ~c_Nat__Transfer_Ois__nat(_u10344) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10344, _u10345)) )).
% 29.00/29.25 cnf(matrix-5124, plain, ( ~class_Orderings_Oorder(_u10346) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10346, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u10346, _u10347, _u10348)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10346), _u10347), _u10348)) )).
% 29.00/29.25 cnf(matrix-5125, plain, ( ~class_Orderings_Oorder(_u10346) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10346), _u10347), _u10348)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10346, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10346, _u10347, _u10348)) )).
% 29.00/29.25 cnf(matrix-5126, plain, ( ~class_Orderings_Oorder(_u10349) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10349, _u10350, _u10351) != c_Orderings_Obot__class_Obot(tc_fun(_u10349, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), _u10350), _u10351)) )).
% 29.00/29.25 cnf(matrix-5127, plain, ( ~class_Orderings_Oorder(_u10349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10349), _u10350), _u10351)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10349, _u10350, _u10351) = c_Orderings_Obot__class_Obot(tc_fun(_u10349, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5128, plain, ( ~class_Orderings_Oorder(_u10352) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10352), _u10353), _u10354)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10352, _u10354, _u10353) = c_Orderings_Obot__class_Obot(tc_fun(_u10352, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5129, plain, ( ~class_Orderings_Oorder(_u10355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10356, _u10357)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10358, _u10359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10356), _u10357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10358), _u10356)) )).
% 29.00/29.25 cnf(matrix-5130, plain, ( ~class_Orderings_Oorder(_u10355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10356, _u10357)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10358, _u10359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10356), _u10357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10357), _u10359)) )).
% 29.00/29.25 cnf(matrix-5131, plain, ( ~class_Orderings_Oorder(_u10355) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10356, _u10357)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10358, _u10359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10356), _u10357)) )).
% 29.00/29.25 cnf(matrix-5132, plain, ( ~class_Orderings_Oorder(_u10355) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10356, _u10357)), c_SetInterval_Oord__class_OatLeastAtMost(_u10355, _u10358, _u10359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10358), _u10356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10355), _u10357), _u10359)) )).
% 29.00/29.25 cnf(matrix-5133, plain, ( ~class_Orderings_Oorder(_u10360) | ( _u10361 != _u10362) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10360, _u10361, _u10362) = hAPP(hAPP(c_Set_Oinsert(_u10360), _u10361), c_Orderings_Obot__class_Obot(tc_fun(_u10360, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5134, plain, ( ~class_Orderings_Oorder(_u10363) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10363, _u10364, _u10365) != hAPP(hAPP(c_Set_Oinsert(_u10363), _u10366), c_Orderings_Obot__class_Obot(tc_fun(_u10363, tc_HOL_Obool)))) | ( _u10364 = _u10365) )).
% 29.00/29.25 cnf(matrix-5135, plain, ( ~class_Orderings_Oorder(_u10363) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10363, _u10364, _u10365) != hAPP(hAPP(c_Set_Oinsert(_u10363), _u10366), c_Orderings_Obot__class_Obot(tc_fun(_u10363, tc_HOL_Obool)))) | ( _u10365 = _u10366) )).
% 29.00/29.25 cnf(matrix-5136, plain, ( ~class_Orderings_Oorder(_u10363) | ( _u10364 != _u10365) | ( _u10365 != _u10366) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10363, _u10364, _u10365) = hAPP(hAPP(c_Set_Oinsert(_u10363), _u10366), c_Orderings_Obot__class_Obot(tc_fun(_u10363, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5137, plain, ( ~class_Orderings_Oorder(_u10367) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u10367, _u10368, _u10368) = hAPP(hAPP(c_Set_Oinsert(_u10367), _u10368), c_Orderings_Obot__class_Obot(tc_fun(_u10367, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5138, plain, ( ~class_Groups_Oordered__ab__group__add(_u10369) | ( hAPP(c_Set_Oimage(_u10369, _u10369, c_Groups_Ouminus__class_Ouminus(_u10369)), c_SetInterval_Oord__class_OatLeastAtMost(_u10369, _u10370, _u10371)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10369, hAPP(c_Groups_Ouminus__class_Ouminus(_u10369), _u10371), hAPP(c_Groups_Ouminus__class_Ouminus(_u10369), _u10370))) )).
% 29.00/29.25 cnf(matrix-5139, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u10372, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u10372, tc_HOL_Obool))), hAPP(c_Set_OPow(_u10372), _u10373))) )).
% 29.00/29.25 cnf(matrix-5140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10374, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10375, _u10374, _u10376), _u10377)), _u10378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10374, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u10375, tc_HOL_Obool), tc_fun(_u10374, tc_HOL_Obool), c_Set_Oimage(_u10375, _u10374, _u10376)), hAPP(c_Set_OPow(_u10375), _u10377))), hAPP(c_Set_OPow(_u10374), _u10378))) )).
% 29.00/29.25 cnf(matrix-5141, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10382, tc_HOL_Obool)), _u10384), hAPP(c_Set_OPow(_u10382), _u10386))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10382, tc_HOL_Obool)), _u10384), _u10386)) )).
% 29.00/29.25 cnf(matrix-5142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10383, tc_HOL_Obool)), _u10385), _u10387)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10383, tc_HOL_Obool)), _u10385), hAPP(c_Set_OPow(_u10383), _u10387))) )).
% 29.00/29.25 cnf(matrix-5143, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10388, tc_HOL_Obool)), _u10389), hAPP(c_Set_OPow(_u10388), _u10390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10388, tc_HOL_Obool)), _u10389), _u10390)) )).
% 29.00/29.25 cnf(matrix-5144, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10391), _u10392) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10391, _u10392)) )).
% 29.00/29.25 cnf(matrix-5145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10393)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10393, _u10394)) )).
% 29.00/29.25 cnf(matrix-5146, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10395, _u10396)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10396)), _u10395)) )).
% 29.00/29.25 cnf(matrix-5147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10397), hAPP(c_Nat_OSuc, _u10398))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10397, hAPP(c_Nat_OSuc, _u10398)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10398)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10397, _u10398))) )).
% 29.00/29.25 cnf(matrix-5148, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10399), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10400) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10399, _u10400)) )).
% 29.00/29.25 cnf(matrix-5149, plain, ( ~class_Orderings_Olinorder(_u10401) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10401, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10401, _u10402, _u10403)), c_SetInterval_Oord__class_OatLeastAtMost(_u10401, _u10404, _u10405)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10401, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10401), _u10402), _u10404), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10401), _u10403), _u10405))) )).
% 29.00/29.25 cnf(matrix-5150, plain, ( ~class_Orderings_Oorder(_u10406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10407), _u10408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10407)) )).
% 29.00/29.25 cnf(matrix-5151, plain, ( ~class_Orderings_Oorder(_u10406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10407), _u10408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10408), _u10410)) )).
% 29.00/29.25 cnf(matrix-5152, plain, ( ~class_Orderings_Oorder(_u10406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10407), _u10408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10406), _u10409), _u10407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10406), _u10408), _u10410)) )).
% 29.00/29.25 cnf(matrix-5153, plain, ( ~class_Orderings_Oorder(_u10406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10410)) )).
% 29.00/29.25 cnf(matrix-5154, plain, ( ~class_Orderings_Oorder(_u10406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10407), _u10408)) )).
% 29.00/29.25 cnf(matrix-5155, plain, ( ~class_Orderings_Oorder(_u10406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10408), _u10410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10406), _u10409), _u10407)) )).
% 29.00/29.25 cnf(matrix-5156, plain, ( ~class_Orderings_Oorder(_u10406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10406, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10407, _u10408)), c_SetInterval_Oord__class_OatLeastAtMost(_u10406, _u10409, _u10410))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10409), _u10407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10406), _u10408), _u10410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10406), _u10408), _u10410)) )).
% 29.00/29.25 cnf(matrix-5157, plain, ( ~class_Orderings_Olinorder(_u10411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10411), _u10412), _u10413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10411), _u10413), _u10414)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10411, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10411, _u10412, _u10413)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10411, _u10413, _u10414)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10411, _u10412, _u10414)) )).
% 29.00/29.25 cnf(matrix-5158, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10415, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10416, tc_fun(tc_fun(_u10415, tc_HOL_Obool), tc_HOL_Obool)), _u10417), hAPP(hAPP(c_COMBB(tc_fun(_u10415, tc_HOL_Obool), tc_fun(tc_fun(_u10415, tc_HOL_Obool), tc_HOL_Obool), _u10416), c_Set_OPow(_u10415)), _u10418))), hAPP(c_Set_OPow(_u10415), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10416, tc_fun(_u10415, tc_HOL_Obool)), _u10417), _u10418)))) )).
% 29.00/29.25 cnf(matrix-5159, plain, ( ~class_Orderings_Oorder(_u10419) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10419, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10419, _u10420, _u10421)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10419, _u10421, _u10422)) = c_Orderings_Obot__class_Obot(tc_fun(_u10419, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5160, plain, ( ~class_Orderings_Oorder(_u10423) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10423, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10423, _u10424, _u10425)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10423, _u10425, _u10426)) = c_Orderings_Obot__class_Obot(tc_fun(_u10423, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5161, plain, ( ~class_Orderings_Oorder(_u10427) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10427, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10427, _u10428, _u10429)), c_SetInterval_Oord__class_OatLeastAtMost(_u10427, _u10429, _u10430)) = c_Orderings_Obot__class_Obot(tc_fun(_u10427, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5162, plain, ( ( hAPP(c_Set_OPow(_u10431), c_Orderings_Obot__class_Obot(tc_fun(_u10431, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u10431, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u10431, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10431, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5163, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10434), _u10436)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10436, _u10434) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5164, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10435), _u10437)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10437, _u10435) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u10437), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10437), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10435))) )).
% 29.00/29.25 cnf(matrix-5165, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10438, _u10439)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10439), _u10438)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 29.00/29.25 cnf(matrix-5166, plain, ( ~class_Orderings_Olinorder(_u10440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10440), _u10441), _u10442)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10440, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10440), _u10441), c_Orderings_Obot__class_Obot(tc_fun(_u10440, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10440, _u10441, _u10442)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10440, _u10441, _u10442)) )).
% 29.00/29.25 cnf(matrix-5167, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u10446, hAPP(hAPP(c_COMBC(_u10446, tc_fun(_u10446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10446)), _u10448)), _u10450)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10446, tc_HOL_Obool)), _u10450), hAPP(c_Set_OPow(_u10446), _u10448))) )).
% 29.00/29.25 cnf(matrix-5168, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10447, tc_HOL_Obool)), _u10451), hAPP(c_Set_OPow(_u10447), _u10449))) | hBOOL(hAPP(c_Predicate_OPowp(_u10447, hAPP(hAPP(c_COMBC(_u10447, tc_fun(_u10447, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10447)), _u10449)), _u10451)) )).
% 29.00/29.25 cnf(matrix-5169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10455)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10456), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), _u10454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10454), _u10455))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u10457, _u10456, _u10455, _u10454)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10455))) )).
% 29.00/29.25 cnf(matrix-5170, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10455)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10456), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), _u10454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10454), _u10455))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u10457, _u10456, _u10455, _u10454)), _u10457)) )).
% 29.00/29.25 cnf(matrix-5171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10455)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10456), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), _u10454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10456), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10454), _u10455))) | ( _u10454 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem192(_u10457, _u10456, _u10455, _u10454)), skolem191(_u10457, _u10456, _u10455, _u10454))) )).
% 29.00/29.25 cnf(matrix-5172, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10461)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10462), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10460), _u10462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10460), _u10461)), _u10462)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u10463, _u10462, _u10461, _u10460)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10461))) )).
% 29.00/29.25 cnf(matrix-5173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10461)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10462), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10460), _u10462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10460), _u10461)), _u10462)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u10463, _u10462, _u10461, _u10460)), _u10463)) )).
% 29.00/29.25 cnf(matrix-5174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10461)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10462), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10460), _u10462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10460), _u10461)), _u10462)) | ( _u10460 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem194(_u10463, _u10462, _u10461, _u10460)), skolem193(_u10463, _u10462, _u10461, _u10460))) )).
% 29.00/29.25 cnf(matrix-5175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10467)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10468), _u10469)) | ( _u10466 = _u10468) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10466), _u10467) != _u10468) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u10469, _u10468, _u10467, _u10466)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10467))) )).
% 29.00/29.25 cnf(matrix-5176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10467)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10468), _u10469)) | ( _u10466 = _u10468) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10466), _u10467) != _u10468) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u10469, _u10468, _u10467, _u10466)), _u10469)) )).
% 29.00/29.25 cnf(matrix-5177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10467)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10468), _u10469)) | ( _u10466 = _u10468) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10466), _u10467) != _u10468) | ( _u10466 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem196(_u10469, _u10468, _u10467, _u10466)), skolem195(_u10469, _u10468, _u10467, _u10466))) )).
% 29.00/29.25 cnf(matrix-5178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10470, tc_HOL_Obool)), _u10471), _u10472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10470, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u10470, _u10471)), c_Predicate_OPowp(_u10470, _u10472))) )).
% 29.00/29.25 cnf(matrix-5179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10473), _u10479)) | ~hBOOL(hAPP(_u10481, _u10473)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem197(_u10481, _u10479)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10479))) )).
% 29.00/29.25 cnf(matrix-5180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10473), _u10479)) | ~hBOOL(hAPP(_u10481, _u10473)) | hBOOL(hAPP(_u10481, skolem197(_u10481, _u10479))) )).
% 29.00/29.25 cnf(matrix-5181, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10475), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10480))) | ~hBOOL(hAPP(_u10482, _u10475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem198(_u10482, _u10480)), _u10480)) )).
% 29.00/29.25 cnf(matrix-5182, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10475), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10480))) | ~hBOOL(hAPP(_u10482, _u10475)) | hBOOL(hAPP(_u10482, skolem198(_u10482, _u10480))) )).
% 29.00/29.25 cnf(matrix-5183, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10484), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10489))) | hBOOL(hAPP(_u10491, _u10484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem199(_u10491, _u10489)), _u10489)) )).
% 29.00/29.25 cnf(matrix-5184, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10484), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10489))) | hBOOL(hAPP(_u10491, _u10484)) | ~hBOOL(hAPP(_u10491, skolem199(_u10491, _u10489))) )).
% 29.00/29.25 cnf(matrix-5185, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10486), _u10490)) | hBOOL(hAPP(_u10492, _u10486)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem200(_u10492, _u10490)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10490))) )).
% 29.00/29.25 cnf(matrix-5186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10486), _u10490)) | hBOOL(hAPP(_u10492, _u10486)) | ~hBOOL(hAPP(_u10492, skolem200(_u10492, _u10490))) )).
% 29.00/29.25 cnf(matrix-5187, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10495)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), _u10495) = _u10496) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem201(_u10497, _u10496, _u10495)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10495))) )).
% 29.00/29.25 cnf(matrix-5188, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10495)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), _u10495) = _u10496) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem202(_u10497, _u10496, _u10495)), _u10497)) )).
% 29.00/29.25 cnf(matrix-5189, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10495)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10496), _u10495) = _u10496) | ( _u10496 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem202(_u10497, _u10496, _u10495)), skolem201(_u10497, _u10496, _u10495))) )).
% 29.00/29.25 cnf(matrix-5190, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10501)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10502), _u10503)) | ( _u10500 = _u10502) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10500), _u10501) != _u10502) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u10503, _u10502, _u10501, _u10500)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10501))) )).
% 29.00/29.25 cnf(matrix-5191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10501)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10502), _u10503)) | ( _u10500 = _u10502) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10500), _u10501) != _u10502) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem204(_u10503, _u10502, _u10501, _u10500)), _u10503)) )).
% 29.00/29.25 cnf(matrix-5192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10501)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10502), _u10503)) | ( _u10500 = _u10502) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10500), _u10501) != _u10502) | ( _u10500 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem204(_u10503, _u10502, _u10501, _u10500)), skolem203(_u10503, _u10502, _u10501, _u10500))) )).
% 29.00/29.25 cnf(matrix-5193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10507)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10508), _u10509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), _u10506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10506), _u10507))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem205(_u10509, _u10508, _u10507, _u10506)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10507))) )).
% 29.00/29.25 cnf(matrix-5194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10507)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10508), _u10509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), _u10506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10506), _u10507))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem206(_u10509, _u10508, _u10507, _u10506)), _u10509)) )).
% 29.00/29.25 cnf(matrix-5195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10507)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10508), _u10509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), _u10506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10508), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10506), _u10507))) | ( _u10506 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem206(_u10509, _u10508, _u10507, _u10506)), skolem205(_u10509, _u10508, _u10507, _u10506))) )).
% 29.00/29.25 cnf(matrix-5196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10513)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10514), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10512), _u10514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10512), _u10513)), _u10514)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem207(_u10515, _u10514, _u10513, _u10512)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10513))) )).
% 29.00/29.25 cnf(matrix-5197, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10513)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10514), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10512), _u10514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10512), _u10513)), _u10514)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem208(_u10515, _u10514, _u10513, _u10512)), _u10515)) )).
% 29.00/29.25 cnf(matrix-5198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10513)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10514), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10512), _u10514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10512), _u10513)), _u10514)) | ( _u10512 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem208(_u10515, _u10514, _u10513, _u10512)), skolem207(_u10515, _u10514, _u10513, _u10512))) )).
% 29.00/29.25 cnf(matrix-5199, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), _u10518) = _u10519) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem209(_u10520, _u10519, _u10518)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10518))) )).
% 29.00/29.25 cnf(matrix-5200, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), _u10518) = _u10519) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem210(_u10520, _u10519, _u10518)), _u10520)) )).
% 29.00/29.25 cnf(matrix-5201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10518)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10519), _u10518) = _u10519) | ( _u10519 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem210(_u10520, _u10519, _u10518)), skolem209(_u10520, _u10519, _u10518))) )).
% 29.00/29.25 cnf(matrix-5202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10523), _u10526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10523), _u10524)), _u10526)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u10526, _u10525, _u10524, _u10523)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10524))) )).
% 29.00/29.25 cnf(matrix-5203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10523), _u10526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10523), _u10524)), _u10526)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem212(_u10526, _u10525, _u10524, _u10523)), _u10525)) )).
% 29.00/29.25 cnf(matrix-5204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10523), _u10526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10523), _u10524)), _u10526)) | ( _u10523 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem212(_u10526, _u10525, _u10524, _u10523)), skolem211(_u10526, _u10525, _u10524, _u10523))) )).
% 29.00/29.25 cnf(matrix-5205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), _u10529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10529), _u10530))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem213(_u10532, _u10531, _u10530, _u10529)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10530))) )).
% 29.00/29.25 cnf(matrix-5206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), _u10529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10529), _u10530))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u10532, _u10531, _u10530, _u10529)), _u10531)) )).
% 29.00/29.25 cnf(matrix-5207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), _u10529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10529), _u10530))) | ( _u10529 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem214(_u10532, _u10531, _u10530, _u10529)), skolem213(_u10532, _u10531, _u10530, _u10529))) )).
% 29.00/29.25 cnf(matrix-5208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10540, _u10539)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 29.00/29.25 cnf(matrix-5209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10540, _u10539)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 29.00/29.25 cnf(matrix-5210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(_u10540, skolem219(_u10540, _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 29.00/29.25 cnf(matrix-5211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(_u10540, skolem219(_u10540, _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 29.00/29.25 cnf(matrix-5212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10540, _u10539)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 29.00/29.25 cnf(matrix-5213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem219(_u10540, _u10539)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 29.00/29.25 cnf(matrix-5214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(_u10540, skolem219(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 29.00/29.25 cnf(matrix-5215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(_u10540, _u10535)) | hBOOL(hAPP(_u10540, skolem219(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 29.00/29.25 cnf(matrix-5216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10537), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, _u10537)) | hBOOL(hAPP(_u10540, skolem220(_u10540, _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 29.00/29.25 cnf(matrix-5217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10537), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, _u10537)) | hBOOL(hAPP(_u10540, skolem220(_u10540, _u10539))) | hBOOL(hAPP(_u10540, skolem215(_u10540, _u10539))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 29.00/29.25 cnf(matrix-5218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10537), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, _u10537)) | hBOOL(hAPP(_u10540, skolem220(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | ~hBOOL(hAPP(_u10540, skolem217(_u10540, _u10539))) )).
% 29.00/29.25 cnf(matrix-5219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10539)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10537), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10539))) | ~hBOOL(hAPP(_u10540, _u10537)) | hBOOL(hAPP(_u10540, skolem220(_u10540, _u10539))) | ~hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem215(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem216(_u10540, _u10539)), _u10539)))) | hBOOL(hAPP(_u10540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem217(_u10540, _u10539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem218(_u10540, _u10539)), _u10539)))) )).
% 29.00/29.25 cnf(matrix-5220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10547), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10547), _u10548)), _u10550)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem221(_u10550, _u10549, _u10548, _u10547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10548))) )).
% 29.00/29.25 cnf(matrix-5221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10547), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10547), _u10548)), _u10550)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem222(_u10550, _u10549, _u10548, _u10547)), _u10549)) )).
% 29.00/29.25 cnf(matrix-5222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10547), _u10550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10547), _u10548)), _u10550)) | ( _u10547 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem222(_u10550, _u10549, _u10548, _u10547)), skolem221(_u10550, _u10549, _u10548, _u10547))) )).
% 29.00/29.25 cnf(matrix-5223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), _u10553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10553), _u10554))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem223(_u10556, _u10555, _u10554, _u10553)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u10554))) )).
% 29.00/29.25 cnf(matrix-5224, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), _u10553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10553), _u10554))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem224(_u10556, _u10555, _u10554, _u10553)), _u10555)) )).
% 29.00/29.25 cnf(matrix-5225, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), _u10553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10553), _u10554))) | ( _u10553 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem224(_u10556, _u10555, _u10554, _u10553)), skolem223(_u10556, _u10555, _u10554, _u10553))) )).
% 29.00/29.25 cnf(matrix-5226, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10560), _u10562)) | ( 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)), _u10560)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10564), _u10562)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10564), _u10560)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10562), _u10560))) )).
% 29.00/29.25 cnf(matrix-5227, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10561), _u10563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10565), _u10563)) | ( 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)), _u10561)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10565), _u10563)) = 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)))) )).
% 29.00/29.25 cnf(matrix-5228, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10561), _u10563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10565), _u10563)) | ( 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)), _u10561)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10565), _u10563)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5229, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10566) = 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), _u10566)))) )).
% 29.00/29.25 cnf(matrix-5230, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10567), _u10568)) | ~c_Fun_Oinj__on(_u10567, tc_fun(tc_fun(_u10567, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10567, tc_fun(tc_prod(_u10567, _u10567), tc_HOL_Obool), tc_fun(tc_fun(_u10567, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10567, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10567, _u10567), tc_HOL_Obool), tc_fun(tc_fun(_u10567, tc_HOL_Obool), tc_HOL_Obool)), _u10567), c_Equiv__Relations_Oquotient(_u10567)), hAPP(hAPP(c_COMBC(_u10567, tc_fun(_u10567, tc_HOL_Obool), tc_fun(_u10567, tc_HOL_Obool)), c_Set_Oinsert(_u10567)), c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool))))), _u10569), _u10568) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u10567, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10567), _u10568), _u10569)) = hAPP(c_Finite__Set_Ocard(_u10567), _u10568)) )).
% 29.00/29.25 cnf(matrix-5231, plain, ( c_Fun_Oinj__on(_u10570, _u10571, _u10572, c_Orderings_Obot__class_Obot(tc_fun(_u10570, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5232, plain, ( ~class_Groups_Oordered__ab__group__add(_u10573) | c_Fun_Oinj__on(_u10573, _u10573, c_Groups_Ouminus__class_Ouminus(_u10573), _u10574) )).
% 29.00/29.25 cnf(matrix-5233, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10575), _u10576))) )).
% 29.00/29.25 cnf(matrix-5234, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10577))) )).
% 29.00/29.25 cnf(matrix-5235, plain, ( ~c_Fun_Oinj__on(_u10578, _u10579, _u10580, _u10581) | ~c_Fun_Oinj__on(_u10578, _u10579, _u10580, _u10582) | c_Fun_Oinj__on(_u10578, _u10579, _u10580, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10578, tc_HOL_Obool)), _u10581), _u10582)) )).
% 29.00/29.25 cnf(matrix-5236, plain, ( ~c_Fun_Oinj__on(_u10583, _u10584, _u10585, _u10586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10583, tc_HOL_Obool)), _u10587), _u10586)) | c_Fun_Oinj__on(_u10583, _u10584, _u10585, _u10587) )).
% 29.00/29.25 cnf(matrix-5237, plain, ( ~c_Fun_Oinj__on(_u10588, _u10589, hAPP(c_Fun_Ocomp(_u10590, _u10589, _u10588, _u10591), _u10592), _u10593) | c_Fun_Oinj__on(_u10588, _u10590, _u10592, _u10593) )).
% 29.00/29.25 cnf(matrix-5238, plain, ( ~c_Fun_Oinj__on(_u10594, _u10595, _u10596, _u10597) | ( hAPP(_u10596, _u10598) != hAPP(_u10596, _u10599)) | ~hBOOL(hAPP(hAPP(c_member(_u10594), _u10598), _u10597)) | ~hBOOL(hAPP(hAPP(c_member(_u10594), _u10599), _u10597)) | ( _u10598 = _u10599) )).
% 29.00/29.25 cnf(matrix-5239, plain, ( ~c_Fun_Oinj__on(_u10600, _u10601, _u10602, _u10603) | ~hBOOL(hAPP(hAPP(c_member(_u10600), _u10604), _u10603)) | ~hBOOL(hAPP(hAPP(c_member(_u10600), _u10605), _u10603)) | ( hAPP(_u10602, _u10604) != hAPP(_u10602, _u10605)) | ( _u10604 = _u10605) )).
% 29.00/29.25 cnf(matrix-5240, plain, ( ~c_Fun_Oinj__on(_u10600, _u10601, _u10602, _u10603) | ~hBOOL(hAPP(hAPP(c_member(_u10600), _u10604), _u10603)) | ~hBOOL(hAPP(hAPP(c_member(_u10600), _u10605), _u10603)) | ( _u10604 != _u10605) | ( hAPP(_u10602, _u10604) = hAPP(_u10602, _u10605)) )).
% 29.00/29.25 cnf(matrix-5241, plain, ( ~c_Fun_Oinj__on(_u10606, _u10607, _u10608, _u10609) | ( _u10610 = _u10611) | ~hBOOL(hAPP(hAPP(c_member(_u10606), _u10610), _u10609)) | ~hBOOL(hAPP(hAPP(c_member(_u10606), _u10611), _u10609)) | ( hAPP(_u10608, _u10610) != hAPP(_u10608, _u10611)) )).
% 29.00/29.25 cnf(matrix-5242, plain, ( c_Fun_Oinj__on(_u10612, _u10612, c_COMBI(_u10612), _u10613) )).
% 29.00/29.25 cnf(matrix-5243, plain, ( ~c_Fun_Oinj__on(_u10622, _u10624, _u10626, _u10628) | ~hBOOL(hAPP(hAPP(c_member(_u10622), _u10615), _u10628)) | ~hBOOL(hAPP(hAPP(c_member(_u10622), _u10614), _u10628)) | ( hAPP(_u10626, _u10615) != hAPP(_u10626, _u10614)) | ( _u10615 = _u10614) )).
% 29.00/29.25 cnf(matrix-5244, plain, ( c_Fun_Oinj__on(_u10623, _u10625, _u10627, _u10629) | hBOOL(hAPP(hAPP(c_member(_u10623), skolem225(_u10629, _u10627, _u10625, _u10623)), _u10629)) )).
% 29.00/29.25 cnf(matrix-5245, plain, ( c_Fun_Oinj__on(_u10623, _u10625, _u10627, _u10629) | hBOOL(hAPP(hAPP(c_member(_u10623), skolem226(_u10629, _u10627, _u10625, _u10623)), _u10629)) )).
% 29.00/29.25 cnf(matrix-5246, plain, ( c_Fun_Oinj__on(_u10623, _u10625, _u10627, _u10629) | ( hAPP(_u10627, skolem225(_u10629, _u10627, _u10625, _u10623)) = hAPP(_u10627, skolem226(_u10629, _u10627, _u10625, _u10623))) )).
% 29.00/29.25 cnf(matrix-5247, plain, ( c_Fun_Oinj__on(_u10623, _u10625, _u10627, _u10629) | ( skolem225(_u10629, _u10627, _u10625, _u10623) != skolem226(_u10629, _u10627, _u10625, _u10623)) )).
% 29.00/29.25 cnf(matrix-5248, plain, ( ~c_Fun_Oinj__on(_u10630, _u10631, _u10632, _u10633) | c_Fun_Oinj__on(_u10630, _u10631, _u10632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10630, tc_HOL_Obool)), _u10633), _u10634)) )).
% 29.00/29.25 cnf(matrix-5249, plain, ( ~class_Orderings_Olinorder(_u10635) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10635), _u10636) != hAPP(c_SetInterval_Oord__class_OatMost(_u10635), _u10637)) | ( _u10636 = _u10637) )).
% 29.00/29.25 cnf(matrix-5250, plain, ( ~class_Orderings_Olinorder(_u10635) | ( _u10636 != _u10637) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10635), _u10636) = hAPP(c_SetInterval_Oord__class_OatMost(_u10635), _u10637)) )).
% 29.00/29.25 cnf(matrix-5251, plain, ( ~class_Orderings_Olinorder(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), _u10640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10641), _u10642)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10639), _u10640) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10641), _u10642)) | ( _u10639 = _u10641) )).
% 29.00/29.25 cnf(matrix-5252, plain, ( ~class_Orderings_Olinorder(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), _u10640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10641), _u10642)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10639), _u10640) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10641), _u10642)) | ( _u10640 = _u10642) )).
% 29.00/29.25 cnf(matrix-5253, plain, ( ~class_Orderings_Olinorder(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), _u10640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10641), _u10642)) | ( _u10639 != _u10641) | ( _u10640 != _u10642) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10639), _u10640) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10638, _u10641), _u10642)) )).
% 29.00/29.25 cnf(matrix-5254, plain, ( ~class_Orderings_Olinorder(_u10643) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10643, _u10644), _u10645) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10643, _u10646), _u10647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10644), _u10645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10643), _u10646), _u10647)) | ( _u10644 = _u10646) )).
% 29.00/29.25 cnf(matrix-5255, plain, ( ~class_Orderings_Olinorder(_u10648) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10648, _u10649), _u10650) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10648, _u10651), _u10652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10648), _u10649), _u10650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10648), _u10651), _u10652)) | ( _u10650 = _u10652) )).
% 29.00/29.25 cnf(matrix-5256, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10653), hAPP(c_Set_Oimage(_u10654, _u10653, _u10655), _u10656))) | ~c_Fun_Oinj__on(_u10654, _u10653, _u10655, _u10656) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10654), _u10656)) )).
% 29.00/29.25 cnf(matrix-5257, plain, ( ~c_Fun_Oinj__on(_u10657, _u10658, _u10659, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10657, tc_HOL_Obool)), _u10660), _u10661)) | ( hAPP(c_Set_Oimage(_u10657, _u10658, _u10659), _u10660) != hAPP(c_Set_Oimage(_u10657, _u10658, _u10659), _u10661)) | ( _u10660 = _u10661) )).
% 29.00/29.25 cnf(matrix-5258, plain, ( ~c_Fun_Oinj__on(_u10657, _u10658, _u10659, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10657, tc_HOL_Obool)), _u10660), _u10661)) | ( _u10660 != _u10661) | ( hAPP(c_Set_Oimage(_u10657, _u10658, _u10659), _u10660) = hAPP(c_Set_Oimage(_u10657, _u10658, _u10659), _u10661)) )).
% 29.00/29.25 cnf(matrix-5259, plain, ( ~c_Fun_Oinj__on(_u10662, _u10663, _u10664, _u10665) | ~c_Fun_Oinj__on(_u10663, _u10666, _u10667, hAPP(c_Set_Oimage(_u10662, _u10663, _u10664), _u10665)) | c_Fun_Oinj__on(_u10662, _u10666, hAPP(c_Fun_Ocomp(_u10663, _u10666, _u10662, _u10667), _u10664), _u10665) )).
% 29.00/29.25 cnf(matrix-5260, plain, ( ~c_Fun_Oinj__on(_u10662, _u10663, _u10664, _u10665) | ~c_Fun_Oinj__on(_u10662, _u10666, hAPP(c_Fun_Ocomp(_u10663, _u10666, _u10662, _u10667), _u10664), _u10665) | c_Fun_Oinj__on(_u10663, _u10666, _u10667, hAPP(c_Set_Oimage(_u10662, _u10663, _u10664), _u10665)) )).
% 29.00/29.25 cnf(matrix-5261, plain, ( ~c_Fun_Oinj__on(_u10668, _u10669, _u10670, _u10671) | ~c_Fun_Oinj__on(_u10669, _u10672, _u10673, hAPP(c_Set_Oimage(_u10668, _u10669, _u10670), _u10671)) | c_Fun_Oinj__on(_u10668, _u10672, hAPP(c_Fun_Ocomp(_u10669, _u10672, _u10668, _u10673), _u10670), _u10671) )).
% 29.00/29.25 cnf(matrix-5262, plain, ( ~c_Fun_Oinj__on(_u10674, _u10675, hAPP(c_Fun_Ocomp(_u10676, _u10675, _u10674, _u10677), _u10678), _u10679) | c_Fun_Oinj__on(_u10676, _u10675, _u10677, hAPP(c_Set_Oimage(_u10674, _u10676, _u10678), _u10679)) )).
% 29.00/29.25 cnf(matrix-5263, plain, ( ~c_Fun_Oinj__on(_u10680, _u10681, _u10682, _u10683) | ( hAPP(c_Finite__Set_Ocard(_u10681), hAPP(c_Set_Oimage(_u10680, _u10681, _u10682), _u10683)) = hAPP(c_Finite__Set_Ocard(_u10680), _u10683)) )).
% 29.00/29.25 cnf(matrix-5264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10684), _u10690)) | ~hBOOL(hAPP(_u10692, _u10684)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem227(_u10692, _u10690)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10690))) )).
% 29.00/29.25 cnf(matrix-5265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10684), _u10690)) | ~hBOOL(hAPP(_u10692, _u10684)) | hBOOL(hAPP(_u10692, skolem227(_u10692, _u10690))) )).
% 29.00/29.25 cnf(matrix-5266, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10686), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10691))) | ~hBOOL(hAPP(_u10693, _u10686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem228(_u10693, _u10691)), _u10691)) )).
% 29.00/29.25 cnf(matrix-5267, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10686), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10691))) | ~hBOOL(hAPP(_u10693, _u10686)) | hBOOL(hAPP(_u10693, skolem228(_u10693, _u10691))) )).
% 29.00/29.25 cnf(matrix-5268, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10695), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10700))) | hBOOL(hAPP(_u10702, _u10695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem229(_u10702, _u10700)), _u10700)) )).
% 29.00/29.25 cnf(matrix-5269, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10695), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10700))) | hBOOL(hAPP(_u10702, _u10695)) | ~hBOOL(hAPP(_u10702, skolem229(_u10702, _u10700))) )).
% 29.00/29.25 cnf(matrix-5270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10697), _u10701)) | hBOOL(hAPP(_u10703, _u10697)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem230(_u10703, _u10701)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10701))) )).
% 29.00/29.25 cnf(matrix-5271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10697), _u10701)) | hBOOL(hAPP(_u10703, _u10697)) | ~hBOOL(hAPP(_u10703, skolem230(_u10703, _u10701))) )).
% 29.00/29.25 cnf(matrix-5272, plain, ( ~c_Fun_Oinj__on(_u10704, _u10705, _u10706, _u10707) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10704, tc_HOL_Obool)), _u10708), _u10707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u10705, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10704, _u10705, _u10706), _u10708)), hAPP(c_Set_Oimage(_u10704, _u10705, _u10706), _u10707))) )).
% 29.00/29.25 cnf(matrix-5273, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10709), hAPP(c_Nat_OSuc, _u10710)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10709, _u10710)) )).
% 29.00/29.25 cnf(matrix-5274, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10711), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5275, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10712), _u10713)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10713), _u10712)) )).
% 29.00/29.25 cnf(matrix-5276, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10714), _u10715)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10714)), hAPP(c_Nat_OSuc, _u10715))) )).
% 29.00/29.25 cnf(matrix-5277, plain, ( ~class_Orderings_Oorder(_u10716) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10716), _u10717), _u10718)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10716, _u10718), _u10717) = c_Orderings_Obot__class_Obot(tc_fun(_u10716, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5278, plain, ( ~class_Orderings_Oorder(_u10719) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10719, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10719, _u10720), _u10721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10719), _u10720), _u10721)) )).
% 29.00/29.25 cnf(matrix-5279, plain, ( ~class_Orderings_Oorder(_u10719) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10719), _u10720), _u10721)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10719, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10719, _u10720), _u10721)) )).
% 29.00/29.25 cnf(matrix-5280, plain, ( ~class_Orderings_Oorder(_u10722) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10722, _u10723), _u10724) != c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10722), _u10723), _u10724)) )).
% 29.00/29.25 cnf(matrix-5281, plain, ( ~class_Orderings_Oorder(_u10722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10722), _u10723), _u10724)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10722, _u10723), _u10724) = c_Orderings_Obot__class_Obot(tc_fun(_u10722, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5282, plain, ( ~class_Orderings_Olinorder(_u10725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10725, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10725, _u10726), _u10727)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10725, _u10728), _u10729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10725), _u10727), _u10726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10725), _u10728), _u10726)) )).
% 29.00/29.25 cnf(matrix-5283, plain, ( ~class_Orderings_Olinorder(_u10725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10725, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10725, _u10726), _u10727)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10725, _u10728), _u10729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10725), _u10727), _u10726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10725), _u10727), _u10729)) )).
% 29.00/29.25 cnf(matrix-5284, plain, ( ~class_Orderings_Olinorder(_u10730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10730), _u10731), _u10732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10730), _u10732), _u10733)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10730, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10730, _u10731), _u10732)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10730, _u10732), _u10733)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10730, _u10731), _u10733)) )).
% 29.00/29.25 cnf(matrix-5285, plain, ( ~class_Orderings_Olinorder(_u10734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10734), _u10735), _u10736)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10734, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10734, _u10735), _u10737)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10734, _u10735), _u10736)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10734, _u10736), _u10737)) )).
% 29.00/29.25 cnf(matrix-5286, plain, ( ~class_Orderings_Oorder(_u10738) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10738, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10738, _u10739), _u10740)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10738, _u10740), _u10741)) = c_Orderings_Obot__class_Obot(tc_fun(_u10738, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5287, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10742)), _u10743) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10742, _u10743)) )).
% 29.00/29.25 cnf(matrix-5288, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10744), _u10745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10744, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10744, _u10744, _u10746), _u10745)), _u10745)) | ~c_Fun_Oinj__on(_u10744, _u10744, _u10746, _u10745) | ( hAPP(c_Set_Oimage(_u10744, _u10744, _u10746), _u10745) = _u10745) )).
% 29.00/29.25 cnf(matrix-5289, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10747), _u10748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10747, tc_HOL_Obool)), _u10748), hAPP(c_Set_Oimage(_u10747, _u10747, _u10749), _u10748))) | c_Fun_Oinj__on(_u10747, _u10747, _u10749, _u10748) )).
% 29.00/29.25 cnf(matrix-5290, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10750) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10750)) )).
% 29.00/29.25 cnf(matrix-5291, 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)), _u10751)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10752), _u10753)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10752), _u10751)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10753), _u10751))) )).
% 29.00/29.25 cnf(matrix-5292, plain, ( ~c_Fun_Oinj__on(_u10754, _u10755, _u10756, _u10757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10754, tc_HOL_Obool)), _u10758), _u10757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10754, tc_HOL_Obool)), _u10759), _u10757)) | ( hAPP(c_Set_Oimage(_u10754, _u10755, _u10756), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10754, tc_HOL_Obool)), _u10758), _u10759)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10755, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10754, _u10755, _u10756), _u10758)), hAPP(c_Set_Oimage(_u10754, _u10755, _u10756), _u10759))) )).
% 29.00/29.25 cnf(matrix-5293, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10760), _u10761)) | ~c_Fun_Oinj__on(_u10760, _u10762, _u10763, _u10761) | ( hAPP(c_Finite__Set_Ocard(_u10762), hAPP(c_Set_Oimage(_u10760, _u10762, _u10763), _u10761)) = hAPP(c_Finite__Set_Ocard(_u10760), _u10761)) )).
% 29.00/29.25 cnf(matrix-5294, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10760), _u10761)) | ( hAPP(c_Finite__Set_Ocard(_u10762), hAPP(c_Set_Oimage(_u10760, _u10762, _u10763), _u10761)) != hAPP(c_Finite__Set_Ocard(_u10760), _u10761)) | c_Fun_Oinj__on(_u10760, _u10762, _u10763, _u10761) )).
% 29.00/29.25 cnf(matrix-5295, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10764), _u10765)) | ( hAPP(c_Finite__Set_Ocard(_u10766), hAPP(c_Set_Oimage(_u10764, _u10766, _u10767), _u10765)) != hAPP(c_Finite__Set_Ocard(_u10764), _u10765)) | c_Fun_Oinj__on(_u10764, _u10766, _u10767, _u10765) )).
% 29.00/29.25 cnf(matrix-5296, plain, ( ~c_Fun_Oinj__on(_u10768, _u10769, _u10770, _u10771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10768, tc_HOL_Obool)), _u10772), _u10771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10768, tc_HOL_Obool)), _u10773), _u10771)) | ( hAPP(c_Set_Oimage(_u10768, _u10769, _u10770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10768, tc_HOL_Obool)), _u10772), _u10773)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10769, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10768, _u10769, _u10770), _u10772)), hAPP(c_Set_Oimage(_u10768, _u10769, _u10770), _u10773))) )).
% 29.00/29.25 cnf(matrix-5297, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10774), hAPP(c_Set_Oimage(_u10775, _u10774, _u10776), _u10777))), hAPP(c_Finite__Set_Ocard(_u10775), _u10777))) | ~c_Fun_Oinj__on(_u10775, _u10774, _u10776, _u10777) )).
% 29.00/29.25 cnf(matrix-5298, plain, ( ~c_Fun_Oinj__on(_u10778, _u10779, _u10780, _u10781) | hBOOL(hAPP(hAPP(c_member(_u10779), _u10782), hAPP(c_Set_Oimage(_u10778, _u10779, _u10780), _u10781))) | c_Fun_Oinj__on(_u10778, _u10779, c_Fun_Ofun__upd(_u10778, _u10779, _u10780, _u10783, _u10782), _u10781) )).
% 29.00/29.25 cnf(matrix-5299, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10784) | ~c_Fun_Oinj__on(_u10785, _u10786, _u10787, _u10788) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10786, _u10784), _u10789), hAPP(c_Set_Oimage(_u10785, _u10786, _u10787), _u10788)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10785, _u10784), hAPP(c_Fun_Ocomp(_u10786, _u10784, _u10785, _u10789), _u10787)), _u10788)) )).
% 29.00/29.25 cnf(matrix-5300, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10790) | ~c_Fun_Oinj__on(_u10791, _u10792, _u10793, _u10794) | ( _u10795 != hAPP(c_Set_Oimage(_u10791, _u10792, _u10793), _u10794)) | ( _u10796 != hAPP(c_Fun_Ocomp(_u10792, _u10790, _u10791, _u10797), _u10793)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10792, _u10790), _u10797), _u10795) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10791, _u10790), _u10796), _u10794)) )).
% 29.00/29.25 cnf(matrix-5301, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10798)) = hAPP(c_Nat_OSuc, _u10798)) )).
% 29.00/29.25 cnf(matrix-5302, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10799)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10799)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10799))) )).
% 29.00/29.25 cnf(matrix-5303, plain, ( ~class_Orderings_Oord(_u10800) | ~hBOOL(hAPP(hAPP(c_member(_u10800), _u10801), hAPP(c_SetInterval_Oord__class_OatMost(_u10800), _u10802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10800), _u10801), _u10802)) )).
% 29.00/29.25 cnf(matrix-5304, plain, ( ~class_Orderings_Oord(_u10800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10800), _u10801), _u10802)) | hBOOL(hAPP(hAPP(c_member(_u10800), _u10801), hAPP(c_SetInterval_Oord__class_OatMost(_u10800), _u10802))) )).
% 29.00/29.25 cnf(matrix-5305, plain, ( ~class_Orderings_Oorder(_u10803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10803, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10803), _u10804)), hAPP(c_SetInterval_Oord__class_OatMost(_u10803), _u10805))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10803), _u10804), _u10805)) )).
% 29.00/29.25 cnf(matrix-5306, plain, ( ~class_Orderings_Oorder(_u10803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10803), _u10804), _u10805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10803, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10803), _u10804)), hAPP(c_SetInterval_Oord__class_OatMost(_u10803), _u10805))) )).
% 29.00/29.25 cnf(matrix-5307, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10806, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10807)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10806, tc_HOL_Obool), tc_Nat_Onat), _u10808), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10809))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10806, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10809, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10807), _u10809))), _u10808)) )).
% 29.00/29.25 cnf(matrix-5308, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10810), hAPP(c_Nat_OSuc, _u10810)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10810), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5309, plain, ( ~c_Fun_Oinj__on(_u10811, _u10812, _u10813, _u10814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10812, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10811, _u10812, _u10813), _u10814)), _u10815)) | ~c_Fun_Oinj__on(_u10812, _u10811, _u10816, _u10815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10811, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10812, _u10811, _u10816), _u10815)), _u10814)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10811), _u10814)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10812), _u10815)) | ( hAPP(c_Finite__Set_Ocard(_u10811), _u10814) = hAPP(c_Finite__Set_Ocard(_u10812), _u10815)) )).
% 29.00/29.25 cnf(matrix-5310, plain, ( ~class_Orderings_Olinorder(_u10817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10817), _u10818), _u10819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10817), _u10819), _u10820)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10817, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10817, _u10818), _u10819)), c_SetInterval_Oord__class_OatLeastAtMost(_u10817, _u10819, _u10820)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10817, _u10818, _u10820)) )).
% 29.00/29.25 cnf(matrix-5311, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10821) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10822), _u10823)) | ~c_Fun_Oinj__on(_u10822, _u10822, _u10824, _u10823) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10822, _u10821), _u10825), hAPP(c_Set_Oimage(_u10822, _u10822, _u10824), _u10823)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10822, _u10821), hAPP(c_Fun_Ocomp(_u10822, _u10821, _u10822, _u10825), _u10824)), _u10823)) )).
% 29.00/29.25 cnf(matrix-5312, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10826), _u10827)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10826), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10827), _u10828)) = 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, _u10826), _u10827)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10827), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10827), _u10828)))) )).
% 29.00/29.25 cnf(matrix-5313, plain, ( ~class_Orderings_Oorder(_u10829) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10829, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10829, _u10830), _u10831)), c_SetInterval_Oord__class_OatLeastAtMost(_u10829, _u10831, _u10832)) = c_Orderings_Obot__class_Obot(tc_fun(_u10829, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5314, plain, ( ~class_Orderings_Olinorder(_u10833) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10833, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10833, _u10834), _u10835)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10833, _u10836), _u10837)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10833, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10833), _u10834), _u10836)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10833), _u10835), _u10837))) )).
% 29.00/29.25 cnf(matrix-5315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10838), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10839), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10839), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10838))))) | ( _u10838 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10839), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10839), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10838)))) )).
% 29.00/29.25 cnf(matrix-5316, plain, ( ~class_Orderings_Oorder(_u10840) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10840, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10840, _u10841, _u10842)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10840, _u10842), _u10843)) = c_Orderings_Obot__class_Obot(tc_fun(_u10840, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5317, plain, ( ~class_Groups_Oordered__ab__group__add(_u10844) | ( hAPP(c_Set_Oimage(_u10844, _u10844, c_Groups_Ouminus__class_Ouminus(_u10844)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10844, _u10845), _u10846)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10844, hAPP(c_Groups_Ouminus__class_Ouminus(_u10844), _u10846), hAPP(c_Groups_Ouminus__class_Ouminus(_u10844), _u10845))) )).
% 29.00/29.25 cnf(matrix-5318, plain, ( ~class_Groups_Oordered__ab__group__add(_u10847) | ( hAPP(c_Set_Oimage(_u10847, _u10847, c_Groups_Ouminus__class_Ouminus(_u10847)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10847, _u10848, _u10849)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10847, hAPP(c_Groups_Ouminus__class_Ouminus(_u10847), _u10849)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10847), _u10848))) )).
% 29.00/29.25 cnf(matrix-5319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10852), _u10854)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10852), hAPP(c_Nat_OSuc, _u10854)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10854), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10852), _u10854))) )).
% 29.00/29.25 cnf(matrix-5320, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10853), _u10855)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10853), hAPP(c_Nat_OSuc, _u10855)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5321, 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)))) )).
% 29.00/29.25 cnf(matrix-5322, plain, ( ~c_Fun_Oinj__on(_u10861, _u10863, _u10865, hAPP(hAPP(c_Set_Oinsert(_u10861), _u10867), _u10869)) | c_Fun_Oinj__on(_u10861, _u10863, _u10865, _u10869) )).
% 29.00/29.25 cnf(matrix-5323, plain, ( ~c_Fun_Oinj__on(_u10861, _u10863, _u10865, hAPP(hAPP(c_Set_Oinsert(_u10861), _u10867), _u10869)) | ~hBOOL(hAPP(hAPP(c_member(_u10863), hAPP(_u10865, _u10867)), hAPP(c_Set_Oimage(_u10861, _u10863, _u10865), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10861, tc_HOL_Obool)), _u10869), hAPP(hAPP(c_Set_Oinsert(_u10861), _u10867), c_Orderings_Obot__class_Obot(tc_fun(_u10861, tc_HOL_Obool))))))) )).
% 29.00/29.25 cnf(matrix-5324, plain, ( ~c_Fun_Oinj__on(_u10862, _u10864, _u10866, _u10870) | hBOOL(hAPP(hAPP(c_member(_u10864), hAPP(_u10866, _u10868)), hAPP(c_Set_Oimage(_u10862, _u10864, _u10866), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10862, tc_HOL_Obool)), _u10870), hAPP(hAPP(c_Set_Oinsert(_u10862), _u10868), c_Orderings_Obot__class_Obot(tc_fun(_u10862, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u10862, _u10864, _u10866, hAPP(hAPP(c_Set_Oinsert(_u10862), _u10868), _u10870)) )).
% 29.00/29.25 cnf(matrix-5325, plain, ( ~c_Fun_Oinj__on(_u10876, _u10878, _u10880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10876, tc_HOL_Obool)), _u10882), _u10884)) | c_Fun_Oinj__on(_u10876, _u10878, _u10880, _u10882) )).
% 29.00/29.25 cnf(matrix-5326, plain, ( ~c_Fun_Oinj__on(_u10876, _u10878, _u10880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10876, tc_HOL_Obool)), _u10882), _u10884)) | c_Fun_Oinj__on(_u10876, _u10878, _u10880, _u10884) )).
% 29.00/29.25 cnf(matrix-5327, plain, ( ~c_Fun_Oinj__on(_u10876, _u10878, _u10880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10876, tc_HOL_Obool)), _u10882), _u10884)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10878, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10876, _u10878, _u10880), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10876, tc_HOL_Obool)), _u10882), _u10884))), hAPP(c_Set_Oimage(_u10876, _u10878, _u10880), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10876, tc_HOL_Obool)), _u10884), _u10882))) = c_Orderings_Obot__class_Obot(tc_fun(_u10878, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5328, plain, ( ~c_Fun_Oinj__on(_u10877, _u10879, _u10881, _u10883) | ~c_Fun_Oinj__on(_u10877, _u10879, _u10881, _u10885) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10879, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10877, _u10879, _u10881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10877, tc_HOL_Obool)), _u10883), _u10885))), hAPP(c_Set_Oimage(_u10877, _u10879, _u10881), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10877, tc_HOL_Obool)), _u10885), _u10883))) != c_Orderings_Obot__class_Obot(tc_fun(_u10879, tc_HOL_Obool))) | c_Fun_Oinj__on(_u10877, _u10879, _u10881, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10877, tc_HOL_Obool)), _u10883), _u10885)) )).
% 29.00/29.25 cnf(matrix-5329, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10888), _u10889)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10890), _u10891)) | ~c_Fun_Oinj__on(_u10888, _u10890, _u10886, _u10889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10890, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10888, _u10890, _u10886), _u10889)), _u10891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10888), _u10889)), hAPP(c_Finite__Set_Ocard(_u10890), _u10891))) )).
% 29.00/29.25 cnf(matrix-5330, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10888), _u10889)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10890), _u10891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10888), _u10889)), hAPP(c_Finite__Set_Ocard(_u10890), _u10891))) | c_Fun_Oinj__on(_u10888, _u10890, skolem231(_u10891, _u10890, _u10889, _u10888), _u10889) )).
% 29.00/29.25 cnf(matrix-5331, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10888), _u10889)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10890), _u10891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10888), _u10889)), hAPP(c_Finite__Set_Ocard(_u10890), _u10891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10890, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10888, _u10890, skolem231(_u10891, _u10890, _u10889, _u10888)), _u10889)), _u10891)) )).
% 29.00/29.25 cnf(matrix-5332, plain, ( ~c_Fun_Oinj__on(_u10892, _u10893, _u10894, _u10895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10893, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10892, _u10893, _u10894), _u10895)), _u10896)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10893), _u10896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10892), _u10895)), hAPP(c_Finite__Set_Ocard(_u10893), _u10896))) )).
% 29.00/29.25 cnf(matrix-5333, plain, ( ~class_Orderings_Olinorder(_u10897) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10897, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10897, _u10898, _u10899)), hAPP(c_SetInterval_Oord__class_OatMost(_u10897), _u10900)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10897, _u10898, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10897), _u10899), _u10900))) )).
% 29.00/29.25 cnf(matrix-5334, plain, ( ~class_Orderings_Olinorder(_u10901) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10901, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10901), _u10902)), c_SetInterval_Oord__class_OatLeastAtMost(_u10901, _u10903, _u10904)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10901, _u10903, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10901), _u10902), _u10904))) )).
% 29.00/29.25 cnf(matrix-5335, plain, ( ~class_Groups_Oab__semigroup__mult(_u10905) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10906), _u10907)) | ~c_Fun_Oinj__on(_u10906, _u10908, _u10909, _u10907) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10905, _u10908, c_Groups_Otimes__class_Otimes(_u10905)), _u10910), _u10911), hAPP(c_Set_Oimage(_u10906, _u10908, _u10909), _u10907)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10905, _u10906, c_Groups_Otimes__class_Otimes(_u10905)), hAPP(c_Fun_Ocomp(_u10908, _u10905, _u10906, _u10910), _u10909)), _u10911), _u10907)) )).
% 29.00/29.25 cnf(matrix-5336, plain, ( ~class_Orderings_Olinorder(_u10912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10912), _u10913), _u10914)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10912, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10912), _u10913)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10912, _u10913, _u10914)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10912), _u10914)) )).
% 29.00/29.25 cnf(matrix-5337, plain, ( ~class_Orderings_Oorder(_u10915) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10915, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10915), _u10916)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10915, _u10916, _u10917)) = c_Orderings_Obot__class_Obot(tc_fun(_u10915, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5338, plain, ( ~class_Orderings_Oorder(_u10918) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10918, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10918), _u10919)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10918, _u10919, _u10920)) = c_Orderings_Obot__class_Obot(tc_fun(_u10918, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5339, plain, ( ~class_Orderings_Olinorder(_u10921) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10921), _u10922), _u10923)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10921), _u10923), _u10924)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10921, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10921, _u10922, _u10923)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10921, _u10923), _u10924)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10921, _u10922, _u10924)) )).
% 29.00/29.25 cnf(matrix-5340, plain, ( ~c_Fun_Oinj__on(_u10925, tc_fun(tc_fun(_u10925, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10925, tc_fun(tc_prod(_u10925, _u10925), tc_HOL_Obool), tc_fun(tc_fun(_u10925, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10925, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10925, _u10925), tc_HOL_Obool), tc_fun(tc_fun(_u10925, tc_HOL_Obool), tc_HOL_Obool)), _u10925), c_Equiv__Relations_Oquotient(_u10925)), hAPP(hAPP(c_COMBC(_u10925, tc_fun(_u10925, tc_HOL_Obool), tc_fun(_u10925, tc_HOL_Obool)), c_Set_Oinsert(_u10925)), c_Orderings_Obot__class_Obot(tc_fun(_u10925, tc_HOL_Obool))))), _u10926), _u10927) | ~hBOOL(hAPP(hAPP(c_member(_u10925), _u10928), _u10927)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10925), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10925, tc_HOL_Obool)), _u10927), hAPP(hAPP(c_Set_Oinsert(_u10925), _u10928), c_Orderings_Obot__class_Obot(tc_fun(_u10925, tc_HOL_Obool))))), _u10926) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u10925, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10925), _u10927), _u10926)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10925), hAPP(hAPP(c_Set_Oinsert(_u10925), _u10928), c_Orderings_Obot__class_Obot(tc_fun(_u10925, tc_HOL_Obool)))), _u10926))) )).
% 29.00/29.25 cnf(matrix-5341, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10929, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10930)), _u10931) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10929, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10929, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10930)), _u10931)), hAPP(_u10931, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.25 cnf(matrix-5342, plain, ( ~class_Orderings_Olinorder(_u10932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10932), _u10933), _u10934)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10932, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10932, _u10933), _u10934)), hAPP(hAPP(c_Set_Oinsert(_u10932), _u10934), c_Orderings_Obot__class_Obot(tc_fun(_u10932, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u10932, _u10933, _u10934)) )).
% 29.00/29.25 cnf(matrix-5343, plain, ( ~class_Orderings_Olinorder(_u10935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10935), _u10936), _u10937)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10935, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10935), _u10936), c_Orderings_Obot__class_Obot(tc_fun(_u10935, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10935, _u10936, _u10937)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10935, _u10936), _u10937)) )).
% 29.00/29.25 cnf(matrix-5344, plain, ( ~class_Orderings_Olinorder(_u10938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10938), _u10939), _u10940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10938), _u10940), _u10941)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10938, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10938, _u10939, _u10940)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10938, _u10940, _u10941)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10938, _u10939), _u10941)) )).
% 29.00/29.25 cnf(matrix-5345, plain, ( ( _u10946 = c_Orderings_Obot__class_Obot(tc_fun(_u10947, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u10947, _u10948, _u10942, _u10946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10948, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10947, _u10948, _u10942), _u10946)), _u10949)) | ( hAPP(c_Set_Oimage(_u10948, _u10947, skolem232(_u10949, _u10948, _u10947, _u10946)), _u10949) = _u10946) )).
% 29.00/29.25 cnf(matrix-5346, plain, ( ( _u10946 = c_Orderings_Obot__class_Obot(tc_fun(_u10947, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10948, _u10947, _u10944), _u10949) != _u10946) | c_Fun_Oinj__on(_u10947, _u10948, skolem233(_u10949, _u10948, _u10947, _u10946), _u10946) )).
% 29.00/29.25 cnf(matrix-5347, plain, ( ( _u10946 = c_Orderings_Obot__class_Obot(tc_fun(_u10947, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10948, _u10947, _u10944), _u10949) != _u10946) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10948, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10947, _u10948, skolem233(_u10949, _u10948, _u10947, _u10946)), _u10946)), _u10949)) )).
% 29.00/29.25 cnf(matrix-5348, plain, ( ~c_Finite__Set_Ofolding__image(_u10950, _u10951, _u10952, _u10953, _u10954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10951), _u10955)) | ~c_Fun_Oinj__on(_u10951, _u10951, _u10956, _u10955) | ( hAPP(hAPP(_u10954, _u10957), hAPP(c_Set_Oimage(_u10951, _u10951, _u10956), _u10955)) = hAPP(hAPP(_u10954, hAPP(c_Fun_Ocomp(_u10951, _u10950, _u10951, _u10957), _u10956)), _u10955)) )).
% 29.00/29.25 cnf(matrix-5349, plain, ( ~c_Fun_Oinj__on(_u10958, _u10959, _u10960, hAPP(c_Set_Oimage(_u10961, _u10958, _u10962), _u10963)) | ~c_Fun_Oinj__on(_u10961, _u10958, _u10962, _u10963) | ~hBOOL(hAPP(hAPP(c_member(_u10959), _u10964), hAPP(c_Set_Oimage(_u10958, _u10959, _u10960), hAPP(c_Set_Oimage(_u10961, _u10958, _u10962), _u10963)))) | ( hAPP(c_Fun_Othe__inv__into(_u10961, _u10959, _u10963, hAPP(c_Fun_Ocomp(_u10958, _u10959, _u10961, _u10960), _u10962)), _u10964) = hAPP(hAPP(c_Fun_Ocomp(_u10958, _u10961, _u10959, c_Fun_Othe__inv__into(_u10961, _u10958, _u10963, _u10962)), c_Fun_Othe__inv__into(_u10958, _u10959, hAPP(c_Set_Oimage(_u10961, _u10958, _u10962), _u10963), _u10960)), _u10964)) )).
% 29.00/29.25 cnf(matrix-5350, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10965), _u10966))) )).
% 29.00/29.25 cnf(matrix-5351, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u10967) )).
% 29.00/29.25 cnf(matrix-5352, 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)), _u10968), _u10969) )).
% 29.00/29.25 cnf(matrix-5353, plain, ( c_Fun_Oinj__on(tc_prod(_u10970, _u10971), tc_prod(_u10971, _u10970), hAPP(c_Product__Type_Oprod_Oprod__case(_u10970, _u10971, tc_prod(_u10971, _u10970)), hAPP(c_COMBC(_u10971, _u10970, tc_prod(_u10971, _u10970)), c_Product__Type_OPair(_u10971, _u10970))), _u10972) )).
% 29.00/29.25 cnf(matrix-5354, 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)), _u10973))) )).
% 29.00/29.25 cnf(matrix-5355, plain, ( ~c_Finite__Set_Ofolding__image(_u10974, _u10975, _u10976, _u10977, _u10978) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10975), _u10979)) | ( hAPP(hAPP(_u10978, hAPP(hAPP(c_COMBS(_u10975, _u10974, _u10974), hAPP(hAPP(c_COMBB(_u10974, tc_fun(_u10974, _u10974), _u10975), _u10976), _u10980)), _u10981)), _u10979) = hAPP(hAPP(_u10976, hAPP(hAPP(_u10978, _u10980), _u10979)), hAPP(hAPP(_u10978, _u10981), _u10979))) )).
% 29.00/29.25 cnf(matrix-5356, plain, ( ~c_Fun_Oinj__on(_u10982, _u10983, _u10984, _u10985) | ~hBOOL(hAPP(hAPP(c_member(_u10982), _u10986), _u10985)) | ( hAPP(c_Fun_Othe__inv__into(_u10982, _u10983, _u10985, _u10984), hAPP(_u10984, _u10986)) = _u10986) )).
% 29.00/29.25 cnf(matrix-5357, plain, ( ~c_Fun_Oinj__on(_u10987, _u10988, _u10989, _u10990) | ( hAPP(_u10989, _u10991) != _u10992) | ~hBOOL(hAPP(hAPP(c_member(_u10987), _u10991), _u10990)) | ( hAPP(c_Fun_Othe__inv__into(_u10987, _u10988, _u10990, _u10989), _u10992) = _u10991) )).
% 29.00/29.25 cnf(matrix-5358, plain, ( ~c_Fun_Oinj__on(_u10993, _u10994, _u10995, _u10996) | c_Fun_Oinj__on(_u10994, _u10993, c_Fun_Othe__inv__into(_u10993, _u10994, _u10996, _u10995), hAPP(c_Set_Oimage(_u10993, _u10994, _u10995), _u10996)) )).
% 29.00/29.25 cnf(matrix-5359, plain, ( ~c_Fun_Oinj__on(_u10997, _u10998, _u10999, _u11000) | ( hAPP(c_Set_Oimage(_u10998, _u10997, c_Fun_Othe__inv__into(_u10997, _u10998, _u11000, _u10999)), hAPP(c_Set_Oimage(_u10997, _u10998, _u10999), _u11000)) = _u11000) )).
% 29.00/29.25 cnf(matrix-5360, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11001), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11002), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u11001, _u11002)) )).
% 29.00/29.25 cnf(matrix-5361, 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)), _u11003)), 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), _u11004), _u11003))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11003), _u11004)) )).
% 29.00/29.25 cnf(matrix-5362, 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)), _u11005)) = hAPP(c_Int_Onat, _u11005)) )).
% 29.00/29.25 cnf(matrix-5363, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u11006), _u11007)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11007), _u11006))) )).
% 29.00/29.25 cnf(matrix-5364, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11008), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11009) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u11008, _u11009)) )).
% 29.00/29.25 cnf(matrix-5365, plain, ( ~c_Finite__Set_Ofolding__image(_u11010, _u11011, _u11012, _u11013, _u11014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11011), _u11015)) | ( hAPP(hAPP(_u11014, _u11016), _u11015) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11010, _u11011, _u11012), _u11016), _u11013), _u11015)) )).
% 29.00/29.25 cnf(matrix-5366, plain, ( ~c_Fun_Oinj__on(_u11017, _u11018, _u11019, _u11020) | ~hBOOL(hAPP(hAPP(c_member(_u11018), _u11021), hAPP(c_Set_Oimage(_u11017, _u11018, _u11019), _u11020))) | ( hAPP(_u11019, hAPP(c_Fun_Othe__inv__into(_u11017, _u11018, _u11020, _u11019), _u11021)) = _u11021) )).
% 29.00/29.25 cnf(matrix-5367, plain, ( ~c_Fun_Oinj__on(_u11022, _u11023, _u11024, _u11025) | ~hBOOL(hAPP(hAPP(c_member(_u11023), _u11026), hAPP(c_Set_Oimage(_u11022, _u11023, _u11024), _u11025))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11022, tc_HOL_Obool)), _u11025), _u11027)) | hBOOL(hAPP(hAPP(c_member(_u11022), hAPP(c_Fun_Othe__inv__into(_u11022, _u11023, _u11025, _u11024), _u11026)), _u11027)) )).
% 29.00/29.25 cnf(matrix-5368, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11029) | ~c_Fun_Oinj__on(_u11030, _u11031, _u11032, _u11033) | ( _u11034 != hAPP(c_Set_Oimage(_u11030, _u11031, _u11032), _u11033)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11031, _u11029), _u11036), _u11034) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11030, _u11029), _u11035), _u11033)) | hBOOL(hAPP(hAPP(c_member(_u11030), skolem234(_u11036, _u11035, _u11034, _u11033, _u11032, _u11031, _u11030, _u11029)), _u11033)) )).
% 29.00/29.25 cnf(matrix-5369, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11029) | ~c_Fun_Oinj__on(_u11030, _u11031, _u11032, _u11033) | ( _u11034 != hAPP(c_Set_Oimage(_u11030, _u11031, _u11032), _u11033)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11031, _u11029), _u11036), _u11034) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11030, _u11029), _u11035), _u11033)) | ( hAPP(_u11035, skolem234(_u11036, _u11035, _u11034, _u11033, _u11032, _u11031, _u11030, _u11029)) != hAPP(hAPP(c_Fun_Ocomp(_u11031, _u11029, _u11030, _u11036), _u11032), skolem234(_u11036, _u11035, _u11034, _u11033, _u11032, _u11031, _u11030, _u11029))) )).
% 29.00/29.25 cnf(matrix-5370, plain, ( ~class_Orderings_Olinorder(_u11037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11037), _u11038), _u11039)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11037, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11037), _u11038)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11037, _u11038, _u11039)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11037), _u11039)) )).
% 29.00/29.25 cnf(matrix-5371, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11040, _u11041, _u11042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11040), _u11043)) | ( _u11043 = c_Orderings_Obot__class_Obot(tc_fun(_u11040, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11040), _u11044)) | ( _u11044 = c_Orderings_Obot__class_Obot(tc_fun(_u11040, tc_HOL_Obool))) | ( hAPP(_u11042, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11040, tc_HOL_Obool)), _u11043), _u11044)) = hAPP(hAPP(_u11041, hAPP(_u11042, _u11043)), hAPP(_u11042, _u11044))) )).
% 29.00/29.25 cnf(matrix-5372, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11045))) )).
% 29.00/29.25 cnf(matrix-5373, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11046)) = _u11046) )).
% 29.00/29.25 cnf(matrix-5374, plain, ( ( hAPP(hAPP(_u11048, _u11050), _u11050) = _u11050) | ~c_Finite__Set_Ofolding__one__idem(_u11047, _u11048, _u11049) )).
% 29.00/29.25 cnf(matrix-5375, plain, ( ~class_Orderings_Olinorder(_u11051) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11051), _u11052) != hAPP(c_SetInterval_Oord__class_OlessThan(_u11051), _u11053)) | ( _u11052 = _u11053) )).
% 29.00/29.25 cnf(matrix-5376, plain, ( ~class_Orderings_Olinorder(_u11051) | ( _u11052 != _u11053) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u11051), _u11052) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11051), _u11053)) )).
% 29.00/29.25 cnf(matrix-5377, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11054) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11054)) )).
% 29.00/29.25 cnf(matrix-5378, 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))) )).
% 29.00/29.25 cnf(matrix-5379, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11055)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11055)) )).
% 29.00/29.25 cnf(matrix-5380, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11056)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11056), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11056))) )).
% 29.00/29.25 cnf(matrix-5381, plain, ( ~class_Orderings_Oord(_u11057) | ~hBOOL(hAPP(hAPP(c_member(_u11057), _u11058), hAPP(c_SetInterval_Oord__class_OlessThan(_u11057), _u11059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11057), _u11058), _u11059)) )).
% 29.00/29.25 cnf(matrix-5382, plain, ( ~class_Orderings_Oord(_u11057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11057), _u11058), _u11059)) | hBOOL(hAPP(hAPP(c_member(_u11057), _u11058), hAPP(c_SetInterval_Oord__class_OlessThan(_u11057), _u11059))) )).
% 29.00/29.25 cnf(matrix-5383, plain, ( ~class_Orderings_Olinorder(_u11060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11060, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11060), _u11061)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11060), _u11062))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11060), _u11061), _u11062)) )).
% 29.00/29.25 cnf(matrix-5384, plain, ( ~class_Orderings_Olinorder(_u11060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11060), _u11061), _u11062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11060, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11060), _u11061)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11060), _u11062))) )).
% 29.00/29.25 cnf(matrix-5385, plain, ( ~class_Orderings_Olinorder(_u11063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11063, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11063), _u11064)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11063), _u11065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11063), _u11064), _u11065)) )).
% 29.00/29.25 cnf(matrix-5386, plain, ( ~class_Orderings_Olinorder(_u11063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11063), _u11064), _u11065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11063, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11063), _u11064)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11063), _u11065))) )).
% 29.00/29.25 cnf(matrix-5387, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11066, _u11067, _u11068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11066), _u11069)) | ~hBOOL(hAPP(hAPP(c_member(_u11066), _u11070), _u11069)) | ( hAPP(hAPP(_u11067, _u11070), hAPP(_u11068, _u11069)) = hAPP(_u11068, _u11069)) )).
% 29.00/29.25 cnf(matrix-5388, plain, ( ~class_Orderings_Oorder(_u11071) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11071, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11071), _u11072), c_Orderings_Obot__class_Obot(tc_fun(_u11071, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u11071), _u11072)) = hAPP(hAPP(c_Set_Oinsert(_u11071), _u11072), c_Orderings_Obot__class_Obot(tc_fun(_u11071, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5389, plain, ( ~class_Orderings_Olinorder(_u11073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11073), _u11074), _u11075)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11073, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11073), _u11074)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11073, _u11074), _u11075)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11073), _u11075)) )).
% 29.00/29.25 cnf(matrix-5390, plain, ( ~class_Orderings_Oorder(_u11076) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11076, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11076), _u11077)), c_SetInterval_Oord__class_OatLeastAtMost(_u11076, _u11077, _u11078)) = c_Orderings_Obot__class_Obot(tc_fun(_u11076, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5391, plain, ( ~class_Orderings_Oorder(_u11079) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11079, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11079), _u11080)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11079, _u11080), _u11081)) = c_Orderings_Obot__class_Obot(tc_fun(_u11079, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5392, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11082)) = 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), _u11082)))) )).
% 29.00/29.25 cnf(matrix-5393, plain, ( ~class_Orderings_Olinorder(_u11083) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11083, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11083), _u11084)), hAPP(hAPP(c_Set_Oinsert(_u11083), _u11084), c_Orderings_Obot__class_Obot(tc_fun(_u11083, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u11083), _u11084)) )).
% 29.00/29.25 cnf(matrix-5394, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11085, _u11086, _u11087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11085), _u11088)) | ( _u11088 = c_Orderings_Obot__class_Obot(tc_fun(_u11085, tc_HOL_Obool))) | ( hAPP(_u11087, hAPP(hAPP(c_Set_Oinsert(_u11085), _u11089), _u11088)) = hAPP(hAPP(_u11086, _u11089), hAPP(_u11087, _u11088))) )).
% 29.00/29.25 cnf(matrix-5395, plain, ( ~class_Orderings_Olinorder(_u11090) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11090), _u11091), _u11092)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11090, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11090), _u11091)), c_SetInterval_Oord__class_OatLeastAtMost(_u11090, _u11091, _u11092)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11090), _u11092)) )).
% 29.00/29.25 cnf(matrix-5396, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11093, _u11094, _u11095) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11093), _u11096)) | ( _u11097 = c_Orderings_Obot__class_Obot(tc_fun(_u11093, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11093, tc_HOL_Obool)), _u11097), _u11096)) | ( hAPP(hAPP(_u11094, hAPP(_u11095, _u11097)), hAPP(_u11095, _u11096)) = hAPP(_u11095, _u11096)) )).
% 29.00/29.25 cnf(matrix-5397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11098)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11098) = 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, _u11098)))) )).
% 29.00/29.25 cnf(matrix-5398, 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), _u11099)), 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))), _u11100))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11101))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11101)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11099), 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), _u11101), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11100))))) )).
% 29.00/29.25 cnf(matrix-5399, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), skolem236(_u11107, _u11106, _u11105, _u11104))) )).
% 29.00/29.25 cnf(matrix-5400, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | hBOOL(hAPP(hAPP(c_member(_u11104), skolem235(_u11107, _u11106, _u11105, _u11104)), _u11106)) )).
% 29.00/29.25 cnf(matrix-5401, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | ~hBOOL(hAPP(hAPP(c_member(_u11104), skolem235(_u11107, _u11106, _u11105, _u11104)), skolem236(_u11107, _u11106, _u11105, _u11104))) )).
% 29.00/29.25 cnf(matrix-5402, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | hBOOL(hAPP(_u11107, skolem236(_u11107, _u11106, _u11105, _u11104))) )).
% 29.00/29.25 cnf(matrix-5403, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11104), _u11105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11104, tc_HOL_Obool)), _u11105), _u11106)) | ~hBOOL(hAPP(_u11107, c_Orderings_Obot__class_Obot(tc_fun(_u11104, tc_HOL_Obool)))) | hBOOL(hAPP(_u11107, _u11105)) | ~hBOOL(hAPP(_u11107, hAPP(hAPP(c_Set_Oinsert(_u11104), skolem235(_u11107, _u11106, _u11105, _u11104)), skolem236(_u11107, _u11106, _u11105, _u11104)))) )).
% 29.00/29.25 cnf(matrix-5404, plain, ( ~class_Orderings_Oorder(_u11108) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11108, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11108), _u11109)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11108), _u11109)) = hAPP(hAPP(c_Set_Oinsert(_u11108), _u11109), c_Orderings_Obot__class_Obot(tc_fun(_u11108, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5405, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11110), hAPP(c_Groups_Oabs__class_Oabs(_u11110), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11111, _u11110), _u11112), _u11113))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11111, _u11110), hAPP(hAPP(c_COMBB(_u11110, _u11110, _u11111), c_Groups_Oabs__class_Oabs(_u11110)), _u11112)), _u11113))) )).
% 29.00/29.25 cnf(matrix-5406, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11114), c_Groups_Ozero__class_Ozero(_u11114)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11115, _u11114), hAPP(hAPP(c_COMBB(_u11114, _u11114, _u11115), c_Groups_Oabs__class_Oabs(_u11114)), _u11116)), _u11117))) )).
% 29.00/29.25 cnf(matrix-5407, plain, ( ~class_Orderings_Olinorder(_u11118) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11118), _u11119) != hAPP(c_SetInterval_Oord__class_OatLeast(_u11118), _u11120)) | ( _u11119 = _u11120) )).
% 29.00/29.25 cnf(matrix-5408, plain, ( ~class_Orderings_Olinorder(_u11118) | ( _u11119 != _u11120) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u11118), _u11119) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11118), _u11120)) )).
% 29.00/29.25 cnf(matrix-5409, plain, ( ~class_Groups_Oab__group__add(_u11121) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11122, _u11121), hAPP(hAPP(c_COMBB(_u11121, _u11121, _u11122), c_Groups_Ouminus__class_Ouminus(_u11121)), _u11123)), _u11124) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11121), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11122, _u11121), _u11123), _u11124))) )).
% 29.00/29.25 cnf(matrix-5410, plain, ( ~class_Groups_Ocomm__monoid__add(_u11125) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11126, _u11125), hAPP(hAPP(c_COMBC(_u11126, tc_fun(_u11127, tc_HOL_Obool), _u11125), hAPP(hAPP(c_COMBB(tc_fun(_u11127, _u11125), tc_fun(tc_fun(_u11127, tc_HOL_Obool), _u11125), _u11126), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11127, _u11125)), _u11128)), _u11129)), _u11130) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11127, _u11125), hAPP(hAPP(c_COMBC(_u11127, tc_fun(_u11126, tc_HOL_Obool), _u11125), hAPP(hAPP(c_COMBB(tc_fun(_u11126, _u11125), tc_fun(tc_fun(_u11126, tc_HOL_Obool), _u11125), _u11127), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11126, _u11125)), hAPP(c_COMBC(_u11126, _u11127, _u11125), _u11128))), _u11130)), _u11129)) )).
% 29.00/29.25 cnf(matrix-5411, plain, ( ~class_Rings_Osemiring__1(_u11131) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11131), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11132, tc_Nat_Onat), _u11133), _u11134)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11132, _u11131), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11131, _u11132), c_Nat_Osemiring__1__class_Oof__nat(_u11131)), _u11133)), _u11134)) )).
% 29.00/29.25 cnf(matrix-5412, plain, ( ~class_Rings_Oring__1(_u11135) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11135), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11136, tc_Int_Oint), _u11137), _u11138)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11136, _u11135), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11135, _u11136), c_Int_Oring__1__class_Oof__int(_u11135)), _u11137)), _u11138)) )).
% 29.00/29.25 cnf(matrix-5413, plain, ( ~class_Groups_Ocomm__monoid__add(_u11139) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11140, _u11139), hAPP(c_COMBK(_u11139, _u11140), c_Groups_Ozero__class_Ozero(_u11139))), _u11141) = c_Groups_Ozero__class_Ozero(_u11139)) )).
% 29.00/29.25 cnf(matrix-5414, plain, ( ~class_Rings_Osemiring__0(_u11142) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11142), _u11143), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11144, _u11142), _u11145), _u11146)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11144, _u11142), hAPP(hAPP(c_COMBB(_u11142, _u11142, _u11144), hAPP(c_Groups_Otimes__class_Otimes(_u11142), _u11143)), _u11145)), _u11146)) )).
% 29.00/29.25 cnf(matrix-5415, plain, ( ~class_Rings_Osemiring__0(_u11147) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11147), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11148, _u11147), _u11149), _u11150)), _u11151) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11148, _u11147), hAPP(hAPP(c_COMBC(_u11148, _u11147, _u11147), hAPP(hAPP(c_COMBB(_u11147, tc_fun(_u11147, _u11147), _u11148), c_Groups_Otimes__class_Otimes(_u11147)), _u11149)), _u11151)), _u11150)) )).
% 29.00/29.25 cnf(matrix-5416, plain, ( ~class_Rings_Osemiring__0(_u11152) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11152), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11153, _u11152), _u11154), _u11155)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11156, _u11152), _u11157), _u11158)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11153, _u11152), hAPP(hAPP(c_COMBC(_u11153, tc_fun(_u11156, tc_HOL_Obool), _u11152), hAPP(hAPP(c_COMBB(tc_fun(_u11156, _u11152), tc_fun(tc_fun(_u11156, tc_HOL_Obool), _u11152), _u11153), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11156, _u11152)), hAPP(hAPP(c_COMBC(_u11153, tc_fun(_u11156, _u11152), tc_fun(_u11156, _u11152)), hAPP(hAPP(c_COMBB(tc_fun(_u11152, _u11152), tc_fun(tc_fun(_u11156, _u11152), tc_fun(_u11156, _u11152)), _u11153), c_COMBB(_u11152, _u11152, _u11156)), hAPP(hAPP(c_COMBB(_u11152, tc_fun(_u11152, _u11152), _u11153), c_Groups_Otimes__class_Otimes(_u11152)), _u11154))), _u11157))), _u11158)), _u11155)) )).
% 29.00/29.25 cnf(matrix-5417, plain, ( ~class_Groups_Ocomm__monoid__add(_u11159) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11160, _u11159), hAPP(hAPP(c_COMBS(_u11160, _u11159, _u11159), hAPP(hAPP(c_COMBB(_u11159, tc_fun(_u11159, _u11159), _u11160), c_Groups_Oplus__class_Oplus(_u11159)), _u11161)), _u11162)), _u11163) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11159), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11160, _u11159), _u11161), _u11163)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11160, _u11159), _u11162), _u11163))) )).
% 29.00/29.25 cnf(matrix-5418, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u11164) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11164), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11165, _u11164), hAPP(hAPP(c_COMBB(_u11164, _u11164, _u11165), c_Groups_Oabs__class_Oabs(_u11164)), _u11166)), _u11167)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11165, _u11164), hAPP(hAPP(c_COMBB(_u11164, _u11164, _u11165), c_Groups_Oabs__class_Oabs(_u11164)), _u11166)), _u11167)) )).
% 29.00/29.25 cnf(matrix-5419, plain, ( ~class_Fields_Ofield(_u11168) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11168), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11169, _u11168), _u11170), _u11171)), _u11172) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11169, _u11168), hAPP(hAPP(c_COMBC(_u11169, _u11168, _u11168), hAPP(hAPP(c_COMBB(_u11168, tc_fun(_u11168, _u11168), _u11169), c_Rings_Oinverse__class_Odivide(_u11168)), _u11170)), _u11172)), _u11171)) )).
% 29.00/29.25 cnf(matrix-5420, plain, ( ~class_Groups_Oab__group__add(_u11173) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11174, _u11173), hAPP(hAPP(c_COMBS(_u11174, _u11173, _u11173), hAPP(hAPP(c_COMBB(_u11173, tc_fun(_u11173, _u11173), _u11174), c_Groups_Ominus__class_Ominus(_u11173)), _u11175)), _u11176)), _u11177) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11173), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11174, _u11173), _u11175), _u11177)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11174, _u11173), _u11176), _u11177))) )).
% 29.00/29.25 cnf(matrix-5421, plain, ( ~class_Groups_Ocomm__monoid__add(_u11178) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11179, _u11178), _u11180), c_Orderings_Obot__class_Obot(tc_fun(_u11179, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11178)) )).
% 29.00/29.25 cnf(matrix-5422, plain, ( ~class_Groups_Ocomm__monoid__add(_u11181) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11182, _u11181), _u11183), c_Orderings_Obot__class_Obot(tc_fun(_u11182, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u11181)) )).
% 29.00/29.25 cnf(matrix-5423, plain, ( ~class_Groups_Ocomm__monoid__add(_u11184) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11185), _u11186)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11185, _u11184), _u11187), _u11186) = c_Groups_Ozero__class_Ozero(_u11184)) )).
% 29.00/29.25 cnf(matrix-5424, plain, ( ~class_Groups_Ocomm__monoid__add(_u11188) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11189), _u11190)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11189, _u11188), _u11191), _u11190) = c_Groups_Ozero__class_Ozero(_u11188)) )).
% 29.00/29.25 cnf(matrix-5425, plain, ( ~class_Groups_Ocomm__monoid__add(_u11192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11193), _u11194)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11193, _u11192), hAPP(hAPP(c_COMBS(_u11193, _u11192, _u11192), hAPP(hAPP(c_COMBB(_u11192, tc_fun(_u11192, _u11192), _u11193), c_Groups_Oplus__class_Oplus(_u11192)), _u11195)), _u11196)), _u11194) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11192), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11193, _u11192), _u11195), _u11194)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11193, _u11192), _u11196), _u11194))) )).
% 29.00/29.25 cnf(matrix-5426, plain, ( ~class_Groups_Ocomm__monoid__add(_u11197) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11197), _u11198), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11199))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11197), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11197), _u11198), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11199))), hAPP(_u11198, _u11199))) )).
% 29.00/29.25 cnf(matrix-5427, plain, ( ~class_Groups_Ocomm__monoid__add(_u11200) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11200), _u11201), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11202)), hAPP(c_Nat_OSuc, _u11203))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11200), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11200, tc_Nat_Onat), _u11201), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11202), _u11203))) )).
% 29.00/29.25 cnf(matrix-5428, plain, ( ~class_Groups_Ocomm__monoid__add(_u11204) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11204), _u11205), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11206), _u11207)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11208), _u11207))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11204), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11204, tc_Nat_Onat), _u11205), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11207))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11206), _u11208))) )).
% 29.00/29.25 cnf(matrix-5429, plain, ( ~class_Groups_Ocomm__monoid__add(_u11209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11209), _u11210), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11211), hAPP(c_Nat_OSuc, _u11212))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11209), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11209, tc_Nat_Onat), _u11210), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11211, _u11212))) )).
% 29.00/29.25 cnf(matrix-5430, plain, ( ~class_Groups_Ocomm__monoid__add(_u11213) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11213), _u11214), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11215), _u11216), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11217), _u11216))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11213), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11213, tc_Nat_Onat), _u11214), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11216))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11215, _u11217))) )).
% 29.00/29.25 cnf(matrix-5431, plain, ( ~class_Groups_Ocomm__monoid__add(_u11218) | ~c_Fun_Oinj__on(_u11219, _u11220, _u11221, _u11222) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11220, _u11218), _u11223), hAPP(c_Set_Oimage(_u11219, _u11220, _u11221), _u11222)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11219, _u11218), hAPP(c_Fun_Ocomp(_u11220, _u11218, _u11219, _u11223), _u11221)), _u11222)) )).
% 29.00/29.25 cnf(matrix-5432, plain, ( ~class_Groups_Ocomm__monoid__add(_u11224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11225), _u11226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11226), _u11227)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11224), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11224), _u11228), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11225), _u11226))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11224), _u11228), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11226), _u11227))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11224), _u11228), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11225), _u11227))) )).
% 29.00/29.25 cnf(matrix-5433, plain, ( ~class_Groups_Oab__group__add(_u11229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11230), _u11231)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11231), _u11232)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11229), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11229), _u11233), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11230), _u11232))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11229), _u11233), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11230), _u11231))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11229), _u11233), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11231), _u11232))) )).
% 29.00/29.25 cnf(matrix-5434, plain, ( ~class_Orderings_Oord(_u11234) | ~hBOOL(hAPP(hAPP(c_member(_u11234), _u11235), hAPP(c_SetInterval_Oord__class_OatLeast(_u11234), _u11236))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11234), _u11236), _u11235)) )).
% 29.00/29.25 cnf(matrix-5435, plain, ( ~class_Orderings_Oord(_u11234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11234), _u11236), _u11235)) | hBOOL(hAPP(hAPP(c_member(_u11234), _u11235), hAPP(c_SetInterval_Oord__class_OatLeast(_u11234), _u11236))) )).
% 29.00/29.25 cnf(matrix-5436, plain, ( ~class_Groups_Ocomm__monoid__add(_u11237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11238), _u11239)) | ~hBOOL(hAPP(hAPP(c_member(_u11238), _u11240), _u11239)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11238, _u11237), hAPP(hAPP(c_COMBC(_u11238, _u11237, _u11237), hAPP(hAPP(c_COMBS(_u11238, _u11237, tc_fun(_u11237, _u11237)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11237, tc_fun(_u11237, _u11237)), _u11238), c_If(_u11237)), hAPP(c_fequal, _u11240))), _u11241)), c_Groups_Ozero__class_Ozero(_u11237))), _u11239) = hAPP(_u11241, _u11240)) )).
% 29.00/29.25 cnf(matrix-5437, plain, ( ~class_Groups_Ocomm__monoid__add(_u11237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11238), _u11239)) | hBOOL(hAPP(hAPP(c_member(_u11238), _u11240), _u11239)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11238, _u11237), hAPP(hAPP(c_COMBC(_u11238, _u11237, _u11237), hAPP(hAPP(c_COMBS(_u11238, _u11237, tc_fun(_u11237, _u11237)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11237, tc_fun(_u11237, _u11237)), _u11238), c_If(_u11237)), hAPP(c_fequal, _u11240))), _u11241)), c_Groups_Ozero__class_Ozero(_u11237))), _u11239) = c_Groups_Ozero__class_Ozero(_u11237)) )).
% 29.00/29.25 cnf(matrix-5438, plain, ( ~class_Groups_Ocomm__monoid__add(_u11242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11243), _u11244)) | ~hBOOL(hAPP(hAPP(c_member(_u11243), _u11245), _u11244)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11243, _u11242), hAPP(hAPP(c_COMBC(_u11243, _u11242, _u11242), hAPP(hAPP(c_COMBS(_u11243, _u11242, tc_fun(_u11242, _u11242)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11242, tc_fun(_u11242, _u11242)), _u11243), c_If(_u11242)), hAPP(hAPP(c_COMBC(_u11243, _u11243, tc_HOL_Obool), c_fequal), _u11245))), _u11246)), c_Groups_Ozero__class_Ozero(_u11242))), _u11244) = hAPP(_u11246, _u11245)) )).
% 29.00/29.25 cnf(matrix-5439, plain, ( ~class_Groups_Ocomm__monoid__add(_u11242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11243), _u11244)) | hBOOL(hAPP(hAPP(c_member(_u11243), _u11245), _u11244)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11243, _u11242), hAPP(hAPP(c_COMBC(_u11243, _u11242, _u11242), hAPP(hAPP(c_COMBS(_u11243, _u11242, tc_fun(_u11242, _u11242)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11242, tc_fun(_u11242, _u11242)), _u11243), c_If(_u11242)), hAPP(hAPP(c_COMBC(_u11243, _u11243, tc_HOL_Obool), c_fequal), _u11245))), _u11246)), c_Groups_Ozero__class_Ozero(_u11242))), _u11244) = c_Groups_Ozero__class_Ozero(_u11242)) )).
% 29.00/29.25 cnf(matrix-5440, plain, ( ~class_Orderings_Oorder(_u11247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11247, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11247), _u11248)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11247), _u11249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11247), _u11249), _u11248)) )).
% 29.00/29.25 cnf(matrix-5441, plain, ( ~class_Orderings_Oorder(_u11247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11247), _u11249), _u11248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11247, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11247), _u11248)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11247), _u11249))) )).
% 29.00/29.25 cnf(matrix-5442, plain, ( ~class_Rings_Osemiring__1(_u11250) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11251, _u11250), hAPP(c_COMBK(_u11250, _u11251), _u11252)), _u11253) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11250), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11250), hAPP(c_Finite__Set_Ocard(_u11251), _u11253))), _u11252)) )).
% 29.00/29.25 cnf(matrix-5443, plain, ( ~class_Groups_Ocomm__monoid__add(_u11254) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11254), _u11255), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11256))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11254), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11254), _u11255), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u11256))), hAPP(_u11255, hAPP(c_Nat_OSuc, _u11256)))) )).
% 29.00/29.25 cnf(matrix-5444, plain, ( ~class_Orderings_Olinorder(_u11257) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11257, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11257), _u11258)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11257), _u11258)) )).
% 29.00/29.25 cnf(matrix-5445, plain, ( ~class_Orderings_Olinorder(_u11259) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11259, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11259), _u11260)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11259), _u11260)) )).
% 29.00/29.25 cnf(matrix-5446, plain, ( ~class_Groups_Ocomm__monoid__add(_u11261) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11262), _u11263)) | hBOOL(hAPP(hAPP(c_member(_u11262), _u11264), _u11263)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11262, _u11261), _u11265), hAPP(hAPP(c_Set_Oinsert(_u11262), _u11264), _u11263)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11261), hAPP(_u11265, _u11264)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11262, _u11261), _u11265), _u11263))) )).
% 29.00/29.25 cnf(matrix-5447, plain, ( ~class_Groups_Ocomm__monoid__add(_u11266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11267), _u11268)) | hBOOL(hAPP(hAPP(c_member(_u11267), _u11269), _u11268)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11267, _u11266), _u11270), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11269), _u11268)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11266), hAPP(_u11270, _u11269)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11267, _u11266), _u11270), _u11268))) )).
% 29.00/29.25 cnf(matrix-5448, plain, ( ~class_Groups_Ocomm__monoid__add(_u11271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11272), _u11273)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11272), _u11274)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11271), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11272, _u11271), _u11275), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11272, tc_HOL_Obool)), _u11273), _u11274))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11272, _u11271), _u11275), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11272, tc_HOL_Obool)), _u11273), _u11274))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11271), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11272, _u11271), _u11275), _u11273)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11272, _u11271), _u11275), _u11274))) )).
% 29.00/29.25 cnf(matrix-5449, plain, ( ~class_Groups_Oab__group__add(_u11276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11277), _u11278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11277, tc_HOL_Obool)), _u11279), _u11278)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11277, _u11276), _u11280), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11277, tc_HOL_Obool)), _u11278), _u11279)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11276), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11277, _u11276), _u11280), _u11278)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11277, _u11276), _u11280), _u11279))) )).
% 29.00/29.25 cnf(matrix-5450, plain, ( ~class_Groups_Ocomm__monoid__add(_u11281) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11282), _u11283)) | ~c_Fun_Oinj__on(_u11282, _u11282, _u11284, _u11283) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11282, _u11281), _u11285), hAPP(c_Set_Oimage(_u11282, _u11282, _u11284), _u11283)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11282, _u11281), hAPP(c_Fun_Ocomp(_u11282, _u11281, _u11282, _u11285), _u11284)), _u11283)) )).
% 29.00/29.25 cnf(matrix-5451, plain, ( ~class_Groups_Ocomm__monoid__add(_u11286) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11287), _u11288)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11287, _u11286), _u11289), _u11288) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11286, _u11287, c_Groups_Oplus__class_Oplus(_u11286)), _u11289), c_Groups_Ozero__class_Ozero(_u11286)), _u11288)) )).
% 29.00/29.25 cnf(matrix-5452, plain, ( ~class_Groups_Ocomm__monoid__add(_u11290) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11291), _u11292)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11291, _u11290), _u11293), _u11292) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u11290, _u11291, c_Groups_Oplus__class_Oplus(_u11290)), _u11293), c_Groups_Ozero__class_Ozero(_u11290)), _u11292)) )).
% 29.00/29.25 cnf(matrix-5453, plain, ( ~class_Groups_Ocomm__monoid__add(_u11290) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11291), _u11292)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11291, _u11290), _u11293), _u11292) = c_Groups_Ozero__class_Ozero(_u11290)) )).
% 29.00/29.25 cnf(matrix-5454, plain, ( ~class_Groups_Ocomm__monoid__add(_u11294) | ( hAPP(_u11295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u11294)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11294), _u11295), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u11296)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11294), _u11295), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11296))) )).
% 29.00/29.25 cnf(matrix-5455, plain, ( ~class_Groups_Ocomm__monoid__add(_u11297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11298), _u11299)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11297), _u11300), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11298), _u11299)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11297), hAPP(_u11300, _u11298)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11297), _u11300), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11298)), _u11299)))) )).
% 29.00/29.25 cnf(matrix-5456, plain, ( ~class_Groups_Ocomm__monoid__add(_u11301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11302), _u11303)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11301), _u11304), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11302, _u11303)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11301), hAPP(_u11304, _u11302)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11301), _u11304), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11302), _u11303)))) )).
% 29.00/29.25 cnf(matrix-5457, plain, ( ~class_Groups_Ocomm__monoid__add(_u11305) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11306), _u11307)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11306, _u11305), _u11308), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11306, tc_HOL_Obool)), _u11307), _u11309)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11306, _u11305), hAPP(hAPP(c_COMBC(_u11306, _u11305, _u11305), hAPP(hAPP(c_COMBS(_u11306, _u11305, tc_fun(_u11305, _u11305)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11305, tc_fun(_u11305, _u11305)), _u11306), c_If(_u11305)), hAPP(hAPP(c_COMBC(_u11306, tc_fun(_u11306, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11306)), _u11309))), _u11308)), c_Groups_Ozero__class_Ozero(_u11305))), _u11307)) )).
% 29.00/29.25 cnf(matrix-5458, plain, ( ~class_Groups_Ocomm__monoid__add(_u11310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11311), _u11312)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11311, _u11310), _u11313), hAPP(hAPP(c_Set_Oinsert(_u11311), _u11314), _u11312)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11310), hAPP(_u11313, _u11314)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11311, _u11310), _u11313), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11311, tc_HOL_Obool)), _u11312), hAPP(hAPP(c_Set_Oinsert(_u11311), _u11314), c_Orderings_Obot__class_Obot(tc_fun(_u11311, tc_HOL_Obool))))))) )).
% 29.00/29.25 cnf(matrix-5459, plain, ( ~class_Groups_Ocomm__monoid__add(_u11315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11316), _u11317)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11316), _u11318)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11316, tc_HOL_Obool)), _u11317), _u11318) != c_Orderings_Obot__class_Obot(tc_fun(_u11316, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11316, _u11315), _u11319), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11316, tc_HOL_Obool)), _u11317), _u11318)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11315), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11316, _u11315), _u11319), _u11317)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11316, _u11315), _u11319), _u11318))) )).
% 29.00/29.25 cnf(matrix-5460, plain, ( ~class_Groups_Oab__group__add(_u11320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11321), _u11322)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11321), _u11323)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11321, _u11320), _u11324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11321, tc_HOL_Obool)), _u11322), _u11323)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11320), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11320), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11321, _u11320), _u11324), _u11322)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11321, _u11320), _u11324), _u11323))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11321, _u11320), _u11324), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11321, tc_HOL_Obool)), _u11322), _u11323)))) )).
% 29.00/29.25 cnf(matrix-5461, plain, ( ~class_Orderings_Olinorder(_u11325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11325), _u11326), _u11327)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11325, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11325, _u11326), _u11327)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11325), _u11327)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11325), _u11326)) )).
% 29.00/29.25 cnf(matrix-5462, plain, ( ~class_Orderings_Oorder(_u11328) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u11328, _u11329), _u11330)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11328), _u11330)) = c_Orderings_Obot__class_Obot(tc_fun(_u11328, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5463, plain, ( ~class_Orderings_Olinorder(_u11331) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11331, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11331), _u11332)), c_SetInterval_Oord__class_OatLeastAtMost(_u11331, _u11333, _u11334)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11331, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11331), _u11332), _u11333), _u11334)) )).
% 29.00/29.25 cnf(matrix-5464, plain, ( ~class_Orderings_Olinorder(_u11335) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11335, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11335, _u11336, _u11337)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11335), _u11338)) = c_SetInterval_Oord__class_OatLeastAtMost(_u11335, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11335), _u11336), _u11338), _u11337)) )).
% 29.00/29.25 cnf(matrix-5465, plain, ( ~class_Groups_Ocomm__monoid__add(_u11339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11340), _u11341)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11339), _u11342), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11341), hAPP(c_Nat_OSuc, _u11340))) = c_Groups_Ozero__class_Ozero(_u11339)) )).
% 29.00/29.25 cnf(matrix-5466, plain, ( ~class_Groups_Ocomm__monoid__add(_u11339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11340), _u11341)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11339), _u11342), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11341), hAPP(c_Nat_OSuc, _u11340))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11339), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11339), _u11342), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u11341), _u11340))), hAPP(_u11342, _u11340))) )).
% 29.00/29.25 cnf(matrix-5467, plain, ( ~class_Groups_Ocomm__monoid__add(_u11343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11344)), _u11345)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11343), _u11346), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11345, hAPP(c_Nat_OSuc, _u11344))) = c_Groups_Ozero__class_Ozero(_u11343)) )).
% 29.00/29.25 cnf(matrix-5468, plain, ( ~class_Groups_Ocomm__monoid__add(_u11343) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11344)), _u11345)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11343), _u11346), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11345, hAPP(c_Nat_OSuc, _u11344))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11343), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11343), _u11346), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11345, _u11344))), hAPP(_u11346, hAPP(c_Nat_OSuc, _u11344)))) )).
% 29.00/29.25 cnf(matrix-5469, plain, ( ~class_Groups_Ocomm__monoid__add(_u11347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11348), _u11349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11347), _u11350), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11348, _u11349)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11347), hAPP(_u11350, _u11348)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11347), _u11350), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u11348, _u11349)))) )).
% 29.00/29.25 cnf(matrix-5470, plain, ( ~class_Orderings_Oorder(_u11351) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11351, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11351, _u11352, _u11353)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11351), _u11353)) = c_Orderings_Obot__class_Obot(tc_fun(_u11351, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5471, plain, ( ~class_Groups_Oordered__ab__group__add(_u11354) | ( hAPP(c_Set_Oimage(_u11354, _u11354, c_Groups_Ouminus__class_Ouminus(_u11354)), hAPP(c_SetInterval_Oord__class_OatMost(_u11354), _u11355)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11354), hAPP(c_Groups_Ouminus__class_Ouminus(_u11354), _u11355))) )).
% 29.00/29.25 cnf(matrix-5472, plain, ( ~class_Groups_Oordered__ab__group__add(_u11356) | ( hAPP(c_Set_Oimage(_u11356, _u11356, c_Groups_Ouminus__class_Ouminus(_u11356)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11356), _u11357)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11356), hAPP(c_Groups_Ouminus__class_Ouminus(_u11356), _u11357))) )).
% 29.00/29.25 cnf(matrix-5473, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11358)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u11358)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u11358), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5474, plain, ( ~class_Groups_Ocomm__monoid__add(_u11359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11360), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11361), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11359), _u11362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11360, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11361), _u11363))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11359), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11359), _u11362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u11360, _u11361))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11359), _u11362), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11361), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11361), _u11363))))) )).
% 29.00/29.25 cnf(matrix-5475, plain, ( ~class_Groups_Ocomm__monoid__add(_u11364) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11365), _u11366)) | ~hBOOL(hAPP(hAPP(c_member(_u11365), _u11367), _u11366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11365, _u11364), _u11368), _u11366) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11364), hAPP(_u11368, _u11367)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11365, _u11364), _u11368), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11365, tc_HOL_Obool)), _u11366), hAPP(hAPP(c_Set_Oinsert(_u11365), _u11367), c_Orderings_Obot__class_Obot(tc_fun(_u11365, tc_HOL_Obool))))))) )).
% 29.00/29.25 cnf(matrix-5476, plain, ( ~class_Groups_Ocomm__monoid__add(_u11369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11370), _u11371)) | ~hBOOL(hAPP(hAPP(c_member(_u11370), _u11372), _u11371)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11370, _u11369), _u11373), _u11371) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11369), hAPP(_u11373, _u11372)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11370, _u11369), _u11373), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11370, tc_HOL_Obool)), _u11371), hAPP(hAPP(c_Set_Oinsert(_u11370), _u11372), c_Orderings_Obot__class_Obot(tc_fun(_u11370, tc_HOL_Obool))))))) )).
% 29.00/29.25 cnf(matrix-5477, plain, ( ~class_Rings_Oring(_u11374) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11375), _u11376)) | ~hBOOL(hAPP(hAPP(c_member(_u11375), _u11377), _u11376)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11375, _u11374), _u11378), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11375, tc_HOL_Obool)), _u11376), hAPP(hAPP(c_Set_Oinsert(_u11375), _u11377), c_Orderings_Obot__class_Obot(tc_fun(_u11375, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11374), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11375, _u11374), _u11378), _u11376)), hAPP(_u11378, _u11377))) )).
% 29.00/29.25 cnf(matrix-5478, plain, ( ~class_Groups_Oab__group__add(_u11379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11380), _u11381)) | ~hBOOL(hAPP(hAPP(c_member(_u11380), _u11382), _u11381)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11380, _u11379), _u11383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11380, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Set_Oinsert(_u11380), _u11382), c_Orderings_Obot__class_Obot(tc_fun(_u11380, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11379), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11380, _u11379), _u11383), _u11381)), hAPP(_u11383, _u11382))) )).
% 29.00/29.25 cnf(matrix-5479, plain, ( ~class_Groups_Oab__group__add(_u11379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11380), _u11381)) | hBOOL(hAPP(hAPP(c_member(_u11380), _u11382), _u11381)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11380, _u11379), _u11383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11380, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Set_Oinsert(_u11380), _u11382), c_Orderings_Obot__class_Obot(tc_fun(_u11380, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11380, _u11379), _u11383), _u11381)) )).
% 29.00/29.25 cnf(matrix-5480, plain, ( ~class_Rings_Ocomm__semiring__1(_u11384) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11384), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11384), c_Groups_Oone__class_Oone(_u11384)), c_Groups_Oone__class_Oone(_u11384))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11384), hAPP(hAPP(c_COMBB(_u11384, _u11384, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u11384), _u11385)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u11384, _u11384), hAPP(hAPP(c_COMBB(_u11384, tc_fun(_u11384, _u11384), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u11384)), c_Nat_Osemiring__1__class_Oof__nat(_u11384))), _u11386))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11387))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11384), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11384), _u11387)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11384), _u11385), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11384), _u11385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11384), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11384), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11387), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11386))))) )).
% 29.00/29.25 cnf(matrix-5481, plain, ( ~class_Fields_Ofield(_u11388) | ( _u11389 = c_Groups_Oone__class_Oone(_u11388)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11388), hAPP(c_Power_Opower__class_Opower(_u11388), _u11389)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11390)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11388), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11388), hAPP(hAPP(c_Power_Opower__class_Opower(_u11388), _u11389), _u11390)), c_Groups_Oone__class_Oone(_u11388))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11388), _u11389), c_Groups_Oone__class_Oone(_u11388)))) )).
% 29.00/29.25 cnf(matrix-5482, plain, ( ~class_Rings_Ocomm__semiring__1(_u11391) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11391), c_Groups_Oone__class_Oone(_u11391)), c_Groups_Oone__class_Oone(_u11391))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11391), c_Nat_Osemiring__1__class_Oof__nat(_u11391)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u11392))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11391), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11391), _u11392)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11391), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11391), _u11392)), c_Groups_Oone__class_Oone(_u11391)))) )).
% 29.00/29.25 cnf(matrix-5483, plain, ( ~class_Groups_Oab__group__add(_u11393) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11394), _u11395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11393), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u11393, _u11393), hAPP(hAPP(c_COMBB(_u11393, tc_fun(_u11393, _u11393), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u11393)), _u11396)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11393, tc_Nat_Onat), _u11396), 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, _u11394, _u11395)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11393), hAPP(_u11396, _u11394)), hAPP(_u11396, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11395), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 29.00/29.25 cnf(matrix-5484, plain, ( ~class_Groups_Oab__group__add(_u11393) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11394), _u11395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11393), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u11393, _u11393), hAPP(hAPP(c_COMBB(_u11393, tc_fun(_u11393, _u11393), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u11393)), _u11396)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11393, tc_Nat_Onat), _u11396), 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, _u11394, _u11395)) = c_Groups_Ozero__class_Ozero(_u11393)) )).
% 29.00/29.25 cnf(matrix-5485, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u11398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11399), _u11400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11399, tc_HOL_Obool)), _u11401), _u11400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11398), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11399, _u11398), _u11402), _u11401)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11399, _u11398), _u11402), _u11400))) | hBOOL(hAPP(hAPP(c_member(_u11399), skolem237(_u11402, _u11401, _u11400, _u11399, _u11398)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11399, tc_HOL_Obool)), _u11400), _u11401))) )).
% 29.00/29.25 cnf(matrix-5486, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u11398) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11399), _u11400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11399, tc_HOL_Obool)), _u11401), _u11400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11398), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11399, _u11398), _u11402), _u11401)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11399, _u11398), _u11402), _u11400))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11398), c_Groups_Ozero__class_Ozero(_u11398)), hAPP(_u11402, skolem237(_u11402, _u11401, _u11400, _u11399, _u11398)))) )).
% 29.00/29.25 cnf(matrix-5487, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u11404) | ~class_Rings_Osemiring__1(_u11404) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11404), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11405, _u11404), _u11407), _u11406)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11404), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11404), hAPP(c_Finite__Set_Ocard(_u11405), _u11406))), _u11408))) | hBOOL(hAPP(hAPP(c_member(_u11405), skolem238(_u11408, _u11407, _u11406, _u11405, _u11404)), _u11406)) )).
% 29.00/29.25 cnf(matrix-5488, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u11404) | ~class_Rings_Osemiring__1(_u11404) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11404), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11405, _u11404), _u11407), _u11406)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11404), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11404), hAPP(c_Finite__Set_Ocard(_u11405), _u11406))), _u11408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11404), hAPP(_u11407, skolem238(_u11408, _u11407, _u11406, _u11405, _u11404))), _u11408)) )).
% 29.00/29.25 cnf(matrix-5489, plain, ( ~class_Groups_Ocomm__monoid__add(_u11410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11411), _u11412)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11411), _u11413)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11411, tc_HOL_Obool)), _u11412), _u11413)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11410), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), _u11412)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), _u11413))) | hBOOL(hAPP(hAPP(c_member(_u11411), skolem239(_u11414, _u11413, _u11412, _u11411, _u11410)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11411, tc_HOL_Obool)), _u11412), _u11413))) )).
% 29.00/29.25 cnf(matrix-5490, plain, ( ~class_Groups_Ocomm__monoid__add(_u11410) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11411), _u11412)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11411), _u11413)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11411, tc_HOL_Obool)), _u11412), _u11413)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11410), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), _u11412)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11411, _u11410), _u11414), _u11413))) | ( hAPP(_u11414, skolem239(_u11414, _u11413, _u11412, _u11411, _u11410)) != c_Groups_Ozero__class_Ozero(_u11410)) )).
% 29.00/29.25 cnf(matrix-5491, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11417), _u11418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11417, tc_Nat_Onat), _u11419), _u11418) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11417), _u11415), _u11418)) | ( hAPP(_u11419, _u11415) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-5492, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11417), _u11418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11417, tc_Nat_Onat), _u11419), _u11418) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11417), skolem240(_u11419, _u11418, _u11417)), _u11418)) )).
% 29.00/29.25 cnf(matrix-5493, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11417), _u11418)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11417, tc_Nat_Onat), _u11419), _u11418) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u11419, skolem240(_u11419, _u11418, _u11417)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-5494, plain, ( ( hAPP(c_Finite__Set_Ocard(_u11420), _u11421) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11420, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u11420), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u11421)) )).
% 29.00/29.25 cnf(matrix-5495, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11422, tc_Nat_Onat), _u11423), _u11424)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11422, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u11422), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11423)), _u11424)) )).
% 29.00/29.25 cnf(matrix-5496, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u11429), skolem241(_u11431, _u11430, _u11429)), _u11430)) )).
% 29.00/29.25 cnf(matrix-5497, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u11431, skolem241(_u11431, _u11430, _u11429)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.25 cnf(matrix-5498, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11429), _u11425), _u11430)) | ( skolem241(_u11431, _u11430, _u11429) = _u11425) | ( hAPP(_u11431, _u11425) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-5499, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11429), _u11428), _u11430)) | ( hAPP(_u11431, _u11428) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u11429), skolem242(_u11431, _u11430, _u11429, _u11428)), _u11430)) )).
% 29.00/29.25 cnf(matrix-5500, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11429), _u11428), _u11430)) | ( hAPP(_u11431, _u11428) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u11428 != skolem242(_u11431, _u11430, _u11429, _u11428)) )).
% 29.00/29.25 cnf(matrix-5501, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11429), _u11430)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11429, tc_Nat_Onat), _u11431), _u11430) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u11429), _u11428), _u11430)) | ( hAPP(_u11431, _u11428) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u11431, skolem242(_u11431, _u11430, _u11429, _u11428)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-5502, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11436), skolem243(_u11438, _u11437, _u11436)), _u11437)) )).
% 29.00/29.25 cnf(matrix-5503, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11438, skolem243(_u11438, _u11437, _u11436)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-5504, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11432), _u11437)) | ( skolem243(_u11438, _u11437, _u11436) = _u11432) | ( hAPP(_u11438, _u11432) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-5505, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11435), _u11437)) | ( hAPP(_u11438, _u11435) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u11436), skolem244(_u11438, _u11437, _u11436, _u11435)), _u11437)) )).
% 29.00/29.25 cnf(matrix-5506, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11435), _u11437)) | ( hAPP(_u11438, _u11435) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u11435 != skolem244(_u11438, _u11437, _u11436, _u11435)) )).
% 29.00/29.25 cnf(matrix-5507, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11436), _u11437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11436, tc_Nat_Onat), _u11438), _u11437) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11435), _u11437)) | ( hAPP(_u11438, _u11435) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u11438, skolem244(_u11438, _u11437, _u11436, _u11435)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-5508, plain, ( ( hAPP(_u11439, 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), _u11439), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11440)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11439), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u11440))) )).
% 29.00/29.25 cnf(matrix-5509, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11441, tc_Nat_Onat), _u11442), _u11443) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11441, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u11441), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11442)), _u11443))) )).
% 29.00/29.25 cnf(matrix-5510, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11444), _u11445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11444, tc_HOL_Obool)), _u11445), _u11446)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, tc_Nat_Onat), _u11447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11444, tc_HOL_Obool)), _u11446), _u11445)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, tc_Nat_Onat), _u11447), _u11446)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11444, tc_Nat_Onat), _u11447), _u11445))) )).
% 29.00/29.25 cnf(matrix-5511, plain, ( ~class_Groups_Ocomm__monoid__add(_u11448) | ~class_Groups_Ocomm__monoid__mult(_u11448) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11448), _u11449), _u11450) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11448), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11448, tc_Int_Oint), _u11449), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u11450))) )).
% 29.00/29.25 cnf(matrix-5512, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11455), _u11457), _u11459)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11455, tc_Nat_Onat), _u11461), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11455, tc_HOL_Obool)), _u11459), hAPP(hAPP(c_Set_Oinsert(_u11455), _u11457), c_Orderings_Obot__class_Obot(tc_fun(_u11455, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11455, tc_Nat_Onat), _u11461), _u11459)), hAPP(_u11461, _u11457))) )).
% 29.00/29.25 cnf(matrix-5513, plain, ( hBOOL(hAPP(hAPP(c_member(_u11456), _u11458), _u11460)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11456, tc_Nat_Onat), _u11462), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11456, tc_HOL_Obool)), _u11460), hAPP(hAPP(c_Set_Oinsert(_u11456), _u11458), c_Orderings_Obot__class_Obot(tc_fun(_u11456, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11456, tc_Nat_Onat), _u11462), _u11460)) )).
% 29.00/29.25 cnf(matrix-5514, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11463), _u11464)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11463), _u11465)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, tc_Nat_Onat), _u11466), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11463, tc_HOL_Obool)), _u11464), _u11465)) = 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(_u11463, tc_Nat_Onat), _u11466), _u11464)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, tc_Nat_Onat), _u11466), _u11465))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11463, tc_Nat_Onat), _u11466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11463, tc_HOL_Obool)), _u11464), _u11465)))) )).
% 29.00/29.25 cnf(matrix-5515, plain, ( ~class_Groups_Ocomm__monoid__add(_u11467) | ~class_Groups_Ocomm__monoid__mult(_u11467) | ~c_Nat__Transfer_Onat__set(_u11468) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11467), _u11469), _u11468) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11467), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11467, tc_Nat_Onat), _u11469), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11468))) )).
% 29.00/29.25 cnf(matrix-5516, 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), _u11470)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u11471))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11472))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11470), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11470), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11472), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u11471))))) )).
% 29.00/29.25 cnf(matrix-5517, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11474, tc_Int_Oint), _u11476), _u11475) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11474, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11474), c_Int_Onat), _u11476)), _u11475))) | hBOOL(hAPP(hAPP(c_member(_u11474), skolem245(_u11476, _u11475, _u11474)), _u11475)) )).
% 29.00/29.25 cnf(matrix-5518, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11474, tc_Int_Oint), _u11476), _u11475) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11474, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11474), c_Int_Onat), _u11476)), _u11475))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11476, skolem245(_u11476, _u11475, _u11474))) )).
% 29.00/29.25 cnf(matrix-5519, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11477)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11477)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11477)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5520, plain, ( ~class_Groups_Ocomm__monoid__add(_u11479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11480), _u11481)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11480), _u11482)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11480, tc_HOL_Obool)), _u11481), _u11482)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), _u11481)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), _u11482))) | hBOOL(hAPP(hAPP(c_member(_u11480), skolem246(_u11483, _u11482, _u11481, _u11480, _u11479)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11480, tc_HOL_Obool)), _u11481), _u11482))) )).
% 29.00/29.25 cnf(matrix-5521, plain, ( ~class_Groups_Ocomm__monoid__add(_u11479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11480), _u11481)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11480), _u11482)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11480, tc_HOL_Obool)), _u11481), _u11482)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), _u11481)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11480, _u11479), _u11483), _u11482))) | ( hAPP(_u11483, skolem246(_u11483, _u11482, _u11481, _u11480, _u11479)) != c_Groups_Ozero__class_Ozero(_u11479)) )).
% 29.00/29.25 cnf(matrix-5522, plain, ( ~class_Orderings_Olinorder(_u11484) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11484), _u11485) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11484), _u11486)) | ( _u11485 = _u11486) )).
% 29.00/29.25 cnf(matrix-5523, plain, ( ~class_Orderings_Olinorder(_u11484) | ( _u11485 != _u11486) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11484), _u11485) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11484), _u11486)) )).
% 29.00/29.25 cnf(matrix-5524, plain, ( ~class_Orderings_Oord(_u11487) | ~hBOOL(hAPP(hAPP(c_member(_u11487), _u11488), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11487), _u11489))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11487), _u11489), _u11488)) )).
% 29.00/29.25 cnf(matrix-5525, plain, ( ~class_Orderings_Oord(_u11487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11487), _u11489), _u11488)) | hBOOL(hAPP(hAPP(c_member(_u11487), _u11488), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11487), _u11489))) )).
% 29.00/29.25 cnf(matrix-5526, plain, ( ~class_Orderings_Olinorder(_u11490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11490, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11490), _u11491)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11490), _u11492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11490), _u11492), _u11491)) )).
% 29.00/29.25 cnf(matrix-5527, plain, ( ~class_Orderings_Olinorder(_u11490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11490), _u11492), _u11491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11490, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11490), _u11491)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11490), _u11492))) )).
% 29.00/29.25 cnf(matrix-5528, plain, ( ~class_Orderings_Olinorder(_u11493) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11493, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11493), _u11494)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11493), _u11494)) )).
% 29.00/29.25 cnf(matrix-5529, plain, ( ~class_Orderings_Olinorder(_u11495) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11495, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11495), _u11496)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11495), _u11496)) )).
% 29.00/29.25 cnf(matrix-5530, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11497)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u11497)) )).
% 29.00/29.25 cnf(matrix-5531, plain, ( ~class_Orderings_Oorder(_u11498) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11498, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11498, _u11499, _u11500)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11498), _u11500)) = c_Orderings_Obot__class_Obot(tc_fun(_u11498, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5532, plain, ( ~class_Orderings_Olinorder(_u11501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11501), _u11502), _u11503)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11501, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11501, _u11502, _u11503)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11501), _u11503)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11501), _u11502)) )).
% 29.00/29.25 cnf(matrix-5533, plain, ( ~class_Groups_Oordered__ab__group__add(_u11504) | ( hAPP(c_Set_Oimage(_u11504, _u11504, c_Groups_Ouminus__class_Ouminus(_u11504)), hAPP(c_SetInterval_Oord__class_OlessThan(_u11504), _u11505)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11504), hAPP(c_Groups_Ouminus__class_Ouminus(_u11504), _u11505))) )).
% 29.00/29.25 cnf(matrix-5534, plain, ( ~class_Groups_Oordered__ab__group__add(_u11506) | ( hAPP(c_Set_Oimage(_u11506, _u11506, c_Groups_Ouminus__class_Ouminus(_u11506)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11506), _u11507)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u11506), hAPP(c_Groups_Ouminus__class_Ouminus(_u11506), _u11507))) )).
% 29.00/29.25 cnf(matrix-5535, plain, ( ~class_Orderings_Oorder(_u11508) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11508, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u11508, _u11509, _u11510)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11508), _u11510)) = c_Orderings_Obot__class_Obot(tc_fun(_u11508, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5536, plain, ( ~class_Orderings_Olinorder(_u11511) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11511, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11511), _u11512), c_Orderings_Obot__class_Obot(tc_fun(_u11511, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11511), _u11512)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11511), _u11512)) )).
% 29.00/29.25 cnf(matrix-5537, plain, ( ~class_Orderings_Olinorder(_u11513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11513), _u11514), _u11515)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11513, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11513, _u11514, _u11515)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11513), _u11515)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11513), _u11514)) )).
% 29.00/29.25 cnf(matrix-5538, plain, ( ~class_Orderings_Olinorder(_u11516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11516), _u11517), _u11518)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11516, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11516, _u11517, _u11518)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11516), _u11518)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11516), _u11517)) )).
% 29.00/29.25 cnf(matrix-5539, plain, ( ~class_Groups_Ocomm__monoid__add(_u11520) | ~class_Groups_Oordered__ab__semigroup__add(_u11520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11521), _u11522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11521, tc_HOL_Obool)), _u11523), _u11522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11520), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11521, _u11520), _u11524), _u11523)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11521, _u11520), _u11524), _u11522))) | hBOOL(hAPP(hAPP(c_member(_u11521), skolem247(_u11524, _u11523, _u11522, _u11521, _u11520)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11521, tc_HOL_Obool)), _u11522), _u11523))) )).
% 29.00/29.25 cnf(matrix-5540, plain, ( ~class_Groups_Ocomm__monoid__add(_u11520) | ~class_Groups_Oordered__ab__semigroup__add(_u11520) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11521), _u11522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11521, tc_HOL_Obool)), _u11523), _u11522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11520), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11521, _u11520), _u11524), _u11523)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11521, _u11520), _u11524), _u11522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11520), c_Groups_Ozero__class_Ozero(_u11520)), hAPP(_u11524, skolem247(_u11524, _u11523, _u11522, _u11521, _u11520)))) )).
% 29.00/29.25 cnf(matrix-5541, plain, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | hBOOL(hAPP(hAPP(c_member(_u11528), skolem248(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527)), _u11529)) )).
% 29.00/29.25 cnf(matrix-5542, plain, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | hBOOL(hAPP(hAPP(c_member(_u11528), skolem249(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527)), _u11529)) )).
% 29.00/29.25 cnf(matrix-5543, plain, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | ( skolem248(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527) != skolem249(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527)) )).
% 29.00/29.25 cnf(matrix-5544, plain, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | ( hAPP(_u11530, skolem248(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527)) = hAPP(_u11530, skolem249(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527))) )).
% 29.00/29.25 cnf(matrix-5545, plain, ( ~class_Groups_Ocomm__monoid__add(_u11527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11528), _u11529)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11532, _u11527), _u11531), hAPP(c_Set_Oimage(_u11528, _u11532, _u11530), _u11529)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11528, _u11527), hAPP(c_Fun_Ocomp(_u11532, _u11527, _u11528, _u11531), _u11530)), _u11529)) | ( hAPP(_u11531, hAPP(_u11530, skolem248(_u11532, _u11531, _u11530, _u11529, _u11528, _u11527))) != c_Groups_Ozero__class_Ozero(_u11527)) )).
% 29.00/29.25 cnf(matrix-5546, plain, ( ~class_Groups_Oordered__ab__group__add(_u11534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11535), _u11536)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11535, _u11534), _u11537), _u11536) != c_Groups_Ozero__class_Ozero(_u11534)) | ~hBOOL(hAPP(hAPP(c_member(_u11535), _u11538), _u11536)) | ( hAPP(_u11537, _u11538) = c_Groups_Ozero__class_Ozero(_u11534)) | hBOOL(hAPP(hAPP(c_member(_u11535), skolem250(_u11538, _u11537, _u11536, _u11535, _u11534)), _u11536)) )).
% 29.00/29.25 cnf(matrix-5547, plain, ( ~class_Groups_Oordered__ab__group__add(_u11534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11535), _u11536)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11535, _u11534), _u11537), _u11536) != c_Groups_Ozero__class_Ozero(_u11534)) | ~hBOOL(hAPP(hAPP(c_member(_u11535), _u11538), _u11536)) | ( hAPP(_u11537, _u11538) = c_Groups_Ozero__class_Ozero(_u11534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11534), c_Groups_Ozero__class_Ozero(_u11534)), hAPP(_u11537, skolem250(_u11538, _u11537, _u11536, _u11535, _u11534)))) )).
% 29.00/29.25 cnf(matrix-5548, plain, ( ~class_Groups_Oordered__ab__group__add(_u11540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11541), _u11542)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11541, _u11540), _u11543), _u11542) != _u11544) | ~hBOOL(hAPP(hAPP(c_member(_u11541), _u11545), _u11542)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11540), hAPP(_u11543, _u11545)), _u11544)) | hBOOL(hAPP(hAPP(c_member(_u11541), skolem251(_u11545, _u11544, _u11543, _u11542, _u11541, _u11540)), _u11542)) )).
% 29.00/29.25 cnf(matrix-5549, plain, ( ~class_Groups_Oordered__ab__group__add(_u11540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11541), _u11542)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11541, _u11540), _u11543), _u11542) != _u11544) | ~hBOOL(hAPP(hAPP(c_member(_u11541), _u11545), _u11542)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11540), hAPP(_u11543, _u11545)), _u11544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11540), c_Groups_Ozero__class_Ozero(_u11540)), hAPP(_u11543, skolem251(_u11545, _u11544, _u11543, _u11542, _u11541, _u11540)))) )).
% 29.00/29.25 cnf(matrix-5550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11547, skolem252(_u11549, _u11548, _u11547))), hAPP(_u11548, skolem252(_u11549, _u11548, _u11547)))) | ( 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), _u11548), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11549))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11547), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11549))) = 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)), _u11548)), _u11547)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11549))) )).
% 29.00/29.25 cnf(matrix-5551, plain, ( ~class_Groups_Ocomm__monoid__add(_u11551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11552), _u11553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11552, tc_HOL_Obool)), _u11554), _u11553)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11552, _u11551), _u11555), _u11554) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11552, _u11551), _u11555), _u11553)) | hBOOL(hAPP(hAPP(c_member(_u11552), skolem253(_u11555, _u11554, _u11553, _u11552, _u11551)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11552, tc_HOL_Obool)), _u11553), _u11554))) )).
% 29.00/29.25 cnf(matrix-5552, plain, ( ~class_Groups_Ocomm__monoid__add(_u11551) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11552), _u11553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11552, tc_HOL_Obool)), _u11554), _u11553)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11552, _u11551), _u11555), _u11554) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11552, _u11551), _u11555), _u11553)) | ( hAPP(_u11555, skolem253(_u11555, _u11554, _u11553, _u11552, _u11551)) != c_Groups_Ozero__class_Ozero(_u11551)) )).
% 29.00/29.25 cnf(matrix-5553, plain, ( ~class_Groups_Ocomm__monoid__add(_u11557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11558), _u11559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11558, tc_HOL_Obool)), _u11560), _u11559)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11558, _u11557), _u11561), _u11559) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11558, _u11557), _u11561), _u11560)) | hBOOL(hAPP(hAPP(c_member(_u11558), skolem254(_u11561, _u11560, _u11559, _u11558, _u11557)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11558, tc_HOL_Obool)), _u11559), _u11560))) )).
% 29.00/29.25 cnf(matrix-5554, plain, ( ~class_Groups_Ocomm__monoid__add(_u11557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11558), _u11559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11558, tc_HOL_Obool)), _u11560), _u11559)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11558, _u11557), _u11561), _u11559) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11558, _u11557), _u11561), _u11560)) | ( hAPP(_u11561, skolem254(_u11561, _u11560, _u11559, _u11558, _u11557)) != c_Groups_Ozero__class_Ozero(_u11557)) )).
% 29.00/29.25 cnf(matrix-5555, plain, ( ~class_Groups_Ocomm__monoid__add(_u11563) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11563) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11564), _u11565)) | ( _u11565 = c_Orderings_Obot__class_Obot(tc_fun(_u11564, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11563), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11564, _u11563), _u11566), _u11565)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11564, _u11563), _u11567), _u11565))) | hBOOL(hAPP(hAPP(c_member(_u11564), skolem255(_u11567, _u11566, _u11565, _u11564, _u11563)), _u11565)) )).
% 29.00/29.25 cnf(matrix-5556, plain, ( ~class_Groups_Ocomm__monoid__add(_u11563) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u11563) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11564), _u11565)) | ( _u11565 = c_Orderings_Obot__class_Obot(tc_fun(_u11564, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11563), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11564, _u11563), _u11566), _u11565)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11564, _u11563), _u11567), _u11565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11563), hAPP(_u11566, skolem255(_u11567, _u11566, _u11565, _u11564, _u11563))), hAPP(_u11567, skolem255(_u11567, _u11566, _u11565, _u11564, _u11563)))) )).
% 29.00/29.25 cnf(matrix-5557, plain, ( ~class_Groups_Ocomm__monoid__add(_u11569) | ~class_Groups_Ocomm__monoid__mult(_u11569) | ( _u11570 != _u11571) | ~c_Nat__Transfer_Onat__set(_u11571) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11569), _u11572), _u11570) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11569), _u11573), _u11571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem256(_u11573, _u11572, _u11571, _u11570, _u11569))) )).
% 29.00/29.25 cnf(matrix-5558, plain, ( ~class_Groups_Ocomm__monoid__add(_u11569) | ~class_Groups_Ocomm__monoid__mult(_u11569) | ( _u11570 != _u11571) | ~c_Nat__Transfer_Onat__set(_u11571) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11569), _u11572), _u11570) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11569), _u11573), _u11571)) | ( hAPP(_u11572, skolem256(_u11573, _u11572, _u11571, _u11570, _u11569)) != hAPP(_u11573, skolem256(_u11573, _u11572, _u11571, _u11570, _u11569))) )).
% 29.00/29.25 cnf(matrix-5559, plain, ( ~class_Groups_Oab__semigroup__mult(_u11574) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11574, _u11574, c_Groups_Otimes__class_Otimes(_u11574), _u11575, _u11576), _u11577)) | ~hBOOL(hAPP(hAPP(c_member(_u11574), _u11578), _u11576)) | hBOOL(hAPP(hAPP(c_member(_u11574), _u11575), _u11576)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11574, _u11574, c_Groups_Otimes__class_Otimes(_u11574), _u11578, hAPP(hAPP(c_Set_Oinsert(_u11574), _u11575), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11574, tc_HOL_Obool)), _u11576), hAPP(hAPP(c_Set_Oinsert(_u11574), _u11578), c_Orderings_Obot__class_Obot(tc_fun(_u11574, tc_HOL_Obool)))))), _u11577)) )).
% 29.00/29.25 cnf(matrix-5560, plain, ( ~class_Lattices_Oboolean__algebra(_u11579) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11579), _u11580), _u11581) != c_Orderings_Obot__class_Obot(_u11579)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11579), _u11580), _u11581) != c_Orderings_Otop__class_Otop(_u11579)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11579), _u11580) = _u11581) )).
% 29.00/29.25 cnf(matrix-5561, plain, ( ~class_Groups_Ocomm__monoid__add(_u11583) | ~class_Groups_Ocomm__monoid__mult(_u11583) | ( _u11584 != _u11585) | ~c_Nat__Transfer_Onat__set(_u11585) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11583), _u11586), _u11584) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11583), _u11587), _u11585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem257(_u11587, _u11586, _u11585, _u11584, _u11583))) )).
% 29.00/29.25 cnf(matrix-5562, plain, ( ~class_Groups_Ocomm__monoid__add(_u11583) | ~class_Groups_Ocomm__monoid__mult(_u11583) | ( _u11584 != _u11585) | ~c_Nat__Transfer_Onat__set(_u11585) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11583), _u11586), _u11584) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11583), _u11587), _u11585)) | ( hAPP(_u11586, skolem257(_u11587, _u11586, _u11585, _u11584, _u11583)) != hAPP(_u11587, skolem257(_u11587, _u11586, _u11585, _u11584, _u11583))) )).
% 29.00/29.25 cnf(matrix-5563, plain, ( hBOOL(hAPP(hAPP(c_member(_u11588), _u11589), c_Orderings_Otop__class_Otop(tc_fun(_u11588, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5564, 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))) )).
% 29.00/29.25 cnf(matrix-5565, plain, ( ( hAPP(_u11592, _u11593) != hAPP(_u11592, _u11594)) | ( _u11593 = _u11594) | ~c_Fun_Oinj__on(_u11590, _u11591, _u11592, c_Orderings_Otop__class_Otop(tc_fun(_u11590, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5566, plain, ( ~c_Fun_Oinj__on(_u11595, _u11596, _u11597, c_Orderings_Otop__class_Otop(tc_fun(_u11595, tc_HOL_Obool))) | ( hAPP(_u11597, _u11598) != hAPP(_u11597, _u11599)) | ( _u11598 = _u11599) )).
% 29.00/29.25 cnf(matrix-5567, plain, ( ~c_Fun_Oinj__on(_u11595, _u11596, _u11597, c_Orderings_Otop__class_Otop(tc_fun(_u11595, tc_HOL_Obool))) | ( _u11598 != _u11599) | ( hAPP(_u11597, _u11598) = hAPP(_u11597, _u11599)) )).
% 29.00/29.25 cnf(matrix-5568, 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))) )).
% 29.00/29.25 cnf(matrix-5569, plain, ( ( hAPP(c_Set_Oimage(_u11600, _u11601, hAPP(hAPP(c_COMBB(_u11602, _u11601, _u11600), _u11603), _u11604)), c_Orderings_Otop__class_Otop(tc_fun(_u11600, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u11602, _u11601, _u11603), hAPP(c_Set_Oimage(_u11600, _u11602, _u11604), c_Orderings_Otop__class_Otop(tc_fun(_u11600, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5570, plain, ( ( hAPP(c_Set_OPow(_u11605), c_Orderings_Otop__class_Otop(tc_fun(_u11605, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11605, tc_HOL_Obool), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5571, 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)) )).
% 29.00/29.25 cnf(matrix-5572, plain, ( ~class_Orderings_Otop(_u11606) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u11607, _u11606)), _u11608) = c_Orderings_Otop__class_Otop(_u11606)) )).
% 29.00/29.25 cnf(matrix-5573, 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) )).
% 29.00/29.25 cnf(matrix-5574, plain, ( hBOOL(hAPP(hAPP(c_member(_u11609), _u11610), c_Orderings_Otop__class_Otop(tc_fun(_u11609, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5575, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11611, _u11612, _u11613, _u11614, c_Orderings_Obot__class_Obot(tc_fun(_u11611, tc_HOL_Obool))), _u11614)) )).
% 29.00/29.25 cnf(matrix-5576, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11615, _u11616, _u11617, _u11618, c_Orderings_Obot__class_Obot(tc_fun(_u11615, tc_HOL_Obool))), _u11618)) )).
% 29.00/29.25 cnf(matrix-5577, plain, ( ( _u11623 = _u11622) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11619, _u11620, _u11621, _u11622, c_Orderings_Obot__class_Obot(tc_fun(_u11619, tc_HOL_Obool))), _u11623)) )).
% 29.00/29.25 cnf(matrix-5578, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u11624, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u11624, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5579, plain, ( ( c_Sum__Type_OPlus(_u11625, _u11626, c_Orderings_Otop__class_Otop(tc_fun(_u11625, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11626, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u11625, _u11626), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5580, plain, ( ~class_Orderings_Otop(_u11627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11627), _u11628), c_Orderings_Otop__class_Otop(_u11627))) )).
% 29.00/29.25 cnf(matrix-5581, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5582, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5583, plain, ( ~class_Finite__Set_Ofinite(_u11629) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11629), c_Orderings_Otop__class_Otop(tc_fun(_u11629, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5584, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u11631)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u11631), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11631), c_Orderings_Otop__class_Otop(tc_fun(_u11631, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5585, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11632), c_Orderings_Otop__class_Otop(tc_fun(_u11632, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u11632)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u11632), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5586, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u11635, _u11637)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u11635, _u11637), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11635), c_Orderings_Otop__class_Otop(tc_fun(_u11635, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5587, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u11635, _u11637)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u11635, _u11637), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11637), c_Orderings_Otop__class_Otop(tc_fun(_u11637, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5588, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11636), c_Orderings_Otop__class_Otop(tc_fun(_u11636, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11638), c_Orderings_Otop__class_Otop(tc_fun(_u11638, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u11636, _u11638)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u11636, _u11638), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5589, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u11640), c_Orderings_Otop__class_Otop(tc_fun(_u11640, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11639, _u11640)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11639, _u11640), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5590, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11641), c_Orderings_Otop__class_Otop(tc_fun(_u11641, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11642), c_Orderings_Otop__class_Otop(tc_fun(_u11642, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11641, _u11642)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u11641, _u11642), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5591, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11643, _u11644, _u11645, _u11646, _u11647), _u11648)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11643), _u11647)) )).
% 29.00/29.25 cnf(matrix-5592, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11649, tc_HOL_Obool)), _u11650), c_Orderings_Otop__class_Otop(tc_fun(_u11649, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5593, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11651, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11651, tc_HOL_Obool))), _u11652) = c_Orderings_Otop__class_Otop(tc_fun(_u11651, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5594, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11653, tc_HOL_Obool)), _u11654), c_Orderings_Otop__class_Otop(tc_fun(_u11653, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11653, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5595, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11655, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11655, tc_HOL_Obool))), _u11656) = _u11656) )).
% 29.00/29.25 cnf(matrix-5596, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11657, tc_HOL_Obool)), _u11658), c_Orderings_Otop__class_Otop(tc_fun(_u11657, tc_HOL_Obool))) = _u11658) )).
% 29.00/29.25 cnf(matrix-5597, plain, ( ~class_Lattices_Obounded__lattice__top(_u11659) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11659), _u11660), _u11661) != c_Orderings_Otop__class_Otop(_u11659)) | ( _u11660 = c_Orderings_Otop__class_Otop(_u11659)) )).
% 29.00/29.25 cnf(matrix-5598, plain, ( ~class_Lattices_Obounded__lattice__top(_u11659) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11659), _u11660), _u11661) != c_Orderings_Otop__class_Otop(_u11659)) | ( _u11661 = c_Orderings_Otop__class_Otop(_u11659)) )).
% 29.00/29.25 cnf(matrix-5599, plain, ( ~class_Lattices_Obounded__lattice__top(_u11659) | ( _u11660 != c_Orderings_Otop__class_Otop(_u11659)) | ( _u11661 != c_Orderings_Otop__class_Otop(_u11659)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11659), _u11660), _u11661) = c_Orderings_Otop__class_Otop(_u11659)) )).
% 29.00/29.25 cnf(matrix-5600, plain, ( ~class_Lattices_Obounded__lattice__top(_u11662) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11662), _u11663), c_Orderings_Otop__class_Otop(_u11662)) = _u11663) )).
% 29.00/29.25 cnf(matrix-5601, plain, ( ~class_Lattices_Obounded__lattice__top(_u11664) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11664), c_Orderings_Otop__class_Otop(_u11664)), _u11665) = _u11665) )).
% 29.00/29.25 cnf(matrix-5602, plain, ( ~class_Lattices_Obounded__lattice__top(_u11666) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11666), _u11667), c_Orderings_Otop__class_Otop(_u11666)) = c_Orderings_Otop__class_Otop(_u11666)) )).
% 29.00/29.25 cnf(matrix-5603, plain, ( ~class_Lattices_Obounded__lattice__top(_u11668) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11668), c_Orderings_Otop__class_Otop(_u11668)), _u11669) = c_Orderings_Otop__class_Otop(_u11668)) )).
% 29.00/29.25 cnf(matrix-5604, 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))) )).
% 29.00/29.25 cnf(matrix-5605, plain, ( ( _u11670 != hAPP(_u11671, _u11672)) | hBOOL(hAPP(hAPP(c_member(_u11673), _u11670), hAPP(c_Set_Oimage(_u11674, _u11673, _u11671), c_Orderings_Otop__class_Otop(tc_fun(_u11674, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5606, plain, ( hBOOL(hAPP(hAPP(c_member(_u11675), hAPP(_u11676, _u11677)), hAPP(c_Set_Oimage(_u11678, _u11675, _u11676), c_Orderings_Otop__class_Otop(tc_fun(_u11678, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5607, 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))) )).
% 29.00/29.25 cnf(matrix-5608, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11679, tc_HOL_Obool)), _u11680), c_Orderings_Otop__class_Otop(tc_fun(_u11679, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11679, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5609, plain, ( ( hAPP(c_Set_Oimage(_u11681, _u11682, _u11683), c_Orderings_Otop__class_Otop(tc_fun(_u11681, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11682, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11682, _u11684, _u11685), c_Orderings_Otop__class_Otop(tc_fun(_u11682, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11684, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11681, _u11684, hAPP(c_Fun_Ocomp(_u11682, _u11684, _u11681, _u11685), _u11683)), c_Orderings_Otop__class_Otop(tc_fun(_u11681, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11684, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5610, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11686), c_Orderings_Otop__class_Otop(tc_fun(_u11686, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u11686), _u11687) != hAPP(c_Finite__Set_Ocard(_u11686), c_Orderings_Otop__class_Otop(tc_fun(_u11686, tc_HOL_Obool)))) | ( _u11687 = c_Orderings_Otop__class_Otop(tc_fun(_u11686, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5611, plain, ( ~c_Fun_Oinj__on(_u11688, _u11689, _u11690, c_Orderings_Otop__class_Otop(tc_fun(_u11688, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11688, _u11689, _u11690), _u11691) != hAPP(c_Set_Oimage(_u11688, _u11689, _u11690), _u11692)) | ( _u11691 = _u11692) )).
% 29.00/29.25 cnf(matrix-5612, plain, ( ~c_Fun_Oinj__on(_u11688, _u11689, _u11690, c_Orderings_Otop__class_Otop(tc_fun(_u11688, tc_HOL_Obool))) | ( _u11691 != _u11692) | ( hAPP(c_Set_Oimage(_u11688, _u11689, _u11690), _u11691) = hAPP(c_Set_Oimage(_u11688, _u11689, _u11690), _u11692)) )).
% 29.00/29.25 cnf(matrix-5613, plain, ( ~c_Fun_Oinj__on(_u11693, _u11694, _u11695, c_Orderings_Otop__class_Otop(tc_fun(_u11693, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11696, _u11693, _u11697, c_Orderings_Otop__class_Otop(tc_fun(_u11696, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11696, _u11694, hAPP(c_Fun_Ocomp(_u11693, _u11694, _u11696, _u11695), _u11697), c_Orderings_Otop__class_Otop(tc_fun(_u11696, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5614, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11698, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11698, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11698, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5615, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11699, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u11699, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11699, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5616, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), _u11701)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11700, tc_HOL_Obool)), _u11701))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), c_Orderings_Otop__class_Otop(tc_fun(_u11700, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5617, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), _u11701)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), c_Orderings_Otop__class_Otop(tc_fun(_u11700, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11700), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11700, tc_HOL_Obool)), _u11701))) )).
% 29.00/29.25 cnf(matrix-5618, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11702, tc_HOL_Obool)), _u11703), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11702, tc_HOL_Obool)), _u11703)) = c_Orderings_Otop__class_Otop(tc_fun(_u11702, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5619, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11704, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11704, tc_HOL_Obool)), _u11705)), _u11705) = c_Orderings_Otop__class_Otop(tc_fun(_u11704, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5620, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11706, tc_HOL_Obool)), _u11707) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11706, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11706, tc_HOL_Obool))), _u11707)) )).
% 29.00/29.25 cnf(matrix-5621, plain, ( hBOOL(hAPP(hAPP(c_member(_u11708), _u11709), _u11710)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11708, _u11711, _u11712, _u11713, _u11710), _u11714)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11708, _u11711, _u11712, _u11713, hAPP(hAPP(c_Set_Oinsert(_u11708), _u11709), _u11710)), hAPP(hAPP(_u11712, _u11709), _u11714))) )).
% 29.00/29.25 cnf(matrix-5622, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11719, tc_fun(_u11721, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11719, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11721, tc_HOL_Obool), tc_fun(_u11721, tc_HOL_Obool), _u11719), hAPP(c_COMBC(_u11721, tc_fun(_u11721, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11721))), _u11723)), _u11725)) | hBOOL(hAPP(hAPP(c_member(_u11721), _u11725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11719, tc_fun(_u11721, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11719, tc_HOL_Obool))), _u11723))) )).
% 29.00/29.25 cnf(matrix-5623, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11722), _u11726), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11720, tc_fun(_u11722, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11720, tc_HOL_Obool))), _u11724))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11720, tc_fun(_u11722, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11720, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11722, tc_HOL_Obool), tc_fun(_u11722, tc_HOL_Obool), _u11720), hAPP(c_COMBC(_u11722, tc_fun(_u11722, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11722))), _u11724)), _u11726)) )).
% 29.00/29.25 cnf(matrix-5624, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11727), hAPP(c_Set_Oimage(_u11728, _u11727, _u11729), c_Orderings_Otop__class_Otop(tc_fun(_u11728, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11730), hAPP(c_Set_Oimage(_u11728, _u11730, hAPP(hAPP(c_COMBB(_u11727, _u11730, _u11728), _u11731), _u11729)), c_Orderings_Otop__class_Otop(tc_fun(_u11728, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5625, plain, ( ~c_Fun_Oinj__on(_u11732, _u11733, _u11734, c_Orderings_Otop__class_Otop(tc_fun(_u11732, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u11732, _u11733, c_Orderings_Otop__class_Otop(tc_fun(_u11732, tc_HOL_Obool)), _u11734), hAPP(_u11734, _u11735)) = _u11735) )).
% 29.00/29.25 cnf(matrix-5626, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u11736, _u11737)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11736, _u11737), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u11737), c_Orderings_Otop__class_Otop(tc_fun(_u11737, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11736), c_Orderings_Otop__class_Otop(tc_fun(_u11736, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5627, plain, ( ~class_Nat_Osemiring__char__0(_u11738) | c_Fun_Oinj__on(tc_Nat_Onat, _u11738, c_Nat_Osemiring__1__class_Oof__nat(_u11738), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5628, 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))) )).
% 29.00/29.25 cnf(matrix-5629, plain, ( ~c_Fun_Oinj__on(_u11739, _u11740, _u11741, c_Orderings_Otop__class_Otop(tc_fun(_u11739, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11739, tc_fun(_u11742, _u11740), hAPP(hAPP(c_COMBB(_u11740, tc_fun(_u11742, _u11740), _u11739), c_COMBK(_u11740, _u11742)), _u11741), c_Orderings_Otop__class_Otop(tc_fun(_u11739, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5630, plain, ( ~class_Lattices_Oboolean__algebra(_u11743) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11743), c_Orderings_Otop__class_Otop(_u11743)) = c_Orderings_Obot__class_Obot(_u11743)) )).
% 29.00/29.25 cnf(matrix-5631, plain, ( ~class_Lattices_Oboolean__algebra(_u11744) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11744), c_Orderings_Obot__class_Obot(_u11744)) = c_Orderings_Otop__class_Otop(_u11744)) )).
% 29.00/29.25 cnf(matrix-5632, plain, ( ~class_Lattices_Oboolean__algebra(_u11745) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11745), hAPP(c_Groups_Ouminus__class_Ouminus(_u11745), _u11746)), _u11746) = c_Orderings_Otop__class_Otop(_u11745)) )).
% 29.00/29.25 cnf(matrix-5633, plain, ( ~class_Lattices_Oboolean__algebra(_u11747) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11747), _u11748), hAPP(c_Groups_Ouminus__class_Ouminus(_u11747), _u11748)) = c_Orderings_Otop__class_Otop(_u11747)) )).
% 29.00/29.25 cnf(matrix-5634, plain, ( ~c_Fun_Oinj__on(_u11753, _u11754, _u11755, c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11754), _u11756), hAPP(c_Set_Oimage(_u11753, _u11754, _u11755), c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))))) | ( _u11756 = hAPP(_u11755, skolem258(_u11756, _u11755, _u11754, _u11753))) )).
% 29.00/29.25 cnf(matrix-5635, plain, ( ~c_Fun_Oinj__on(_u11753, _u11754, _u11755, c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11754), _u11756), hAPP(c_Set_Oimage(_u11753, _u11754, _u11755), c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))))) | ( _u11756 != hAPP(_u11755, _u11749)) | ( _u11749 = skolem258(_u11756, _u11755, _u11754, _u11753)) )).
% 29.00/29.25 cnf(matrix-5636, plain, ( ~c_Fun_Oinj__on(_u11753, _u11754, _u11755, c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11754), _u11756), hAPP(c_Set_Oimage(_u11753, _u11754, _u11755), c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))))) | ( _u11756 != hAPP(_u11755, _u11752)) | ( _u11756 = hAPP(_u11755, skolem259(_u11756, _u11755, _u11754, _u11753, _u11752))) )).
% 29.00/29.25 cnf(matrix-5637, plain, ( ~c_Fun_Oinj__on(_u11753, _u11754, _u11755, c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11754), _u11756), hAPP(c_Set_Oimage(_u11753, _u11754, _u11755), c_Orderings_Otop__class_Otop(tc_fun(_u11753, tc_HOL_Obool))))) | ( _u11756 != hAPP(_u11755, _u11752)) | ( skolem259(_u11756, _u11755, _u11754, _u11753, _u11752) != _u11752) )).
% 29.00/29.25 cnf(matrix-5638, plain, ( ~c_Fun_Oinj__on(_u11757, _u11758, _u11759, c_Orderings_Otop__class_Otop(tc_fun(_u11757, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11758), hAPP(_u11759, _u11760)), hAPP(c_Set_Oimage(_u11757, _u11758, _u11759), _u11761))) | hBOOL(hAPP(hAPP(c_member(_u11757), _u11760), _u11761)) )).
% 29.00/29.25 cnf(matrix-5639, plain, ( ~c_Fun_Oinj__on(_u11757, _u11758, _u11759, c_Orderings_Otop__class_Otop(tc_fun(_u11757, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11757), _u11760), _u11761)) | hBOOL(hAPP(hAPP(c_member(_u11758), hAPP(_u11759, _u11760)), hAPP(c_Set_Oimage(_u11757, _u11758, _u11759), _u11761))) )).
% 29.00/29.25 cnf(matrix-5640, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11762), c_Orderings_Otop__class_Otop(tc_fun(_u11762, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u11762, _u11762, _u11763), c_Orderings_Otop__class_Otop(tc_fun(_u11762, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11762, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11762, _u11762, _u11763, c_Orderings_Otop__class_Otop(tc_fun(_u11762, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5641, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11764), c_Orderings_Otop__class_Otop(tc_fun(_u11764, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u11764, _u11764, _u11765, c_Orderings_Otop__class_Otop(tc_fun(_u11764, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11764, _u11764, _u11765), c_Orderings_Otop__class_Otop(tc_fun(_u11764, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11764, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5642, plain, ( ~c_Fun_Oinj__on(_u11766, _u11767, _u11768, c_Orderings_Otop__class_Otop(tc_fun(_u11766, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11767, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11766, _u11767, _u11768), _u11769)), hAPP(c_Set_Oimage(_u11766, _u11767, _u11768), _u11770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11766, tc_HOL_Obool)), _u11769), _u11770)) )).
% 29.00/29.25 cnf(matrix-5643, plain, ( ~c_Fun_Oinj__on(_u11766, _u11767, _u11768, c_Orderings_Otop__class_Otop(tc_fun(_u11766, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11766, tc_HOL_Obool)), _u11769), _u11770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11767, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11766, _u11767, _u11768), _u11769)), hAPP(c_Set_Oimage(_u11766, _u11767, _u11768), _u11770))) )).
% 29.00/29.25 cnf(matrix-5644, plain, ( ~c_Fun_Oinj__on(_u11771, _u11772, _u11773, c_Orderings_Otop__class_Otop(tc_fun(_u11771, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11771, _u11772, _u11773), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11771, tc_HOL_Obool)), _u11774), _u11775)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11772, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11771, _u11772, _u11773), _u11774)), hAPP(c_Set_Oimage(_u11771, _u11772, _u11773), _u11775))) )).
% 29.00/29.25 cnf(matrix-5645, plain, ( ~c_Fun_Oinj__on(_u11776, _u11777, _u11778, c_Orderings_Otop__class_Otop(tc_fun(_u11776, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11776, _u11777, _u11778), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11776, tc_HOL_Obool)), _u11779), _u11780)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11777, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11776, _u11777, _u11778), _u11779)), hAPP(c_Set_Oimage(_u11776, _u11777, _u11778), _u11780))) )).
% 29.00/29.25 cnf(matrix-5646, plain, ( ( hAPP(c_Set_Oimage(_u11781, _u11782, _u11783), c_Orderings_Otop__class_Otop(tc_fun(_u11781, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11782, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11782, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11782, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11781, _u11782, _u11783), _u11784))), hAPP(c_Set_Oimage(_u11781, _u11782, _u11783), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11781, tc_HOL_Obool)), _u11784)))) )).
% 29.00/29.25 cnf(matrix-5647, plain, ( ~class_Groups_Oab__semigroup__mult(_u11785) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11785, _u11785, c_Groups_Otimes__class_Otimes(_u11785), _u11786, _u11787), _u11788)) | hBOOL(hAPP(hAPP(c_member(_u11785), _u11786), _u11787)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11785, _u11785, c_Groups_Otimes__class_Otimes(_u11785), _u11789, hAPP(hAPP(c_Set_Oinsert(_u11785), _u11786), _u11787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11785), _u11789), _u11788))) )).
% 29.00/29.25 cnf(matrix-5648, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11790, 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(_u11790, tc_HOL_Obool)), tc_fun(_u11790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u11790, tc_HOL_Obool)), tc_fun(_u11790, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11790, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u11791)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11790, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11791)) )).
% 29.00/29.25 cnf(matrix-5649, plain, ( c_Fun_Oinj__on(_u11792, tc_fun(_u11792, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11792, tc_fun(_u11792, tc_HOL_Obool), tc_fun(_u11792, tc_HOL_Obool)), c_Set_Oinsert(_u11792)), c_Orderings_Obot__class_Obot(tc_fun(_u11792, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11792, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5650, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11793), c_Orderings_Otop__class_Otop(tc_fun(_u11793, 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(_u11793), c_Orderings_Otop__class_Otop(tc_fun(_u11793, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5651, 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)))) )).
% 29.00/29.25 cnf(matrix-5652, plain, ( ~c_Fun_Oinj__on(_u11794, _u11795, _u11796, c_Orderings_Otop__class_Otop(tc_fun(_u11794, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11795, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11794, _u11795, _u11796), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11794, tc_HOL_Obool)), _u11797))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11795, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11794, _u11795, _u11796), _u11797)))) )).
% 29.00/29.25 cnf(matrix-5653, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11798, _u11799, _u11800, _u11801, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11798, tc_HOL_Obool)), _u11802), hAPP(hAPP(c_Set_Oinsert(_u11798), _u11803), c_Orderings_Obot__class_Obot(tc_fun(_u11798, tc_HOL_Obool))))), _u11804)) | ~hBOOL(hAPP(hAPP(c_member(_u11798), _u11803), _u11802)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11798, _u11799, _u11800, _u11801, _u11802), hAPP(hAPP(_u11800, _u11803), _u11804))) )).
% 29.00/29.25 cnf(matrix-5654, 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)))) )).
% 29.00/29.25 cnf(matrix-5655, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11811, tc_fun(_u11813, tc_fun(_u11815, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11811, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_fun(_u11813, tc_fun(_u11815, tc_HOL_Obool)), _u11811), hAPP(c_COMBC(_u11813, tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_fun(_u11815, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11815, tc_fun(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_fun(_u11815, tc_HOL_Obool)), _u11813), c_COMBC(_u11815, tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11815, tc_prod(_u11813, _u11815)), tc_fun(_u11815, tc_fun(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_HOL_Obool)), _u11813), hAPP(c_COMBB(tc_prod(_u11813, _u11815), tc_fun(tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool), tc_HOL_Obool), _u11815), c_member(tc_prod(_u11813, _u11815)))), c_Product__Type_OPair(_u11813, _u11815))))), _u11817)), _u11819), _u11821)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11813, _u11815)), hAPP(hAPP(c_Product__Type_OPair(_u11813, _u11815), _u11819), _u11821)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11811, tc_fun(tc_prod(_u11813, _u11815), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11811, tc_HOL_Obool))), _u11817))) )).
% 29.00/29.25 cnf(matrix-5656, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11814, _u11816)), hAPP(hAPP(c_Product__Type_OPair(_u11814, _u11816), _u11820), _u11822)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11812, tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11812, tc_HOL_Obool))), _u11818))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11812, tc_fun(_u11814, tc_fun(_u11816, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11812, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_fun(_u11814, tc_fun(_u11816, tc_HOL_Obool)), _u11812), hAPP(c_COMBC(_u11814, tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_fun(_u11816, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11816, tc_fun(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_fun(_u11816, tc_HOL_Obool)), _u11814), c_COMBC(_u11816, tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11816, tc_prod(_u11814, _u11816)), tc_fun(_u11816, tc_fun(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_HOL_Obool)), _u11814), hAPP(c_COMBB(tc_prod(_u11814, _u11816), tc_fun(tc_fun(tc_prod(_u11814, _u11816), tc_HOL_Obool), tc_HOL_Obool), _u11816), c_member(tc_prod(_u11814, _u11816)))), c_Product__Type_OPair(_u11814, _u11816))))), _u11818)), _u11820), _u11822)) )).
% 29.00/29.25 cnf(matrix-5657, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11823, _u11823, _u11824, _u11825, _u11826), _u11827)) | hBOOL(hAPP(hAPP(c_member(_u11823), _u11825), _u11826)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11823, _u11824, hAPP(hAPP(c_Set_Oinsert(_u11823), _u11825), _u11826)), _u11827)) )).
% 29.00/29.25 cnf(matrix-5658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11829, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11829, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem260(_u11832, _u11831, _u11830, _u11829))), _u11830)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11829, 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), skolem260(_u11832, _u11831, _u11830, _u11829)), _u11831))), _u11832))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11829, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11829, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11830)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11829, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11832))) )).
% 29.00/29.25 cnf(matrix-5659, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11834, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem261(_u11837, _u11836, _u11835, _u11834))), _u11835) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11834, 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), skolem261(_u11837, _u11836, _u11835, _u11834)), _u11836))), _u11837)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11834, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11835) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11834, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11837)) )).
% 29.00/29.25 cnf(matrix-5660, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u11838, tc_HOL_Obool)), _u11839)) )).
% 29.00/29.25 cnf(matrix-5661, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11840, _u11841, c_Orderings_Obot__class_Obot(tc_fun(_u11840, tc_HOL_Obool))), _u11842)) )).
% 29.00/29.25 cnf(matrix-5662, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11843, _u11844, _u11845), _u11846)) | ( _u11845 != c_Orderings_Obot__class_Obot(tc_fun(_u11843, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5663, plain, ( ( _u11855 = _u11857) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11851, _u11853, hAPP(hAPP(c_Set_Oinsert(_u11851), _u11855), c_Orderings_Obot__class_Obot(tc_fun(_u11851, tc_HOL_Obool)))), _u11857)) )).
% 29.00/29.25 cnf(matrix-5664, plain, ( ( _u11856 != _u11858) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11852, _u11854, hAPP(hAPP(c_Set_Oinsert(_u11852), _u11856), c_Orderings_Obot__class_Obot(tc_fun(_u11852, tc_HOL_Obool)))), _u11858)) )).
% 29.00/29.25 cnf(matrix-5665, 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)) )).
% 29.00/29.25 cnf(matrix-5666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11860, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11860, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem262(_u11862, _u11861, _u11860))), _u11861)), _u11862)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11860, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11860, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11861)), _u11862)) )).
% 29.00/29.25 cnf(matrix-5667, plain, ( ~c_Equiv__Relations_Oequiv(_u11865, c_Orderings_Otop__class_Otop(tc_fun(_u11865, tc_HOL_Obool)), _u11867) | c_Equiv__Relations_Oequivp(_u11865, hAPP(hAPP(c_COMBC(_u11865, tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_fun(_u11865, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11865, tc_fun(tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_fun(_u11865, tc_HOL_Obool)), _u11865), c_COMBC(_u11865, tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11865, tc_prod(_u11865, _u11865)), tc_fun(_u11865, tc_fun(tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_HOL_Obool)), _u11865), hAPP(c_COMBB(tc_prod(_u11865, _u11865), tc_fun(tc_fun(tc_prod(_u11865, _u11865), tc_HOL_Obool), tc_HOL_Obool), _u11865), c_member(tc_prod(_u11865, _u11865)))), c_Product__Type_OPair(_u11865, _u11865)))), _u11867)) )).
% 29.00/29.25 cnf(matrix-5668, plain, ( ~c_Equiv__Relations_Oequivp(_u11866, hAPP(hAPP(c_COMBC(_u11866, tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_fun(_u11866, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11866, tc_fun(tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_fun(_u11866, tc_HOL_Obool)), _u11866), c_COMBC(_u11866, tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11866, tc_prod(_u11866, _u11866)), tc_fun(_u11866, tc_fun(tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_HOL_Obool)), _u11866), hAPP(c_COMBB(tc_prod(_u11866, _u11866), tc_fun(tc_fun(tc_prod(_u11866, _u11866), tc_HOL_Obool), tc_HOL_Obool), _u11866), c_member(tc_prod(_u11866, _u11866)))), c_Product__Type_OPair(_u11866, _u11866)))), _u11868)) | c_Equiv__Relations_Oequiv(_u11866, c_Orderings_Otop__class_Otop(tc_fun(_u11866, tc_HOL_Obool)), _u11868) )).
% 29.00/29.25 cnf(matrix-5669, plain, ( c_Equiv__Relations_Oequivp(_u11869, c_fequal) )).
% 29.00/29.25 cnf(matrix-5670, plain, ( ~c_Equiv__Relations_Oequivp(_u11884, _u11886) | ~hBOOL(hAPP(hAPP(_u11886, _u11878), _u11876)) | ( hAPP(_u11886, _u11878) = hAPP(_u11886, _u11876)) )).
% 29.00/29.25 cnf(matrix-5671, plain, ( ~c_Equiv__Relations_Oequivp(_u11884, _u11886) | ( hAPP(_u11886, _u11879) != hAPP(_u11886, _u11877)) | hBOOL(hAPP(hAPP(_u11886, _u11879), _u11877)) )).
% 29.00/29.25 cnf(matrix-5672, plain, ( c_Equiv__Relations_Oequivp(_u11885, _u11887) | hBOOL(hAPP(hAPP(_u11887, skolem263(_u11887)), skolem264(_u11887))) | ( hAPP(_u11887, skolem265(_u11887)) = hAPP(_u11887, skolem266(_u11887))) )).
% 29.00/29.25 cnf(matrix-5673, plain, ( c_Equiv__Relations_Oequivp(_u11885, _u11887) | hBOOL(hAPP(hAPP(_u11887, skolem263(_u11887)), skolem264(_u11887))) | ~hBOOL(hAPP(hAPP(_u11887, skolem265(_u11887)), skolem266(_u11887))) )).
% 29.00/29.25 cnf(matrix-5674, plain, ( c_Equiv__Relations_Oequivp(_u11885, _u11887) | ( hAPP(_u11887, skolem263(_u11887)) != hAPP(_u11887, skolem264(_u11887))) | ( hAPP(_u11887, skolem265(_u11887)) = hAPP(_u11887, skolem266(_u11887))) )).
% 29.00/29.25 cnf(matrix-5675, plain, ( c_Equiv__Relations_Oequivp(_u11885, _u11887) | ( hAPP(_u11887, skolem263(_u11887)) != hAPP(_u11887, skolem264(_u11887))) | ~hBOOL(hAPP(hAPP(_u11887, skolem265(_u11887)), skolem266(_u11887))) )).
% 29.00/29.25 cnf(matrix-5676, plain, ( hBOOL(hAPP(hAPP(_u11889, _u11890), _u11890)) | ~c_Equiv__Relations_Oequivp(_u11888, _u11889) )).
% 29.00/29.25 cnf(matrix-5677, plain, ( ~hBOOL(hAPP(hAPP(_u11892, _u11893), _u11894)) | hBOOL(hAPP(hAPP(_u11892, _u11894), _u11893)) | ~c_Equiv__Relations_Oequivp(_u11891, _u11892) )).
% 29.00/29.25 cnf(matrix-5678, plain, ( ~hBOOL(hAPP(hAPP(_u11896, _u11897), _u11898)) | ~hBOOL(hAPP(hAPP(_u11896, _u11898), _u11899)) | hBOOL(hAPP(hAPP(_u11896, _u11897), _u11899)) | ~c_Equiv__Relations_Oequivp(_u11895, _u11896) )).
% 29.00/29.25 cnf(matrix-5679, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u11900)), c_Int_OInteg)) )).
% 29.00/29.25 cnf(matrix-5680, 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) )).
% 29.00/29.25 cnf(matrix-5681, plain, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11909), _u11913)) )).
% 29.00/29.25 cnf(matrix-5682, plain, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11909), _u11915)) )).
% 29.00/29.25 cnf(matrix-5683, plain, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | ( _u11915 != c_Orderings_Obot__class_Obot(tc_fun(_u11909, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5684, plain, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | ~hBOOL(hAPP(hAPP(c_member(_u11909), _u11902), _u11913)) | hBOOL(hAPP(hAPP(c_member(_u11909), skolem267(_u11915, _u11913, _u11911, _u11909, _u11902)), _u11915)) )).
% 29.00/29.25 cnf(matrix-5685, plain, ( ~c_Wellfounded_Omax__extp(_u11909, _u11911, _u11913, _u11915) | ~hBOOL(hAPP(hAPP(c_member(_u11909), _u11902), _u11913)) | hBOOL(hAPP(hAPP(_u11911, _u11902), skolem267(_u11915, _u11913, _u11911, _u11909, _u11902))) )).
% 29.00/29.25 cnf(matrix-5686, plain, ( c_Wellfounded_Omax__extp(_u11910, _u11912, _u11914, _u11916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11910), _u11914)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11910), _u11916)) | ( _u11916 = c_Orderings_Obot__class_Obot(tc_fun(_u11910, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11910), skolem268(_u11916, _u11914, _u11912, _u11910)), _u11914)) )).
% 29.00/29.25 cnf(matrix-5687, plain, ( c_Wellfounded_Omax__extp(_u11910, _u11912, _u11914, _u11916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11910), _u11914)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11910), _u11916)) | ( _u11916 = c_Orderings_Obot__class_Obot(tc_fun(_u11910, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11910), _u11903), _u11916)) | ~hBOOL(hAPP(hAPP(_u11912, skolem268(_u11916, _u11914, _u11912, _u11910)), _u11903)) )).
% 29.00/29.25 cnf(matrix-5688, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11920)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11921)) | ( _u11921 = c_Orderings_Obot__class_Obot(tc_fun(_u11919, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11919, tc_HOL_Obool), tc_fun(_u11919, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11919, tc_HOL_Obool), tc_fun(_u11919, tc_HOL_Obool)), _u11920), _u11921)), c_Wellfounded_Omax__ext(_u11919, _u11922))) | hBOOL(hAPP(hAPP(c_member(_u11919), skolem269(_u11922, _u11921, _u11920, _u11919)), _u11920)) )).
% 29.00/29.25 cnf(matrix-5689, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11920)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11919), _u11921)) | ( _u11921 = c_Orderings_Obot__class_Obot(tc_fun(_u11919, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11919, tc_HOL_Obool), tc_fun(_u11919, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11919, tc_HOL_Obool), tc_fun(_u11919, tc_HOL_Obool)), _u11920), _u11921)), c_Wellfounded_Omax__ext(_u11919, _u11922))) | ~hBOOL(hAPP(hAPP(c_member(_u11919), _u11917), _u11921)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11919, _u11919)), hAPP(hAPP(c_Product__Type_OPair(_u11919, _u11919), skolem269(_u11922, _u11921, _u11920, _u11919)), _u11917)), _u11922)) )).
% 29.00/29.25 cnf(matrix-5690, plain, ( ~c_Typedef_Otype__definition(_u11923, _u11924, _u11925, _u11926, _u11927) | ( hAPP(c_Set_Oimage(_u11923, _u11924, _u11925), c_Orderings_Otop__class_Otop(tc_fun(_u11923, tc_HOL_Obool))) = _u11927) )).
% 29.00/29.25 cnf(matrix-5691, plain, ( ~c_Typedef_Otype__definition(_u11928, _u11929, _u11930, _u11931, _u11932) | ( hAPP(c_Set_Oimage(_u11929, _u11928, _u11931), _u11932) = c_Orderings_Otop__class_Otop(tc_fun(_u11928, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5692, plain, ( hBOOL(hAPP(hAPP(c_member(_u11934), hAPP(_u11935, _u11938)), _u11937)) | ~c_Typedef_Otype__definition(_u11933, _u11934, _u11935, _u11936, _u11937) )).
% 29.00/29.25 cnf(matrix-5693, plain, ( ~c_Typedef_Otype__definition(_u11939, _u11940, _u11941, _u11942, _u11943) | ( hAPP(_u11941, _u11944) != hAPP(_u11941, _u11945)) | ( _u11944 = _u11945) )).
% 29.00/29.25 cnf(matrix-5694, plain, ( ~c_Typedef_Otype__definition(_u11939, _u11940, _u11941, _u11942, _u11943) | ( _u11944 != _u11945) | ( hAPP(_u11941, _u11944) = hAPP(_u11941, _u11945)) )).
% 29.00/29.25 cnf(matrix-5695, plain, ( ( hAPP(_u11949, hAPP(_u11948, _u11951)) = _u11951) | ~c_Typedef_Otype__definition(_u11946, _u11947, _u11948, _u11949, _u11950) )).
% 29.00/29.25 cnf(matrix-5696, plain, ( ~c_Typedef_Otype__definition(_u11952, _u11953, _u11954, _u11955, _u11956) | ~hBOOL(hAPP(hAPP(c_member(_u11953), _u11957), _u11956)) | ~hBOOL(hAPP(hAPP(c_member(_u11953), _u11958), _u11956)) | ( hAPP(_u11955, _u11957) != hAPP(_u11955, _u11958)) | ( _u11957 = _u11958) )).
% 29.00/29.25 cnf(matrix-5697, plain, ( ~c_Typedef_Otype__definition(_u11952, _u11953, _u11954, _u11955, _u11956) | ~hBOOL(hAPP(hAPP(c_member(_u11953), _u11957), _u11956)) | ~hBOOL(hAPP(hAPP(c_member(_u11953), _u11958), _u11956)) | ( _u11957 != _u11958) | ( hAPP(_u11955, _u11957) = hAPP(_u11955, _u11958)) )).
% 29.00/29.25 cnf(matrix-5698, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11960), _u11964), _u11963)) | ( hAPP(_u11961, hAPP(_u11962, _u11964)) = _u11964) | ~c_Typedef_Otype__definition(_u11959, _u11960, _u11961, _u11962, _u11963) )).
% 29.00/29.25 cnf(matrix-5699, plain, ( ( c_Nitpick_Ozero__frac(_u11965) = c_Nitpick_OAbs__Frac(_u11965, 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)))) )).
% 29.00/29.25 cnf(matrix-5700, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11975, _u11977, hAPP(hAPP(c_Set_Oinsert(_u11975), _u11979), _u11981)), _u11983)) | ( hAPP(hAPP(c_Set_Oinsert(_u11975), _u11979), _u11981) = hAPP(hAPP(c_Set_Oinsert(_u11975), skolem270(_u11983, _u11981, _u11979, _u11977, _u11975)), skolem271(_u11983, _u11981, _u11979, _u11977, _u11975))) )).
% 29.00/29.25 cnf(matrix-5701, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11975, _u11977, hAPP(hAPP(c_Set_Oinsert(_u11975), _u11979), _u11981)), _u11983)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11975, _u11975, _u11977, skolem270(_u11983, _u11981, _u11979, _u11977, _u11975), skolem271(_u11983, _u11981, _u11979, _u11977, _u11975)), _u11983)) )).
% 29.00/29.25 cnf(matrix-5702, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11975, _u11977, hAPP(hAPP(c_Set_Oinsert(_u11975), _u11979), _u11981)), _u11983)) | ~hBOOL(hAPP(hAPP(c_member(_u11975), skolem270(_u11983, _u11981, _u11979, _u11977, _u11975)), skolem271(_u11983, _u11981, _u11979, _u11977, _u11975))) )).
% 29.00/29.25 cnf(matrix-5703, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u11976), _u11980), _u11982) != hAPP(hAPP(c_Set_Oinsert(_u11976), _u11969), _u11968)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11976, _u11976, _u11978, _u11969, _u11968), _u11984)) | hBOOL(hAPP(hAPP(c_member(_u11976), _u11969), _u11968)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11976, _u11978, hAPP(hAPP(c_Set_Oinsert(_u11976), _u11980), _u11982)), _u11984)) )).
% 29.00/29.25 cnf(matrix-5704, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11987, _u11988, hAPP(hAPP(c_Set_Oinsert(_u11987), _u11989), _u11990)), _u11991)) | ( hAPP(hAPP(c_Set_Oinsert(_u11987), _u11989), _u11990) = hAPP(hAPP(c_Set_Oinsert(_u11987), skolem272(_u11991, _u11990, _u11989, _u11988, _u11987)), skolem273(_u11991, _u11990, _u11989, _u11988, _u11987))) )).
% 29.00/29.25 cnf(matrix-5705, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11987, _u11988, hAPP(hAPP(c_Set_Oinsert(_u11987), _u11989), _u11990)), _u11991)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u11987, _u11987, _u11988, skolem272(_u11991, _u11990, _u11989, _u11988, _u11987), skolem273(_u11991, _u11990, _u11989, _u11988, _u11987)), _u11991)) )).
% 29.00/29.25 cnf(matrix-5706, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u11987, _u11988, hAPP(hAPP(c_Set_Oinsert(_u11987), _u11989), _u11990)), _u11991)) | ~hBOOL(hAPP(hAPP(c_member(_u11987), skolem272(_u11991, _u11990, _u11989, _u11988, _u11987)), skolem273(_u11991, _u11990, _u11989, _u11988, _u11987))) )).
% 29.00/29.25 cnf(matrix-5707, plain, ( ( c_Nitpick_Oone__frac(_u11992) = c_Nitpick_OAbs__Frac(_u11992, 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)))) )).
% 29.00/29.25 cnf(matrix-5708, plain, ( ( c_Nitpick_Onumber__of__frac(_u11993, _u11994) = c_Nitpick_OAbs__Frac(_u11993, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11994), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 29.00/29.25 cnf(matrix-5709, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u11995), _u11996), _u11997) = c_Nitpick_OAbs__Frac(_u11995, c_Nitpick_Onorm__frac(_u11996, _u11997))) )).
% 29.00/29.25 cnf(matrix-5710, plain, ( ( c_Set_Othe__elem(_u11998, _u11999) = c_HOL_OThe(_u11998, hAPP(hAPP(c_COMBB(tc_fun(_u11998, tc_HOL_Obool), tc_HOL_Obool, _u11998), hAPP(c_fequal, _u11999)), hAPP(hAPP(c_COMBC(_u11998, tc_fun(_u11998, tc_HOL_Obool), tc_fun(_u11998, tc_HOL_Obool)), c_Set_Oinsert(_u11998)), c_Orderings_Obot__class_Obot(tc_fun(_u11998, tc_HOL_Obool)))))) )).
% 29.00/29.25 cnf(matrix-5711, plain, ( ~class_Groups_Oab__semigroup__mult(_u12000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12000), _u12001)) | ( _u12001 = c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12000), _u12002)) | ( _u12002 = c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12000, tc_HOL_Obool)), _u12001), _u12002) != c_Orderings_Obot__class_Obot(tc_fun(_u12000, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u12000, c_Groups_Otimes__class_Otimes(_u12000)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12000, tc_HOL_Obool)), _u12001), _u12002)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12000), hAPP(c_Finite__Set_Ofold1(_u12000, c_Groups_Otimes__class_Otimes(_u12000)), _u12001)), hAPP(c_Finite__Set_Ofold1(_u12000, c_Groups_Otimes__class_Otimes(_u12000)), _u12002))) )).
% 29.00/29.25 cnf(matrix-5712, plain, ( ~class_Orderings_Olinorder(_u12003) | ( _u12004 = c_Orderings_Obot__class_Obot(tc_fun(_u12003, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12003, tc_HOL_Obool)), _u12004), _u12005)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12003), _u12005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12003), hAPP(c_Finite__Set_Ofold1(_u12003, c_Orderings_Oord__class_Omin(_u12003)), _u12005)), hAPP(c_Finite__Set_Ofold1(_u12003, c_Orderings_Oord__class_Omin(_u12003)), _u12004))) )).
% 29.00/29.25 cnf(matrix-5713, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u12006, _u12007), _u12008) = c_HOL_OThe(_u12006, c_Finite__Set_Ofold1Set(_u12006, _u12007, _u12008))) )).
% 29.00/29.25 cnf(matrix-5714, plain, ( ( _u12009 != c_Finite__Set_Ofold1(_u12010, _u12011)) | ( hAPP(_u12009, hAPP(hAPP(c_Set_Oinsert(_u12010), _u12012), c_Orderings_Obot__class_Obot(tc_fun(_u12010, tc_HOL_Obool)))) = _u12012) )).
% 29.00/29.25 cnf(matrix-5715, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u12013, _u12014), hAPP(hAPP(c_Set_Oinsert(_u12013), _u12015), c_Orderings_Obot__class_Obot(tc_fun(_u12013, tc_HOL_Obool)))) = _u12015) )).
% 29.00/29.25 cnf(matrix-5716, plain, ( ~c_Finite__Set_Ofolding__one(_u12016, _u12017, _u12018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12016), _u12019)) | ( hAPP(_u12018, _u12019) = hAPP(c_Finite__Set_Ofold1(_u12016, _u12017), _u12019)) )).
% 29.00/29.25 cnf(matrix-5717, plain, ( ( c_HOL_OThe(tc_prod(_u12020, _u12021), hAPP(c_Product__Type_Oprod_Oprod__case(_u12020, _u12021, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12020, tc_fun(_u12021, tc_HOL_Obool), tc_fun(_u12021, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12021, tc_HOL_Obool), tc_fun(_u12021, tc_HOL_Obool)), _u12020), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12021)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12020), c_fconj), hAPP(c_fequal, _u12022)))), hAPP(c_fequal, _u12023)))) = hAPP(hAPP(c_Product__Type_OPair(_u12020, _u12021), _u12022), _u12023)) )).
% 29.00/29.25 cnf(matrix-5718, plain, ( ( c_HOL_OThe(tc_prod(_u12024, _u12025), _u12026) = c_HOL_OThe(tc_prod(_u12024, _u12025), hAPP(c_Product__Type_Oprod_Oprod__case(_u12024, _u12025, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12025, tc_prod(_u12024, _u12025)), tc_fun(_u12025, tc_HOL_Obool), _u12024), hAPP(c_COMBB(tc_prod(_u12024, _u12025), tc_HOL_Obool, _u12025), _u12026)), c_Product__Type_OPair(_u12024, _u12025))))) )).
% 29.00/29.25 cnf(matrix-5719, plain, ( ~class_Lattices_Olattice(_u12027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12027), _u12028)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u12027, _u12028) = hAPP(c_Finite__Set_Ofold1(_u12027, c_Lattices_Osemilattice__sup__class_Osup(_u12027)), _u12028)) )).
% 29.00/29.25 cnf(matrix-5720, plain, ( ~class_Lattices_Olattice(_u12029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12029), _u12030)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u12029, _u12030) = hAPP(c_Finite__Set_Ofold1(_u12029, c_Lattices_Osemilattice__inf__class_Oinf(_u12029)), _u12030)) )).
% 29.00/29.25 cnf(matrix-5721, plain, ( ~class_Orderings_Olinorder(_u12031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12031), _u12032)) | ( c_Big__Operators_Olinorder__class_OMin(_u12031, _u12032) = hAPP(c_Finite__Set_Ofold1(_u12031, c_Orderings_Oord__class_Omin(_u12031)), _u12032)) )).
% 29.00/29.25 cnf(matrix-5722, plain, ( ~class_Orderings_Olinorder(_u12033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12033), _u12034)) | ( c_Big__Operators_Olinorder__class_OMax(_u12033, _u12034) = hAPP(c_Finite__Set_Ofold1(_u12033, c_Orderings_Oord__class_Omax(_u12033)), _u12034)) )).
% 29.00/29.25 cnf(matrix-5723, plain, ( ~class_Orderings_Olinorder(_u12035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12035), _u12036)) | ( c_Big__Operators_Olattice_OInf__fin(_u12035, c_Orderings_Oord__class_Omin(_u12035), _u12036) = hAPP(c_Finite__Set_Ofold1(_u12035, c_Orderings_Oord__class_Omin(_u12035)), _u12036)) )).
% 29.00/29.25 cnf(matrix-5724, plain, ( ~class_Orderings_Olinorder(_u12037) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12037), _u12038)) | ( c_Big__Operators_Olattice_OSup__fin(_u12037, c_Orderings_Oord__class_Omax(_u12037), _u12038) = hAPP(c_Finite__Set_Ofold1(_u12037, c_Orderings_Oord__class_Omax(_u12037)), _u12038)) )).
% 29.00/29.25 cnf(matrix-5725, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u12039, _u12040, _u12041, _u12042), _u12043) = c_HOL_OThe(_u12039, hAPP(hAPP(c_COMBS(_u12039, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12039), c_fconj), hAPP(hAPP(c_COMBC(_u12039, tc_fun(_u12039, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12039)), _u12041))), hAPP(hAPP(c_COMBC(_u12039, _u12040, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12040, tc_fun(_u12040, tc_HOL_Obool), _u12039), c_fequal), _u12042)), _u12043)))) )).
% 29.00/29.25 cnf(matrix-5726, plain, ( ( c_Divides_Odivmod__nat(_u12044, _u12045) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u12044, _u12045))) )).
% 29.00/29.25 cnf(matrix-5727, plain, ( ~class_Lattices_Osemilattice__inf(_u12046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12046), _u12047)) | ~hBOOL(hAPP(hAPP(c_member(_u12046), _u12048), _u12047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12046), hAPP(c_Finite__Set_Ofold1(_u12046, c_Lattices_Osemilattice__inf__class_Oinf(_u12046)), _u12047)), _u12048)) )).
% 29.00/29.25 cnf(matrix-5728, plain, ( ~class_Lattices_Osemilattice__inf(_u12051) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12051), _u12052)) | ( _u12052 = c_Orderings_Obot__class_Obot(tc_fun(_u12051, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), hAPP(c_Finite__Set_Ofold1(_u12051, c_Lattices_Osemilattice__inf__class_Oinf(_u12051)), _u12052))) | ~hBOOL(hAPP(hAPP(c_member(_u12051), _u12049), _u12052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), _u12049)) )).
% 29.00/29.25 cnf(matrix-5729, plain, ( ~class_Lattices_Osemilattice__inf(_u12051) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12051), _u12052)) | ( _u12052 = c_Orderings_Obot__class_Obot(tc_fun(_u12051, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), hAPP(c_Finite__Set_Ofold1(_u12051, c_Lattices_Osemilattice__inf__class_Oinf(_u12051)), _u12052))) | hBOOL(hAPP(hAPP(c_member(_u12051), skolem274(_u12053, _u12052, _u12051)), _u12052)) )).
% 29.00/29.25 cnf(matrix-5730, plain, ( ~class_Lattices_Osemilattice__inf(_u12051) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12051), _u12052)) | ( _u12052 = c_Orderings_Obot__class_Obot(tc_fun(_u12051, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), hAPP(c_Finite__Set_Ofold1(_u12051, c_Lattices_Osemilattice__inf__class_Oinf(_u12051)), _u12052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12051), _u12053), skolem274(_u12053, _u12052, _u12051))) )).
% 29.00/29.25 cnf(matrix-5731, plain, ( ~class_Orderings_Olinorder(_u12054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12054), _u12055)) | ~hBOOL(hAPP(hAPP(c_member(_u12054), _u12056), _u12055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12054), hAPP(c_Finite__Set_Ofold1(_u12054, c_Orderings_Oord__class_Omin(_u12054)), _u12055)), _u12056)) )).
% 29.00/29.25 cnf(matrix-5732, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12057) | ( _u12058 = c_Orderings_Obot__class_Obot(tc_fun(_u12057, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12057), _u12058)) | ( hAPP(c_Finite__Set_Ofold1(_u12057, c_Groups_Otimes__class_Otimes(_u12057)), hAPP(hAPP(c_Set_Oinsert(_u12057), _u12059), _u12058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12057), _u12059), hAPP(c_Finite__Set_Ofold1(_u12057, c_Groups_Otimes__class_Otimes(_u12057)), _u12058))) )).
% 29.00/29.25 cnf(matrix-5733, plain, ( ~class_Orderings_Olinorder(_u12062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12062), _u12063)) | ( _u12063 = c_Orderings_Obot__class_Obot(tc_fun(_u12062, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), hAPP(c_Finite__Set_Ofold1(_u12062, c_Orderings_Oord__class_Omin(_u12062)), _u12063)), _u12064)) | hBOOL(hAPP(hAPP(c_member(_u12062), skolem275(_u12064, _u12063, _u12062)), _u12063)) )).
% 29.00/29.25 cnf(matrix-5734, plain, ( ~class_Orderings_Olinorder(_u12062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12062), _u12063)) | ( _u12063 = c_Orderings_Obot__class_Obot(tc_fun(_u12062, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), hAPP(c_Finite__Set_Ofold1(_u12062, c_Orderings_Oord__class_Omin(_u12062)), _u12063)), _u12064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), skolem275(_u12064, _u12063, _u12062)), _u12064)) )).
% 29.00/29.25 cnf(matrix-5735, plain, ( ~class_Orderings_Olinorder(_u12062) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12062), _u12063)) | ( _u12063 = c_Orderings_Obot__class_Obot(tc_fun(_u12062, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12062), _u12061), _u12063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), _u12061), _u12064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12062), hAPP(c_Finite__Set_Ofold1(_u12062, c_Orderings_Oord__class_Omin(_u12062)), _u12063)), _u12064)) )).
% 29.00/29.25 cnf(matrix-5736, plain, ( ~class_Orderings_Olinorder(_u12067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12067), _u12068)) | ( _u12068 = c_Orderings_Obot__class_Obot(tc_fun(_u12067, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), hAPP(c_Finite__Set_Ofold1(_u12067, c_Orderings_Oord__class_Omin(_u12067)), _u12068))) | ~hBOOL(hAPP(hAPP(c_member(_u12067), _u12065), _u12068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), _u12065)) )).
% 29.00/29.25 cnf(matrix-5737, plain, ( ~class_Orderings_Olinorder(_u12067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12067), _u12068)) | ( _u12068 = c_Orderings_Obot__class_Obot(tc_fun(_u12067, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), hAPP(c_Finite__Set_Ofold1(_u12067, c_Orderings_Oord__class_Omin(_u12067)), _u12068))) | hBOOL(hAPP(hAPP(c_member(_u12067), skolem276(_u12069, _u12068, _u12067)), _u12068)) )).
% 29.00/29.25 cnf(matrix-5738, plain, ( ~class_Orderings_Olinorder(_u12067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12067), _u12068)) | ( _u12068 = c_Orderings_Obot__class_Obot(tc_fun(_u12067, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), hAPP(c_Finite__Set_Ofold1(_u12067, c_Orderings_Oord__class_Omin(_u12067)), _u12068))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12067), _u12069), skolem276(_u12069, _u12068, _u12067))) )).
% 29.00/29.25 cnf(matrix-5739, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12070) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12070), _u12071)) | ( _u12071 = c_Orderings_Obot__class_Obot(tc_fun(_u12070, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12070), _u12072)) | ( _u12072 = c_Orderings_Obot__class_Obot(tc_fun(_u12070, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u12070, c_Groups_Otimes__class_Otimes(_u12070)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12070, tc_HOL_Obool)), _u12071), _u12072)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12070), hAPP(c_Finite__Set_Ofold1(_u12070, c_Groups_Otimes__class_Otimes(_u12070)), _u12071)), hAPP(c_Finite__Set_Ofold1(_u12070, c_Groups_Otimes__class_Otimes(_u12070)), _u12072))) )).
% 29.00/29.25 cnf(matrix-5740, plain, ( ~class_Orderings_Olinorder(_u12075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12075), _u12076)) | ( _u12076 = c_Orderings_Obot__class_Obot(tc_fun(_u12075, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), hAPP(c_Finite__Set_Ofold1(_u12075, c_Orderings_Oord__class_Omin(_u12075)), _u12076)), _u12077)) | hBOOL(hAPP(hAPP(c_member(_u12075), skolem277(_u12077, _u12076, _u12075)), _u12076)) )).
% 29.00/29.25 cnf(matrix-5741, plain, ( ~class_Orderings_Olinorder(_u12075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12075), _u12076)) | ( _u12076 = c_Orderings_Obot__class_Obot(tc_fun(_u12075, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), hAPP(c_Finite__Set_Ofold1(_u12075, c_Orderings_Oord__class_Omin(_u12075)), _u12076)), _u12077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), skolem277(_u12077, _u12076, _u12075)), _u12077)) )).
% 29.00/29.25 cnf(matrix-5742, plain, ( ~class_Orderings_Olinorder(_u12075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12075), _u12076)) | ( _u12076 = c_Orderings_Obot__class_Obot(tc_fun(_u12075, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12075), _u12074), _u12076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), _u12074), _u12077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12075), hAPP(c_Finite__Set_Ofold1(_u12075, c_Orderings_Oord__class_Omin(_u12075)), _u12076)), _u12077)) )).
% 29.00/29.25 cnf(matrix-5743, plain, ( ~class_Orderings_Olinorder(_u12080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ( _u12081 = c_Orderings_Obot__class_Obot(tc_fun(_u12080, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), hAPP(c_Finite__Set_Ofold1(_u12080, c_Orderings_Oord__class_Omin(_u12080)), _u12081))) | ~hBOOL(hAPP(hAPP(c_member(_u12080), _u12078), _u12081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), _u12078)) )).
% 29.00/29.25 cnf(matrix-5744, plain, ( ~class_Orderings_Olinorder(_u12080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ( _u12081 = c_Orderings_Obot__class_Obot(tc_fun(_u12080, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), hAPP(c_Finite__Set_Ofold1(_u12080, c_Orderings_Oord__class_Omin(_u12080)), _u12081))) | hBOOL(hAPP(hAPP(c_member(_u12080), skolem278(_u12082, _u12081, _u12080)), _u12081)) )).
% 29.00/29.25 cnf(matrix-5745, plain, ( ~class_Orderings_Olinorder(_u12080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12080), _u12081)) | ( _u12081 = c_Orderings_Obot__class_Obot(tc_fun(_u12080, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), hAPP(c_Finite__Set_Ofold1(_u12080, c_Orderings_Oord__class_Omin(_u12080)), _u12081))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12080), _u12082), skolem278(_u12082, _u12081, _u12080))) )).
% 29.00/29.25 cnf(matrix-5746, plain, ( ( c_HOL_OThe(tc_prod(_u12083, _u12084), hAPP(c_Product__Type_Oprod_Oprod__case(_u12083, _u12084, tc_HOL_Obool), _u12085)) = c_HOL_OThe(tc_prod(_u12083, _u12084), hAPP(hAPP(c_COMBS(tc_prod(_u12083, _u12084), _u12084, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12083, tc_fun(_u12084, tc_HOL_Obool), tc_prod(_u12083, _u12084)), _u12085), c_Product__Type_Ofst(_u12083, _u12084))), c_Product__Type_Osnd(_u12083, _u12084)))) )).
% 29.00/29.25 cnf(matrix-5747, plain, ( ~class_Groups_Oab__semigroup__mult(_u12086) | ( _u12087 = c_Orderings_Obot__class_Obot(tc_fun(_u12086, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12086), _u12087)) | hBOOL(hAPP(hAPP(c_member(_u12086), _u12088), _u12087)) | ( hAPP(c_Finite__Set_Ofold1(_u12086, c_Groups_Otimes__class_Otimes(_u12086)), hAPP(hAPP(c_Set_Oinsert(_u12086), _u12088), _u12087)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12086), _u12088), hAPP(c_Finite__Set_Ofold1(_u12086, c_Groups_Otimes__class_Otimes(_u12086)), _u12087))) )).
% 29.00/29.25 cnf(matrix-5748, plain, ( ~c_Big__Operators_Osemilattice__big(_u12089, _u12090, _u12091) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12089), _u12092)) | ( hAPP(_u12091, _u12092) = hAPP(c_Finite__Set_Ofold1(_u12089, _u12090), _u12092)) )).
% 29.00/29.25 cnf(matrix-5749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12096, tc_HOL_Obool)), _u12098), hAPP(hAPP(c_Set_Oinsert(_u12096), _u12100), c_Orderings_Obot__class_Obot(tc_fun(_u12096, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u12096, _u12100, _u12098) = _u12100) )).
% 29.00/29.25 cnf(matrix-5750, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12097, tc_HOL_Obool)), _u12099), hAPP(hAPP(c_Set_Oinsert(_u12097), _u12101), c_Orderings_Obot__class_Obot(tc_fun(_u12097, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u12097, _u12101, _u12099) = c_HOL_OThe(_u12097, hAPP(hAPP(c_COMBC(_u12097, tc_fun(_u12097, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12097)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12097, tc_HOL_Obool)), _u12099), hAPP(hAPP(c_Set_Oinsert(_u12097), _u12101), c_Orderings_Obot__class_Obot(tc_fun(_u12097, tc_HOL_Obool))))))) )).
% 29.00/29.25 cnf(matrix-5751, plain, ( ~class_Groups_Oab__semigroup__mult(_u12104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12104), _u12105)) | ( _u12105 = c_Orderings_Obot__class_Obot(tc_fun(_u12104, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12104), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12104), skolem279(_u12105, _u12104)), skolem280(_u12105, _u12104))), hAPP(hAPP(c_Set_Oinsert(_u12104), skolem279(_u12105, _u12104)), hAPP(hAPP(c_Set_Oinsert(_u12104), skolem280(_u12105, _u12104)), c_Orderings_Obot__class_Obot(tc_fun(_u12104, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u12104), hAPP(c_Finite__Set_Ofold1(_u12104, c_Groups_Otimes__class_Otimes(_u12104)), _u12105)), _u12105)) )).
% 29.00/29.25 cnf(matrix-5752, plain, ( ~c_Fun_Oinj__on(_u12106, _u12107, _u12108, c_Orderings_Otop__class_Otop(tc_fun(_u12106, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12106, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12106, _u12107, _u12108), hAPP(hAPP(c_Set_Oinsert(_u12107), _u12109), c_Orderings_Obot__class_Obot(tc_fun(_u12107, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u12106), c_HOL_OThe(_u12106, hAPP(hAPP(c_COMBC(_u12106, _u12107, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12107, tc_fun(_u12107, tc_HOL_Obool), _u12106), c_fequal), _u12108)), _u12109))), c_Orderings_Obot__class_Obot(tc_fun(_u12106, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5753, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12112) | ( hAPP(_u12113, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12112), skolem281(_u12114, _u12113, _u12112)), skolem282(_u12114, _u12113, _u12112))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12112), hAPP(_u12113, skolem281(_u12114, _u12113, _u12112))), hAPP(_u12113, skolem282(_u12114, _u12113, _u12112)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12112), _u12114)) | ( _u12114 = c_Orderings_Obot__class_Obot(tc_fun(_u12112, tc_HOL_Obool))) | ( hAPP(_u12113, hAPP(c_Finite__Set_Ofold1(_u12112, c_Groups_Otimes__class_Otimes(_u12112)), _u12114)) = hAPP(c_Finite__Set_Ofold1(_u12112, c_Groups_Otimes__class_Otimes(_u12112)), hAPP(c_Set_Oimage(_u12112, _u12112, _u12113), _u12114))) )).
% 29.00/29.25 cnf(matrix-5754, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12116), _u12117)) | 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(_u12116, tc_Nat_Onat), _u12118), _u12117))) | hBOOL(hAPP(hAPP(c_member(_u12116), skolem283(_u12118, _u12117, _u12116)), _u12117)) )).
% 29.00/29.25 cnf(matrix-5755, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12116), _u12117)) | 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(_u12116, tc_Nat_Onat), _u12118), _u12117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u12118, skolem283(_u12118, _u12117, _u12116)))) )).
% 29.00/29.25 cnf(matrix-5756, plain, ( ( hAPP(_u12119, _u12120) != _u12121) | ~hBOOL(hAPP(hAPP(c_member(_u12122), _u12121), _u12123)) | hBOOL(hAPP(hAPP(c_member(_u12124), _u12120), hAPP(c_Set_Ovimage(_u12124, _u12122, _u12119), _u12123))) )).
% 29.00/29.25 cnf(matrix-5757, plain, ( ( hAPP(c_Set_Ovimage(_u12125, _u12126, _u12127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12126, tc_HOL_Obool)), _u12128), _u12129)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12125, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12125, _u12126, _u12127), _u12128)), hAPP(c_Set_Ovimage(_u12125, _u12126, _u12127), _u12129))) )).
% 29.00/29.25 cnf(matrix-5758, plain, ( ( hAPP(c_Set_Ovimage(_u12130, _u12131, _u12132), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12131, tc_HOL_Obool)), _u12133), _u12134)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12130, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12130, _u12131, _u12132), _u12133)), hAPP(c_Set_Ovimage(_u12130, _u12131, _u12132), _u12134))) )).
% 29.00/29.25 cnf(matrix-5759, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12135, tc_HOL_Obool)), _u12136), _u12137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12138, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12138, _u12135, _u12139), _u12136)), hAPP(c_Set_Ovimage(_u12138, _u12135, _u12139), _u12137))) )).
% 29.00/29.25 cnf(matrix-5760, plain, ( ( hAPP(c_Set_Ovimage(_u12140, _u12141, hAPP(c_Fun_Ocomp(_u12142, _u12141, _u12140, _u12143), _u12144)), _u12145) = hAPP(c_Set_Ovimage(_u12140, _u12142, _u12144), hAPP(c_Set_Ovimage(_u12142, _u12141, _u12143), _u12145))) )).
% 29.00/29.25 cnf(matrix-5761, plain, ( ( hAPP(c_Set_Ovimage(_u12146, _u12147, _u12148), c_Orderings_Obot__class_Obot(tc_fun(_u12147, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12146, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5762, plain, ( ( hAPP(c_Set_Ovimage(_u12149, _u12150, _u12151), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12150, tc_HOL_Obool)), _u12152)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12149, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12149, _u12150, _u12151), _u12152))) )).
% 29.00/29.25 cnf(matrix-5763, plain, ( ( hAPP(c_Set_Ovimage(_u12153, _u12153, c_COMBI(_u12153)), _u12154) = _u12154) )).
% 29.00/29.25 cnf(matrix-5764, plain, ( hBOOL(hAPP(_u12166, hAPP(_u12164, _u12168))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12160, _u12162, _u12164), _u12166), _u12168)) )).
% 29.00/29.25 cnf(matrix-5765, plain, ( ~hBOOL(hAPP(_u12167, hAPP(_u12165, _u12169))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12161, _u12163, _u12165), _u12167), _u12169)) )).
% 29.00/29.25 cnf(matrix-5766, plain, ( ( hAPP(c_Set_Ovimage(_u12170, _u12171, _u12172), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12171, tc_HOL_Obool)), _u12173), _u12174)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12170, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12170, _u12171, _u12172), _u12173)), hAPP(c_Set_Ovimage(_u12170, _u12171, _u12172), _u12174))) )).
% 29.00/29.25 cnf(matrix-5767, plain, ( ( hAPP(c_Set_Ovimage(_u12175, _u12176, _u12177), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12178, tc_fun(_u12176, tc_HOL_Obool)), _u12179), _u12180)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12178, tc_fun(_u12175, tc_HOL_Obool)), _u12179), hAPP(hAPP(c_COMBB(tc_fun(_u12176, tc_HOL_Obool), tc_fun(_u12175, tc_HOL_Obool), _u12178), c_Set_Ovimage(_u12175, _u12176, _u12177)), _u12180))) )).
% 29.00/29.25 cnf(matrix-5768, plain, ( ( hAPP(c_Set_Ovimage(_u12181, _u12182, _u12183), c_Orderings_Otop__class_Otop(tc_fun(_u12182, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12181, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5769, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12184), hAPP(_u12185, _u12186)), _u12187)) | hBOOL(hAPP(hAPP(c_member(_u12188), _u12186), hAPP(c_Set_Ovimage(_u12188, _u12184, _u12185), _u12187))) )).
% 29.00/29.25 cnf(matrix-5770, plain, ( hBOOL(hAPP(hAPP(c_member(_u12191), hAPP(_u12192, _u12190)), _u12193)) | ~hBOOL(hAPP(hAPP(c_member(_u12189), _u12190), hAPP(c_Set_Ovimage(_u12189, _u12191, _u12192), _u12193))) )).
% 29.00/29.25 cnf(matrix-5771, plain, ( hBOOL(hAPP(hAPP(c_member(_u12203), hAPP(_u12205, _u12201)), _u12207)) | ~hBOOL(hAPP(hAPP(c_member(_u12199), _u12201), hAPP(c_Set_Ovimage(_u12199, _u12203, _u12205), _u12207))) )).
% 29.00/29.25 cnf(matrix-5772, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12204), hAPP(_u12206, _u12202)), _u12208)) | hBOOL(hAPP(hAPP(c_member(_u12200), _u12202), hAPP(c_Set_Ovimage(_u12200, _u12204, _u12206), _u12208))) )).
% 29.00/29.25 cnf(matrix-5773, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12209, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12210, _u12209, _u12211), hAPP(c_Set_Ovimage(_u12210, _u12209, _u12211), _u12212))), _u12212)) )).
% 29.00/29.25 cnf(matrix-5774, plain, ( ( hAPP(c_Set_Oimage(_u12213, _u12214, _u12215), c_Orderings_Otop__class_Otop(tc_fun(_u12213, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12214, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12213, _u12214, _u12215), hAPP(c_Set_Ovimage(_u12213, _u12214, _u12215), _u12216)) = _u12216) )).
% 29.00/29.25 cnf(matrix-5775, plain, ( ( hAPP(_u12228, _u12224) = _u12230) | ~hBOOL(hAPP(hAPP(c_member(_u12222), _u12224), hAPP(c_Set_Ovimage(_u12222, _u12226, _u12228), hAPP(hAPP(c_Set_Oinsert(_u12226), _u12230), c_Orderings_Obot__class_Obot(tc_fun(_u12226, tc_HOL_Obool)))))) )).
% 29.00/29.25 cnf(matrix-5776, plain, ( ( hAPP(_u12229, _u12225) != _u12231) | hBOOL(hAPP(hAPP(c_member(_u12223), _u12225), hAPP(c_Set_Ovimage(_u12223, _u12227, _u12229), hAPP(hAPP(c_Set_Oinsert(_u12227), _u12231), c_Orderings_Obot__class_Obot(tc_fun(_u12227, tc_HOL_Obool)))))) )).
% 29.00/29.25 cnf(matrix-5777, plain, ( ( hAPP(c_Set_Ovimage(_u12232, _u12233, _u12234), hAPP(hAPP(c_Set_Oinsert(_u12233), _u12235), _u12236)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12232, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12232, _u12233, _u12234), hAPP(hAPP(c_Set_Oinsert(_u12233), _u12235), c_Orderings_Obot__class_Obot(tc_fun(_u12233, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u12232, _u12233, _u12234), _u12236))) )).
% 29.00/29.25 cnf(matrix-5778, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12237), hAPP(c_Set_Ovimage(_u12237, _u12238, _u12239), _u12240))) | ( hAPP(c_Set_Oimage(_u12237, _u12238, _u12239), c_Orderings_Otop__class_Otop(tc_fun(_u12237, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12238, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12238), _u12240)) )).
% 29.00/29.25 cnf(matrix-5779, plain, ( ( hAPP(c_Set_Oimage(_u12241, _u12242, _u12243), c_Orderings_Otop__class_Otop(tc_fun(_u12241, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12242, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12241, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12241, _u12242, _u12243), _u12244)), _u12245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12242, tc_HOL_Obool)), _u12244), hAPP(c_Set_Oimage(_u12241, _u12242, _u12243), _u12245))) )).
% 29.00/29.25 cnf(matrix-5780, plain, ( ( hAPP(c_Set_Oimage(_u12246, _u12247, _u12248), hAPP(c_Set_Ovimage(_u12246, _u12247, _u12248), _u12249)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12247, tc_HOL_Obool)), _u12249), hAPP(c_Set_Oimage(_u12246, _u12247, _u12248), c_Orderings_Otop__class_Otop(tc_fun(_u12246, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5781, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12250), _u12251)) | ~c_Fun_Oinj__on(_u12252, _u12250, _u12253, c_Orderings_Otop__class_Otop(tc_fun(_u12252, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12252), hAPP(c_Set_Ovimage(_u12252, _u12250, _u12253), _u12251))) )).
% 29.00/29.25 cnf(matrix-5782, plain, ( ~c_Fun_Oinj__on(_u12254, _u12255, _u12256, c_Orderings_Otop__class_Otop(tc_fun(_u12254, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u12254, _u12255, _u12256), hAPP(c_Set_Oimage(_u12254, _u12255, _u12256), _u12257)) = _u12257) )).
% 29.00/29.25 cnf(matrix-5783, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12262), _u12264), _u12266)) | ( hAPP(c_Set_Ovimage(_u12268, _u12262, hAPP(c_COMBK(_u12262, _u12268), _u12264)), _u12266) = c_Orderings_Otop__class_Otop(tc_fun(_u12268, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5784, plain, ( hBOOL(hAPP(hAPP(c_member(_u12263), _u12265), _u12267)) | ( hAPP(c_Set_Ovimage(_u12269, _u12263, hAPP(c_COMBK(_u12263, _u12269), _u12265)), _u12267) = c_Orderings_Obot__class_Obot(tc_fun(_u12269, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5785, plain, ( ( hAPP(c_Set_Ovimage(_u12270, _u12271, _u12272), _u12273) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12271, tc_fun(_u12270, tc_HOL_Obool)), _u12273), hAPP(hAPP(c_COMBB(tc_fun(_u12271, tc_HOL_Obool), tc_fun(_u12270, tc_HOL_Obool), _u12271), c_Set_Ovimage(_u12270, _u12271, _u12272)), hAPP(hAPP(c_COMBC(_u12271, tc_fun(_u12271, tc_HOL_Obool), tc_fun(_u12271, tc_HOL_Obool)), c_Set_Oinsert(_u12271)), c_Orderings_Obot__class_Obot(tc_fun(_u12271, tc_HOL_Obool)))))) )).
% 29.00/29.25 cnf(matrix-5786, plain, ( ~c_Fun_Oinj__on(_u12274, _u12275, _u12276, c_Orderings_Otop__class_Otop(tc_fun(_u12274, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12275, tc_HOL_Obool)), _u12277), hAPP(c_Set_Oimage(_u12274, _u12275, _u12276), _u12278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12274, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12274, _u12275, _u12276), _u12277)), _u12278)) )).
% 29.00/29.25 cnf(matrix-5787, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12285), _u12287), _u12289)) | ~hBOOL(hAPP(hAPP(c_member(_u12285), _u12291), _u12289)) | ( hAPP(c_Set_Ovimage(_u12293, _u12285, hAPP(hAPP(c_COMBC(_u12293, _u12285, _u12285), hAPP(hAPP(c_COMBC(_u12293, _u12285, tc_fun(_u12285, _u12285)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12285, tc_fun(_u12285, _u12285)), _u12293), c_If(_u12285)), hAPP(hAPP(c_COMBC(_u12293, tc_fun(_u12293, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12293)), _u12295))), _u12287)), _u12291)), _u12289) = c_Orderings_Otop__class_Otop(tc_fun(_u12293, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5788, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12285), _u12287), _u12289)) | hBOOL(hAPP(hAPP(c_member(_u12285), _u12291), _u12289)) | ( hAPP(c_Set_Ovimage(_u12293, _u12285, hAPP(hAPP(c_COMBC(_u12293, _u12285, _u12285), hAPP(hAPP(c_COMBC(_u12293, _u12285, tc_fun(_u12285, _u12285)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12285, tc_fun(_u12285, _u12285)), _u12293), c_If(_u12285)), hAPP(hAPP(c_COMBC(_u12293, tc_fun(_u12293, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12293)), _u12295))), _u12287)), _u12291)), _u12289) = _u12295) )).
% 29.00/29.25 cnf(matrix-5789, plain, ( hBOOL(hAPP(hAPP(c_member(_u12286), _u12288), _u12290)) | ~hBOOL(hAPP(hAPP(c_member(_u12286), _u12292), _u12290)) | ( hAPP(c_Set_Ovimage(_u12294, _u12286, hAPP(hAPP(c_COMBC(_u12294, _u12286, _u12286), hAPP(hAPP(c_COMBC(_u12294, _u12286, tc_fun(_u12286, _u12286)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12286, tc_fun(_u12286, _u12286)), _u12294), c_If(_u12286)), hAPP(hAPP(c_COMBC(_u12294, tc_fun(_u12294, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12294)), _u12296))), _u12288)), _u12292)), _u12290) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12294, tc_HOL_Obool)), _u12296)) )).
% 29.00/29.25 cnf(matrix-5790, plain, ( hBOOL(hAPP(hAPP(c_member(_u12286), _u12288), _u12290)) | hBOOL(hAPP(hAPP(c_member(_u12286), _u12292), _u12290)) | ( hAPP(c_Set_Ovimage(_u12294, _u12286, hAPP(hAPP(c_COMBC(_u12294, _u12286, _u12286), hAPP(hAPP(c_COMBC(_u12294, _u12286, tc_fun(_u12286, _u12286)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12286, tc_fun(_u12286, _u12286)), _u12294), c_If(_u12286)), hAPP(hAPP(c_COMBC(_u12294, tc_fun(_u12294, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12294)), _u12296))), _u12288)), _u12292)), _u12290) = c_Orderings_Obot__class_Obot(tc_fun(_u12294, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5791, plain, ( ( hAPP(c_Set_Oimage(_u12297, tc_prod(_u12298, _u12299), hAPP(hAPP(c_COMBS(_u12297, _u12299, tc_prod(_u12298, _u12299)), hAPP(hAPP(c_COMBB(_u12298, tc_fun(_u12299, tc_prod(_u12298, _u12299)), _u12297), c_Product__Type_OPair(_u12298, _u12299)), _u12300)), _u12301)), _u12302) = hAPP(hAPP(c_Product__Type_OSigma(_u12298, _u12299), hAPP(c_Set_Oimage(_u12297, _u12298, _u12300), _u12302)), hAPP(hAPP(c_COMBB(tc_fun(_u12297, tc_HOL_Obool), tc_fun(_u12299, tc_HOL_Obool), _u12298), c_Set_Oimage(_u12297, _u12299, _u12301)), hAPP(hAPP(c_COMBC(_u12298, tc_fun(_u12297, tc_HOL_Obool), tc_fun(_u12297, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12297, tc_HOL_Obool), tc_fun(tc_fun(_u12297, tc_HOL_Obool), tc_fun(_u12297, tc_HOL_Obool)), _u12298), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12297, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12298, tc_HOL_Obool), tc_fun(_u12297, tc_HOL_Obool), _u12298), c_Set_Ovimage(_u12297, _u12298, _u12300)), hAPP(hAPP(c_COMBC(_u12298, tc_fun(_u12298, tc_HOL_Obool), tc_fun(_u12298, tc_HOL_Obool)), c_Set_Oinsert(_u12298)), c_Orderings_Obot__class_Obot(tc_fun(_u12298, tc_HOL_Obool)))))), _u12302)))) )).
% 29.00/29.25 cnf(matrix-5792, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u12305, _u12306, _u12307) | ( hAPP(_u12308, hAPP(hAPP(_u12306, skolem284(_u12309, _u12308, _u12307, _u12306, _u12305)), skolem285(_u12309, _u12308, _u12307, _u12306, _u12305))) != hAPP(hAPP(_u12306, hAPP(_u12308, skolem284(_u12309, _u12308, _u12307, _u12306, _u12305))), hAPP(_u12308, skolem285(_u12309, _u12308, _u12307, _u12306, _u12305)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12305), _u12309)) | ( _u12309 = c_Orderings_Obot__class_Obot(tc_fun(_u12305, tc_HOL_Obool))) | ( hAPP(_u12308, hAPP(_u12307, _u12309)) = hAPP(_u12307, hAPP(c_Set_Oimage(_u12305, _u12305, _u12308), _u12309))) )).
% 29.00/29.25 cnf(matrix-5793, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12311), c_Int_OInteg)) | ~hBOOL(hAPP(_u12312, hAPP(c_Int_ORep__Integ, skolem286(_u12312, _u12311)))) | hBOOL(hAPP(_u12312, _u12311)) )).
% 29.00/29.25 cnf(matrix-5794, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12313), _u12314), _u12315)) | ~hBOOL(hAPP(hAPP(c_member(_u12316), _u12317), hAPP(_u12318, _u12314))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12313, _u12316)), hAPP(hAPP(c_Product__Type_OPair(_u12313, _u12316), _u12314), _u12317)), hAPP(hAPP(c_Product__Type_OSigma(_u12313, _u12316), _u12315), _u12318))) )).
% 29.00/29.25 cnf(matrix-5795, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12319), _u12320), _u12321)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12322, _u12319), _u12323), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12322), _u12321)) != hAPP(hAPP(c_Product__Type_OSigma(_u12322, _u12319), _u12324), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12322), _u12321))) | ( _u12323 = _u12324) )).
% 29.00/29.25 cnf(matrix-5796, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12319), _u12320), _u12321)) | ( _u12323 != _u12324) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12322, _u12319), _u12323), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12322), _u12321)) = hAPP(hAPP(c_Product__Type_OSigma(_u12322, _u12319), _u12324), hAPP(c_COMBK(tc_fun(_u12319, tc_HOL_Obool), _u12322), _u12321))) )).
% 29.00/29.25 cnf(matrix-5797, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12325, _u12326), c_Orderings_Obot__class_Obot(tc_fun(_u12325, tc_HOL_Obool))), _u12327) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12325, _u12326), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5798, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12328, _u12329)), hAPP(hAPP(c_Product__Type_OSigma(_u12328, _u12329), _u12330), hAPP(c_COMBK(tc_fun(_u12329, tc_HOL_Obool), _u12328), _u12331))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12328), _u12330)), hAPP(c_Finite__Set_Ocard(_u12329), _u12331))) )).
% 29.00/29.25 cnf(matrix-5799, plain, ( ~class_Groups_Ocomm__monoid__add(_u12332) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12333, _u12332), hAPP(hAPP(c_COMBC(_u12333, tc_fun(_u12334, tc_HOL_Obool), _u12332), hAPP(hAPP(c_COMBB(tc_fun(_u12334, _u12332), tc_fun(tc_fun(_u12334, tc_HOL_Obool), _u12332), _u12333), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12334, _u12332)), _u12335)), _u12336)), _u12337) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12333, _u12334), _u12332), hAPP(c_Product__Type_Oprod_Oprod__case(_u12333, _u12334, _u12332), _u12335)), hAPP(hAPP(c_Product__Type_OSigma(_u12333, _u12334), _u12337), hAPP(c_COMBK(tc_fun(_u12334, tc_HOL_Obool), _u12333), _u12336)))) )).
% 29.00/29.25 cnf(matrix-5800, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12338, _u12339), _u12340), hAPP(c_COMBK(tc_fun(_u12339, tc_HOL_Obool), _u12338), c_Orderings_Obot__class_Obot(tc_fun(_u12339, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12338, _u12339), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5801, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12345, _u12347), _u12349), hAPP(c_COMBK(tc_fun(_u12347, tc_HOL_Obool), _u12345), _u12351)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12345, _u12347), tc_HOL_Obool))) | ( _u12349 = c_Orderings_Obot__class_Obot(tc_fun(_u12345, tc_HOL_Obool))) | ( _u12351 = c_Orderings_Obot__class_Obot(tc_fun(_u12347, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5802, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12346, _u12348), _u12350), hAPP(c_COMBK(tc_fun(_u12348, tc_HOL_Obool), _u12346), _u12352)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12346, _u12348), tc_HOL_Obool))) | ( _u12350 != c_Orderings_Obot__class_Obot(tc_fun(_u12346, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5803, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12346, _u12348), _u12350), hAPP(c_COMBK(tc_fun(_u12348, tc_HOL_Obool), _u12346), _u12352)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12346, _u12348), tc_HOL_Obool))) | ( _u12352 != c_Orderings_Obot__class_Obot(tc_fun(_u12348, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5804, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12353, _u12354), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12353, _u12354), _u12355), hAPP(c_COMBK(tc_fun(_u12354, tc_HOL_Obool), _u12353), c_Orderings_Otop__class_Otop(tc_fun(_u12354, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12353, _u12354), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12353, tc_HOL_Obool)), _u12355)), hAPP(c_COMBK(tc_fun(_u12354, tc_HOL_Obool), _u12353), c_Orderings_Otop__class_Otop(tc_fun(_u12354, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5805, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12356, _u12357), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12356, _u12357), c_Orderings_Otop__class_Otop(tc_fun(_u12356, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12357, tc_HOL_Obool), _u12356), _u12358))) = hAPP(hAPP(c_Product__Type_OSigma(_u12356, _u12357), c_Orderings_Otop__class_Otop(tc_fun(_u12356, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12357, tc_HOL_Obool), _u12356), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12357, tc_HOL_Obool)), _u12358)))) )).
% 29.00/29.25 cnf(matrix-5806, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12359) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12360, _u12359), hAPP(hAPP(c_COMBC(_u12360, tc_fun(_u12361, tc_HOL_Obool), _u12359), hAPP(hAPP(c_COMBB(tc_fun(_u12361, _u12359), tc_fun(tc_fun(_u12361, tc_HOL_Obool), _u12359), _u12360), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12361, _u12359)), _u12362)), _u12363)), _u12364) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12360, _u12361), _u12359), hAPP(c_Product__Type_Oprod_Oprod__case(_u12360, _u12361, _u12359), _u12362)), hAPP(hAPP(c_Product__Type_OSigma(_u12360, _u12361), _u12364), hAPP(c_COMBK(tc_fun(_u12361, tc_HOL_Obool), _u12360), _u12363)))) )).
% 29.00/29.25 cnf(matrix-5807, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12365, _u12366), _u12367), hAPP(hAPP(c_COMBS(_u12365, tc_fun(_u12366, tc_HOL_Obool), tc_fun(_u12366, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12366, tc_HOL_Obool), tc_fun(tc_fun(_u12366, tc_HOL_Obool), tc_fun(_u12366, tc_HOL_Obool)), _u12365), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12366, tc_HOL_Obool))), _u12368)), _u12369)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12365, _u12366), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12365, _u12366), _u12367), _u12368)), hAPP(hAPP(c_Product__Type_OSigma(_u12365, _u12366), _u12367), _u12369))) )).
% 29.00/29.25 cnf(matrix-5808, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12370, _u12371), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12370, tc_HOL_Obool)), _u12372), _u12373)), hAPP(c_COMBK(tc_fun(_u12371, tc_HOL_Obool), _u12370), _u12374)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12370, _u12371), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12370, _u12371), _u12372), hAPP(c_COMBK(tc_fun(_u12371, tc_HOL_Obool), _u12370), _u12374))), hAPP(hAPP(c_Product__Type_OSigma(_u12370, _u12371), _u12373), hAPP(c_COMBK(tc_fun(_u12371, tc_HOL_Obool), _u12370), _u12374)))) )).
% 29.00/29.25 cnf(matrix-5809, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12375, _u12376), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12375, tc_HOL_Obool)), _u12377), _u12378)), _u12379) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12375, _u12376), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12375, _u12376), _u12377), _u12379)), hAPP(hAPP(c_Product__Type_OSigma(_u12375, _u12376), _u12378), _u12379))) )).
% 29.00/29.25 cnf(matrix-5810, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12380, _u12381), tc_prod(_u12381, _u12380), hAPP(c_Product__Type_Oprod_Oprod__case(_u12380, _u12381, tc_prod(_u12381, _u12380)), hAPP(c_COMBC(_u12381, _u12380, tc_prod(_u12381, _u12380)), c_Product__Type_OPair(_u12381, _u12380)))), hAPP(hAPP(c_Product__Type_OSigma(_u12380, _u12381), _u12382), hAPP(c_COMBK(tc_fun(_u12381, tc_HOL_Obool), _u12380), _u12383))) = hAPP(hAPP(c_Product__Type_OSigma(_u12381, _u12380), _u12383), hAPP(c_COMBK(tc_fun(_u12380, tc_HOL_Obool), _u12381), _u12382))) )).
% 29.00/29.25 cnf(matrix-5811, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12384), _u12385)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12386), _u12387)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12384, _u12386)), hAPP(hAPP(c_Product__Type_OSigma(_u12384, _u12386), _u12385), hAPP(c_COMBK(tc_fun(_u12386, tc_HOL_Obool), _u12384), _u12387)))) )).
% 29.00/29.25 cnf(matrix-5812, plain, ( ~c_Equiv__Relations_Oequiv(_u12388, _u12389, _u12390) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12388, _u12388), tc_HOL_Obool)), _u12390), hAPP(hAPP(c_Product__Type_OSigma(_u12388, _u12388), _u12389), hAPP(c_COMBK(tc_fun(_u12388, tc_HOL_Obool), _u12388), _u12389)))) )).
% 29.00/29.25 cnf(matrix-5813, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12391, _u12392), _u12393), hAPP(hAPP(c_COMBS(_u12391, tc_fun(_u12392, tc_HOL_Obool), tc_fun(_u12392, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12392, tc_HOL_Obool), tc_fun(tc_fun(_u12392, tc_HOL_Obool), tc_fun(_u12392, tc_HOL_Obool)), _u12391), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12392, tc_HOL_Obool))), _u12394)), _u12395)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12391, _u12392), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12391, _u12392), _u12393), _u12394)), hAPP(hAPP(c_Product__Type_OSigma(_u12391, _u12392), _u12393), _u12395))) )).
% 29.00/29.25 cnf(matrix-5814, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12396, _u12397), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12399)), hAPP(c_COMBK(tc_fun(_u12397, tc_HOL_Obool), _u12396), _u12400)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12396, _u12397), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12396, _u12397), _u12398), hAPP(c_COMBK(tc_fun(_u12397, tc_HOL_Obool), _u12396), _u12400))), hAPP(hAPP(c_Product__Type_OSigma(_u12396, _u12397), _u12399), hAPP(c_COMBK(tc_fun(_u12397, tc_HOL_Obool), _u12396), _u12400)))) )).
% 29.00/29.25 cnf(matrix-5815, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12401, _u12402), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12401, tc_HOL_Obool)), _u12403), _u12404)), _u12405) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12401, _u12402), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12401, _u12402), _u12403), _u12405)), hAPP(hAPP(c_Product__Type_OSigma(_u12401, _u12402), _u12404), _u12405))) )).
% 29.00/29.25 cnf(matrix-5816, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12406, _u12406), tc_HOL_Obool)), c_Relation_OId__on(_u12406, _u12407)), hAPP(hAPP(c_Product__Type_OSigma(_u12406, _u12406), _u12407), hAPP(c_COMBK(tc_fun(_u12406, tc_HOL_Obool), _u12406), _u12407)))) )).
% 29.00/29.25 cnf(matrix-5817, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12408, _u12409), _u12410), hAPP(hAPP(c_COMBS(_u12408, tc_fun(_u12409, tc_HOL_Obool), tc_fun(_u12409, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12409, tc_HOL_Obool), tc_fun(tc_fun(_u12409, tc_HOL_Obool), tc_fun(_u12409, tc_HOL_Obool)), _u12408), c_Groups_Ominus__class_Ominus(tc_fun(_u12409, tc_HOL_Obool))), _u12411)), _u12412)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12408, _u12409), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12408, _u12409), _u12410), _u12411)), hAPP(hAPP(c_Product__Type_OSigma(_u12408, _u12409), _u12410), _u12412))) )).
% 29.00/29.25 cnf(matrix-5818, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12413, _u12414), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12413, tc_HOL_Obool)), _u12415), _u12416)), hAPP(c_COMBK(tc_fun(_u12414, tc_HOL_Obool), _u12413), _u12417)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12413, _u12414), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12413, _u12414), _u12415), hAPP(c_COMBK(tc_fun(_u12414, tc_HOL_Obool), _u12413), _u12417))), hAPP(hAPP(c_Product__Type_OSigma(_u12413, _u12414), _u12416), hAPP(c_COMBK(tc_fun(_u12414, tc_HOL_Obool), _u12413), _u12417)))) )).
% 29.00/29.25 cnf(matrix-5819, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12418, _u12419), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12418, tc_HOL_Obool)), _u12420), _u12421)), _u12422) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12418, _u12419), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12418, _u12419), _u12420), _u12422)), hAPP(hAPP(c_Product__Type_OSigma(_u12418, _u12419), _u12421), _u12422))) )).
% 29.00/29.25 cnf(matrix-5820, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12423, _u12424), c_Orderings_Otop__class_Otop(tc_fun(_u12423, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12424, tc_HOL_Obool), _u12423), c_Orderings_Otop__class_Otop(tc_fun(_u12424, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12423, _u12424), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5821, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12431, _u12433)), hAPP(hAPP(c_Product__Type_OPair(_u12431, _u12433), _u12435), _u12437)), hAPP(hAPP(c_Product__Type_OSigma(_u12431, _u12433), _u12439), _u12441))) | hBOOL(hAPP(hAPP(c_member(_u12431), _u12435), _u12439)) )).
% 29.00/29.25 cnf(matrix-5822, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12431, _u12433)), hAPP(hAPP(c_Product__Type_OPair(_u12431, _u12433), _u12435), _u12437)), hAPP(hAPP(c_Product__Type_OSigma(_u12431, _u12433), _u12439), _u12441))) | hBOOL(hAPP(hAPP(c_member(_u12433), _u12437), hAPP(_u12441, _u12435))) )).
% 29.00/29.25 cnf(matrix-5823, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12432), _u12436), _u12440)) | ~hBOOL(hAPP(hAPP(c_member(_u12434), _u12438), hAPP(_u12442, _u12436))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12432, _u12434)), hAPP(hAPP(c_Product__Type_OPair(_u12432, _u12434), _u12436), _u12438)), hAPP(hAPP(c_Product__Type_OSigma(_u12432, _u12434), _u12440), _u12442))) )).
% 29.00/29.25 cnf(matrix-5824, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12443, _u12444)), hAPP(hAPP(c_Product__Type_OPair(_u12443, _u12444), _u12445), _u12446)), hAPP(hAPP(c_Product__Type_OSigma(_u12443, _u12444), _u12447), _u12448))) | hBOOL(hAPP(hAPP(c_member(_u12443), _u12445), _u12447)) )).
% 29.00/29.25 cnf(matrix-5825, plain, ( hBOOL(hAPP(hAPP(c_member(_u12450), _u12452), hAPP(_u12454, _u12451))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12449, _u12450)), hAPP(hAPP(c_Product__Type_OPair(_u12449, _u12450), _u12451), _u12452)), hAPP(hAPP(c_Product__Type_OSigma(_u12449, _u12450), _u12453), _u12454))) )).
% 29.00/29.25 cnf(matrix-5826, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12455, _u12456)), hAPP(hAPP(c_Product__Type_OPair(_u12455, _u12456), _u12457), _u12458)), hAPP(hAPP(c_Product__Type_OSigma(_u12455, _u12456), _u12459), _u12460))) | hBOOL(hAPP(hAPP(c_member(_u12455), _u12457), _u12459)) )).
% 29.00/29.25 cnf(matrix-5827, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12455, _u12456)), hAPP(hAPP(c_Product__Type_OPair(_u12455, _u12456), _u12457), _u12458)), hAPP(hAPP(c_Product__Type_OSigma(_u12455, _u12456), _u12459), _u12460))) | hBOOL(hAPP(hAPP(c_member(_u12456), _u12458), hAPP(_u12460, _u12457))) )).
% 29.00/29.25 cnf(matrix-5828, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12461, _u12462)), hAPP(hAPP(c_Product__Type_OSigma(_u12461, _u12462), hAPP(hAPP(c_Set_Oinsert(_u12461), _u12463), c_Orderings_Obot__class_Obot(tc_fun(_u12461, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12462, tc_HOL_Obool), _u12461), _u12464))) = hAPP(c_Finite__Set_Ocard(_u12462), _u12464)) )).
% 29.00/29.25 cnf(matrix-5829, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12465), _u12466), _u12467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12468, _u12465), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12468, _u12465), _u12469), hAPP(c_COMBK(tc_fun(_u12465, tc_HOL_Obool), _u12468), _u12467))), hAPP(hAPP(c_Product__Type_OSigma(_u12468, _u12465), _u12470), hAPP(c_COMBK(tc_fun(_u12465, tc_HOL_Obool), _u12468), _u12467)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12468, tc_HOL_Obool)), _u12469), _u12470)) )).
% 29.00/29.25 cnf(matrix-5830, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12465), _u12466), _u12467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12468, tc_HOL_Obool)), _u12469), _u12470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12468, _u12465), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12468, _u12465), _u12469), hAPP(c_COMBK(tc_fun(_u12465, tc_HOL_Obool), _u12468), _u12467))), hAPP(hAPP(c_Product__Type_OSigma(_u12468, _u12465), _u12470), hAPP(c_COMBK(tc_fun(_u12465, tc_HOL_Obool), _u12468), _u12467)))) )).
% 29.00/29.25 cnf(matrix-5831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12471, _u12472), tc_HOL_Obool)), _u12473), hAPP(hAPP(c_Product__Type_OSigma(_u12471, _u12472), _u12474), hAPP(c_COMBK(tc_fun(_u12472, tc_HOL_Obool), _u12471), _u12475)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12472, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12471, _u12472, _u12473), _u12476)), _u12475)) )).
% 29.00/29.25 cnf(matrix-5832, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12477, _u12478)), hAPP(hAPP(c_Product__Type_OSigma(_u12477, _u12478), _u12479), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12477), _u12480)))) | ( _u12480 = c_Orderings_Obot__class_Obot(tc_fun(_u12478, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12477), _u12479)) )).
% 29.00/29.25 cnf(matrix-5833, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12481, _u12482)), hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12482), _u12483), hAPP(c_COMBK(tc_fun(_u12482, tc_HOL_Obool), _u12481), _u12484)))) | ( _u12483 = c_Orderings_Obot__class_Obot(tc_fun(_u12481, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12482), _u12484)) )).
% 29.00/29.25 cnf(matrix-5834, plain, ( ( _u12489 != c_Orderings_Obot__class_Obot(tc_fun(_u12491, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12493, _u12491), _u12493, c_Product__Type_Ofst(_u12493, _u12491)), hAPP(hAPP(c_Product__Type_OSigma(_u12493, _u12491), _u12495), hAPP(c_COMBK(tc_fun(_u12491, tc_HOL_Obool), _u12493), _u12489))) = c_Orderings_Obot__class_Obot(tc_fun(_u12493, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5835, plain, ( ( _u12490 = c_Orderings_Obot__class_Obot(tc_fun(_u12492, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12494, _u12492), _u12494, c_Product__Type_Ofst(_u12494, _u12492)), hAPP(hAPP(c_Product__Type_OSigma(_u12494, _u12492), _u12496), hAPP(c_COMBK(tc_fun(_u12492, tc_HOL_Obool), _u12494), _u12490))) = _u12496) )).
% 29.00/29.25 cnf(matrix-5836, plain, ( ( _u12501 != c_Orderings_Obot__class_Obot(tc_fun(_u12503, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12503, _u12505), _u12505, c_Product__Type_Osnd(_u12503, _u12505)), hAPP(hAPP(c_Product__Type_OSigma(_u12503, _u12505), _u12501), hAPP(c_COMBK(tc_fun(_u12505, tc_HOL_Obool), _u12503), _u12507))) = c_Orderings_Obot__class_Obot(tc_fun(_u12505, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5837, plain, ( ( _u12502 = c_Orderings_Obot__class_Obot(tc_fun(_u12504, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12504, _u12506), _u12506, c_Product__Type_Osnd(_u12504, _u12506)), hAPP(hAPP(c_Product__Type_OSigma(_u12504, _u12506), _u12502), hAPP(c_COMBK(tc_fun(_u12506, tc_HOL_Obool), _u12504), _u12508))) = _u12508) )).
% 29.00/29.25 cnf(matrix-5838, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), hAPP(hAPP(c_Set_Oinsert(_u12509), _u12511), _u12512)), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), hAPP(hAPP(c_Set_Oinsert(_u12510), _u12513), _u12514))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12509, _u12510)), hAPP(hAPP(c_Product__Type_OPair(_u12509, _u12510), _u12511), _u12513)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12509, _u12510), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), _u12512), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), hAPP(hAPP(c_Set_Oinsert(_u12510), _u12513), _u12514)))), hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), hAPP(hAPP(c_Set_Oinsert(_u12509), _u12511), _u12512)), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), _u12514))))) )).
% 29.00/29.25 cnf(matrix-5839, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), _u12516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12515, _u12515), tc_HOL_Obool)), _u12517), hAPP(hAPP(c_Product__Type_OSigma(_u12515, _u12515), _u12516), hAPP(c_COMBK(tc_fun(_u12515, tc_HOL_Obool), _u12515), _u12516)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12515, tc_HOL_Obool)), _u12518), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12515), _u12516), _u12517))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), _u12518)) )).
% 29.00/29.25 cnf(matrix-5840, plain, ( ( hAPP(c_Set_Ovimage(_u12519, tc_prod(_u12520, _u12521), _u12522), hAPP(hAPP(c_Product__Type_OSigma(_u12520, _u12521), _u12523), hAPP(c_COMBK(tc_fun(_u12521, tc_HOL_Obool), _u12520), _u12524))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12519, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12519, _u12520, hAPP(c_Fun_Ocomp(tc_prod(_u12520, _u12521), _u12520, _u12519, c_Product__Type_Ofst(_u12520, _u12521)), _u12522)), _u12523)), hAPP(c_Set_Ovimage(_u12519, _u12521, hAPP(c_Fun_Ocomp(tc_prod(_u12520, _u12521), _u12521, _u12519, c_Product__Type_Osnd(_u12520, _u12521)), _u12522)), _u12524))) )).
% 29.00/29.25 cnf(matrix-5841, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12525, _u12526), tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12525, _u12526), _u12529), hAPP(c_COMBK(tc_fun(_u12526, tc_HOL_Obool), _u12525), _u12530))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12525, _u12526, tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12525, tc_fun(_u12526, tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool))), tc_fun(_u12526, tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool)), tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool)), tc_fun(tc_fun(_u12526, tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool))), tc_fun(_u12526, tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool))), _u12525), c_COMBB(tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool)), tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool), _u12526)), hAPP(hAPP(c_COMBB(tc_fun(_u12527, tc_HOL_Obool), tc_fun(tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool)), tc_fun(tc_prod(_u12527, _u12528), tc_HOL_Obool)), _u12525), c_Product__Type_OSigma(_u12527, _u12528)), _u12531))), hAPP(hAPP(c_COMBB(tc_fun(_u12528, tc_HOL_Obool), tc_fun(_u12527, tc_fun(_u12528, tc_HOL_Obool)), _u12526), c_COMBK(tc_fun(_u12528, tc_HOL_Obool), _u12527)), _u12532)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12527, _u12528), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12525, tc_fun(_u12527, tc_HOL_Obool)), _u12529), _u12531)), hAPP(c_COMBK(tc_fun(_u12528, tc_HOL_Obool), _u12527), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12526, tc_fun(_u12528, tc_HOL_Obool)), _u12530), _u12532)))) )).
% 29.00/29.25 cnf(matrix-5842, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12533, _u12534), _u12535), _u12536) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12533, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), _u12535), hAPP(hAPP(c_COMBS(_u12533, tc_fun(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12534, tc_HOL_Obool), tc_fun(tc_fun(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), _u12533), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), _u12536)), hAPP(hAPP(c_COMBC(_u12533, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12534, tc_fun(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), _u12533), c_COMBC(_u12534, tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12534, tc_prod(_u12533, _u12534)), tc_fun(_u12534, tc_fun(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool))), _u12533), hAPP(c_COMBB(tc_prod(_u12533, _u12534), tc_fun(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool), tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)), _u12534), c_Set_Oinsert(tc_prod(_u12533, _u12534)))), c_Product__Type_OPair(_u12533, _u12534)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12533, _u12534), tc_HOL_Obool)))))) )).
% 29.00/29.25 cnf(matrix-5843, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12537), _u12538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12537, _u12537), tc_HOL_Obool)), _u12539), hAPP(hAPP(c_Product__Type_OSigma(_u12537, _u12537), _u12538), hAPP(c_COMBK(tc_fun(_u12537, tc_HOL_Obool), _u12537), _u12538)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12537, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12537), _u12538), _u12539))) )).
% 29.00/29.25 cnf(matrix-5844, plain, ( c_Fun_Oinj__on(_u12541, tc_prod(_u12542, _u12541), skolem287(_u12544, _u12543, _u12542, _u12541), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12542, tc_fun(_u12541, tc_HOL_Obool)), _u12543), _u12544)) )).
% 29.00/29.25 cnf(matrix-5845, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12542, _u12541), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12541, tc_prod(_u12542, _u12541), skolem287(_u12544, _u12543, _u12542, _u12541)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12542, tc_fun(_u12541, tc_HOL_Obool)), _u12543), _u12544))), hAPP(hAPP(c_Product__Type_OSigma(_u12542, _u12541), _u12543), _u12544))) )).
% 29.00/29.25 cnf(matrix-5846, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12546) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12547), _u12548)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12546, _u12547, c_Groups_Otimes__class_Otimes(_u12546)), hAPP(hAPP(c_COMBS(_u12547, tc_fun(_u12549, tc_HOL_Obool), _u12546), hAPP(hAPP(c_COMBC(_u12547, _u12546, tc_fun(tc_fun(_u12549, tc_HOL_Obool), _u12546)), hAPP(hAPP(c_COMBB(tc_fun(_u12549, _u12546), tc_fun(_u12546, tc_fun(tc_fun(_u12549, tc_HOL_Obool), _u12546)), _u12547), c_Finite__Set_Ofold__image(_u12546, _u12549, c_Groups_Otimes__class_Otimes(_u12546))), _u12551)), c_Groups_Oone__class_Oone(_u12546))), _u12550)), c_Groups_Oone__class_Oone(_u12546)), _u12548) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12546, tc_prod(_u12547, _u12549), c_Groups_Otimes__class_Otimes(_u12546)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12547, _u12549, _u12546), _u12551)), c_Groups_Oone__class_Oone(_u12546)), hAPP(hAPP(c_Product__Type_OSigma(_u12547, _u12549), _u12548), _u12550))) | hBOOL(hAPP(hAPP(c_member(_u12547), skolem288(_u12551, _u12550, _u12549, _u12548, _u12547, _u12546)), _u12548)) )).
% 29.00/29.25 cnf(matrix-5847, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12546) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12547), _u12548)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12546, _u12547, c_Groups_Otimes__class_Otimes(_u12546)), hAPP(hAPP(c_COMBS(_u12547, tc_fun(_u12549, tc_HOL_Obool), _u12546), hAPP(hAPP(c_COMBC(_u12547, _u12546, tc_fun(tc_fun(_u12549, tc_HOL_Obool), _u12546)), hAPP(hAPP(c_COMBB(tc_fun(_u12549, _u12546), tc_fun(_u12546, tc_fun(tc_fun(_u12549, tc_HOL_Obool), _u12546)), _u12547), c_Finite__Set_Ofold__image(_u12546, _u12549, c_Groups_Otimes__class_Otimes(_u12546))), _u12551)), c_Groups_Oone__class_Oone(_u12546))), _u12550)), c_Groups_Oone__class_Oone(_u12546)), _u12548) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12546, tc_prod(_u12547, _u12549), c_Groups_Otimes__class_Otimes(_u12546)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12547, _u12549, _u12546), _u12551)), c_Groups_Oone__class_Oone(_u12546)), hAPP(hAPP(c_Product__Type_OSigma(_u12547, _u12549), _u12548), _u12550))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12549), hAPP(_u12550, skolem288(_u12551, _u12550, _u12549, _u12548, _u12547, _u12546)))) )).
% 29.00/29.25 cnf(matrix-5848, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12553), _u12554)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12553, _u12555)), hAPP(hAPP(c_Product__Type_OSigma(_u12553, _u12555), _u12554), _u12556))) | hBOOL(hAPP(hAPP(c_member(_u12553), skolem289(_u12556, _u12555, _u12554, _u12553)), _u12554)) )).
% 29.00/29.25 cnf(matrix-5849, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12553), _u12554)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12553, _u12555)), hAPP(hAPP(c_Product__Type_OSigma(_u12553, _u12555), _u12554), _u12556))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12555), hAPP(_u12556, skolem289(_u12556, _u12555, _u12554, _u12553)))) )).
% 29.00/29.25 cnf(matrix-5850, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12558) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12559), _u12560)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12559, _u12558), hAPP(hAPP(c_COMBS(_u12559, tc_fun(_u12561, tc_HOL_Obool), _u12558), hAPP(hAPP(c_COMBB(tc_fun(_u12561, _u12558), tc_fun(tc_fun(_u12561, tc_HOL_Obool), _u12558), _u12559), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12561, _u12558)), _u12563)), _u12562)), _u12560) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12559, _u12561), _u12558), hAPP(c_Product__Type_Oprod_Oprod__case(_u12559, _u12561, _u12558), _u12563)), hAPP(hAPP(c_Product__Type_OSigma(_u12559, _u12561), _u12560), _u12562))) | hBOOL(hAPP(hAPP(c_member(_u12559), skolem290(_u12563, _u12562, _u12561, _u12560, _u12559, _u12558)), _u12560)) )).
% 29.00/29.25 cnf(matrix-5851, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12558) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12559), _u12560)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12559, _u12558), hAPP(hAPP(c_COMBS(_u12559, tc_fun(_u12561, tc_HOL_Obool), _u12558), hAPP(hAPP(c_COMBB(tc_fun(_u12561, _u12558), tc_fun(tc_fun(_u12561, tc_HOL_Obool), _u12558), _u12559), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12561, _u12558)), _u12563)), _u12562)), _u12560) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12559, _u12561), _u12558), hAPP(c_Product__Type_Oprod_Oprod__case(_u12559, _u12561, _u12558), _u12563)), hAPP(hAPP(c_Product__Type_OSigma(_u12559, _u12561), _u12560), _u12562))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12561), hAPP(_u12562, skolem290(_u12563, _u12562, _u12561, _u12560, _u12559, _u12558)))) )).
% 29.00/29.25 cnf(matrix-5852, plain, ( ~class_Groups_Ocomm__monoid__add(_u12565) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12566), _u12567)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12566, _u12565), hAPP(hAPP(c_COMBS(_u12566, tc_fun(_u12568, tc_HOL_Obool), _u12565), hAPP(hAPP(c_COMBB(tc_fun(_u12568, _u12565), tc_fun(tc_fun(_u12568, tc_HOL_Obool), _u12565), _u12566), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12568, _u12565)), _u12570)), _u12569)), _u12567) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12566, _u12568), _u12565), hAPP(c_Product__Type_Oprod_Oprod__case(_u12566, _u12568, _u12565), _u12570)), hAPP(hAPP(c_Product__Type_OSigma(_u12566, _u12568), _u12567), _u12569))) | hBOOL(hAPP(hAPP(c_member(_u12566), skolem291(_u12570, _u12569, _u12568, _u12567, _u12566, _u12565)), _u12567)) )).
% 29.00/29.25 cnf(matrix-5853, plain, ( ~class_Groups_Ocomm__monoid__add(_u12565) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12566), _u12567)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12566, _u12565), hAPP(hAPP(c_COMBS(_u12566, tc_fun(_u12568, tc_HOL_Obool), _u12565), hAPP(hAPP(c_COMBB(tc_fun(_u12568, _u12565), tc_fun(tc_fun(_u12568, tc_HOL_Obool), _u12565), _u12566), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12568, _u12565)), _u12570)), _u12569)), _u12567) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12566, _u12568), _u12565), hAPP(c_Product__Type_Oprod_Oprod__case(_u12566, _u12568, _u12565), _u12570)), hAPP(hAPP(c_Product__Type_OSigma(_u12566, _u12568), _u12567), _u12569))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12568), hAPP(_u12569, skolem291(_u12570, _u12569, _u12568, _u12567, _u12566, _u12565)))) )).
% 29.00/29.25 cnf(matrix-5854, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12572), _u12573)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12572, _u12574)), hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12574), _u12573), _u12575)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12572, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12574, tc_HOL_Obool), tc_Nat_Onat, _u12572), c_Finite__Set_Ocard(_u12574)), _u12575)), _u12573)) | hBOOL(hAPP(hAPP(c_member(_u12572), skolem292(_u12575, _u12574, _u12573, _u12572)), _u12573)) )).
% 29.00/29.25 cnf(matrix-5855, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12572), _u12573)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12572, _u12574)), hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12574), _u12573), _u12575)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12572, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12574, tc_HOL_Obool), tc_Nat_Onat, _u12572), c_Finite__Set_Ocard(_u12574)), _u12575)), _u12573)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12574), hAPP(_u12575, skolem292(_u12575, _u12574, _u12573, _u12572)))) )).
% 29.00/29.25 cnf(matrix-5856, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12578, _u12579)), _u12580), hAPP(hAPP(c_Product__Type_OSigma(_u12578, _u12579), _u12581), _u12582))) | hBOOL(hAPP(hAPP(c_member(_u12578), skolem293(_u12582, _u12581, _u12580, _u12579, _u12578)), _u12581)) )).
% 29.00/29.25 cnf(matrix-5857, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12578, _u12579)), _u12580), hAPP(hAPP(c_Product__Type_OSigma(_u12578, _u12579), _u12581), _u12582))) | hBOOL(hAPP(hAPP(c_member(_u12579), skolem294(_u12582, _u12581, _u12580, _u12579, _u12578)), hAPP(_u12582, skolem293(_u12582, _u12581, _u12580, _u12579, _u12578)))) )).
% 29.00/29.25 cnf(matrix-5858, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12578, _u12579)), _u12580), hAPP(hAPP(c_Product__Type_OSigma(_u12578, _u12579), _u12581), _u12582))) | ( _u12580 = hAPP(hAPP(c_Product__Type_OPair(_u12578, _u12579), skolem293(_u12582, _u12581, _u12580, _u12579, _u12578)), skolem294(_u12582, _u12581, _u12580, _u12579, _u12578))) )).
% 29.00/29.25 cnf(matrix-5859, plain, ( ( hAPP(c_Set_Oimage(_u12583, _u12584, _u12585), c_Orderings_Otop__class_Otop(tc_fun(_u12583, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12584, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12586, _u12587, _u12588), c_Orderings_Otop__class_Otop(tc_fun(_u12586, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12587, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12583, _u12586), tc_prod(_u12584, _u12587), c_Product__Type_Omap__pair(_u12583, _u12584, _u12586, _u12587, _u12585, _u12588)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12583, _u12586), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12584, _u12587), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5860, plain, ( ~c_Fun_Oinj__on(_u12589, _u12590, _u12591, _u12592) | ~c_Fun_Oinj__on(_u12593, _u12594, _u12595, _u12596) | c_Fun_Oinj__on(tc_prod(_u12589, _u12593), tc_prod(_u12590, _u12594), c_Product__Type_Omap__pair(_u12589, _u12590, _u12593, _u12594, _u12591, _u12595), hAPP(hAPP(c_Product__Type_OSigma(_u12589, _u12593), _u12592), hAPP(c_COMBK(tc_fun(_u12593, tc_HOL_Obool), _u12589), _u12596))) )).
% 29.00/29.25 cnf(matrix-5861, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12597, _u12598)), hAPP(hAPP(c_Product__Type_OPair(_u12597, _u12598), _u12599), _u12600)), _u12601)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12602, _u12603)), hAPP(hAPP(c_Product__Type_OPair(_u12602, _u12603), hAPP(_u12604, _u12599)), hAPP(_u12605, _u12600))), hAPP(c_Set_Oimage(tc_prod(_u12597, _u12598), tc_prod(_u12602, _u12603), c_Product__Type_Omap__pair(_u12597, _u12602, _u12598, _u12603, _u12604, _u12605)), _u12601))) )).
% 29.00/29.25 cnf(matrix-5862, plain, ( ( hAPP(c_Product__Type_Ofst(_u12606, _u12607), hAPP(c_Product__Type_Omap__pair(_u12608, _u12606, _u12609, _u12607, _u12610, _u12611), _u12612)) = hAPP(_u12610, hAPP(c_Product__Type_Ofst(_u12608, _u12609), _u12612))) )).
% 29.00/29.25 cnf(matrix-5863, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12613, _u12614, _u12615, _u12616, _u12617, _u12618), hAPP(hAPP(c_Product__Type_OPair(_u12613, _u12615), _u12619), _u12620)) = hAPP(hAPP(c_Product__Type_OPair(_u12614, _u12616), hAPP(_u12617, _u12619)), hAPP(_u12618, _u12620))) )).
% 29.00/29.25 cnf(matrix-5864, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12621, _u12621, _u12622, _u12622, c_COMBI(_u12621), c_COMBI(_u12622)), _u12623) = _u12623) )).
% 29.00/29.25 cnf(matrix-5865, plain, ( ( hAPP(c_Product__Type_Osnd(_u12624, _u12625), hAPP(c_Product__Type_Omap__pair(_u12626, _u12624, _u12627, _u12625, _u12628, _u12629), _u12630)) = hAPP(_u12629, hAPP(c_Product__Type_Osnd(_u12626, _u12627), _u12630))) )).
% 29.00/29.25 cnf(matrix-5866, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u12631, _u12632), _u12632, tc_prod(_u12633, _u12634), c_Product__Type_Osnd(_u12631, _u12632)), c_Product__Type_Omap__pair(_u12633, _u12631, _u12634, _u12632, _u12635, _u12636)) = hAPP(c_Fun_Ocomp(_u12634, _u12632, tc_prod(_u12633, _u12634), _u12636), c_Product__Type_Osnd(_u12633, _u12634))) )).
% 29.00/29.25 cnf(matrix-5867, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u12637, _u12638), _u12637, tc_prod(_u12639, _u12640), c_Product__Type_Ofst(_u12637, _u12638)), c_Product__Type_Omap__pair(_u12639, _u12637, _u12640, _u12638, _u12641, _u12642)) = hAPP(c_Fun_Ocomp(_u12639, _u12637, tc_prod(_u12639, _u12640), _u12641), c_Product__Type_Ofst(_u12639, _u12640))) )).
% 29.00/29.25 cnf(matrix-5868, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12643, _u12644, _u12645, _u12646, _u12647, _u12648), hAPP(c_Product__Type_Omap__pair(_u12649, _u12643, _u12650, _u12645, _u12651, _u12652), _u12653)) = hAPP(c_Product__Type_Omap__pair(_u12649, _u12644, _u12650, _u12646, hAPP(c_Fun_Ocomp(_u12643, _u12644, _u12649, _u12647), _u12651), hAPP(c_Fun_Ocomp(_u12645, _u12646, _u12650, _u12648), _u12652)), _u12653)) )).
% 29.00/29.25 cnf(matrix-5869, plain, ( ( c_Product__Type_Omap__pair(_u12654, _u12655, _u12656, _u12657, hAPP(c_Fun_Ocomp(_u12658, _u12655, _u12654, _u12659), _u12660), hAPP(c_Fun_Ocomp(_u12661, _u12657, _u12656, _u12662), _u12663)) = hAPP(c_Fun_Ocomp(tc_prod(_u12658, _u12661), tc_prod(_u12655, _u12657), tc_prod(_u12654, _u12656), c_Product__Type_Omap__pair(_u12658, _u12655, _u12661, _u12657, _u12659, _u12662)), c_Product__Type_Omap__pair(_u12654, _u12658, _u12656, _u12661, _u12660, _u12663))) )).
% 29.00/29.25 cnf(matrix-5870, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u12664, _u12665), tc_prod(_u12666, _u12667), tc_prod(_u12668, _u12669), c_Product__Type_Omap__pair(_u12664, _u12666, _u12665, _u12667, _u12670, _u12671)), c_Product__Type_Omap__pair(_u12668, _u12664, _u12669, _u12665, _u12672, _u12673)) = c_Product__Type_Omap__pair(_u12668, _u12666, _u12669, _u12667, hAPP(c_Fun_Ocomp(_u12664, _u12666, _u12668, _u12670), _u12672), hAPP(c_Fun_Ocomp(_u12665, _u12667, _u12669, _u12671), _u12673))) )).
% 29.00/29.25 cnf(matrix-5871, plain, ( ( c_Product__Type_Omap__pair(_u12674, _u12675, _u12676, _u12677, _u12678, _u12679) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12674, _u12676, tc_prod(_u12675, _u12677)), hAPP(hAPP(c_COMBC(_u12674, tc_fun(_u12676, _u12677), tc_fun(_u12676, tc_prod(_u12675, _u12677))), hAPP(hAPP(c_COMBB(tc_fun(_u12677, tc_prod(_u12675, _u12677)), tc_fun(tc_fun(_u12676, _u12677), tc_fun(_u12676, tc_prod(_u12675, _u12677))), _u12674), c_COMBB(_u12677, tc_prod(_u12675, _u12677), _u12676)), hAPP(hAPP(c_COMBB(_u12675, tc_fun(_u12677, tc_prod(_u12675, _u12677)), _u12674), c_Product__Type_OPair(_u12675, _u12677)), _u12678))), _u12679))) )).
% 29.00/29.25 cnf(matrix-5872, plain, ( ( hAPP(c_Set_Oimage(_u12680, _u12681, _u12682), _u12683) != _u12684) | ( hAPP(c_Set_Oimage(_u12685, _u12686, _u12687), _u12688) != _u12689) | ( hAPP(c_Set_Oimage(tc_prod(_u12680, _u12685), tc_prod(_u12681, _u12686), c_Product__Type_Omap__pair(_u12680, _u12681, _u12685, _u12686, _u12682, _u12687)), hAPP(hAPP(c_Product__Type_OSigma(_u12680, _u12685), _u12683), hAPP(c_COMBK(tc_fun(_u12685, tc_HOL_Obool), _u12680), _u12688))) = hAPP(hAPP(c_Product__Type_OSigma(_u12681, _u12686), _u12684), hAPP(c_COMBK(tc_fun(_u12686, tc_HOL_Obool), _u12681), _u12689))) )).
% 29.00/29.25 cnf(matrix-5873, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12692, _u12693)), _u12694), hAPP(c_Set_Oimage(tc_prod(_u12695, _u12696), tc_prod(_u12692, _u12693), c_Product__Type_Omap__pair(_u12695, _u12692, _u12696, _u12693, _u12697, _u12698)), _u12699))) | ( _u12694 = hAPP(hAPP(c_Product__Type_OPair(_u12692, _u12693), hAPP(_u12697, skolem295(_u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692))), hAPP(_u12698, skolem296(_u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692)))) )).
% 29.00/29.25 cnf(matrix-5874, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12692, _u12693)), _u12694), hAPP(c_Set_Oimage(tc_prod(_u12695, _u12696), tc_prod(_u12692, _u12693), c_Product__Type_Omap__pair(_u12695, _u12692, _u12696, _u12693, _u12697, _u12698)), _u12699))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12695, _u12696)), hAPP(hAPP(c_Product__Type_OPair(_u12695, _u12696), skolem295(_u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692)), skolem296(_u12699, _u12698, _u12697, _u12696, _u12695, _u12694, _u12693, _u12692))), _u12699)) )).
% 29.00/29.25 cnf(matrix-5875, plain, ( ~c_Relation_Orefl__on(_u12705, _u12707, _u12709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12705, _u12705), tc_HOL_Obool)), _u12709), hAPP(hAPP(c_Product__Type_OSigma(_u12705, _u12705), _u12707), hAPP(c_COMBK(tc_fun(_u12705, tc_HOL_Obool), _u12705), _u12707)))) )).
% 29.00/29.25 cnf(matrix-5876, plain, ( ~c_Relation_Orefl__on(_u12705, _u12707, _u12709) | ~hBOOL(hAPP(hAPP(c_member(_u12705), _u12700), _u12707)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12705, _u12705)), hAPP(hAPP(c_Product__Type_OPair(_u12705, _u12705), _u12700), _u12700)), _u12709)) )).
% 29.00/29.25 cnf(matrix-5877, plain, ( c_Relation_Orefl__on(_u12706, _u12708, _u12710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12706, _u12706), tc_HOL_Obool)), _u12710), hAPP(hAPP(c_Product__Type_OSigma(_u12706, _u12706), _u12708), hAPP(c_COMBK(tc_fun(_u12706, tc_HOL_Obool), _u12706), _u12708)))) | hBOOL(hAPP(hAPP(c_member(_u12706), skolem297(_u12710, _u12708, _u12706)), _u12708)) )).
% 29.00/29.25 cnf(matrix-5878, plain, ( c_Relation_Orefl__on(_u12706, _u12708, _u12710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12706, _u12706), tc_HOL_Obool)), _u12710), hAPP(hAPP(c_Product__Type_OSigma(_u12706, _u12706), _u12708), hAPP(c_COMBK(tc_fun(_u12706, tc_HOL_Obool), _u12706), _u12708)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12706, _u12706)), hAPP(hAPP(c_Product__Type_OPair(_u12706, _u12706), skolem297(_u12710, _u12708, _u12706)), skolem297(_u12710, _u12708, _u12706))), _u12710)) )).
% 29.00/29.25 cnf(matrix-5879, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12712), c_Int_OInteg)) | ( _u12712 = hAPP(c_Int_ORep__Integ, skolem298(_u12712))) )).
% 29.00/29.25 cnf(matrix-5880, plain, ( c_Relation_Orefl__on(_u12713, _u12714, c_Relation_OId__on(_u12713, _u12714)) )).
% 29.00/29.25 cnf(matrix-5881, plain, ( c_Relation_Orefl__on(_u12715, c_Orderings_Obot__class_Obot(tc_fun(_u12715, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12715, _u12715), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5882, plain, ( ~c_Relation_Orefl__on(_u12716, _u12717, _u12718) | ~c_Relation_Orefl__on(_u12716, _u12719, _u12720) | c_Relation_Orefl__on(_u12716, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12716, tc_HOL_Obool)), _u12717), _u12719), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12716, _u12716), tc_HOL_Obool)), _u12718), _u12720)) )).
% 29.00/29.25 cnf(matrix-5883, plain, ( c_Relation_Orefl__on(_u12721, c_Orderings_Otop__class_Otop(tc_fun(_u12721, tc_HOL_Obool)), c_Relation_OId(_u12721)) )).
% 29.00/29.25 cnf(matrix-5884, plain, ( ~c_Relation_Orefl__on(_u12722, _u12723, _u12724) | ~c_Relation_Orefl__on(_u12722, _u12725, _u12726) | c_Relation_Orefl__on(_u12722, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12722, tc_HOL_Obool)), _u12723), _u12725), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12722, _u12722), tc_HOL_Obool)), _u12724), _u12726)) )).
% 29.00/29.25 cnf(matrix-5885, plain, ( ~c_Relation_Orefl__on(_u12727, _u12728, _u12729) | ~hBOOL(hAPP(hAPP(c_member(_u12727), _u12730), _u12728)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12727, _u12727)), hAPP(hAPP(c_Product__Type_OPair(_u12727, _u12727), _u12730), _u12730)), _u12729)) )).
% 29.00/29.25 cnf(matrix-5886, plain, ( ~c_Relation_Orefl__on(_u12731, _u12732, _u12733) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12731, _u12731)), hAPP(hAPP(c_Product__Type_OPair(_u12731, _u12731), _u12734), _u12735)), _u12733)) | hBOOL(hAPP(hAPP(c_member(_u12731), _u12734), _u12732)) )).
% 29.00/29.25 cnf(matrix-5887, plain, ( ~c_Relation_Orefl__on(_u12736, _u12737, _u12738) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12736, _u12736)), hAPP(hAPP(c_Product__Type_OPair(_u12736, _u12736), _u12739), _u12740)), _u12738)) | hBOOL(hAPP(hAPP(c_member(_u12736), _u12740), _u12737)) )).
% 29.00/29.25 cnf(matrix-5888, plain, ( c_Relation_Orefl__on(_u12741, c_Orderings_Otop__class_Otop(tc_fun(_u12741, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12741, _u12741), tc_HOL_Obool)), _u12742), c_Relation_OId(_u12741))) )).
% 29.00/29.25 cnf(matrix-5889, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12744, _u12744), tc_HOL_Obool)), _u12745), hAPP(hAPP(c_Product__Type_OSigma(_u12744, _u12744), _u12746), hAPP(c_COMBK(tc_fun(_u12744, tc_HOL_Obool), _u12744), _u12746)))) | c_Relation_Orefl__on(_u12744, _u12746, _u12745) | hBOOL(hAPP(hAPP(c_member(_u12744), skolem299(_u12746, _u12745, _u12744)), _u12746)) )).
% 29.00/29.25 cnf(matrix-5890, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12744, _u12744), tc_HOL_Obool)), _u12745), hAPP(hAPP(c_Product__Type_OSigma(_u12744, _u12744), _u12746), hAPP(c_COMBK(tc_fun(_u12744, tc_HOL_Obool), _u12744), _u12746)))) | c_Relation_Orefl__on(_u12744, _u12746, _u12745) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12744, _u12744)), hAPP(hAPP(c_Product__Type_OPair(_u12744, _u12744), skolem299(_u12746, _u12745, _u12744)), skolem299(_u12746, _u12745, _u12744))), _u12745)) )).
% 29.00/29.25 cnf(matrix-5891, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u12747, tc_fun(_u12747, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12747, tc_HOL_Obool), tc_fun(tc_fun(_u12747, tc_HOL_Obool), tc_fun(_u12747, tc_HOL_Obool)), _u12747), hAPP(c_COMBC(tc_fun(_u12747, tc_HOL_Obool), tc_fun(_u12747, tc_HOL_Obool), tc_fun(_u12747, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u12747, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u12747, tc_fun(_u12747, tc_HOL_Obool), tc_fun(_u12747, tc_HOL_Obool)), c_Set_Oinsert(_u12747)), c_Orderings_Obot__class_Obot(tc_fun(_u12747, tc_HOL_Obool))))) )).
% 29.00/29.25 cnf(matrix-5892, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u12749, _u12750, _u12751, _u12752, _u12753, _u12754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12750), _u12755)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12750), _u12756)) | ( hAPP(_u12754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12750, tc_HOL_Obool)), _u12755), _u12756)) = hAPP(hAPP(_u12751, hAPP(_u12754, _u12755)), hAPP(_u12754, _u12756))) | hBOOL(hAPP(hAPP(c_member(_u12750), skolem300(_u12756, _u12755, _u12754, _u12753, _u12752, _u12751, _u12750)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12750, tc_HOL_Obool)), _u12755), _u12756))) )).
% 29.00/29.25 cnf(matrix-5893, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u12749, _u12750, _u12751, _u12752, _u12753, _u12754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12750), _u12755)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12750), _u12756)) | ( hAPP(_u12754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12750, tc_HOL_Obool)), _u12755), _u12756)) = hAPP(hAPP(_u12751, hAPP(_u12754, _u12755)), hAPP(_u12754, _u12756))) | ( hAPP(_u12753, skolem300(_u12756, _u12755, _u12754, _u12753, _u12752, _u12751, _u12750)) != _u12752) )).
% 29.00/29.25 cnf(matrix-5894, plain, ( ( hAPP(hAPP(_u12759, _u12760), hAPP(hAPP(_u12759, _u12760), _u12761)) = hAPP(hAPP(_u12759, _u12760), _u12761)) | ~c_Finite__Set_Ofun__left__comm__idem(_u12757, _u12758, _u12759) )).
% 29.00/29.25 cnf(matrix-5895, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u12762, _u12763, _u12764) | c_Finite__Set_Ofun__left__comm__idem(_u12765, _u12763, hAPP(hAPP(c_COMBB(_u12762, tc_fun(_u12763, _u12763), _u12765), _u12764), _u12766)) )).
% 29.00/29.25 cnf(matrix-5896, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u12767, tc_fun(_u12767, tc_HOL_Obool), c_Set_Oinsert(_u12767)) )).
% 29.00/29.25 cnf(matrix-5897, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u12768) | c_Finite__Set_Ofun__left__comm__idem(_u12768, _u12768, c_Groups_Otimes__class_Otimes(_u12768)) )).
% 29.00/29.25 cnf(matrix-5898, plain, ( ~class_Lattices_Osemilattice__sup(_u12769) | c_Finite__Set_Ofun__left__comm__idem(_u12769, _u12769, c_Lattices_Osemilattice__sup__class_Osup(_u12769)) )).
% 29.00/29.25 cnf(matrix-5899, plain, ( ~class_Lattices_Osemilattice__inf(_u12770) | c_Finite__Set_Ofun__left__comm__idem(_u12770, _u12770, c_Lattices_Osemilattice__inf__class_Oinf(_u12770)) )).
% 29.00/29.25 cnf(matrix-5900, plain, ( ( hAPP(c_Fun_Ocomp(_u12772, _u12772, _u12772, hAPP(_u12773, _u12774)), hAPP(_u12773, _u12774)) = hAPP(_u12773, _u12774)) | ~c_Finite__Set_Ofun__left__comm__idem(_u12771, _u12772, _u12773) )).
% 29.00/29.25 cnf(matrix-5901, plain, ( ~class_Orderings_Olinorder(_u12775) | c_Finite__Set_Ofun__left__comm__idem(_u12775, _u12775, c_Orderings_Oord__class_Omin(_u12775)) )).
% 29.00/29.25 cnf(matrix-5902, plain, ( ~class_Orderings_Olinorder(_u12776) | c_Finite__Set_Ofun__left__comm__idem(_u12776, _u12776, c_Orderings_Oord__class_Omax(_u12776)) )).
% 29.00/29.25 cnf(matrix-5903, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12777)) | ( 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)), _u12777))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12778))))) = 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)), _u12777))), 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, _u12778)))))) )).
% 29.00/29.25 cnf(matrix-5904, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12779)) | ( 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)), _u12779))), 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, _u12780))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-5905, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12781)) | ( 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)), _u12781))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12782)))) = 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)), _u12781))), 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, _u12782)))))) )).
% 29.00/29.25 cnf(matrix-5906, plain, ( ~hBOOL(hAPP(_u12783, _u12784)) | hBOOL(hAPP(hAPP(c_member(_u12785), _u12784), hAPP(c_Set_OCollect(_u12785), _u12783))) )).
% 29.00/29.25 cnf(matrix-5907, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(c_Set_OCollect(_u12786), hAPP(hAPP(c_COMBS(_u12786, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12786), c_fconj), _u12787)), _u12788)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(c_Set_OCollect(_u12786), _u12787))) )).
% 29.00/29.25 cnf(matrix-5908, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(c_Set_OCollect(_u12786), hAPP(hAPP(c_COMBS(_u12786, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12786), c_fconj), _u12787)), _u12788)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(c_Set_OCollect(_u12786), _u12788))) )).
% 29.00/29.25 cnf(matrix-5909, 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)), _u12789)))) )).
% 29.00/29.25 cnf(matrix-5910, 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)), _u12790)))) )).
% 29.00/29.25 cnf(matrix-5911, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12791, _u12792)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12791, _u12792, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12791, tc_fun(_u12792, tc_HOL_Obool), tc_fun(_u12792, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12792, tc_HOL_Obool), tc_fun(_u12792, tc_HOL_Obool)), _u12791), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12792)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12791), c_fconj), _u12793))), _u12794))) = hAPP(hAPP(c_Product__Type_OSigma(_u12791, _u12792), hAPP(c_Set_OCollect(_u12791), _u12793)), hAPP(c_COMBK(tc_fun(_u12792, tc_HOL_Obool), _u12791), hAPP(c_Set_OCollect(_u12792), _u12794)))) )).
% 29.00/29.25 cnf(matrix-5912, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12795, _u12796)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12795, _u12796, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12795, tc_fun(_u12796, tc_HOL_Obool), tc_fun(_u12796, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12796, tc_HOL_Obool), tc_fun(_u12796, tc_HOL_Obool)), _u12795), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12796)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12795), c_fconj), _u12797))), _u12798))) = hAPP(hAPP(c_Product__Type_OSigma(_u12795, _u12796), hAPP(c_Set_OCollect(_u12795), _u12797)), hAPP(hAPP(c_COMBB(tc_fun(_u12796, tc_HOL_Obool), tc_fun(_u12796, tc_HOL_Obool), _u12795), c_Set_OCollect(_u12796)), _u12798))) )).
% 29.00/29.25 cnf(matrix-5913, plain, ( ( hAPP(c_Set_OCollect(_u12799), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12799), c_fNot), _u12800)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12799, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12799), _u12800))) )).
% 29.00/29.25 cnf(matrix-5914, plain, ( ( hAPP(c_Set_Ovimage(_u12801, _u12802, _u12803), hAPP(c_Set_OCollect(_u12802), _u12804)) = hAPP(c_Set_OCollect(_u12801), hAPP(hAPP(c_COMBB(_u12802, tc_HOL_Obool, _u12801), _u12804), _u12803))) )).
% 29.00/29.25 cnf(matrix-5915, plain, ( ( hAPP(c_Set_OCollect(_u12805), hAPP(hAPP(c_COMBC(_u12805, tc_fun(_u12805, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12805)), _u12806)) = _u12806) )).
% 29.00/29.25 cnf(matrix-5916, plain, ( hBOOL(hAPP(_u12814, _u12812)) | ~hBOOL(hAPP(hAPP(c_member(_u12810), _u12812), hAPP(c_Set_OCollect(_u12810), _u12814))) )).
% 29.00/29.25 cnf(matrix-5917, plain, ( ~hBOOL(hAPP(_u12815, _u12813)) | hBOOL(hAPP(hAPP(c_member(_u12811), _u12813), hAPP(c_Set_OCollect(_u12811), _u12815))) )).
% 29.00/29.25 cnf(matrix-5918, plain, ( hBOOL(hAPP(_u12818, _u12817)) | ~hBOOL(hAPP(hAPP(c_member(_u12816), _u12817), hAPP(c_Set_OCollect(_u12816), _u12818))) )).
% 29.00/29.25 cnf(matrix-5919, plain, ( hBOOL(hAPP(_u12821, _u12820)) | ~hBOOL(hAPP(hAPP(c_member(_u12819), _u12820), hAPP(c_Set_OCollect(_u12819), _u12821))) )).
% 29.00/29.25 cnf(matrix-5920, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u12822, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12822), hAPP(c_COMBK(tc_HOL_Obool, _u12822), c_fTrue))) )).
% 29.00/29.25 cnf(matrix-5921, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), hAPP(c_Set_OCollect(_u12826), hAPP(hAPP(c_COMBS(_u12826, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12826), c_fdisj), _u12828)), _u12830)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), hAPP(c_Set_OCollect(_u12826), _u12828))) )).
% 29.00/29.25 cnf(matrix-5922, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), hAPP(c_Set_OCollect(_u12826), hAPP(hAPP(c_COMBS(_u12826, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12826), c_fdisj), _u12828)), _u12830)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12826), hAPP(c_Set_OCollect(_u12826), _u12830))) )).
% 29.00/29.25 cnf(matrix-5923, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12827), hAPP(c_Set_OCollect(_u12827), _u12829))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12827), hAPP(c_Set_OCollect(_u12827), _u12831))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12827), hAPP(c_Set_OCollect(_u12827), hAPP(hAPP(c_COMBS(_u12827, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12827), c_fdisj), _u12829)), _u12831)))) )).
% 29.00/29.25 cnf(matrix-5924, plain, ( ( hAPP(c_Set_OCollect(_u12832), _u12833) = _u12833) )).
% 29.00/29.25 cnf(matrix-5925, plain, ( ~hBOOL(hAPP(_u12840, _u12834)) | ( hAPP(c_Set_OCollect(_u12838), _u12840) != c_Orderings_Obot__class_Obot(tc_fun(_u12838, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5926, plain, ( hBOOL(hAPP(_u12841, skolem301(_u12841))) | ( hAPP(c_Set_OCollect(_u12839), _u12841) = c_Orderings_Obot__class_Obot(tc_fun(_u12839, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5927, plain, ( ~hBOOL(hAPP(_u12848, _u12842)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12846, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u12846), _u12848)) )).
% 29.00/29.25 cnf(matrix-5928, plain, ( hBOOL(hAPP(_u12849, skolem302(_u12849))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12847, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12847), _u12849)) )).
% 29.00/29.25 cnf(matrix-5929, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u12850, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12850), hAPP(c_COMBK(tc_HOL_Obool, _u12850), c_fFalse))) )).
% 29.00/29.25 cnf(matrix-5930, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12851), _u12852), hAPP(c_Set_OCollect(_u12851), _u12853)) = hAPP(c_Set_OCollect(_u12851), hAPP(hAPP(c_COMBS(_u12851, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12851), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12851), c_fNot), hAPP(hAPP(c_COMBC(_u12851, _u12851, tc_HOL_Obool), c_fequal), _u12852)))), _u12853))) )).
% 29.00/29.25 cnf(matrix-5931, plain, ( ( hAPP(c_Set_OCollect(_u12854), hAPP(hAPP(c_COMBS(_u12854, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12854), c_fdisj), _u12855)), _u12856)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12854, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12854), _u12855)), hAPP(c_Set_OCollect(_u12854), _u12856))) )).
% 29.00/29.25 cnf(matrix-5932, plain, ( ( hAPP(c_Set_OCollect(_u12857), hAPP(hAPP(c_COMBS(_u12857, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12857), c_fconj), _u12858)), _u12859)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12857, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12857), _u12858)), hAPP(c_Set_OCollect(_u12857), _u12859))) )).
% 29.00/29.25 cnf(matrix-5933, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12860), _u12861), _u12862) = hAPP(c_Set_OCollect(_u12860), hAPP(hAPP(c_COMBS(_u12860, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12860), c_fdisj), hAPP(hAPP(c_COMBC(_u12860, _u12860, tc_HOL_Obool), c_fequal), _u12861))), hAPP(hAPP(c_COMBC(_u12860, tc_fun(_u12860, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12860)), _u12862)))) )).
% 29.00/29.25 cnf(matrix-5934, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12863), _u12864), _u12865) = hAPP(c_Set_OCollect(_u12863), hAPP(hAPP(c_COMBS(_u12863, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12863), c_fdisj), hAPP(hAPP(c_COMBC(_u12863, _u12863, tc_HOL_Obool), c_fequal), _u12864))), hAPP(hAPP(c_COMBC(_u12863, tc_fun(_u12863, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12863)), _u12865)))) )).
% 29.00/29.25 cnf(matrix-5935, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12866, tc_HOL_Obool)), _u12867), _u12868) = hAPP(c_Set_OCollect(_u12866), hAPP(hAPP(c_COMBS(_u12866, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12866), c_fdisj), hAPP(hAPP(c_COMBC(_u12866, tc_fun(_u12866, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12866)), _u12867))), hAPP(hAPP(c_COMBC(_u12866, tc_fun(_u12866, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12866)), _u12868)))) )).
% 29.00/29.25 cnf(matrix-5936, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12873), _u12875), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12873, tc_HOL_Obool)), _u12877), hAPP(c_Set_OCollect(_u12873), _u12879)))) | hBOOL(hAPP(hAPP(c_member(_u12873), _u12875), _u12877)) )).
% 29.00/29.25 cnf(matrix-5937, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12873), _u12875), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12873, tc_HOL_Obool)), _u12877), hAPP(c_Set_OCollect(_u12873), _u12879)))) | hBOOL(hAPP(_u12879, _u12875)) )).
% 29.00/29.25 cnf(matrix-5938, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12874), _u12876), _u12878)) | ~hBOOL(hAPP(_u12880, _u12876)) | hBOOL(hAPP(hAPP(c_member(_u12874), _u12876), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12874, tc_HOL_Obool)), _u12878), hAPP(c_Set_OCollect(_u12874), _u12880)))) )).
% 29.00/29.25 cnf(matrix-5939, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12881, tc_HOL_Obool)), _u12882), _u12883) = hAPP(c_Set_OCollect(_u12881), hAPP(hAPP(c_COMBS(_u12881, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12881), c_fconj), hAPP(hAPP(c_COMBC(_u12881, tc_fun(_u12881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12881)), _u12882))), hAPP(hAPP(c_COMBC(_u12881, tc_fun(_u12881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12881)), _u12883)))) )).
% 29.00/29.25 cnf(matrix-5940, plain, ( ( hAPP(c_Set_OCollect(_u12884), hAPP(c_fequal, _u12885)) = hAPP(hAPP(c_Set_Oinsert(_u12884), _u12885), c_Orderings_Obot__class_Obot(tc_fun(_u12884, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5941, plain, ( ( hAPP(c_Set_OCollect(_u12886), hAPP(hAPP(c_COMBC(_u12886, _u12886, tc_HOL_Obool), c_fequal), _u12887)) = hAPP(hAPP(c_Set_Oinsert(_u12886), _u12887), c_Orderings_Obot__class_Obot(tc_fun(_u12886, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5942, plain, ( ~hBOOL(hAPP(_u12891, _u12893)) | ( hAPP(c_Set_OCollect(_u12895), hAPP(hAPP(c_COMBS(_u12895, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12895), c_fconj), hAPP(c_fequal, _u12893))), _u12891)) = hAPP(hAPP(c_Set_Oinsert(_u12895), _u12893), c_Orderings_Obot__class_Obot(tc_fun(_u12895, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5943, plain, ( hBOOL(hAPP(_u12892, _u12894)) | ( hAPP(c_Set_OCollect(_u12896), hAPP(hAPP(c_COMBS(_u12896, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12896), c_fconj), hAPP(c_fequal, _u12894))), _u12892)) = c_Orderings_Obot__class_Obot(tc_fun(_u12896, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5944, plain, ( ~hBOOL(hAPP(_u12900, _u12902)) | ( hAPP(c_Set_OCollect(_u12904), hAPP(hAPP(c_COMBS(_u12904, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12904), c_fconj), hAPP(hAPP(c_COMBC(_u12904, _u12904, tc_HOL_Obool), c_fequal), _u12902))), _u12900)) = hAPP(hAPP(c_Set_Oinsert(_u12904), _u12902), c_Orderings_Obot__class_Obot(tc_fun(_u12904, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5945, plain, ( hBOOL(hAPP(_u12901, _u12903)) | ( hAPP(c_Set_OCollect(_u12905), hAPP(hAPP(c_COMBS(_u12905, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12905), c_fconj), hAPP(hAPP(c_COMBC(_u12905, _u12905, tc_HOL_Obool), c_fequal), _u12903))), _u12901)) = c_Orderings_Obot__class_Obot(tc_fun(_u12905, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5946, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12906, tc_HOL_Obool)), _u12907), _u12908) = hAPP(c_Set_OCollect(_u12906), hAPP(hAPP(c_COMBS(_u12906, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12906), c_fconj), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12906)), _u12907))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12906), c_fNot), hAPP(hAPP(c_COMBC(_u12906, tc_fun(_u12906, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12906)), _u12908))))) )).
% 29.00/29.25 cnf(matrix-5947, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), hAPP(c_Set_OCollect(_u12909), _u12910))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), hAPP(c_Set_OCollect(_u12909), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12909), c_fNot), _u12910)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), c_Orderings_Otop__class_Otop(tc_fun(_u12909, tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-5948, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), hAPP(c_Set_OCollect(_u12909), _u12910))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), c_Orderings_Otop__class_Otop(tc_fun(_u12909, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12909), hAPP(c_Set_OCollect(_u12909), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12909), c_fNot), _u12910)))) )).
% 29.00/29.25 cnf(matrix-5949, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12911), _u12912), _u12913) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12911, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12911), hAPP(hAPP(c_COMBC(_u12911, _u12911, tc_HOL_Obool), c_fequal), _u12912))), _u12913)) )).
% 29.00/29.25 cnf(matrix-5950, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12914, tc_HOL_Obool)), _u12915) = hAPP(c_Set_OCollect(_u12914), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12914), c_fNot), hAPP(hAPP(c_COMBC(_u12914, tc_fun(_u12914, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12914)), _u12915)))) )).
% 29.00/29.25 cnf(matrix-5951, plain, ( ( hAPP(c_Set_Ovimage(_u12916, _u12917, _u12918), _u12919) = hAPP(c_Set_OCollect(_u12916), hAPP(hAPP(c_COMBC(_u12916, tc_fun(_u12917, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12917, tc_fun(tc_fun(_u12917, tc_HOL_Obool), tc_HOL_Obool), _u12916), c_member(_u12917)), _u12918)), _u12919))) )).
% 29.00/29.25 cnf(matrix-5952, plain, ( ( hAPP(c_Set_OCollect(_u12920), hAPP(hAPP(c_COMBS(_u12920, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12920), c_fimplies), _u12921)), _u12922)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12920, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12920, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12920), _u12921))), hAPP(c_Set_OCollect(_u12920), _u12922))) )).
% 29.00/29.25 cnf(matrix-5953, 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), _u12923)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12924))))) )).
% 29.00/29.25 cnf(matrix-5954, plain, ( ~class_Groups_Ocomm__monoid__add(_u12925) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12926), _u12927)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12928), _u12929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12926, _u12925), hAPP(hAPP(c_COMBS(_u12926, tc_fun(_u12928, tc_HOL_Obool), _u12925), hAPP(hAPP(c_COMBB(tc_fun(_u12928, _u12925), tc_fun(tc_fun(_u12928, tc_HOL_Obool), _u12925), _u12926), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12928, _u12925)), _u12930)), hAPP(hAPP(c_COMBB(tc_fun(_u12928, tc_HOL_Obool), tc_fun(_u12928, tc_HOL_Obool), _u12926), c_Set_OCollect(_u12928)), hAPP(hAPP(c_COMBB(tc_fun(_u12928, tc_HOL_Obool), tc_fun(_u12928, tc_HOL_Obool), _u12926), hAPP(c_COMBS(_u12928, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12928), c_fconj), hAPP(hAPP(c_COMBC(_u12928, tc_fun(_u12928, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12928)), _u12929)))), _u12931)))), _u12927) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12928, _u12925), hAPP(hAPP(c_COMBS(_u12928, tc_fun(_u12926, tc_HOL_Obool), _u12925), hAPP(hAPP(c_COMBB(tc_fun(_u12926, _u12925), tc_fun(tc_fun(_u12926, tc_HOL_Obool), _u12925), _u12928), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12926, _u12925)), hAPP(c_COMBC(_u12926, _u12928, _u12925), _u12930))), hAPP(hAPP(c_COMBB(tc_fun(_u12926, tc_HOL_Obool), tc_fun(_u12926, tc_HOL_Obool), _u12928), c_Set_OCollect(_u12926)), hAPP(hAPP(c_COMBB(tc_fun(_u12926, tc_HOL_Obool), tc_fun(_u12926, tc_HOL_Obool), _u12928), hAPP(c_COMBS(_u12926, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12926), c_fconj), hAPP(hAPP(c_COMBC(_u12926, tc_fun(_u12926, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12926)), _u12927)))), hAPP(c_COMBC(_u12926, _u12928, tc_HOL_Obool), _u12931))))), _u12929)) )).
% 29.00/29.25 cnf(matrix-5955, plain, ( ( hAPP(c_Set_Oimage(_u12932, _u12933, hAPP(hAPP(c_COMBS(_u12932, _u12933, _u12933), hAPP(hAPP(c_COMBS(_u12932, _u12933, tc_fun(_u12933, _u12933)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12933, tc_fun(_u12933, _u12933)), _u12932), c_If(_u12933)), _u12934)), _u12935)), _u12936)), _u12937) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12933, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12932, _u12933, _u12935), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12932, tc_HOL_Obool)), _u12937), hAPP(c_Set_OCollect(_u12932), _u12934)))), hAPP(c_Set_Oimage(_u12932, _u12933, _u12936), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12932, tc_HOL_Obool)), _u12937), hAPP(c_Set_OCollect(_u12932), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12932), c_fNot), _u12934)))))) )).
% 29.00/29.25 cnf(matrix-5956, plain, ( ( _u12938 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12939, _u12940), 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)), _u12941)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12939), _u12938)) )).
% 29.00/29.25 cnf(matrix-5957, plain, ( ~class_Groups_Ocomm__monoid__add(_u12942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12943), _u12944)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12943, _u12942), _u12945), hAPP(c_Set_OCollect(_u12943), hAPP(hAPP(c_COMBS(_u12943, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12943), c_fconj), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12943, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12943)), _u12944))), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12943, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12943)), _u12946)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12943, _u12942), hAPP(hAPP(c_COMBC(_u12943, _u12942, _u12942), hAPP(hAPP(c_COMBS(_u12943, _u12942, tc_fun(_u12942, _u12942)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12942, tc_fun(_u12942, _u12942)), _u12943), c_If(_u12942)), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12943, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12943)), _u12946))), _u12945)), c_Groups_Ozero__class_Ozero(_u12942))), _u12944)) )).
% 29.00/29.25 cnf(matrix-5958, plain, ( ~class_Groups_Ocomm__monoid__add(_u12947) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12948), _u12949)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12948, _u12947), _u12950), _u12949) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12951, _u12947), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_HOL_Obool), _u12947, _u12951), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12948, _u12947), _u12950)), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_HOL_Obool), tc_fun(_u12948, tc_HOL_Obool), _u12951), c_Set_OCollect(_u12948)), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_HOL_Obool), tc_fun(_u12948, tc_HOL_Obool), _u12951), hAPP(c_COMBS(_u12948, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12948), c_fconj), hAPP(hAPP(c_COMBC(_u12948, tc_fun(_u12948, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12948)), _u12949)))), hAPP(c_COMBC(_u12948, _u12951, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12951, tc_fun(_u12951, tc_HOL_Obool), _u12948), c_fequal), _u12952)))))), hAPP(c_Set_Oimage(_u12948, _u12951, _u12952), _u12949))) )).
% 29.00/29.25 cnf(matrix-5959, plain, ( ( hAPP(c_Relation_OImage(_u12953, _u12954, _u12955), hAPP(hAPP(c_Set_Oinsert(_u12953), _u12956), c_Orderings_Obot__class_Obot(tc_fun(_u12953, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u12954), hAPP(hAPP(c_COMBC(_u12954, tc_fun(tc_prod(_u12953, _u12954), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u12953, _u12954), tc_fun(tc_fun(tc_prod(_u12953, _u12954), tc_HOL_Obool), tc_HOL_Obool), _u12954), c_member(tc_prod(_u12953, _u12954))), hAPP(c_Product__Type_OPair(_u12953, _u12954), _u12956))), _u12955))) )).
% 29.00/29.25 cnf(matrix-5960, plain, ( ~class_Groups_Ocomm__monoid__add(_u12957) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12958), _u12959)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12958, _u12957), hAPP(hAPP(c_COMBS(_u12958, _u12957, _u12957), hAPP(hAPP(c_COMBS(_u12958, _u12957, tc_fun(_u12957, _u12957)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12957, tc_fun(_u12957, _u12957)), _u12958), c_If(_u12957)), _u12960)), _u12961)), _u12962)), _u12959) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12957), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12958, _u12957), _u12961), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12958, tc_HOL_Obool)), _u12959), hAPP(c_Set_OCollect(_u12958), _u12960)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12958, _u12957), _u12962), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12958, tc_HOL_Obool)), _u12959), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12958, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12958), _u12960)))))) )).
% 29.00/29.25 cnf(matrix-5961, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12964), _u12965)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12966), _u12967)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12964, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_Nat_Onat, _u12964), c_Finite__Set_Ocard(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_fun(_u12966, tc_HOL_Obool), _u12964), c_Set_OCollect(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_fun(_u12966, tc_HOL_Obool), _u12964), hAPP(c_COMBS(_u12966, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12966), c_fconj), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12966, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12966)), _u12967)))), _u12968)))), _u12965) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12969), hAPP(c_Finite__Set_Ocard(_u12966), _u12967))) | hBOOL(hAPP(hAPP(c_member(_u12966), skolem303(_u12969, _u12968, _u12967, _u12966, _u12965, _u12964)), _u12967)) )).
% 29.00/29.25 cnf(matrix-5962, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12964), _u12965)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12966), _u12967)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12964, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_Nat_Onat, _u12964), c_Finite__Set_Ocard(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_fun(_u12966, tc_HOL_Obool), _u12964), c_Set_OCollect(_u12966)), hAPP(hAPP(c_COMBB(tc_fun(_u12966, tc_HOL_Obool), tc_fun(_u12966, tc_HOL_Obool), _u12964), hAPP(c_COMBS(_u12966, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12966), c_fconj), hAPP(hAPP(c_COMBC(_u12966, tc_fun(_u12966, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12966)), _u12967)))), _u12968)))), _u12965) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12969), hAPP(c_Finite__Set_Ocard(_u12966), _u12967))) | ( hAPP(c_Finite__Set_Ocard(_u12964), hAPP(c_Set_OCollect(_u12964), hAPP(hAPP(c_COMBS(_u12964, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12964), c_fconj), hAPP(hAPP(c_COMBC(_u12964, tc_fun(_u12964, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12964)), _u12965))), hAPP(hAPP(c_COMBC(_u12964, _u12966, tc_HOL_Obool), _u12968), skolem303(_u12969, _u12968, _u12967, _u12966, _u12965, _u12964))))) != _u12969) )).
% 29.00/29.25 cnf(matrix-5963, plain, ( ~class_Orderings_Olinorder(_u12970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12970), _u12971)) | ( _u12971 = c_Orderings_Obot__class_Obot(tc_fun(_u12970, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12970), _u12972), c_Big__Operators_Olattice_OSup__fin(_u12970, c_Orderings_Oord__class_Omax(_u12970), _u12971)) = c_Big__Operators_Olattice_OSup__fin(_u12970, c_Orderings_Oord__class_Omax(_u12970), hAPP(c_Set_OCollect(_u12970), hAPP(hAPP(c_COMBB(tc_fun(_u12970, tc_HOL_Obool), tc_HOL_Obool, _u12970), c_HOL_OEx(_u12970)), hAPP(hAPP(c_COMBC(_u12970, tc_fun(_u12970, tc_HOL_Obool), tc_fun(_u12970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12970, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12970, tc_HOL_Obool), tc_fun(_u12970, tc_HOL_Obool)), _u12970), c_COMBS(_u12970, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12970, tc_HOL_Obool), tc_fun(_u12970, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12970), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12970), c_fconj)), hAPP(hAPP(c_COMBC(_u12970, tc_fun(_u12970, _u12970), tc_fun(_u12970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12970, tc_HOL_Obool), tc_fun(tc_fun(_u12970, _u12970), tc_fun(_u12970, tc_HOL_Obool)), _u12970), c_COMBB(_u12970, tc_HOL_Obool, _u12970)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u12970), _u12972))))), hAPP(hAPP(c_COMBC(_u12970, tc_fun(_u12970, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12970)), _u12971)))))) )).
% 29.00/29.25 cnf(matrix-5964, plain, ( ~class_Orderings_Olinorder(_u12973) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12973), _u12974)) | ( _u12974 = c_Orderings_Obot__class_Obot(tc_fun(_u12973, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12973), _u12975)) | ( _u12975 = c_Orderings_Obot__class_Obot(tc_fun(_u12973, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12973), c_Big__Operators_Olattice_OSup__fin(_u12973, c_Orderings_Oord__class_Omax(_u12973), _u12974)), c_Big__Operators_Olattice_OSup__fin(_u12973, c_Orderings_Oord__class_Omax(_u12973), _u12975)) = c_Big__Operators_Olattice_OSup__fin(_u12973, c_Orderings_Oord__class_Omax(_u12973), hAPP(c_Set_OCollect(_u12973), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_HOL_Obool), tc_HOL_Obool, _u12973), c_HOL_OEx(_u12973)), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool)), tc_fun(_u12973, tc_HOL_Obool), _u12973), hAPP(c_COMBB(tc_fun(_u12973, tc_HOL_Obool), tc_HOL_Obool, _u12973), c_HOL_OEx(_u12973))), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool)), tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_fun(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool))), tc_fun(tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool)), tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool))), _u12973), c_COMBS(_u12973, tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_fun(_u12973, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12973, tc_fun(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool))), _u12973), hAPP(c_COMBB(tc_fun(_u12973, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool)), _u12973), c_COMBS(_u12973, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool)), tc_fun(_u12973, tc_fun(_u12973, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12973), hAPP(c_COMBB(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12973), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12973), c_fconj))), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_fun(_u12973, _u12973)), tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12973, _u12973), tc_fun(_u12973, tc_HOL_Obool)), tc_fun(tc_fun(_u12973, tc_fun(_u12973, _u12973)), tc_fun(_u12973, tc_fun(_u12973, tc_HOL_Obool))), _u12973), c_COMBB(tc_fun(_u12973, _u12973), tc_fun(_u12973, tc_HOL_Obool), _u12973)), hAPP(hAPP(c_COMBB(tc_fun(_u12973, tc_HOL_Obool), tc_fun(tc_fun(_u12973, _u12973), tc_fun(_u12973, tc_HOL_Obool)), _u12973), c_COMBB(_u12973, tc_HOL_Obool, _u12973)), c_fequal))), c_Orderings_Oord__class_Omin(_u12973)))))), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12973, tc_HOL_Obool), tc_fun(_u12973, tc_HOL_Obool)), _u12973), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12973)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12973), c_fconj), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12973)), _u12974)))), hAPP(hAPP(c_COMBC(_u12973, tc_fun(_u12973, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12973)), _u12975)))))))) )).
% 29.00/29.25 cnf(matrix-5965, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12976), _u12977)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12976, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u12976, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12976, tc_HOL_Obool), tc_fun(_u12976, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12976, tc_HOL_Obool))), _u12977)))) )).
% 29.00/29.25 cnf(matrix-5966, plain, ( ( hAPP(c_Set_OPow(_u12978), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12978, tc_HOL_Obool)), _u12979)) = hAPP(c_Set_OCollect(tc_fun(_u12978, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12978, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u12978, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u12978, tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12978, tc_HOL_Obool)), c_COMBS(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12978, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12978, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u12978, tc_HOL_Obool), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_fun(_u12978, tc_HOL_Obool)), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_fun(_u12978, tc_HOL_Obool)), tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12978, tc_HOL_Obool)), c_COMBB(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12978, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u12978, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12978, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12978, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u12978, tc_HOL_Obool)), _u12979)), c_Set_OPow(_u12978)))))) )).
% 29.00/29.25 cnf(matrix-5967, plain, ( ( c_Relation_OId(_u12980) = hAPP(c_Set_OCollect(tc_prod(_u12980, _u12980)), hAPP(hAPP(c_COMBB(tc_fun(_u12980, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u12980, _u12980)), c_HOL_OEx(_u12980)), hAPP(hAPP(c_COMBC(tc_prod(_u12980, _u12980), tc_fun(_u12980, tc_prod(_u12980, _u12980)), tc_fun(_u12980, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12980, _u12980), tc_HOL_Obool), tc_fun(tc_fun(_u12980, tc_prod(_u12980, _u12980)), tc_fun(_u12980, tc_HOL_Obool)), tc_prod(_u12980, _u12980)), c_COMBB(tc_prod(_u12980, _u12980), tc_HOL_Obool, _u12980)), c_fequal)), hAPP(hAPP(c_COMBS(_u12980, _u12980, tc_prod(_u12980, _u12980)), c_Product__Type_OPair(_u12980, _u12980)), c_COMBI(_u12980)))))) )).
% 29.00/29.25 cnf(matrix-5968, plain, ( ( hAPP(c_Set_OPow(_u12981), _u12982) = hAPP(c_Set_OCollect(tc_fun(_u12981, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12981, tc_HOL_Obool), tc_fun(_u12981, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12981, tc_HOL_Obool))), _u12982))) )).
% 29.00/29.25 cnf(matrix-5969, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12983), hAPP(c_Set_OCollect(_u12983), _u12984))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12985), hAPP(c_Set_OCollect(_u12985), hAPP(hAPP(c_COMBB(tc_fun(_u12983, tc_HOL_Obool), tc_HOL_Obool, _u12985), c_HOL_OEx(_u12983)), hAPP(hAPP(c_COMBC(_u12985, tc_fun(_u12983, tc_HOL_Obool), tc_fun(_u12983, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12983, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12983, tc_HOL_Obool), tc_fun(_u12983, tc_HOL_Obool)), _u12985), c_COMBS(_u12983, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12983, tc_HOL_Obool), tc_fun(_u12983, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12985), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12983), c_fconj)), hAPP(hAPP(c_COMBC(_u12985, tc_fun(_u12983, _u12985), tc_fun(_u12983, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12985, tc_HOL_Obool), tc_fun(tc_fun(_u12983, _u12985), tc_fun(_u12983, tc_HOL_Obool)), _u12985), c_COMBB(_u12985, tc_HOL_Obool, _u12983)), c_fequal)), _u12986)))), _u12984))))) )).
% 29.00/29.25 cnf(matrix-5970, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12989), hAPP(c_Set_OCollect(_u12989), _u12990))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_HOL_Obool, _u12991), c_HOL_OEx(_u12989)), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_fun(_u12989, tc_HOL_Obool), _u12991), hAPP(c_COMBS(_u12989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12989), c_fconj), _u12990))), _u12992))))) | ~hBOOL(hAPP(_u12990, _u12987)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBC(_u12991, _u12989, tc_HOL_Obool), _u12992), _u12987)))) )).
% 29.00/29.25 cnf(matrix-5971, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12989), hAPP(c_Set_OCollect(_u12989), _u12990))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_HOL_Obool, _u12991), c_HOL_OEx(_u12989)), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_fun(_u12989, tc_HOL_Obool), _u12991), hAPP(c_COMBS(_u12989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12989), c_fconj), _u12990))), _u12992))))) | hBOOL(hAPP(_u12990, skolem304(_u12992, _u12991, _u12990, _u12989))) )).
% 29.00/29.25 cnf(matrix-5972, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12989), hAPP(c_Set_OCollect(_u12989), _u12990))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_HOL_Obool, _u12991), c_HOL_OEx(_u12989)), hAPP(hAPP(c_COMBB(tc_fun(_u12989, tc_HOL_Obool), tc_fun(_u12989, tc_HOL_Obool), _u12991), hAPP(c_COMBS(_u12989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12989), c_fconj), _u12990))), _u12992))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12991), hAPP(c_Set_OCollect(_u12991), hAPP(hAPP(c_COMBC(_u12991, _u12989, tc_HOL_Obool), _u12992), skolem304(_u12992, _u12991, _u12990, _u12989))))) )).
% 29.00/29.25 cnf(matrix-5973, plain, ( c_Fun_Oinj__on(tc_fun(_u12993, _u12994), tc_fun(tc_prod(_u12993, _u12994), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12993, _u12994), tc_HOL_Obool), tc_fun(tc_prod(_u12993, _u12994), tc_HOL_Obool), tc_fun(_u12993, _u12994)), c_Set_OCollect(tc_prod(_u12993, _u12994))), hAPP(hAPP(c_COMBB(tc_fun(_u12993, tc_fun(_u12994, tc_HOL_Obool)), tc_fun(tc_prod(_u12993, _u12994), tc_HOL_Obool), tc_fun(_u12993, _u12994)), c_Product__Type_Oprod_Oprod__case(_u12993, _u12994, tc_HOL_Obool)), hAPP(c_COMBB(_u12994, tc_fun(_u12994, tc_HOL_Obool), _u12993), hAPP(c_COMBC(_u12994, _u12994, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12993, _u12994), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-5974, 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)))), _u12995))) )).
% 29.00/29.25 cnf(matrix-5975, plain, ( ( c_Wellfounded_Ofinite__psubset(_u12996) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12996, tc_HOL_Obool), tc_fun(_u12996, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12996, tc_HOL_Obool), tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12996, tc_HOL_Obool), tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12996, tc_HOL_Obool)), c_COMBS(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12996, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12996, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12996, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12996, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12996))))) )).
% 29.00/29.25 cnf(matrix-5976, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12997, _u12998), _u12999), _u13000) = hAPP(c_Set_OCollect(tc_prod(_u12998, _u12998)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12998, _u12998, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12998, tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_fun(_u12998, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12998, tc_fun(tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_fun(_u12998, tc_HOL_Obool)), _u12998), c_COMBC(_u12998, tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12998, tc_prod(_u12997, _u12997)), tc_fun(_u12998, tc_fun(tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_HOL_Obool)), _u12998), hAPP(c_COMBB(tc_prod(_u12997, _u12997), tc_fun(tc_fun(tc_prod(_u12997, _u12997), tc_HOL_Obool), tc_HOL_Obool), _u12998), c_member(tc_prod(_u12997, _u12997)))), hAPP(hAPP(c_COMBC(_u12998, tc_fun(_u12998, _u12997), tc_fun(_u12998, tc_prod(_u12997, _u12997))), hAPP(hAPP(c_COMBB(tc_fun(_u12997, tc_prod(_u12997, _u12997)), tc_fun(tc_fun(_u12998, _u12997), tc_fun(_u12998, tc_prod(_u12997, _u12997))), _u12998), c_COMBB(_u12997, tc_prod(_u12997, _u12997), _u12998)), hAPP(hAPP(c_COMBB(_u12997, tc_fun(_u12997, tc_prod(_u12997, _u12997)), _u12998), c_Product__Type_OPair(_u12997, _u12997)), _u13000))), _u13000)))), _u12999)))) )).
% 29.00/29.25 cnf(matrix-5977, 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)))), _u13001)) = 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), _u13001), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 29.00/29.25 cnf(matrix-5978, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u13002) = 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), _u13002), c_Int_Onat))))) )).
% 29.00/29.25 cnf(matrix-5979, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u13003) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13003), _u13004)) | ( _u13004 = c_Orderings_Obot__class_Obot(tc_fun(_u13003, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13003), _u13005), c_Big__Operators_Olinorder__class_OMin(_u13003, _u13004)) = c_Big__Operators_Olinorder__class_OMin(_u13003, hAPP(c_Set_OCollect(_u13003), hAPP(hAPP(c_COMBB(tc_fun(_u13003, tc_HOL_Obool), tc_HOL_Obool, _u13003), c_HOL_OEx(_u13003)), hAPP(hAPP(c_COMBC(_u13003, tc_fun(_u13003, tc_HOL_Obool), tc_fun(_u13003, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13003, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13003, tc_HOL_Obool), tc_fun(_u13003, tc_HOL_Obool)), _u13003), c_COMBS(_u13003, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13003, tc_HOL_Obool), tc_fun(_u13003, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13003), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13003), c_fconj)), hAPP(hAPP(c_COMBC(_u13003, tc_fun(_u13003, _u13003), tc_fun(_u13003, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13003, tc_HOL_Obool), tc_fun(tc_fun(_u13003, _u13003), tc_fun(_u13003, tc_HOL_Obool)), _u13003), c_COMBB(_u13003, tc_HOL_Obool, _u13003)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u13003), _u13005))))), hAPP(hAPP(c_COMBC(_u13003, tc_fun(_u13003, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13003)), _u13004)))))) )).
% 29.00/29.25 cnf(matrix-5980, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u13006) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13006), _u13007)) | ( _u13007 = c_Orderings_Obot__class_Obot(tc_fun(_u13006, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u13006), _u13008), c_Big__Operators_Olinorder__class_OMax(_u13006, _u13007)) = c_Big__Operators_Olinorder__class_OMax(_u13006, hAPP(c_Set_OCollect(_u13006), hAPP(hAPP(c_COMBB(tc_fun(_u13006, tc_HOL_Obool), tc_HOL_Obool, _u13006), c_HOL_OEx(_u13006)), hAPP(hAPP(c_COMBC(_u13006, tc_fun(_u13006, tc_HOL_Obool), tc_fun(_u13006, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13006, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13006, tc_HOL_Obool), tc_fun(_u13006, tc_HOL_Obool)), _u13006), c_COMBS(_u13006, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13006, tc_HOL_Obool), tc_fun(_u13006, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13006), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13006), c_fconj)), hAPP(hAPP(c_COMBC(_u13006, tc_fun(_u13006, _u13006), tc_fun(_u13006, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13006, tc_HOL_Obool), tc_fun(tc_fun(_u13006, _u13006), tc_fun(_u13006, tc_HOL_Obool)), _u13006), c_COMBB(_u13006, tc_HOL_Obool, _u13006)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u13006), _u13008))))), hAPP(hAPP(c_COMBC(_u13006, tc_fun(_u13006, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13006)), _u13007)))))) )).
% 29.00/29.25 cnf(matrix-5981, plain, ( ~class_Lattices_Odistrib__lattice(_u13009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13009), _u13010)) | ( _u13010 = c_Orderings_Obot__class_Obot(tc_fun(_u13009, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u13009), _u13011), c_Big__Operators_Olattice__class_OInf__fin(_u13009, _u13010)) = c_Big__Operators_Olattice__class_OInf__fin(_u13009, hAPP(c_Set_OCollect(_u13009), hAPP(hAPP(c_COMBB(tc_fun(_u13009, tc_HOL_Obool), tc_HOL_Obool, _u13009), c_HOL_OEx(_u13009)), hAPP(hAPP(c_COMBC(_u13009, tc_fun(_u13009, tc_HOL_Obool), tc_fun(_u13009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13009, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13009, tc_HOL_Obool), tc_fun(_u13009, tc_HOL_Obool)), _u13009), c_COMBS(_u13009, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13009, tc_HOL_Obool), tc_fun(_u13009, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13009), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13009), c_fconj)), hAPP(hAPP(c_COMBC(_u13009, tc_fun(_u13009, _u13009), tc_fun(_u13009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13009, tc_HOL_Obool), tc_fun(tc_fun(_u13009, _u13009), tc_fun(_u13009, tc_HOL_Obool)), _u13009), c_COMBB(_u13009, tc_HOL_Obool, _u13009)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u13009), _u13011))))), hAPP(hAPP(c_COMBC(_u13009, tc_fun(_u13009, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13009)), _u13010)))))) )).
% 29.00/29.25 cnf(matrix-5982, plain, ( ~class_Lattices_Odistrib__lattice(_u13012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13012), _u13013)) | ( _u13013 = c_Orderings_Obot__class_Obot(tc_fun(_u13012, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13012), _u13014)) | ( _u13014 = c_Orderings_Obot__class_Obot(tc_fun(_u13012, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u13012), c_Big__Operators_Olattice__class_OInf__fin(_u13012, _u13013)), c_Big__Operators_Olattice__class_OInf__fin(_u13012, _u13014)) = c_Big__Operators_Olattice__class_OInf__fin(_u13012, hAPP(c_Set_OCollect(_u13012), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_HOL_Obool), tc_HOL_Obool, _u13012), c_HOL_OEx(_u13012)), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool)), tc_fun(_u13012, tc_HOL_Obool), _u13012), hAPP(c_COMBB(tc_fun(_u13012, tc_HOL_Obool), tc_HOL_Obool, _u13012), c_HOL_OEx(_u13012))), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool)), tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_fun(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool))), tc_fun(tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool)), tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool))), _u13012), c_COMBS(_u13012, tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_fun(_u13012, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13012, tc_fun(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool))), _u13012), hAPP(c_COMBB(tc_fun(_u13012, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool)), _u13012), c_COMBS(_u13012, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool)), tc_fun(_u13012, tc_fun(_u13012, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13012), hAPP(c_COMBB(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13012), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13012), c_fconj))), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_fun(_u13012, _u13012)), tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13012, _u13012), tc_fun(_u13012, tc_HOL_Obool)), tc_fun(tc_fun(_u13012, tc_fun(_u13012, _u13012)), tc_fun(_u13012, tc_fun(_u13012, tc_HOL_Obool))), _u13012), c_COMBB(tc_fun(_u13012, _u13012), tc_fun(_u13012, tc_HOL_Obool), _u13012)), hAPP(hAPP(c_COMBB(tc_fun(_u13012, tc_HOL_Obool), tc_fun(tc_fun(_u13012, _u13012), tc_fun(_u13012, tc_HOL_Obool)), _u13012), c_COMBB(_u13012, tc_HOL_Obool, _u13012)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u13012)))))), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13012, tc_HOL_Obool), tc_fun(_u13012, tc_HOL_Obool)), _u13012), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13012)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13012), c_fconj), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13012)), _u13013)))), hAPP(hAPP(c_COMBC(_u13012, tc_fun(_u13012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13012)), _u13014)))))))) )).
% 29.00/29.25 cnf(matrix-5983, plain, ( ~class_Lattices_Odistrib__lattice(_u13015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13015), _u13016)) | ( _u13016 = c_Orderings_Obot__class_Obot(tc_fun(_u13015, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13015), _u13017)) | ( _u13017 = c_Orderings_Obot__class_Obot(tc_fun(_u13015, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13015), c_Big__Operators_Olattice__class_OSup__fin(_u13015, _u13016)), c_Big__Operators_Olattice__class_OSup__fin(_u13015, _u13017)) = c_Big__Operators_Olattice__class_OSup__fin(_u13015, hAPP(c_Set_OCollect(_u13015), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_HOL_Obool), tc_HOL_Obool, _u13015), c_HOL_OEx(_u13015)), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool)), tc_fun(_u13015, tc_HOL_Obool), _u13015), hAPP(c_COMBB(tc_fun(_u13015, tc_HOL_Obool), tc_HOL_Obool, _u13015), c_HOL_OEx(_u13015))), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool)), tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_fun(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool))), tc_fun(tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool)), tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool))), _u13015), c_COMBS(_u13015, tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_fun(_u13015, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13015, tc_fun(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool))), _u13015), hAPP(c_COMBB(tc_fun(_u13015, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool)), _u13015), c_COMBS(_u13015, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool)), tc_fun(_u13015, tc_fun(_u13015, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13015), hAPP(c_COMBB(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13015), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13015), c_fconj))), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_fun(_u13015, _u13015)), tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13015, _u13015), tc_fun(_u13015, tc_HOL_Obool)), tc_fun(tc_fun(_u13015, tc_fun(_u13015, _u13015)), tc_fun(_u13015, tc_fun(_u13015, tc_HOL_Obool))), _u13015), c_COMBB(tc_fun(_u13015, _u13015), tc_fun(_u13015, tc_HOL_Obool), _u13015)), hAPP(hAPP(c_COMBB(tc_fun(_u13015, tc_HOL_Obool), tc_fun(tc_fun(_u13015, _u13015), tc_fun(_u13015, tc_HOL_Obool)), _u13015), c_COMBB(_u13015, tc_HOL_Obool, _u13015)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u13015)))))), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13015, tc_HOL_Obool), tc_fun(_u13015, tc_HOL_Obool)), _u13015), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13015)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13015), c_fconj), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13015)), _u13016)))), hAPP(hAPP(c_COMBC(_u13015, tc_fun(_u13015, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13015)), _u13017)))))))) )).
% 29.00/29.25 cnf(matrix-5984, plain, ( ~class_Lattices_Odistrib__lattice(_u13018) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13018), _u13019)) | ( _u13019 = c_Orderings_Obot__class_Obot(tc_fun(_u13018, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13018), _u13020), c_Big__Operators_Olattice__class_OSup__fin(_u13018, _u13019)) = c_Big__Operators_Olattice__class_OSup__fin(_u13018, hAPP(c_Set_OCollect(_u13018), hAPP(hAPP(c_COMBB(tc_fun(_u13018, tc_HOL_Obool), tc_HOL_Obool, _u13018), c_HOL_OEx(_u13018)), hAPP(hAPP(c_COMBC(_u13018, tc_fun(_u13018, tc_HOL_Obool), tc_fun(_u13018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13018, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13018, tc_HOL_Obool), tc_fun(_u13018, tc_HOL_Obool)), _u13018), c_COMBS(_u13018, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13018, tc_HOL_Obool), tc_fun(_u13018, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13018), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13018), c_fconj)), hAPP(hAPP(c_COMBC(_u13018, tc_fun(_u13018, _u13018), tc_fun(_u13018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13018, tc_HOL_Obool), tc_fun(tc_fun(_u13018, _u13018), tc_fun(_u13018, tc_HOL_Obool)), _u13018), c_COMBB(_u13018, tc_HOL_Obool, _u13018)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u13018), _u13020))))), hAPP(hAPP(c_COMBC(_u13018, tc_fun(_u13018, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13018)), _u13019)))))) )).
% 29.00/29.25 cnf(matrix-5985, plain, ( ~class_Orderings_Olinorder(_u13021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13021), _u13022)) | ( _u13022 = c_Orderings_Obot__class_Obot(tc_fun(_u13021, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13021), _u13023)) | ( _u13023 = c_Orderings_Obot__class_Obot(tc_fun(_u13021, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u13021), c_Big__Operators_Olattice_OInf__fin(_u13021, c_Orderings_Oord__class_Omin(_u13021), _u13022)), c_Big__Operators_Olattice_OInf__fin(_u13021, c_Orderings_Oord__class_Omin(_u13021), _u13023)) = c_Big__Operators_Olattice_OInf__fin(_u13021, c_Orderings_Oord__class_Omin(_u13021), hAPP(c_Set_OCollect(_u13021), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_HOL_Obool), tc_HOL_Obool, _u13021), c_HOL_OEx(_u13021)), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool)), tc_fun(_u13021, tc_HOL_Obool), _u13021), hAPP(c_COMBB(tc_fun(_u13021, tc_HOL_Obool), tc_HOL_Obool, _u13021), c_HOL_OEx(_u13021))), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool)), tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_fun(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool))), tc_fun(tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool)), tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool))), _u13021), c_COMBS(_u13021, tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_fun(_u13021, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13021, tc_fun(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool))), _u13021), hAPP(c_COMBB(tc_fun(_u13021, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool)), _u13021), c_COMBS(_u13021, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool)), tc_fun(_u13021, tc_fun(_u13021, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13021), hAPP(c_COMBB(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13021), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13021), c_fconj))), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_fun(_u13021, _u13021)), tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13021, _u13021), tc_fun(_u13021, tc_HOL_Obool)), tc_fun(tc_fun(_u13021, tc_fun(_u13021, _u13021)), tc_fun(_u13021, tc_fun(_u13021, tc_HOL_Obool))), _u13021), c_COMBB(tc_fun(_u13021, _u13021), tc_fun(_u13021, tc_HOL_Obool), _u13021)), hAPP(hAPP(c_COMBB(tc_fun(_u13021, tc_HOL_Obool), tc_fun(tc_fun(_u13021, _u13021), tc_fun(_u13021, tc_HOL_Obool)), _u13021), c_COMBB(_u13021, tc_HOL_Obool, _u13021)), c_fequal))), c_Orderings_Oord__class_Omax(_u13021)))))), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13021, tc_HOL_Obool), tc_fun(_u13021, tc_HOL_Obool)), _u13021), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13021)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13021), c_fconj), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13021)), _u13022)))), hAPP(hAPP(c_COMBC(_u13021, tc_fun(_u13021, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13021)), _u13023)))))))) )).
% 29.00/29.25 cnf(matrix-5986, plain, ( ~class_Orderings_Olinorder(_u13024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13024), _u13025)) | ( _u13025 = c_Orderings_Obot__class_Obot(tc_fun(_u13024, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u13024), _u13026), c_Big__Operators_Olattice_OInf__fin(_u13024, c_Orderings_Oord__class_Omin(_u13024), _u13025)) = c_Big__Operators_Olattice_OInf__fin(_u13024, c_Orderings_Oord__class_Omin(_u13024), hAPP(c_Set_OCollect(_u13024), hAPP(hAPP(c_COMBB(tc_fun(_u13024, tc_HOL_Obool), tc_HOL_Obool, _u13024), c_HOL_OEx(_u13024)), hAPP(hAPP(c_COMBC(_u13024, tc_fun(_u13024, tc_HOL_Obool), tc_fun(_u13024, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13024, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13024, tc_HOL_Obool), tc_fun(_u13024, tc_HOL_Obool)), _u13024), c_COMBS(_u13024, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13024, tc_HOL_Obool), tc_fun(_u13024, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13024), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13024), c_fconj)), hAPP(hAPP(c_COMBC(_u13024, tc_fun(_u13024, _u13024), tc_fun(_u13024, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13024, tc_HOL_Obool), tc_fun(tc_fun(_u13024, _u13024), tc_fun(_u13024, tc_HOL_Obool)), _u13024), c_COMBB(_u13024, tc_HOL_Obool, _u13024)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u13024), _u13026))))), hAPP(hAPP(c_COMBC(_u13024, tc_fun(_u13024, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13024)), _u13025)))))) )).
% 29.00/29.25 cnf(matrix-5987, plain, ( ( c_Nitpick_Oprod(_u13027, _u13028, _u13029, _u13030) = hAPP(c_Set_OCollect(tc_prod(_u13027, _u13028)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13027, _u13028, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13027, tc_fun(_u13028, tc_HOL_Obool), tc_fun(_u13028, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13028, tc_HOL_Obool), tc_fun(_u13028, tc_HOL_Obool)), _u13027), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13028)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13027), c_fconj), hAPP(hAPP(c_COMBC(_u13027, tc_fun(_u13027, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13027)), _u13029)))), hAPP(hAPP(c_COMBC(_u13028, tc_fun(_u13028, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13028)), _u13030))))) )).
% 29.00/29.25 cnf(matrix-5988, plain, ( ( c_Int_Oint__ge__less__than(_u13031) = 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), _u13031)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 29.00/29.25 cnf(matrix-5989, plain, ( ( c_Int_Oint__ge__less__than2(_u13032) = 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), _u13032)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 29.00/29.25 cnf(matrix-5990, plain, ( ~c_Predicate_Oreflp(_u13035, _u13037) | c_Relation_Orefl__on(_u13035, c_Orderings_Otop__class_Otop(tc_fun(_u13035, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13035, _u13035)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13035, _u13035, tc_HOL_Obool), _u13037))) )).
% 29.00/29.25 cnf(matrix-5991, plain, ( ~c_Relation_Orefl__on(_u13036, c_Orderings_Otop__class_Otop(tc_fun(_u13036, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13036, _u13036)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13036, _u13036, tc_HOL_Obool), _u13038))) | c_Predicate_Oreflp(_u13036, _u13038) )).
% 29.00/29.25 cnf(matrix-5992, plain, ( ~class_Rings_Osemiring__0(_u13039) | ~c_Fun_Oinj__on(tc_prod(_u13040, _u13041), _u13039, hAPP(c_Product__Type_Oprod_Oprod__case(_u13040, _u13041, _u13039), hAPP(hAPP(c_COMBC(_u13040, tc_fun(_u13041, _u13039), tc_fun(_u13041, _u13039)), hAPP(hAPP(c_COMBB(tc_fun(_u13039, _u13039), tc_fun(tc_fun(_u13041, _u13039), tc_fun(_u13041, _u13039)), _u13040), c_COMBB(_u13039, _u13039, _u13041)), hAPP(hAPP(c_COMBB(_u13039, tc_fun(_u13039, _u13039), _u13040), c_Groups_Otimes__class_Otimes(_u13039)), _u13042))), _u13043)), hAPP(hAPP(c_Product__Type_OSigma(_u13040, _u13041), _u13044), hAPP(c_COMBK(tc_fun(_u13041, tc_HOL_Obool), _u13040), _u13045))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13039), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13040, _u13039), _u13042), _u13044)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13041, _u13039), _u13043), _u13045)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13039, _u13039), c_Fun_Oid(_u13039)), hAPP(c_Set_OCollect(_u13039), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_HOL_Obool), tc_HOL_Obool, _u13039), c_HOL_OEx(_u13040)), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool)), tc_fun(_u13040, tc_HOL_Obool), _u13039), hAPP(c_COMBB(tc_fun(_u13041, tc_HOL_Obool), tc_HOL_Obool, _u13040), c_HOL_OEx(_u13041))), hAPP(hAPP(c_COMBC(_u13039, tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool)), tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_fun(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool))), tc_fun(tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool)), tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool))), _u13039), c_COMBS(_u13040, tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_fun(_u13041, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13040, tc_fun(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool))), _u13039), hAPP(c_COMBB(tc_fun(_u13041, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool)), _u13040), c_COMBS(_u13041, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool)), tc_fun(_u13040, tc_fun(_u13041, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13039), hAPP(c_COMBB(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13040), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13041), c_fconj))), hAPP(hAPP(c_COMBC(_u13039, tc_fun(_u13040, tc_fun(_u13041, _u13039)), tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13041, _u13039), tc_fun(_u13041, tc_HOL_Obool)), tc_fun(tc_fun(_u13040, tc_fun(_u13041, _u13039)), tc_fun(_u13040, tc_fun(_u13041, tc_HOL_Obool))), _u13039), c_COMBB(tc_fun(_u13041, _u13039), tc_fun(_u13041, tc_HOL_Obool), _u13040)), hAPP(hAPP(c_COMBB(tc_fun(_u13039, tc_HOL_Obool), tc_fun(tc_fun(_u13041, _u13039), tc_fun(_u13041, tc_HOL_Obool)), _u13039), c_COMBB(_u13039, tc_HOL_Obool, _u13041)), c_fequal))), hAPP(hAPP(c_COMBC(_u13040, tc_fun(_u13041, _u13039), tc_fun(_u13041, _u13039)), hAPP(hAPP(c_COMBB(tc_fun(_u13039, _u13039), tc_fun(tc_fun(_u13041, _u13039), tc_fun(_u13041, _u13039)), _u13040), c_COMBB(_u13039, _u13039, _u13041)), hAPP(hAPP(c_COMBB(_u13039, tc_fun(_u13039, _u13039), _u13040), c_Groups_Otimes__class_Otimes(_u13039)), _u13042))), _u13043)))))), hAPP(hAPP(c_COMBC(_u13040, tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13041, tc_HOL_Obool), tc_fun(_u13041, tc_HOL_Obool)), _u13040), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13041)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13040), c_fconj), hAPP(hAPP(c_COMBC(_u13040, tc_fun(_u13040, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13040)), _u13044)))), hAPP(hAPP(c_COMBC(_u13041, tc_fun(_u13041, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13041)), _u13045)))))))) )).
% 29.00/29.25 cnf(matrix-5993, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13046)), c_List_Osublist(_u13046, _u13047, _u13048)) = 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(_u13046)), _u13047)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u13048))))) )).
% 29.00/29.25 cnf(matrix-5994, plain, ( c_Fun_Oinj__on(_u13049, _u13049, c_Fun_Oid(_u13049), _u13050) )).
% 29.00/29.25 cnf(matrix-5995, plain, ( ( hAPP(c_Fun_Ocomp(_u13051, _u13051, _u13052, c_Fun_Oid(_u13051)), _u13053) = _u13053) )).
% 29.00/29.25 cnf(matrix-5996, plain, ( ( hAPP(c_Fun_Ocomp(_u13054, _u13055, _u13054, _u13056), c_Fun_Oid(_u13054)) = _u13056) )).
% 29.00/29.25 cnf(matrix-5997, plain, ( ( hAPP(_u13060, hAPP(_u13061, _u13063)) = hAPP(_u13062, _u13063)) | ( hAPP(c_Fun_Ocomp(_u13057, _u13058, _u13059, _u13060), _u13061) != hAPP(c_Fun_Ocomp(_u13058, _u13058, _u13059, c_Fun_Oid(_u13058)), _u13062)) )).
% 29.00/29.25 cnf(matrix-5998, plain, ( ( c_Product__Type_Oapfst(_u13064, _u13064, _u13065, c_Fun_Oid(_u13064)) = c_Fun_Oid(tc_prod(_u13064, _u13065))) )).
% 29.00/29.25 cnf(matrix-5999, plain, ( ( hAPP(c_Fun_Oid(_u13066), _u13067) = _u13067) )).
% 29.00/29.25 cnf(matrix-6000, plain, ( ( hAPP(c_Fun_Oid(_u13068), _u13069) = _u13069) )).
% 29.00/29.25 cnf(matrix-6001, plain, ( ( c_Product__Type_Oapsnd(_u13070, _u13070, _u13071, c_Fun_Oid(_u13070)) = c_Fun_Oid(tc_prod(_u13071, _u13070))) )).
% 29.00/29.25 cnf(matrix-6002, plain, ( hBOOL(hAPP(hAPP(_u13073, _u13074), _u13074)) | ~c_Predicate_Oreflp(_u13072, _u13073) )).
% 29.00/29.25 cnf(matrix-6003, plain, ( ( _u13076 != _u13077) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13075)), _u13076) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13075)), _u13077)) )).
% 29.00/29.25 cnf(matrix-6004, plain, ( ( hAPP(c_Set_Ovimage(_u13078, _u13078, c_Fun_Oid(_u13078)), _u13079) = _u13079) )).
% 29.00/29.25 cnf(matrix-6005, plain, ( ( c_Product__Type_Omap__pair(_u13080, _u13080, _u13081, _u13081, c_Fun_Oid(_u13080), c_Fun_Oid(_u13081)) = c_Fun_Oid(tc_prod(_u13080, _u13081))) )).
% 29.00/29.25 cnf(matrix-6006, plain, ( ( c_Product__Type_Omap__pair(_u13082, _u13082, _u13083, _u13083, c_COMBI(_u13082), c_COMBI(_u13083)) = c_Fun_Oid(tc_prod(_u13082, _u13083))) )).
% 29.00/29.25 cnf(matrix-6007, plain, ( ( hAPP(c_Set_Oimage(_u13084, _u13084, c_Fun_Oid(_u13084)), _u13085) = _u13085) )).
% 29.00/29.25 cnf(matrix-6008, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 29.00/29.25 cnf(matrix-6009, plain, ( ( hAPP(c_Set_Oimage(_u13086, _u13086, c_Fun_Oid(_u13086)), c_Orderings_Otop__class_Otop(tc_fun(_u13086, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13086, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6010, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u13087, _u13087), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13088) = c_Fun_Oid(_u13087)) )).
% 29.00/29.25 cnf(matrix-6011, plain, ( ~c_Finite__Set_Ofolding(_u13089, _u13090, _u13091, _u13092) | ( hAPP(_u13092, c_Orderings_Obot__class_Obot(tc_fun(_u13089, tc_HOL_Obool))) = c_Fun_Oid(_u13090)) )).
% 29.00/29.25 cnf(matrix-6012, plain, ( ( c_Product__Type_Oapfst(_u13093, _u13094, _u13095, _u13096) = c_Product__Type_Omap__pair(_u13093, _u13094, _u13095, _u13095, _u13096, c_Fun_Oid(_u13095))) )).
% 29.00/29.25 cnf(matrix-6013, plain, ( ( c_Product__Type_Oapsnd(_u13097, _u13098, _u13099, _u13100) = c_Product__Type_Omap__pair(_u13099, _u13099, _u13097, _u13098, c_Fun_Oid(_u13099), _u13100)) )).
% 29.00/29.25 cnf(matrix-6014, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13101, _u13102, tc_prod(_u13101, _u13102)), c_Product__Type_OPair(_u13101, _u13102)) = c_Fun_Oid(tc_prod(_u13101, _u13102))) )).
% 29.00/29.25 cnf(matrix-6015, plain, ( ~class_Groups_Ocomm__monoid__add(_u13103) | ~c_Fun_Oinj__on(_u13104, _u13103, _u13105, _u13106) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13104, _u13103), _u13105), _u13106) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13103, _u13103), c_Fun_Oid(_u13103)), hAPP(c_Set_Oimage(_u13104, _u13103, _u13105), _u13106))) )).
% 29.00/29.25 cnf(matrix-6016, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13107) | ~c_Fun_Oinj__on(_u13108, _u13107, _u13109, _u13110) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13108, _u13107), _u13109), _u13110) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13107, _u13107), c_Fun_Oid(_u13107)), hAPP(c_Set_Oimage(_u13108, _u13107, _u13109), _u13110))) )).
% 29.00/29.25 cnf(matrix-6017, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13112), _u13113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13114), _u13115)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13112, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_Nat_Onat, _u13112), c_Finite__Set_Ocard(_u13114)), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_fun(_u13114, tc_HOL_Obool), _u13112), c_Set_OCollect(_u13114)), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_fun(_u13114, tc_HOL_Obool), _u13112), hAPP(c_COMBS(_u13114, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13114), c_fconj), hAPP(hAPP(c_COMBC(_u13114, tc_fun(_u13114, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13114)), _u13115)))), _u13116)))), _u13113) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13114, tc_Nat_Onat), _u13117), _u13115)) | hBOOL(hAPP(hAPP(c_member(_u13114), skolem305(_u13117, _u13116, _u13115, _u13114, _u13113, _u13112)), _u13115)) )).
% 29.00/29.25 cnf(matrix-6018, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13112), _u13113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13114), _u13115)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13112, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_Nat_Onat, _u13112), c_Finite__Set_Ocard(_u13114)), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_fun(_u13114, tc_HOL_Obool), _u13112), c_Set_OCollect(_u13114)), hAPP(hAPP(c_COMBB(tc_fun(_u13114, tc_HOL_Obool), tc_fun(_u13114, tc_HOL_Obool), _u13112), hAPP(c_COMBS(_u13114, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13114), c_fconj), hAPP(hAPP(c_COMBC(_u13114, tc_fun(_u13114, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13114)), _u13115)))), _u13116)))), _u13113) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13114, tc_Nat_Onat), _u13117), _u13115)) | ( hAPP(c_Finite__Set_Ocard(_u13112), hAPP(c_Set_OCollect(_u13112), hAPP(hAPP(c_COMBS(_u13112, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13112), c_fconj), hAPP(hAPP(c_COMBC(_u13112, tc_fun(_u13112, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13112)), _u13113))), hAPP(hAPP(c_COMBC(_u13112, _u13114, tc_HOL_Obool), _u13116), skolem305(_u13117, _u13116, _u13115, _u13114, _u13113, _u13112))))) != hAPP(_u13117, skolem305(_u13117, _u13116, _u13115, _u13114, _u13113, _u13112))) )).
% 29.00/29.25 cnf(matrix-6019, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13124), _u13126)) | ( _u13126 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u13124, skolem307(_u13126, _u13124)), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), skolem306(_u13126, _u13124))))) )).
% 29.00/29.25 cnf(matrix-6020, plain, ( ( _u13127 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u13125, _u13120), 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)), _u13121)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13125), _u13127)) )).
% 29.00/29.25 cnf(matrix-6021, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13128, _u13129, _u13130), _u13131), _u13132) = hAPP(c_Set_OCollect(tc_prod(_u13128, _u13130)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13128, _u13130, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool)), tc_fun(_u13130, tc_HOL_Obool), _u13128), hAPP(c_COMBB(tc_fun(_u13129, tc_HOL_Obool), tc_HOL_Obool, _u13130), c_HOL_OEx(_u13129))), hAPP(hAPP(c_COMBC(_u13128, tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool)), tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13129, tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), tc_fun(tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool)), tc_fun(_u13130, tc_fun(_u13129, tc_HOL_Obool))), _u13128), c_COMBB(tc_fun(_u13129, tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool), _u13130)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13129, tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), _u13128), c_COMBS(_u13129, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_HOL_Obool), tc_fun(_u13129, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13128), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13129), c_fconj)), hAPP(hAPP(c_COMBC(_u13128, tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_fun(tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), _u13128), c_COMBC(_u13129, tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_prod(_u13128, _u13129)), tc_fun(_u13129, tc_fun(tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_HOL_Obool)), _u13128), hAPP(c_COMBB(tc_prod(_u13128, _u13129), tc_fun(tc_fun(tc_prod(_u13128, _u13129), tc_HOL_Obool), tc_HOL_Obool), _u13129), c_member(tc_prod(_u13128, _u13129)))), c_Product__Type_OPair(_u13128, _u13129)))), _u13131))))), hAPP(hAPP(c_COMBC(_u13130, tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_fun(tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_fun(_u13129, tc_HOL_Obool)), _u13130), c_COMBC(_u13129, tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13129, tc_prod(_u13129, _u13130)), tc_fun(_u13129, tc_fun(tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_HOL_Obool)), _u13130), hAPP(c_COMBB(tc_prod(_u13129, _u13130), tc_fun(tc_fun(tc_prod(_u13129, _u13130), tc_HOL_Obool), tc_HOL_Obool), _u13129), c_member(tc_prod(_u13129, _u13130)))), hAPP(c_COMBC(_u13129, _u13130, tc_prod(_u13129, _u13130)), c_Product__Type_OPair(_u13129, _u13130))))), _u13132)))))) )).
% 29.00/29.25 cnf(matrix-6022, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13133, _u13134)), hAPP(hAPP(c_Product__Type_OPair(_u13133, _u13134), _u13135), _u13136)), _u13137)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13134, _u13138)), hAPP(hAPP(c_Product__Type_OPair(_u13134, _u13138), _u13136), _u13139)), _u13140)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13133, _u13138)), hAPP(hAPP(c_Product__Type_OPair(_u13133, _u13138), _u13135), _u13139)), hAPP(hAPP(c_Relation_Orel__comp(_u13133, _u13134, _u13138), _u13137), _u13140))) )).
% 29.00/29.25 cnf(matrix-6023, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13141, _u13142, _u13143), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13144, tc_fun(tc_prod(_u13141, _u13142), tc_HOL_Obool)), _u13145), _u13146)), _u13147) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13144, tc_fun(tc_prod(_u13141, _u13143), tc_HOL_Obool)), _u13145), hAPP(hAPP(c_COMBC(_u13144, tc_fun(tc_prod(_u13142, _u13143), tc_HOL_Obool), tc_fun(tc_prod(_u13141, _u13143), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13141, _u13142), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13142, _u13143), tc_HOL_Obool), tc_fun(tc_prod(_u13141, _u13143), tc_HOL_Obool)), _u13144), c_Relation_Orel__comp(_u13141, _u13142, _u13143)), _u13146)), _u13147))) )).
% 29.00/29.25 cnf(matrix-6024, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13148, _u13149, _u13150), _u13151), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13152, tc_fun(tc_prod(_u13149, _u13150), tc_HOL_Obool)), _u13153), _u13154)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13152, tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool)), _u13153), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13149, _u13150), tc_HOL_Obool), tc_fun(tc_prod(_u13148, _u13150), tc_HOL_Obool), _u13152), hAPP(c_Relation_Orel__comp(_u13148, _u13149, _u13150), _u13151)), _u13154))) )).
% 29.00/29.25 cnf(matrix-6025, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13155, _u13155, _u13155), _u13156), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13155, _u13155), tc_HOL_Obool), _u13157), _u13156)) = hAPP(hAPP(c_Relation_Orel__comp(_u13155, _u13155, _u13155), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13155, _u13155), tc_HOL_Obool), _u13157), _u13156)), _u13156)) )).
% 29.00/29.25 cnf(matrix-6026, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13158, _u13159, _u13159), _u13160), c_Relation_OId(_u13159)) = _u13160) )).
% 29.00/29.25 cnf(matrix-6027, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13161, _u13161, _u13162), c_Relation_OId(_u13161)), _u13163) = _u13163) )).
% 29.00/29.25 cnf(matrix-6028, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13164, _u13165, _u13166), hAPP(hAPP(c_Relation_Orel__comp(_u13164, _u13167, _u13165), _u13168), _u13169)), _u13170) = hAPP(hAPP(c_Relation_Orel__comp(_u13164, _u13167, _u13166), _u13168), hAPP(hAPP(c_Relation_Orel__comp(_u13167, _u13165, _u13166), _u13169), _u13170))) )).
% 29.00/29.25 cnf(matrix-6029, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13171, _u13172, _u13173), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13171, _u13172), tc_HOL_Obool))), _u13174) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13171, _u13173), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6030, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13175, _u13176, _u13177), _u13178), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13176, _u13177), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13175, _u13177), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6031, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13179, _u13180), tc_HOL_Obool)), _u13181), _u13182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13180, _u13183), tc_HOL_Obool)), _u13184), _u13185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13179, _u13183), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13179, _u13180, _u13183), _u13181), _u13184)), hAPP(hAPP(c_Relation_Orel__comp(_u13179, _u13180, _u13183), _u13182), _u13185))) )).
% 29.00/29.25 cnf(matrix-6032, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13186, _u13187, _u13188), _u13189), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), _u13190), _u13191)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13186, _u13187, _u13188), _u13189), _u13190)), hAPP(hAPP(c_Relation_Orel__comp(_u13186, _u13187, _u13188), _u13189), _u13191))) )).
% 29.00/29.25 cnf(matrix-6033, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13192, _u13193, _u13194), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13192, _u13193), tc_HOL_Obool)), _u13195), _u13196)), _u13197) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13192, _u13194), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13192, _u13193, _u13194), _u13195), _u13197)), hAPP(hAPP(c_Relation_Orel__comp(_u13192, _u13193, _u13194), _u13196), _u13197))) )).
% 29.00/29.25 cnf(matrix-6034, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13198, _u13198), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u13199)), _u13200) = hAPP(hAPP(c_Relation_Orel__comp(_u13198, _u13198, _u13198), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13198, _u13198), tc_HOL_Obool), _u13199), _u13200)), _u13200)) )).
% 29.00/29.25 cnf(matrix-6035, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13201, _u13201), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u13202), _u13203)), _u13204) = hAPP(hAPP(c_Relation_Orel__comp(_u13201, _u13201, _u13201), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13201, _u13201), tc_HOL_Obool), _u13202), _u13204)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13201, _u13201), tc_HOL_Obool), _u13203), _u13204))) )).
% 29.00/29.25 cnf(matrix-6036, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13205, _u13205, _u13205), _u13206), _u13207) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13205, _u13205), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13205, _u13205, _u13205), _u13206), _u13208) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13205, _u13205), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13205, _u13205, _u13205), _u13206), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13205, _u13205), tc_HOL_Obool)), _u13207), _u13208)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13205, _u13205), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6037, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13209, _u13209, _u13209), _u13210), _u13211) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13209, _u13209, _u13209), _u13212), _u13211) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13209, _u13209, _u13209), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool)), _u13210), _u13212)), _u13211) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6038, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13213, _u13214), tc_HOL_Obool)), _u13215), hAPP(hAPP(c_Product__Type_OSigma(_u13213, _u13214), _u13216), hAPP(c_COMBK(tc_fun(_u13214, tc_HOL_Obool), _u13213), _u13217)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13214, _u13218), tc_HOL_Obool)), _u13219), hAPP(hAPP(c_Product__Type_OSigma(_u13214, _u13218), _u13217), hAPP(c_COMBK(tc_fun(_u13218, tc_HOL_Obool), _u13214), _u13220)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13213, _u13218), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13213, _u13214, _u13218), _u13215), _u13219)), hAPP(hAPP(c_Product__Type_OSigma(_u13213, _u13218), _u13216), hAPP(c_COMBK(tc_fun(_u13218, tc_HOL_Obool), _u13213), _u13220)))) )).
% 29.00/29.25 cnf(matrix-6039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13221, _u13221), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13221, _u13221, _u13221), _u13222), _u13223)), _u13222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13221, _u13222)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13221, _u13223)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13221, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13221, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13221, tc_HOL_Obool), tc_fun(_u13221, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u13221, _u13222))) )).
% 29.00/29.25 cnf(matrix-6040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13224, _u13224), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13224, _u13224, _u13224), _u13225), _u13226)), _u13225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u13224, _u13225)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u13224, _u13226)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13224, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13224, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13224, tc_HOL_Obool), tc_fun(_u13224, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u13224, _u13225))) )).
% 29.00/29.25 cnf(matrix-6041, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13234, _u13236, _u13238, hAPP(hAPP(c_COMBC(_u13234, tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_fun(_u13236, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_fun(tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_fun(_u13236, tc_HOL_Obool)), _u13234), c_COMBC(_u13236, tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_prod(_u13234, _u13236)), tc_fun(_u13236, tc_fun(tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_HOL_Obool)), _u13234), hAPP(c_COMBB(tc_prod(_u13234, _u13236), tc_fun(tc_fun(tc_prod(_u13234, _u13236), tc_HOL_Obool), tc_HOL_Obool), _u13236), c_member(tc_prod(_u13234, _u13236)))), c_Product__Type_OPair(_u13234, _u13236)))), _u13240), hAPP(hAPP(c_COMBC(_u13236, tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_fun(_u13238, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13238, tc_fun(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_fun(_u13238, tc_HOL_Obool)), _u13236), c_COMBC(_u13238, tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13238, tc_prod(_u13236, _u13238)), tc_fun(_u13238, tc_fun(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_HOL_Obool)), _u13236), hAPP(c_COMBB(tc_prod(_u13236, _u13238), tc_fun(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool), tc_HOL_Obool), _u13238), c_member(tc_prod(_u13236, _u13238)))), c_Product__Type_OPair(_u13236, _u13238)))), _u13242)), _u13244), _u13246)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13234, _u13238)), hAPP(hAPP(c_Product__Type_OPair(_u13234, _u13238), _u13244), _u13246)), hAPP(hAPP(c_Relation_Orel__comp(_u13234, _u13236, _u13238), _u13240), _u13242))) )).
% 29.00/29.25 cnf(matrix-6042, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13235, _u13239)), hAPP(hAPP(c_Product__Type_OPair(_u13235, _u13239), _u13245), _u13247)), hAPP(hAPP(c_Relation_Orel__comp(_u13235, _u13237, _u13239), _u13241), _u13243))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13235, _u13237, _u13239, hAPP(hAPP(c_COMBC(_u13235, tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_fun(_u13237, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13237, tc_fun(tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_fun(_u13237, tc_HOL_Obool)), _u13235), c_COMBC(_u13237, tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13237, tc_prod(_u13235, _u13237)), tc_fun(_u13237, tc_fun(tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_HOL_Obool)), _u13235), hAPP(c_COMBB(tc_prod(_u13235, _u13237), tc_fun(tc_fun(tc_prod(_u13235, _u13237), tc_HOL_Obool), tc_HOL_Obool), _u13237), c_member(tc_prod(_u13235, _u13237)))), c_Product__Type_OPair(_u13235, _u13237)))), _u13241), hAPP(hAPP(c_COMBC(_u13237, tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_fun(_u13239, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13239, tc_fun(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_fun(_u13239, tc_HOL_Obool)), _u13237), c_COMBC(_u13239, tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13239, tc_prod(_u13237, _u13239)), tc_fun(_u13239, tc_fun(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_HOL_Obool)), _u13237), hAPP(c_COMBB(tc_prod(_u13237, _u13239), tc_fun(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool), tc_HOL_Obool), _u13239), c_member(tc_prod(_u13237, _u13239)))), c_Product__Type_OPair(_u13237, _u13239)))), _u13243)), _u13245), _u13247)) )).
% 29.00/29.25 cnf(matrix-6043, plain, ( ~c_Wellfounded_Owf(_u13248, _u13249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13248, _u13248), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13248, _u13248, _u13248), _u13249), _u13250)), _u13249)) | c_FunDef_Oreduction__pair(_u13248, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u13248, _u13248), tc_HOL_Obool), tc_fun(tc_prod(_u13248, _u13248), tc_HOL_Obool)), _u13249), _u13250)) )).
% 29.00/29.25 cnf(matrix-6044, plain, ( ( c_List_Osublist(_u13251, hAPP(hAPP(c_List_Oappend(_u13251), _u13252), _u13253), _u13254) = hAPP(hAPP(c_List_Oappend(_u13251), c_List_Osublist(_u13251, _u13252, _u13254)), c_List_Osublist(_u13251, _u13253, 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(_u13251)), _u13252)))), _u13254))))) )).
% 29.00/29.25 cnf(matrix-6045, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 29.00/29.25 cnf(matrix-6046, plain, ( ~hBOOL(hAPP(hAPP(_u13255, _u13256), _u13257)) | ~hBOOL(hAPP(hAPP(_u13258, _u13257), _u13259)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13260, _u13261, _u13262, _u13255, _u13258), _u13256), _u13259)) )).
% 29.00/29.25 cnf(matrix-6047, plain, ( c_Wellfounded_Owf(_u13263, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13263, _u13263), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6048, plain, ( ~c_Wellfounded_Owf(_u13264, _u13265) | c_Wellfounded_Owf(_u13266, hAPP(hAPP(c_Relation_Oinv__image(_u13264, _u13266), _u13265), _u13267)) )).
% 29.00/29.25 cnf(matrix-6049, plain, ( ~c_Wellfounded_Owf(_u13268, _u13269) | ~c_Wellfounded_Owf(_u13270, _u13271) | c_Wellfounded_Owf(tc_prod(_u13268, _u13270), c_Wellfounded_Olex__prod(_u13268, _u13270, _u13269, _u13271)) )).
% 29.00/29.25 cnf(matrix-6050, plain, ( c_Wellfounded_Owf(_u13272, hAPP(c_Wellfounded_Omeasure(_u13272), _u13273)) )).
% 29.00/29.25 cnf(matrix-6051, plain, ( ~c_Wellfounded_Owf(_u13276, _u13278) | c_Wellfounded_Owf(_u13276, hAPP(hAPP(c_Relation_Orel__comp(_u13276, _u13276, _u13276), _u13278), _u13278)) )).
% 29.00/29.25 cnf(matrix-6052, plain, ( ~c_Wellfounded_Owf(_u13277, hAPP(hAPP(c_Relation_Orel__comp(_u13277, _u13277, _u13277), _u13279), _u13279)) | c_Wellfounded_Owf(_u13277, _u13279) )).
% 29.00/29.25 cnf(matrix-6053, 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)))) )).
% 29.00/29.25 cnf(matrix-6054, plain, ( ~c_Wellfounded_Owf(_u13280, _u13281) | c_Wellfounded_Owf(_u13280, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13280, _u13280), tc_HOL_Obool)), _u13282), _u13281)) )).
% 29.00/29.25 cnf(matrix-6055, plain, ( ~c_Wellfounded_Owf(_u13283, _u13284) | c_Wellfounded_Owf(_u13283, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13283, _u13283), tc_HOL_Obool)), _u13284), _u13285)) )).
% 29.00/29.25 cnf(matrix-6056, plain, ( ~c_Wellfounded_Owf(_u13286, _u13287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13286, _u13286), tc_HOL_Obool)), _u13288), _u13287)) | c_Wellfounded_Owf(_u13286, _u13288) )).
% 29.00/29.25 cnf(matrix-6057, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 29.00/29.25 cnf(matrix-6058, plain, ( ~c_Wellfounded_Owf(_u13289, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u13289, _u13289), tc_HOL_Obool), _u13290), _u13291)) | c_Wellfounded_Owf(_u13289, _u13291) )).
% 29.00/29.25 cnf(matrix-6059, plain, ( ~c_Wellfounded_Owf(_u13292, _u13293) | c_Wellfounded_Owf(tc_fun(_u13292, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13292, _u13293)) )).
% 29.00/29.25 cnf(matrix-6060, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13303, _u13305, _u13307, _u13309, _u13311), _u13313), _u13315)) | hBOOL(hAPP(hAPP(_u13309, _u13313), skolem308(_u13315, _u13313, _u13311, _u13309))) )).
% 29.00/29.25 cnf(matrix-6061, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13303, _u13305, _u13307, _u13309, _u13311), _u13313), _u13315)) | hBOOL(hAPP(hAPP(_u13311, skolem308(_u13315, _u13313, _u13311, _u13309)), _u13315)) )).
% 29.00/29.25 cnf(matrix-6062, plain, ( ~hBOOL(hAPP(hAPP(_u13310, _u13314), _u13295)) | ~hBOOL(hAPP(hAPP(_u13312, _u13295), _u13316)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13304, _u13306, _u13308, _u13310, _u13312), _u13314), _u13316)) )).
% 29.00/29.25 cnf(matrix-6063, plain, ( ~c_Wellfounded_Owf(_u13317, _u13318) | c_Wellfounded_Owf(tc_fun(_u13317, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u13317, _u13318)) )).
% 29.00/29.25 cnf(matrix-6064, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13319), _u13320), _u13321) != _u13322) | ( _u13323 != hAPP(hAPP(c_List_Oappend(_u13319), _u13321), _u13324)) | ( hAPP(hAPP(c_List_Oappend(_u13319), _u13320), _u13323) = hAPP(hAPP(c_List_Oappend(_u13319), _u13322), _u13324)) )).
% 29.00/29.25 cnf(matrix-6065, plain, ( ( _u13331 = _u13335) | ( hAPP(hAPP(c_List_Oappend(_u13329), _u13331), _u13333) != hAPP(hAPP(c_List_Oappend(_u13329), _u13335), _u13333)) )).
% 29.00/29.25 cnf(matrix-6066, plain, ( ( _u13332 != _u13336) | ( hAPP(hAPP(c_List_Oappend(_u13330), _u13332), _u13334) = hAPP(hAPP(c_List_Oappend(_u13330), _u13336), _u13334)) )).
% 29.00/29.25 cnf(matrix-6067, plain, ( ( _u13345 = _u13347) | ( hAPP(hAPP(c_List_Oappend(_u13341), _u13343), _u13345) != hAPP(hAPP(c_List_Oappend(_u13341), _u13343), _u13347)) )).
% 29.00/29.25 cnf(matrix-6068, plain, ( ( _u13346 != _u13348) | ( hAPP(hAPP(c_List_Oappend(_u13342), _u13344), _u13346) = hAPP(hAPP(c_List_Oappend(_u13342), _u13344), _u13348)) )).
% 29.00/29.25 cnf(matrix-6069, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), _u13364) != hAPP(hAPP(c_List_Oappend(_u13360), _u13366), _u13368)) | ( _u13362 = hAPP(hAPP(c_List_Oappend(_u13360), _u13366), skolem309(_u13368, _u13366, _u13364, _u13362, _u13360))) | ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), skolem310(_u13368, _u13366, _u13364, _u13362, _u13360)) = _u13366) )).
% 29.00/29.25 cnf(matrix-6070, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), _u13364) != hAPP(hAPP(c_List_Oappend(_u13360), _u13366), _u13368)) | ( _u13362 = hAPP(hAPP(c_List_Oappend(_u13360), _u13366), skolem309(_u13368, _u13366, _u13364, _u13362, _u13360))) | ( _u13364 = hAPP(hAPP(c_List_Oappend(_u13360), skolem310(_u13368, _u13366, _u13364, _u13362, _u13360)), _u13368)) )).
% 29.00/29.25 cnf(matrix-6071, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), _u13364) != hAPP(hAPP(c_List_Oappend(_u13360), _u13366), _u13368)) | ( hAPP(hAPP(c_List_Oappend(_u13360), skolem309(_u13368, _u13366, _u13364, _u13362, _u13360)), _u13364) = _u13368) | ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), skolem310(_u13368, _u13366, _u13364, _u13362, _u13360)) = _u13366) )).
% 29.00/29.25 cnf(matrix-6072, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13360), _u13362), _u13364) != hAPP(hAPP(c_List_Oappend(_u13360), _u13366), _u13368)) | ( hAPP(hAPP(c_List_Oappend(_u13360), skolem309(_u13368, _u13366, _u13364, _u13362, _u13360)), _u13364) = _u13368) | ( _u13364 = hAPP(hAPP(c_List_Oappend(_u13360), skolem310(_u13368, _u13366, _u13364, _u13362, _u13360)), _u13368)) )).
% 29.00/29.25 cnf(matrix-6073, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13361), _u13363), _u13365) = hAPP(hAPP(c_List_Oappend(_u13361), _u13367), _u13369)) | ( _u13363 != hAPP(hAPP(c_List_Oappend(_u13361), _u13367), _u13358)) | ( hAPP(hAPP(c_List_Oappend(_u13361), _u13358), _u13365) != _u13369) )).
% 29.00/29.25 cnf(matrix-6074, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13361), _u13363), _u13365) = hAPP(hAPP(c_List_Oappend(_u13361), _u13367), _u13369)) | ( hAPP(hAPP(c_List_Oappend(_u13361), _u13363), _u13359) != _u13367) | ( _u13365 != hAPP(hAPP(c_List_Oappend(_u13361), _u13359), _u13369)) )).
% 29.00/29.25 cnf(matrix-6075, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13370), hAPP(hAPP(c_List_Oappend(_u13370), _u13371), _u13372)), _u13373) = hAPP(hAPP(c_List_Oappend(_u13370), _u13371), hAPP(hAPP(c_List_Oappend(_u13370), _u13372), _u13373))) )).
% 29.00/29.25 cnf(matrix-6076, plain, ( c_Wellfounded_Owf(tc_fun(_u13374, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13374)) )).
% 29.00/29.25 cnf(matrix-6077, plain, ( ~c_Wellfounded_Owf(_u13375, _u13376) | c_Wellfounded_Owf(_u13375, c_Wellfounded_Omlex__prod(_u13375, _u13377, _u13376)) )).
% 29.00/29.25 cnf(matrix-6078, plain, ( ~c_Wellfounded_Owf(_u13378, _u13379) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13378, _u13378)), hAPP(hAPP(c_Product__Type_OPair(_u13378, _u13378), _u13380), _u13380)), _u13379)) )).
% 29.00/29.25 cnf(matrix-6079, plain, ( ~c_Wellfounded_Owf(_u13381, _u13382) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13381, _u13381)), hAPP(hAPP(c_Product__Type_OPair(_u13381, _u13381), _u13383), _u13384)), _u13382)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13381, _u13381)), hAPP(hAPP(c_Product__Type_OPair(_u13381, _u13381), _u13384), _u13383)), _u13382)) )).
% 29.00/29.25 cnf(matrix-6080, plain, ( ~c_Wellfounded_Owf(_u13385, _u13386) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13385, _u13385)), hAPP(hAPP(c_Product__Type_OPair(_u13385, _u13385), _u13387), _u13388)), _u13386)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13385, _u13385)), hAPP(hAPP(c_Product__Type_OPair(_u13385, _u13385), _u13388), _u13387)), _u13386)) )).
% 29.00/29.25 cnf(matrix-6081, plain, ( ~c_Wellfounded_Owf(_u13389, _u13390) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13389, _u13389)), hAPP(hAPP(c_Product__Type_OPair(_u13389, _u13389), _u13391), _u13391)), _u13390)) )).
% 29.00/29.25 cnf(matrix-6082, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13392)), hAPP(hAPP(c_List_Oappend(_u13392), _u13393), _u13394)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13392)), _u13393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13392)), _u13394))) )).
% 29.00/29.25 cnf(matrix-6083, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13395)) )).
% 29.00/29.25 cnf(matrix-6084, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13396)) )).
% 29.00/29.25 cnf(matrix-6085, plain, ( ~c_Wellfounded_Owf(_u13401, _u13403) | hBOOL(hAPP(hAPP(c_member(_u13401), _u13397), c_Wellfounded_Oacc(_u13401, _u13403))) )).
% 29.00/29.25 cnf(matrix-6086, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13402), skolem311(_u13404, _u13402)), c_Wellfounded_Oacc(_u13402, _u13404))) | c_Wellfounded_Owf(_u13402, _u13404) )).
% 29.00/29.25 cnf(matrix-6087, plain, ( ~c_Wellfounded_Owf(_u13405, _u13406) | hBOOL(hAPP(hAPP(c_member(_u13405), _u13407), c_Wellfounded_Oacc(_u13405, _u13406))) )).
% 29.00/29.25 cnf(matrix-6088, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13408, _u13408, _u13408), _u13409), _u13409) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13408, _u13408), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13408, _u13409) )).
% 29.00/29.25 cnf(matrix-6089, plain, ( ~c_Wellfounded_Owf(_u13413, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13413, _u13413), tc_HOL_Obool)), _u13415), _u13417)) | c_Wellfounded_Owf(_u13413, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13413, _u13413), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13413, _u13413), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13413, _u13413, _u13413), _u13415), _u13415)), hAPP(hAPP(c_Relation_Orel__comp(_u13413, _u13413, _u13413), _u13417), _u13415))), _u13417)) )).
% 29.00/29.25 cnf(matrix-6090, plain, ( ~c_Wellfounded_Owf(_u13414, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13414, _u13414), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13414, _u13414), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13414, _u13414, _u13414), _u13416), _u13416)), hAPP(hAPP(c_Relation_Orel__comp(_u13414, _u13414, _u13414), _u13418), _u13416))), _u13418)) | c_Wellfounded_Owf(_u13414, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13414, _u13414), tc_HOL_Obool)), _u13416), _u13418)) )).
% 29.00/29.25 cnf(matrix-6091, plain, ( ~c_Wellfounded_Owf(_u13425, _u13427) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13425, _u13425)), hAPP(hAPP(c_Product__Type_OPair(_u13425, _u13425), hAPP(_u13420, hAPP(c_Nat_OSuc, skolem312(_u13427, _u13425, _u13420)))), hAPP(_u13420, skolem312(_u13427, _u13425, _u13420)))), _u13427)) )).
% 29.00/29.25 cnf(matrix-6092, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13426, _u13426)), hAPP(hAPP(c_Product__Type_OPair(_u13426, _u13426), hAPP(skolem313(_u13428, _u13426), hAPP(c_Nat_OSuc, _u13421))), hAPP(skolem313(_u13428, _u13426), _u13421))), _u13428)) | c_Wellfounded_Owf(_u13426, _u13428) )).
% 29.00/29.25 cnf(matrix-6093, plain, ( ~c_Wellfounded_Owf(_u13429, _u13430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13429, tc_HOL_Obool)), _u13431), hAPP(c_Relation_OImage(_u13429, _u13429, _u13430), _u13431))) | ( _u13431 = c_Orderings_Obot__class_Obot(tc_fun(_u13429, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6094, plain, ( ~c_Wellfounded_Owf(_u13432, _u13433) | ~c_Wellfounded_Owf(_u13432, _u13434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13432, _u13432), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13432, _u13432, _u13432), _u13433), _u13434)), _u13433)) | c_Wellfounded_Owf(_u13432, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13432, _u13432), tc_HOL_Obool)), _u13433), _u13434)) )).
% 29.00/29.25 cnf(matrix-6095, plain, ( ~class_Orderings_Owellorder(_u13435) | c_Wellfounded_Owf(_u13435, hAPP(c_Set_OCollect(tc_prod(_u13435, _u13435)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13435, _u13435, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13435)))) )).
% 29.00/29.25 cnf(matrix-6096, plain, ( ~c_FunDef_Oreduction__pair(_u13438, _u13440) | c_Wellfounded_Owf(_u13438, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool), tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), _u13440)) )).
% 29.00/29.25 cnf(matrix-6097, plain, ( ~c_FunDef_Oreduction__pair(_u13438, _u13440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13438, _u13438, _u13438), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool), tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), _u13440)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool), tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), _u13440))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool), tc_fun(tc_prod(_u13438, _u13438), tc_HOL_Obool)), _u13440))) )).
% 29.00/29.25 cnf(matrix-6098, plain, ( ~c_Wellfounded_Owf(_u13439, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool), tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13439, _u13439, _u13439), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool), tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13441)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool), tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13441))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool), tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13441))) | c_FunDef_Oreduction__pair(_u13439, _u13441) )).
% 29.00/29.25 cnf(matrix-6099, plain, ( ~c_FunDef_Oreduction__pair(_u13442, _u13443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13444), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool), tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13445), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool), tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13443))) | ~c_Wellfounded_Owf(_u13442, _u13445) | c_Wellfounded_Owf(_u13442, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13442, _u13442), tc_HOL_Obool)), _u13444), _u13445)) )).
% 29.00/29.25 cnf(matrix-6100, plain, ( ~c_Wellfounded_Owf(_u13446, _u13447) | ~c_Fun_Oinj__on(_u13446, _u13448, _u13449, c_Orderings_Otop__class_Otop(tc_fun(_u13446, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13448, hAPP(c_Set_Oimage(tc_prod(_u13446, _u13446), tc_prod(_u13448, _u13448), c_Product__Type_Omap__pair(_u13446, _u13448, _u13446, _u13448, _u13449, _u13449)), _u13447)) )).
% 29.00/29.25 cnf(matrix-6101, plain, ( ~c_Wellfounded_Owf(_u13450, _u13451) | c_Wellfounded_Owf(tc_List_Olist(_u13450), c_List_Olenlex(_u13450, _u13451)) )).
% 29.00/29.25 cnf(matrix-6102, plain, ( c_Wellfounded_Owf(_u13456, hAPP(c_Set_OCollect(tc_prod(_u13456, _u13456)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13456, _u13456, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(_u13456, tc_HOL_Obool), _u13456), hAPP(c_COMBS(_u13456, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13456), c_fconj), _u13453))), hAPP(hAPP(c_COMBC(_u13456, tc_fun(_u13456, _u13456), tc_fun(_u13456, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(tc_fun(_u13456, _u13456), tc_fun(_u13456, tc_HOL_Obool)), _u13456), c_COMBB(_u13456, tc_HOL_Obool, _u13456)), c_fequal)), _u13455))))) | hBOOL(hAPP(_u13453, skolem314(_u13456, _u13455, _u13454, _u13453))) )).
% 29.00/29.25 cnf(matrix-6103, plain, ( c_Wellfounded_Owf(_u13456, hAPP(c_Set_OCollect(tc_prod(_u13456, _u13456)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13456, _u13456, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(_u13456, tc_HOL_Obool), _u13456), hAPP(c_COMBS(_u13456, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13456), c_fconj), _u13453))), hAPP(hAPP(c_COMBC(_u13456, tc_fun(_u13456, _u13456), tc_fun(_u13456, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(tc_fun(_u13456, _u13456), tc_fun(_u13456, tc_HOL_Obool)), _u13456), c_COMBB(_u13456, tc_HOL_Obool, _u13456)), c_fequal)), _u13455))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13454, hAPP(_u13455, skolem314(_u13456, _u13455, _u13454, _u13453)))), hAPP(_u13454, skolem314(_u13456, _u13455, _u13454, _u13453)))) )).
% 29.00/29.25 cnf(matrix-6104, plain, ( ( hAPP(c_Relation_ORange(_u13457, _u13458), hAPP(c_Set_OCollect(tc_prod(_u13457, _u13458)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13457, _u13458, tc_HOL_Obool), _u13459))) = hAPP(c_Set_OCollect(_u13458), hAPP(hAPP(c_COMBB(tc_fun(_u13457, tc_HOL_Obool), tc_HOL_Obool, _u13458), c_HOL_OEx(_u13457)), hAPP(c_COMBC(_u13457, _u13458, tc_HOL_Obool), _u13459)))) )).
% 29.00/29.25 cnf(matrix-6105, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13460, _u13461)), hAPP(hAPP(c_Product__Type_OPair(_u13460, _u13461), _u13462), _u13463)), _u13464)) | hBOOL(hAPP(hAPP(c_member(_u13461), _u13463), hAPP(c_Relation_ORange(_u13460, _u13461), _u13464))) )).
% 29.00/29.25 cnf(matrix-6106, plain, ( ( hAPP(c_Relation_ORange(_u13465, _u13465), c_Relation_OId__on(_u13465, _u13466)) = _u13466) )).
% 29.00/29.25 cnf(matrix-6107, plain, ( ( hAPP(c_Relation_ORange(_u13470, _u13472), _u13474) != c_Orderings_Obot__class_Obot(tc_fun(_u13472, tc_HOL_Obool))) | ( _u13474 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13470, _u13472), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6108, plain, ( ( _u13475 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13471, _u13473), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u13471, _u13473), _u13475) = c_Orderings_Obot__class_Obot(tc_fun(_u13473, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6109, plain, ( ( hAPP(c_Relation_ORange(_u13476, _u13477), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13476, _u13477), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13477, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6110, plain, ( ( hAPP(c_Relation_ORange(_u13478, _u13479), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13478, _u13479), tc_HOL_Obool)), _u13480), _u13481)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13479, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13478, _u13479), _u13480)), hAPP(c_Relation_ORange(_u13478, _u13479), _u13481))) )).
% 29.00/29.25 cnf(matrix-6111, plain, ( ( hAPP(c_Relation_ORange(_u13482, _u13482), c_Relation_OId(_u13482)) = c_Orderings_Otop__class_Otop(tc_fun(_u13482, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6112, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13483, _u13484)), _u13485)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13484), hAPP(c_Relation_ORange(_u13483, _u13484), _u13485))) )).
% 29.00/29.25 cnf(matrix-6113, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13486, _u13487), _u13487, c_Product__Type_Osnd(_u13486, _u13487)), _u13488) = hAPP(c_Relation_ORange(_u13486, _u13487), _u13488)) )).
% 29.00/29.25 cnf(matrix-6114, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13495), _u13497), hAPP(c_Relation_ORange(_u13499, _u13495), _u13501))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13499, _u13495)), hAPP(hAPP(c_Product__Type_OPair(_u13499, _u13495), skolem315(_u13501, _u13499, _u13497, _u13495)), _u13497)), _u13501)) )).
% 29.00/29.25 cnf(matrix-6115, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13500, _u13496)), hAPP(hAPP(c_Product__Type_OPair(_u13500, _u13496), _u13490), _u13498)), _u13502)) | hBOOL(hAPP(hAPP(c_member(_u13496), _u13498), hAPP(c_Relation_ORange(_u13500, _u13496), _u13502))) )).
% 29.00/29.25 cnf(matrix-6116, plain, ( ( hAPP(c_Relation_ORange(_u13503, _u13504), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13503, _u13504)), hAPP(hAPP(c_Product__Type_OPair(_u13503, _u13504), _u13505), _u13506)), _u13507)) = hAPP(hAPP(c_Set_Oinsert(_u13504), _u13506), hAPP(c_Relation_ORange(_u13503, _u13504), _u13507))) )).
% 29.00/29.25 cnf(matrix-6117, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13508, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13509, _u13508), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13509, _u13508), tc_HOL_Obool)), _u13510), _u13511))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13508, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13509, _u13508), _u13510)), hAPP(c_Relation_ORange(_u13509, _u13508), _u13511)))) )).
% 29.00/29.25 cnf(matrix-6118, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13512, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13512, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13513, _u13512), _u13514)), hAPP(c_Relation_ORange(_u13513, _u13512), _u13515))), hAPP(c_Relation_ORange(_u13513, _u13512), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13513, _u13512), tc_HOL_Obool)), _u13514), _u13515)))) )).
% 29.00/29.25 cnf(matrix-6119, 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)))) )).
% 29.00/29.25 cnf(matrix-6120, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u13520, _u13522, hAPP(hAPP(c_COMBC(_u13520, tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_fun(_u13522, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13522, tc_fun(tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_fun(_u13522, tc_HOL_Obool)), _u13520), c_COMBC(_u13522, tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13522, tc_prod(_u13520, _u13522)), tc_fun(_u13522, tc_fun(tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_HOL_Obool)), _u13520), hAPP(c_COMBB(tc_prod(_u13520, _u13522), tc_fun(tc_fun(tc_prod(_u13520, _u13522), tc_HOL_Obool), tc_HOL_Obool), _u13522), c_member(tc_prod(_u13520, _u13522)))), c_Product__Type_OPair(_u13520, _u13522)))), _u13524)), _u13526)) | hBOOL(hAPP(hAPP(c_member(_u13522), _u13526), hAPP(c_Relation_ORange(_u13520, _u13522), _u13524))) )).
% 29.00/29.25 cnf(matrix-6121, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13523), _u13527), hAPP(c_Relation_ORange(_u13521, _u13523), _u13525))) | hBOOL(hAPP(c_Predicate_ORangeP(_u13521, _u13523, hAPP(hAPP(c_COMBC(_u13521, tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_fun(_u13523, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13523, tc_fun(tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_fun(_u13523, tc_HOL_Obool)), _u13521), c_COMBC(_u13523, tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13523, tc_prod(_u13521, _u13523)), tc_fun(_u13523, tc_fun(tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_HOL_Obool)), _u13521), hAPP(c_COMBB(tc_prod(_u13521, _u13523), tc_fun(tc_fun(tc_prod(_u13521, _u13523), tc_HOL_Obool), tc_HOL_Obool), _u13523), c_member(tc_prod(_u13521, _u13523)))), c_Product__Type_OPair(_u13521, _u13523)))), _u13525)), _u13527)) )).
% 29.00/29.25 cnf(matrix-6122, plain, ( ( c_List_Olenlex(_u13528, _u13529) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u13528)), tc_List_Olist(_u13528)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u13528), c_Wellfounded_Oless__than, c_List_Olex(_u13528, _u13529))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u13528), tc_List_Olist(_u13528), tc_prod(tc_Nat_Onat, tc_List_Olist(_u13528))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u13528), tc_prod(tc_Nat_Onat, tc_List_Olist(_u13528))), tc_List_Olist(_u13528)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u13528))), c_Nat_Osize__class_Osize(tc_List_Olist(_u13528)))), c_COMBI(tc_List_Olist(_u13528))))) )).
% 29.00/29.25 cnf(matrix-6123, plain, ( ~hBOOL(hAPP(hAPP(_u13530, _u13531), _u13532)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13533, _u13534, _u13530), _u13532)) )).
% 29.00/29.25 cnf(matrix-6124, plain, ( ~c_Wellfounded_Owf(_u13535, _u13536) | c_Wellfounded_Owf(tc_List_Olist(_u13535), c_List_Olex(_u13535, _u13536)) )).
% 29.00/29.25 cnf(matrix-6125, plain, ( hBOOL(hAPP(hAPP(_u13547, skolem316(_u13549, _u13547)), _u13549)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u13543, _u13545, _u13547), _u13549)) )).
% 29.00/29.25 cnf(matrix-6126, plain, ( ~hBOOL(hAPP(hAPP(_u13548, _u13538), _u13550)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13544, _u13546, _u13548), _u13550)) )).
% 29.00/29.25 cnf(matrix-6127, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 29.00/29.25 cnf(matrix-6128, plain, ( ( c_List_Olenlex(_u13551, _u13552) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u13551), tc_List_Olist(_u13551), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u13551), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBS(tc_List_Olist(_u13551), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u13551)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u13551)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13551), tc_fun(tc_List_Olist(_u13551), tc_Nat_Onat), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13551), tc_Nat_Onat), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u13551))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u13551)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u13551))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u13551)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u13551), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBS(tc_List_Olist(_u13551), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u13551)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u13551)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13551), tc_fun(tc_List_Olist(_u13551), tc_Nat_Onat), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13551), tc_Nat_Onat), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u13551))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u13551)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u13551))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u13551)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13551), tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13551), tc_HOL_Obool)), tc_List_Olist(_u13551)), c_COMBC(tc_List_Olist(_u13551), tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13551), tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551))), tc_fun(tc_List_Olist(_u13551), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u13551)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u13551)), c_member(tc_prod(tc_List_Olist(_u13551), tc_List_Olist(_u13551))))), c_Product__Type_OPair(tc_List_Olist(_u13551), tc_List_Olist(_u13551))))), c_List_Olex(_u13551, _u13552))))))) )).
% 29.00/29.25 cnf(matrix-6129, plain, ( ( c_List_Olex(_u13553, _u13554) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13553), tc_List_Olist(_u13553)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13553, _u13554))) )).
% 29.00/29.25 cnf(matrix-6130, plain, ( ~c_Wellfounded_Owf(_u13555, _u13556) | c_Wellfounded_Owf(tc_List_Olist(_u13555), hAPP(c_List_Olexn(_u13555, _u13556), _u13557)) )).
% 29.00/29.25 cnf(matrix-6131, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13559), _u13560), hAPP(c_Relation_ORange(_u13561, _u13559), _u13562))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13561, _u13559)), hAPP(hAPP(c_Product__Type_OPair(_u13561, _u13559), skolem317(_u13562, _u13561, _u13560, _u13559)), _u13560)), _u13562)) )).
% 29.00/29.25 cnf(matrix-6132, plain, ( ( hAPP(c_List_Olexn(_u13563, _u13564), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13563), tc_List_Olist(_u13563)), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6133, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13565), tc_List_Olist(_u13565))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13565), tc_List_Olist(_u13565)), _u13566), _u13567)), hAPP(c_List_Olexn(_u13565, _u13568), _u13569))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13565)), _u13566) = _u13569) )).
% 29.00/29.25 cnf(matrix-6134, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13565), tc_List_Olist(_u13565))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13565), tc_List_Olist(_u13565)), _u13566), _u13567)), hAPP(c_List_Olexn(_u13565, _u13568), _u13569))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13565)), _u13567) = _u13569) )).
% 29.00/29.25 cnf(matrix-6135, plain, ( ( hAPP(c_List_Olexn(_u13570, _u13571), hAPP(c_Nat_OSuc, _u13572)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u13570), tc_List_Olist(_u13570)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u13570, tc_List_Olist(_u13570)), tc_prod(_u13570, tc_List_Olist(_u13570))), tc_prod(tc_List_Olist(_u13570), tc_List_Olist(_u13570)), c_Product__Type_Omap__pair(tc_prod(_u13570, tc_List_Olist(_u13570)), tc_List_Olist(_u13570), tc_prod(_u13570, tc_List_Olist(_u13570)), tc_List_Olist(_u13570), hAPP(c_Product__Type_Oprod_Oprod__case(_u13570, tc_List_Olist(_u13570), tc_List_Olist(_u13570)), c_List_Olist_OCons(_u13570)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13570, tc_List_Olist(_u13570), tc_List_Olist(_u13570)), c_List_Olist_OCons(_u13570)))), c_Wellfounded_Olex__prod(_u13570, tc_List_Olist(_u13570), _u13571, hAPP(c_List_Olexn(_u13570, _u13571), _u13572)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u13570), tc_List_Olist(_u13570))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u13570), tc_List_Olist(_u13570), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13570), tc_fun(tc_List_Olist(_u13570), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13570), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13570), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13570), tc_HOL_Obool)), tc_List_Olist(_u13570)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u13570))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u13570)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13570), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u13570)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u13570)))), hAPP(c_Nat_OSuc, _u13572))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13570), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u13570)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u13570)))), hAPP(c_Nat_OSuc, _u13572))))))) )).
% 29.00/29.25 cnf(matrix-6136, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13577), tc_List_Olist(_u13577))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13577), tc_List_Olist(_u13577)), _u13579), _u13581)), c_List_Olex(_u13577, _u13583))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13577), tc_List_Olist(_u13577))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13577), tc_List_Olist(_u13577)), _u13579), _u13581)), c_List_Olexord(_u13577, _u13583))) )).
% 29.00/29.25 cnf(matrix-6137, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13577), tc_List_Olist(_u13577))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13577), tc_List_Olist(_u13577)), _u13579), _u13581)), c_List_Olex(_u13577, _u13583))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13577)), _u13579) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13577)), _u13581)) )).
% 29.00/29.25 cnf(matrix-6138, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13578), tc_List_Olist(_u13578))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13578), tc_List_Olist(_u13578)), _u13580), _u13582)), c_List_Olexord(_u13578, _u13584))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13578)), _u13580) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13578)), _u13582)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13578), tc_List_Olist(_u13578))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13578), tc_List_Olist(_u13578)), _u13580), _u13582)), c_List_Olex(_u13578, _u13584))) )).
% 29.00/29.25 cnf(matrix-6139, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13593), _u13595)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13597), _u13599))), c_List_Olex(_u13591, _u13601))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13591, _u13591)), hAPP(hAPP(c_Product__Type_OPair(_u13591, _u13591), _u13593), _u13597)), _u13601)) | ( _u13593 = _u13597) )).
% 29.00/29.25 cnf(matrix-6140, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13593), _u13595)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13597), _u13599))), c_List_Olex(_u13591, _u13601))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13591, _u13591)), hAPP(hAPP(c_Product__Type_OPair(_u13591, _u13591), _u13593), _u13597)), _u13601)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), _u13595), _u13599)), c_List_Olex(_u13591, _u13601))) )).
% 29.00/29.25 cnf(matrix-6141, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13593), _u13595)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13597), _u13599))), c_List_Olex(_u13591, _u13601))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13591)), _u13595) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13591)), _u13599)) | ( _u13593 = _u13597) )).
% 29.00/29.25 cnf(matrix-6142, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13593), _u13595)), hAPP(hAPP(c_List_Olist_OCons(_u13591), _u13597), _u13599))), c_List_Olex(_u13591, _u13601))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13591)), _u13595) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13591)), _u13599)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13591), tc_List_Olist(_u13591))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13591), tc_List_Olist(_u13591)), _u13595), _u13599)), c_List_Olex(_u13591, _u13601))) )).
% 29.00/29.25 cnf(matrix-6143, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13592), tc_List_Olist(_u13592))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13592), tc_List_Olist(_u13592)), hAPP(hAPP(c_List_Olist_OCons(_u13592), _u13594), _u13596)), hAPP(hAPP(c_List_Olist_OCons(_u13592), _u13598), _u13600))), c_List_Olex(_u13592, _u13602))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13592, _u13592)), hAPP(hAPP(c_Product__Type_OPair(_u13592, _u13592), _u13594), _u13598)), _u13602)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13592)), _u13596) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13592)), _u13600)) )).
% 29.00/29.25 cnf(matrix-6144, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13592), tc_List_Olist(_u13592))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13592), tc_List_Olist(_u13592)), hAPP(hAPP(c_List_Olist_OCons(_u13592), _u13594), _u13596)), hAPP(hAPP(c_List_Olist_OCons(_u13592), _u13598), _u13600))), c_List_Olex(_u13592, _u13602))) | ( _u13594 != _u13598) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13592), tc_List_Olist(_u13592))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13592), tc_List_Olist(_u13592)), _u13596), _u13600)), c_List_Olex(_u13592, _u13602))) )).
% 29.00/29.25 cnf(matrix-6145, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13608), _u13610), _u13612) != hAPP(hAPP(c_List_Olist_OCons(_u13608), _u13614), _u13616)) | ( _u13610 = _u13614) )).
% 29.00/29.25 cnf(matrix-6146, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13608), _u13610), _u13612) != hAPP(hAPP(c_List_Olist_OCons(_u13608), _u13614), _u13616)) | ( _u13612 = _u13616) )).
% 29.00/29.25 cnf(matrix-6147, plain, ( ( _u13611 != _u13615) | ( _u13613 != _u13617) | ( hAPP(hAPP(c_List_Olist_OCons(_u13609), _u13611), _u13613) = hAPP(hAPP(c_List_Olist_OCons(_u13609), _u13615), _u13617)) )).
% 29.00/29.25 cnf(matrix-6148, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13618), _u13619), _u13620) != _u13620) )).
% 29.00/29.25 cnf(matrix-6149, plain, ( ( _u13621 != hAPP(hAPP(c_List_Olist_OCons(_u13622), _u13623), _u13621)) )).
% 29.00/29.25 cnf(matrix-6150, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13624), hAPP(hAPP(c_List_Olist_OCons(_u13624), _u13625), _u13626)), _u13627) = hAPP(hAPP(c_List_Olist_OCons(_u13624), _u13625), hAPP(hAPP(c_List_Oappend(_u13624), _u13626), _u13627))) )).
% 29.00/29.25 cnf(matrix-6151, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13628), _u13629), _u13630) != _u13631) | ( _u13632 != hAPP(hAPP(c_List_Oappend(_u13628), _u13630), _u13633)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13628), _u13629), _u13632) = hAPP(hAPP(c_List_Oappend(_u13628), _u13631), _u13633)) )).
% 29.00/29.25 cnf(matrix-6152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13634)), _u13635)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13634)), _u13636))) | ( _u13635 != hAPP(hAPP(c_List_Olist_OCons(_u13634), _u13637), _u13636)) )).
% 29.00/29.25 cnf(matrix-6153, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13644), tc_List_Olist(_u13644))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13644), tc_List_Olist(_u13644)), hAPP(hAPP(c_List_Olist_OCons(_u13644), _u13646), _u13648)), hAPP(hAPP(c_List_Olist_OCons(_u13644), _u13650), _u13652))), c_List_Olexord(_u13644, _u13654))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13644, _u13644)), hAPP(hAPP(c_Product__Type_OPair(_u13644, _u13644), _u13646), _u13650)), _u13654)) | ( _u13646 = _u13650) )).
% 29.00/29.25 cnf(matrix-6154, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13644), tc_List_Olist(_u13644))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13644), tc_List_Olist(_u13644)), hAPP(hAPP(c_List_Olist_OCons(_u13644), _u13646), _u13648)), hAPP(hAPP(c_List_Olist_OCons(_u13644), _u13650), _u13652))), c_List_Olexord(_u13644, _u13654))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13644, _u13644)), hAPP(hAPP(c_Product__Type_OPair(_u13644, _u13644), _u13646), _u13650)), _u13654)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13644), tc_List_Olist(_u13644))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13644), tc_List_Olist(_u13644)), _u13648), _u13652)), c_List_Olexord(_u13644, _u13654))) )).
% 29.00/29.25 cnf(matrix-6155, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13645), tc_List_Olist(_u13645))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13645), tc_List_Olist(_u13645)), hAPP(hAPP(c_List_Olist_OCons(_u13645), _u13647), _u13649)), hAPP(hAPP(c_List_Olist_OCons(_u13645), _u13651), _u13653))), c_List_Olexord(_u13645, _u13655))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13645, _u13645)), hAPP(hAPP(c_Product__Type_OPair(_u13645, _u13645), _u13647), _u13651)), _u13655)) )).
% 29.00/29.25 cnf(matrix-6156, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13645), tc_List_Olist(_u13645))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13645), tc_List_Olist(_u13645)), hAPP(hAPP(c_List_Olist_OCons(_u13645), _u13647), _u13649)), hAPP(hAPP(c_List_Olist_OCons(_u13645), _u13651), _u13653))), c_List_Olexord(_u13645, _u13655))) | ( _u13647 != _u13651) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13645), tc_List_Olist(_u13645))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13645), tc_List_Olist(_u13645)), _u13649), _u13653)), c_List_Olexord(_u13645, _u13655))) )).
% 29.00/29.25 cnf(matrix-6157, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13656, _u13656)), hAPP(hAPP(c_Product__Type_OPair(_u13656, _u13656), _u13657), _u13658)), _u13659)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13656), tc_List_Olist(_u13656))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13656), tc_List_Olist(_u13656)), hAPP(hAPP(c_List_Oappend(_u13656), _u13660), hAPP(hAPP(c_List_Olist_OCons(_u13656), _u13657), _u13661))), hAPP(hAPP(c_List_Oappend(_u13656), _u13660), hAPP(hAPP(c_List_Olist_OCons(_u13656), _u13658), _u13662)))), c_List_Olexord(_u13656, _u13659))) )).
% 29.00/29.25 cnf(matrix-6158, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13663)), hAPP(hAPP(c_List_Olist_OCons(_u13663), _u13664), _u13665)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13663)), _u13665)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.25 cnf(matrix-6159, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13666), tc_List_Olist(_u13666))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13666), tc_List_Olist(_u13666)), _u13667), _u13668)), c_List_Olexord(_u13666, _u13669))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13666), tc_List_Olist(_u13666))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13666), tc_List_Olist(_u13666)), hAPP(hAPP(c_List_Oappend(_u13666), _u13670), _u13667)), hAPP(hAPP(c_List_Oappend(_u13666), _u13670), _u13668))), c_List_Olexord(_u13666, _u13669))) )).
% 29.00/29.25 cnf(matrix-6160, plain, ( ( c_List_Oset__Cons(_u13671, _u13672, _u13673) = hAPP(c_Set_OCollect(tc_List_Olist(_u13671)), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u13671)), c_HOL_OEx(_u13671)), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(_u13671, tc_HOL_Obool), tc_List_Olist(_u13671)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_HOL_Obool, _u13671), c_HOL_OEx(tc_List_Olist(_u13671)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13671), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_fun(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), tc_fun(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), tc_List_Olist(_u13671)), c_COMBS(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13671, tc_fun(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), tc_List_Olist(_u13671)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), _u13671), c_COMBS(tc_List_Olist(_u13671), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u13671)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13671), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u13671)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13671), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671))), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671)), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_fun(tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671))), tc_fun(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool))), tc_List_Olist(_u13671)), c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671)), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), _u13671)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13671), tc_List_Olist(_u13671)), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), tc_List_Olist(_u13671)), c_COMBB(tc_List_Olist(_u13671), tc_HOL_Obool, tc_List_Olist(_u13671))), c_fequal))), c_List_Olist_OCons(_u13671)))))), hAPP(hAPP(c_COMBC(_u13671, tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool)), _u13671), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u13671))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13671), c_fconj), hAPP(hAPP(c_COMBC(_u13671, tc_fun(_u13671, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13671)), _u13672)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u13671), tc_fun(tc_List_Olist(_u13671), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u13671))), _u13673))))))) )).
% 29.00/29.25 cnf(matrix-6161, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13678), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u13680), _u13682))) | ( hAPP(c_Random_Opick(_u13680, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u13680)), _u13682), _u13684)), _u13678) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u13680), _u13682)) )).
% 29.00/29.25 cnf(matrix-6162, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u13679), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u13681), _u13683))) | ( hAPP(c_Random_Opick(_u13681, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u13681)), _u13683), _u13685)), _u13679) = hAPP(c_Random_Opick(_u13681, _u13685), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13679), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u13681), _u13683)))) )).
% 29.00/29.25 cnf(matrix-6163, plain, ( ( c_List_Osublist(_u13686, hAPP(hAPP(c_List_Olist_OCons(_u13686), _u13687), _u13688), _u13689) = hAPP(hAPP(c_List_Oappend(_u13686), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u13686)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13689)), hAPP(hAPP(c_List_Olist_OCons(_u13686), _u13687), c_List_Olist_ONil(_u13686))), c_List_Olist_ONil(_u13686))), c_List_Osublist(_u13686, _u13688, 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)), _u13689))))) )).
% 29.00/29.25 cnf(matrix-6164, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13690), _u13691), _u13692) != c_List_Olist_ONil(_u13690)) )).
% 29.00/29.25 cnf(matrix-6165, plain, ( ( c_List_Olist_ONil(_u13693) != hAPP(hAPP(c_List_Olist_OCons(_u13693), _u13694), _u13695)) )).
% 29.00/29.25 cnf(matrix-6166, plain, ( ( c_List_Oset__Cons(_u13696, _u13697, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13696)), c_List_Olist_ONil(_u13696)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13696), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u13696, tc_List_Olist(_u13696), hAPP(hAPP(c_COMBC(_u13696, tc_List_Olist(_u13696), tc_List_Olist(_u13696)), c_List_Olist_OCons(_u13696)), c_List_Olist_ONil(_u13696))), _u13697)) )).
% 29.00/29.25 cnf(matrix-6167, plain, ( ( _u13698 != _u13699) | ( _u13698 = hAPP(hAPP(c_List_Oappend(_u13700), c_List_Olist_ONil(_u13700)), _u13699)) )).
% 29.00/29.25 cnf(matrix-6168, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13704), _u13706), _u13708) != _u13708) | ( _u13706 = c_List_Olist_ONil(_u13704)) )).
% 29.00/29.25 cnf(matrix-6169, plain, ( ( _u13707 != c_List_Olist_ONil(_u13705)) | ( hAPP(hAPP(c_List_Oappend(_u13705), _u13707), _u13709) = _u13709) )).
% 29.00/29.25 cnf(matrix-6170, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13713), _u13715), _u13717) != _u13715) | ( _u13717 = c_List_Olist_ONil(_u13713)) )).
% 29.00/29.25 cnf(matrix-6171, plain, ( ( _u13718 != c_List_Olist_ONil(_u13714)) | ( hAPP(hAPP(c_List_Oappend(_u13714), _u13716), _u13718) = _u13716) )).
% 29.00/29.25 cnf(matrix-6172, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13722), _u13724), _u13726) != c_List_Olist_ONil(_u13722)) | ( _u13724 = c_List_Olist_ONil(_u13722)) )).
% 29.00/29.25 cnf(matrix-6173, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13722), _u13724), _u13726) != c_List_Olist_ONil(_u13722)) | ( _u13726 = c_List_Olist_ONil(_u13722)) )).
% 29.00/29.25 cnf(matrix-6174, plain, ( ( _u13725 != c_List_Olist_ONil(_u13723)) | ( _u13727 != c_List_Olist_ONil(_u13723)) | ( hAPP(hAPP(c_List_Oappend(_u13723), _u13725), _u13727) = c_List_Olist_ONil(_u13723)) )).
% 29.00/29.25 cnf(matrix-6175, plain, ( ( _u13735 = c_List_Olist_ONil(_u13733)) | ( _u13731 != hAPP(hAPP(c_List_Oappend(_u13733), _u13735), _u13731)) )).
% 29.00/29.25 cnf(matrix-6176, plain, ( ( _u13736 != c_List_Olist_ONil(_u13734)) | ( _u13732 = hAPP(hAPP(c_List_Oappend(_u13734), _u13736), _u13732)) )).
% 29.00/29.25 cnf(matrix-6177, plain, ( ( _u13744 = c_List_Olist_ONil(_u13742)) | ( _u13740 != hAPP(hAPP(c_List_Oappend(_u13742), _u13740), _u13744)) )).
% 29.00/29.25 cnf(matrix-6178, plain, ( ( _u13745 != c_List_Olist_ONil(_u13743)) | ( _u13741 = hAPP(hAPP(c_List_Oappend(_u13743), _u13741), _u13745)) )).
% 29.00/29.25 cnf(matrix-6179, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13746), _u13747), c_List_Olist_ONil(_u13746)) = _u13747) )).
% 29.00/29.25 cnf(matrix-6180, plain, ( ( c_List_Olist_ONil(_u13751) != hAPP(hAPP(c_List_Oappend(_u13751), _u13753), _u13755)) | ( _u13753 = c_List_Olist_ONil(_u13751)) )).
% 29.00/29.25 cnf(matrix-6181, plain, ( ( c_List_Olist_ONil(_u13751) != hAPP(hAPP(c_List_Oappend(_u13751), _u13753), _u13755)) | ( _u13755 = c_List_Olist_ONil(_u13751)) )).
% 29.00/29.25 cnf(matrix-6182, plain, ( ( _u13754 != c_List_Olist_ONil(_u13752)) | ( _u13756 != c_List_Olist_ONil(_u13752)) | ( c_List_Olist_ONil(_u13752) = hAPP(hAPP(c_List_Oappend(_u13752), _u13754), _u13756)) )).
% 29.00/29.25 cnf(matrix-6183, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13757), c_List_Olist_ONil(_u13757)), _u13758) = _u13758) )).
% 29.00/29.25 cnf(matrix-6184, plain, ( ( c_List_Osublist(_u13759, c_List_Olist_ONil(_u13759), _u13760) = c_List_Olist_ONil(_u13759)) )).
% 29.00/29.25 cnf(matrix-6185, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13761)), c_List_Olist_ONil(_u13761)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-6186, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13764)), _u13766) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u13766 = c_List_Olist_ONil(_u13764)) )).
% 29.00/29.25 cnf(matrix-6187, plain, ( ( _u13767 != c_List_Olist_ONil(_u13765)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13765)), _u13767) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-6188, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13773), _u13775), hAPP(hAPP(c_List_Olist_OCons(_u13773), _u13777), c_List_Olist_ONil(_u13773))) != hAPP(hAPP(c_List_Oappend(_u13773), _u13779), hAPP(hAPP(c_List_Olist_OCons(_u13773), _u13781), c_List_Olist_ONil(_u13773)))) | ( _u13775 = _u13779) )).
% 29.00/29.25 cnf(matrix-6189, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13773), _u13775), hAPP(hAPP(c_List_Olist_OCons(_u13773), _u13777), c_List_Olist_ONil(_u13773))) != hAPP(hAPP(c_List_Oappend(_u13773), _u13779), hAPP(hAPP(c_List_Olist_OCons(_u13773), _u13781), c_List_Olist_ONil(_u13773)))) | ( _u13777 = _u13781) )).
% 29.00/29.25 cnf(matrix-6190, plain, ( ( _u13776 != _u13780) | ( _u13778 != _u13782) | ( hAPP(hAPP(c_List_Oappend(_u13774), _u13776), hAPP(hAPP(c_List_Olist_OCons(_u13774), _u13778), c_List_Olist_ONil(_u13774))) = hAPP(hAPP(c_List_Oappend(_u13774), _u13780), hAPP(hAPP(c_List_Olist_OCons(_u13774), _u13782), c_List_Olist_ONil(_u13774)))) )).
% 29.00/29.25 cnf(matrix-6191, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) != hAPP(hAPP(c_List_Oappend(_u13790), _u13796), _u13798)) | ( _u13796 = c_List_Olist_ONil(_u13790)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), skolem318(_u13798, _u13796, _u13794, _u13792, _u13790)) = _u13796) )).
% 29.00/29.25 cnf(matrix-6192, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) != hAPP(hAPP(c_List_Oappend(_u13790), _u13796), _u13798)) | ( _u13796 = c_List_Olist_ONil(_u13790)) | ( _u13794 = hAPP(hAPP(c_List_Oappend(_u13790), skolem318(_u13798, _u13796, _u13794, _u13792, _u13790)), _u13798)) )).
% 29.00/29.25 cnf(matrix-6193, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) != hAPP(hAPP(c_List_Oappend(_u13790), _u13796), _u13798)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) = _u13798) | ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), skolem318(_u13798, _u13796, _u13794, _u13792, _u13790)) = _u13796) )).
% 29.00/29.25 cnf(matrix-6194, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) != hAPP(hAPP(c_List_Oappend(_u13790), _u13796), _u13798)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13790), _u13792), _u13794) = _u13798) | ( _u13794 = hAPP(hAPP(c_List_Oappend(_u13790), skolem318(_u13798, _u13796, _u13794, _u13792, _u13790)), _u13798)) )).
% 29.00/29.25 cnf(matrix-6195, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13791), _u13793), _u13795) = hAPP(hAPP(c_List_Oappend(_u13791), _u13797), _u13799)) | ( _u13797 != c_List_Olist_ONil(_u13791)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13791), _u13793), _u13795) != _u13799) )).
% 29.00/29.25 cnf(matrix-6196, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u13791), _u13793), _u13795) = hAPP(hAPP(c_List_Oappend(_u13791), _u13797), _u13799)) | ( hAPP(hAPP(c_List_Olist_OCons(_u13791), _u13793), _u13784) != _u13797) | ( _u13795 != hAPP(hAPP(c_List_Oappend(_u13791), _u13784), _u13799)) )).
% 29.00/29.25 cnf(matrix-6197, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13807), _u13809), _u13811) != hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13809 = c_List_Olist_ONil(_u13807)) | ( _u13809 = hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), skolem319(_u13815, _u13813, _u13811, _u13809, _u13807))) )).
% 29.00/29.25 cnf(matrix-6198, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13807), _u13809), _u13811) != hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13809 = c_List_Olist_ONil(_u13807)) | ( hAPP(hAPP(c_List_Oappend(_u13807), skolem319(_u13815, _u13813, _u13811, _u13809, _u13807)), _u13811) = _u13815) )).
% 29.00/29.25 cnf(matrix-6199, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13807), _u13809), _u13811) != hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13811 = hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13809 = hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), skolem319(_u13815, _u13813, _u13811, _u13809, _u13807))) )).
% 29.00/29.25 cnf(matrix-6200, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13807), _u13809), _u13811) != hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( _u13811 = hAPP(hAPP(c_List_Olist_OCons(_u13807), _u13813), _u13815)) | ( hAPP(hAPP(c_List_Oappend(_u13807), skolem319(_u13815, _u13813, _u13811, _u13809, _u13807)), _u13811) = _u13815) )).
% 29.00/29.25 cnf(matrix-6201, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13808), _u13810), _u13812) = hAPP(hAPP(c_List_Olist_OCons(_u13808), _u13814), _u13816)) | ( _u13810 != c_List_Olist_ONil(_u13808)) | ( _u13812 != hAPP(hAPP(c_List_Olist_OCons(_u13808), _u13814), _u13816)) )).
% 29.00/29.25 cnf(matrix-6202, plain, ( ( hAPP(hAPP(c_List_Oappend(_u13808), _u13810), _u13812) = hAPP(hAPP(c_List_Olist_OCons(_u13808), _u13814), _u13816)) | ( _u13810 != hAPP(hAPP(c_List_Olist_OCons(_u13808), _u13814), _u13801)) | ( hAPP(hAPP(c_List_Oappend(_u13808), _u13801), _u13812) != _u13816) )).
% 29.00/29.25 cnf(matrix-6203, plain, ( ( c_List_Osublist(_u13817, _u13818, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u13817)) )).
% 29.00/29.25 cnf(matrix-6204, 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(_u13821)), _u13823))) | ( _u13823 != c_List_Olist_ONil(_u13821)) )).
% 29.00/29.25 cnf(matrix-6205, plain, ( ( _u13824 = c_List_Olist_ONil(_u13822)) | 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(_u13822)), _u13824))) )).
% 29.00/29.25 cnf(matrix-6206, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13825), tc_List_Olist(_u13825))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13825), tc_List_Olist(_u13825)), _u13826), c_List_Olist_ONil(_u13825))), c_List_Olexord(_u13825, _u13827))) )).
% 29.00/29.25 cnf(matrix-6207, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13828), tc_List_Olist(_u13828))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13828), tc_List_Olist(_u13828)), c_List_Olist_ONil(_u13828)), _u13829)), c_List_Olex(_u13828, _u13830))) )).
% 29.00/29.25 cnf(matrix-6208, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13831), tc_List_Olist(_u13831))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13831), tc_List_Olist(_u13831)), _u13832), c_List_Olist_ONil(_u13831))), c_List_Olex(_u13831, _u13833))) )).
% 29.00/29.25 cnf(matrix-6209, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13837)) | ( c_List_Osublist(_u13839, hAPP(hAPP(c_List_Olist_OCons(_u13839), _u13841), c_List_Olist_ONil(_u13839)), _u13837) = hAPP(hAPP(c_List_Olist_OCons(_u13839), _u13841), c_List_Olist_ONil(_u13839))) )).
% 29.00/29.25 cnf(matrix-6210, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u13838)) | ( c_List_Osublist(_u13840, hAPP(hAPP(c_List_Olist_OCons(_u13840), _u13842), c_List_Olist_ONil(_u13840)), _u13838) = c_List_Olist_ONil(_u13840)) )).
% 29.00/29.25 cnf(matrix-6211, plain, ( ( c_Random_Oselect__weight(_u13843, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u13843)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u13843), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u13844)), _u13845)) = c_Random_Oselect__weight(_u13843, _u13845)) )).
% 29.00/29.25 cnf(matrix-6212, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), hAPP(hAPP(c_List_Oappend(_u13852), _u13854), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13856), c_List_Olist_ONil(_u13852)))), hAPP(hAPP(c_List_Oappend(_u13852), _u13858), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13860), c_List_Olist_ONil(_u13852))))), c_List_Olistrel1(_u13852, _u13862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), _u13854), _u13858)), c_List_Olistrel1(_u13852, _u13862))) | ( _u13854 = _u13858) )).
% 29.00/29.25 cnf(matrix-6213, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), hAPP(hAPP(c_List_Oappend(_u13852), _u13854), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13856), c_List_Olist_ONil(_u13852)))), hAPP(hAPP(c_List_Oappend(_u13852), _u13858), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13860), c_List_Olist_ONil(_u13852))))), c_List_Olistrel1(_u13852, _u13862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), _u13854), _u13858)), c_List_Olistrel1(_u13852, _u13862))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13852, _u13852)), hAPP(hAPP(c_Product__Type_OPair(_u13852, _u13852), _u13856), _u13860)), _u13862)) )).
% 29.00/29.25 cnf(matrix-6214, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), hAPP(hAPP(c_List_Oappend(_u13852), _u13854), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13856), c_List_Olist_ONil(_u13852)))), hAPP(hAPP(c_List_Oappend(_u13852), _u13858), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13860), c_List_Olist_ONil(_u13852))))), c_List_Olistrel1(_u13852, _u13862))) | ( _u13856 = _u13860) | ( _u13854 = _u13858) )).
% 29.00/29.25 cnf(matrix-6215, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13852), tc_List_Olist(_u13852))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13852), tc_List_Olist(_u13852)), hAPP(hAPP(c_List_Oappend(_u13852), _u13854), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13856), c_List_Olist_ONil(_u13852)))), hAPP(hAPP(c_List_Oappend(_u13852), _u13858), hAPP(hAPP(c_List_Olist_OCons(_u13852), _u13860), c_List_Olist_ONil(_u13852))))), c_List_Olistrel1(_u13852, _u13862))) | ( _u13856 = _u13860) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13852, _u13852)), hAPP(hAPP(c_Product__Type_OPair(_u13852, _u13852), _u13856), _u13860)), _u13862)) )).
% 29.00/29.25 cnf(matrix-6216, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13853), tc_List_Olist(_u13853))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13853), tc_List_Olist(_u13853)), hAPP(hAPP(c_List_Oappend(_u13853), _u13855), hAPP(hAPP(c_List_Olist_OCons(_u13853), _u13857), c_List_Olist_ONil(_u13853)))), hAPP(hAPP(c_List_Oappend(_u13853), _u13859), hAPP(hAPP(c_List_Olist_OCons(_u13853), _u13861), c_List_Olist_ONil(_u13853))))), c_List_Olistrel1(_u13853, _u13863))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13853), tc_List_Olist(_u13853))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13853), tc_List_Olist(_u13853)), _u13855), _u13859)), c_List_Olistrel1(_u13853, _u13863))) | ( _u13857 != _u13861) )).
% 29.00/29.25 cnf(matrix-6217, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13853), tc_List_Olist(_u13853))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13853), tc_List_Olist(_u13853)), hAPP(hAPP(c_List_Oappend(_u13853), _u13855), hAPP(hAPP(c_List_Olist_OCons(_u13853), _u13857), c_List_Olist_ONil(_u13853)))), hAPP(hAPP(c_List_Oappend(_u13853), _u13859), hAPP(hAPP(c_List_Olist_OCons(_u13853), _u13861), c_List_Olist_ONil(_u13853))))), c_List_Olistrel1(_u13853, _u13863))) | ( _u13855 != _u13859) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13853, _u13853)), hAPP(hAPP(c_Product__Type_OPair(_u13853, _u13853), _u13857), _u13861)), _u13863)) )).
% 29.00/29.25 cnf(matrix-6218, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13865), tc_List_Olist(_u13865))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13865), tc_List_Olist(_u13865)), hAPP(hAPP(c_List_Oappend(_u13865), _u13866), _u13867)), hAPP(hAPP(c_List_Oappend(_u13865), _u13866), _u13868))), c_List_Olexord(_u13865, _u13869))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13865, _u13865)), hAPP(hAPP(c_Product__Type_OPair(_u13865, _u13865), skolem320(_u13869, _u13868, _u13867, _u13866, _u13865)), skolem320(_u13869, _u13868, _u13867, _u13866, _u13865))), _u13869)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13865), tc_List_Olist(_u13865))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13865), tc_List_Olist(_u13865)), _u13867), _u13868)), c_List_Olexord(_u13865, _u13869))) )).
% 29.00/29.25 cnf(matrix-6219, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13870), _u13871), c_Wellfounded_Oacc(_u13870, _u13872))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u13870)), _u13873), c_Wellfounded_Oacc(tc_List_Olist(_u13870), c_List_Olistrel1(_u13870, _u13872)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u13870)), hAPP(hAPP(c_List_Olist_OCons(_u13870), _u13871), _u13873)), c_Wellfounded_Oacc(tc_List_Olist(_u13870), c_List_Olistrel1(_u13870, _u13872)))) )).
% 29.00/29.25 cnf(matrix-6220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13874, _u13874), tc_HOL_Obool)), _u13875), _u13876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u13874), tc_List_Olist(_u13874)), tc_HOL_Obool)), c_List_Olistrel1(_u13874, _u13875)), c_List_Olistrel1(_u13874, _u13876))) )).
% 29.00/29.25 cnf(matrix-6221, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13877), tc_List_Olist(_u13877))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13877), tc_List_Olist(_u13877)), _u13878), _u13879)), c_List_Olistrel1(_u13877, _u13880))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13877), tc_List_Olist(_u13877))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13877), tc_List_Olist(_u13877)), hAPP(hAPP(c_List_Olist_OCons(_u13877), _u13881), _u13878)), hAPP(hAPP(c_List_Olist_OCons(_u13877), _u13881), _u13879))), c_List_Olistrel1(_u13877, _u13880))) )).
% 29.00/29.25 cnf(matrix-6222, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13882), tc_List_Olist(_u13882))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13882), tc_List_Olist(_u13882)), _u13883), _u13884)), c_List_Olistrel1(_u13882, _u13885))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13882)), _u13883) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13882)), _u13884)) )).
% 29.00/29.25 cnf(matrix-6223, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13886), tc_List_Olist(_u13886))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13886), tc_List_Olist(_u13886)), c_List_Olist_ONil(_u13886)), _u13887)), c_List_Olistrel1(_u13886, _u13888))) )).
% 29.00/29.25 cnf(matrix-6224, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13889), tc_List_Olist(_u13889))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13889), tc_List_Olist(_u13889)), _u13890), c_List_Olist_ONil(_u13889))), c_List_Olistrel1(_u13889, _u13891))) )).
% 29.00/29.25 cnf(matrix-6225, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13892), tc_List_Olist(_u13892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13892), tc_List_Olist(_u13892)), hAPP(hAPP(c_List_Oappend(_u13892), _u13893), _u13896)), hAPP(hAPP(c_List_Oappend(_u13892), _u13894), _u13897))), c_List_Olistrel1(_u13892, _u13895))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13892), tc_List_Olist(_u13892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13892), tc_List_Olist(_u13892)), _u13893), _u13894)), c_List_Olistrel1(_u13892, _u13895))) | ( _u13896 != _u13897) )).
% 29.00/29.25 cnf(matrix-6226, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13892), tc_List_Olist(_u13892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13892), tc_List_Olist(_u13892)), hAPP(hAPP(c_List_Oappend(_u13892), _u13893), _u13896)), hAPP(hAPP(c_List_Oappend(_u13892), _u13894), _u13897))), c_List_Olistrel1(_u13892, _u13895))) | ( _u13893 != _u13894) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13892), tc_List_Olist(_u13892))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13892), tc_List_Olist(_u13892)), _u13896), _u13897)), c_List_Olistrel1(_u13892, _u13895))) )).
% 29.00/29.25 cnf(matrix-6227, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13906), _u13908)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13910), _u13912))), c_List_Olistrel1(_u13904, _u13914))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13904, _u13904)), hAPP(hAPP(c_Product__Type_OPair(_u13904, _u13904), _u13906), _u13910)), _u13914)) | ( _u13906 = _u13910) )).
% 29.00/29.25 cnf(matrix-6228, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13906), _u13908)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13910), _u13912))), c_List_Olistrel1(_u13904, _u13914))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13904, _u13904)), hAPP(hAPP(c_Product__Type_OPair(_u13904, _u13904), _u13906), _u13910)), _u13914)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), _u13908), _u13912)), c_List_Olistrel1(_u13904, _u13914))) )).
% 29.00/29.25 cnf(matrix-6229, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13906), _u13908)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13910), _u13912))), c_List_Olistrel1(_u13904, _u13914))) | ( _u13908 = _u13912) | ( _u13906 = _u13910) )).
% 29.00/29.25 cnf(matrix-6230, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13906), _u13908)), hAPP(hAPP(c_List_Olist_OCons(_u13904), _u13910), _u13912))), c_List_Olistrel1(_u13904, _u13914))) | ( _u13908 = _u13912) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13904), tc_List_Olist(_u13904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13904), tc_List_Olist(_u13904)), _u13908), _u13912)), c_List_Olistrel1(_u13904, _u13914))) )).
% 29.00/29.25 cnf(matrix-6231, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13905), tc_List_Olist(_u13905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13905), tc_List_Olist(_u13905)), hAPP(hAPP(c_List_Olist_OCons(_u13905), _u13907), _u13909)), hAPP(hAPP(c_List_Olist_OCons(_u13905), _u13911), _u13913))), c_List_Olistrel1(_u13905, _u13915))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13905, _u13905)), hAPP(hAPP(c_Product__Type_OPair(_u13905, _u13905), _u13907), _u13911)), _u13915)) | ( _u13909 != _u13913) )).
% 29.00/29.25 cnf(matrix-6232, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13905), tc_List_Olist(_u13905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13905), tc_List_Olist(_u13905)), hAPP(hAPP(c_List_Olist_OCons(_u13905), _u13907), _u13909)), hAPP(hAPP(c_List_Olist_OCons(_u13905), _u13911), _u13913))), c_List_Olistrel1(_u13905, _u13915))) | ( _u13907 != _u13911) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13905), tc_List_Olist(_u13905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13905), tc_List_Olist(_u13905)), _u13909), _u13913)), c_List_Olistrel1(_u13905, _u13915))) )).
% 29.00/29.25 cnf(matrix-6233, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13916, _u13916)), hAPP(hAPP(c_Product__Type_OPair(_u13916, _u13916), _u13917), _u13918)), _u13919)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13916), tc_List_Olist(_u13916))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13916), tc_List_Olist(_u13916)), hAPP(hAPP(c_List_Olist_OCons(_u13916), _u13917), _u13920)), hAPP(hAPP(c_List_Olist_OCons(_u13916), _u13918), _u13920))), c_List_Olistrel1(_u13916, _u13919))) )).
% 29.00/29.25 cnf(matrix-6234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13921, _u13921)), hAPP(hAPP(c_Product__Type_OPair(_u13921, _u13921), _u13922), _u13923)), _u13924)) | ( _u13925 != hAPP(hAPP(c_List_Oappend(_u13921), _u13926), hAPP(hAPP(c_List_Olist_OCons(_u13921), _u13922), _u13927))) | ( _u13928 != hAPP(hAPP(c_List_Oappend(_u13921), _u13926), hAPP(hAPP(c_List_Olist_OCons(_u13921), _u13923), _u13927))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13921), tc_List_Olist(_u13921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13921), tc_List_Olist(_u13921)), _u13925), _u13928)), c_List_Olistrel1(_u13921, _u13924))) )).
% 29.00/29.25 cnf(matrix-6235, plain, ( ( c_List_Olistset(_u13929, c_List_Olist_ONil(tc_fun(_u13929, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13929)), c_List_Olist_ONil(_u13929)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13929), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-6236, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u13930), tc_List_Olist(_u13930), c_List_Olistrel(_u13930, _u13931)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13930)), hAPP(hAPP(c_List_Olist_OCons(_u13930), _u13932), _u13933)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13930), tc_HOL_Obool)))) = c_List_Oset__Cons(_u13930, hAPP(c_Relation_OImage(_u13930, _u13930, _u13931), hAPP(hAPP(c_Set_Oinsert(_u13930), _u13932), c_Orderings_Obot__class_Obot(tc_fun(_u13930, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u13930), tc_List_Olist(_u13930), c_List_Olistrel(_u13930, _u13931)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13930)), _u13933), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13930), tc_HOL_Obool)))))) )).
% 29.00/29.25 cnf(matrix-6237, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13938), tc_List_Olist(_u13938))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13938), tc_List_Olist(_u13938)), _u13939), _u13940)), c_List_Olistrel1(_u13938, _u13941))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13938, _u13938)), hAPP(hAPP(c_Product__Type_OPair(_u13938, _u13938), skolem321(_u13941, _u13940, _u13939, _u13938)), skolem322(_u13941, _u13940, _u13939, _u13938))), _u13941)) )).
% 29.00/29.25 cnf(matrix-6238, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13938), tc_List_Olist(_u13938))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13938), tc_List_Olist(_u13938)), _u13939), _u13940)), c_List_Olistrel1(_u13938, _u13941))) | ( _u13939 = hAPP(hAPP(c_List_Oappend(_u13938), skolem323(_u13941, _u13940, _u13939, _u13938)), hAPP(hAPP(c_List_Olist_OCons(_u13938), skolem321(_u13941, _u13940, _u13939, _u13938)), skolem324(_u13941, _u13940, _u13939, _u13938)))) )).
% 29.00/29.25 cnf(matrix-6239, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13938), tc_List_Olist(_u13938))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13938), tc_List_Olist(_u13938)), _u13939), _u13940)), c_List_Olistrel1(_u13938, _u13941))) | ( _u13940 = hAPP(hAPP(c_List_Oappend(_u13938), skolem323(_u13941, _u13940, _u13939, _u13938)), hAPP(hAPP(c_List_Olist_OCons(_u13938), skolem322(_u13941, _u13940, _u13939, _u13938)), skolem324(_u13941, _u13940, _u13939, _u13938)))) )).
% 29.00/29.25 cnf(matrix-6240, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13942), tc_List_Olist(_u13942))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13942), tc_List_Olist(_u13942)), _u13943), c_List_Olist_ONil(_u13942))), c_List_Olistrel(_u13942, _u13944))) | ( _u13943 = c_List_Olist_ONil(_u13942)) )).
% 29.00/29.25 cnf(matrix-6241, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13945), tc_List_Olist(_u13945))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13945), tc_List_Olist(_u13945)), c_List_Olist_ONil(_u13945)), _u13946)), c_List_Olistrel(_u13945, _u13947))) | ( _u13946 = c_List_Olist_ONil(_u13945)) )).
% 29.00/29.25 cnf(matrix-6242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13948, _u13948), tc_HOL_Obool)), _u13949), _u13950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u13948), tc_List_Olist(_u13948)), tc_HOL_Obool)), c_List_Olistrel(_u13948, _u13949)), c_List_Olistrel(_u13948, _u13950))) )).
% 29.00/29.25 cnf(matrix-6243, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13951), tc_List_Olist(_u13951))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13951), tc_List_Olist(_u13951)), _u13952), _u13953)), c_List_Olistrel(_u13951, _u13954))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13951)), _u13952) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u13951)), _u13953)) )).
% 29.00/29.25 cnf(matrix-6244, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13955), tc_List_Olist(_u13955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13955), tc_List_Olist(_u13955)), c_List_Olist_ONil(_u13955)), c_List_Olist_ONil(_u13955))), c_List_Olistrel(_u13955, _u13956))) )).
% 29.00/29.25 cnf(matrix-6245, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u13957), tc_List_Olist(_u13957), c_List_Olistrel(_u13957, _u13958)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13957)), c_List_Olist_ONil(_u13957)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13957), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u13957)), c_List_Olist_ONil(_u13957)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u13957), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-6246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13959, _u13959), tc_HOL_Obool)), _u13960), _u13961)) | ~c_Relation_Orefl__on(_u13959, c_Orderings_Otop__class_Otop(tc_fun(_u13959, tc_HOL_Obool)), _u13961) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u13959), tc_List_Olist(_u13959)), tc_HOL_Obool)), c_List_Olistrel1(_u13959, _u13960)), c_List_Olistrel(_u13959, _u13961))) )).
% 29.00/29.25 cnf(matrix-6247, plain, ( ( c_List_Olistset(_u13962, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u13962, tc_HOL_Obool)), _u13963), _u13964)) = c_List_Oset__Cons(_u13962, _u13963, c_List_Olistset(_u13962, _u13964))) )).
% 29.00/29.25 cnf(matrix-6248, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13965, _u13965)), hAPP(hAPP(c_Product__Type_OPair(_u13965, _u13965), _u13966), _u13967)), _u13968)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13965), tc_List_Olist(_u13965))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13965), tc_List_Olist(_u13965)), _u13969), _u13970)), c_List_Olistrel(_u13965, _u13968))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13965), tc_List_Olist(_u13965))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13965), tc_List_Olist(_u13965)), hAPP(hAPP(c_List_Olist_OCons(_u13965), _u13966), _u13969)), hAPP(hAPP(c_List_Olist_OCons(_u13965), _u13967), _u13970))), c_List_Olistrel(_u13965, _u13968))) )).
% 29.00/29.25 cnf(matrix-6249, plain, ( ~c_List_Olistrelp(_u13975, hAPP(hAPP(c_COMBC(_u13975, tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_fun(_u13975, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13975, tc_fun(tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_fun(_u13975, tc_HOL_Obool)), _u13975), c_COMBC(_u13975, tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13975, tc_prod(_u13975, _u13975)), tc_fun(_u13975, tc_fun(tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_HOL_Obool)), _u13975), hAPP(c_COMBB(tc_prod(_u13975, _u13975), tc_fun(tc_fun(tc_prod(_u13975, _u13975), tc_HOL_Obool), tc_HOL_Obool), _u13975), c_member(tc_prod(_u13975, _u13975)))), c_Product__Type_OPair(_u13975, _u13975)))), _u13977), _u13979, _u13981) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13975), tc_List_Olist(_u13975))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13975), tc_List_Olist(_u13975)), _u13979), _u13981)), c_List_Olistrel(_u13975, _u13977))) )).
% 29.00/29.25 cnf(matrix-6250, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13976), tc_List_Olist(_u13976))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13976), tc_List_Olist(_u13976)), _u13980), _u13982)), c_List_Olistrel(_u13976, _u13978))) | c_List_Olistrelp(_u13976, hAPP(hAPP(c_COMBC(_u13976, tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_fun(_u13976, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13976, tc_fun(tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_fun(_u13976, tc_HOL_Obool)), _u13976), c_COMBC(_u13976, tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13976, tc_prod(_u13976, _u13976)), tc_fun(_u13976, tc_fun(tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_HOL_Obool)), _u13976), hAPP(c_COMBB(tc_prod(_u13976, _u13976), tc_fun(tc_fun(tc_prod(_u13976, _u13976), tc_HOL_Obool), tc_HOL_Obool), _u13976), c_member(tc_prod(_u13976, _u13976)))), c_Product__Type_OPair(_u13976, _u13976)))), _u13978), _u13980, _u13982) )).
% 29.00/29.25 cnf(matrix-6251, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13985), tc_List_Olist(_u13985))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13985), tc_List_Olist(_u13985)), hAPP(hAPP(c_List_Olist_OCons(_u13985), _u13986), _u13987)), _u13988)), c_List_Olistrel(_u13985, _u13989))) | ( _u13988 = hAPP(hAPP(c_List_Olist_OCons(_u13985), skolem325(_u13989, _u13988, _u13987, _u13986, _u13985)), skolem326(_u13989, _u13988, _u13987, _u13986, _u13985))) )).
% 29.00/29.25 cnf(matrix-6252, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13985), tc_List_Olist(_u13985))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13985), tc_List_Olist(_u13985)), hAPP(hAPP(c_List_Olist_OCons(_u13985), _u13986), _u13987)), _u13988)), c_List_Olistrel(_u13985, _u13989))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13985, _u13985)), hAPP(hAPP(c_Product__Type_OPair(_u13985, _u13985), _u13986), skolem325(_u13989, _u13988, _u13987, _u13986, _u13985))), _u13989)) )).
% 29.00/29.25 cnf(matrix-6253, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13985), tc_List_Olist(_u13985))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13985), tc_List_Olist(_u13985)), hAPP(hAPP(c_List_Olist_OCons(_u13985), _u13986), _u13987)), _u13988)), c_List_Olistrel(_u13985, _u13989))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13985), tc_List_Olist(_u13985))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13985), tc_List_Olist(_u13985)), _u13987), skolem326(_u13989, _u13988, _u13987, _u13986, _u13985))), c_List_Olistrel(_u13985, _u13989))) )).
% 29.00/29.25 cnf(matrix-6254, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13992), tc_List_Olist(_u13992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13992), tc_List_Olist(_u13992)), _u13993), hAPP(hAPP(c_List_Olist_OCons(_u13992), _u13994), _u13995))), c_List_Olistrel(_u13992, _u13996))) | ( _u13993 = hAPP(hAPP(c_List_Olist_OCons(_u13992), skolem327(_u13996, _u13995, _u13994, _u13993, _u13992)), skolem328(_u13996, _u13995, _u13994, _u13993, _u13992))) )).
% 29.00/29.25 cnf(matrix-6255, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13992), tc_List_Olist(_u13992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13992), tc_List_Olist(_u13992)), _u13993), hAPP(hAPP(c_List_Olist_OCons(_u13992), _u13994), _u13995))), c_List_Olistrel(_u13992, _u13996))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13992, _u13992)), hAPP(hAPP(c_Product__Type_OPair(_u13992, _u13992), skolem327(_u13996, _u13995, _u13994, _u13993, _u13992)), _u13994)), _u13996)) )).
% 29.00/29.25 cnf(matrix-6256, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13992), tc_List_Olist(_u13992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13992), tc_List_Olist(_u13992)), _u13993), hAPP(hAPP(c_List_Olist_OCons(_u13992), _u13994), _u13995))), c_List_Olistrel(_u13992, _u13996))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u13992), tc_List_Olist(_u13992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u13992), tc_List_Olist(_u13992)), skolem328(_u13996, _u13995, _u13994, _u13993, _u13992)), _u13995)), c_List_Olistrel(_u13992, _u13996))) )).
% 29.00/29.25 cnf(matrix-6257, plain, ( c_List_Olistrelp(_u13997, _u13998, c_List_Olist_ONil(_u13997), c_List_Olist_ONil(_u13997)) )).
% 29.00/29.25 cnf(matrix-6258, plain, ( c_List_Olistrelp(_u13999, _u14000, c_List_Olist_ONil(_u13999), c_List_Olist_ONil(_u13999)) )).
% 29.00/29.25 cnf(matrix-6259, plain, ( ~hBOOL(hAPP(hAPP(_u14001, _u14002), _u14003)) | ~c_List_Olistrelp(_u14004, _u14001, _u14005, _u14006) | c_List_Olistrelp(_u14004, _u14001, hAPP(hAPP(c_List_Olist_OCons(_u14004), _u14002), _u14005), hAPP(hAPP(c_List_Olist_OCons(_u14004), _u14003), _u14006)) )).
% 29.00/29.25 cnf(matrix-6260, plain, ( ~c_List_Olistrelp(_u14013, _u14015, hAPP(hAPP(c_List_Olist_OCons(_u14013), _u14017), _u14019), hAPP(hAPP(c_List_Olist_OCons(_u14013), _u14021), _u14023)) | hBOOL(hAPP(hAPP(_u14015, _u14017), _u14021)) )).
% 29.00/29.25 cnf(matrix-6261, plain, ( ~c_List_Olistrelp(_u14013, _u14015, hAPP(hAPP(c_List_Olist_OCons(_u14013), _u14017), _u14019), hAPP(hAPP(c_List_Olist_OCons(_u14013), _u14021), _u14023)) | c_List_Olistrelp(_u14013, _u14015, _u14019, _u14023) )).
% 29.00/29.25 cnf(matrix-6262, plain, ( ~hBOOL(hAPP(hAPP(_u14016, _u14018), _u14022)) | ~c_List_Olistrelp(_u14014, _u14016, _u14020, _u14024) | c_List_Olistrelp(_u14014, _u14016, hAPP(hAPP(c_List_Olist_OCons(_u14014), _u14018), _u14020), hAPP(hAPP(c_List_Olist_OCons(_u14014), _u14022), _u14024)) )).
% 29.00/29.25 cnf(matrix-6263, plain, ( ( _u14030 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u14032, _u14034, _u14036), _u14030), _u14038) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14034), _u14032), c_List_Olist_ONil(_u14034)), _u14038)) )).
% 29.00/29.25 cnf(matrix-6264, plain, ( ( _u14031 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u14033, _u14035, _u14037), _u14031), _u14039) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u14035), _u14033), tc_prod(_u14035, _u14033), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14035), _u14033), c_List_Olist_ONil(_u14035)), _u14039), hAPP(c_Product__Type_Oprod_Oprod__case(_u14035, _u14033, tc_prod(tc_List_Olist(_u14035), _u14033)), hAPP(hAPP(c_COMBC(_u14035, tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033)), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u14035), _u14033), tc_prod(tc_List_Olist(_u14035), _u14033)), tc_fun(tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033)), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), _u14035), c_COMBB(tc_prod(tc_List_Olist(_u14035), _u14033), tc_prod(tc_List_Olist(_u14035), _u14033), _u14033)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14035), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), tc_fun(tc_prod(tc_List_Olist(_u14035), _u14033), tc_prod(tc_List_Olist(_u14035), _u14033)), _u14035), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14035), _u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14035), tc_List_Olist(_u14035)), tc_fun(tc_List_Olist(_u14035), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033))), _u14035), hAPP(c_COMBB(tc_List_Olist(_u14035), tc_fun(_u14033, tc_prod(tc_List_Olist(_u14035), _u14033)), tc_List_Olist(_u14035)), c_Product__Type_OPair(tc_List_Olist(_u14035), _u14033))), c_List_Olist_OCons(_u14035))))), hAPP(c_Lazy__Sequence_Oanamorph(_u14033, _u14035, _u14037), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14031), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u14037, _u14039))) )).
% 29.00/29.25 cnf(matrix-6265, plain, ( ( c_List_Olist_Olist__size(_u14040, _u14041, hAPP(hAPP(c_List_Olist_OCons(_u14040), _u14042), _u14043)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u14041, _u14042)), c_List_Olist_Olist__size(_u14040, _u14041, _u14043))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.25 cnf(matrix-6266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14044, _u14044), tc_HOL_Obool)), _u14045), hAPP(hAPP(c_Product__Type_OSigma(_u14044, _u14044), _u14046), hAPP(c_COMBK(tc_fun(_u14044, tc_HOL_Obool), _u14044), _u14046)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14044), tc_List_Olist(_u14044)), tc_HOL_Obool)), c_List_Olistrel(_u14044, _u14045)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u14044), tc_List_Olist(_u14044)), c_List_Olists(_u14044, _u14046)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u14044), tc_HOL_Obool), tc_List_Olist(_u14044)), c_List_Olists(_u14044, _u14046))))) )).
% 29.00/29.25 cnf(matrix-6267, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14047)), c_List_Olist_ONil(_u14047)), c_List_Olists(_u14047, _u14048))) )).
% 29.00/29.25 cnf(matrix-6268, plain, ( ( c_List_Olists(_u14049, c_Orderings_Otop__class_Otop(tc_fun(_u14049, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14049), tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14050, tc_HOL_Obool)), _u14051), _u14052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u14050), tc_HOL_Obool)), c_List_Olists(_u14050, _u14051)), c_List_Olists(_u14050, _u14052))) )).
% 29.00/29.25 cnf(matrix-6270, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14057)), hAPP(hAPP(c_List_Oappend(_u14057), _u14059), _u14061)), c_List_Olists(_u14057, _u14063))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14057)), _u14059), c_List_Olists(_u14057, _u14063))) )).
% 29.00/29.25 cnf(matrix-6271, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14057)), hAPP(hAPP(c_List_Oappend(_u14057), _u14059), _u14061)), c_List_Olists(_u14057, _u14063))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14057)), _u14061), c_List_Olists(_u14057, _u14063))) )).
% 29.00/29.25 cnf(matrix-6272, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14058)), _u14060), c_List_Olists(_u14058, _u14064))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14058)), _u14062), c_List_Olists(_u14058, _u14064))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14058)), hAPP(hAPP(c_List_Oappend(_u14058), _u14060), _u14062)), c_List_Olists(_u14058, _u14064))) )).
% 29.00/29.25 cnf(matrix-6273, plain, ( ~c_Equiv__Relations_Oequiv(_u14065, _u14066, _u14067) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u14065), c_List_Olists(_u14065, _u14066), c_List_Olistrel(_u14065, _u14067)) )).
% 29.00/29.25 cnf(matrix-6274, plain, ( ~c_Relation_Orefl__on(_u14068, _u14069, _u14070) | c_Relation_Orefl__on(tc_List_Olist(_u14068), c_List_Olists(_u14068, _u14069), c_List_Olistrel(_u14068, _u14070)) )).
% 29.00/29.25 cnf(matrix-6275, plain, ( ( c_List_Olist_Olist__size(_u14071, _u14072, c_List_Olist_ONil(_u14071)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-6276, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14077)), hAPP(hAPP(c_List_Olist_OCons(_u14077), _u14079), _u14081)), c_List_Olists(_u14077, _u14083))) | hBOOL(hAPP(hAPP(c_member(_u14077), _u14079), _u14083)) )).
% 29.00/29.25 cnf(matrix-6277, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14077)), hAPP(hAPP(c_List_Olist_OCons(_u14077), _u14079), _u14081)), c_List_Olists(_u14077, _u14083))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14077)), _u14081), c_List_Olists(_u14077, _u14083))) )).
% 29.00/29.25 cnf(matrix-6278, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14078), _u14080), _u14084)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14078)), _u14082), c_List_Olists(_u14078, _u14084))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14078)), hAPP(hAPP(c_List_Olist_OCons(_u14078), _u14080), _u14082)), c_List_Olists(_u14078, _u14084))) )).
% 29.00/29.25 cnf(matrix-6279, plain, ( ( c_List_Olists(_u14085, c_Orderings_Obot__class_Obot(tc_fun(_u14085, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14085)), c_List_Olist_ONil(_u14085)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14085), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-6280, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14086)), _u14087), c_List_Olists(_u14086, c_Wellfounded_Oacc(_u14086, _u14088)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14086)), _u14087), c_Wellfounded_Oacc(tc_List_Olist(_u14086), c_List_Olistrel1(_u14086, _u14088)))) )).
% 29.00/29.25 cnf(matrix-6281, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14089)), _u14090), c_Wellfounded_Oacc(tc_List_Olist(_u14089), c_List_Olistrel1(_u14089, _u14091)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14089)), _u14090), c_List_Olists(_u14089, c_Wellfounded_Oacc(_u14089, _u14091)))) )).
% 29.00/29.25 cnf(matrix-6282, plain, ( ( _u14094 != hAPP(hAPP(c_List_Olist_OCons(_u14095), _u14093), _u14092)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14095), tc_List_Olist(_u14095))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14095), tc_List_Olist(_u14095)), _u14096), hAPP(hAPP(c_List_Oappend(_u14095), _u14096), _u14094))), c_List_Olexord(_u14095, _u14097))) )).
% 29.00/29.25 cnf(matrix-6283, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14105), tc_List_Olist(_u14105))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14105), tc_List_Olist(_u14105)), c_List_Olist_ONil(_u14105)), _u14107)), c_List_Olexord(_u14105, _u14109))) | ( _u14107 = hAPP(hAPP(c_List_Olist_OCons(_u14105), skolem329(_u14109, _u14107, _u14105)), skolem330(_u14109, _u14107, _u14105))) )).
% 29.00/29.25 cnf(matrix-6284, plain, ( ( _u14108 != hAPP(hAPP(c_List_Olist_OCons(_u14106), _u14101), _u14100)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14106), tc_List_Olist(_u14106))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14106), tc_List_Olist(_u14106)), c_List_Olist_ONil(_u14106)), _u14108)), c_List_Olexord(_u14106, _u14110))) )).
% 29.00/29.25 cnf(matrix-6285, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14117), tc_List_Olist(_u14117))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14117), tc_List_Olist(_u14117)), _u14119), _u14121)), c_List_Olistrel(_u14117, _u14123))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14117)), _u14119) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14117)), _u14121)) )).
% 29.00/29.25 cnf(matrix-6286, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14117), tc_List_Olist(_u14117))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14117), tc_List_Olist(_u14117)), _u14119), _u14121)), c_List_Olistrel(_u14117, _u14123))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14111), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14117)), _u14119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14117, _u14117)), hAPP(hAPP(c_Product__Type_OPair(_u14117, _u14117), hAPP(hAPP(c_List_Onth(_u14117), _u14119), _u14111)), hAPP(hAPP(c_List_Onth(_u14117), _u14121), _u14111))), _u14123)) )).
% 29.00/29.25 cnf(matrix-6287, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14118), tc_List_Olist(_u14118))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14118), tc_List_Olist(_u14118)), _u14120), _u14122)), c_List_Olistrel(_u14118, _u14124))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14120) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem331(_u14124, _u14122, _u14120, _u14118)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14120))) )).
% 29.00/29.25 cnf(matrix-6288, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14118), tc_List_Olist(_u14118))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14118), tc_List_Olist(_u14118)), _u14120), _u14122)), c_List_Olistrel(_u14118, _u14124))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14120) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14118)), _u14122)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14118, _u14118)), hAPP(hAPP(c_Product__Type_OPair(_u14118, _u14118), hAPP(hAPP(c_List_Onth(_u14118), _u14120), skolem331(_u14124, _u14122, _u14120, _u14118))), hAPP(hAPP(c_List_Onth(_u14118), _u14122), skolem331(_u14124, _u14122, _u14120, _u14118)))), _u14124)) )).
% 29.00/29.25 cnf(matrix-6289, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14125)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14125), tc_HOL_Obool)))) )).
% 29.00/29.25 cnf(matrix-6290, plain, ( ( _u14131 != _u14133) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14135)), _u14131) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14135)), _u14133)) )).
% 29.00/29.25 cnf(matrix-6291, plain, ( ( _u14131 != _u14133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14126), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14135)), _u14131))) | ( hAPP(hAPP(c_List_Onth(_u14135), _u14131), _u14126) = hAPP(hAPP(c_List_Onth(_u14135), _u14133), _u14126)) )).
% 29.00/29.25 cnf(matrix-6292, plain, ( ( _u14132 = _u14134) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14132) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem332(_u14136, _u14134, _u14132)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14132))) )).
% 29.00/29.25 cnf(matrix-6293, plain, ( ( _u14132 = _u14134) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14132) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14136)), _u14134)) | ( hAPP(hAPP(c_List_Onth(_u14136), _u14132), skolem332(_u14136, _u14134, _u14132)) != hAPP(hAPP(c_List_Onth(_u14136), _u14134), skolem332(_u14136, _u14134, _u14132))) )).
% 29.00/29.25 cnf(matrix-6294, plain, ( ( hAPP(hAPP(c_List_Onth(_u14137), hAPP(hAPP(c_List_Olist_OCons(_u14137), _u14138), _u14139)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u14138) )).
% 29.00/29.25 cnf(matrix-6295, plain, ( ( hAPP(hAPP(c_List_Onth(_u14140), hAPP(hAPP(c_List_Olist_OCons(_u14140), _u14141), _u14142)), hAPP(c_Nat_OSuc, _u14143)) = hAPP(hAPP(c_List_Onth(_u14140), _u14142), _u14143)) )).
% 29.00/29.25 cnf(matrix-6296, plain, ( ( hAPP(hAPP(c_List_Onth(_u14144), hAPP(hAPP(c_List_Olist_OCons(_u14144), _u14145), _u14146)), _u14147) = c_Nat_Onat_Onat__case(_u14144, _u14145, hAPP(c_List_Onth(_u14144), _u14146), _u14147)) )).
% 29.00/29.25 cnf(matrix-6297, plain, ( ( hAPP(hAPP(c_List_Onth(_u14148), hAPP(hAPP(c_List_Oappend(_u14148), _u14149), hAPP(hAPP(c_List_Olist_OCons(_u14148), _u14150), _u14151))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14148)), _u14149)) = _u14150) )).
% 29.00/29.25 cnf(matrix-6298, plain, ( ( hAPP(hAPP(c_List_Onth(_u14152), hAPP(hAPP(c_List_Oappend(_u14152), _u14153), _u14154)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14152)), _u14153)), _u14155)) = hAPP(hAPP(c_List_Onth(_u14152), _u14154), _u14155)) )).
% 29.00/29.25 cnf(matrix-6299, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14160), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14162)), _u14164))) | ( hAPP(hAPP(c_List_Onth(_u14162), hAPP(hAPP(c_List_Oappend(_u14162), _u14164), _u14166)), _u14160) = hAPP(hAPP(c_List_Onth(_u14162), _u14164), _u14160)) )).
% 29.00/29.25 cnf(matrix-6300, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14161), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14163)), _u14165))) | ( hAPP(hAPP(c_List_Onth(_u14163), hAPP(hAPP(c_List_Oappend(_u14163), _u14165), _u14167)), _u14161) = hAPP(hAPP(c_List_Onth(_u14163), _u14167), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14161), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14163)), _u14165)))) )).
% 29.00/29.25 cnf(matrix-6301, plain, ( ( _u14172 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u14174), hAPP(hAPP(c_List_Olist_OCons(_u14174), _u14176), _u14178)), _u14172) = _u14176) )).
% 29.00/29.25 cnf(matrix-6302, plain, ( ( _u14173 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u14175), hAPP(hAPP(c_List_Olist_OCons(_u14175), _u14177), _u14179)), _u14173) = hAPP(hAPP(c_List_Onth(_u14175), _u14179), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14173), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 29.00/29.25 cnf(matrix-6303, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14184) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u14186), hAPP(hAPP(c_List_Olist_OCons(_u14186), _u14188), _u14190)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14184)) = _u14188) )).
% 29.00/29.25 cnf(matrix-6304, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14185) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u14187), hAPP(hAPP(c_List_Olist_OCons(_u14187), _u14189), _u14191)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14185)) = hAPP(hAPP(c_List_Onth(_u14187), _u14191), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14185)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 29.00/29.25 cnf(matrix-6305, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem333(_u14204, _u14202, _u14200, _u14198)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202)))) )).
% 29.00/29.25 cnf(matrix-6306, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202))) | ( hAPP(hAPP(c_List_Otake(_u14198), skolem333(_u14204, _u14202, _u14200, _u14198)), _u14200) = hAPP(hAPP(c_List_Otake(_u14198), skolem333(_u14204, _u14202, _u14200, _u14198)), _u14202)) )).
% 29.00/29.25 cnf(matrix-6307, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), hAPP(hAPP(c_Product__Type_OPair(_u14198, _u14198), hAPP(hAPP(c_List_Onth(_u14198), _u14200), skolem333(_u14204, _u14202, _u14200, _u14198))), hAPP(hAPP(c_List_Onth(_u14198), _u14202), skolem333(_u14204, _u14202, _u14200, _u14198)))), _u14204)) )).
% 29.00/29.25 cnf(matrix-6308, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | ( hAPP(hAPP(c_List_Otake(_u14198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), _u14202) = _u14200) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem333(_u14204, _u14202, _u14200, _u14198)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14202)))) )).
% 29.00/29.25 cnf(matrix-6309, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | ( hAPP(hAPP(c_List_Otake(_u14198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), _u14202) = _u14200) | ( hAPP(hAPP(c_List_Otake(_u14198), skolem333(_u14204, _u14202, _u14200, _u14198)), _u14200) = hAPP(hAPP(c_List_Otake(_u14198), skolem333(_u14204, _u14202, _u14200, _u14198)), _u14202)) )).
% 29.00/29.25 cnf(matrix-6310, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14198), tc_List_Olist(_u14198))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14198), tc_List_Olist(_u14198)), _u14200), _u14202)), c_List_Olexord(_u14198, _u14204))) | ( hAPP(hAPP(c_List_Otake(_u14198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14198)), _u14200)), _u14202) = _u14200) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), hAPP(hAPP(c_Product__Type_OPair(_u14198, _u14198), hAPP(hAPP(c_List_Onth(_u14198), _u14200), skolem333(_u14204, _u14202, _u14200, _u14198))), hAPP(hAPP(c_List_Onth(_u14198), _u14202), skolem333(_u14204, _u14202, _u14200, _u14198)))), _u14204)) )).
% 29.00/29.25 cnf(matrix-6311, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14199), tc_List_Olist(_u14199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14199), tc_List_Olist(_u14199)), _u14201), _u14203)), c_List_Olexord(_u14199, _u14205))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14201)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14203))) | ( hAPP(hAPP(c_List_Otake(_u14199), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14201)), _u14203) != _u14201) )).
% 29.00/29.25 cnf(matrix-6312, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14199), tc_List_Olist(_u14199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14199), tc_List_Olist(_u14199)), _u14201), _u14203)), c_List_Olexord(_u14199, _u14205))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14193), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14201)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14199)), _u14203)))) | ( hAPP(hAPP(c_List_Otake(_u14199), _u14193), _u14201) != hAPP(hAPP(c_List_Otake(_u14199), _u14193), _u14203)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14199, _u14199)), hAPP(hAPP(c_Product__Type_OPair(_u14199, _u14199), hAPP(hAPP(c_List_Onth(_u14199), _u14201), _u14193)), hAPP(hAPP(c_List_Onth(_u14199), _u14203), _u14193))), _u14205)) )).
% 29.00/29.25 cnf(matrix-6313, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14206), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14207)), _u14208))) | ( hAPP(hAPP(c_List_Otake(_u14207), hAPP(c_Nat_OSuc, _u14206)), _u14208) = hAPP(hAPP(c_List_Oappend(_u14207), hAPP(hAPP(c_List_Otake(_u14207), _u14206), _u14208)), hAPP(hAPP(c_List_Olist_OCons(_u14207), hAPP(hAPP(c_List_Onth(_u14207), _u14208), _u14206)), c_List_Olist_ONil(_u14207)))) )).
% 29.00/29.25 cnf(matrix-6314, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14210, _u14210)), hAPP(hAPP(c_Product__Type_OPair(_u14210, _u14210), skolem334(_u14212, _u14211, _u14210)), skolem334(_u14212, _u14211, _u14210))), _u14211)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14210), tc_List_Olist(_u14210))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14210), tc_List_Olist(_u14210)), _u14212), _u14212)), c_List_Olexord(_u14210, _u14211))) )).
% 29.00/29.25 cnf(matrix-6315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14213)), _u14214)), _u14215)) | ( hAPP(hAPP(c_List_Otake(_u14213), _u14215), _u14214) = _u14214) )).
% 29.00/29.25 cnf(matrix-6316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14216), _u14217)) | ( hAPP(hAPP(c_List_Onth(_u14218), hAPP(hAPP(c_List_Otake(_u14218), _u14217), _u14219)), _u14216) = hAPP(hAPP(c_List_Onth(_u14218), _u14219), _u14216)) )).
% 29.00/29.25 cnf(matrix-6317, plain, ( ( hAPP(hAPP(c_List_Otake(_u14220), hAPP(c_Nat_OSuc, _u14221)), hAPP(hAPP(c_List_Olist_OCons(_u14220), _u14222), _u14223)) = hAPP(hAPP(c_List_Olist_OCons(_u14220), _u14222), hAPP(hAPP(c_List_Otake(_u14220), _u14221), _u14223))) )).
% 29.00/29.25 cnf(matrix-6318, plain, ( ( hAPP(hAPP(c_List_Otake(_u14224), _u14225), hAPP(hAPP(c_List_Otake(_u14224), _u14226), _u14227)) = hAPP(hAPP(c_List_Otake(_u14224), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u14225), _u14226)), _u14227)) )).
% 29.00/29.25 cnf(matrix-6319, plain, ( ( hAPP(hAPP(c_List_Otake(_u14228), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14229) = c_List_Olist_ONil(_u14228)) )).
% 29.00/29.25 cnf(matrix-6320, plain, ( ( hAPP(hAPP(c_List_Otake(_u14233), _u14235), _u14237) != c_List_Olist_ONil(_u14233)) | ( _u14235 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14237 = c_List_Olist_ONil(_u14233)) )).
% 29.00/29.25 cnf(matrix-6321, plain, ( ( hAPP(hAPP(c_List_Otake(_u14234), _u14236), _u14238) = c_List_Olist_ONil(_u14234)) | ( _u14236 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.25 cnf(matrix-6322, plain, ( ( hAPP(hAPP(c_List_Otake(_u14234), _u14236), _u14238) = c_List_Olist_ONil(_u14234)) | ( _u14238 != c_List_Olist_ONil(_u14234)) )).
% 29.00/29.25 cnf(matrix-6323, plain, ( ( hAPP(hAPP(c_List_Otake(_u14239), _u14240), c_List_Olist_ONil(_u14239)) = c_List_Olist_ONil(_u14239)) )).
% 29.00/29.25 cnf(matrix-6324, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14241)), hAPP(hAPP(c_List_Otake(_u14241), _u14242), _u14243)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14241)), _u14243)), _u14242)) )).
% 29.00/29.25 cnf(matrix-6325, plain, ( ( hAPP(hAPP(c_List_Otake(_u14244), _u14245), hAPP(hAPP(c_List_Olist_OCons(_u14244), _u14246), _u14247)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u14244), c_List_Olist_ONil(_u14244), hAPP(hAPP(c_COMBB(tc_List_Olist(_u14244), tc_List_Olist(_u14244), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u14244), _u14246)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u14244), tc_List_Olist(_u14244)), c_List_Otake(_u14244)), _u14247)), _u14245)) )).
% 29.00/29.25 cnf(matrix-6326, plain, ( ( c_List_Osublist(_u14248, _u14249, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u14250)) = hAPP(hAPP(c_List_Otake(_u14248), _u14250), _u14249)) )).
% 29.00/29.25 cnf(matrix-6327, plain, ( ( hAPP(hAPP(c_List_Otake(_u14251), _u14252), hAPP(hAPP(c_List_Oappend(_u14251), _u14253), _u14254)) = hAPP(hAPP(c_List_Oappend(_u14251), hAPP(hAPP(c_List_Otake(_u14251), _u14252), _u14253)), hAPP(hAPP(c_List_Otake(_u14251), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14252), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14251)), _u14253))), _u14254))) )).
% 29.00/29.25 cnf(matrix-6328, plain, ( ( hAPP(hAPP(c_List_Otake(_u14255), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u14255), _u14256), _u14257)) = hAPP(hAPP(c_List_Olist_OCons(_u14255), _u14256), c_List_Olist_ONil(_u14255))) )).
% 29.00/29.25 cnf(matrix-6329, plain, ( ( _u14262 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u14264), _u14262), hAPP(hAPP(c_List_Olist_OCons(_u14264), _u14266), _u14268)) = c_List_Olist_ONil(_u14264)) )).
% 29.00/29.25 cnf(matrix-6330, plain, ( ( _u14263 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u14265), _u14263), hAPP(hAPP(c_List_Olist_OCons(_u14265), _u14267), _u14269)) = hAPP(hAPP(c_List_Olist_OCons(_u14265), _u14267), hAPP(hAPP(c_List_Otake(_u14265), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14263), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u14269))) )).
% 29.00/29.25 cnf(matrix-6331, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14274) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u14276), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14274)), hAPP(hAPP(c_List_Olist_OCons(_u14276), _u14278), _u14280)) = c_List_Olist_ONil(_u14276)) )).
% 29.00/29.25 cnf(matrix-6332, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14275) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u14277), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14275)), hAPP(hAPP(c_List_Olist_OCons(_u14277), _u14279), _u14281)) = hAPP(hAPP(c_List_Olist_OCons(_u14277), _u14279), hAPP(hAPP(c_List_Otake(_u14277), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14275)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u14281))) )).
% 29.00/29.25 cnf(matrix-6333, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14282), _u14283)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14282)), hAPP(c_Set_OCollect(tc_List_Olist(_u14282)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14282), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14282)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14282), tc_fun(_u14282, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14282, tc_HOL_Obool), tc_fun(tc_fun(_u14282, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14282)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14282, tc_HOL_Obool))), c_List_Oset(_u14282))), _u14283))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14282), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14282)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14282)))), _u14284))))) )).
% 29.00/29.25 cnf(matrix-6334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14285), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14286)), _u14287))) | ( _u14287 = hAPP(hAPP(c_List_Oappend(_u14286), hAPP(hAPP(c_List_Otake(_u14286), _u14285), _u14287)), hAPP(hAPP(c_List_Olist_OCons(_u14286), hAPP(hAPP(c_List_Onth(_u14286), _u14287), _u14285)), hAPP(hAPP(c_List_Odrop(_u14286), hAPP(c_Nat_OSuc, _u14285)), _u14287)))) )).
% 29.00/29.25 cnf(matrix-6335, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14288), hAPP(c_List_Oset(_u14288), _u14289))) )).
% 29.00/29.25 cnf(matrix-6336, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14290, tc_HOL_Obool)), hAPP(c_List_Oset(_u14290), hAPP(hAPP(c_List_Otake(_u14290), _u14291), _u14292))), hAPP(c_List_Oset(_u14290), _u14292))) )).
% 29.00/29.25 cnf(matrix-6337, plain, ( ( hAPP(hAPP(c_List_Otake(_u14293), _u14294), hAPP(hAPP(c_List_Odrop(_u14293), _u14295), _u14296)) = hAPP(hAPP(c_List_Odrop(_u14293), _u14295), hAPP(hAPP(c_List_Otake(_u14293), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14294), _u14295)), _u14296))) )).
% 29.00/29.25 cnf(matrix-6338, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14297), _u14298), hAPP(c_List_Oset(_u14297), hAPP(hAPP(c_List_Otake(_u14297), _u14299), _u14300)))) | hBOOL(hAPP(hAPP(c_member(_u14297), _u14298), hAPP(c_List_Oset(_u14297), _u14300))) )).
% 29.00/29.25 cnf(matrix-6339, plain, ( ( hAPP(c_List_Oset(_u14301), c_List_Olist_ONil(_u14301)) = c_Orderings_Obot__class_Obot(tc_fun(_u14301, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6340, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u14304, tc_HOL_Obool)) != hAPP(c_List_Oset(_u14304), _u14306)) | ( _u14306 = c_List_Olist_ONil(_u14304)) )).
% 29.00/29.25 cnf(matrix-6341, plain, ( ( _u14307 != c_List_Olist_ONil(_u14305)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u14305, tc_HOL_Obool)) = hAPP(c_List_Oset(_u14305), _u14307)) )).
% 29.00/29.25 cnf(matrix-6342, plain, ( ( hAPP(c_List_Oset(_u14310), _u14312) != c_Orderings_Obot__class_Obot(tc_fun(_u14310, tc_HOL_Obool))) | ( _u14312 = c_List_Olist_ONil(_u14310)) )).
% 29.00/29.25 cnf(matrix-6343, plain, ( ( _u14313 != c_List_Olist_ONil(_u14311)) | ( hAPP(c_List_Oset(_u14311), _u14313) = c_Orderings_Obot__class_Obot(tc_fun(_u14311, tc_HOL_Obool))) )).
% 29.00/29.25 cnf(matrix-6344, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14314), _u14315), c_List_Olist_ONil(_u14314)) = c_List_Olist_ONil(_u14314)) )).
% 29.00/29.25 cnf(matrix-6345, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14316), _u14317), hAPP(c_List_Oset(_u14316), hAPP(hAPP(c_List_Odrop(_u14316), _u14318), _u14319)))) | hBOOL(hAPP(hAPP(c_member(_u14316), _u14317), hAPP(c_List_Oset(_u14316), _u14319))) )).
% 29.00/29.25 cnf(matrix-6346, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14320)), hAPP(hAPP(c_List_Odrop(_u14320), _u14321), _u14322)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14320)), _u14322)), _u14321)) )).
% 29.00/29.25 cnf(matrix-6347, plain, ( ( hAPP(c_List_Oset(_u14323), hAPP(hAPP(c_List_Oappend(_u14323), _u14324), _u14325)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14323, tc_HOL_Obool)), hAPP(c_List_Oset(_u14323), _u14324)), hAPP(c_List_Oset(_u14323), _u14325))) )).
% 29.00/29.25 cnf(matrix-6348, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14326), _u14327), hAPP(hAPP(c_List_Odrop(_u14326), _u14328), _u14329)) = hAPP(hAPP(c_List_Odrop(_u14326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14327), _u14328)), _u14329)) )).
% 29.00/29.25 cnf(matrix-6349, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14330), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14331) = _u14331) )).
% 29.00/29.25 cnf(matrix-6350, plain, ( ( hAPP(c_List_Oset(_u14332), hAPP(hAPP(c_List_Olist_OCons(_u14332), _u14333), _u14334)) = hAPP(hAPP(c_Set_Oinsert(_u14332), _u14333), hAPP(c_List_Oset(_u14332), _u14334))) )).
% 29.00/29.25 cnf(matrix-6351, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14335), _u14336), hAPP(hAPP(c_List_Olist_OCons(_u14335), _u14337), _u14338)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u14335), hAPP(hAPP(c_List_Olist_OCons(_u14335), _u14337), _u14338), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u14335), tc_List_Olist(_u14335)), c_List_Odrop(_u14335)), _u14338), _u14336)) )).
% 29.00/29.25 cnf(matrix-6352, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14339), hAPP(c_Nat_OSuc, _u14340)), hAPP(hAPP(c_List_Olist_OCons(_u14339), _u14341), _u14342)) = hAPP(hAPP(c_List_Odrop(_u14339), _u14340), _u14342)) )).
% 29.00/29.25 cnf(matrix-6353, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14343), _u14344), hAPP(c_List_Oset(_u14343), hAPP(hAPP(c_List_Olist_OCons(_u14343), _u14345), _u14346)))) | ( _u14344 = _u14345) | hBOOL(hAPP(hAPP(c_member(_u14343), _u14344), hAPP(c_List_Oset(_u14343), _u14346))) )).
% 29.00/29.25 cnf(matrix-6354, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14347), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u14347), _u14348), _u14349)) = _u14349) )).
% 29.00/29.25 cnf(matrix-6355, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14350, tc_HOL_Obool)), hAPP(c_List_Oset(_u14350), _u14351)), hAPP(c_List_Oset(_u14350), hAPP(hAPP(c_List_Olist_OCons(_u14350), _u14352), _u14351)))) )).
% 29.00/29.25 cnf(matrix-6356, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14353), _u14354), _u14355) != hAPP(hAPP(c_List_Olist_OCons(_u14353), _u14356), _u14357)) | ( hAPP(hAPP(c_List_Onth(_u14353), _u14355), _u14354) = _u14356) )).
% 29.00/29.25 cnf(matrix-6357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14358), _u14359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14360, tc_HOL_Obool)), hAPP(c_List_Oset(_u14360), hAPP(hAPP(c_List_Odrop(_u14360), _u14359), _u14361))), hAPP(c_List_Oset(_u14360), hAPP(hAPP(c_List_Odrop(_u14360), _u14358), _u14361)))) )).
% 29.00/29.25 cnf(matrix-6358, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14362, tc_HOL_Obool)), hAPP(c_List_Oset(_u14362), hAPP(hAPP(c_List_Odrop(_u14362), _u14363), _u14364))), hAPP(c_List_Oset(_u14362), _u14364))) )).
% 29.00/29.25 cnf(matrix-6359, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14365), _u14366), hAPP(hAPP(c_List_Otake(_u14365), _u14367), _u14368)) = hAPP(hAPP(c_List_Otake(_u14365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14367), _u14366)), hAPP(hAPP(c_List_Odrop(_u14365), _u14366), _u14368))) )).
% 29.00/29.25 cnf(matrix-6360, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14369), hAPP(hAPP(c_List_Otake(_u14369), _u14370), _u14371)), hAPP(hAPP(c_List_Odrop(_u14369), _u14370), _u14371)) = _u14371) )).
% 29.00/29.25 cnf(matrix-6361, plain, ( hBOOL(hAPP(hAPP(c_member(_u14372), _u14373), hAPP(c_List_Oset(_u14372), _u14374))) | ~hBOOL(hAPP(hAPP(c_member(_u14372), _u14373), hAPP(c_List_Oset(_u14372), c_List_Osublist(_u14372, _u14374, _u14375)))) )).
% 29.00/29.25 cnf(matrix-6362, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14376), _u14377), hAPP(c_List_Oset(_u14376), c_List_Osublist(_u14376, _u14378, _u14379)))) | hBOOL(hAPP(hAPP(c_member(_u14376), _u14377), hAPP(c_List_Oset(_u14376), _u14378))) )).
% 29.00/29.25 cnf(matrix-6363, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14380, tc_HOL_Obool)), hAPP(c_List_Oset(_u14380), c_List_Osublist(_u14380, _u14381, _u14382))), hAPP(c_List_Oset(_u14380), _u14381))) )).
% 29.00/29.25 cnf(matrix-6364, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u14383), hAPP(c_List_Oset(_u14383), _u14384))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14383)), _u14384))) )).
% 29.00/29.25 cnf(matrix-6365, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14392)), _u14394))) | hBOOL(hAPP(_u14396, hAPP(hAPP(c_List_Onth(_u14392), _u14394), _u14386))) | hBOOL(hAPP(hAPP(c_member(_u14392), skolem335(_u14396, _u14394, _u14392)), hAPP(c_List_Oset(_u14392), _u14394))) )).
% 29.00/29.25 cnf(matrix-6366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14392)), _u14394))) | hBOOL(hAPP(_u14396, hAPP(hAPP(c_List_Onth(_u14392), _u14394), _u14386))) | ~hBOOL(hAPP(_u14396, skolem335(_u14396, _u14394, _u14392))) )).
% 29.00/29.25 cnf(matrix-6367, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14393), _u14388), hAPP(c_List_Oset(_u14393), _u14395))) | hBOOL(hAPP(_u14397, _u14388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem336(_u14397, _u14395, _u14393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14393)), _u14395))) )).
% 29.00/29.25 cnf(matrix-6368, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14393), _u14388), hAPP(c_List_Oset(_u14393), _u14395))) | hBOOL(hAPP(_u14397, _u14388)) | ~hBOOL(hAPP(_u14397, hAPP(hAPP(c_List_Onth(_u14393), _u14395), skolem336(_u14397, _u14395, _u14393)))) )).
% 29.00/29.25 cnf(matrix-6369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14398), _u14399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14400, tc_HOL_Obool)), hAPP(c_List_Oset(_u14400), hAPP(hAPP(c_List_Otake(_u14400), _u14398), _u14401))), hAPP(c_List_Oset(_u14400), hAPP(hAPP(c_List_Otake(_u14400), _u14399), _u14401)))) )).
% 29.00/29.25 cnf(matrix-6370, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14405), _u14407), _u14409) != c_List_Olist_ONil(_u14405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14405)), _u14409)), _u14407)) )).
% 29.00/29.25 cnf(matrix-6371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14406)), _u14410)), _u14408)) | ( hAPP(hAPP(c_List_Odrop(_u14406), _u14408), _u14410) = c_List_Olist_ONil(_u14406)) )).
% 29.00/29.25 cnf(matrix-6372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14411)), _u14412)), _u14413)) | ( hAPP(hAPP(c_List_Odrop(_u14411), _u14413), _u14412) = c_List_Olist_ONil(_u14411)) )).
% 29.00/29.25 cnf(matrix-6373, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14414), _u14415), hAPP(hAPP(c_List_Oappend(_u14414), _u14416), _u14417)) = hAPP(hAPP(c_List_Oappend(_u14414), hAPP(hAPP(c_List_Odrop(_u14414), _u14415), _u14416)), hAPP(hAPP(c_List_Odrop(_u14414), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14415), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14414)), _u14416))), _u14417))) )).
% 29.00/29.25 cnf(matrix-6374, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14422), _u14424), _u14426) != _u14428) | ( _u14424 = hAPP(hAPP(c_List_Otake(_u14422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14422)), _u14424)), _u14428)) )).
% 29.00/29.25 cnf(matrix-6375, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14422), _u14424), _u14426) != _u14428) | ( _u14426 = hAPP(hAPP(c_List_Odrop(_u14422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14422)), _u14424)), _u14428)) )).
% 29.00/29.25 cnf(matrix-6376, plain, ( ( _u14425 != hAPP(hAPP(c_List_Otake(_u14423), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14423)), _u14425)), _u14429)) | ( _u14427 != hAPP(hAPP(c_List_Odrop(_u14423), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14423)), _u14425)), _u14429)) | ( hAPP(hAPP(c_List_Oappend(_u14423), _u14425), _u14427) = _u14429) )).
% 29.00/29.25 cnf(matrix-6377, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14430), _u14431), hAPP(c_List_Oset(_u14430), _u14432))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14433), hAPP(_u14434, _u14431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14433), c_List_Olist_Olist__size(_u14430, _u14434, _u14432))) )).
% 29.00/29.25 cnf(matrix-6378, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14435), _u14436), hAPP(c_List_Oset(_u14435), _u14437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14438), hAPP(_u14439, _u14436))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14438), c_List_Olist_Olist__size(_u14435, _u14439, _u14437))) )).
% 29.00/29.25 cnf(matrix-6379, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14445)), _u14447), c_List_Olists(_u14445, _u14449))) | ~hBOOL(hAPP(hAPP(c_member(_u14445), _u14440), hAPP(c_List_Oset(_u14445), _u14447))) | hBOOL(hAPP(hAPP(c_member(_u14445), _u14440), _u14449)) )).
% 29.00/29.25 cnf(matrix-6380, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14446)), _u14448), c_List_Olists(_u14446, _u14450))) | hBOOL(hAPP(hAPP(c_member(_u14446), skolem337(_u14450, _u14448, _u14446)), hAPP(c_List_Oset(_u14446), _u14448))) )).
% 29.00/29.25 cnf(matrix-6381, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14446)), _u14448), c_List_Olists(_u14446, _u14450))) | ~hBOOL(hAPP(hAPP(c_member(_u14446), skolem337(_u14450, _u14448, _u14446)), _u14450)) )).
% 29.00/29.25 cnf(matrix-6382, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14451), _u14452), hAPP(c_List_Oset(_u14451), _u14453))) | 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(_u14451)), _u14453))) )).
% 29.00/29.25 cnf(matrix-6383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14454), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14455)), _u14456))) | hBOOL(hAPP(hAPP(c_member(_u14455), hAPP(hAPP(c_List_Onth(_u14455), _u14456), _u14454)), hAPP(c_List_Oset(_u14455), _u14456))) )).
% 29.00/29.25 cnf(matrix-6384, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14462), _u14464), hAPP(c_List_Oset(_u14462), _u14466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem338(_u14466, _u14464, _u14462)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14462)), _u14466))) )).
% 29.00/29.25 cnf(matrix-6385, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14462), _u14464), hAPP(c_List_Oset(_u14462), _u14466))) | ( hAPP(hAPP(c_List_Onth(_u14462), _u14466), skolem338(_u14466, _u14464, _u14462)) = _u14464) )).
% 29.00/29.25 cnf(matrix-6386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14458), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14463)), _u14467))) | ( hAPP(hAPP(c_List_Onth(_u14463), _u14467), _u14458) != _u14465) | hBOOL(hAPP(hAPP(c_member(_u14463), _u14465), hAPP(c_List_Oset(_u14463), _u14467))) )).
% 29.00/29.25 cnf(matrix-6387, plain, ( ( c_List_Olists(_u14468, _u14469) = hAPP(c_Set_OCollect(tc_List_Olist(_u14468)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14468), tc_fun(_u14468, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14468, tc_HOL_Obool), tc_fun(tc_fun(_u14468, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14468)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14468, tc_HOL_Obool))), c_List_Oset(_u14468))), _u14469))) )).
% 29.00/29.25 cnf(matrix-6388, plain, ( ( _u14474 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u14476), _u14474), hAPP(hAPP(c_List_Olist_OCons(_u14476), _u14478), _u14480)) = hAPP(hAPP(c_List_Olist_OCons(_u14476), _u14478), _u14480)) )).
% 29.00/29.25 cnf(matrix-6389, plain, ( ( _u14475 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u14477), _u14475), hAPP(hAPP(c_List_Olist_OCons(_u14477), _u14479), _u14481)) = hAPP(hAPP(c_List_Odrop(_u14477), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14475), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u14481)) )).
% 29.00/29.25 cnf(matrix-6390, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14482), _u14483)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14484)), _u14485))) | ( hAPP(hAPP(c_List_Onth(_u14484), hAPP(hAPP(c_List_Odrop(_u14484), _u14482), _u14485)), _u14483) = hAPP(hAPP(c_List_Onth(_u14484), _u14485), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14482), _u14483))) )).
% 29.00/29.25 cnf(matrix-6391, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14491), _u14493), _u14495) != hAPP(hAPP(c_List_Oappend(_u14491), _u14497), _u14499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497))) | ( _u14493 = hAPP(hAPP(c_List_Otake(_u14491), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), _u14497)) )).
% 29.00/29.25 cnf(matrix-6392, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14491), _u14493), _u14495) != hAPP(hAPP(c_List_Oappend(_u14491), _u14497), _u14499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497))) | ( _u14495 = hAPP(hAPP(c_List_Oappend(_u14491), hAPP(hAPP(c_List_Odrop(_u14491), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), _u14497)), _u14499)) )).
% 29.00/29.25 cnf(matrix-6393, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14491), _u14493), _u14495) != hAPP(hAPP(c_List_Oappend(_u14491), _u14497), _u14499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497))) | ( hAPP(hAPP(c_List_Otake(_u14491), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497)), _u14493) = _u14497) )).
% 29.00/29.25 cnf(matrix-6394, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14491), _u14493), _u14495) != hAPP(hAPP(c_List_Oappend(_u14491), _u14497), _u14499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497))) | ( hAPP(hAPP(c_List_Oappend(_u14491), hAPP(hAPP(c_List_Odrop(_u14491), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14491)), _u14497)), _u14493)), _u14495) = _u14499) )).
% 29.00/29.25 cnf(matrix-6395, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14492), _u14494), _u14496) = hAPP(hAPP(c_List_Oappend(_u14492), _u14498), _u14500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498))) | ( hAPP(hAPP(c_List_Otake(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498)), _u14494) != _u14498) | ( hAPP(hAPP(c_List_Oappend(_u14492), hAPP(hAPP(c_List_Odrop(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498)), _u14494)), _u14496) != _u14500) )).
% 29.00/29.25 cnf(matrix-6396, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14492), _u14494), _u14496) = hAPP(hAPP(c_List_Oappend(_u14492), _u14498), _u14500)) | ( _u14494 != hAPP(hAPP(c_List_Otake(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), _u14498)) | ( _u14496 != hAPP(hAPP(c_List_Oappend(_u14492), hAPP(hAPP(c_List_Odrop(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), _u14498)), _u14500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498))) )).
% 29.00/29.25 cnf(matrix-6397, plain, ( ( hAPP(hAPP(c_List_Oappend(_u14492), _u14494), _u14496) = hAPP(hAPP(c_List_Oappend(_u14492), _u14498), _u14500)) | ( _u14494 != hAPP(hAPP(c_List_Otake(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), _u14498)) | ( _u14496 != hAPP(hAPP(c_List_Oappend(_u14492), hAPP(hAPP(c_List_Odrop(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14494)), _u14498)), _u14500)) | ( hAPP(hAPP(c_List_Otake(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498)), _u14494) != _u14498) | ( hAPP(hAPP(c_List_Oappend(_u14492), hAPP(hAPP(c_List_Odrop(_u14492), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14492)), _u14498)), _u14494)), _u14496) != _u14500) )).
% 29.00/29.25 cnf(matrix-6398, plain, ( ( hAPP(c_List_Oset(_u14501), _u14502) = hAPP(c_Set_OCollect(_u14501), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u14501), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u14501, 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)), _u14501), 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)), _u14501), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u14501, tc_fun(tc_Nat_Onat, _u14501), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14501, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u14501), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u14501), c_COMBB(_u14501, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u14501), _u14502))))), 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(_u14501)), _u14502)))))) )).
% 29.00/29.25 cnf(matrix-6399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14503), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14504)), _u14505))) | ( hAPP(hAPP(c_List_Olist_OCons(_u14504), hAPP(hAPP(c_List_Onth(_u14504), _u14505), _u14503)), hAPP(hAPP(c_List_Odrop(_u14504), hAPP(c_Nat_OSuc, _u14503)), _u14505)) = hAPP(hAPP(c_List_Odrop(_u14504), _u14503), _u14505)) )).
% 29.00/29.25 cnf(matrix-6400, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14510) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u14512), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14510)), hAPP(hAPP(c_List_Olist_OCons(_u14512), _u14514), _u14516)) = hAPP(hAPP(c_List_Olist_OCons(_u14512), _u14514), _u14516)) )).
% 29.00/29.25 cnf(matrix-6401, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14511) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u14513), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14511)), hAPP(hAPP(c_List_Olist_OCons(_u14513), _u14515), _u14517)) = hAPP(hAPP(c_List_Odrop(_u14513), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u14511)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u14517)) )).
% 29.00/29.25 cnf(matrix-6402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14518), _u14519)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14520)), _u14521))) | ( hAPP(hAPP(c_List_Otake(_u14520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14518), _u14519)), _u14521) = hAPP(hAPP(c_List_Oappend(_u14520), hAPP(hAPP(c_List_Otake(_u14520), _u14518), _u14521)), hAPP(hAPP(c_List_Otake(_u14520), _u14519), hAPP(hAPP(c_List_Odrop(_u14520), _u14518), _u14521)))) )).
% 29.00/29.25 cnf(matrix-6403, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14522), _u14523)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14522)), hAPP(c_Set_OCollect(tc_List_Olist(_u14522)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14522), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14522)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14522), tc_fun(_u14522, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14522, tc_HOL_Obool), tc_fun(tc_fun(_u14522, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14522)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14522, tc_HOL_Obool))), c_List_Oset(_u14522))), _u14523))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14522), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14522)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14522)))), _u14524))))) )).
% 29.00/29.25 cnf(matrix-6404, plain, ( ( hAPP(c_List_Oset(_u14525), c_List_Osublist(_u14525, _u14526, _u14527)) = hAPP(c_Set_OCollect(_u14525), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u14525), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u14525, 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)), _u14525), 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)), _u14525), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u14525, tc_fun(tc_Nat_Onat, _u14525), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14525, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u14525), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u14525), c_COMBB(_u14525, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u14525), _u14526))))), 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(_u14525)), _u14526)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14527)))))) )).
% 29.00/29.25 cnf(matrix-6405, plain, ( ( _u14528 = c_List_Olist_ONil(_u14529)) | hBOOL(hAPP(hAPP(c_member(_u14529), hAPP(c_Product__Type_Ofst(_u14529, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u14529, _u14528), _u14530))), hAPP(c_List_Oset(_u14529), _u14528))) )).
% 29.00/29.25 cnf(matrix-6406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14532)), _u14533))) | ( hAPP(hAPP(c_List_Oappend(_u14532), hAPP(hAPP(c_List_Otake(_u14532), _u14531), _u14533)), hAPP(hAPP(c_List_Olist_OCons(_u14532), hAPP(c_List_Ohd(_u14532), hAPP(hAPP(c_List_Odrop(_u14532), _u14531), _u14533))), c_List_Olist_ONil(_u14532))) = hAPP(hAPP(c_List_Otake(_u14532), hAPP(c_Nat_OSuc, _u14531)), _u14533)) )).
% 29.00/29.25 cnf(matrix-6407, plain, ( ( hAPP(c_List_Ohd(_u14534), hAPP(hAPP(c_List_Olist_OCons(_u14534), _u14535), _u14536)) = _u14535) )).
% 29.00/29.25 cnf(matrix-6408, plain, ( ( _u14537 = c_List_Olist_ONil(_u14538)) | ( hAPP(c_List_Ohd(_u14538), hAPP(hAPP(c_List_Oappend(_u14538), _u14537), _u14539)) = hAPP(c_List_Ohd(_u14538), _u14537)) )).
% 29.00/29.25 cnf(matrix-6409, plain, ( ( _u14543 != c_List_Olist_ONil(_u14545)) | ( hAPP(c_List_Ohd(_u14545), hAPP(hAPP(c_List_Oappend(_u14545), _u14543), _u14547)) = hAPP(c_List_Ohd(_u14545), _u14547)) )).
% 29.00/29.25 cnf(matrix-6410, plain, ( ( _u14544 = c_List_Olist_ONil(_u14546)) | ( hAPP(c_List_Ohd(_u14546), hAPP(hAPP(c_List_Oappend(_u14546), _u14544), _u14548)) = hAPP(c_List_Ohd(_u14546), _u14544)) )).
% 29.00/29.25 cnf(matrix-6411, plain, ( ( _u14549 = c_List_Olist_ONil(_u14550)) | hBOOL(hAPP(hAPP(c_member(_u14550), hAPP(c_List_Ohd(_u14550), _u14549)), hAPP(c_List_Oset(_u14550), _u14549))) )).
% 29.00/29.25 cnf(matrix-6412, plain, ( ( _u14551 = c_List_Olist_ONil(_u14552)) | ( hAPP(c_List_Ohd(_u14552), _u14551) = hAPP(hAPP(c_List_Onth(_u14552), _u14551), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.25 cnf(matrix-6413, plain, ( ( _u14553 = c_List_Olist_ONil(_u14554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14555), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14554)), _u14553))) | ( hAPP(c_List_Ohd(_u14554), hAPP(hAPP(c_List_Odrop(_u14554), _u14555), _u14553)) = hAPP(hAPP(c_List_Onth(_u14554), _u14553), _u14555)) )).
% 29.00/29.25 cnf(matrix-6414, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14556), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14557)), _u14558))) | ( hAPP(hAPP(c_List_Olist__update(_u14557, _u14558), _u14556), _u14559) = hAPP(hAPP(c_List_Oappend(_u14557), hAPP(hAPP(c_List_Otake(_u14557), _u14556), _u14558)), hAPP(hAPP(c_List_Olist_OCons(_u14557), _u14559), hAPP(hAPP(c_List_Odrop(_u14557), hAPP(c_Nat_OSuc, _u14556)), _u14558)))) )).
% 29.00/29.25 cnf(matrix-6415, plain, ( ( hAPP(c_List_Oset(tc_prod(_u14560, _u14561)), hAPP(hAPP(c_List_Ozip(_u14560, _u14561), _u14562), _u14563)) = hAPP(c_Set_OCollect(tc_prod(_u14560, _u14561)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14560, _u14561)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u14560, _u14561), 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(_u14560, _u14561)), 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(_u14560, _u14561)), 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(_u14560, _u14561), tc_fun(tc_Nat_Onat, tc_prod(_u14560, _u14561)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14560, _u14561), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u14560, _u14561)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u14560, _u14561)), c_COMBB(tc_prod(_u14560, _u14561), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u14561, tc_prod(_u14560, _u14561)), hAPP(hAPP(c_COMBB(_u14560, tc_fun(_u14561, tc_prod(_u14560, _u14561)), tc_Nat_Onat), c_Product__Type_OPair(_u14560, _u14561)), hAPP(c_List_Onth(_u14560), _u14562))), hAPP(c_List_Onth(_u14561), _u14563)))))), 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(_u14560)), _u14562)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14561)), _u14563))))))) )).
% 29.00/29.25 cnf(matrix-6416, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u14564, _u14565), hAPP(hAPP(c_List_Ozip(_u14564, _u14565), _u14566), _u14567)), _u14568), _u14569) = hAPP(hAPP(c_List_Ozip(_u14564, _u14565), hAPP(hAPP(c_List_Olist__update(_u14564, _u14566), _u14568), hAPP(c_Product__Type_Ofst(_u14564, _u14565), _u14569))), hAPP(hAPP(c_List_Olist__update(_u14565, _u14567), _u14568), hAPP(c_Product__Type_Osnd(_u14564, _u14565), _u14569)))) )).
% 29.00/29.25 cnf(matrix-6417, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14570, hAPP(hAPP(c_List_Olist_OCons(_u14570), _u14571), _u14572)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14573) = hAPP(hAPP(c_List_Olist_OCons(_u14570), _u14573), _u14572)) )).
% 29.00/29.25 cnf(matrix-6418, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14574, hAPP(hAPP(c_List_Olist_OCons(_u14574), _u14575), _u14576)), hAPP(c_Nat_OSuc, _u14577)), _u14578) = hAPP(hAPP(c_List_Olist_OCons(_u14574), _u14575), hAPP(hAPP(c_List_Olist__update(_u14574, _u14576), _u14577), _u14578))) )).
% 29.00/29.25 cnf(matrix-6419, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u14579, _u14580)), _u14581), hAPP(hAPP(c_List_Ozip(_u14579, _u14580), _u14582), _u14583)) = hAPP(hAPP(c_List_Ozip(_u14579, _u14580), hAPP(hAPP(c_List_Otake(_u14579), _u14581), _u14582)), hAPP(hAPP(c_List_Otake(_u14580), _u14581), _u14583))) )).
% 29.00/29.25 cnf(matrix-6420, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u14584, _u14585))), hAPP(hAPP(c_List_Ozip(_u14584, _u14585), _u14586), _u14587)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14584)), _u14586)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14585)), _u14587))) )).
% 29.00/29.25 cnf(matrix-6421, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14588, _u14589), hAPP(hAPP(c_List_Olist__update(_u14588, _u14590), _u14591), _u14592)), hAPP(hAPP(c_List_Olist__update(_u14589, _u14593), _u14591), _u14594)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u14588, _u14589), hAPP(hAPP(c_List_Ozip(_u14588, _u14589), _u14590), _u14593)), _u14591), hAPP(hAPP(c_Product__Type_OPair(_u14588, _u14589), _u14592), _u14594))) )).
% 29.00/29.25 cnf(matrix-6422, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14595, c_List_Olist_ONil(_u14595)), _u14596), _u14597) = c_List_Olist_ONil(_u14595)) )).
% 29.00/29.25 cnf(matrix-6423, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14598, c_List_Olist_ONil(_u14598)), _u14599), _u14600) = c_List_Olist_ONil(_u14598)) )).
% 29.00/29.25 cnf(matrix-6424, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14605, _u14607), _u14609), _u14611) != c_List_Olist_ONil(_u14605)) | ( _u14607 = c_List_Olist_ONil(_u14605)) )).
% 29.00/29.25 cnf(matrix-6425, plain, ( ( _u14608 != c_List_Olist_ONil(_u14606)) | ( hAPP(hAPP(c_List_Olist__update(_u14606, _u14608), _u14610), _u14612) = c_List_Olist_ONil(_u14606)) )).
% 29.00/29.25 cnf(matrix-6426, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14613, _u14614), _u14615), c_List_Olist_ONil(_u14614)) = c_List_Olist_ONil(tc_prod(_u14613, _u14614))) )).
% 29.00/29.25 cnf(matrix-6427, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14616, _u14617), c_List_Olist_ONil(_u14616)), _u14618) = c_List_Olist_ONil(tc_prod(_u14616, _u14617))) )).
% 29.00/29.25 cnf(matrix-6428, plain, ( ( _u14619 = _u14620) | ( hAPP(hAPP(c_List_Olist__update(_u14621, hAPP(hAPP(c_List_Olist__update(_u14621, _u14622), _u14619), _u14623)), _u14620), _u14624) = hAPP(hAPP(c_List_Olist__update(_u14621, hAPP(hAPP(c_List_Olist__update(_u14621, _u14622), _u14620), _u14624)), _u14619), _u14623)) )).
% 29.00/29.25 cnf(matrix-6429, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14625, hAPP(hAPP(c_List_Olist__update(_u14625, _u14626), _u14627), _u14628)), _u14627), _u14629) = hAPP(hAPP(c_List_Olist__update(_u14625, _u14626), _u14627), _u14629)) )).
% 29.00/29.25 cnf(matrix-6430, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14630)), hAPP(hAPP(c_List_Olist__update(_u14630, _u14631), _u14632), _u14633)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14630)), _u14631)) )).
% 29.00/29.25 cnf(matrix-6431, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14634)), _u14635) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14636)), _u14637)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14634)), _u14638) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14636)), _u14639)) | ( hAPP(hAPP(c_List_Ozip(_u14634, _u14636), hAPP(hAPP(c_List_Oappend(_u14634), _u14635), _u14638)), hAPP(hAPP(c_List_Oappend(_u14636), _u14637), _u14639)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u14634, _u14636)), hAPP(hAPP(c_List_Ozip(_u14634, _u14636), _u14635), _u14637)), hAPP(hAPP(c_List_Ozip(_u14634, _u14636), _u14638), _u14639))) )).
% 29.00/29.25 cnf(matrix-6432, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14640, _u14641), _u14642), hAPP(hAPP(c_List_Onth(_u14640), _u14641), _u14642)) = _u14641) )).
% 29.00/29.25 cnf(matrix-6433, plain, ( ( _u14643 = _u14644) | ( hAPP(hAPP(c_List_Onth(_u14645), hAPP(hAPP(c_List_Olist__update(_u14645, _u14646), _u14643), _u14647)), _u14644) = hAPP(hAPP(c_List_Onth(_u14645), _u14646), _u14644)) )).
% 29.00/29.25 cnf(matrix-6434, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u14648, _u14649)), _u14650), hAPP(hAPP(c_List_Ozip(_u14648, _u14649), _u14651), _u14652)) = hAPP(hAPP(c_List_Ozip(_u14648, _u14649), hAPP(hAPP(c_List_Odrop(_u14648), _u14650), _u14651)), hAPP(hAPP(c_List_Odrop(_u14649), _u14650), _u14652))) )).
% 29.00/29.25 cnf(matrix-6435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14653)), _u14654)), _u14655)) | ( hAPP(hAPP(c_List_Olist__update(_u14653, _u14654), _u14655), _u14656) = _u14654) )).
% 29.00/29.25 cnf(matrix-6436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14657, tc_HOL_Obool)), hAPP(c_List_Oset(_u14657), _u14658)), _u14659)) | ~hBOOL(hAPP(hAPP(c_member(_u14657), _u14660), _u14659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14657, tc_HOL_Obool)), hAPP(c_List_Oset(_u14657), hAPP(hAPP(c_List_Olist__update(_u14657, _u14658), _u14661), _u14660))), _u14659)) )).
% 29.00/29.25 cnf(matrix-6437, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14662, tc_HOL_Obool)), hAPP(c_List_Oset(_u14662), hAPP(hAPP(c_List_Olist__update(_u14662, _u14663), _u14664), _u14665))), hAPP(hAPP(c_Set_Oinsert(_u14662), _u14665), hAPP(c_List_Oset(_u14662), _u14663)))) )).
% 29.00/29.25 cnf(matrix-6438, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14666, _u14667), hAPP(hAPP(c_List_Olist_OCons(_u14666), _u14668), _u14669)), hAPP(hAPP(c_List_Olist_OCons(_u14667), _u14670), _u14671)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14666, _u14667)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14667), _u14668), _u14670)), hAPP(hAPP(c_List_Ozip(_u14666, _u14667), _u14669), _u14671))) )).
% 29.00/29.25 cnf(matrix-6439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14672), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14673)), _u14674))) | ( hAPP(hAPP(c_List_Olist__update(_u14673, hAPP(hAPP(c_List_Oappend(_u14673), _u14674), _u14675)), _u14672), _u14676) = hAPP(hAPP(c_List_Oappend(_u14673), hAPP(hAPP(c_List_Olist__update(_u14673, _u14674), _u14672), _u14676)), _u14675)) )).
% 29.00/29.25 cnf(matrix-6440, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14677, hAPP(hAPP(c_List_Oappend(_u14677), _u14678), hAPP(hAPP(c_List_Olist_OCons(_u14677), _u14679), _u14680))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14677)), _u14678)), _u14681) = hAPP(hAPP(c_List_Oappend(_u14677), _u14678), hAPP(hAPP(c_List_Olist_OCons(_u14677), _u14681), _u14680))) )).
% 29.00/29.25 cnf(matrix-6441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14682), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14683)), _u14684))) | ( hAPP(hAPP(c_List_Onth(_u14683), hAPP(hAPP(c_List_Olist__update(_u14683, _u14684), _u14682), _u14685)), _u14682) = _u14685) )).
% 29.00/29.25 cnf(matrix-6442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14686), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14687)), _u14688))) | ( hAPP(hAPP(c_List_Olist__update(_u14687, _u14688), _u14686), _u14689) != _u14688) | ( hAPP(hAPP(c_List_Onth(_u14687), _u14688), _u14686) = _u14689) )).
% 29.00/29.25 cnf(matrix-6443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14686), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14687)), _u14688))) | ( hAPP(hAPP(c_List_Onth(_u14687), _u14688), _u14686) != _u14689) | ( hAPP(hAPP(c_List_Olist__update(_u14687, _u14688), _u14686), _u14689) = _u14688) )).
% 29.00/29.25 cnf(matrix-6444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14690), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14691)), _u14692))) | ( _u14690 != _u14693) | ( hAPP(hAPP(c_List_Onth(_u14691), hAPP(hAPP(c_List_Olist__update(_u14691, _u14692), _u14690), _u14694)), _u14693) = _u14694) )).
% 29.00/29.25 cnf(matrix-6445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14690), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14691)), _u14692))) | ( _u14690 = _u14693) | ( hAPP(hAPP(c_List_Onth(_u14691), hAPP(hAPP(c_List_Olist__update(_u14691, _u14692), _u14690), _u14694)), _u14693) = hAPP(hAPP(c_List_Onth(_u14691), _u14692), _u14693)) )).
% 29.00/29.25 cnf(matrix-6446, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u14695, hAPP(hAPP(c_List_Olist_OCons(_u14695), _u14696), _u14697)), _u14698), _u14699) = c_Nat_Onat_Onat__case(tc_List_Olist(_u14695), hAPP(hAPP(c_List_Olist_OCons(_u14695), _u14699), _u14697), hAPP(hAPP(c_COMBB(tc_List_Olist(_u14695), tc_List_Olist(_u14695), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u14695), _u14696)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u14695, tc_List_Olist(_u14695)), c_List_Olist__update(_u14695, _u14697)), _u14699)), _u14698)) )).
% 29.00/29.25 cnf(matrix-6447, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14700, _u14701)), hAPP(hAPP(c_Product__Type_OPair(_u14700, _u14701), _u14702), _u14703)), hAPP(c_List_Oset(tc_prod(_u14700, _u14701)), hAPP(hAPP(c_List_Ozip(_u14700, _u14701), _u14704), _u14705)))) | hBOOL(hAPP(hAPP(c_member(_u14700), _u14702), hAPP(c_List_Oset(_u14700), _u14704))) )).
% 29.00/29.25 cnf(matrix-6448, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14700, _u14701)), hAPP(hAPP(c_Product__Type_OPair(_u14700, _u14701), _u14702), _u14703)), hAPP(c_List_Oset(tc_prod(_u14700, _u14701)), hAPP(hAPP(c_List_Ozip(_u14700, _u14701), _u14704), _u14705)))) | hBOOL(hAPP(hAPP(c_member(_u14701), _u14703), hAPP(c_List_Oset(_u14701), _u14705))) )).
% 29.00/29.25 cnf(matrix-6449, plain, ( hBOOL(hAPP(hAPP(c_member(_u14707), _u14709), hAPP(c_List_Oset(_u14707), _u14711))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14706, _u14707)), hAPP(hAPP(c_Product__Type_OPair(_u14706, _u14707), _u14708), _u14709)), hAPP(c_List_Oset(tc_prod(_u14706, _u14707)), hAPP(hAPP(c_List_Ozip(_u14706, _u14707), _u14710), _u14711)))) )).
% 29.00/29.25 cnf(matrix-6450, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14712, _u14713)), hAPP(hAPP(c_Product__Type_OPair(_u14712, _u14713), _u14714), _u14715)), hAPP(c_List_Oset(tc_prod(_u14712, _u14713)), hAPP(hAPP(c_List_Ozip(_u14712, _u14713), _u14716), _u14717)))) | hBOOL(hAPP(hAPP(c_member(_u14712), _u14714), hAPP(c_List_Oset(_u14712), _u14716))) )).
% 29.00/29.25 cnf(matrix-6451, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14722, _u14722)), hAPP(hAPP(c_Product__Type_OPair(_u14722, _u14722), _u14724), _u14726)), hAPP(c_List_Oset(tc_prod(_u14722, _u14722)), hAPP(hAPP(c_List_Ozip(_u14722, _u14722), _u14728), _u14728)))) | hBOOL(hAPP(hAPP(c_member(_u14722), _u14724), hAPP(c_List_Oset(_u14722), _u14728))) )).
% 29.00/29.25 cnf(matrix-6452, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14722, _u14722)), hAPP(hAPP(c_Product__Type_OPair(_u14722, _u14722), _u14724), _u14726)), hAPP(c_List_Oset(tc_prod(_u14722, _u14722)), hAPP(hAPP(c_List_Ozip(_u14722, _u14722), _u14728), _u14728)))) | ( _u14724 = _u14726) )).
% 29.00/29.25 cnf(matrix-6453, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14723), _u14725), hAPP(c_List_Oset(_u14723), _u14729))) | ( _u14725 != _u14727) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14723, _u14723)), hAPP(hAPP(c_Product__Type_OPair(_u14723, _u14723), _u14725), _u14727)), hAPP(c_List_Oset(tc_prod(_u14723, _u14723)), hAPP(hAPP(c_List_Ozip(_u14723, _u14723), _u14729), _u14729)))) )).
% 29.00/29.25 cnf(matrix-6454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14730), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14731)), _u14732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14730), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14733)), _u14734))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u14731, _u14733)), hAPP(hAPP(c_List_Ozip(_u14731, _u14733), _u14732), _u14734)), _u14730) = hAPP(hAPP(c_Product__Type_OPair(_u14731, _u14733), hAPP(hAPP(c_List_Onth(_u14731), _u14732), _u14730)), hAPP(hAPP(c_List_Onth(_u14733), _u14734), _u14730))) )).
% 29.00/29.25 cnf(matrix-6455, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14735, _u14736), _u14737), hAPP(hAPP(c_List_Oappend(_u14736), _u14738), _u14739)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u14735, _u14736)), hAPP(hAPP(c_List_Ozip(_u14735, _u14736), hAPP(hAPP(c_List_Otake(_u14735), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14736)), _u14738)), _u14737)), _u14738)), hAPP(hAPP(c_List_Ozip(_u14735, _u14736), hAPP(hAPP(c_List_Odrop(_u14735), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14736)), _u14738)), _u14737)), _u14739))) )).
% 29.00/29.25 cnf(matrix-6456, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14740, _u14741), hAPP(hAPP(c_List_Oappend(_u14740), _u14742), _u14743)), _u14744) = hAPP(hAPP(c_List_Oappend(tc_prod(_u14740, _u14741)), hAPP(hAPP(c_List_Ozip(_u14740, _u14741), _u14742), hAPP(hAPP(c_List_Otake(_u14741), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14740)), _u14742)), _u14744))), hAPP(hAPP(c_List_Ozip(_u14740, _u14741), _u14743), hAPP(hAPP(c_List_Odrop(_u14741), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14740)), _u14742)), _u14744)))) )).
% 29.00/29.25 cnf(matrix-6457, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14745), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14746)), _u14747))) | hBOOL(hAPP(hAPP(c_member(_u14746), _u14748), hAPP(c_List_Oset(_u14746), hAPP(hAPP(c_List_Olist__update(_u14746, _u14747), _u14745), _u14748)))) )).
% 29.00/29.25 cnf(matrix-6458, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14754), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14756)), _u14758))) | ( hAPP(hAPP(c_List_Olist__update(_u14756, hAPP(hAPP(c_List_Oappend(_u14756), _u14758), _u14760)), _u14754), _u14762) = hAPP(hAPP(c_List_Oappend(_u14756), hAPP(hAPP(c_List_Olist__update(_u14756, _u14758), _u14754), _u14762)), _u14760)) )).
% 29.00/29.25 cnf(matrix-6459, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14757)), _u14759))) | ( hAPP(hAPP(c_List_Olist__update(_u14757, hAPP(hAPP(c_List_Oappend(_u14757), _u14759), _u14761)), _u14755), _u14763) = hAPP(hAPP(c_List_Oappend(_u14757), _u14759), hAPP(hAPP(c_List_Olist__update(_u14757, _u14761), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14757)), _u14759))), _u14763))) )).
% 29.00/29.25 cnf(matrix-6460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14772), tc_List_Olist(_u14772))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14772), tc_List_Olist(_u14772)), _u14774), _u14776)), c_List_Olistrel1(_u14772, _u14778))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14772, _u14772)), hAPP(hAPP(c_Product__Type_OPair(_u14772, _u14772), hAPP(hAPP(c_List_Onth(_u14772), _u14774), skolem340(_u14778, _u14776, _u14774, _u14772))), skolem339(_u14778, _u14776, _u14774, _u14772))), _u14778)) )).
% 29.00/29.25 cnf(matrix-6461, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14772), tc_List_Olist(_u14772))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14772), tc_List_Olist(_u14772)), _u14774), _u14776)), c_List_Olistrel1(_u14772, _u14778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem340(_u14778, _u14776, _u14774, _u14772)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14772)), _u14774))) )).
% 29.00/29.25 cnf(matrix-6462, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14772), tc_List_Olist(_u14772))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14772), tc_List_Olist(_u14772)), _u14774), _u14776)), c_List_Olistrel1(_u14772, _u14778))) | ( _u14776 = hAPP(hAPP(c_List_Olist__update(_u14772, _u14774), skolem340(_u14778, _u14776, _u14774, _u14772)), skolem339(_u14778, _u14776, _u14774, _u14772))) )).
% 29.00/29.25 cnf(matrix-6463, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14773, _u14773)), hAPP(hAPP(c_Product__Type_OPair(_u14773, _u14773), hAPP(hAPP(c_List_Onth(_u14773), _u14775), _u14766)), _u14767)), _u14779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14766), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14773)), _u14775))) | ( _u14777 != hAPP(hAPP(c_List_Olist__update(_u14773, _u14775), _u14766), _u14767)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14773), tc_List_Olist(_u14773))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14773), tc_List_Olist(_u14773)), _u14775), _u14777)), c_List_Olistrel1(_u14773, _u14779))) )).
% 29.00/29.25 cnf(matrix-6464, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14786), tc_List_Olist(_u14786))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14786), tc_List_Olist(_u14786)), _u14788), _u14790)), c_List_Olistrel(_u14786, _u14792))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14786)), _u14788) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14786)), _u14790)) )).
% 29.00/29.25 cnf(matrix-6465, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14786), tc_List_Olist(_u14786))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14786), tc_List_Olist(_u14786)), _u14788), _u14790)), c_List_Olistrel(_u14786, _u14792))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14786, _u14786)), _u14780), hAPP(c_List_Oset(tc_prod(_u14786, _u14786)), hAPP(hAPP(c_List_Ozip(_u14786, _u14786), _u14788), _u14790)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14786, _u14786, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14786, tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_fun(_u14786, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14786, tc_fun(tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_fun(_u14786, tc_HOL_Obool)), _u14786), c_COMBC(_u14786, tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14786, tc_prod(_u14786, _u14786)), tc_fun(_u14786, tc_fun(tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_HOL_Obool)), _u14786), hAPP(c_COMBB(tc_prod(_u14786, _u14786), tc_fun(tc_fun(tc_prod(_u14786, _u14786), tc_HOL_Obool), tc_HOL_Obool), _u14786), c_member(tc_prod(_u14786, _u14786)))), c_Product__Type_OPair(_u14786, _u14786)))), _u14792)), _u14780)) )).
% 29.00/29.25 cnf(matrix-6466, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14787), tc_List_Olist(_u14787))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14787), tc_List_Olist(_u14787)), _u14789), _u14791)), c_List_Olistrel(_u14787, _u14793))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14787)), _u14789) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14787)), _u14791)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14787, _u14787)), skolem341(_u14793, _u14791, _u14789, _u14787)), hAPP(c_List_Oset(tc_prod(_u14787, _u14787)), hAPP(hAPP(c_List_Ozip(_u14787, _u14787), _u14789), _u14791)))) )).
% 29.00/29.25 cnf(matrix-6467, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14787), tc_List_Olist(_u14787))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14787), tc_List_Olist(_u14787)), _u14789), _u14791)), c_List_Olistrel(_u14787, _u14793))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14787)), _u14789) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14787)), _u14791)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14787, _u14787, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14787, tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_fun(_u14787, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_fun(tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_fun(_u14787, tc_HOL_Obool)), _u14787), c_COMBC(_u14787, tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14787, tc_prod(_u14787, _u14787)), tc_fun(_u14787, tc_fun(tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_HOL_Obool)), _u14787), hAPP(c_COMBB(tc_prod(_u14787, _u14787), tc_fun(tc_fun(tc_prod(_u14787, _u14787), tc_HOL_Obool), tc_HOL_Obool), _u14787), c_member(tc_prod(_u14787, _u14787)))), c_Product__Type_OPair(_u14787, _u14787)))), _u14793)), skolem341(_u14793, _u14791, _u14789, _u14787))) )).
% 29.00/29.25 cnf(matrix-6468, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14795), _u14794), c_Orderings_Obot__class_Obot(tc_fun(_u14795, tc_HOL_Obool)))) | hBOOL(hAPP(_u14796, _u14794)) )).
% 29.00/29.25 cnf(matrix-6469, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u14802, _u14804), _u14806)) | ~hBOOL(hAPP(hAPP(c_member(_u14802), _u14797), _u14806)) | hBOOL(hAPP(_u14804, _u14797)) )).
% 29.00/29.25 cnf(matrix-6470, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u14803, _u14805), _u14807)) | hBOOL(hAPP(hAPP(c_member(_u14803), skolem342(_u14807, _u14805, _u14803)), _u14807)) )).
% 29.00/29.25 cnf(matrix-6471, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u14803, _u14805), _u14807)) | ~hBOOL(hAPP(_u14805, skolem342(_u14807, _u14805, _u14803))) )).
% 29.00/29.25 cnf(matrix-6472, plain, ( ~c_Equiv__Relations_Ocongruent(_u14814, _u14816, _u14818, _u14820) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14814, _u14814)), _u14808), _u14818)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14814, _u14814, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14814, tc_fun(_u14814, _u14816), tc_fun(_u14814, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14816, tc_HOL_Obool), tc_fun(tc_fun(_u14814, _u14816), tc_fun(_u14814, tc_HOL_Obool)), _u14814), c_COMBB(_u14816, tc_HOL_Obool, _u14814)), hAPP(hAPP(c_COMBB(_u14816, tc_fun(_u14816, tc_HOL_Obool), _u14814), c_fequal), _u14820))), _u14820)), _u14808)) )).
% 29.00/29.25 cnf(matrix-6473, plain, ( c_Equiv__Relations_Ocongruent(_u14815, _u14817, _u14819, _u14821) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14815, _u14815)), skolem343(_u14821, _u14819, _u14817, _u14815)), _u14819)) )).
% 29.00/29.25 cnf(matrix-6474, plain, ( c_Equiv__Relations_Ocongruent(_u14815, _u14817, _u14819, _u14821) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14815, _u14815, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14815, tc_fun(_u14815, _u14817), tc_fun(_u14815, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14817, tc_HOL_Obool), tc_fun(tc_fun(_u14815, _u14817), tc_fun(_u14815, tc_HOL_Obool)), _u14815), c_COMBB(_u14817, tc_HOL_Obool, _u14815)), hAPP(hAPP(c_COMBB(_u14817, tc_fun(_u14817, tc_HOL_Obool), _u14815), c_fequal), _u14821))), _u14821)), skolem343(_u14821, _u14819, _u14817, _u14815))) )).
% 29.00/29.25 cnf(matrix-6475, plain, ( ( _u14827 != _u14829) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14831)), _u14827) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14831)), _u14829)) )).
% 29.00/29.25 cnf(matrix-6476, plain, ( ( _u14827 != _u14829) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14831, _u14831)), _u14822), hAPP(c_List_Oset(tc_prod(_u14831, _u14831)), hAPP(hAPP(c_List_Ozip(_u14831, _u14831), _u14827), _u14829)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14831, _u14831, tc_HOL_Obool), c_fequal), _u14822)) )).
% 29.00/29.25 cnf(matrix-6477, plain, ( ( _u14828 = _u14830) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14828) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14830)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14832, _u14832)), skolem344(_u14832, _u14830, _u14828)), hAPP(c_List_Oset(tc_prod(_u14832, _u14832)), hAPP(hAPP(c_List_Ozip(_u14832, _u14832), _u14828), _u14830)))) )).
% 29.00/29.25 cnf(matrix-6478, plain, ( ( _u14828 = _u14830) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14828) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14830)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14832, _u14832, tc_HOL_Obool), c_fequal), skolem344(_u14832, _u14830, _u14828))) )).
% 29.00/29.25 cnf(matrix-6479, plain, ( ~c_Relation_Orefl__on(_u14840, _u14842, _u14844) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14840, _u14840)), _u14833), _u14844)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14840, _u14840, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14840, tc_fun(_u14840, tc_HOL_Obool), tc_fun(_u14840, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14840, tc_HOL_Obool), tc_fun(_u14840, tc_HOL_Obool)), _u14840), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14840), c_fconj), hAPP(hAPP(c_COMBC(_u14840, tc_fun(_u14840, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14840)), _u14842)))), hAPP(hAPP(c_COMBC(_u14840, tc_fun(_u14840, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14840)), _u14842))), _u14833)) )).
% 29.00/29.25 cnf(matrix-6480, plain, ( ~c_Relation_Orefl__on(_u14840, _u14842, _u14844) | ~hBOOL(hAPP(hAPP(c_member(_u14840), _u14834), _u14842)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14840, _u14840)), hAPP(hAPP(c_Product__Type_OPair(_u14840, _u14840), _u14834), _u14834)), _u14844)) )).
% 29.00/29.25 cnf(matrix-6481, plain, ( c_Relation_Orefl__on(_u14841, _u14843, _u14845) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14841, _u14841)), skolem345(_u14845, _u14843, _u14841)), _u14845)) | hBOOL(hAPP(hAPP(c_member(_u14841), skolem346(_u14845, _u14843, _u14841)), _u14843)) )).
% 29.00/29.25 cnf(matrix-6482, plain, ( c_Relation_Orefl__on(_u14841, _u14843, _u14845) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14841, _u14841)), skolem345(_u14845, _u14843, _u14841)), _u14845)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14841, _u14841)), hAPP(hAPP(c_Product__Type_OPair(_u14841, _u14841), skolem346(_u14845, _u14843, _u14841)), skolem346(_u14845, _u14843, _u14841))), _u14845)) )).
% 29.00/29.25 cnf(matrix-6483, plain, ( c_Relation_Orefl__on(_u14841, _u14843, _u14845) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14841, _u14841, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14841, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool)), _u14841), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14841)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14841), c_fconj), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14841)), _u14843)))), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14841)), _u14843))), skolem345(_u14845, _u14843, _u14841))) | hBOOL(hAPP(hAPP(c_member(_u14841), skolem346(_u14845, _u14843, _u14841)), _u14843)) )).
% 29.00/29.25 cnf(matrix-6484, plain, ( c_Relation_Orefl__on(_u14841, _u14843, _u14845) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14841, _u14841, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14841, tc_HOL_Obool), tc_fun(_u14841, tc_HOL_Obool)), _u14841), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14841)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14841), c_fconj), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14841)), _u14843)))), hAPP(hAPP(c_COMBC(_u14841, tc_fun(_u14841, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14841)), _u14843))), skolem345(_u14845, _u14843, _u14841))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14841, _u14841)), hAPP(hAPP(c_Product__Type_OPair(_u14841, _u14841), skolem346(_u14845, _u14843, _u14841)), skolem346(_u14845, _u14843, _u14841))), _u14845)) )).
% 29.00/29.25 cnf(matrix-6485, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14846, _u14847), hAPP(hAPP(c_List_Olist_OCons(_u14846), _u14848), _u14849)), _u14850) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u14846, _u14847)), _u14847, c_List_Olist_ONil(tc_prod(_u14846, _u14847)), hAPP(hAPP(c_COMBC(_u14847, tc_fun(tc_List_Olist(_u14847), tc_List_Olist(tc_prod(_u14846, _u14847))), tc_fun(tc_List_Olist(_u14847), tc_List_Olist(tc_prod(_u14846, _u14847)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u14846, _u14847)), tc_List_Olist(tc_prod(_u14846, _u14847))), tc_fun(tc_fun(tc_List_Olist(_u14847), tc_List_Olist(tc_prod(_u14846, _u14847))), tc_fun(tc_List_Olist(_u14847), tc_List_Olist(tc_prod(_u14846, _u14847)))), _u14847), c_COMBB(tc_List_Olist(tc_prod(_u14846, _u14847)), tc_List_Olist(tc_prod(_u14846, _u14847)), tc_List_Olist(_u14847))), hAPP(hAPP(c_COMBB(tc_prod(_u14846, _u14847), tc_fun(tc_List_Olist(tc_prod(_u14846, _u14847)), tc_List_Olist(tc_prod(_u14846, _u14847))), _u14847), c_List_Olist_OCons(tc_prod(_u14846, _u14847))), hAPP(c_Product__Type_OPair(_u14846, _u14847), _u14848)))), hAPP(c_List_Ozip(_u14846, _u14847), _u14849))), _u14850)) )).
% 29.00/29.25 cnf(matrix-6486, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14851, _u14852), _u14853), hAPP(hAPP(c_List_Olist_OCons(_u14852), _u14854), _u14855)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u14851, _u14852)), _u14851, c_List_Olist_ONil(tc_prod(_u14851, _u14852)), hAPP(hAPP(c_COMBC(_u14851, tc_fun(tc_List_Olist(_u14851), tc_List_Olist(tc_prod(_u14851, _u14852))), tc_fun(tc_List_Olist(_u14851), tc_List_Olist(tc_prod(_u14851, _u14852)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u14851, _u14852)), tc_List_Olist(tc_prod(_u14851, _u14852))), tc_fun(tc_fun(tc_List_Olist(_u14851), tc_List_Olist(tc_prod(_u14851, _u14852))), tc_fun(tc_List_Olist(_u14851), tc_List_Olist(tc_prod(_u14851, _u14852)))), _u14851), c_COMBB(tc_List_Olist(tc_prod(_u14851, _u14852)), tc_List_Olist(tc_prod(_u14851, _u14852)), tc_List_Olist(_u14851))), hAPP(hAPP(c_COMBB(tc_prod(_u14851, _u14852), tc_fun(tc_List_Olist(tc_prod(_u14851, _u14852)), tc_List_Olist(tc_prod(_u14851, _u14852))), _u14851), c_List_Olist_OCons(tc_prod(_u14851, _u14852))), hAPP(hAPP(c_COMBC(_u14851, _u14852, tc_prod(_u14851, _u14852)), c_Product__Type_OPair(_u14851, _u14852)), _u14854)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14851), tc_List_Olist(_u14852), tc_List_Olist(tc_prod(_u14851, _u14852))), c_List_Ozip(_u14851, _u14852)), _u14855))), _u14853)) )).
% 29.00/29.25 cnf(matrix-6487, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14858)), _u14857), _u14859)) | c_Hoare__Mirabelle_Otriple__valid(_u14858, _u14860, _u14857) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14858)), skolem347(_u14860, _u14859, _u14858)), _u14859)) )).
% 29.00/29.25 cnf(matrix-6488, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14858)), _u14857), _u14859)) | c_Hoare__Mirabelle_Otriple__valid(_u14858, _u14860, _u14857) | ~c_Hoare__Mirabelle_Otriple__valid(_u14858, hAPP(c_Nat_OSuc, _u14860), skolem347(_u14860, _u14859, _u14858)) )).
% 29.00/29.26 cnf(matrix-6489, plain, ( ( hAPP(c_List_Olist_Olist__case(_u14861, _u14862, _u14863, _u14864), hAPP(hAPP(c_List_Olist_OCons(_u14862), _u14865), _u14866)) = hAPP(hAPP(_u14864, _u14865), _u14866)) )).
% 29.00/29.26 cnf(matrix-6490, plain, ( ( hAPP(c_List_Olist_Olist__case(_u14867, _u14868, _u14869, _u14870), c_List_Olist_ONil(_u14868)) = _u14869) )).
% 29.00/29.26 cnf(matrix-6491, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14880, _u14882, _u14884) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14880)), _u14872), _u14884)) | c_Hoare__Mirabelle_Otriple__valid(_u14880, _u14873, _u14872) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14880)), skolem348(_u14884, _u14882, _u14880, _u14873)), _u14882)) )).
% 29.00/29.26 cnf(matrix-6492, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14880, _u14882, _u14884) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14880)), _u14872), _u14884)) | c_Hoare__Mirabelle_Otriple__valid(_u14880, _u14873, _u14872) | ~c_Hoare__Mirabelle_Otriple__valid(_u14880, _u14873, skolem348(_u14884, _u14882, _u14880, _u14873)) )).
% 29.00/29.26 cnf(matrix-6493, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14881, _u14883, _u14885) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14881)), _u14874), _u14883)) | c_Hoare__Mirabelle_Otriple__valid(_u14881, skolem349(_u14885, _u14883, _u14881), _u14874) )).
% 29.00/29.26 cnf(matrix-6494, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14881, _u14883, _u14885) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14881)), skolem350(_u14885, _u14883, _u14881)), _u14885)) )).
% 29.00/29.26 cnf(matrix-6495, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14881, _u14883, _u14885) | ~c_Hoare__Mirabelle_Otriple__valid(_u14881, skolem349(_u14885, _u14883, _u14881), skolem350(_u14885, _u14883, _u14881)) )).
% 29.00/29.26 cnf(matrix-6496, plain, ( ( hAPP(c_List_Orotate1(_u14886), _u14887) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u14886), _u14886, c_List_Olist_ONil(_u14886), hAPP(hAPP(c_COMBB(tc_List_Olist(_u14886), tc_fun(tc_List_Olist(_u14886), tc_List_Olist(_u14886)), _u14886), hAPP(c_COMBC(tc_List_Olist(_u14886), tc_List_Olist(_u14886), tc_List_Olist(_u14886)), c_List_Oappend(_u14886))), hAPP(hAPP(c_COMBC(_u14886, tc_List_Olist(_u14886), tc_List_Olist(_u14886)), c_List_Olist_OCons(_u14886)), c_List_Olist_ONil(_u14886)))), _u14887)) )).
% 29.00/29.26 cnf(matrix-6497, plain, ( ( hAPP(c_List_Oset(_u14888), hAPP(c_List_Orotate1(_u14888), _u14889)) = hAPP(c_List_Oset(_u14888), _u14889)) )).
% 29.00/29.26 cnf(matrix-6498, plain, ( ( hAPP(c_List_Orotate1(_u14892), _u14894) != c_List_Olist_ONil(_u14892)) | ( _u14894 = c_List_Olist_ONil(_u14892)) )).
% 29.00/29.26 cnf(matrix-6499, plain, ( ( _u14895 != c_List_Olist_ONil(_u14893)) | ( hAPP(c_List_Orotate1(_u14893), _u14895) = c_List_Olist_ONil(_u14893)) )).
% 29.00/29.26 cnf(matrix-6500, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14896)), hAPP(c_List_Orotate1(_u14896), _u14897)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14896)), _u14897)) )).
% 29.00/29.26 cnf(matrix-6501, plain, ( ( hAPP(c_List_Orotate1(_u14898), c_List_Olist_ONil(_u14898)) = c_List_Olist_ONil(_u14898)) )).
% 29.00/29.26 cnf(matrix-6502, plain, ( ( hAPP(c_List_Orotate1(_u14899), hAPP(hAPP(c_List_Olist_OCons(_u14899), _u14900), _u14901)) = hAPP(hAPP(c_List_Oappend(_u14899), _u14901), hAPP(hAPP(c_List_Olist_OCons(_u14899), _u14900), c_List_Olist_ONil(_u14899)))) )).
% 29.00/29.26 cnf(matrix-6503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14902)), _u14903)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u14902), _u14903) = _u14903) )).
% 29.00/29.26 cnf(matrix-6504, plain, ( ( _u14904 = c_List_Olist_ONil(_u14905)) | ( hAPP(c_List_Orotate1(_u14905), _u14904) = hAPP(hAPP(c_List_Oappend(_u14905), hAPP(c_List_Otl(_u14905), _u14904)), hAPP(hAPP(c_List_Olist_OCons(_u14905), hAPP(c_List_Ohd(_u14905), _u14904)), c_List_Olist_ONil(_u14905)))) )).
% 29.00/29.26 cnf(matrix-6505, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14906), _u14907)) | hBOOL(hAPP(hAPP(c_member(_u14906), _u14908), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14906, tc_HOL_Obool)), hAPP(c_List_Oset(_u14906), _u14907)), hAPP(hAPP(c_Set_Oinsert(_u14906), hAPP(hAPP(c_List_Onth(_u14906), _u14907), _u14909)), c_Orderings_Obot__class_Obot(tc_fun(_u14906, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u14906), hAPP(hAPP(c_List_Olist__update(_u14906, _u14907), _u14909), _u14908))) )).
% 29.00/29.26 cnf(matrix-6506, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14912), hAPP(c_List_Orotate1(_u14912), _u14914))) | hBOOL(hAPP(c_List_Odistinct(_u14912), _u14914)) )).
% 29.00/29.26 cnf(matrix-6507, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14913), _u14915)) | hBOOL(hAPP(c_List_Odistinct(_u14913), hAPP(c_List_Orotate1(_u14913), _u14915))) )).
% 29.00/29.26 cnf(matrix-6508, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14916), _u14917)) | hBOOL(hAPP(c_List_Odistinct(_u14916), hAPP(hAPP(c_List_Odrop(_u14916), _u14918), _u14917))) )).
% 29.00/29.26 cnf(matrix-6509, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14919), _u14920), hAPP(c_List_Otl(_u14919), _u14921)) = hAPP(c_List_Otl(_u14919), hAPP(hAPP(c_List_Odrop(_u14919), _u14920), _u14921))) )).
% 29.00/29.26 cnf(matrix-6510, plain, ( ( hAPP(c_List_Otl(_u14922), hAPP(hAPP(c_List_Odrop(_u14922), _u14923), _u14924)) = hAPP(hAPP(c_List_Odrop(_u14922), _u14923), hAPP(c_List_Otl(_u14922), _u14924))) )).
% 29.00/29.26 cnf(matrix-6511, plain, ( ( hAPP(c_List_Otl(_u14925), hAPP(hAPP(c_List_Olist_OCons(_u14925), _u14926), _u14927)) = _u14927) )).
% 29.00/29.26 cnf(matrix-6512, plain, ( ( hAPP(c_List_Otl(_u14928), c_List_Olist_ONil(_u14928)) = c_List_Olist_ONil(_u14928)) )).
% 29.00/29.26 cnf(matrix-6513, plain, ( hBOOL(hAPP(c_List_Odistinct(_u14929), c_List_Olist_ONil(_u14929))) )).
% 29.00/29.26 cnf(matrix-6514, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14930), _u14931)) | hBOOL(hAPP(c_List_Odistinct(_u14930), hAPP(hAPP(c_List_Otake(_u14930), _u14932), _u14931))) )).
% 29.00/29.26 cnf(matrix-6515, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14933), _u14934)) | hBOOL(hAPP(c_List_Odistinct(_u14933), hAPP(c_List_Otl(_u14933), _u14934))) )).
% 29.00/29.26 cnf(matrix-6516, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14935), _u14936)) | hBOOL(hAPP(c_List_Odistinct(_u14935), c_List_Osublist(_u14935, _u14936, _u14937))) )).
% 29.00/29.26 cnf(matrix-6517, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14938), _u14939)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14938, _u14940)), hAPP(hAPP(c_List_Ozip(_u14938, _u14940), _u14939), _u14941))) )).
% 29.00/29.26 cnf(matrix-6518, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14942), _u14943)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14944, _u14942)), hAPP(hAPP(c_List_Ozip(_u14944, _u14942), _u14945), _u14943))) )).
% 29.00/29.26 cnf(matrix-6519, plain, ( ( _u14946 = c_List_Olist_ONil(_u14947)) | ( hAPP(c_List_Otl(_u14947), hAPP(hAPP(c_List_Oappend(_u14947), _u14946), _u14948)) = hAPP(hAPP(c_List_Oappend(_u14947), hAPP(c_List_Otl(_u14947), _u14946)), _u14948)) )).
% 29.00/29.26 cnf(matrix-6520, plain, ( ( hAPP(hAPP(c_List_Otake(_u14949), _u14950), hAPP(c_List_Otl(_u14949), _u14951)) = hAPP(c_List_Otl(_u14949), hAPP(hAPP(c_List_Otake(_u14949), hAPP(c_Nat_OSuc, _u14950)), _u14951))) )).
% 29.00/29.26 cnf(matrix-6521, plain, ( ( hAPP(hAPP(c_List_Odrop(_u14952), hAPP(c_Nat_OSuc, _u14953)), _u14954) = hAPP(hAPP(c_List_Odrop(_u14952), _u14953), hAPP(c_List_Otl(_u14952), _u14954))) )).
% 29.00/29.26 cnf(matrix-6522, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14958), hAPP(hAPP(c_List_Olist_OCons(_u14958), _u14960), _u14962))) | ~hBOOL(hAPP(hAPP(c_member(_u14958), _u14960), hAPP(c_List_Oset(_u14958), _u14962))) )).
% 29.00/29.26 cnf(matrix-6523, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14958), hAPP(hAPP(c_List_Olist_OCons(_u14958), _u14960), _u14962))) | hBOOL(hAPP(c_List_Odistinct(_u14958), _u14962)) )).
% 29.00/29.26 cnf(matrix-6524, plain, ( hBOOL(hAPP(hAPP(c_member(_u14959), _u14961), hAPP(c_List_Oset(_u14959), _u14963))) | ~hBOOL(hAPP(c_List_Odistinct(_u14959), _u14963)) | hBOOL(hAPP(c_List_Odistinct(_u14959), hAPP(hAPP(c_List_Olist_OCons(_u14959), _u14961), _u14963))) )).
% 29.00/29.26 cnf(matrix-6525, plain, ( ( hAPP(c_Finite__Set_Ocard(_u14964), hAPP(c_List_Oset(_u14964), _u14965)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14964)), _u14965)) | hBOOL(hAPP(c_List_Odistinct(_u14964), _u14965)) )).
% 29.00/29.26 cnf(matrix-6526, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14966), _u14967)) | ( hAPP(c_Finite__Set_Ocard(_u14966), hAPP(c_List_Oset(_u14966), _u14967)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14966)), _u14967)) )).
% 29.00/29.26 cnf(matrix-6527, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14974), _u14976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14969), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14976))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14968), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14974)), _u14976))) | ( _u14969 = _u14968) | ( hAPP(hAPP(c_List_Onth(_u14974), _u14976), _u14969) != hAPP(hAPP(c_List_Onth(_u14974), _u14976), _u14968)) )).
% 29.00/29.26 cnf(matrix-6528, plain, ( hBOOL(hAPP(c_List_Odistinct(_u14975), _u14977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem351(_u14977, _u14975)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14975)), _u14977))) )).
% 29.00/29.26 cnf(matrix-6529, plain, ( hBOOL(hAPP(c_List_Odistinct(_u14975), _u14977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem352(_u14977, _u14975)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14975)), _u14977))) )).
% 29.00/29.26 cnf(matrix-6530, plain, ( hBOOL(hAPP(c_List_Odistinct(_u14975), _u14977)) | ( skolem351(_u14977, _u14975) != skolem352(_u14977, _u14975)) )).
% 29.00/29.26 cnf(matrix-6531, plain, ( hBOOL(hAPP(c_List_Odistinct(_u14975), _u14977)) | ( hAPP(hAPP(c_List_Onth(_u14975), _u14977), skolem351(_u14977, _u14975)) = hAPP(hAPP(c_List_Onth(_u14975), _u14977), skolem352(_u14977, _u14975))) )).
% 29.00/29.26 cnf(matrix-6532, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14978), _u14979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14980), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14978)), _u14979))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14981), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14978)), _u14979))) | ( hAPP(hAPP(c_List_Onth(_u14978), _u14979), _u14980) != hAPP(hAPP(c_List_Onth(_u14978), _u14979), _u14981)) | ( _u14980 = _u14981) )).
% 29.00/29.26 cnf(matrix-6533, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14978), _u14979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14980), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14978)), _u14979))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14981), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14978)), _u14979))) | ( _u14980 != _u14981) | ( hAPP(hAPP(c_List_Onth(_u14978), _u14979), _u14980) = hAPP(hAPP(c_List_Onth(_u14978), _u14979), _u14981)) )).
% 29.00/29.26 cnf(matrix-6534, plain, ( ( hAPP(c_List_Otl(_u14982), hAPP(hAPP(c_List_Oappend(_u14982), _u14983), _u14984)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u14982), _u14982, hAPP(c_List_Otl(_u14982), _u14984), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u14982), tc_List_Olist(_u14982)), _u14982), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14982), tc_List_Olist(_u14982), tc_List_Olist(_u14982)), c_List_Oappend(_u14982)), _u14984))), _u14983)) )).
% 29.00/29.26 cnf(matrix-6535, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14988), hAPP(hAPP(c_List_Oappend(_u14988), _u14990), _u14992))) | hBOOL(hAPP(c_List_Odistinct(_u14988), _u14990)) )).
% 29.00/29.26 cnf(matrix-6536, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14988), hAPP(hAPP(c_List_Oappend(_u14988), _u14990), _u14992))) | hBOOL(hAPP(c_List_Odistinct(_u14988), _u14992)) )).
% 29.00/29.26 cnf(matrix-6537, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14988), hAPP(hAPP(c_List_Oappend(_u14988), _u14990), _u14992))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14988, tc_HOL_Obool)), hAPP(c_List_Oset(_u14988), _u14990)), hAPP(c_List_Oset(_u14988), _u14992)) = c_Orderings_Obot__class_Obot(tc_fun(_u14988, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6538, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14989), _u14991)) | ~hBOOL(hAPP(c_List_Odistinct(_u14989), _u14993)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14989, tc_HOL_Obool)), hAPP(c_List_Oset(_u14989), _u14991)), hAPP(c_List_Oset(_u14989), _u14993)) != c_Orderings_Obot__class_Obot(tc_fun(_u14989, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u14989), hAPP(hAPP(c_List_Oappend(_u14989), _u14991), _u14993))) )).
% 29.00/29.26 cnf(matrix-6539, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14994)), hAPP(c_List_Otl(_u14994), _u14995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14994)), _u14995)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.26 cnf(matrix-6540, plain, ( ( hAPP(c_List_Otl(_u14996), hAPP(hAPP(c_List_Otake(_u14996), _u14997), _u14998)) = hAPP(hAPP(c_List_Otake(_u14996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u14997), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u14996), _u14998))) )).
% 29.00/29.26 cnf(matrix-6541, plain, ( ( _u14999 = c_List_Olist_ONil(_u15000)) | ( hAPP(hAPP(c_List_Otake(_u15000), hAPP(c_Nat_OSuc, _u15001)), _u14999) = hAPP(hAPP(c_List_Olist_OCons(_u15000), hAPP(c_List_Ohd(_u15000), _u14999)), hAPP(hAPP(c_List_Otake(_u15000), _u15001), hAPP(c_List_Otl(_u15000), _u14999)))) )).
% 29.00/29.26 cnf(matrix-6542, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u15002) | ( _u15003 = c_List_Olist_ONil(_u15002)) | ( hAPP(c_Finite__Set_Ofold1(_u15002, c_Groups_Otimes__class_Otimes(_u15002)), hAPP(c_List_Oset(_u15002), _u15003)) = hAPP(c_List_Ofoldl(_u15002, _u15002, c_Groups_Otimes__class_Otimes(_u15002), hAPP(c_List_Ohd(_u15002), _u15003)), hAPP(c_List_Otl(_u15002), _u15003))) )).
% 29.00/29.26 cnf(matrix-6543, plain, ( ( _u15004 = c_List_Olist_ONil(_u15005)) | ( hAPP(c_List_Ohd(_u15005), hAPP(c_List_Orotate(_u15005, _u15006), _u15004)) = hAPP(hAPP(c_List_Onth(_u15005), _u15004), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15006, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15005)), _u15004)))) )).
% 29.00/29.26 cnf(matrix-6544, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15010), hAPP(c_List_Orotate(_u15010, _u15012), _u15014))) | hBOOL(hAPP(c_List_Odistinct(_u15010), _u15014)) )).
% 29.00/29.26 cnf(matrix-6545, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15011), _u15015)) | hBOOL(hAPP(c_List_Odistinct(_u15011), hAPP(c_List_Orotate(_u15011, _u15013), _u15015))) )).
% 29.00/29.26 cnf(matrix-6546, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15020), _u15022) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15020 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-6547, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15020), _u15022) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15016), hAPP(c_List_Oset(tc_Nat_Onat), _u15022))) | ( _u15016 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-6548, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15021), _u15023) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15021 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem353(_u15023, _u15021)), hAPP(c_List_Oset(tc_Nat_Onat), _u15023))) )).
% 29.00/29.26 cnf(matrix-6549, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15021), _u15023) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15021 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem353(_u15023, _u15021) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-6550, plain, ( ( hAPP(c_List_Oset(_u15024), hAPP(c_List_Orotate(_u15024, _u15025), _u15026)) = hAPP(c_List_Oset(_u15024), _u15026)) )).
% 29.00/29.26 cnf(matrix-6551, plain, ( ~class_Groups_Omonoid__add(_u15027) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15027), _u15028), hAPP(c_List_Ofoldl(_u15027, _u15027, c_Groups_Oplus__class_Oplus(_u15027), c_Groups_Ozero__class_Ozero(_u15027)), _u15029)) = hAPP(c_List_Ofoldl(_u15027, _u15027, c_Groups_Oplus__class_Oplus(_u15027), _u15028), _u15029)) )).
% 29.00/29.26 cnf(matrix-6552, plain, ( ( hAPP(c_List_Orotate(_u15030, _u15031), hAPP(c_List_Orotate(_u15030, _u15032), _u15033)) = hAPP(c_List_Orotate(_u15030, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15031), _u15032)), _u15033)) )).
% 29.00/29.26 cnf(matrix-6553, plain, ( ~class_Groups_Osemigroup__add(_u15034) | ( hAPP(c_List_Ofoldl(_u15034, _u15034, c_Groups_Oplus__class_Oplus(_u15034), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15034), _u15035), _u15036)), _u15037) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15034), _u15035), hAPP(c_List_Ofoldl(_u15034, _u15034, c_Groups_Oplus__class_Oplus(_u15034), _u15036), _u15037))) )).
% 29.00/29.26 cnf(matrix-6554, plain, ( ( c_List_Orotate(_u15038, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15039), _u15040)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u15038), tc_List_Olist(_u15038), tc_List_Olist(_u15038), c_List_Orotate(_u15038, _u15039)), c_List_Orotate(_u15038, _u15040))) )).
% 29.00/29.26 cnf(matrix-6555, plain, ( ( c_List_Orotate(_u15041, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u15041))) )).
% 29.00/29.26 cnf(matrix-6556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15042), _u15043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15042), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u15043), _u15044))) )).
% 29.00/29.26 cnf(matrix-6557, plain, ( ( hAPP(c_List_Ofoldl(_u15045, _u15046, _u15047, _u15048), c_List_Olist_ONil(_u15046)) = _u15048) )).
% 29.00/29.26 cnf(matrix-6558, plain, ( ( hAPP(c_List_Orotate(_u15052, _u15054), _u15056) != c_List_Olist_ONil(_u15052)) | ( _u15056 = c_List_Olist_ONil(_u15052)) )).
% 29.00/29.26 cnf(matrix-6559, plain, ( ( _u15057 != c_List_Olist_ONil(_u15053)) | ( hAPP(c_List_Orotate(_u15053, _u15055), _u15057) = c_List_Olist_ONil(_u15053)) )).
% 29.00/29.26 cnf(matrix-6560, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15058)), hAPP(c_List_Orotate(_u15058, _u15059), _u15060)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15058)), _u15060)) )).
% 29.00/29.26 cnf(matrix-6561, plain, ( ( hAPP(c_List_Ofoldl(_u15061, _u15062, _u15063, _u15064), hAPP(hAPP(c_List_Oappend(_u15062), _u15065), _u15066)) = hAPP(c_List_Ofoldl(_u15061, _u15062, _u15063, hAPP(c_List_Ofoldl(_u15061, _u15062, _u15063, _u15064), _u15065)), _u15066)) )).
% 29.00/29.26 cnf(matrix-6562, plain, ( ( hAPP(c_List_Ofoldl(_u15067, _u15068, _u15069, _u15070), hAPP(hAPP(c_List_Olist_OCons(_u15068), _u15071), _u15072)) = hAPP(c_List_Ofoldl(_u15067, _u15068, _u15069, hAPP(hAPP(_u15069, _u15070), _u15071)), _u15072)) )).
% 29.00/29.26 cnf(matrix-6563, plain, ( ( hAPP(c_List_Orotate1(_u15073), hAPP(c_List_Orotate(_u15073, _u15074), _u15075)) = hAPP(c_List_Orotate(_u15073, _u15074), hAPP(c_List_Orotate1(_u15073), _u15075))) )).
% 29.00/29.26 cnf(matrix-6564, plain, ( ( c_List_Orotate(_u15076, _u15077) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u15076), tc_List_Olist(_u15076)), _u15077), c_List_Orotate1(_u15076))) )).
% 29.00/29.26 cnf(matrix-6565, plain, ( ( hAPP(c_List_Orotate(_u15078, _u15079), _u15080) = hAPP(c_List_Orotate(_u15078, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15079, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15078)), _u15080))), _u15080)) )).
% 29.00/29.26 cnf(matrix-6566, plain, ( ( hAPP(c_List_Orotate(_u15081, hAPP(c_Nat_OSuc, _u15082)), _u15083) = hAPP(c_List_Orotate1(_u15081), hAPP(c_List_Orotate(_u15081, _u15082), _u15083))) )).
% 29.00/29.26 cnf(matrix-6567, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15084, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15085)), _u15086)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u15085, _u15084), _u15086) = _u15086) )).
% 29.00/29.26 cnf(matrix-6568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15087)), _u15088)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u15087, _u15089), _u15088) = _u15088) )).
% 29.00/29.26 cnf(matrix-6569, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15090), hAPP(c_List_Oset(tc_Nat_Onat), _u15091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15090), 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)), _u15091))) )).
% 29.00/29.26 cnf(matrix-6570, plain, ( ~class_Lattices_Olattice(_u15092) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15092, hAPP(c_List_Oset(_u15092), hAPP(hAPP(c_List_Olist_OCons(_u15092), _u15093), _u15094))) = hAPP(c_List_Ofoldl(_u15092, _u15092, c_Lattices_Osemilattice__sup__class_Osup(_u15092), _u15093), _u15094)) )).
% 29.00/29.26 cnf(matrix-6571, plain, ( ~class_Lattices_Olattice(_u15095) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15095, hAPP(c_List_Oset(_u15095), hAPP(hAPP(c_List_Olist_OCons(_u15095), _u15096), _u15097))) = hAPP(c_List_Ofoldl(_u15095, _u15095, c_Lattices_Osemilattice__inf__class_Oinf(_u15095), _u15096), _u15097)) )).
% 29.00/29.26 cnf(matrix-6572, plain, ( ~class_Orderings_Olinorder(_u15098) | ( c_Big__Operators_Olinorder__class_OMin(_u15098, hAPP(c_List_Oset(_u15098), hAPP(hAPP(c_List_Olist_OCons(_u15098), _u15099), _u15100))) = hAPP(c_List_Ofoldl(_u15098, _u15098, c_Orderings_Oord__class_Omin(_u15098), _u15099), _u15100)) )).
% 29.00/29.26 cnf(matrix-6573, plain, ( ~class_Orderings_Olinorder(_u15101) | ( c_Big__Operators_Olinorder__class_OMax(_u15101, hAPP(c_List_Oset(_u15101), hAPP(hAPP(c_List_Olist_OCons(_u15101), _u15102), _u15103))) = hAPP(c_List_Ofoldl(_u15101, _u15101, c_Orderings_Oord__class_Omax(_u15101), _u15102), _u15103)) )).
% 29.00/29.26 cnf(matrix-6574, plain, ( ~class_Orderings_Olinorder(_u15104) | ( c_Big__Operators_Olattice_OInf__fin(_u15104, c_Orderings_Oord__class_Omin(_u15104), hAPP(c_List_Oset(_u15104), hAPP(hAPP(c_List_Olist_OCons(_u15104), _u15105), _u15106))) = hAPP(c_List_Ofoldl(_u15104, _u15104, c_Orderings_Oord__class_Omin(_u15104), _u15105), _u15106)) )).
% 29.00/29.26 cnf(matrix-6575, plain, ( ~class_Orderings_Olinorder(_u15107) | ( c_Big__Operators_Olattice_OSup__fin(_u15107, c_Orderings_Oord__class_Omax(_u15107), hAPP(c_List_Oset(_u15107), hAPP(hAPP(c_List_Olist_OCons(_u15107), _u15108), _u15109))) = hAPP(c_List_Ofoldl(_u15107, _u15107, c_Orderings_Oord__class_Omax(_u15107), _u15108), _u15109)) )).
% 29.00/29.26 cnf(matrix-6576, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15110) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15111, _u15110), hAPP(c_List_Oset(_u15111), _u15112)), _u15113) = hAPP(c_List_Ofoldl(_u15110, _u15111, hAPP(c_COMBC(_u15111, _u15110, _u15110), hAPP(hAPP(c_COMBB(_u15110, tc_fun(_u15110, _u15110), _u15111), c_Lattices_Osemilattice__sup__class_Osup(_u15110)), _u15113)), c_Orderings_Obot__class_Obot(_u15110)), _u15112)) )).
% 29.00/29.26 cnf(matrix-6577, plain, ( ( hAPP(c_List_Orotate(_u15114, _u15115), _u15116) = hAPP(hAPP(c_List_Oappend(_u15114), hAPP(hAPP(c_List_Odrop(_u15114), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15115, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15114)), _u15116))), _u15116)), hAPP(hAPP(c_List_Otake(_u15114), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u15115, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15114)), _u15116))), _u15116))) )).
% 29.00/29.26 cnf(matrix-6578, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15117, _u15118) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15117), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15118), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 29.00/29.26 cnf(matrix-6579, plain, ( ( _u15119 = c_List_Olist_ONil(_u15120)) | ( _u15121 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15120)), _u15119)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u15120, hAPP(hAPP(c_List_Olist__update(_u15120, _u15119), _u15121), _u15122)) = _u15122) )).
% 29.00/29.26 cnf(matrix-6580, plain, ( ( _u15119 = c_List_Olist_ONil(_u15120)) | ( _u15121 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15120)), _u15119)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u15120, hAPP(hAPP(c_List_Olist__update(_u15120, _u15119), _u15121), _u15122)) = c_List_Olast(_u15120, _u15119)) )).
% 29.00/29.26 cnf(matrix-6581, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15123, _u15124))) )).
% 29.00/29.26 cnf(matrix-6582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15125), _u15126)) | ( c_List_Oupto(_u15126, _u15125) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 29.00/29.26 cnf(matrix-6583, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15127, _u15128) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15127, _u15128))) )).
% 29.00/29.26 cnf(matrix-6584, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15129, _u15130)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15129, _u15130)) )).
% 29.00/29.26 cnf(matrix-6585, plain, ( ( _u15134 != c_List_Olist_ONil(_u15136)) | ( c_List_Olast(_u15136, hAPP(hAPP(c_List_Olist_OCons(_u15136), _u15138), _u15134)) = _u15138) )).
% 29.00/29.26 cnf(matrix-6586, plain, ( ( _u15135 = c_List_Olist_ONil(_u15137)) | ( c_List_Olast(_u15137, hAPP(hAPP(c_List_Olist_OCons(_u15137), _u15139), _u15135)) = c_List_Olast(_u15137, _u15135)) )).
% 29.00/29.26 cnf(matrix-6587, plain, ( ( _u15140 = c_List_Olist_ONil(_u15141)) | ( c_List_Olast(_u15141, hAPP(hAPP(c_List_Olist_OCons(_u15141), _u15142), _u15140)) = c_List_Olast(_u15141, _u15140)) )).
% 29.00/29.26 cnf(matrix-6588, plain, ( ( _u15143 != c_List_Olist_ONil(_u15144)) | ( c_List_Olast(_u15144, hAPP(hAPP(c_List_Olist_OCons(_u15144), _u15145), _u15143)) = _u15145) )).
% 29.00/29.26 cnf(matrix-6589, plain, ( ( _u15149 != c_List_Olist_ONil(_u15151)) | ( c_List_Olast(_u15151, hAPP(hAPP(c_List_Oappend(_u15151), _u15153), _u15149)) = c_List_Olast(_u15151, _u15153)) )).
% 29.00/29.26 cnf(matrix-6590, plain, ( ( _u15150 = c_List_Olist_ONil(_u15152)) | ( c_List_Olast(_u15152, hAPP(hAPP(c_List_Oappend(_u15152), _u15154), _u15150)) = c_List_Olast(_u15152, _u15150)) )).
% 29.00/29.26 cnf(matrix-6591, plain, ( ( _u15155 = c_List_Olist_ONil(_u15156)) | ( c_List_Olast(_u15156, hAPP(hAPP(c_List_Oappend(_u15156), _u15157), _u15155)) = c_List_Olast(_u15156, _u15155)) )).
% 29.00/29.26 cnf(matrix-6592, plain, ( ( _u15158 != c_List_Olist_ONil(_u15159)) | ( c_List_Olast(_u15159, hAPP(hAPP(c_List_Oappend(_u15159), _u15160), _u15158)) = c_List_Olast(_u15159, _u15160)) )).
% 29.00/29.26 cnf(matrix-6593, plain, ( ( _u15161 = c_List_Olist_ONil(_u15162)) | hBOOL(hAPP(hAPP(c_member(_u15162), c_List_Olast(_u15162, _u15161)), hAPP(c_List_Oset(_u15162), _u15161))) )).
% 29.00/29.26 cnf(matrix-6594, plain, ( ( c_List_Olast(_u15163, hAPP(hAPP(c_List_Oappend(_u15163), _u15164), hAPP(hAPP(c_List_Olist_OCons(_u15163), _u15165), c_List_Olist_ONil(_u15163)))) = _u15165) )).
% 29.00/29.26 cnf(matrix-6595, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15166), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15167)), _u15168))) | ( c_List_Olast(_u15167, hAPP(hAPP(c_List_Odrop(_u15167), _u15166), _u15168)) = c_List_Olast(_u15167, _u15168)) )).
% 29.00/29.26 cnf(matrix-6596, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15171), _u15173)) | ( c_List_Oupto(_u15171, _u15173) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15171), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15171), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15173))) )).
% 29.00/29.26 cnf(matrix-6597, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15172), _u15174)) | ( c_List_Oupto(_u15172, _u15174) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 29.00/29.26 cnf(matrix-6598, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15175), _u15176) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15175, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15176), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 29.00/29.26 cnf(matrix-6599, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15177, _u15178) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15177), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15178))) )).
% 29.00/29.26 cnf(matrix-6600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15181)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15183))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15183)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15181)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15181)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15183)))) )).
% 29.00/29.26 cnf(matrix-6601, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15182)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15184))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15184)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 29.00/29.26 cnf(matrix-6602, plain, ( ( _u15185 = c_List_Olist_ONil(_u15186)) | ( c_List_Olast(_u15186, _u15185) = hAPP(hAPP(c_List_Onth(_u15186), _u15185), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15185)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 29.00/29.26 cnf(matrix-6603, 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), _u15187), _u15188))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15187), _u15188)) | ( c_List_Oupto(_u15187, _u15188) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15187), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15187), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15188))) )).
% 29.00/29.26 cnf(matrix-6604, 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), _u15187), _u15188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15187), _u15188)) | ( c_List_Oupto(_u15187, _u15188) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 29.00/29.26 cnf(matrix-6605, plain, ( ~c_List_Onat__list(_u15190) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15190)) )).
% 29.00/29.26 cnf(matrix-6606, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15191)) | c_List_Onat__list(_u15191) )).
% 29.00/29.26 cnf(matrix-6607, 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), _u15194), _u15195))) | hBOOL(hAPP(hAPP(_u15196, _u15194), _u15195)) | 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), skolem354(_u15196, _u15195, _u15194)), skolem355(_u15196, _u15195, _u15194)))) )).
% 29.00/29.26 cnf(matrix-6608, 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), _u15194), _u15195))) | hBOOL(hAPP(hAPP(_u15196, _u15194), _u15195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem354(_u15196, _u15195, _u15194)), skolem355(_u15196, _u15195, _u15194))) | hBOOL(hAPP(hAPP(_u15196, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem354(_u15196, _u15195, _u15194)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem355(_u15196, _u15195, _u15194))) )).
% 29.00/29.26 cnf(matrix-6609, 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), _u15194), _u15195))) | hBOOL(hAPP(hAPP(_u15196, _u15194), _u15195)) | ~hBOOL(hAPP(hAPP(_u15196, skolem354(_u15196, _u15195, _u15194)), skolem355(_u15196, _u15195, _u15194))) )).
% 29.00/29.26 cnf(matrix-6610, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15202)), c_List_Olexord(_u15199, _u15200))) | ( _u15201 = _u15202) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15202), _u15201)), c_List_Olexord(_u15199, _u15200))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15199, _u15199)), hAPP(hAPP(c_Product__Type_OPair(_u15199, _u15199), skolem356(_u15202, _u15201, _u15200, _u15199)), skolem357(_u15202, _u15201, _u15200, _u15199))), _u15200)) )).
% 29.00/29.26 cnf(matrix-6611, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15202)), c_List_Olexord(_u15199, _u15200))) | ( _u15201 = _u15202) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15202), _u15201)), c_List_Olexord(_u15199, _u15200))) | ( skolem356(_u15202, _u15201, _u15200, _u15199) != skolem357(_u15202, _u15201, _u15200, _u15199)) )).
% 29.00/29.26 cnf(matrix-6612, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15202)), c_List_Olexord(_u15199, _u15200))) | ( _u15201 = _u15202) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15202), _u15201)), c_List_Olexord(_u15199, _u15200))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15199, _u15199)), hAPP(hAPP(c_Product__Type_OPair(_u15199, _u15199), skolem357(_u15202, _u15201, _u15200, _u15199)), skolem356(_u15202, _u15201, _u15200, _u15199))), _u15200)) )).
% 29.00/29.26 cnf(matrix-6613, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15210)), _u15212), c_List_Olists(_u15210, _u15214))) | ( _u15212 = c_List_Olist_ONil(_u15210)) | hBOOL(hAPP(hAPP(c_member(_u15210), skolem358(_u15214, _u15212, _u15210)), _u15214)) )).
% 29.00/29.26 cnf(matrix-6614, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15210)), _u15212), c_List_Olists(_u15210, _u15214))) | ( _u15212 = c_List_Olist_ONil(_u15210)) | ( _u15212 = hAPP(hAPP(c_List_Olist_OCons(_u15210), skolem358(_u15214, _u15212, _u15210)), skolem359(_u15214, _u15212, _u15210))) )).
% 29.00/29.26 cnf(matrix-6615, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15210)), _u15212), c_List_Olists(_u15210, _u15214))) | ( _u15212 = c_List_Olist_ONil(_u15210)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15210)), skolem359(_u15214, _u15212, _u15210)), c_List_Olists(_u15210, _u15214))) )).
% 29.00/29.26 cnf(matrix-6616, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15211)), _u15213), c_List_Olists(_u15211, _u15215))) | ( _u15213 != c_List_Olist_ONil(_u15211)) )).
% 29.00/29.26 cnf(matrix-6617, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15211)), _u15213), c_List_Olists(_u15211, _u15215))) | ~hBOOL(hAPP(hAPP(c_member(_u15211), _u15206), _u15215)) | ( _u15213 != hAPP(hAPP(c_List_Olist_OCons(_u15211), _u15206), _u15205)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15211)), _u15205), c_List_Olists(_u15211, _u15215))) )).
% 29.00/29.26 cnf(matrix-6618, plain, ( ~class_Groups_Ocomm__monoid__add(_u15216) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15216), _u15217) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15216), hAPP(c_List_Onth(_u15216), _u15217)), 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(_u15216)), _u15217)))) )).
% 29.00/29.26 cnf(matrix-6619, plain, ( ~class_Groups_Omonoid__add(_u15218) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15218), c_List_Olist_ONil(_u15218)) = c_Groups_Ozero__class_Ozero(_u15218)) )).
% 29.00/29.26 cnf(matrix-6620, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15219), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15220))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15220), _u15219)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15220))) )).
% 29.00/29.26 cnf(matrix-6621, plain, ( ~class_Groups_Omonoid__add(_u15221) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15221), hAPP(hAPP(c_List_Olist_OCons(_u15221), _u15222), _u15223)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15221), _u15222), hAPP(c_List_Omonoid__add__class_Olistsum(_u15221), _u15223))) )).
% 29.00/29.26 cnf(matrix-6622, plain, ( ~class_Groups_Omonoid__add(_u15224) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15224), hAPP(hAPP(c_List_Oappend(_u15224), _u15225), _u15226)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15224), hAPP(c_List_Omonoid__add__class_Olistsum(_u15224), _u15225)), hAPP(c_List_Omonoid__add__class_Olistsum(_u15224), _u15226))) )).
% 29.00/29.26 cnf(matrix-6623, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15230) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15227), hAPP(c_List_Oset(tc_Nat_Onat), _u15230))) | ( _u15227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-6624, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15231) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem360(_u15231)), hAPP(c_List_Oset(tc_Nat_Onat), _u15231))) )).
% 29.00/29.26 cnf(matrix-6625, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15231) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem360(_u15231) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-6626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15232), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15233))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15233), _u15232), _u15234)) = 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), _u15233)), _u15234)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15233), _u15232))) )).
% 29.00/29.26 cnf(matrix-6627, plain, ( ~class_Groups_Omonoid__add(_u15235) | ( c_List_Omonoid__add__class_Olistsum(_u15235) = c_List_Ofoldl(_u15235, _u15235, c_Groups_Oplus__class_Oplus(_u15235), c_Groups_Ozero__class_Ozero(_u15235))) )).
% 29.00/29.26 cnf(matrix-6628, plain, ( ~class_Groups_Ocomm__monoid__add(_u15236) | ~hBOOL(hAPP(c_List_Odistinct(_u15236), _u15237)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15236), _u15237) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15236, _u15236), c_COMBI(_u15236)), hAPP(c_List_Oset(_u15236), _u15237))) )).
% 29.00/29.26 cnf(matrix-6629, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15239, _u15241, _u15240)), c_List_Olist_Olist__size(_u15239, _u15242, _u15240))) | hBOOL(hAPP(hAPP(c_member(_u15239), skolem361(_u15242, _u15241, _u15240, _u15239)), hAPP(c_List_Oset(_u15239), _u15240))) )).
% 29.00/29.26 cnf(matrix-6630, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15239, _u15241, _u15240)), c_List_Olist_Olist__size(_u15239, _u15242, _u15240))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15241, skolem361(_u15242, _u15241, _u15240, _u15239))), hAPP(_u15242, skolem361(_u15242, _u15241, _u15240, _u15239)))) )).
% 29.00/29.26 cnf(matrix-6631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15243), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15244)), _u15245))) | ( c_List_Obutlast(_u15244, hAPP(hAPP(c_List_Otake(_u15244), _u15243), _u15245)) = hAPP(hAPP(c_List_Otake(_u15244), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15243), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15245)) )).
% 29.00/29.26 cnf(matrix-6632, plain, ( ( c_List_Obutlast(_u15246, c_List_Olist_ONil(_u15246)) = c_List_Olist_ONil(_u15246)) )).
% 29.00/29.26 cnf(matrix-6633, plain, ( ( hAPP(hAPP(c_List_Odrop(_u15247), _u15248), c_List_Obutlast(_u15247, _u15249)) = c_List_Obutlast(_u15247, hAPP(hAPP(c_List_Odrop(_u15247), _u15248), _u15249))) )).
% 29.00/29.26 cnf(matrix-6634, plain, ( ( c_List_Obutlast(_u15250, hAPP(hAPP(c_List_Odrop(_u15250), _u15251), _u15252)) = hAPP(hAPP(c_List_Odrop(_u15250), _u15251), c_List_Obutlast(_u15250, _u15252))) )).
% 29.00/29.26 cnf(matrix-6635, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15253), _u15254), hAPP(c_List_Oset(_u15253), c_List_Obutlast(_u15253, _u15255)))) | hBOOL(hAPP(hAPP(c_member(_u15253), _u15254), hAPP(c_List_Oset(_u15253), _u15255))) )).
% 29.00/29.26 cnf(matrix-6636, plain, ( ( _u15259 != c_List_Olist_ONil(_u15261)) | ( c_List_Obutlast(_u15261, hAPP(hAPP(c_List_Olist_OCons(_u15261), _u15263), _u15259)) = c_List_Olist_ONil(_u15261)) )).
% 29.00/29.26 cnf(matrix-6637, plain, ( ( _u15260 = c_List_Olist_ONil(_u15262)) | ( c_List_Obutlast(_u15262, hAPP(hAPP(c_List_Olist_OCons(_u15262), _u15264), _u15260)) = hAPP(hAPP(c_List_Olist_OCons(_u15262), _u15264), c_List_Obutlast(_u15262, _u15260))) )).
% 29.00/29.26 cnf(matrix-6638, plain, ( ( _u15268 != c_List_Olist_ONil(_u15270)) | ( c_List_Obutlast(_u15270, hAPP(hAPP(c_List_Oappend(_u15270), _u15272), _u15268)) = c_List_Obutlast(_u15270, _u15272)) )).
% 29.00/29.26 cnf(matrix-6639, plain, ( ( _u15269 = c_List_Olist_ONil(_u15271)) | ( c_List_Obutlast(_u15271, hAPP(hAPP(c_List_Oappend(_u15271), _u15273), _u15269)) = hAPP(hAPP(c_List_Oappend(_u15271), _u15273), c_List_Obutlast(_u15271, _u15269))) )).
% 29.00/29.26 cnf(matrix-6640, plain, ( ( _u15274 = c_List_Olist_ONil(_u15275)) | ~hBOOL(hAPP(c_List_Odistinct(_u15275), _u15274)) | hBOOL(hAPP(c_List_Odistinct(_u15275), c_List_Obutlast(_u15275, _u15274))) )).
% 29.00/29.26 cnf(matrix-6641, plain, ( hBOOL(hAPP(hAPP(c_member(_u15276), _u15277), hAPP(c_List_Oset(_u15276), c_List_Obutlast(_u15276, hAPP(hAPP(c_List_Oappend(_u15276), _u15278), _u15279))))) | ~hBOOL(hAPP(hAPP(c_member(_u15276), _u15277), hAPP(c_List_Oset(_u15276), c_List_Obutlast(_u15276, _u15278)))) )).
% 29.00/29.26 cnf(matrix-6642, plain, ( hBOOL(hAPP(hAPP(c_member(_u15276), _u15277), hAPP(c_List_Oset(_u15276), c_List_Obutlast(_u15276, hAPP(hAPP(c_List_Oappend(_u15276), _u15278), _u15279))))) | ~hBOOL(hAPP(hAPP(c_member(_u15276), _u15277), hAPP(c_List_Oset(_u15276), c_List_Obutlast(_u15276, _u15279)))) )).
% 29.00/29.26 cnf(matrix-6643, plain, ( ( c_List_Obutlast(_u15280, hAPP(hAPP(c_List_Oappend(_u15280), _u15281), hAPP(hAPP(c_List_Olist_OCons(_u15280), _u15282), c_List_Olist_ONil(_u15280)))) = _u15281) )).
% 29.00/29.26 cnf(matrix-6644, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15283), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15284)), _u15285))) | ( hAPP(hAPP(c_List_Otake(_u15284), _u15283), c_List_Obutlast(_u15284, _u15285)) = hAPP(hAPP(c_List_Otake(_u15284), _u15283), _u15285)) )).
% 29.00/29.26 cnf(matrix-6645, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15286)), c_List_Obutlast(_u15286, _u15287)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15286)), _u15287)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.26 cnf(matrix-6646, plain, ( ( c_List_Obutlast(_u15288, _u15289) = hAPP(hAPP(c_List_Otake(_u15288), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15288)), _u15289)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15289)) )).
% 29.00/29.26 cnf(matrix-6647, plain, ( ( _u15294 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15298)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15296, hAPP(hAPP(c_List_Olist__update(_u15296, _u15298), _u15294), _u15300)) = c_List_Obutlast(_u15296, _u15298)) )).
% 29.00/29.26 cnf(matrix-6648, plain, ( ( _u15295 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15297)), _u15299)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15297, hAPP(hAPP(c_List_Olist__update(_u15297, _u15299), _u15295), _u15301)) = hAPP(hAPP(c_List_Olist__update(_u15297, c_List_Obutlast(_u15297, _u15299)), _u15295), _u15301)) )).
% 29.00/29.26 cnf(matrix-6649, plain, ( ( _u15302 = c_List_Olist_ONil(_u15303)) | ( hAPP(hAPP(c_List_Oappend(_u15303), c_List_Obutlast(_u15303, _u15302)), hAPP(hAPP(c_List_Olist_OCons(_u15303), c_List_Olast(_u15303, _u15302)), c_List_Olist_ONil(_u15303))) = _u15302) )).
% 29.00/29.26 cnf(matrix-6650, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15308), _u15310), hAPP(hAPP(c_List_Olist_OCons(_u15308), _u15312), c_List_Olist_ONil(_u15308))) != _u15314) | ( _u15314 != c_List_Olist_ONil(_u15308)) )).
% 29.00/29.26 cnf(matrix-6651, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15308), _u15310), hAPP(hAPP(c_List_Olist_OCons(_u15308), _u15312), c_List_Olist_ONil(_u15308))) != _u15314) | ( c_List_Obutlast(_u15308, _u15314) = _u15310) )).
% 29.00/29.26 cnf(matrix-6652, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15308), _u15310), hAPP(hAPP(c_List_Olist_OCons(_u15308), _u15312), c_List_Olist_ONil(_u15308))) != _u15314) | ( c_List_Olast(_u15308, _u15314) = _u15312) )).
% 29.00/29.26 cnf(matrix-6653, plain, ( ( _u15315 = c_List_Olist_ONil(_u15309)) | ( c_List_Obutlast(_u15309, _u15315) != _u15311) | ( c_List_Olast(_u15309, _u15315) != _u15313) | ( hAPP(hAPP(c_List_Oappend(_u15309), _u15311), hAPP(hAPP(c_List_Olist_OCons(_u15309), _u15313), c_List_Olist_ONil(_u15309))) = _u15315) )).
% 29.00/29.26 cnf(matrix-6654, plain, ( ( _u15316 = c_List_Olist_ONil(_u15317)) | ( c_Random_Oselect__weight(_u15317, hAPP(hAPP(c_List_Omap(_u15317, tc_prod(tc_Code__Numeral_Ocode__numeral, _u15317)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15317), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u15316)) = c_Random_Oselect(_u15317, _u15316)) )).
% 29.00/29.26 cnf(matrix-6655, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15318) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15319, _u15318), hAPP(c_List_Oset(_u15319), _u15320)), _u15321) = hAPP(c_List_Ofoldl(_u15318, _u15319, hAPP(c_COMBC(_u15319, _u15318, _u15318), hAPP(hAPP(c_COMBB(_u15318, tc_fun(_u15318, _u15318), _u15319), c_Lattices_Osemilattice__inf__class_Oinf(_u15318)), _u15321)), c_Orderings_Otop__class_Otop(_u15318)), _u15320)) )).
% 29.00/29.26 cnf(matrix-6656, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15322), _u15323), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15324, tc_fun(_u15322, tc_HOL_Obool)), _u15325), _u15326))) | hBOOL(hAPP(hAPP(c_member(_u15322), _u15323), hAPP(_u15326, _u15327))) | ~hBOOL(hAPP(hAPP(c_member(_u15324), _u15327), _u15325)) )).
% 29.00/29.26 cnf(matrix-6657, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15328), _u15329), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15330, tc_fun(_u15328, tc_HOL_Obool)), _u15331), _u15332))) | ~hBOOL(hAPP(hAPP(c_member(_u15330), _u15333), _u15331)) | hBOOL(hAPP(hAPP(c_member(_u15328), _u15329), hAPP(_u15332, _u15333))) )).
% 29.00/29.26 cnf(matrix-6658, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15334, tc_fun(_u15335, tc_HOL_Obool)), _u15336), _u15337), _u15338)) | ~hBOOL(hAPP(hAPP(c_member(_u15334), _u15339), _u15336)) | hBOOL(hAPP(hAPP(_u15337, _u15339), _u15338)) )).
% 29.00/29.26 cnf(matrix-6659, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15340, tc_fun(_u15341, tc_HOL_Obool)), _u15342), _u15343), _u15344)) | hBOOL(hAPP(hAPP(_u15343, _u15345), _u15344)) | ~hBOOL(hAPP(hAPP(c_member(_u15340), _u15345), _u15342)) )).
% 29.00/29.26 cnf(matrix-6660, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15346, tc_fun(_u15347, tc_fun(_u15348, tc_HOL_Obool))), _u15349), _u15350), _u15351), _u15352)) | ~hBOOL(hAPP(hAPP(c_member(_u15346), _u15353), _u15349)) | hBOOL(hAPP(hAPP(hAPP(_u15350, _u15353), _u15351), _u15352)) )).
% 29.00/29.26 cnf(matrix-6661, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15354, tc_fun(_u15355, tc_fun(_u15356, tc_HOL_Obool))), _u15357), _u15358), _u15359), _u15360)) | hBOOL(hAPP(hAPP(hAPP(_u15358, _u15361), _u15359), _u15360)) | ~hBOOL(hAPP(hAPP(c_member(_u15354), _u15361), _u15357)) )).
% 29.00/29.26 cnf(matrix-6662, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15363), _u15362), _u15364)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15365), hAPP(_u15366, _u15362))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15365), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15363, tc_fun(_u15365, tc_HOL_Obool)), _u15364), _u15366))) )).
% 29.00/29.26 cnf(matrix-6663, plain, ( ~c_Fun_Oinj__on(_u15367, _u15368, _u15369, c_Orderings_Otop__class_Otop(tc_fun(_u15367, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u15367), tc_List_Olist(_u15368), hAPP(c_List_Omap(_u15367, _u15368), _u15369), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15367), tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6664, plain, ( ~class_Groups_Oab__group__add(_u15370) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15370), hAPP(hAPP(c_List_Omap(_u15371, _u15370), hAPP(hAPP(c_COMBS(_u15371, _u15370, _u15370), hAPP(hAPP(c_COMBB(_u15370, tc_fun(_u15370, _u15370), _u15371), c_Groups_Ominus__class_Ominus(_u15370)), _u15372)), _u15373)), _u15374)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u15370), hAPP(c_List_Omonoid__add__class_Olistsum(_u15370), hAPP(hAPP(c_List_Omap(_u15371, _u15370), _u15372), _u15374))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15370), hAPP(hAPP(c_List_Omap(_u15371, _u15370), _u15373), _u15374)))) )).
% 29.00/29.26 cnf(matrix-6665, plain, ( ~class_Groups_Omonoid__add(_u15375) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15375), hAPP(hAPP(c_List_Omap(_u15376, _u15375), hAPP(c_COMBK(_u15375, _u15376), c_Groups_Ozero__class_Ozero(_u15375))), _u15377)) = c_Groups_Ozero__class_Ozero(_u15375)) )).
% 29.00/29.26 cnf(matrix-6666, plain, ( ~class_Rings_Osemiring__0(_u15378) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15378), hAPP(hAPP(c_List_Omap(_u15379, _u15378), hAPP(hAPP(c_COMBB(_u15378, _u15378, _u15379), hAPP(c_Groups_Otimes__class_Otimes(_u15378), _u15380)), _u15381)), _u15382)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15378), _u15380), hAPP(c_List_Omonoid__add__class_Olistsum(_u15378), hAPP(hAPP(c_List_Omap(_u15379, _u15378), _u15381), _u15382)))) )).
% 29.00/29.26 cnf(matrix-6667, plain, ( ~class_Rings_Osemiring__0(_u15383) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15383), hAPP(hAPP(c_List_Omap(_u15384, _u15383), hAPP(hAPP(c_COMBC(_u15384, _u15383, _u15383), hAPP(hAPP(c_COMBB(_u15383, tc_fun(_u15383, _u15383), _u15384), c_Groups_Otimes__class_Otimes(_u15383)), _u15385)), _u15386)), _u15387)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15383), hAPP(c_List_Omonoid__add__class_Olistsum(_u15383), hAPP(hAPP(c_List_Omap(_u15384, _u15383), _u15385), _u15387))), _u15386)) )).
% 29.00/29.26 cnf(matrix-6668, plain, ( ~class_Groups_Ocomm__monoid__add(_u15388) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15388), hAPP(hAPP(c_List_Omap(_u15389, _u15388), hAPP(hAPP(c_COMBS(_u15389, _u15388, _u15388), hAPP(hAPP(c_COMBB(_u15388, tc_fun(_u15388, _u15388), _u15389), c_Groups_Oplus__class_Oplus(_u15388)), _u15390)), _u15391)), _u15392)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15388), hAPP(c_List_Omonoid__add__class_Olistsum(_u15388), hAPP(hAPP(c_List_Omap(_u15389, _u15388), _u15390), _u15392))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15388), hAPP(hAPP(c_List_Omap(_u15389, _u15388), _u15391), _u15392)))) )).
% 29.00/29.26 cnf(matrix-6669, plain, ( ( hAPP(hAPP(c_List_Omap(_u15393, _u15394), _u15395), hAPP(hAPP(c_List_Olist__update(_u15393, _u15396), _u15397), _u15398)) = hAPP(hAPP(c_List_Olist__update(_u15394, hAPP(hAPP(c_List_Omap(_u15393, _u15394), _u15395), _u15396)), _u15397), hAPP(_u15395, _u15398))) )).
% 29.00/29.26 cnf(matrix-6670, plain, ( ( hAPP(hAPP(c_List_Omap(_u15399, _u15400), _u15401), _u15402) != hAPP(hAPP(c_List_Omap(_u15403, _u15400), _u15404), _u15405)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15399)), _u15402) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15403)), _u15405)) )).
% 29.00/29.26 cnf(matrix-6671, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15406)), hAPP(hAPP(c_List_Omap(_u15407, _u15406), _u15408), _u15409)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15407)), _u15409)) )).
% 29.00/29.26 cnf(matrix-6672, plain, ( ( hAPP(hAPP(c_List_Omap(_u15410, _u15411), _u15412), c_List_Obutlast(_u15410, _u15413)) = c_List_Obutlast(_u15411, hAPP(hAPP(c_List_Omap(_u15410, _u15411), _u15412), _u15413))) )).
% 29.00/29.26 cnf(matrix-6673, plain, ( ( hAPP(c_List_Ofoldl(_u15414, _u15415, _u15416, _u15417), hAPP(hAPP(c_List_Omap(_u15418, _u15415), _u15419), _u15420)) = hAPP(c_List_Ofoldl(_u15414, _u15418, hAPP(hAPP(c_COMBC(_u15414, tc_fun(_u15418, _u15415), tc_fun(_u15418, _u15414)), hAPP(hAPP(c_COMBB(tc_fun(_u15415, _u15414), tc_fun(tc_fun(_u15418, _u15415), tc_fun(_u15418, _u15414)), _u15414), c_COMBB(_u15415, _u15414, _u15418)), _u15416)), _u15419), _u15417), _u15420)) )).
% 29.00/29.26 cnf(matrix-6674, plain, ( ( hAPP(c_List_Omap(_u15421, _u15421), c_COMBI(_u15421)) = c_Fun_Oid(tc_List_Olist(_u15421))) )).
% 29.00/29.26 cnf(matrix-6675, plain, ( ( hAPP(hAPP(c_List_Omap(_u15422, _u15423), _u15424), hAPP(hAPP(c_List_Omap(_u15425, _u15422), _u15426), _u15427)) = hAPP(hAPP(c_List_Omap(_u15425, _u15423), hAPP(c_Fun_Ocomp(_u15422, _u15423, _u15425, _u15424), _u15426)), _u15427)) )).
% 29.00/29.26 cnf(matrix-6676, plain, ( ( hAPP(hAPP(c_List_Omap(_u15428, _u15429), _u15430), hAPP(hAPP(c_List_Omap(_u15431, _u15428), _u15432), _u15433)) = hAPP(hAPP(c_List_Omap(_u15431, _u15429), hAPP(c_Fun_Ocomp(_u15428, _u15429, _u15431, _u15430), _u15432)), _u15433)) )).
% 29.00/29.26 cnf(matrix-6677, plain, ( ( hAPP(hAPP(c_List_Omap(_u15441, _u15443), _u15445), _u15447) != hAPP(hAPP(c_List_Omap(_u15441, _u15443), _u15449), _u15447)) | ~hBOOL(hAPP(hAPP(c_member(_u15441), _u15434), hAPP(c_List_Oset(_u15441), _u15447))) | ( hAPP(_u15445, _u15434) = hAPP(_u15449, _u15434)) )).
% 29.00/29.26 cnf(matrix-6678, plain, ( ( hAPP(hAPP(c_List_Omap(_u15442, _u15444), _u15446), _u15448) = hAPP(hAPP(c_List_Omap(_u15442, _u15444), _u15450), _u15448)) | hBOOL(hAPP(hAPP(c_member(_u15442), skolem362(_u15450, _u15448, _u15446, _u15444, _u15442)), hAPP(c_List_Oset(_u15442), _u15448))) )).
% 29.00/29.26 cnf(matrix-6679, plain, ( ( hAPP(hAPP(c_List_Omap(_u15442, _u15444), _u15446), _u15448) = hAPP(hAPP(c_List_Omap(_u15442, _u15444), _u15450), _u15448)) | ( hAPP(_u15446, skolem362(_u15450, _u15448, _u15446, _u15444, _u15442)) != hAPP(_u15450, skolem362(_u15450, _u15448, _u15446, _u15444, _u15442))) )).
% 29.00/29.26 cnf(matrix-6680, plain, ( ( hAPP(c_List_Oset(_u15451), hAPP(hAPP(c_List_Omap(_u15452, _u15451), _u15453), _u15454)) = hAPP(c_Set_Oimage(_u15452, _u15451, _u15453), hAPP(c_List_Oset(_u15452), _u15454))) )).
% 29.00/29.26 cnf(matrix-6681, plain, ( ( hAPP(hAPP(c_List_Omap(_u15455, _u15456), _u15457), hAPP(c_List_Otl(_u15455), _u15458)) = hAPP(c_List_Otl(_u15456), hAPP(hAPP(c_List_Omap(_u15455, _u15456), _u15457), _u15458))) )).
% 29.00/29.26 cnf(matrix-6682, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15459, _u15459), _u15460), _u15460) = hAPP(hAPP(c_List_Omap(_u15459, tc_prod(_u15459, _u15459)), hAPP(hAPP(c_COMBS(_u15459, _u15459, tc_prod(_u15459, _u15459)), c_Product__Type_OPair(_u15459, _u15459)), c_COMBI(_u15459))), _u15460)) )).
% 29.00/29.26 cnf(matrix-6683, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15461, _u15462), hAPP(hAPP(c_List_Omap(_u15463, _u15461), _u15464), _u15465)), hAPP(hAPP(c_List_Omap(_u15466, _u15462), _u15467), _u15468)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15463, _u15466), tc_prod(_u15461, _u15462)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15463, _u15466, tc_prod(_u15461, _u15462)), hAPP(hAPP(c_COMBC(_u15463, tc_fun(_u15466, _u15462), tc_fun(_u15466, tc_prod(_u15461, _u15462))), hAPP(hAPP(c_COMBB(tc_fun(_u15462, tc_prod(_u15461, _u15462)), tc_fun(tc_fun(_u15466, _u15462), tc_fun(_u15466, tc_prod(_u15461, _u15462))), _u15463), c_COMBB(_u15462, tc_prod(_u15461, _u15462), _u15466)), hAPP(hAPP(c_COMBB(_u15461, tc_fun(_u15462, tc_prod(_u15461, _u15462)), _u15463), c_Product__Type_OPair(_u15461, _u15462)), _u15464))), _u15467))), hAPP(hAPP(c_List_Ozip(_u15463, _u15466), _u15465), _u15468))) )).
% 29.00/29.26 cnf(matrix-6684, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15469, _u15470), hAPP(hAPP(c_List_Omap(_u15471, _u15469), _u15472), _u15473)), _u15474) = hAPP(hAPP(c_List_Omap(tc_prod(_u15471, _u15470), tc_prod(_u15469, _u15470)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15471, _u15470, tc_prod(_u15469, _u15470)), hAPP(hAPP(c_COMBB(_u15469, tc_fun(_u15470, tc_prod(_u15469, _u15470)), _u15471), c_Product__Type_OPair(_u15469, _u15470)), _u15472))), hAPP(hAPP(c_List_Ozip(_u15471, _u15470), _u15473), _u15474))) )).
% 29.00/29.26 cnf(matrix-6685, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u15475, _u15476), _u15477), _u15478), hAPP(hAPP(c_List_Ozip(_u15475, _u15476), hAPP(hAPP(c_List_Omap(_u15479, _u15475), _u15480), _u15481)), _u15482)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15479, _u15476), _u15477), hAPP(c_Product__Type_Oprod_Oprod__case(_u15479, _u15476, _u15477), hAPP(hAPP(c_COMBB(tc_fun(_u15476, tc_prod(_u15475, _u15476)), tc_fun(_u15476, _u15477), _u15479), hAPP(c_COMBB(tc_prod(_u15475, _u15476), _u15477, _u15476), _u15478)), hAPP(hAPP(c_COMBB(_u15475, tc_fun(_u15476, tc_prod(_u15475, _u15476)), _u15479), c_Product__Type_OPair(_u15475, _u15476)), _u15480)))), hAPP(hAPP(c_List_Ozip(_u15479, _u15476), _u15481), _u15482))) )).
% 29.00/29.26 cnf(matrix-6686, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u15483, _u15484), _u15485), _u15486), hAPP(hAPP(c_List_Ozip(_u15483, _u15484), _u15487), hAPP(hAPP(c_List_Omap(_u15488, _u15484), _u15489), _u15490))) = hAPP(hAPP(c_List_Omap(tc_prod(_u15483, _u15488), _u15485), hAPP(c_Product__Type_Oprod_Oprod__case(_u15483, _u15488, _u15485), hAPP(hAPP(c_COMBB(tc_fun(_u15488, tc_prod(_u15483, _u15484)), tc_fun(_u15488, _u15485), _u15483), hAPP(c_COMBB(tc_prod(_u15483, _u15484), _u15485, _u15488), _u15486)), hAPP(hAPP(c_COMBC(_u15483, tc_fun(_u15488, _u15484), tc_fun(_u15488, tc_prod(_u15483, _u15484))), hAPP(hAPP(c_COMBB(tc_fun(_u15484, tc_prod(_u15483, _u15484)), tc_fun(tc_fun(_u15488, _u15484), tc_fun(_u15488, tc_prod(_u15483, _u15484))), _u15483), c_COMBB(_u15484, tc_prod(_u15483, _u15484), _u15488)), c_Product__Type_OPair(_u15483, _u15484))), _u15489)))), hAPP(hAPP(c_List_Ozip(_u15483, _u15488), _u15487), _u15490))) )).
% 29.00/29.26 cnf(matrix-6687, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15491, _u15492), _u15493), hAPP(hAPP(c_List_Omap(_u15494, _u15492), _u15495), _u15496)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15491, _u15494), tc_prod(_u15491, _u15492)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15491, _u15494, tc_prod(_u15491, _u15492)), hAPP(hAPP(c_COMBC(_u15491, tc_fun(_u15494, _u15492), tc_fun(_u15494, tc_prod(_u15491, _u15492))), hAPP(hAPP(c_COMBB(tc_fun(_u15492, tc_prod(_u15491, _u15492)), tc_fun(tc_fun(_u15494, _u15492), tc_fun(_u15494, tc_prod(_u15491, _u15492))), _u15491), c_COMBB(_u15492, tc_prod(_u15491, _u15492), _u15494)), c_Product__Type_OPair(_u15491, _u15492))), _u15495))), hAPP(hAPP(c_List_Ozip(_u15491, _u15494), _u15493), _u15496))) )).
% 29.00/29.26 cnf(matrix-6688, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15503, tc_fun(_u15505, tc_fun(_u15507, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15503, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_fun(_u15505, tc_fun(_u15507, tc_HOL_Obool)), _u15503), hAPP(c_COMBC(_u15505, tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_fun(_u15507, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15507, tc_fun(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_fun(_u15507, tc_HOL_Obool)), _u15505), c_COMBC(_u15507, tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15507, tc_prod(_u15505, _u15507)), tc_fun(_u15507, tc_fun(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_HOL_Obool)), _u15505), hAPP(c_COMBB(tc_prod(_u15505, _u15507), tc_fun(tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool), tc_HOL_Obool), _u15507), c_member(tc_prod(_u15505, _u15507)))), c_Product__Type_OPair(_u15505, _u15507))))), _u15509)), _u15511), _u15513)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15505, _u15507)), hAPP(hAPP(c_Product__Type_OPair(_u15505, _u15507), _u15511), _u15513)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15503, tc_fun(tc_prod(_u15505, _u15507), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15503, tc_HOL_Obool))), _u15509))) )).
% 29.00/29.26 cnf(matrix-6689, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15506, _u15508)), hAPP(hAPP(c_Product__Type_OPair(_u15506, _u15508), _u15512), _u15514)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15504, tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15504, tc_HOL_Obool))), _u15510))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15504, tc_fun(_u15506, tc_fun(_u15508, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u15504, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_fun(_u15506, tc_fun(_u15508, tc_HOL_Obool)), _u15504), hAPP(c_COMBC(_u15506, tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_fun(_u15508, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15508, tc_fun(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_fun(_u15508, tc_HOL_Obool)), _u15506), c_COMBC(_u15508, tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15508, tc_prod(_u15506, _u15508)), tc_fun(_u15508, tc_fun(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_HOL_Obool)), _u15506), hAPP(c_COMBB(tc_prod(_u15506, _u15508), tc_fun(tc_fun(tc_prod(_u15506, _u15508), tc_HOL_Obool), tc_HOL_Obool), _u15508), c_member(tc_prod(_u15506, _u15508)))), c_Product__Type_OPair(_u15506, _u15508))))), _u15510)), _u15512), _u15514)) )).
% 29.00/29.26 cnf(matrix-6690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15522, tc_HOL_Obool)), _u15524), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15526, tc_fun(_u15522, tc_HOL_Obool)), _u15528), _u15530))) | ~hBOOL(hAPP(hAPP(c_member(_u15526), _u15515), _u15528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15522, tc_HOL_Obool)), _u15524), hAPP(_u15530, _u15515))) )).
% 29.00/29.26 cnf(matrix-6691, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15523, tc_HOL_Obool)), _u15525), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15527, tc_fun(_u15523, tc_HOL_Obool)), _u15529), _u15531))) | hBOOL(hAPP(hAPP(c_member(_u15527), skolem363(_u15531, _u15529, _u15527, _u15525, _u15523)), _u15529)) )).
% 29.00/29.26 cnf(matrix-6692, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15523, tc_HOL_Obool)), _u15525), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15527, tc_fun(_u15523, tc_HOL_Obool)), _u15529), _u15531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15523, tc_HOL_Obool)), _u15525), hAPP(_u15531, skolem363(_u15531, _u15529, _u15527, _u15525, _u15523)))) )).
% 29.00/29.26 cnf(matrix-6693, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15536, _u15534), _u15537), _u15538))) | ~hBOOL(hAPP(hAPP(c_member(_u15536), _u15532), _u15537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(_u15538, _u15532))) )).
% 29.00/29.26 cnf(matrix-6694, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15536, _u15534), _u15537), _u15538))) | hBOOL(hAPP(hAPP(c_member(_u15536), skolem364(_u15538, _u15537, _u15536, _u15535, _u15534)), _u15537)) )).
% 29.00/29.26 cnf(matrix-6695, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15536, _u15534), _u15537), _u15538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15534), _u15535), hAPP(_u15538, skolem364(_u15538, _u15537, _u15536, _u15535, _u15534)))) )).
% 29.00/29.26 cnf(matrix-6696, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15539), _u15540), _u15541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15542, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15539, tc_fun(_u15542, tc_HOL_Obool)), _u15541), _u15543)), hAPP(_u15543, _u15540))) )).
% 29.00/29.26 cnf(matrix-6697, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15548, tc_fun(_u15550, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15548, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15550, tc_HOL_Obool), tc_fun(_u15550, tc_HOL_Obool), _u15548), hAPP(c_COMBC(_u15550, tc_fun(_u15550, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15550))), _u15552)), _u15554)) | hBOOL(hAPP(hAPP(c_member(_u15550), _u15554), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15548, tc_fun(_u15550, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15548, tc_HOL_Obool))), _u15552))) )).
% 29.00/29.26 cnf(matrix-6698, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15551), _u15555), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15549, tc_fun(_u15551, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15549, tc_HOL_Obool))), _u15553))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15549, tc_fun(_u15551, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15549, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15551, tc_HOL_Obool), tc_fun(_u15551, tc_HOL_Obool), _u15549), hAPP(c_COMBC(_u15551, tc_fun(_u15551, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15551))), _u15553)), _u15555)) )).
% 29.00/29.26 cnf(matrix-6699, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15562, tc_fun(_u15564, tc_HOL_Obool)), _u15566), _u15568) != c_Orderings_Otop__class_Otop(tc_fun(_u15564, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u15562), _u15556), _u15566)) | ( hAPP(_u15568, _u15556) = c_Orderings_Otop__class_Otop(tc_fun(_u15564, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6700, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15563, tc_fun(_u15565, tc_HOL_Obool)), _u15567), _u15569) = c_Orderings_Otop__class_Otop(tc_fun(_u15565, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u15563), skolem365(_u15569, _u15567, _u15565, _u15563)), _u15567)) )).
% 29.00/29.26 cnf(matrix-6701, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15563, tc_fun(_u15565, tc_HOL_Obool)), _u15567), _u15569) = c_Orderings_Otop__class_Otop(tc_fun(_u15565, tc_HOL_Obool))) | ( hAPP(_u15569, skolem365(_u15569, _u15567, _u15565, _u15563)) != c_Orderings_Otop__class_Otop(tc_fun(_u15565, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6702, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u15576, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15578, tc_fun(_u15576, tc_HOL_Obool)), _u15580), _u15582)) | ~hBOOL(hAPP(hAPP(c_member(_u15578), _u15570), _u15580)) | ( hAPP(_u15582, _u15570) = c_Orderings_Otop__class_Otop(tc_fun(_u15576, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6703, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u15577, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15579, tc_fun(_u15577, tc_HOL_Obool)), _u15581), _u15583)) | hBOOL(hAPP(hAPP(c_member(_u15579), skolem366(_u15583, _u15581, _u15579, _u15577)), _u15581)) )).
% 29.00/29.26 cnf(matrix-6704, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u15577, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15579, tc_fun(_u15577, tc_HOL_Obool)), _u15581), _u15583)) | ( hAPP(_u15583, skolem366(_u15583, _u15581, _u15579, _u15577)) != c_Orderings_Otop__class_Otop(tc_fun(_u15577, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6705, plain, ( ( hAPP(hAPP(c_List_Omap(_u15584, _u15585), _u15586), _u15587) != hAPP(hAPP(c_List_Omap(_u15584, _u15585), _u15586), _u15588)) | ~c_Fun_Oinj__on(_u15584, _u15585, _u15586, c_Orderings_Otop__class_Otop(tc_fun(_u15584, tc_HOL_Obool))) | ( _u15587 = _u15588) )).
% 29.00/29.26 cnf(matrix-6706, plain, ( ~c_Fun_Oinj__on(_u15589, _u15590, _u15591, c_Orderings_Otop__class_Otop(tc_fun(_u15589, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u15589, _u15590), _u15591), _u15592) != hAPP(hAPP(c_List_Omap(_u15589, _u15590), _u15591), _u15593)) | ( _u15592 = _u15593) )).
% 29.00/29.26 cnf(matrix-6707, plain, ( ~c_Fun_Oinj__on(_u15589, _u15590, _u15591, c_Orderings_Otop__class_Otop(tc_fun(_u15589, tc_HOL_Obool))) | ( _u15592 != _u15593) | ( hAPP(hAPP(c_List_Omap(_u15589, _u15590), _u15591), _u15592) = hAPP(hAPP(c_List_Omap(_u15589, _u15590), _u15591), _u15593)) )).
% 29.00/29.26 cnf(matrix-6708, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15594, tc_fun(_u15595, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u15594, tc_HOL_Obool))), _u15596) = c_Orderings_Otop__class_Otop(tc_fun(_u15595, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6709, plain, ( ( _u15601 != c_Orderings_Obot__class_Obot(tc_fun(_u15603, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15603, tc_fun(_u15605, tc_HOL_Obool)), _u15601), hAPP(c_COMBK(tc_fun(_u15605, tc_HOL_Obool), _u15603), _u15607)) = c_Orderings_Otop__class_Otop(tc_fun(_u15605, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6710, plain, ( ( _u15602 = c_Orderings_Obot__class_Obot(tc_fun(_u15604, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15604, tc_fun(_u15606, tc_HOL_Obool)), _u15602), hAPP(c_COMBK(tc_fun(_u15606, tc_HOL_Obool), _u15604), _u15608)) = _u15608) )).
% 29.00/29.26 cnf(matrix-6711, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15609, tc_fun(_u15610, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15609, tc_HOL_Obool)), _u15611), _u15612)), _u15613) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15610, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15609, tc_fun(_u15610, tc_HOL_Obool)), _u15611), _u15613)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15609, tc_fun(_u15610, tc_HOL_Obool)), _u15612), _u15613))) )).
% 29.00/29.26 cnf(matrix-6712, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15614), _u15615), _u15616)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15614, tc_fun(_u15617, tc_HOL_Obool)), _u15616), hAPP(hAPP(c_COMBB(tc_fun(_u15617, tc_HOL_Obool), tc_fun(_u15617, tc_HOL_Obool), _u15614), hAPP(c_Set_Oinsert(_u15617), _u15618)), _u15619)) = hAPP(hAPP(c_Set_Oinsert(_u15617), _u15618), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15614, tc_fun(_u15617, tc_HOL_Obool)), _u15616), _u15619))) )).
% 29.00/29.26 cnf(matrix-6713, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u15620), _u15621), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15622, tc_fun(_u15620, tc_HOL_Obool)), _u15623), _u15624)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15622, tc_fun(_u15620, tc_HOL_Obool)), _u15623), hAPP(hAPP(c_COMBB(tc_fun(_u15620, tc_HOL_Obool), tc_fun(_u15620, tc_HOL_Obool), _u15622), hAPP(c_Set_Oinsert(_u15620), _u15621)), _u15624))) )).
% 29.00/29.26 cnf(matrix-6714, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15625, tc_fun(_u15626, tc_HOL_Obool)), _u15627), hAPP(hAPP(c_COMBB(tc_fun(_u15626, tc_HOL_Obool), tc_fun(_u15626, tc_HOL_Obool), _u15625), hAPP(c_Set_Oinsert(_u15626), _u15628)), _u15629)) = hAPP(hAPP(c_Set_Oinsert(_u15626), _u15628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15625, tc_fun(_u15626, tc_HOL_Obool)), _u15627), _u15629))) )).
% 29.00/29.26 cnf(matrix-6715, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15630) | ( _u15631 = c_Orderings_Obot__class_Obot(tc_fun(_u15632, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15632, _u15630), _u15631), hAPP(c_COMBK(_u15630, _u15632), _u15633)) = _u15633) )).
% 29.00/29.26 cnf(matrix-6716, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15634, tc_fun(_u15635, tc_HOL_Obool)), _u15636), hAPP(hAPP(c_COMBB(_u15637, tc_fun(_u15635, tc_HOL_Obool), _u15634), _u15638), _u15639)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15637, tc_fun(_u15635, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u15634, _u15637, _u15639), _u15636)), _u15638)) )).
% 29.00/29.26 cnf(matrix-6717, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15640, tc_fun(_u15641, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u15642, _u15640, _u15643), _u15644)), _u15645) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15642, tc_fun(_u15641, tc_HOL_Obool)), _u15644), hAPP(hAPP(c_COMBB(_u15640, tc_fun(_u15641, tc_HOL_Obool), _u15642), _u15645), _u15643))) )).
% 29.00/29.26 cnf(matrix-6718, plain, ( ( _u15651 != c_Orderings_Obot__class_Obot(tc_fun(_u15653, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15655, tc_HOL_Obool)), _u15657), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15653, tc_fun(_u15655, tc_HOL_Obool)), _u15651), _u15659)) = _u15657) )).
% 29.00/29.26 cnf(matrix-6719, plain, ( ( _u15652 = c_Orderings_Obot__class_Obot(tc_fun(_u15654, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15656, tc_HOL_Obool)), _u15658), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15654, tc_fun(_u15656, tc_HOL_Obool)), _u15652), _u15660)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15654, tc_fun(_u15656, tc_HOL_Obool)), _u15652), hAPP(hAPP(c_COMBB(tc_fun(_u15656, tc_HOL_Obool), tc_fun(_u15656, tc_HOL_Obool), _u15654), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15656, tc_HOL_Obool)), _u15658)), _u15660))) )).
% 29.00/29.26 cnf(matrix-6720, plain, ( ( _u15666 != c_Orderings_Obot__class_Obot(tc_fun(_u15668, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15670, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15668, tc_fun(_u15670, tc_HOL_Obool)), _u15666), _u15672)), _u15674) = _u15674) )).
% 29.00/29.26 cnf(matrix-6721, plain, ( ( _u15667 = c_Orderings_Obot__class_Obot(tc_fun(_u15669, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15671, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15669, tc_fun(_u15671, tc_HOL_Obool)), _u15667), _u15673)), _u15675) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15669, tc_fun(_u15671, tc_HOL_Obool)), _u15667), hAPP(hAPP(c_COMBC(_u15669, tc_fun(_u15671, tc_HOL_Obool), tc_fun(_u15671, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15671, tc_HOL_Obool), tc_fun(tc_fun(_u15671, tc_HOL_Obool), tc_fun(_u15671, tc_HOL_Obool)), _u15669), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15671, tc_HOL_Obool))), _u15673)), _u15675))) )).
% 29.00/29.26 cnf(matrix-6722, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15676, tc_fun(_u15677, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u15676), _u15678), _u15679)), _u15680) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15677, tc_HOL_Obool)), hAPP(_u15680, _u15678)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15676, tc_fun(_u15677, tc_HOL_Obool)), _u15679), _u15680))) )).
% 29.00/29.26 cnf(matrix-6723, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15681, tc_fun(_u15682, tc_HOL_Obool)), _u15683), hAPP(hAPP(c_COMBS(_u15681, tc_fun(_u15682, tc_HOL_Obool), tc_fun(_u15682, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15682, tc_HOL_Obool), tc_fun(tc_fun(_u15682, tc_HOL_Obool), tc_fun(_u15682, tc_HOL_Obool)), _u15681), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15682, tc_HOL_Obool))), _u15684)), _u15685)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15682, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15681, tc_fun(_u15682, tc_HOL_Obool)), _u15683), _u15684)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15681, tc_fun(_u15682, tc_HOL_Obool)), _u15683), _u15685))) )).
% 29.00/29.26 cnf(matrix-6724, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15686, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15687, tc_fun(_u15686, tc_HOL_Obool)), _u15688), _u15689)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15690, tc_fun(_u15686, tc_HOL_Obool)), _u15691), _u15692)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15687, tc_fun(_u15686, tc_HOL_Obool)), _u15688), hAPP(hAPP(c_COMBB(tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool)), tc_fun(_u15686, tc_HOL_Obool), _u15687), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15690, tc_fun(_u15686, tc_HOL_Obool)), _u15691)), hAPP(hAPP(c_COMBC(_u15687, tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool)), tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15686, tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool)), tc_fun(tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool)), tc_fun(_u15690, tc_fun(_u15686, tc_HOL_Obool))), _u15687), c_COMBB(tc_fun(_u15686, tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool), _u15690)), hAPP(hAPP(c_COMBB(tc_fun(_u15686, tc_HOL_Obool), tc_fun(tc_fun(_u15686, tc_HOL_Obool), tc_fun(_u15686, tc_HOL_Obool)), _u15687), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15686, tc_HOL_Obool))), _u15689))), _u15692)))) )).
% 29.00/29.26 cnf(matrix-6725, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15693, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15694, tc_fun(_u15693, tc_HOL_Obool)), _u15695), _u15696)), _u15697) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15694, tc_fun(_u15693, tc_HOL_Obool)), _u15695), hAPP(hAPP(c_COMBC(_u15694, tc_fun(_u15693, tc_HOL_Obool), tc_fun(_u15693, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15693, tc_HOL_Obool), tc_fun(tc_fun(_u15693, tc_HOL_Obool), tc_fun(_u15693, tc_HOL_Obool)), _u15694), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15693, tc_HOL_Obool))), _u15696)), _u15697))) )).
% 29.00/29.26 cnf(matrix-6726, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15698, tc_HOL_Obool)), _u15699), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15700, tc_fun(_u15698, tc_HOL_Obool)), _u15701), _u15702)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15700, tc_fun(_u15698, tc_HOL_Obool)), _u15701), hAPP(hAPP(c_COMBB(tc_fun(_u15698, tc_HOL_Obool), tc_fun(_u15698, tc_HOL_Obool), _u15700), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15698, tc_HOL_Obool)), _u15699)), _u15702))) )).
% 29.00/29.26 cnf(matrix-6727, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15703, tc_HOL_Obool)), _u15704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15705, tc_fun(_u15703, tc_HOL_Obool)), _u15706), _u15707)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15705, tc_fun(_u15703, tc_HOL_Obool)), _u15706), hAPP(hAPP(c_COMBB(tc_fun(_u15703, tc_HOL_Obool), tc_fun(_u15703, tc_HOL_Obool), _u15705), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15703, tc_HOL_Obool)), _u15704)), _u15707))) )).
% 29.00/29.26 cnf(matrix-6728, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15708, tc_fun(_u15709, tc_HOL_Obool)), _u15710), hAPP(hAPP(c_COMBC(_u15708, tc_fun(_u15709, tc_HOL_Obool), tc_fun(_u15709, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15709, tc_HOL_Obool), tc_fun(tc_fun(_u15709, tc_HOL_Obool), tc_fun(_u15709, tc_HOL_Obool)), _u15708), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15709, tc_HOL_Obool))), _u15711)), _u15712)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15709, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15708, tc_fun(_u15709, tc_HOL_Obool)), _u15710), _u15711)), _u15712)) )).
% 29.00/29.26 cnf(matrix-6729, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15713, tc_fun(_u15714, tc_HOL_Obool)), _u15715), hAPP(hAPP(c_COMBB(tc_fun(_u15714, tc_HOL_Obool), tc_fun(_u15714, tc_HOL_Obool), _u15713), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15714, tc_HOL_Obool)), _u15716)), _u15717)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15714, tc_HOL_Obool)), _u15716), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15713, tc_fun(_u15714, tc_HOL_Obool)), _u15715), _u15717))) )).
% 29.00/29.26 cnf(matrix-6730, plain, ( ( hAPP(c_Set_Ovimage(_u15718, _u15719, _u15720), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15721, tc_fun(_u15719, tc_HOL_Obool)), _u15722), _u15723)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15721, tc_fun(_u15718, tc_HOL_Obool)), _u15722), hAPP(hAPP(c_COMBB(tc_fun(_u15719, tc_HOL_Obool), tc_fun(_u15718, tc_HOL_Obool), _u15721), c_Set_Ovimage(_u15718, _u15719, _u15720)), _u15723))) )).
% 29.00/29.26 cnf(matrix-6731, plain, ( ( hAPP(hAPP(c_List_Omap(_u15724, _u15724), c_COMBI(_u15724)), _u15725) = _u15725) )).
% 29.00/29.26 cnf(matrix-6732, plain, ( ( hAPP(c_Set_OPow(_u15726), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15727, tc_fun(_u15726, tc_HOL_Obool)), _u15728), _u15729)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15727, tc_fun(tc_fun(_u15726, tc_HOL_Obool), tc_HOL_Obool)), _u15728), hAPP(hAPP(c_COMBB(tc_fun(_u15726, tc_HOL_Obool), tc_fun(tc_fun(_u15726, tc_HOL_Obool), tc_HOL_Obool), _u15727), c_Set_OPow(_u15726)), _u15729))) )).
% 29.00/29.26 cnf(matrix-6733, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15730) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15731, _u15730), _u15732), hAPP(hAPP(c_COMBB(tc_fun(_u15733, _u15730), _u15730, _u15731), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15733, _u15730), _u15734)), _u15735)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15733, _u15730), _u15734), hAPP(hAPP(c_COMBB(tc_fun(_u15731, _u15730), _u15730, _u15733), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15731, _u15730), _u15732)), hAPP(c_COMBC(_u15731, _u15733, _u15730), _u15735)))) )).
% 29.00/29.26 cnf(matrix-6734, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15736) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15737, tc_fun(_u15738, _u15736)), _u15739), _u15740), _u15741) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15737, _u15736), _u15739), hAPP(hAPP(c_COMBC(_u15737, _u15738, _u15736), _u15740), _u15741))) )).
% 29.00/29.26 cnf(matrix-6735, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15744) | ~class_Orderings_Olinorder(_u15744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15745, _u15744), _u15746), _u15747)), _u15748)) | hBOOL(hAPP(hAPP(c_member(_u15745), skolem367(_u15748, _u15747, _u15746, _u15745, _u15744)), _u15746)) )).
% 29.00/29.26 cnf(matrix-6736, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15744) | ~class_Orderings_Olinorder(_u15744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15745, _u15744), _u15746), _u15747)), _u15748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(_u15747, skolem367(_u15748, _u15747, _u15746, _u15745, _u15744))), _u15748)) )).
% 29.00/29.26 cnf(matrix-6737, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15744) | ~class_Orderings_Olinorder(_u15744) | ~hBOOL(hAPP(hAPP(c_member(_u15745), _u15743), _u15746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(_u15747, _u15743)), _u15748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15744), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15745, _u15744), _u15746), _u15747)), _u15748)) )).
% 29.00/29.26 cnf(matrix-6738, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15749, tc_fun(_u15750, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15751, tc_fun(_u15749, tc_HOL_Obool)), _u15752), _u15753)), _u15754) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15751, tc_fun(_u15750, tc_HOL_Obool)), _u15752), hAPP(hAPP(c_COMBC(_u15751, tc_fun(_u15749, tc_fun(_u15750, tc_HOL_Obool)), tc_fun(_u15750, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15749, tc_HOL_Obool), tc_fun(tc_fun(_u15749, tc_fun(_u15750, tc_HOL_Obool)), tc_fun(_u15750, tc_HOL_Obool)), _u15751), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15749, tc_fun(_u15750, tc_HOL_Obool))), _u15753)), _u15754))) )).
% 29.00/29.26 cnf(matrix-6739, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15755, tc_fun(_u15756, tc_HOL_Obool)), _u15757), hAPP(hAPP(c_COMBC(_u15755, tc_fun(_u15758, tc_fun(_u15756, tc_HOL_Obool)), tc_fun(_u15756, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15758, tc_HOL_Obool), tc_fun(tc_fun(_u15758, tc_fun(_u15756, tc_HOL_Obool)), tc_fun(_u15756, tc_HOL_Obool)), _u15755), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15758, tc_fun(_u15756, tc_HOL_Obool))), _u15759)), _u15760)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15758, tc_fun(_u15756, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15755, tc_fun(_u15758, tc_HOL_Obool)), _u15757), _u15759)), _u15760)) )).
% 29.00/29.26 cnf(matrix-6740, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15768), _u15770), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15772, tc_fun(_u15768, tc_HOL_Obool)), _u15774), _u15776))) | ~hBOOL(hAPP(hAPP(c_member(_u15772), _u15761), _u15774)) | hBOOL(hAPP(hAPP(c_member(_u15768), _u15770), hAPP(_u15776, _u15761))) )).
% 29.00/29.26 cnf(matrix-6741, plain, ( hBOOL(hAPP(hAPP(c_member(_u15769), _u15771), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15773, tc_fun(_u15769, tc_HOL_Obool)), _u15775), _u15777))) | hBOOL(hAPP(hAPP(c_member(_u15773), skolem368(_u15777, _u15775, _u15773, _u15771, _u15769)), _u15775)) )).
% 29.00/29.26 cnf(matrix-6742, plain, ( hBOOL(hAPP(hAPP(c_member(_u15769), _u15771), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15773, tc_fun(_u15769, tc_HOL_Obool)), _u15775), _u15777))) | ~hBOOL(hAPP(hAPP(c_member(_u15769), _u15771), hAPP(_u15777, skolem368(_u15777, _u15775, _u15773, _u15771, _u15769)))) )).
% 29.00/29.26 cnf(matrix-6743, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15778), _u15779), _u15780)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15781, tc_HOL_Obool)), hAPP(_u15782, _u15779)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15778, tc_fun(_u15781, tc_HOL_Obool)), _u15780), _u15782)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15778, tc_fun(_u15781, tc_HOL_Obool)), _u15780), _u15782)) )).
% 29.00/29.26 cnf(matrix-6744, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15783, tc_fun(_u15784, tc_HOL_Obool)), _u15785), hAPP(hAPP(c_COMBB(tc_fun(_u15784, tc_HOL_Obool), tc_fun(_u15784, tc_HOL_Obool), _u15783), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15784, tc_HOL_Obool)), _u15786)), _u15787)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15784, tc_HOL_Obool)), _u15786), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15783, tc_fun(_u15784, tc_HOL_Obool)), _u15785), _u15787))) )).
% 29.00/29.26 cnf(matrix-6745, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15788, tc_HOL_Obool)), _u15789), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15790, tc_fun(_u15788, tc_HOL_Obool)), _u15791), _u15792)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15790, tc_fun(_u15788, tc_HOL_Obool)), _u15791), hAPP(hAPP(c_COMBB(tc_fun(_u15788, tc_HOL_Obool), tc_fun(_u15788, tc_HOL_Obool), _u15790), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15788, tc_HOL_Obool)), _u15789)), _u15792))) )).
% 29.00/29.26 cnf(matrix-6746, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15793, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u15794, _u15793, _u15795), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15796, tc_fun(_u15794, tc_HOL_Obool)), _u15797), _u15798))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15796, tc_fun(_u15793, tc_HOL_Obool)), _u15797), hAPP(hAPP(c_COMBB(tc_fun(_u15794, tc_HOL_Obool), tc_fun(_u15793, tc_HOL_Obool), _u15796), c_Relation_OImage(_u15794, _u15793, _u15795)), _u15798)))) )).
% 29.00/29.26 cnf(matrix-6747, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15799, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15800, tc_fun(_u15799, tc_HOL_Obool)), _u15801), _u15802)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15800, tc_fun(_u15799, tc_HOL_Obool)), _u15801), hAPP(hAPP(c_COMBB(tc_fun(_u15799, tc_HOL_Obool), tc_fun(_u15799, tc_HOL_Obool), _u15800), c_Groups_Ouminus__class_Ouminus(tc_fun(_u15799, tc_HOL_Obool))), _u15802))) )).
% 29.00/29.26 cnf(matrix-6748, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u15803, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15804, tc_fun(_u15803, tc_HOL_Obool)), _u15805), _u15806)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15804, tc_fun(_u15803, tc_HOL_Obool)), _u15805), hAPP(hAPP(c_COMBB(tc_fun(_u15803, tc_HOL_Obool), tc_fun(_u15803, tc_HOL_Obool), _u15804), c_Groups_Ouminus__class_Ouminus(tc_fun(_u15803, tc_HOL_Obool))), _u15806))) )).
% 29.00/29.26 cnf(matrix-6749, plain, ( ( hAPP(hAPP(c_List_Otake(_u15807), _u15808), hAPP(hAPP(c_List_Omap(_u15809, _u15807), _u15810), _u15811)) = hAPP(hAPP(c_List_Omap(_u15809, _u15807), _u15810), hAPP(hAPP(c_List_Otake(_u15809), _u15808), _u15811))) )).
% 29.00/29.26 cnf(matrix-6750, plain, ( ( hAPP(hAPP(c_List_Omap(_u15812, _u15813), _u15814), hAPP(hAPP(c_List_Oappend(_u15812), _u15815), _u15816)) = hAPP(hAPP(c_List_Oappend(_u15813), hAPP(hAPP(c_List_Omap(_u15812, _u15813), _u15814), _u15815)), hAPP(hAPP(c_List_Omap(_u15812, _u15813), _u15814), _u15816))) )).
% 29.00/29.26 cnf(matrix-6751, plain, ( ( hAPP(hAPP(c_List_Odrop(_u15817), _u15818), hAPP(hAPP(c_List_Omap(_u15819, _u15817), _u15820), _u15821)) = hAPP(hAPP(c_List_Omap(_u15819, _u15817), _u15820), hAPP(hAPP(c_List_Odrop(_u15819), _u15818), _u15821))) )).
% 29.00/29.26 cnf(matrix-6752, plain, ( ( hAPP(c_Set_OCollect(_u15822), hAPP(hAPP(c_COMBB(tc_fun(_u15823, tc_HOL_Obool), tc_HOL_Obool, _u15822), c_HOL_OAll(_u15823)), hAPP(hAPP(c_COMBB(tc_fun(_u15823, tc_HOL_Obool), tc_fun(_u15823, tc_HOL_Obool), _u15822), hAPP(c_COMBS(_u15823, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15823), c_fimplies), hAPP(hAPP(c_COMBC(_u15823, tc_fun(_u15823, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15823)), _u15824)))), _u15825))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15823, tc_fun(_u15822, tc_HOL_Obool)), _u15824), hAPP(hAPP(c_COMBB(tc_fun(_u15822, tc_HOL_Obool), tc_fun(_u15822, tc_HOL_Obool), _u15823), c_Set_OCollect(_u15822)), hAPP(c_COMBC(_u15822, _u15823, tc_HOL_Obool), _u15825)))) )).
% 29.00/29.26 cnf(matrix-6753, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15826, tc_HOL_Obool) = c_Set_OBall(_u15826)) )).
% 29.00/29.26 cnf(matrix-6754, plain, ( ( hAPP(c_List_Orotate(_u15827, _u15828), hAPP(hAPP(c_List_Omap(_u15829, _u15827), _u15830), _u15831)) = hAPP(hAPP(c_List_Omap(_u15829, _u15827), _u15830), hAPP(c_List_Orotate(_u15829, _u15828), _u15831))) )).
% 29.00/29.26 cnf(matrix-6755, plain, ( ( hAPP(hAPP(c_List_Omap(_u15832, _u15833), _u15834), hAPP(hAPP(c_List_Olist_OCons(_u15832), _u15835), _u15836)) = hAPP(hAPP(c_List_Olist_OCons(_u15833), hAPP(_u15834, _u15835)), hAPP(hAPP(c_List_Omap(_u15832, _u15833), _u15834), _u15836))) )).
% 29.00/29.26 cnf(matrix-6756, plain, ( ( _u15847 = c_List_Olist_ONil(_u15843)) | ( c_List_Olist_ONil(_u15841) != hAPP(hAPP(c_List_Omap(_u15843, _u15841), _u15845), _u15847)) )).
% 29.00/29.26 cnf(matrix-6757, plain, ( ( _u15848 != c_List_Olist_ONil(_u15844)) | ( c_List_Olist_ONil(_u15842) = hAPP(hAPP(c_List_Omap(_u15844, _u15842), _u15846), _u15848)) )).
% 29.00/29.26 cnf(matrix-6758, plain, ( ( hAPP(hAPP(c_List_Omap(_u15849, _u15850), _u15851), c_List_Olist_ONil(_u15849)) = c_List_Olist_ONil(_u15850)) )).
% 29.00/29.26 cnf(matrix-6759, plain, ( ( hAPP(hAPP(c_List_Omap(_u15856, _u15858), _u15860), _u15862) != c_List_Olist_ONil(_u15858)) | ( _u15862 = c_List_Olist_ONil(_u15856)) )).
% 29.00/29.26 cnf(matrix-6760, plain, ( ( _u15863 != c_List_Olist_ONil(_u15857)) | ( hAPP(hAPP(c_List_Omap(_u15857, _u15859), _u15861), _u15863) = c_List_Olist_ONil(_u15859)) )).
% 29.00/29.26 cnf(matrix-6761, plain, ( ( _u15864 = c_List_Olist_ONil(_u15865)) | ( hAPP(c_List_Ohd(_u15866), hAPP(hAPP(c_List_Omap(_u15865, _u15866), _u15867), _u15864)) = hAPP(_u15867, hAPP(c_List_Ohd(_u15865), _u15864))) )).
% 29.00/29.26 cnf(matrix-6762, plain, ( ( _u15868 = c_List_Olist_ONil(_u15869)) | ( c_List_Olast(_u15870, hAPP(hAPP(c_List_Omap(_u15869, _u15870), _u15871), _u15868)) = hAPP(_u15871, c_List_Olast(_u15869, _u15868))) )).
% 29.00/29.26 cnf(matrix-6763, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u15872), tc_List_Olist(_u15873), tc_List_Olist(_u15874), hAPP(c_List_Omap(_u15872, _u15873), _u15875)), hAPP(c_List_Omap(_u15874, _u15872), _u15876)) = hAPP(c_List_Omap(_u15874, _u15873), hAPP(c_Fun_Ocomp(_u15872, _u15873, _u15874, _u15875), _u15876))) )).
% 29.00/29.26 cnf(matrix-6764, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u15877), tc_List_Olist(_u15878), tc_List_Olist(_u15879), hAPP(c_List_Omap(_u15877, _u15878), _u15880)), hAPP(c_List_Omap(_u15879, _u15877), _u15881)) = hAPP(c_List_Omap(_u15879, _u15878), hAPP(c_Fun_Ocomp(_u15877, _u15878, _u15879, _u15880), _u15881))) )).
% 29.00/29.26 cnf(matrix-6765, plain, ( ( hAPP(c_List_Omap(_u15882, _u15882), c_Fun_Oid(_u15882)) = c_Fun_Oid(tc_List_Olist(_u15882))) )).
% 29.00/29.26 cnf(matrix-6766, plain, ( ~c_Fun_Oinj__on(_u15883, _u15884, _u15885, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15883, tc_HOL_Obool)), hAPP(c_List_Oset(_u15883), _u15886)), hAPP(c_List_Oset(_u15883), _u15887))) | ( hAPP(hAPP(c_List_Omap(_u15883, _u15884), _u15885), _u15886) != hAPP(hAPP(c_List_Omap(_u15883, _u15884), _u15885), _u15887)) | ( _u15886 = _u15887) )).
% 29.00/29.26 cnf(matrix-6767, plain, ( ~c_Fun_Oinj__on(_u15883, _u15884, _u15885, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15883, tc_HOL_Obool)), hAPP(c_List_Oset(_u15883), _u15886)), hAPP(c_List_Oset(_u15883), _u15887))) | ( _u15886 != _u15887) | ( hAPP(hAPP(c_List_Omap(_u15883, _u15884), _u15885), _u15886) = hAPP(hAPP(c_List_Omap(_u15883, _u15884), _u15885), _u15887)) )).
% 29.00/29.26 cnf(matrix-6768, plain, ( ( hAPP(hAPP(c_List_Omap(_u15888, _u15889), _u15890), _u15891) != hAPP(hAPP(c_List_Omap(_u15888, _u15889), _u15890), _u15892)) | ~c_Fun_Oinj__on(_u15888, _u15889, _u15890, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15888, tc_HOL_Obool)), hAPP(c_List_Oset(_u15888), _u15891)), hAPP(c_List_Oset(_u15888), _u15892))) | ( _u15891 = _u15892) )).
% 29.00/29.26 cnf(matrix-6769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15893), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15894)), _u15895))) | ( hAPP(hAPP(c_List_Onth(_u15896), hAPP(hAPP(c_List_Omap(_u15894, _u15896), _u15897), _u15895)), _u15893) = hAPP(_u15897, hAPP(hAPP(c_List_Onth(_u15894), _u15895), _u15893))) )).
% 29.00/29.26 cnf(matrix-6770, plain, ( hBOOL(hAPP(hAPP(c_member(_u15898), _u15899), hAPP(c_List_Oset(_u15898), _u15900))) | ( hAPP(hAPP(c_List_Omap(_u15898, _u15901), c_Fun_Ofun__upd(_u15898, _u15901, _u15902, _u15899, _u15903)), _u15900) = hAPP(hAPP(c_List_Omap(_u15898, _u15901), _u15902), _u15900)) )).
% 29.00/29.26 cnf(matrix-6771, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15908), hAPP(hAPP(c_List_Omap(_u15910, _u15908), _u15912), _u15914))) | hBOOL(hAPP(c_List_Odistinct(_u15910), _u15914)) )).
% 29.00/29.26 cnf(matrix-6772, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15908), hAPP(hAPP(c_List_Omap(_u15910, _u15908), _u15912), _u15914))) | c_Fun_Oinj__on(_u15910, _u15908, _u15912, hAPP(c_List_Oset(_u15910), _u15914)) )).
% 29.00/29.26 cnf(matrix-6773, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15911), _u15915)) | ~c_Fun_Oinj__on(_u15911, _u15909, _u15913, hAPP(c_List_Oset(_u15911), _u15915)) | hBOOL(hAPP(c_List_Odistinct(_u15909), hAPP(hAPP(c_List_Omap(_u15911, _u15909), _u15913), _u15915))) )).
% 29.00/29.26 cnf(matrix-6774, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u15916) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15916), hAPP(c_Groups_Oabs__class_Oabs(_u15916), hAPP(c_List_Omonoid__add__class_Olistsum(_u15916), _u15917))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15916), hAPP(hAPP(c_List_Omap(_u15916, _u15916), c_Groups_Oabs__class_Oabs(_u15916)), _u15917)))) )).
% 29.00/29.26 cnf(matrix-6775, plain, ( ~class_Groups_Oab__group__add(_u15918) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u15918), hAPP(c_List_Omonoid__add__class_Olistsum(_u15918), hAPP(hAPP(c_List_Omap(_u15919, _u15918), _u15920), _u15921))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15918), hAPP(hAPP(c_List_Omap(_u15919, _u15918), hAPP(c_Fun_Ocomp(_u15918, _u15918, _u15919, c_Groups_Ouminus__class_Ouminus(_u15918)), _u15920)), _u15921))) )).
% 29.00/29.26 cnf(matrix-6776, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15922) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15923, tc_HOL_Obool)), _u15924), _u15925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15922), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15923, _u15922), _u15925), _u15926)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15923, _u15922), _u15924), _u15926))) )).
% 29.00/29.26 cnf(matrix-6777, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15927, tc_fun(_u15928, tc_HOL_Obool)), _u15929), _u15930) = hAPP(c_Set_OCollect(_u15928), hAPP(hAPP(c_COMBB(tc_fun(_u15927, tc_HOL_Obool), tc_HOL_Obool, _u15928), c_HOL_OAll(_u15927)), hAPP(hAPP(c_COMBB(tc_fun(_u15927, tc_HOL_Obool), tc_fun(_u15927, tc_HOL_Obool), _u15928), hAPP(c_COMBS(_u15927, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15927), c_fimplies), hAPP(hAPP(c_COMBC(_u15927, tc_fun(_u15927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15927)), _u15929)))), hAPP(hAPP(c_COMBC(_u15928, tc_fun(_u15927, tc_fun(_u15928, tc_HOL_Obool)), tc_fun(_u15927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15928, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u15927, tc_fun(_u15928, tc_HOL_Obool)), tc_fun(_u15927, tc_HOL_Obool)), _u15928), c_COMBB(tc_fun(_u15928, tc_HOL_Obool), tc_HOL_Obool, _u15927)), c_member(_u15928))), _u15930))))) )).
% 29.00/29.26 cnf(matrix-6778, plain, ( ( _u15936 != c_Orderings_Obot__class_Obot(tc_fun(_u15938, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15938, tc_fun(_u15940, tc_HOL_Obool)), _u15936), hAPP(hAPP(c_COMBC(_u15938, tc_fun(_u15940, tc_HOL_Obool), tc_fun(_u15940, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15940, tc_HOL_Obool), tc_fun(tc_fun(_u15940, tc_HOL_Obool), tc_fun(_u15940, tc_HOL_Obool)), _u15938), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15940, tc_HOL_Obool))), _u15942)), _u15944)) = c_Orderings_Otop__class_Otop(tc_fun(_u15940, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6779, plain, ( ( _u15937 = c_Orderings_Obot__class_Obot(tc_fun(_u15939, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15939, tc_fun(_u15941, tc_HOL_Obool)), _u15937), hAPP(hAPP(c_COMBC(_u15939, tc_fun(_u15941, tc_HOL_Obool), tc_fun(_u15941, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15941, tc_HOL_Obool), tc_fun(tc_fun(_u15941, tc_HOL_Obool), tc_fun(_u15941, tc_HOL_Obool)), _u15939), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15941, tc_HOL_Obool))), _u15943)), _u15945)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15941, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15939, tc_fun(_u15941, tc_HOL_Obool)), _u15937), _u15943)), _u15945)) )).
% 29.00/29.26 cnf(matrix-6780, plain, ( ( _u15951 != c_Orderings_Obot__class_Obot(tc_fun(_u15953, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15953, tc_fun(_u15955, tc_HOL_Obool)), _u15951), hAPP(hAPP(c_COMBB(tc_fun(_u15955, tc_HOL_Obool), tc_fun(_u15955, tc_HOL_Obool), _u15953), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15955, tc_HOL_Obool)), _u15957)), _u15959)) = c_Orderings_Otop__class_Otop(tc_fun(_u15955, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6781, plain, ( ( _u15952 = c_Orderings_Obot__class_Obot(tc_fun(_u15954, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15954, tc_fun(_u15956, tc_HOL_Obool)), _u15952), hAPP(hAPP(c_COMBB(tc_fun(_u15956, tc_HOL_Obool), tc_fun(_u15956, tc_HOL_Obool), _u15954), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15956, tc_HOL_Obool)), _u15958)), _u15960)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15956, tc_HOL_Obool)), _u15958), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15954, tc_fun(_u15956, tc_HOL_Obool)), _u15952), _u15960))) )).
% 29.00/29.26 cnf(matrix-6782, plain, ( ( _u15966 != c_Orderings_Obot__class_Obot(tc_fun(_u15968, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15970, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15968, tc_fun(_u15970, tc_HOL_Obool)), _u15966), _u15972)), _u15974) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15970, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15970, tc_HOL_Obool))), _u15974)) )).
% 29.00/29.26 cnf(matrix-6783, plain, ( ( _u15967 = c_Orderings_Obot__class_Obot(tc_fun(_u15969, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15971, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15969, tc_fun(_u15971, tc_HOL_Obool)), _u15967), _u15973)), _u15975) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15969, tc_fun(_u15971, tc_HOL_Obool)), _u15967), hAPP(hAPP(c_COMBC(_u15969, tc_fun(_u15971, tc_HOL_Obool), tc_fun(_u15971, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15971, tc_HOL_Obool), tc_fun(tc_fun(_u15971, tc_HOL_Obool), tc_fun(_u15971, tc_HOL_Obool)), _u15969), c_Groups_Ominus__class_Ominus(tc_fun(_u15971, tc_HOL_Obool))), _u15973)), _u15975))) )).
% 29.00/29.26 cnf(matrix-6784, plain, ( ( _u15981 != c_Orderings_Obot__class_Obot(tc_fun(_u15983, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15983, tc_fun(_u15985, tc_HOL_Obool)), _u15981), hAPP(hAPP(c_COMBC(_u15983, tc_fun(_u15985, tc_HOL_Obool), tc_fun(_u15985, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15985, tc_HOL_Obool), tc_fun(tc_fun(_u15985, tc_HOL_Obool), tc_fun(_u15985, tc_HOL_Obool)), _u15983), c_Groups_Ominus__class_Ominus(tc_fun(_u15985, tc_HOL_Obool))), _u15987)), _u15989)) = c_Orderings_Otop__class_Otop(tc_fun(_u15985, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6785, plain, ( ( _u15982 = c_Orderings_Obot__class_Obot(tc_fun(_u15984, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15984, tc_fun(_u15986, tc_HOL_Obool)), _u15982), hAPP(hAPP(c_COMBC(_u15984, tc_fun(_u15986, tc_HOL_Obool), tc_fun(_u15986, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15986, tc_HOL_Obool), tc_fun(tc_fun(_u15986, tc_HOL_Obool), tc_fun(_u15986, tc_HOL_Obool)), _u15984), c_Groups_Ominus__class_Ominus(tc_fun(_u15986, tc_HOL_Obool))), _u15988)), _u15990)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15986, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15984, tc_fun(_u15986, tc_HOL_Obool)), _u15982), _u15988)), _u15990)) )).
% 29.00/29.26 cnf(matrix-6786, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u15994), tc_List_Olist(_u15996), hAPP(c_List_Omap(_u15994, _u15996), _u15998), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15994), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15994, _u15996, _u15998, c_Orderings_Otop__class_Otop(tc_fun(_u15994, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6787, plain, ( ~c_Fun_Oinj__on(_u15995, _u15997, _u15999, c_Orderings_Otop__class_Otop(tc_fun(_u15995, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u15995), tc_List_Olist(_u15997), hAPP(c_List_Omap(_u15995, _u15997), _u15999), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15995), tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6788, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u16000), tc_List_Olist(_u16001), hAPP(c_List_Omap(_u16000, _u16001), _u16002), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16000), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16000, _u16001, _u16002, c_Orderings_Otop__class_Otop(tc_fun(_u16000, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6789, plain, ( ( _u16008 != c_Orderings_Obot__class_Obot(tc_fun(_u16010, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16012, tc_HOL_Obool)), _u16014), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16010, tc_fun(_u16012, tc_HOL_Obool)), _u16008), _u16016)) = _u16014) )).
% 29.00/29.26 cnf(matrix-6790, plain, ( ( _u16009 = c_Orderings_Obot__class_Obot(tc_fun(_u16011, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16013, tc_HOL_Obool)), _u16015), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16011, tc_fun(_u16013, tc_HOL_Obool)), _u16009), _u16017)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16011, tc_fun(_u16013, tc_HOL_Obool)), _u16009), hAPP(hAPP(c_COMBB(tc_fun(_u16013, tc_HOL_Obool), tc_fun(_u16013, tc_HOL_Obool), _u16011), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16013, tc_HOL_Obool)), _u16015)), _u16017))) )).
% 29.00/29.26 cnf(matrix-6791, plain, ( ( c_List_Olist_Olist__size(_u16018, _u16019, hAPP(hAPP(c_List_Omap(_u16020, _u16018), _u16021), _u16022)) = c_List_Olist_Olist__size(_u16020, hAPP(c_Fun_Ocomp(_u16018, tc_Nat_Onat, _u16020, _u16019), _u16021), _u16022)) )).
% 29.00/29.26 cnf(matrix-6792, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16023) | ~hBOOL(hAPP(hAPP(c_member(_u16024), _u16025), _u16026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16023), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16024, _u16023), _u16026), _u16027)), hAPP(_u16027, _u16025))) )).
% 29.00/29.26 cnf(matrix-6793, plain, ( ~class_Groups_Ocomm__monoid__add(_u16028) | ~hBOOL(hAPP(c_List_Odistinct(_u16029), _u16030)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16028), hAPP(hAPP(c_List_Omap(_u16029, _u16028), _u16031), _u16030)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u16029, _u16028), _u16031), hAPP(c_List_Oset(_u16029), _u16030))) )).
% 29.00/29.26 cnf(matrix-6794, 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))) )).
% 29.00/29.26 cnf(matrix-6795, plain, ( ( _u16037 != c_Orderings_Obot__class_Obot(tc_fun(_u16039, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16039, tc_fun(_u16041, tc_HOL_Obool)), _u16037), hAPP(hAPP(c_COMBB(tc_fun(_u16041, tc_HOL_Obool), tc_fun(_u16041, tc_HOL_Obool), _u16039), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16041, tc_HOL_Obool)), _u16043)), _u16045)) = c_Orderings_Otop__class_Otop(tc_fun(_u16041, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-6796, plain, ( ( _u16038 = c_Orderings_Obot__class_Obot(tc_fun(_u16040, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16040, tc_fun(_u16042, tc_HOL_Obool)), _u16038), hAPP(hAPP(c_COMBB(tc_fun(_u16042, tc_HOL_Obool), tc_fun(_u16042, tc_HOL_Obool), _u16040), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16042, tc_HOL_Obool)), _u16044)), _u16046)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16042, tc_HOL_Obool)), _u16044), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16040, tc_fun(_u16042, tc_HOL_Obool)), _u16038), _u16046))) )).
% 29.00/29.26 cnf(matrix-6797, plain, ( ~class_Rings_Osemiring__1(_u16047) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16047), hAPP(hAPP(c_List_Omap(_u16048, _u16047), hAPP(c_COMBK(_u16047, _u16048), _u16049)), _u16050)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16047), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u16047), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16048)), _u16050))), _u16049)) )).
% 29.00/29.26 cnf(matrix-6798, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16051), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16052)), _u16053))) | ( hAPP(c_Random_Opick(_u16052, hAPP(hAPP(c_List_Omap(_u16052, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16052)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16052), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16053)), hAPP(c_Code__Numeral_Oof__nat, _u16051)) = hAPP(hAPP(c_List_Onth(_u16052), _u16053), _u16051)) )).
% 29.00/29.26 cnf(matrix-6799, plain, ( ~class_Groups_Ocomm__monoid__add(_u16054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16055), _u16056)) | ( c_Nitpick_Osetsum_H(_u16055, _u16054, _u16057, _u16056) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16054), hAPP(hAPP(c_List_Omap(_u16055, _u16054), _u16057), c_Hilbert__Choice_OEps(tc_List_Olist(_u16055), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16055), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16055)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16055), tc_fun(_u16055, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16055, tc_HOL_Obool), tc_fun(tc_fun(_u16055, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16055)), c_fequal), c_List_Oset(_u16055))), _u16056))), c_List_Odistinct(_u16055)))))) )).
% 29.00/29.26 cnf(matrix-6800, plain, ( ~class_Groups_Ocomm__monoid__add(_u16054) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16055), _u16056)) | ( c_Nitpick_Osetsum_H(_u16055, _u16054, _u16057, _u16056) = c_Groups_Ozero__class_Ozero(_u16054)) )).
% 29.00/29.26 cnf(matrix-6801, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16065, tc_fun(_u16067, tc_HOL_Obool)), _u16069), _u16071), _u16073)) | ~hBOOL(hAPP(hAPP(c_member(_u16065), _u16058), _u16069)) | hBOOL(hAPP(hAPP(_u16071, _u16058), _u16073)) )).
% 29.00/29.26 cnf(matrix-6802, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16066, tc_fun(_u16068, tc_HOL_Obool)), _u16070), _u16072), _u16074)) | hBOOL(hAPP(hAPP(c_member(_u16066), skolem369(_u16074, _u16072, _u16070, _u16068, _u16066)), _u16070)) )).
% 29.00/29.26 cnf(matrix-6803, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16066, tc_fun(_u16068, tc_HOL_Obool)), _u16070), _u16072), _u16074)) | ~hBOOL(hAPP(hAPP(_u16072, skolem369(_u16074, _u16072, _u16070, _u16068, _u16066)), _u16074)) )).
% 29.00/29.26 cnf(matrix-6804, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16084, tc_fun(_u16086, tc_fun(_u16088, tc_HOL_Obool))), _u16090), _u16092), _u16094), _u16096)) | ~hBOOL(hAPP(hAPP(c_member(_u16084), _u16075), _u16090)) | hBOOL(hAPP(hAPP(hAPP(_u16092, _u16075), _u16094), _u16096)) )).
% 29.00/29.26 cnf(matrix-6805, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16085, tc_fun(_u16087, tc_fun(_u16089, tc_HOL_Obool))), _u16091), _u16093), _u16095), _u16097)) | hBOOL(hAPP(hAPP(c_member(_u16085), skolem370(_u16097, _u16095, _u16093, _u16091, _u16089, _u16087, _u16085)), _u16091)) )).
% 29.00/29.26 cnf(matrix-6806, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16085, tc_fun(_u16087, tc_fun(_u16089, tc_HOL_Obool))), _u16091), _u16093), _u16095), _u16097)) | ~hBOOL(hAPP(hAPP(hAPP(_u16093, skolem370(_u16097, _u16095, _u16093, _u16091, _u16089, _u16087, _u16085)), _u16095), _u16097)) )).
% 29.00/29.26 cnf(matrix-6807, plain, ( ~hBOOL(hAPP(_u16099, _u16098)) | ( _u16100 != c_Hilbert__Choice_OEps(_u16101, _u16099)) | hBOOL(hAPP(_u16099, _u16100)) )).
% 29.00/29.26 cnf(matrix-6808, plain, ( ~hBOOL(hAPP(_u16102, _u16103)) | hBOOL(hAPP(_u16102, c_Hilbert__Choice_OEps(_u16104, _u16102))) )).
% 29.00/29.26 cnf(matrix-6809, plain, ( ~hBOOL(hAPP(_u16106, _u16105)) | hBOOL(hAPP(_u16106, c_Hilbert__Choice_OEps(_u16107, _u16106))) )).
% 29.00/29.26 cnf(matrix-6810, plain, ( ~hBOOL(hAPP(_u16109, _u16108)) | hBOOL(hAPP(_u16109, c_Hilbert__Choice_OEps(_u16110, _u16109))) )).
% 29.00/29.26 cnf(matrix-6811, plain, ( ~hBOOL(hAPP(_u16115, c_Hilbert__Choice_OEps(_u16117, _u16115))) | hBOOL(hAPP(_u16115, skolem371(_u16117, _u16115))) )).
% 29.00/29.26 cnf(matrix-6812, plain, ( ~hBOOL(hAPP(_u16116, _u16112)) | hBOOL(hAPP(_u16116, c_Hilbert__Choice_OEps(_u16118, _u16116))) )).
% 29.00/29.26 cnf(matrix-6813, plain, ( ( c_Hilbert__Choice_OEps(_u16119, hAPP(hAPP(c_COMBC(_u16119, _u16119, tc_HOL_Obool), c_fequal), _u16120)) = _u16120) )).
% 29.00/29.26 cnf(matrix-6814, plain, ( ( c_Hilbert__Choice_OEps(_u16121, hAPP(c_fequal, _u16122)) = _u16122) )).
% 29.00/29.26 cnf(matrix-6815, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16123)), hAPP(c_Code__Numeral_Oof__nat, _u16124)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16123), _u16124))) )).
% 29.00/29.26 cnf(matrix-6816, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u16127) != hAPP(c_Code__Numeral_Oof__nat, _u16129)) | ( _u16127 = _u16129) )).
% 29.00/29.26 cnf(matrix-6817, plain, ( ( _u16128 != _u16130) | ( hAPP(c_Code__Numeral_Oof__nat, _u16128) = hAPP(c_Code__Numeral_Oof__nat, _u16130)) )).
% 29.00/29.26 cnf(matrix-6818, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 29.00/29.26 cnf(matrix-6819, 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))) )).
% 29.00/29.26 cnf(matrix-6820, 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))) )).
% 29.00/29.26 cnf(matrix-6821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16133)), hAPP(c_Code__Numeral_Oof__nat, _u16135))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16133), _u16135)) )).
% 29.00/29.26 cnf(matrix-6822, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16134), _u16136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16134)), hAPP(c_Code__Numeral_Oof__nat, _u16136))) )).
% 29.00/29.26 cnf(matrix-6823, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16137), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16138), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u16137) != hAPP(c_Code__Numeral_Oof__nat, _u16138)) | ( _u16137 = _u16138) )).
% 29.00/29.26 cnf(matrix-6824, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16137), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16138), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u16137 != _u16138) | ( hAPP(c_Code__Numeral_Oof__nat, _u16137) = hAPP(c_Code__Numeral_Oof__nat, _u16138)) )).
% 29.00/29.26 cnf(matrix-6825, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16139)), _u16140) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16141)), _u16142)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16139, _u16141), _u16139), c_Product__Type_Ofst(_u16139, _u16141)), hAPP(hAPP(c_List_Ozip(_u16139, _u16141), _u16140), _u16142)) = _u16140) )).
% 29.00/29.26 cnf(matrix-6826, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16143)), _u16144) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16145)), _u16146)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16143, _u16145), _u16145), c_Product__Type_Osnd(_u16143, _u16145)), hAPP(hAPP(c_List_Ozip(_u16143, _u16145), _u16144), _u16146)) = _u16146) )).
% 29.00/29.26 cnf(matrix-6827, 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)) )).
% 29.00/29.26 cnf(matrix-6828, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16147, _u16148), hAPP(hAPP(c_List_Omap(tc_prod(_u16147, _u16148), _u16147), c_Product__Type_Ofst(_u16147, _u16148)), _u16149)), hAPP(hAPP(c_List_Omap(tc_prod(_u16147, _u16148), _u16148), c_Product__Type_Osnd(_u16147, _u16148)), _u16149)) = _u16149) )).
% 29.00/29.26 cnf(matrix-6829, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16150)), hAPP(c_Code__Numeral_Oof__nat, _u16151)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16150), _u16151))) )).
% 29.00/29.26 cnf(matrix-6830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16154)), hAPP(c_Code__Numeral_Oof__nat, _u16156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16154), _u16156)) )).
% 29.00/29.26 cnf(matrix-6831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16155), _u16157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16155)), hAPP(c_Code__Numeral_Oof__nat, _u16157))) )).
% 29.00/29.26 cnf(matrix-6832, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u16158)), hAPP(c_Code__Numeral_Oof__nat, _u16159)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16158), _u16159))) )).
% 29.00/29.26 cnf(matrix-6833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u16160), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16161), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u16161)), _u16162)))) | hBOOL(hAPP(hAPP(c_member(_u16161), hAPP(c_Random_Opick(_u16161, _u16162), _u16160)), hAPP(c_List_Oset(_u16161), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16161), _u16161), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u16161)), _u16162)))) )).
% 29.00/29.26 cnf(matrix-6834, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16163)), _u16164) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16165)), _u16166)) | ( hAPP(hAPP(c_List_Ozip(_u16163, _u16165), _u16164), _u16166) != _u16167) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16163, _u16165), _u16163), c_Product__Type_Ofst(_u16163, _u16165)), _u16167) = _u16164) )).
% 29.00/29.26 cnf(matrix-6835, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16163)), _u16164) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16165)), _u16166)) | ( hAPP(hAPP(c_List_Ozip(_u16163, _u16165), _u16164), _u16166) != _u16167) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16163, _u16165), _u16165), c_Product__Type_Osnd(_u16163, _u16165)), _u16167) = _u16166) )).
% 29.00/29.26 cnf(matrix-6836, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16163)), _u16164) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16165)), _u16166)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16163, _u16165), _u16163), c_Product__Type_Ofst(_u16163, _u16165)), _u16167) != _u16164) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16163, _u16165), _u16165), c_Product__Type_Osnd(_u16163, _u16165)), _u16167) != _u16166) | ( hAPP(hAPP(c_List_Ozip(_u16163, _u16165), _u16164), _u16166) = _u16167) )).
% 29.00/29.26 cnf(matrix-6837, plain, ( ( c_List_Olist_Olist__size(_u16168, _u16169, _u16170) = 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(_u16168, tc_Nat_Onat), _u16169), _u16170))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16168)), _u16170))) )).
% 29.00/29.26 cnf(matrix-6838, plain, ( ( _u16172 = 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)), _u16172)) )).
% 29.00/29.26 cnf(matrix-6839, 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)), _u16173)) | ( _u16173 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.26 cnf(matrix-6840, plain, ( ~class_Groups_Ocomm__monoid__add(_u16174) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16174), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16174), _u16175), c_List_Oupto(_u16176, _u16177))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16174), _u16175), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16176, _u16177)))) )).
% 29.00/29.26 cnf(matrix-6841, plain, ( ~class_Groups_Ocomm__monoid__add(_u16178) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16178), _u16179), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16180, _u16181))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16178), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16178), _u16179), c_List_Oupto(_u16180, _u16181)))) )).
% 29.00/29.26 cnf(matrix-6842, 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, _u16182), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u16182)), _u16183)))) | hBOOL(hAPP(hAPP(c_member(_u16182), hAPP(c_Product__Type_Ofst(_u16182, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u16182, _u16183), _u16184))), hAPP(c_List_Oset(_u16182), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16182), _u16182), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u16182)), _u16183)))) )).
% 29.00/29.26 cnf(matrix-6843, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16187), _u16189)) | ( c_Nitpick_Ocard_H(_u16187, _u16189) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16187)), c_Hilbert__Choice_OEps(tc_List_Olist(_u16187), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16187), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16187)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16187), tc_fun(_u16187, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16187, tc_HOL_Obool), tc_fun(tc_fun(_u16187, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16187)), c_fequal), c_List_Oset(_u16187))), _u16189))), c_List_Odistinct(_u16187))))) )).
% 29.00/29.26 cnf(matrix-6844, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u16188), _u16190)) | ( c_Nitpick_Ocard_H(_u16188, _u16190) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-6845, plain, ( ( c_Random_Oselect__weight(_u16191, _u16192) = 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(_u16191, 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, _u16191), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u16191)), _u16192)))), hAPP(hAPP(c_COMBB(_u16191, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u16191, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u16191, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u16191, _u16192)))) )).
% 29.00/29.26 cnf(matrix-6846, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u16193, _u16194, _u16195, _u16196), hAPP(hAPP(c_Product__Type_Oscomp(_u16193, _u16197, _u16198, tc_prod(_u16194, _u16195)), _u16199), _u16200)), _u16201) = hAPP(hAPP(c_Product__Type_Oscomp(_u16193, _u16197, _u16198, _u16196), _u16199), hAPP(hAPP(c_COMBC(_u16197, tc_fun(_u16194, tc_fun(_u16195, _u16196)), tc_fun(_u16198, _u16196)), hAPP(hAPP(c_COMBB(tc_fun(_u16198, tc_prod(_u16194, _u16195)), tc_fun(tc_fun(_u16194, tc_fun(_u16195, _u16196)), tc_fun(_u16198, _u16196)), _u16197), c_Product__Type_Oscomp(_u16198, _u16194, _u16195, _u16196)), _u16200)), _u16201))) )).
% 29.00/29.26 cnf(matrix-6847, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u16202, _u16203, _u16204, _u16205), _u16206), _u16207), _u16208) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16203, _u16204, _u16205), _u16207), hAPP(_u16206, _u16208))) )).
% 29.00/29.26 cnf(matrix-6848, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u16209, _u16210, _u16211, tc_prod(_u16210, _u16211)), _u16212), c_Product__Type_OPair(_u16210, _u16211)) = _u16212) )).
% 29.00/29.26 cnf(matrix-6849, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u16213, _u16214, _u16213, _u16215), hAPP(c_Product__Type_OPair(_u16214, _u16213), _u16216)), _u16217) = hAPP(_u16217, _u16216)) )).
% 29.00/29.26 cnf(matrix-6850, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u16218, _u16219, _u16220, _u16221), _u16222), _u16223), _u16224) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16219, _u16220, _u16221), _u16223), hAPP(_u16222, _u16224))) )).
% 29.00/29.26 cnf(matrix-6851, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u16225, _u16226), _u16227) = c_Hilbert__Choice_OEps(tc_prod(_u16225, _u16226), hAPP(c_Product__Type_Oprod_Oprod__case(_u16225, _u16226, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16226, tc_prod(_u16225, _u16226)), tc_fun(_u16226, tc_HOL_Obool), _u16225), hAPP(c_COMBB(tc_prod(_u16225, _u16226), tc_HOL_Obool, _u16226), _u16227)), c_Product__Type_OPair(_u16225, _u16226))))) )).
% 29.00/29.26 cnf(matrix-6852, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u16228, _u16229), hAPP(c_Product__Type_Oprod_Oprod__case(_u16228, _u16229, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16228, tc_fun(_u16229, tc_HOL_Obool), tc_fun(_u16229, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u16229, tc_HOL_Obool), tc_fun(_u16229, tc_HOL_Obool)), _u16228), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u16229)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16228), c_fconj), hAPP(c_fequal, _u16230)))), hAPP(c_fequal, _u16231)))) = hAPP(hAPP(c_Product__Type_OPair(_u16228, _u16229), _u16230), _u16231)) )).
% 29.00/29.26 cnf(matrix-6853, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u16232, _u16233, _u16234, _u16235), _u16236), _u16237), _u16238) = hAPP(hAPP(_u16237, hAPP(c_Product__Type_Ofst(_u16233, _u16234), hAPP(_u16236, _u16238))), hAPP(c_Product__Type_Osnd(_u16233, _u16234), hAPP(_u16236, _u16238)))) )).
% 29.00/29.26 cnf(matrix-6854, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u16239, _u16240), hAPP(c_Product__Type_Oprod_Oprod__case(_u16239, _u16240, tc_HOL_Obool), _u16241)) = c_Hilbert__Choice_OEps(tc_prod(_u16239, _u16240), hAPP(hAPP(c_COMBS(tc_prod(_u16239, _u16240), _u16240, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u16239, tc_fun(_u16240, tc_HOL_Obool), tc_prod(_u16239, _u16240)), _u16241), c_Product__Type_Ofst(_u16239, _u16240))), c_Product__Type_Osnd(_u16239, _u16240)))) )).
% 29.00/29.26 cnf(matrix-6855, plain, ( ( _u16247 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u16249, _u16251, _u16247, _u16253), _u16255) = hAPP(c_Product__Type_OPair(_u16249, _u16251), _u16255)) )).
% 29.00/29.26 cnf(matrix-6856, plain, ( ( _u16248 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u16250, _u16252, _u16248, _u16254), _u16256) = hAPP(hAPP(c_Product__Type_Oscomp(_u16252, _u16250, _u16252, tc_prod(_u16250, _u16252)), hAPP(_u16254, _u16256)), c_Random_Oiterate(_u16250, _u16252, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16248), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u16254))) )).
% 29.00/29.26 cnf(matrix-6857, plain, ( ( c_Random_Oselect(_u16257, _u16258) = 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(_u16257, 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(_u16257)), _u16258)))), hAPP(hAPP(c_COMBB(_u16257, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u16257, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u16257, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u16257, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u16257), _u16258)), c_Code__Numeral_Onat__of)))) )).
% 29.00/29.26 cnf(matrix-6858, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u16261) != hAPP(c_Code__Numeral_Onat__of, _u16263)) | ( _u16261 = _u16263) )).
% 29.00/29.26 cnf(matrix-6859, plain, ( ( _u16262 != _u16264) | ( hAPP(c_Code__Numeral_Onat__of, _u16262) = hAPP(c_Code__Numeral_Onat__of, _u16264)) )).
% 29.00/29.26 cnf(matrix-6860, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u16267) != hAPP(c_Code__Numeral_Onat__of, _u16269)) | ( _u16267 = _u16269) )).
% 29.00/29.26 cnf(matrix-6861, plain, ( ( _u16268 != _u16270) | ( hAPP(c_Code__Numeral_Onat__of, _u16268) = hAPP(c_Code__Numeral_Onat__of, _u16270)) )).
% 29.00/29.26 cnf(matrix-6862, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u16271)) = _u16271) )).
% 29.00/29.26 cnf(matrix-6863, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u16272)) = _u16272) )).
% 29.00/29.26 cnf(matrix-6864, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u16273)) = _u16273) )).
% 29.00/29.26 cnf(matrix-6865, 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))) )).
% 29.00/29.26 cnf(matrix-6866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u16276), _u16278)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16276)), hAPP(c_Code__Numeral_Onat__of, _u16278))) )).
% 29.00/29.26 cnf(matrix-6867, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16277)), hAPP(c_Code__Numeral_Onat__of, _u16279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u16277), _u16279)) )).
% 29.00/29.26 cnf(matrix-6868, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16280)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 29.00/29.26 cnf(matrix-6869, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u16281)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16281)) )).
% 29.00/29.26 cnf(matrix-6870, 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)) )).
% 29.00/29.26 cnf(matrix-6871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u16284), _u16286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16284)), hAPP(c_Code__Numeral_Onat__of, _u16286))) )).
% 29.00/29.26 cnf(matrix-6872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16285)), hAPP(c_Code__Numeral_Onat__of, _u16287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u16285), _u16287)) )).
% 29.00/29.26 cnf(matrix-6873, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u16288) = c_Code__Numeral_Onat__of__aux(_u16288, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.26 cnf(matrix-6874, plain, ( ( c_Code__Numeral_Onat__of__aux(_u16289, _u16290) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16289)), _u16290)) )).
% 29.00/29.26 cnf(matrix-6875, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u16291) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u16291)))) )).
% 29.00/29.26 cnf(matrix-6876, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16292), _u16293) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16292)), hAPP(c_Code__Numeral_Onat__of, _u16293)))) )).
% 29.00/29.26 cnf(matrix-6877, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16294), 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, _u16294)) = _u16294) )).
% 29.00/29.26 cnf(matrix-6878, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u16295), _u16296) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16295)), hAPP(c_Code__Numeral_Onat__of, _u16296)))) )).
% 29.00/29.26 cnf(matrix-6879, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u16297), _u16298) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16297)), hAPP(c_Code__Numeral_Onat__of, _u16298)))) )).
% 29.00/29.26 cnf(matrix-6880, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u16299), _u16300) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u16299)), hAPP(c_Code__Numeral_Onat__of, _u16300)))) )).
% 29.00/29.26 cnf(matrix-6881, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u16301, _u16302) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u16301), hAPP(c_Code__Numeral_Onat__of, _u16302)))) )).
% 29.00/29.26 cnf(matrix-6882, plain, ( ( _u16303 = 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, _u16303)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u16303))) )).
% 29.00/29.26 cnf(matrix-6883, plain, ( ~class_Groups_Omonoid__add(_u16305) | ~class_Groups_Oordered__ab__semigroup__add(_u16305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16305), hAPP(c_List_Omonoid__add__class_Olistsum(_u16305), hAPP(hAPP(c_List_Omap(_u16306, _u16305), _u16308), _u16307))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16305), hAPP(hAPP(c_List_Omap(_u16306, _u16305), _u16309), _u16307)))) | hBOOL(hAPP(hAPP(c_member(_u16306), skolem372(_u16309, _u16308, _u16307, _u16306, _u16305)), hAPP(c_List_Oset(_u16306), _u16307))) )).
% 29.00/29.26 cnf(matrix-6884, plain, ( ~class_Groups_Omonoid__add(_u16305) | ~class_Groups_Oordered__ab__semigroup__add(_u16305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16305), hAPP(c_List_Omonoid__add__class_Olistsum(_u16305), hAPP(hAPP(c_List_Omap(_u16306, _u16305), _u16308), _u16307))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16305), hAPP(hAPP(c_List_Omap(_u16306, _u16305), _u16309), _u16307)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16305), hAPP(_u16308, skolem372(_u16309, _u16308, _u16307, _u16306, _u16305))), hAPP(_u16309, skolem372(_u16309, _u16308, _u16307, _u16306, _u16305)))) )).
% 29.00/29.26 cnf(matrix-6885, plain, ( ~c_Fun_Oinj__on(_u16311, _u16312, _u16313, _u16314) | ~hBOOL(hAPP(hAPP(c_member(_u16315), _u16318), _u16316)) | ( hAPP(c_Set_Oimage(_u16311, _u16312, _u16313), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16315, tc_fun(_u16311, tc_HOL_Obool)), _u16316), _u16317)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16315, tc_fun(_u16312, tc_HOL_Obool)), _u16316), hAPP(hAPP(c_COMBB(tc_fun(_u16311, tc_HOL_Obool), tc_fun(_u16312, tc_HOL_Obool), _u16315), c_Set_Oimage(_u16311, _u16312, _u16313)), _u16317))) | hBOOL(hAPP(hAPP(c_member(_u16315), skolem373(_u16318, _u16317, _u16316, _u16315, _u16314, _u16313, _u16312, _u16311)), _u16316)) )).
% 29.00/29.26 cnf(matrix-6886, plain, ( ~c_Fun_Oinj__on(_u16311, _u16312, _u16313, _u16314) | ~hBOOL(hAPP(hAPP(c_member(_u16315), _u16318), _u16316)) | ( hAPP(c_Set_Oimage(_u16311, _u16312, _u16313), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16315, tc_fun(_u16311, tc_HOL_Obool)), _u16316), _u16317)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16315, tc_fun(_u16312, tc_HOL_Obool)), _u16316), hAPP(hAPP(c_COMBB(tc_fun(_u16311, tc_HOL_Obool), tc_fun(_u16312, tc_HOL_Obool), _u16315), c_Set_Oimage(_u16311, _u16312, _u16313)), _u16317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16311, tc_HOL_Obool)), hAPP(_u16317, skolem373(_u16318, _u16317, _u16316, _u16315, _u16314, _u16313, _u16312, _u16311))), _u16314)) )).
% 29.00/29.26 cnf(matrix-6887, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u16319), _u16320) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u16319, 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)))), _u16320)))) )).
% 29.00/29.26 cnf(matrix-6888, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16323)), _u16324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16323)), _u16325))) | ( hAPP(hAPP(c_List_Otake(_u16323), _u16322), _u16324) = hAPP(hAPP(c_List_Otake(_u16323), _u16322), _u16325)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem374(_u16325, _u16324, _u16323, _u16322)), _u16322)) )).
% 29.00/29.26 cnf(matrix-6889, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16323)), _u16324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16323)), _u16325))) | ( hAPP(hAPP(c_List_Otake(_u16323), _u16322), _u16324) = hAPP(hAPP(c_List_Otake(_u16323), _u16322), _u16325)) | ( hAPP(hAPP(c_List_Onth(_u16323), _u16324), skolem374(_u16325, _u16324, _u16323, _u16322)) != hAPP(hAPP(c_List_Onth(_u16323), _u16325), skolem374(_u16325, _u16324, _u16323, _u16322))) )).
% 29.00/29.26 cnf(matrix-6890, plain, ( ~class_Groups_Ocomm__monoid__add(_u16326) | ~hBOOL(hAPP(hAPP(c_member(_u16327), _u16328), hAPP(c_List_Oset(_u16327), _u16329))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16326), hAPP(hAPP(c_List_Omap(_u16327, _u16326), _u16330), _u16329)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16326), hAPP(_u16330, _u16328)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16326), hAPP(hAPP(c_List_Omap(_u16327, _u16326), _u16330), c_List_Oremove1(_u16327, _u16328, _u16329))))) )).
% 29.00/29.26 cnf(matrix-6891, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16331), _u16332)) | ( hAPP(c_List_Oset(_u16331), c_List_Oremove1(_u16331, _u16333, _u16332)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16331, tc_HOL_Obool)), hAPP(c_List_Oset(_u16331), _u16332)), hAPP(hAPP(c_Set_Oinsert(_u16331), _u16333), c_Orderings_Obot__class_Obot(tc_fun(_u16331, tc_HOL_Obool))))) )).
% 29.00/29.26 cnf(matrix-6892, plain, ( ( c_List_Oremove1(_u16334, _u16335, c_List_Oremove1(_u16334, _u16336, _u16337)) = c_List_Oremove1(_u16334, _u16336, c_List_Oremove1(_u16334, _u16335, _u16337))) )).
% 29.00/29.26 cnf(matrix-6893, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16338), _u16339)) | hBOOL(hAPP(c_List_Odistinct(_u16338), c_List_Oremove1(_u16338, _u16340, _u16339))) )).
% 29.00/29.26 cnf(matrix-6894, plain, ( ( _u16345 != _u16347) | ( c_List_Oremove1(_u16349, _u16345, hAPP(hAPP(c_List_Olist_OCons(_u16349), _u16347), _u16351)) = _u16351) )).
% 29.00/29.26 cnf(matrix-6895, plain, ( ( _u16346 = _u16348) | ( c_List_Oremove1(_u16350, _u16346, hAPP(hAPP(c_List_Olist_OCons(_u16350), _u16348), _u16352)) = hAPP(hAPP(c_List_Olist_OCons(_u16350), _u16348), c_List_Oremove1(_u16350, _u16346, _u16352))) )).
% 29.00/29.26 cnf(matrix-6896, plain, ( ( c_List_Oremove1(_u16353, _u16354, c_List_Olist_ONil(_u16353)) = c_List_Olist_ONil(_u16353)) )).
% 29.00/29.26 cnf(matrix-6897, plain, ( hBOOL(hAPP(hAPP(c_member(_u16355), _u16356), hAPP(c_List_Oset(_u16355), _u16357))) | ( c_List_Oremove1(_u16355, _u16356, _u16357) = _u16357) )).
% 29.00/29.26 cnf(matrix-6898, plain, ( hBOOL(hAPP(hAPP(c_member(_u16358), _u16359), hAPP(c_List_Oset(_u16358), _u16360))) | ~hBOOL(hAPP(hAPP(c_member(_u16358), _u16359), hAPP(c_List_Oset(_u16358), c_List_Oremove1(_u16358, _u16361, _u16360)))) )).
% 29.00/29.26 cnf(matrix-6899, plain, ( ( _u16362 = _u16363) | ~hBOOL(hAPP(hAPP(c_member(_u16364), _u16362), hAPP(c_List_Oset(_u16364), c_List_Oremove1(_u16364, _u16363, _u16365)))) | hBOOL(hAPP(hAPP(c_member(_u16364), _u16362), hAPP(c_List_Oset(_u16364), _u16365))) )).
% 29.00/29.26 cnf(matrix-6900, plain, ( ( _u16362 = _u16363) | ~hBOOL(hAPP(hAPP(c_member(_u16364), _u16362), hAPP(c_List_Oset(_u16364), _u16365))) | hBOOL(hAPP(hAPP(c_member(_u16364), _u16362), hAPP(c_List_Oset(_u16364), c_List_Oremove1(_u16364, _u16363, _u16365)))) )).
% 29.00/29.26 cnf(matrix-6901, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16366, tc_HOL_Obool)), hAPP(c_List_Oset(_u16366), c_List_Oremove1(_u16366, _u16367, _u16368))), hAPP(c_List_Oset(_u16366), _u16368))) )).
% 29.00/29.26 cnf(matrix-6902, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16373), _u16375), hAPP(c_List_Oset(_u16373), _u16377))) | ( c_List_Oremove1(_u16373, _u16375, hAPP(hAPP(c_List_Oappend(_u16373), _u16377), _u16379)) = hAPP(hAPP(c_List_Oappend(_u16373), c_List_Oremove1(_u16373, _u16375, _u16377)), _u16379)) )).
% 29.00/29.26 cnf(matrix-6903, plain, ( hBOOL(hAPP(hAPP(c_member(_u16374), _u16376), hAPP(c_List_Oset(_u16374), _u16378))) | ( c_List_Oremove1(_u16374, _u16376, hAPP(hAPP(c_List_Oappend(_u16374), _u16378), _u16380)) = hAPP(hAPP(c_List_Oappend(_u16374), _u16378), c_List_Oremove1(_u16374, _u16376, _u16380))) )).
% 29.00/29.26 cnf(matrix-6904, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16384), _u16386), hAPP(c_List_Oset(_u16384), _u16388))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16384)), c_List_Oremove1(_u16384, _u16386, _u16388)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16384)), _u16388)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.26 cnf(matrix-6905, plain, ( hBOOL(hAPP(hAPP(c_member(_u16385), _u16387), hAPP(c_List_Oset(_u16385), _u16389))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16385)), c_List_Oremove1(_u16385, _u16387, _u16389)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16385)), _u16389)) )).
% 29.00/29.26 cnf(matrix-6906, plain, ( ~class_Orderings_Olinorder(_u16390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16390), _u16391)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16390, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16390, tc_HOL_Obool)), _u16391), hAPP(hAPP(c_Set_Oinsert(_u16390), _u16392), c_Orderings_Obot__class_Obot(tc_fun(_u16390, tc_HOL_Obool))))) = c_List_Oremove1(_u16390, _u16392, c_List_Olinorder__class_Osorted__list__of__set(_u16390, _u16391))) )).
% 29.00/29.26 cnf(matrix-6907, plain, ( ( c_List_Opartition(_u16393, _u16394, _u16395) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16393), tc_List_Olist(_u16393)), _u16396), _u16397)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16393, tc_HOL_Obool)), hAPP(c_List_Oset(_u16393), _u16396)), hAPP(c_List_Oset(_u16393), _u16397)) = hAPP(c_List_Oset(_u16393), _u16395)) )).
% 29.00/29.26 cnf(matrix-6908, plain, ( ~class_Orderings_Olinorder(_u16398) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16398, c_Orderings_Obot__class_Obot(tc_fun(_u16398, tc_HOL_Obool))) = c_List_Olist_ONil(_u16398)) )).
% 29.00/29.26 cnf(matrix-6909, plain, ( ( c_List_Opartition(_u16401, _u16402, _u16403) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16404), _u16405)) | ~hBOOL(hAPP(hAPP(c_member(_u16401), _u16399), hAPP(c_List_Oset(_u16401), _u16404))) | hBOOL(hAPP(_u16402, _u16399)) )).
% 29.00/29.26 cnf(matrix-6910, plain, ( ( c_List_Opartition(_u16401, _u16402, _u16403) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), _u16404), _u16405)) | ~hBOOL(hAPP(hAPP(c_member(_u16401), _u16400), hAPP(c_List_Oset(_u16401), _u16405))) | ~hBOOL(hAPP(_u16402, _u16400)) )).
% 29.00/29.26 cnf(matrix-6911, plain, ( ( c_List_Opartition(_u16406, _u16407, c_List_Olist_ONil(_u16406)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16406), tc_List_Olist(_u16406)), c_List_Olist_ONil(_u16406)), c_List_Olist_ONil(_u16406))) )).
% 29.00/29.26 cnf(matrix-6912, plain, ( ( c_List_Opartition(_u16408, _u16409, hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16410), _u16411)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16408), tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16408), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16408), tc_fun(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), tc_fun(tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), tc_List_Olist(_u16408)), c_COMBS(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_fun(tc_List_Olist(_u16408), tc_fun(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), tc_List_Olist(_u16408)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_fun(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_List_Olist(_u16408)), hAPP(c_If(tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), hAPP(_u16409, _u16410)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16408), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_List_Olist(_u16408)), c_Product__Type_OPair(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), hAPP(c_List_Olist_OCons(_u16408), _u16410))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16408), tc_fun(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408))), tc_fun(tc_fun(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_fun(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), tc_List_Olist(_u16408)), c_COMBB(tc_List_Olist(_u16408), tc_prod(tc_List_Olist(_u16408), tc_List_Olist(_u16408)), tc_List_Olist(_u16408))), c_Product__Type_OPair(tc_List_Olist(_u16408), tc_List_Olist(_u16408)))), hAPP(c_List_Olist_OCons(_u16408), _u16410)))), c_List_Opartition(_u16408, _u16409, _u16411))) )).
% 29.00/29.26 cnf(matrix-6913, plain, ( ~class_Orderings_Olinorder(_u16412) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16412), _u16413)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16412, hAPP(hAPP(c_Set_Oinsert(_u16412), _u16414), _u16413)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16412, _u16412, c_COMBI(_u16412)), _u16414), c_List_Olinorder__class_Osorted__list__of__set(_u16412, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16412, tc_HOL_Obool)), _u16413), hAPP(hAPP(c_Set_Oinsert(_u16412), _u16414), c_Orderings_Obot__class_Obot(tc_fun(_u16412, tc_HOL_Obool))))))) )).
% 29.00/29.26 cnf(matrix-6914, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16415)), _u16416), c_List_Olists(_u16415, _u16417))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16415)), _u16416), c_List_Olists(_u16415, _u16418))) | hBOOL(hAPP(c_List_Olistsp(_u16415, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16415, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u16415, tc_fun(_u16415, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16415)), _u16417)), hAPP(hAPP(c_COMBC(_u16415, tc_fun(_u16415, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16415)), _u16418))), _u16416)) )).
% 29.00/29.26 cnf(matrix-6915, plain, ( hBOOL(hAPP(c_List_Olistsp(_u16419, _u16420), c_List_Olist_ONil(_u16419))) )).
% 29.00/29.26 cnf(matrix-6916, plain, ( ~class_Orderings_Olinorder(_u16421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16421), hAPP(_u16422, _u16423)), hAPP(_u16422, _u16424))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16425, _u16421, _u16422), _u16423), hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16424), _u16426)) = hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16423), hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16424), _u16426))) )).
% 29.00/29.26 cnf(matrix-6917, plain, ( ~class_Orderings_Olinorder(_u16421) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16421), hAPP(_u16422, _u16423)), hAPP(_u16422, _u16424))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16425, _u16421, _u16422), _u16423), hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16424), _u16426)) = hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16424), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16425, _u16421, _u16422), _u16423), _u16426))) )).
% 29.00/29.26 cnf(matrix-6918, plain, ( ~class_Orderings_Olinorder(_u16427) | ( hAPP(c_List_Oset(_u16428), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16428, _u16427, _u16429), _u16430), _u16431)) = hAPP(hAPP(c_Set_Oinsert(_u16428), _u16430), hAPP(c_List_Oset(_u16428), _u16431))) )).
% 29.00/29.26 cnf(matrix-6919, plain, ( ~class_Orderings_Olinorder(_u16432) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16433)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16433, _u16432, _u16434), _u16435), _u16436)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16433)), _u16436))) )).
% 29.00/29.26 cnf(matrix-6920, plain, ( ~class_Orderings_Olinorder(_u16437) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16438, _u16437, _u16439), _u16440), c_List_Olist_ONil(_u16438)) = hAPP(hAPP(c_List_Olist_OCons(_u16438), _u16440), c_List_Olist_ONil(_u16438))) )).
% 29.00/29.26 cnf(matrix-6921, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16446, _u16448), _u16450)) | ~hBOOL(hAPP(hAPP(c_member(_u16446), _u16441), hAPP(c_List_Oset(_u16446), _u16450))) | hBOOL(hAPP(_u16448, _u16441)) )).
% 29.00/29.26 cnf(matrix-6922, plain, ( hBOOL(hAPP(c_List_Olistsp(_u16447, _u16449), _u16451)) | hBOOL(hAPP(hAPP(c_member(_u16447), skolem375(_u16451, _u16449, _u16447)), hAPP(c_List_Oset(_u16447), _u16451))) )).
% 29.00/29.26 cnf(matrix-6923, plain, ( hBOOL(hAPP(c_List_Olistsp(_u16447, _u16449), _u16451)) | ~hBOOL(hAPP(_u16449, skolem375(_u16451, _u16449, _u16447))) )).
% 29.00/29.26 cnf(matrix-6924, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16452, _u16453), _u16454)) | ~hBOOL(hAPP(c_List_Olistsp(_u16452, _u16455), _u16454)) | hBOOL(hAPP(c_List_Olistsp(_u16452, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16452, tc_HOL_Obool)), _u16453), _u16455)), _u16454)) )).
% 29.00/29.26 cnf(matrix-6925, plain, ( ( c_List_Olistsp(_u16456, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16456, tc_HOL_Obool)), _u16457), _u16458)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u16456), tc_HOL_Obool)), c_List_Olistsp(_u16456, _u16457)), c_List_Olistsp(_u16456, _u16458))) )).
% 29.00/29.26 cnf(matrix-6926, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16463, hAPP(hAPP(c_COMBS(_u16463, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16463), c_fconj), _u16465)), _u16467)), _u16469)) | hBOOL(hAPP(c_List_Olistsp(_u16463, _u16465), _u16469)) )).
% 29.00/29.26 cnf(matrix-6927, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16463, hAPP(hAPP(c_COMBS(_u16463, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16463), c_fconj), _u16465)), _u16467)), _u16469)) | hBOOL(hAPP(c_List_Olistsp(_u16463, _u16467), _u16469)) )).
% 29.00/29.26 cnf(matrix-6928, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16464, _u16466), _u16470)) | ~hBOOL(hAPP(c_List_Olistsp(_u16464, _u16468), _u16470)) | hBOOL(hAPP(c_List_Olistsp(_u16464, hAPP(hAPP(c_COMBS(_u16464, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u16464), c_fconj), _u16466)), _u16468)), _u16470)) )).
% 29.00/29.26 cnf(matrix-6929, plain, ( ~class_Orderings_Olinorder(_u16471) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16471, _u16471, c_COMBI(_u16471)), _u16472), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16471, _u16471, c_COMBI(_u16471)), _u16473), _u16474)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16471, _u16471, c_COMBI(_u16471)), _u16473), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16471, _u16471, c_COMBI(_u16471)), _u16472), _u16474))) )).
% 29.00/29.26 cnf(matrix-6930, plain, ( ~class_Orderings_Olinorder(_u16475) | ( hAPP(_u16476, _u16477) = hAPP(_u16476, _u16478)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16479, _u16475, _u16476), _u16478), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16479, _u16475, _u16476), _u16477), _u16480)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16479, _u16475, _u16476), _u16477), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16479, _u16475, _u16476), _u16478), _u16480))) )).
% 29.00/29.26 cnf(matrix-6931, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16485, _u16487), hAPP(hAPP(c_List_Oappend(_u16485), _u16489), _u16491))) | hBOOL(hAPP(c_List_Olistsp(_u16485, _u16487), _u16489)) )).
% 29.00/29.26 cnf(matrix-6932, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16485, _u16487), hAPP(hAPP(c_List_Oappend(_u16485), _u16489), _u16491))) | hBOOL(hAPP(c_List_Olistsp(_u16485, _u16487), _u16491)) )).
% 29.00/29.26 cnf(matrix-6933, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16486, _u16488), _u16490)) | ~hBOOL(hAPP(c_List_Olistsp(_u16486, _u16488), _u16492)) | hBOOL(hAPP(c_List_Olistsp(_u16486, _u16488), hAPP(hAPP(c_List_Oappend(_u16486), _u16490), _u16492))) )).
% 29.00/29.26 cnf(matrix-6934, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16497, _u16499), hAPP(hAPP(c_List_Olist_OCons(_u16497), _u16501), _u16503))) | hBOOL(hAPP(_u16499, _u16501)) )).
% 29.00/29.26 cnf(matrix-6935, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16497, _u16499), hAPP(hAPP(c_List_Olist_OCons(_u16497), _u16501), _u16503))) | hBOOL(hAPP(c_List_Olistsp(_u16497, _u16499), _u16503)) )).
% 29.00/29.26 cnf(matrix-6936, plain, ( ~hBOOL(hAPP(_u16500, _u16502)) | ~hBOOL(hAPP(c_List_Olistsp(_u16498, _u16500), _u16504)) | hBOOL(hAPP(c_List_Olistsp(_u16498, _u16500), hAPP(hAPP(c_List_Olist_OCons(_u16498), _u16502), _u16504))) )).
% 29.00/29.26 cnf(matrix-6937, plain, ( ~class_Orderings_Olinorder(_u16505) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16506, _u16505, _u16507), _u16508), _u16509) != c_List_Olist_ONil(_u16506)) )).
% 29.00/29.26 cnf(matrix-6938, plain, ( hBOOL(hAPP(c_List_Olistsp(_u16510, _u16511), c_List_Olist_ONil(_u16510))) )).
% 29.00/29.26 cnf(matrix-6939, plain, ( ~class_Orderings_Olinorder(_u16512) | ( c_List_Oremove1(_u16512, _u16513, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16512, _u16512, c_COMBI(_u16512)), _u16513), _u16514)) = _u16514) )).
% 29.00/29.26 cnf(matrix-6940, plain, ( ~class_Orderings_Olinorder(_u16515) | ~hBOOL(hAPP(c_List_Odistinct(_u16516), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16516, _u16515, _u16517), _u16518), _u16519))) | ~hBOOL(hAPP(hAPP(c_member(_u16516), _u16518), hAPP(c_List_Oset(_u16516), _u16519))) )).
% 29.00/29.26 cnf(matrix-6941, plain, ( ~class_Orderings_Olinorder(_u16515) | ~hBOOL(hAPP(c_List_Odistinct(_u16516), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16516, _u16515, _u16517), _u16518), _u16519))) | hBOOL(hAPP(c_List_Odistinct(_u16516), _u16519)) )).
% 29.00/29.26 cnf(matrix-6942, plain, ( ~class_Orderings_Olinorder(_u16515) | hBOOL(hAPP(hAPP(c_member(_u16516), _u16518), hAPP(c_List_Oset(_u16516), _u16519))) | ~hBOOL(hAPP(c_List_Odistinct(_u16516), _u16519)) | hBOOL(hAPP(c_List_Odistinct(_u16516), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16516, _u16515, _u16517), _u16518), _u16519))) )).
% 29.00/29.26 cnf(matrix-6943, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16520, tc_HOL_Obool)), _u16521), _u16522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u16520), tc_HOL_Obool)), c_List_Olistsp(_u16520, _u16521)), c_List_Olistsp(_u16520, _u16522))) )).
% 29.00/29.26 cnf(matrix-6944, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u16526, hAPP(hAPP(c_COMBC(_u16526, tc_fun(_u16526, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16526)), _u16528)), _u16530)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16526)), _u16530), c_List_Olists(_u16526, _u16528))) )).
% 29.00/29.26 cnf(matrix-6945, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16527)), _u16531), c_List_Olists(_u16527, _u16529))) | hBOOL(hAPP(c_List_Olistsp(_u16527, hAPP(hAPP(c_COMBC(_u16527, tc_fun(_u16527, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16527)), _u16529)), _u16531)) )).
% 29.00/29.26 cnf(matrix-6946, plain, ( ( c_List_Olistsp(_u16532, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16532, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u16532, tc_fun(_u16532, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16532)), _u16533)), hAPP(hAPP(c_COMBC(_u16532, tc_fun(_u16532, tc_HOL_Obool), tc_HOL_Obool), c_member(_u16532)), _u16534))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u16532), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16532), tc_fun(tc_List_Olist(_u16532), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u16532))), c_List_Olists(_u16532, _u16533))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16532), tc_fun(tc_List_Olist(_u16532), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u16532))), c_List_Olists(_u16532, _u16534)))) )).
% 29.00/29.26 cnf(matrix-6947, plain, ( ~class_Orderings_Olinorder(_u16535) | hBOOL(hAPP(hAPP(c_member(_u16535), hAPP(_u16536, _u16537)), hAPP(c_Set_Oimage(_u16538, _u16535, _u16536), hAPP(c_List_Oset(_u16538), _u16539)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16538, _u16535, _u16536, _u16537, _u16539) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16538, _u16535, _u16536), _u16537), _u16539)) )).
% 29.00/29.26 cnf(matrix-6948, plain, ( ~class_Orderings_Olinorder(_u16540) | hBOOL(hAPP(hAPP(c_member(_u16540), _u16541), hAPP(c_List_Oset(_u16540), _u16542))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16540, _u16540, c_COMBI(_u16540), _u16541, _u16542) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16540, _u16540, c_COMBI(_u16540)), _u16541), _u16542)) )).
% 29.00/29.26 cnf(matrix-6949, plain, ( ~class_Orderings_Olinorder(_u16543) | ~hBOOL(hAPP(c_List_Odistinct(_u16544), _u16545)) | hBOOL(hAPP(c_List_Odistinct(_u16544), c_List_Olinorder__class_Oinsort__insert__key(_u16544, _u16543, _u16546, _u16547, _u16545))) )).
% 29.00/29.26 cnf(matrix-6950, plain, ( ~class_Orderings_Olinorder(_u16548) | ~hBOOL(hAPP(hAPP(c_member(_u16548), _u16549), hAPP(c_List_Oset(_u16548), _u16550))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16548, _u16548, c_COMBI(_u16548), _u16549, _u16550) = _u16550) )).
% 29.00/29.26 cnf(matrix-6951, plain, ( ~class_Orderings_Olinorder(_u16551) | ( hAPP(c_List_Oset(_u16551), c_List_Olinorder__class_Oinsort__insert__key(_u16551, _u16551, c_COMBI(_u16551), _u16552, _u16553)) = hAPP(hAPP(c_Set_Oinsert(_u16551), _u16552), hAPP(c_List_Oset(_u16551), _u16553))) )).
% 29.00/29.26 cnf(matrix-6952, plain, ( ~class_Orderings_Olinorder(_u16554) | ~hBOOL(hAPP(hAPP(c_member(_u16554), hAPP(_u16555, _u16556)), hAPP(c_Set_Oimage(_u16557, _u16554, _u16555), hAPP(c_List_Oset(_u16557), _u16558)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16557, _u16554, _u16555, _u16556, _u16558) = _u16558) )).
% 29.00/29.26 cnf(matrix-6953, plain, ( ( c_Enum_Oproduct(_u16559, _u16560, hAPP(hAPP(c_List_Olist_OCons(_u16559), _u16561), _u16562), _u16563) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16559, _u16560)), hAPP(hAPP(c_List_Omap(_u16560, tc_prod(_u16559, _u16560)), hAPP(c_Product__Type_OPair(_u16559, _u16560), _u16561)), _u16563)), c_Enum_Oproduct(_u16559, _u16560, _u16562, _u16563))) )).
% 29.00/29.26 cnf(matrix-6954, plain, ( ~c_List_Olist__all2(_u16571, _u16573, _u16575, _u16577, _u16579) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16571)), _u16577) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16573)), _u16579)) )).
% 29.00/29.26 cnf(matrix-6955, plain, ( ~c_List_Olist__all2(_u16571, _u16573, _u16575, _u16577, _u16579) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16571, _u16573)), _u16564), hAPP(c_List_Oset(tc_prod(_u16571, _u16573)), hAPP(hAPP(c_List_Ozip(_u16571, _u16573), _u16577), _u16579)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16571, _u16573, tc_HOL_Obool), _u16575), _u16564)) )).
% 29.00/29.26 cnf(matrix-6956, plain, ( c_List_Olist__all2(_u16572, _u16574, _u16576, _u16578, _u16580) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16572)), _u16578) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16574)), _u16580)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16572, _u16574)), skolem376(_u16580, _u16578, _u16576, _u16574, _u16572)), hAPP(c_List_Oset(tc_prod(_u16572, _u16574)), hAPP(hAPP(c_List_Ozip(_u16572, _u16574), _u16578), _u16580)))) )).
% 29.00/29.26 cnf(matrix-6957, plain, ( c_List_Olist__all2(_u16572, _u16574, _u16576, _u16578, _u16580) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16572)), _u16578) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16574)), _u16580)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16572, _u16574, tc_HOL_Obool), _u16576), skolem376(_u16580, _u16578, _u16576, _u16574, _u16572))) )).
% 29.00/29.26 cnf(matrix-6958, plain, ( ~c_List_Olist__all2(_u16581, _u16582, _u16583, _u16584, _u16585) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16584) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16582)), _u16585)) )).
% 29.00/29.26 cnf(matrix-6959, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16586)), _u16587) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16589)) | ~c_List_Olist__all2(_u16586, _u16588, _u16590, hAPP(hAPP(c_List_Oappend(_u16586), _u16587), _u16591), hAPP(hAPP(c_List_Oappend(_u16588), _u16589), _u16592)) | c_List_Olist__all2(_u16586, _u16588, _u16590, _u16587, _u16589) )).
% 29.00/29.26 cnf(matrix-6960, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16586)), _u16587) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16589)) | ~c_List_Olist__all2(_u16586, _u16588, _u16590, hAPP(hAPP(c_List_Oappend(_u16586), _u16587), _u16591), hAPP(hAPP(c_List_Oappend(_u16588), _u16589), _u16592)) | c_List_Olist__all2(_u16586, _u16588, _u16590, _u16591, _u16592) )).
% 29.00/29.26 cnf(matrix-6961, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16586)), _u16587) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16589)) | ~c_List_Olist__all2(_u16586, _u16588, _u16590, _u16587, _u16589) | ~c_List_Olist__all2(_u16586, _u16588, _u16590, _u16591, _u16592) | c_List_Olist__all2(_u16586, _u16588, _u16590, hAPP(hAPP(c_List_Oappend(_u16586), _u16587), _u16591), hAPP(hAPP(c_List_Oappend(_u16588), _u16589), _u16592)) )).
% 29.00/29.26 cnf(matrix-6962, plain, ( ( _u16596 != _u16598) | c_List_Olist__all2(_u16600, _u16600, c_fequal, _u16596, _u16598) )).
% 29.00/29.26 cnf(matrix-6963, plain, ( ~c_List_Olist__all2(_u16601, _u16601, c_fequal, _u16597, _u16599) | ( _u16597 = _u16599) )).
% 29.00/29.26 cnf(matrix-6964, plain, ( ~c_List_Olist__all2(_u16602, _u16603, _u16604, _u16605, _u16606) | c_List_Olist__all2(_u16602, _u16603, _u16604, hAPP(hAPP(c_List_Otake(_u16602), _u16607), _u16605), hAPP(hAPP(c_List_Otake(_u16603), _u16607), _u16606)) )).
% 29.00/29.26 cnf(matrix-6965, plain, ( ~c_List_Olist__all2(_u16608, _u16609, _u16610, _u16611, _u16612) | ~c_List_Olist__all2(_u16608, _u16609, _u16610, _u16613, _u16614) | c_List_Olist__all2(_u16608, _u16609, _u16610, hAPP(hAPP(c_List_Oappend(_u16608), _u16611), _u16613), hAPP(hAPP(c_List_Oappend(_u16609), _u16612), _u16614)) )).
% 29.00/29.26 cnf(matrix-6966, plain, ( ~c_List_Olist__all2(_u16615, _u16616, _u16617, _u16618, _u16619) | c_List_Olist__all2(_u16615, _u16616, _u16617, hAPP(hAPP(c_List_Odrop(_u16615), _u16620), _u16618), hAPP(hAPP(c_List_Odrop(_u16616), _u16620), _u16619)) )).
% 29.00/29.26 cnf(matrix-6967, plain, ( ~c_List_Olist__all2(_u16628, _u16630, _u16632, hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16634), _u16636), hAPP(hAPP(c_List_Olist_OCons(_u16630), _u16638), _u16640)) | hBOOL(hAPP(hAPP(_u16632, _u16634), _u16638)) )).
% 29.00/29.26 cnf(matrix-6968, plain, ( ~c_List_Olist__all2(_u16628, _u16630, _u16632, hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16634), _u16636), hAPP(hAPP(c_List_Olist_OCons(_u16630), _u16638), _u16640)) | c_List_Olist__all2(_u16628, _u16630, _u16632, _u16636, _u16640) )).
% 29.00/29.26 cnf(matrix-6969, plain, ( ~hBOOL(hAPP(hAPP(_u16633, _u16635), _u16639)) | ~c_List_Olist__all2(_u16629, _u16631, _u16633, _u16637, _u16641) | c_List_Olist__all2(_u16629, _u16631, _u16633, hAPP(hAPP(c_List_Olist_OCons(_u16629), _u16635), _u16637), hAPP(hAPP(c_List_Olist_OCons(_u16631), _u16639), _u16641)) )).
% 29.00/29.26 cnf(matrix-6970, plain, ( ( _u16652 = c_List_Olist_ONil(_u16648)) | ~c_List_Olist__all2(_u16646, _u16648, _u16650, c_List_Olist_ONil(_u16646), _u16652) )).
% 29.00/29.26 cnf(matrix-6971, plain, ( ( _u16653 != c_List_Olist_ONil(_u16649)) | c_List_Olist__all2(_u16647, _u16649, _u16651, c_List_Olist_ONil(_u16647), _u16653) )).
% 29.00/29.26 cnf(matrix-6972, plain, ( ~c_List_Olist__all2(_u16658, _u16660, _u16662, _u16664, c_List_Olist_ONil(_u16660)) | ( _u16664 = c_List_Olist_ONil(_u16658)) )).
% 29.00/29.26 cnf(matrix-6973, plain, ( ( _u16665 != c_List_Olist_ONil(_u16659)) | c_List_Olist__all2(_u16659, _u16661, _u16663, _u16665, c_List_Olist_ONil(_u16661)) )).
% 29.00/29.26 cnf(matrix-6974, plain, ( ~c_List_Olist__all2(_u16673, _u16675, _u16677, hAPP(hAPP(c_List_Omap(_u16679, _u16673), _u16681), _u16683), _u16685) | c_List_Olist__all2(_u16679, _u16675, hAPP(hAPP(c_COMBB(_u16673, tc_fun(_u16675, tc_HOL_Obool), _u16679), _u16677), _u16681), _u16683, _u16685) )).
% 29.00/29.26 cnf(matrix-6975, plain, ( ~c_List_Olist__all2(_u16680, _u16676, hAPP(hAPP(c_COMBB(_u16674, tc_fun(_u16676, tc_HOL_Obool), _u16680), _u16678), _u16682), _u16684, _u16686) | c_List_Olist__all2(_u16674, _u16676, _u16678, hAPP(hAPP(c_List_Omap(_u16680, _u16674), _u16682), _u16684), _u16686) )).
% 29.00/29.26 cnf(matrix-6976, plain, ( ~c_List_Olist__all2(_u16694, _u16696, _u16698, _u16700, hAPP(hAPP(c_List_Omap(_u16702, _u16696), _u16704), _u16706)) | c_List_Olist__all2(_u16694, _u16702, hAPP(hAPP(c_COMBC(_u16694, tc_fun(_u16702, _u16696), tc_fun(_u16702, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16696, tc_HOL_Obool), tc_fun(tc_fun(_u16702, _u16696), tc_fun(_u16702, tc_HOL_Obool)), _u16694), c_COMBB(_u16696, tc_HOL_Obool, _u16702)), _u16698)), _u16704), _u16700, _u16706) )).
% 29.00/29.26 cnf(matrix-6977, plain, ( ~c_List_Olist__all2(_u16695, _u16703, hAPP(hAPP(c_COMBC(_u16695, tc_fun(_u16703, _u16697), tc_fun(_u16703, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16697, tc_HOL_Obool), tc_fun(tc_fun(_u16703, _u16697), tc_fun(_u16703, tc_HOL_Obool)), _u16695), c_COMBB(_u16697, tc_HOL_Obool, _u16703)), _u16699)), _u16705), _u16701, _u16707) | c_List_Olist__all2(_u16695, _u16697, _u16699, _u16701, hAPP(hAPP(c_List_Omap(_u16703, _u16697), _u16705), _u16707)) )).
% 29.00/29.26 cnf(matrix-6978, plain, ( ( c_Enum_Oproduct(_u16708, _u16709, c_List_Olist_ONil(_u16708), _u16710) = c_List_Olist_ONil(tc_prod(_u16708, _u16709))) )).
% 29.00/29.26 cnf(matrix-6979, plain, ( ~c_List_Olist__all2(_u16711, _u16712, _u16713, _u16714, _u16715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16716), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16712)), _u16715))) | hBOOL(hAPP(hAPP(_u16713, hAPP(hAPP(c_List_Onth(_u16711), _u16714), _u16716)), hAPP(hAPP(c_List_Onth(_u16712), _u16715), _u16716))) )).
% 29.00/29.26 cnf(matrix-6980, plain, ( ~c_List_Olist__all2(_u16717, _u16718, _u16719, _u16720, _u16721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16722), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16717)), _u16720))) | hBOOL(hAPP(hAPP(_u16719, hAPP(hAPP(c_List_Onth(_u16717), _u16720), _u16722)), hAPP(hAPP(c_List_Onth(_u16718), _u16721), _u16722))) )).
% 29.00/29.26 cnf(matrix-6981, plain, ( ~c_List_Olist__all2(_u16730, _u16732, _u16734, _u16736, _u16738) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16730)), _u16736) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16732)), _u16738)) )).
% 29.00/29.26 cnf(matrix-6982, plain, ( ~c_List_Olist__all2(_u16730, _u16732, _u16734, _u16736, _u16738) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16723), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16730)), _u16736))) | hBOOL(hAPP(hAPP(_u16734, hAPP(hAPP(c_List_Onth(_u16730), _u16736), _u16723)), hAPP(hAPP(c_List_Onth(_u16732), _u16738), _u16723))) )).
% 29.00/29.26 cnf(matrix-6983, plain, ( c_List_Olist__all2(_u16731, _u16733, _u16735, _u16737, _u16739) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16731)), _u16737) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16733)), _u16739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem377(_u16739, _u16737, _u16735, _u16733, _u16731)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16731)), _u16737))) )).
% 29.00/29.26 cnf(matrix-6984, plain, ( c_List_Olist__all2(_u16731, _u16733, _u16735, _u16737, _u16739) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16731)), _u16737) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16733)), _u16739)) | ~hBOOL(hAPP(hAPP(_u16735, hAPP(hAPP(c_List_Onth(_u16731), _u16737), skolem377(_u16739, _u16737, _u16735, _u16733, _u16731))), hAPP(hAPP(c_List_Onth(_u16733), _u16739), skolem377(_u16739, _u16737, _u16735, _u16733, _u16731)))) )).
% 29.00/29.26 cnf(matrix-6985, plain, ( ~c_List_Olist__all2(_u16740, _u16741, _u16742, _u16743, _u16744) | ~hBOOL(hAPP(hAPP(_u16742, _u16745), _u16746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16747), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16741)), _u16744))) | c_List_Olist__all2(_u16740, _u16741, _u16742, hAPP(hAPP(c_List_Olist__update(_u16740, _u16743), _u16747), _u16745), hAPP(hAPP(c_List_Olist__update(_u16741, _u16744), _u16747), _u16746)) )).
% 29.00/29.26 cnf(matrix-6986, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16748), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16749)), _u16750))) | ~c_List_Olist__all2(_u16749, _u16751, _u16752, _u16750, _u16753) | ~hBOOL(hAPP(hAPP(_u16752, _u16754), _u16755)) | c_List_Olist__all2(_u16749, _u16751, _u16752, hAPP(hAPP(c_List_Olist__update(_u16749, _u16750), _u16748), _u16754), hAPP(hAPP(c_List_Olist__update(_u16751, _u16753), _u16748), _u16755)) )).
% 29.00/29.26 cnf(matrix-6987, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16756), _u16757)) | ~hBOOL(hAPP(c_List_Odistinct(_u16758), _u16759)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16756, _u16758)), c_Enum_Oproduct(_u16756, _u16758, _u16757, _u16759))) )).
% 29.00/29.26 cnf(matrix-6988, plain, ( ( hAPP(c_List_Oset(tc_prod(_u16760, _u16761)), c_Enum_Oproduct(_u16760, _u16761, _u16762, _u16763)) = hAPP(hAPP(c_Product__Type_OSigma(_u16760, _u16761), hAPP(c_List_Oset(_u16760), _u16762)), hAPP(c_COMBK(tc_fun(_u16761, tc_HOL_Obool), _u16760), hAPP(c_List_Oset(_u16761), _u16763)))) )).
% 29.00/29.26 cnf(matrix-6989, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16764))), c_Enum_Osublists(_u16764, _u16765)) = 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(_u16764)), _u16765))) )).
% 29.00/29.26 cnf(matrix-6990, plain, ( ( c_Enum_Oenum__the(_u16766, _u16767) = c_HOL_OThe(_u16766, _u16767)) )).
% 29.00/29.26 cnf(matrix-6991, plain, ( ( c_Enum_Osublists(_u16768, c_List_Olist_ONil(_u16768)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16768)), c_List_Olist_ONil(_u16768)), c_List_Olist_ONil(tc_List_Olist(_u16768)))) )).
% 29.00/29.26 cnf(matrix-6992, plain, ( ( c_Enum_Osublists(_u16769, hAPP(hAPP(c_List_Olist_OCons(_u16769), _u16770), _u16771)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u16769)), tc_List_Olist(tc_List_Olist(_u16769))), c_Enum_Osublists(_u16769, _u16771)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u16769)), tc_List_Olist(tc_List_Olist(_u16769)), tc_List_Olist(tc_List_Olist(_u16769))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u16769)), tc_fun(tc_List_Olist(tc_List_Olist(_u16769)), tc_List_Olist(tc_List_Olist(_u16769))), tc_List_Olist(tc_List_Olist(_u16769))), c_List_Oappend(tc_List_Olist(_u16769))), hAPP(c_List_Omap(tc_List_Olist(_u16769), tc_List_Olist(_u16769)), hAPP(c_List_Olist_OCons(_u16769), _u16770)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u16769)))))) )).
% 29.00/29.26 cnf(matrix-6993, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16772), _u16773)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u16772, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16772), tc_fun(_u16772, tc_HOL_Obool)), c_List_Oset(_u16772)), c_Enum_Osublists(_u16772, _u16773)))) )).
% 29.00/29.26 cnf(matrix-6994, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u16774), tc_fun(_u16774, tc_HOL_Obool), c_List_Oset(_u16774)), hAPP(c_List_Oset(tc_List_Olist(_u16774)), c_Enum_Osublists(_u16774, _u16775))) = hAPP(c_Set_OPow(_u16774), hAPP(c_List_Oset(_u16774), _u16775))) )).
% 29.00/29.26 cnf(matrix-6995, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u16776)), c_Enum_On__lists(_u16776, _u16777, _u16778)) = hAPP(c_Set_OCollect(tc_List_Olist(_u16776)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16776), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16776)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16776), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16776)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16776)))), _u16777))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16776), tc_fun(_u16776, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16776, tc_HOL_Obool), tc_fun(tc_fun(_u16776, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16776)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16776, tc_HOL_Obool))), c_List_Oset(_u16776))), hAPP(c_List_Oset(_u16776), _u16778))))) )).
% 29.00/29.26 cnf(matrix-6996, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16780)), _u16782) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16781)), _u16783)) | c_List_Olist__all2(_u16780, _u16781, _u16784, _u16782, _u16783) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16780, _u16781)), skolem378(_u16784, _u16783, _u16782, _u16781, _u16780)), hAPP(c_List_Oset(tc_prod(_u16780, _u16781)), hAPP(hAPP(c_List_Ozip(_u16780, _u16781), _u16782), _u16783)))) )).
% 29.00/29.26 cnf(matrix-6997, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16780)), _u16782) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16781)), _u16783)) | c_List_Olist__all2(_u16780, _u16781, _u16784, _u16782, _u16783) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16780, _u16781, tc_HOL_Obool), _u16784), skolem378(_u16784, _u16783, _u16782, _u16781, _u16780))) )).
% 29.00/29.26 cnf(matrix-6998, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16785), _u16786)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u16785)), c_Enum_On__lists(_u16785, _u16787, _u16786))) )).
% 29.00/29.26 cnf(matrix-6999, plain, ( ( _u16790 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16792, _u16790, c_List_Olist_ONil(_u16792)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16792)), c_List_Olist_ONil(_u16792)), c_List_Olist_ONil(tc_List_Olist(_u16792)))) )).
% 29.00/29.26 cnf(matrix-7000, plain, ( ( _u16791 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16793, _u16791, c_List_Olist_ONil(_u16793)) = c_List_Olist_ONil(tc_List_Olist(_u16793))) )).
% 29.00/29.26 cnf(matrix-7001, plain, ( ( c_Enum_On__lists(_u16794, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16795) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16794)), c_List_Olist_ONil(_u16794)), c_List_Olist_ONil(tc_List_Olist(_u16794)))) )).
% 29.00/29.26 cnf(matrix-7002, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16796)), _u16797), hAPP(c_List_Oset(tc_List_Olist(_u16796)), c_Enum_On__lists(_u16796, _u16798, _u16799)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16796)), _u16797) = _u16798) )).
% 29.00/29.26 cnf(matrix-7003, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16800))), c_Enum_On__lists(_u16800, _u16801, _u16802)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16800)), _u16802)), _u16801)) )).
% 29.00/29.26 cnf(matrix-7004, plain, ( ~c_Fun_Oinj__on(_u16803, _u16804, _u16805, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16803, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u16803), tc_fun(_u16803, tc_HOL_Obool), c_List_Oset(_u16803)), _u16806))) | c_Fun_Oinj__on(tc_List_Olist(_u16803), tc_List_Olist(_u16804), hAPP(c_List_Omap(_u16803, _u16804), _u16805), _u16806) )).
% 29.00/29.26 cnf(matrix-7005, plain, ( ~c_Wellfounded_Owf(_u16807, _u16808) | ~c_Wellfounded_Owf(_u16807, _u16809) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16807, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16807, _u16807), _u16808)), hAPP(c_Relation_ORange(_u16807, _u16807), _u16809)) != c_Orderings_Obot__class_Obot(tc_fun(_u16807, tc_HOL_Obool))) | c_Wellfounded_Owf(_u16807, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16807, _u16807), tc_HOL_Obool)), _u16808), _u16809)) )).
% 29.00/29.26 cnf(matrix-7006, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16810, tc_HOL_Obool)), _u16811), _u16812)) | ~hBOOL(hAPP(hAPP(c_member(_u16810), _u16813), _u16811)) | hBOOL(hAPP(hAPP(c_member(_u16810), _u16813), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16810, tc_HOL_Obool), _u16812))) )).
% 29.00/29.26 cnf(matrix-7007, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16814, _u16815)), hAPP(hAPP(c_Product__Type_OPair(_u16814, _u16815), _u16816), _u16817)), _u16818)) | hBOOL(hAPP(hAPP(c_member(_u16814), _u16816), hAPP(c_Relation_ODomain(_u16814, _u16815), _u16818))) )).
% 29.00/29.26 cnf(matrix-7008, plain, ( ( hAPP(c_Relation_OField(_u16819), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16819, _u16819), tc_HOL_Obool), _u16820)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16819, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u16819, _u16819), tc_HOL_Obool), tc_fun(_u16819, tc_HOL_Obool), c_Relation_OField(_u16819)), _u16820))) )).
% 29.00/29.26 cnf(matrix-7009, plain, ( ( hAPP(c_Set_Oimage(_u16821, _u16822, _u16823), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16821, tc_HOL_Obool), _u16824)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16821, tc_HOL_Obool), tc_fun(_u16822, tc_HOL_Obool)), _u16824), c_Set_Oimage(_u16821, _u16822, _u16823))) )).
% 29.00/29.26 cnf(matrix-7010, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16825, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u16825, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u16825, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7011, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u16826, _u16827), tc_HOL_Obool)), _u16828), _u16829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16826, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16826, _u16827), _u16828)), hAPP(c_Relation_ODomain(_u16826, _u16827), _u16829))) )).
% 29.00/29.26 cnf(matrix-7012, plain, ( ~c_Equiv__Relations_Oequiv(_u16830, _u16831, _u16832) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16830, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u16830), _u16831), _u16832)) = _u16831) )).
% 29.00/29.26 cnf(matrix-7013, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16833, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16833, tc_HOL_Obool)), _u16834), _u16835)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16833, tc_HOL_Obool)), _u16834), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16833, tc_HOL_Obool), _u16835))) )).
% 29.00/29.26 cnf(matrix-7014, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16836, tc_HOL_Obool), tc_HOL_Obool)), _u16837), _u16838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16836, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16836, tc_HOL_Obool), _u16837)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16836, tc_HOL_Obool), _u16838))) )).
% 29.00/29.26 cnf(matrix-7015, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u16839, _u16840), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16839, tc_HOL_Obool), _u16841)), _u16842) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16839, tc_HOL_Obool), tc_fun(tc_prod(_u16839, _u16840), tc_HOL_Obool)), _u16841), hAPP(hAPP(c_COMBC(tc_fun(_u16839, tc_HOL_Obool), tc_fun(_u16839, tc_fun(_u16840, tc_HOL_Obool)), tc_fun(tc_prod(_u16839, _u16840), tc_HOL_Obool)), c_Product__Type_OSigma(_u16839, _u16840)), _u16842))) )).
% 29.00/29.26 cnf(matrix-7016, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16843, tc_HOL_Obool), _u16844) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16843, tc_HOL_Obool), tc_fun(_u16843, tc_HOL_Obool)), _u16844), c_COMBI(tc_fun(_u16843, tc_HOL_Obool)))) )).
% 29.00/29.26 cnf(matrix-7017, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16845, tc_HOL_Obool), tc_fun(_u16846, tc_HOL_Obool)), _u16847), hAPP(hAPP(c_COMBC(tc_fun(_u16845, tc_HOL_Obool), tc_fun(_u16845, tc_fun(_u16846, tc_HOL_Obool)), tc_fun(_u16846, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16845, tc_fun(_u16846, tc_HOL_Obool))), _u16848)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16845, tc_fun(_u16846, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16845, tc_HOL_Obool), _u16847)), _u16848)) )).
% 29.00/29.26 cnf(matrix-7018, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16849, tc_fun(_u16850, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16849, tc_HOL_Obool), _u16851)), _u16852) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16849, tc_HOL_Obool), tc_fun(_u16850, tc_HOL_Obool)), _u16851), hAPP(hAPP(c_COMBC(tc_fun(_u16849, tc_HOL_Obool), tc_fun(_u16849, tc_fun(_u16850, tc_HOL_Obool)), tc_fun(_u16850, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16849, tc_fun(_u16850, tc_HOL_Obool))), _u16852))) )).
% 29.00/29.26 cnf(matrix-7019, plain, ( ( hAPP(c_Relation_ODomain(_u16853, _u16854), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16853, _u16854), tc_HOL_Obool), _u16855)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u16853, _u16854), tc_HOL_Obool), tc_fun(_u16853, tc_HOL_Obool)), _u16855), c_Relation_ODomain(_u16853, _u16854))) )).
% 29.00/29.26 cnf(matrix-7020, plain, ( ( hAPP(c_Set_Ovimage(_u16856, _u16857, _u16858), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16857, tc_HOL_Obool), _u16859)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16857, tc_HOL_Obool), tc_fun(_u16856, tc_HOL_Obool)), _u16859), c_Set_Ovimage(_u16856, _u16857, _u16858))) )).
% 29.00/29.26 cnf(matrix-7021, plain, ( ( hAPP(c_Relation_ORange(_u16860, _u16861), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u16860, _u16861), tc_HOL_Obool), _u16862)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u16860, _u16861), tc_HOL_Obool), tc_fun(_u16861, tc_HOL_Obool)), _u16862), c_Relation_ORange(_u16860, _u16861))) )).
% 29.00/29.26 cnf(matrix-7022, plain, ( ( hAPP(c_Relation_ODomain(_u16863, _u16863), c_Relation_OId__on(_u16863, _u16864)) = _u16864) )).
% 29.00/29.26 cnf(matrix-7023, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16867) | ~class_Orderings_Olinorder(_u16867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), c_Complete__Lattice_OSup__class_OSup(_u16867, _u16869))) | hBOOL(hAPP(hAPP(c_member(_u16867), skolem379(_u16869, _u16868, _u16867)), _u16869)) )).
% 29.00/29.26 cnf(matrix-7024, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16867) | ~class_Orderings_Olinorder(_u16867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), c_Complete__Lattice_OSup__class_OSup(_u16867, _u16869))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), skolem379(_u16869, _u16868, _u16867))) )).
% 29.00/29.26 cnf(matrix-7025, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16867) | ~class_Orderings_Olinorder(_u16867) | ~hBOOL(hAPP(hAPP(c_member(_u16867), _u16866), _u16869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), _u16866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u16867), _u16868), c_Complete__Lattice_OSup__class_OSup(_u16867, _u16869))) )).
% 29.00/29.26 cnf(matrix-7026, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16870, tc_HOL_Obool), hAPP(c_Set_OPow(_u16870), _u16871)) = _u16871) )).
% 29.00/29.26 cnf(matrix-7027, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16872, tc_HOL_Obool)), _u16873), _u16874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16872, tc_HOL_Obool)), _u16873), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16872, tc_HOL_Obool), _u16874))) )).
% 29.00/29.26 cnf(matrix-7028, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), c_Complete__Lattice_OSup__class_OSup(_u16877, _u16878)), _u16879)) | ~hBOOL(hAPP(hAPP(c_member(_u16877), _u16875), _u16878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), _u16875), _u16879)) )).
% 29.00/29.26 cnf(matrix-7029, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16877) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), c_Complete__Lattice_OSup__class_OSup(_u16877, _u16878)), _u16879)) | hBOOL(hAPP(hAPP(c_member(_u16877), skolem380(_u16879, _u16878, _u16877)), _u16878)) )).
% 29.00/29.26 cnf(matrix-7030, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16877) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), c_Complete__Lattice_OSup__class_OSup(_u16877, _u16878)), _u16879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16877), skolem380(_u16879, _u16878, _u16877)), _u16879)) )).
% 29.00/29.26 cnf(matrix-7031, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16880, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16880, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16880, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7032, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u16881, tc_HOL_Obool), tc_HOL_Obool)), _u16882), hAPP(c_Set_OPow(_u16881), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16881, tc_HOL_Obool), _u16882)))) )).
% 29.00/29.26 cnf(matrix-7033, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16883), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16883, tc_HOL_Obool), _u16884))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u16883, tc_HOL_Obool)), _u16884)) )).
% 29.00/29.26 cnf(matrix-7034, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16885, tc_fun(_u16886, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16885, tc_HOL_Obool), _u16887)), _u16888) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16885, tc_HOL_Obool), tc_fun(_u16886, tc_HOL_Obool)), _u16887), hAPP(hAPP(c_COMBC(tc_fun(_u16885, tc_HOL_Obool), tc_fun(_u16885, tc_fun(_u16886, tc_HOL_Obool)), tc_fun(_u16886, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16885, tc_fun(_u16886, tc_HOL_Obool))), _u16888))) )).
% 29.00/29.26 cnf(matrix-7035, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u16889, tc_HOL_Obool), tc_fun(_u16890, tc_HOL_Obool)), _u16891), hAPP(hAPP(c_COMBC(tc_fun(_u16889, tc_HOL_Obool), tc_fun(_u16889, tc_fun(_u16890, tc_HOL_Obool)), tc_fun(_u16890, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16889, tc_fun(_u16890, tc_HOL_Obool))), _u16892)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16889, tc_fun(_u16890, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16889, tc_HOL_Obool), _u16891)), _u16892)) )).
% 29.00/29.26 cnf(matrix-7036, plain, ( ( hAPP(c_Relation_ODomain(_u16896, _u16898), _u16900) != c_Orderings_Obot__class_Obot(tc_fun(_u16896, tc_HOL_Obool))) | ( _u16900 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u16896, _u16898), tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7037, plain, ( ( _u16901 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u16897, _u16899), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u16897, _u16899), _u16901) = c_Orderings_Obot__class_Obot(tc_fun(_u16897, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7038, plain, ( ( hAPP(c_Relation_ODomain(_u16902, _u16903), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u16902, _u16903), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u16902, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7039, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16909, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16909, tc_HOL_Obool), _u16911)), _u16913) != c_Orderings_Obot__class_Obot(tc_fun(_u16909, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u16909, tc_HOL_Obool)), _u16904), _u16911)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16909, tc_HOL_Obool)), _u16904), _u16913) = c_Orderings_Obot__class_Obot(tc_fun(_u16909, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7040, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16910, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16910, tc_HOL_Obool), _u16912)), _u16914) = c_Orderings_Obot__class_Obot(tc_fun(_u16910, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u16910, tc_HOL_Obool)), skolem381(_u16914, _u16912, _u16910)), _u16912)) )).
% 29.00/29.26 cnf(matrix-7041, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16910, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16910, tc_HOL_Obool), _u16912)), _u16914) = c_Orderings_Obot__class_Obot(tc_fun(_u16910, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16910, tc_HOL_Obool)), skolem381(_u16914, _u16912, _u16910)), _u16914) != c_Orderings_Obot__class_Obot(tc_fun(_u16910, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7042, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16915, tc_HOL_Obool)), _u16916), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16915, tc_HOL_Obool), _u16917)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16915, tc_HOL_Obool), tc_fun(_u16915, tc_HOL_Obool)), _u16917), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16915, tc_HOL_Obool)), _u16916))) )).
% 29.00/29.26 cnf(matrix-7043, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16918, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16918, tc_HOL_Obool), _u16919)), _u16920) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u16918, tc_HOL_Obool), tc_fun(_u16918, tc_HOL_Obool)), _u16919), hAPP(hAPP(c_COMBC(tc_fun(_u16918, tc_HOL_Obool), tc_fun(_u16918, tc_HOL_Obool), tc_fun(_u16918, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16918, tc_HOL_Obool))), _u16920))) )).
% 29.00/29.26 cnf(matrix-7044, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16921, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u16921, tc_HOL_Obool), tc_HOL_Obool)), _u16922), _u16923)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16921, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16921, tc_HOL_Obool), _u16922)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16921, tc_HOL_Obool), _u16923))) )).
% 29.00/29.26 cnf(matrix-7045, plain, ( ( hAPP(c_Relation_ODomain(_u16924, _u16925), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u16924, _u16925), tc_HOL_Obool)), _u16926), _u16927)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16924, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16924, _u16925), _u16926)), hAPP(c_Relation_ODomain(_u16924, _u16925), _u16927))) )).
% 29.00/29.26 cnf(matrix-7046, plain, ( ( hAPP(c_Relation_ODomain(_u16928, _u16928), c_Relation_OId(_u16928)) = c_Orderings_Otop__class_Otop(tc_fun(_u16928, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7047, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16929, tc_fun(_u16930, tc_HOL_Obool)), _u16931), _u16932) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16930, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16929, tc_fun(_u16930, tc_HOL_Obool), _u16932), _u16931))) )).
% 29.00/29.26 cnf(matrix-7048, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16933, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16934, tc_fun(_u16933, tc_HOL_Obool), _u16935), _u16936)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16934, tc_fun(_u16933, tc_HOL_Obool)), _u16936), _u16935)) )).
% 29.00/29.26 cnf(matrix-7049, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u16937, _u16938)), _u16939)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16937), hAPP(c_Relation_ODomain(_u16937, _u16938), _u16939))) )).
% 29.00/29.26 cnf(matrix-7050, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16940) | ~hBOOL(hAPP(hAPP(c_member(_u16940), _u16941), _u16942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16940), _u16941), c_Complete__Lattice_OSup__class_OSup(_u16940, _u16942))) )).
% 29.00/29.26 cnf(matrix-7051, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u16943, _u16944), _u16943, c_Product__Type_Ofst(_u16943, _u16944)), _u16945) = hAPP(c_Relation_ODomain(_u16943, _u16944), _u16945)) )).
% 29.00/29.26 cnf(matrix-7052, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16946) | ( c_Complete__Lattice_OSup__class_OSup(_u16946, c_Orderings_Obot__class_Obot(tc_fun(_u16946, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u16946)) )).
% 29.00/29.26 cnf(matrix-7053, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16947) | ( c_Complete__Lattice_OSup__class_OSup(_u16947, hAPP(hAPP(c_Set_Oinsert(_u16947), _u16948), c_Orderings_Obot__class_Obot(tc_fun(_u16947, tc_HOL_Obool)))) = _u16948) )).
% 29.00/29.26 cnf(matrix-7054, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16949) | ( c_Complete__Lattice_OSup__class_OSup(_u16949, hAPP(hAPP(c_Set_Oinsert(_u16949), _u16950), _u16951)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16949), _u16950), c_Complete__Lattice_OSup__class_OSup(_u16949, _u16951))) )).
% 29.00/29.26 cnf(matrix-7055, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16952) | ( c_Complete__Lattice_OSup__class_OSup(_u16952, c_Orderings_Otop__class_Otop(tc_fun(_u16952, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u16952)) )).
% 29.00/29.26 cnf(matrix-7056, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16959), _u16961), hAPP(c_Relation_ODomain(_u16959, _u16963), _u16965))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16959, _u16963)), hAPP(hAPP(c_Product__Type_OPair(_u16959, _u16963), _u16961), skolem382(_u16965, _u16963, _u16961, _u16959))), _u16965)) )).
% 29.00/29.26 cnf(matrix-7057, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16960, _u16964)), hAPP(hAPP(c_Product__Type_OPair(_u16960, _u16964), _u16962), _u16954)), _u16966)) | hBOOL(hAPP(hAPP(c_member(_u16960), _u16962), hAPP(c_Relation_ODomain(_u16960, _u16964), _u16966))) )).
% 29.00/29.26 cnf(matrix-7058, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16967, tc_HOL_Obool)), _u16968), _u16969) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16967, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16967, tc_HOL_Obool)), _u16968), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u16967, tc_HOL_Obool)), _u16969), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u16967, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 29.00/29.26 cnf(matrix-7059, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16970, tc_fun(_u16971, tc_HOL_Obool)), _u16972), hAPP(hAPP(c_COMBS(_u16970, tc_fun(_u16971, tc_HOL_Obool), tc_fun(_u16971, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16971, tc_HOL_Obool), tc_fun(tc_fun(_u16971, tc_HOL_Obool), tc_fun(_u16971, tc_HOL_Obool)), _u16970), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16971, tc_HOL_Obool))), _u16973)), _u16974)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16971, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16971, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16970, tc_fun(_u16971, tc_HOL_Obool), _u16973), _u16972))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16971, tc_HOL_Obool), hAPP(c_Set_Oimage(_u16970, tc_fun(_u16971, tc_HOL_Obool), _u16974), _u16972)))) )).
% 29.00/29.26 cnf(matrix-7060, plain, ( ( hAPP(c_Relation_ODomain(_u16975, _u16976), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u16975, _u16976)), hAPP(hAPP(c_Product__Type_OPair(_u16975, _u16976), _u16977), _u16978)), _u16979)) = hAPP(hAPP(c_Set_Oinsert(_u16975), _u16977), hAPP(c_Relation_ODomain(_u16975, _u16976), _u16979))) )).
% 29.00/29.26 cnf(matrix-7061, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16980, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16980, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u16980, tc_HOL_Obool), tc_HOL_Obool)), _u16981), _u16982))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16980, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16980, tc_HOL_Obool), _u16981)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16980, tc_HOL_Obool), _u16982)))) )).
% 29.00/29.26 cnf(matrix-7062, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16983, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16983, _u16984), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u16983, _u16984), tc_HOL_Obool)), _u16985), _u16986))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16983, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16983, _u16984), _u16985)), hAPP(c_Relation_ODomain(_u16983, _u16984), _u16986)))) )).
% 29.00/29.26 cnf(matrix-7063, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16987, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16987, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16987, _u16988), _u16989)), hAPP(c_Relation_ODomain(_u16987, _u16988), _u16990))), hAPP(c_Relation_ODomain(_u16987, _u16988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u16987, _u16988), tc_HOL_Obool)), _u16989), _u16990)))) )).
% 29.00/29.26 cnf(matrix-7064, plain, ( ( hAPP(c_Relation_OField(_u16991), _u16992) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16991, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u16991, _u16991), _u16992)), hAPP(c_Relation_ORange(_u16991, _u16991), _u16992))) )).
% 29.00/29.26 cnf(matrix-7065, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16993) | ( c_Complete__Lattice_OSup__class_OSup(_u16993, hAPP(hAPP(c_Set_Oinsert(_u16993), _u16994), hAPP(hAPP(c_Set_Oinsert(_u16993), _u16995), c_Orderings_Obot__class_Obot(tc_fun(_u16993, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u16993), _u16994), _u16995)) )).
% 29.00/29.26 cnf(matrix-7066, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16996) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16996), _u16997)) | ( _u16997 = c_Orderings_Obot__class_Obot(tc_fun(_u16996, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16996, _u16997) = c_Complete__Lattice_OSup__class_OSup(_u16996, _u16997)) )).
% 29.00/29.26 cnf(matrix-7067, plain, ( ( hAPP(c_Relation_ODomain(_u16998, _u16999), hAPP(c_Set_OCollect(tc_prod(_u16998, _u16999)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16998, _u16999, tc_HOL_Obool), _u17000))) = hAPP(c_Set_OCollect(_u16998), hAPP(hAPP(c_COMBB(tc_fun(_u16999, tc_HOL_Obool), tc_HOL_Obool, _u16998), c_HOL_OEx(_u16999)), _u17000))) )).
% 29.00/29.26 cnf(matrix-7068, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17001) | ( c_Complete__Lattice_OSup__class_OSup(_u17001, hAPP(c_List_Oset(_u17001), _u17002)) = hAPP(c_List_Ofoldl(_u17001, _u17001, c_Lattices_Osemilattice__sup__class_Osup(_u17001), c_Orderings_Obot__class_Obot(_u17001)), _u17002)) )).
% 29.00/29.26 cnf(matrix-7069, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u17007, _u17009, hAPP(hAPP(c_COMBC(_u17007, tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_fun(_u17009, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17009, tc_fun(tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_fun(_u17009, tc_HOL_Obool)), _u17007), c_COMBC(_u17009, tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17009, tc_prod(_u17007, _u17009)), tc_fun(_u17009, tc_fun(tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_HOL_Obool)), _u17007), hAPP(c_COMBB(tc_prod(_u17007, _u17009), tc_fun(tc_fun(tc_prod(_u17007, _u17009), tc_HOL_Obool), tc_HOL_Obool), _u17009), c_member(tc_prod(_u17007, _u17009)))), c_Product__Type_OPair(_u17007, _u17009)))), _u17011)), _u17013)) | hBOOL(hAPP(hAPP(c_member(_u17007), _u17013), hAPP(c_Relation_ODomain(_u17007, _u17009), _u17011))) )).
% 29.00/29.26 cnf(matrix-7070, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17008), _u17014), hAPP(c_Relation_ODomain(_u17008, _u17010), _u17012))) | hBOOL(hAPP(c_Predicate_ODomainP(_u17008, _u17010, hAPP(hAPP(c_COMBC(_u17008, tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_fun(_u17010, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17010, tc_fun(tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_fun(_u17010, tc_HOL_Obool)), _u17008), c_COMBC(_u17010, tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17010, tc_prod(_u17008, _u17010)), tc_fun(_u17010, tc_fun(tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_HOL_Obool)), _u17008), hAPP(c_COMBB(tc_prod(_u17008, _u17010), tc_fun(tc_fun(tc_prod(_u17008, _u17010), tc_HOL_Obool), tc_HOL_Obool), _u17010), c_member(tc_prod(_u17008, _u17010)))), c_Product__Type_OPair(_u17008, _u17010)))), _u17012)), _u17014)) )).
% 29.00/29.26 cnf(matrix-7071, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17016, tc_HOL_Obool)), _u17017)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17016), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17016, tc_HOL_Obool), _u17017))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17016, tc_HOL_Obool)), skolem383(_u17017, _u17016)), _u17017)) )).
% 29.00/29.26 cnf(matrix-7072, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17016, tc_HOL_Obool)), _u17017)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17016), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17016, tc_HOL_Obool), _u17017))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17016), skolem383(_u17017, _u17016))) )).
% 29.00/29.26 cnf(matrix-7073, plain, ( ~hBOOL(hAPP(hAPP(_u17018, _u17019), _u17020)) | hBOOL(hAPP(c_Predicate_ODomainP(_u17021, _u17022, _u17018), _u17019)) )).
% 29.00/29.26 cnf(matrix-7074, plain, ( hBOOL(hAPP(hAPP(_u17033, _u17035), skolem384(_u17035, _u17033))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u17029, _u17031, _u17033), _u17035)) )).
% 29.00/29.26 cnf(matrix-7075, plain, ( ~hBOOL(hAPP(hAPP(_u17034, _u17036), _u17024)) | hBOOL(hAPP(c_Predicate_ODomainP(_u17030, _u17032, _u17034), _u17036)) )).
% 29.00/29.26 cnf(matrix-7076, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), _u17040), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17039, tc_HOL_Obool), _u17041)) = c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), skolem385(_u17041, _u17040, _u17039)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041))) )).
% 29.00/29.26 cnf(matrix-7077, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), _u17040), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17039, tc_HOL_Obool), _u17041)) = c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), skolem386(_u17041, _u17040, _u17039)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041))) )).
% 29.00/29.26 cnf(matrix-7078, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), _u17040), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17039, tc_HOL_Obool), _u17041)) = c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) | ( skolem385(_u17041, _u17040, _u17039) != skolem386(_u17041, _u17040, _u17039)) )).
% 29.00/29.26 cnf(matrix-7079, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u17039, tc_HOL_Obool)), _u17040), _u17041)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), _u17040), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17039, tc_HOL_Obool), _u17041)) = c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17039, tc_HOL_Obool)), skolem385(_u17041, _u17040, _u17039)), skolem386(_u17041, _u17040, _u17039)) != c_Orderings_Obot__class_Obot(tc_fun(_u17039, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7080, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17043), _u17044), hAPP(c_Relation_ODomain(_u17043, _u17045), _u17046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17043, _u17045)), hAPP(hAPP(c_Product__Type_OPair(_u17043, _u17045), _u17044), skolem387(_u17046, _u17045, _u17044, _u17043))), _u17046)) )).
% 29.00/29.26 cnf(matrix-7081, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17047) | ( c_Complete__Lattice_OSup__class_OSup(_u17047, _u17048) = c_Complete__Lattice_OInf__class_OInf(_u17047, hAPP(c_Set_OCollect(_u17047), hAPP(hAPP(c_COMBB(tc_fun(_u17047, tc_HOL_Obool), tc_HOL_Obool, _u17047), c_HOL_OAll(_u17047)), hAPP(hAPP(c_COMBB(tc_fun(_u17047, tc_HOL_Obool), tc_fun(_u17047, tc_HOL_Obool), _u17047), hAPP(c_COMBS(_u17047, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17047), c_fimplies), hAPP(hAPP(c_COMBC(_u17047, tc_fun(_u17047, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17047)), _u17048)))), hAPP(c_COMBC(_u17047, _u17047, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u17047))))))) )).
% 29.00/29.26 cnf(matrix-7082, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17049) | ( c_Complete__Lattice_OInf__class_OInf(_u17049, _u17050) = c_Complete__Lattice_OSup__class_OSup(_u17049, hAPP(c_Set_OCollect(_u17049), hAPP(hAPP(c_COMBB(tc_fun(_u17049, tc_HOL_Obool), tc_HOL_Obool, _u17049), c_HOL_OAll(_u17049)), hAPP(hAPP(c_COMBB(tc_fun(_u17049, tc_HOL_Obool), tc_fun(_u17049, tc_HOL_Obool), _u17049), hAPP(c_COMBS(_u17049, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17049), c_fimplies), hAPP(hAPP(c_COMBC(_u17049, tc_fun(_u17049, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17049)), _u17050)))), c_Orderings_Oord__class_Oless__eq(_u17049)))))) )).
% 29.00/29.26 cnf(matrix-7083, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17052, tc_HOL_Obool)), _u17051), _u17053)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17052), _u17051)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17052), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17052, tc_HOL_Obool), _u17053))) )).
% 29.00/29.26 cnf(matrix-7084, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17054), _u17055), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17054, tc_HOL_Obool), _u17056))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17054, tc_HOL_Obool)), _u17057), _u17056)) | hBOOL(hAPP(hAPP(c_member(_u17054), _u17055), _u17057)) )).
% 29.00/29.26 cnf(matrix-7085, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17058), _u17059), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17058, tc_HOL_Obool), _u17060))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17058, tc_HOL_Obool)), _u17061), _u17060)) | hBOOL(hAPP(hAPP(c_member(_u17058), _u17059), _u17061)) )).
% 29.00/29.26 cnf(matrix-7086, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17062, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17062, tc_HOL_Obool)), _u17063), _u17064)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17062, tc_HOL_Obool)), _u17063), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17062, tc_HOL_Obool), _u17064))) )).
% 29.00/29.26 cnf(matrix-7087, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17065, tc_HOL_Obool), _u17066) = hAPP(c_Set_OCollect(_u17065), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17065, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u17065), c_HOL_OAll(tc_fun(_u17065, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u17065, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u17065, tc_HOL_Obool), tc_HOL_Obool), _u17065), hAPP(c_COMBS(tc_fun(_u17065, 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(_u17065, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u17065, tc_HOL_Obool), tc_fun(tc_fun(_u17065, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u17065, tc_HOL_Obool))), _u17066)))), c_member(_u17065))))) )).
% 29.00/29.26 cnf(matrix-7088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u17067, tc_HOL_Obool), tc_HOL_Obool)), _u17068), _u17069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17067, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17067, tc_HOL_Obool), _u17069)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17067, tc_HOL_Obool), _u17068))) )).
% 29.00/29.26 cnf(matrix-7089, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17070, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17070, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u17070, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7090, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), c_Complete__Lattice_OInf__class_OInf(_u17073, _u17075))) | ~hBOOL(hAPP(hAPP(c_member(_u17073), _u17071), _u17075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), _u17071)) )).
% 29.00/29.26 cnf(matrix-7091, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), c_Complete__Lattice_OInf__class_OInf(_u17073, _u17075))) | hBOOL(hAPP(hAPP(c_member(_u17073), skolem388(_u17075, _u17074, _u17073)), _u17075)) )).
% 29.00/29.26 cnf(matrix-7092, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), c_Complete__Lattice_OInf__class_OInf(_u17073, _u17075))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17073), _u17074), skolem388(_u17075, _u17074, _u17073))) )).
% 29.00/29.26 cnf(matrix-7093, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17078) | ~class_Orderings_Olinorder(_u17078) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), c_Complete__Lattice_OInf__class_OInf(_u17078, _u17079)), _u17080)) | hBOOL(hAPP(hAPP(c_member(_u17078), skolem389(_u17080, _u17079, _u17078)), _u17079)) )).
% 29.00/29.26 cnf(matrix-7094, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17078) | ~class_Orderings_Olinorder(_u17078) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), c_Complete__Lattice_OInf__class_OInf(_u17078, _u17079)), _u17080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), skolem389(_u17080, _u17079, _u17078)), _u17080)) )).
% 29.00/29.26 cnf(matrix-7095, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17078) | ~class_Orderings_Olinorder(_u17078) | ~hBOOL(hAPP(hAPP(c_member(_u17078), _u17077), _u17079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), _u17077), _u17080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u17078), c_Complete__Lattice_OInf__class_OInf(_u17078, _u17079)), _u17080)) )).
% 29.00/29.26 cnf(matrix-7096, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u17081, tc_HOL_Obool)), _u17082), _u17083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17081, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17081, tc_HOL_Obool), _u17083)), _u17082)) )).
% 29.00/29.26 cnf(matrix-7097, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17084, tc_HOL_Obool), _u17085) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17084, tc_HOL_Obool), tc_fun(_u17084, tc_HOL_Obool)), _u17085), c_COMBI(tc_fun(_u17084, tc_HOL_Obool)))) )).
% 29.00/29.26 cnf(matrix-7098, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17086, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u17086, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u17086, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7099, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17087) | ~hBOOL(hAPP(hAPP(c_member(_u17087), _u17088), _u17089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17087), c_Complete__Lattice_OInf__class_OInf(_u17087, _u17089)), _u17088)) )).
% 29.00/29.26 cnf(matrix-7100, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17090, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u17090, tc_HOL_Obool), tc_HOL_Obool)), _u17091), _u17092)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17090, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17090, tc_HOL_Obool), _u17091)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17090, tc_HOL_Obool), _u17092))) )).
% 29.00/29.26 cnf(matrix-7101, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17093) | ( c_Complete__Lattice_OInf__class_OInf(_u17093, hAPP(hAPP(c_Set_Oinsert(_u17093), _u17094), c_Orderings_Obot__class_Obot(tc_fun(_u17093, tc_HOL_Obool)))) = _u17094) )).
% 29.00/29.26 cnf(matrix-7102, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17095) | ( c_Complete__Lattice_OInf__class_OInf(_u17095, c_Orderings_Obot__class_Obot(tc_fun(_u17095, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u17095)) )).
% 29.00/29.26 cnf(matrix-7103, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17096) | ( c_Complete__Lattice_OInf__class_OInf(_u17096, c_Orderings_Otop__class_Otop(tc_fun(_u17096, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u17096)) )).
% 29.00/29.26 cnf(matrix-7104, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17097) | ( c_Complete__Lattice_OInf__class_OInf(_u17097, hAPP(hAPP(c_Set_Oinsert(_u17097), _u17098), _u17099)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17097), _u17098), c_Complete__Lattice_OInf__class_OInf(_u17097, _u17099))) )).
% 29.00/29.26 cnf(matrix-7105, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17100, tc_fun(_u17101, tc_HOL_Obool)), _u17102), _u17103) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17101, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17100, tc_fun(_u17101, tc_HOL_Obool), _u17103), _u17102))) )).
% 29.00/29.26 cnf(matrix-7106, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17104, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17105, tc_fun(_u17104, tc_HOL_Obool), _u17106), _u17107)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17105, tc_fun(_u17104, tc_HOL_Obool)), _u17107), _u17106)) )).
% 29.00/29.26 cnf(matrix-7107, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17108, tc_HOL_Obool)), _u17109), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17108, tc_HOL_Obool), _u17110)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u17108, tc_HOL_Obool), tc_fun(_u17108, tc_HOL_Obool)), _u17110), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17108, tc_HOL_Obool)), _u17109))) )).
% 29.00/29.26 cnf(matrix-7108, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17111, tc_HOL_Obool)), _u17112), _u17113) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17111, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17111, tc_HOL_Obool)), _u17112), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u17111, tc_HOL_Obool)), _u17113), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u17111, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 29.00/29.26 cnf(matrix-7109, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17114, tc_fun(_u17115, tc_HOL_Obool)), _u17116), hAPP(hAPP(c_COMBS(_u17114, tc_fun(_u17115, tc_HOL_Obool), tc_fun(_u17115, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17115, tc_HOL_Obool), tc_fun(tc_fun(_u17115, tc_HOL_Obool), tc_fun(_u17115, tc_HOL_Obool)), _u17114), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17115, tc_HOL_Obool))), _u17117)), _u17118)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17115, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17115, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17114, tc_fun(_u17115, tc_HOL_Obool), _u17117), _u17116))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17115, tc_HOL_Obool), hAPP(c_Set_Oimage(_u17114, tc_fun(_u17115, tc_HOL_Obool), _u17118), _u17116)))) )).
% 29.00/29.26 cnf(matrix-7110, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17119, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17119, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17119, tc_HOL_Obool), _u17120)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17119, tc_HOL_Obool), _u17121))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u17119, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u17119, tc_HOL_Obool), tc_HOL_Obool)), _u17120), _u17121)))) )).
% 29.00/29.26 cnf(matrix-7111, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17122) | ( c_Complete__Lattice_OInf__class_OInf(_u17122, hAPP(hAPP(c_Set_Oinsert(_u17122), _u17123), hAPP(hAPP(c_Set_Oinsert(_u17122), _u17124), c_Orderings_Obot__class_Obot(tc_fun(_u17122, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u17122), _u17123), _u17124)) )).
% 29.00/29.26 cnf(matrix-7112, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17125), _u17126)) | ( _u17126 = c_Orderings_Obot__class_Obot(tc_fun(_u17125, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17125, _u17126) = c_Complete__Lattice_OInf__class_OInf(_u17125, _u17126)) )).
% 29.00/29.26 cnf(matrix-7113, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17127) | ( c_Complete__Lattice_OInf__class_OInf(_u17127, hAPP(c_List_Oset(_u17127), _u17128)) = hAPP(c_List_Ofoldl(_u17127, _u17127, c_Lattices_Osemilattice__inf__class_Oinf(_u17127), c_Orderings_Otop__class_Otop(_u17127)), _u17128)) )).
% 29.00/29.26 cnf(matrix-7114, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem390(_u17134, _u17133, _u17132)), _u17133)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem391(_u17134, _u17133, _u17132)), _u17133)) )).
% 29.00/29.26 cnf(matrix-7115, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem390(_u17134, _u17133, _u17132)), _u17133)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem392(_u17134, _u17133, _u17132)), _u17133)) )).
% 29.00/29.26 cnf(matrix-7116, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem390(_u17134, _u17133, _u17132)), _u17133)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( skolem391(_u17134, _u17133, _u17132) != skolem392(_u17134, _u17133, _u17132)) )).
% 29.00/29.26 cnf(matrix-7117, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem390(_u17134, _u17133, _u17132)), _u17133)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17132, tc_HOL_Obool)), skolem391(_u17134, _u17133, _u17132)), skolem392(_u17134, _u17133, _u17132)) != c_Orderings_Obot__class_Obot(tc_fun(_u17132, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7118, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(c_Finite__Set_Ocard(_u17132), skolem390(_u17134, _u17133, _u17132)) != _u17134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem391(_u17134, _u17133, _u17132)), _u17133)) )).
% 29.00/29.26 cnf(matrix-7119, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(c_Finite__Set_Ocard(_u17132), skolem390(_u17134, _u17133, _u17132)) != _u17134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u17132, tc_HOL_Obool)), skolem392(_u17134, _u17133, _u17132)), _u17133)) )).
% 29.00/29.26 cnf(matrix-7120, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(c_Finite__Set_Ocard(_u17132), skolem390(_u17134, _u17133, _u17132)) != _u17134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( skolem391(_u17134, _u17133, _u17132) != skolem392(_u17134, _u17133, _u17132)) )).
% 29.00/29.26 cnf(matrix-7121, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(c_Finite__Set_Ocard(_u17132), skolem390(_u17134, _u17133, _u17132)) != _u17134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17134), hAPP(c_Finite__Set_Ocard(tc_fun(_u17132, tc_HOL_Obool)), _u17133)) = hAPP(c_Finite__Set_Ocard(_u17132), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17132, tc_HOL_Obool), _u17133))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17132, tc_HOL_Obool)), skolem391(_u17134, _u17133, _u17132)), skolem392(_u17134, _u17133, _u17132)) != c_Orderings_Obot__class_Obot(tc_fun(_u17132, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7122, plain, ( c_Wellfounded_Owf(tc_prod(_u17139, _u17137), c_Recdef_Osame__fst(_u17139, _u17137, _u17136, _u17138)) | hBOOL(hAPP(_u17136, skolem393(_u17139, _u17138, _u17137, _u17136))) )).
% 29.00/29.26 cnf(matrix-7123, plain, ( c_Wellfounded_Owf(tc_prod(_u17139, _u17137), c_Recdef_Osame__fst(_u17139, _u17137, _u17136, _u17138)) | ~c_Wellfounded_Owf(_u17137, hAPP(_u17138, skolem393(_u17139, _u17138, _u17137, _u17136))) )).
% 29.00/29.26 cnf(matrix-7124, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17141), _u17144), hAPP(c_List_Oset(_u17141), _u17142))) | hBOOL(hAPP(_u17143, _u17144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem394(_u17144, _u17143, _u17142, _u17141)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17141)), _u17142))) )).
% 29.00/29.26 cnf(matrix-7125, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17141), _u17144), hAPP(c_List_Oset(_u17141), _u17142))) | hBOOL(hAPP(_u17143, _u17144)) | ~hBOOL(hAPP(_u17143, hAPP(hAPP(c_List_Onth(_u17141), _u17142), skolem394(_u17144, _u17143, _u17142, _u17141)))) )).
% 29.00/29.26 cnf(matrix-7126, plain, ( ~c_Fun_Oinj__on(_u17145, _u17146, _u17147, hAPP(hAPP(c_Set_Oinsert(_u17145), _u17148), hAPP(c_List_Oset(_u17145), _u17149))) | ( hAPP(hAPP(c_List_Omap(_u17145, _u17146), _u17147), hAPP(c_List_OremoveAll(_u17145, _u17148), _u17149)) = hAPP(c_List_OremoveAll(_u17146, hAPP(_u17147, _u17148)), hAPP(hAPP(c_List_Omap(_u17145, _u17146), _u17147), _u17149))) )).
% 29.00/29.26 cnf(matrix-7127, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17150), _u17151)) | hBOOL(hAPP(c_List_Odistinct(_u17150), hAPP(c_List_OremoveAll(_u17150, _u17152), _u17151))) )).
% 29.00/29.26 cnf(matrix-7128, plain, ( ( hAPP(c_List_OremoveAll(_u17153, _u17154), c_List_Olist_ONil(_u17153)) = c_List_Olist_ONil(_u17153)) )).
% 29.00/29.26 cnf(matrix-7129, plain, ( ( _u17159 != _u17161) | ( hAPP(c_List_OremoveAll(_u17163, _u17159), hAPP(hAPP(c_List_Olist_OCons(_u17163), _u17161), _u17165)) = hAPP(c_List_OremoveAll(_u17163, _u17159), _u17165)) )).
% 29.00/29.26 cnf(matrix-7130, plain, ( ( _u17160 = _u17162) | ( hAPP(c_List_OremoveAll(_u17164, _u17160), hAPP(hAPP(c_List_Olist_OCons(_u17164), _u17162), _u17166)) = hAPP(hAPP(c_List_Olist_OCons(_u17164), _u17162), hAPP(c_List_OremoveAll(_u17164, _u17160), _u17166))) )).
% 29.00/29.26 cnf(matrix-7131, plain, ( ( hAPP(c_List_OremoveAll(_u17167, _u17168), hAPP(hAPP(c_List_Oappend(_u17167), _u17169), _u17170)) = hAPP(hAPP(c_List_Oappend(_u17167), hAPP(c_List_OremoveAll(_u17167, _u17168), _u17169)), hAPP(c_List_OremoveAll(_u17167, _u17168), _u17170))) )).
% 29.00/29.26 cnf(matrix-7132, plain, ( hBOOL(hAPP(hAPP(c_member(_u17171), _u17172), hAPP(c_List_Oset(_u17171), _u17173))) | ( hAPP(c_List_OremoveAll(_u17171, _u17172), _u17173) = _u17173) )).
% 29.00/29.26 cnf(matrix-7133, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17174), _u17175)) | ( c_List_Oremove1(_u17174, _u17176, _u17175) = hAPP(c_List_OremoveAll(_u17174, _u17176), _u17175)) )).
% 29.00/29.26 cnf(matrix-7134, plain, ( ~c_Fun_Oinj__on(_u17177, _u17178, _u17179, c_Orderings_Otop__class_Otop(tc_fun(_u17177, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17177, _u17178), _u17179), hAPP(c_List_OremoveAll(_u17177, _u17180), _u17181)) = hAPP(c_List_OremoveAll(_u17178, hAPP(_u17179, _u17180)), hAPP(hAPP(c_List_Omap(_u17177, _u17178), _u17179), _u17181))) )).
% 29.00/29.26 cnf(matrix-7135, plain, ( ( hAPP(c_List_Oset(_u17182), hAPP(c_List_OremoveAll(_u17182, _u17183), _u17184)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17182, tc_HOL_Obool)), hAPP(c_List_Oset(_u17182), _u17184)), hAPP(hAPP(c_Set_Oinsert(_u17182), _u17183), c_Orderings_Obot__class_Obot(tc_fun(_u17182, tc_HOL_Obool))))) )).
% 29.00/29.26 cnf(matrix-7136, plain, ( hBOOL(hAPP(hAPP(c_member(_u17185), _u17186), hAPP(c_List_Oset(_u17185), _u17187))) | ( c_List_Oinsert(_u17185, _u17186, _u17187) = hAPP(hAPP(c_List_Olist_OCons(_u17185), _u17186), _u17187)) )).
% 29.00/29.26 cnf(matrix-7137, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17191), _u17193), hAPP(c_List_Oset(_u17191), _u17195))) | ( c_List_Oinsert(_u17191, _u17193, _u17195) = _u17195) )).
% 29.00/29.26 cnf(matrix-7138, plain, ( hBOOL(hAPP(hAPP(c_member(_u17192), _u17194), hAPP(c_List_Oset(_u17192), _u17196))) | ( c_List_Oinsert(_u17192, _u17194, _u17196) = hAPP(hAPP(c_List_Olist_OCons(_u17192), _u17194), _u17196)) )).
% 29.00/29.26 cnf(matrix-7139, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17197), _u17198)) | hBOOL(hAPP(c_List_Odistinct(_u17197), c_List_Oinsert(_u17197, _u17199, _u17198))) )).
% 29.00/29.26 cnf(matrix-7140, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17200), _u17201), hAPP(c_List_Oset(_u17200), _u17202))) | ( c_List_Oinsert(_u17200, _u17201, _u17202) = _u17202) )).
% 29.00/29.26 cnf(matrix-7141, plain, ( ( hAPP(c_List_Oset(_u17203), c_List_Oinsert(_u17203, _u17204, _u17205)) = hAPP(hAPP(c_Set_Oinsert(_u17203), _u17204), hAPP(c_List_Oset(_u17203), _u17205))) )).
% 29.00/29.26 cnf(matrix-7142, plain, ( ( c_List_Oinsert(_u17206, _u17207, c_List_Olist_ONil(_u17206)) = hAPP(hAPP(c_List_Olist_OCons(_u17206), _u17207), c_List_Olist_ONil(_u17206))) )).
% 29.00/29.26 cnf(matrix-7143, plain, ( ( c_Enum_On__lists(_u17208, hAPP(c_Nat_OSuc, _u17209), _u17210) = c_List_Oconcat(tc_List_Olist(_u17208), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17208), tc_List_Olist(tc_List_Olist(_u17208))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17208), tc_List_Olist(_u17208), tc_List_Olist(tc_List_Olist(_u17208))), hAPP(hAPP(c_COMBB(tc_fun(_u17208, tc_List_Olist(_u17208)), tc_fun(tc_List_Olist(_u17208), tc_List_Olist(tc_List_Olist(_u17208))), tc_List_Olist(_u17208)), c_List_Omap(_u17208, tc_List_Olist(_u17208))), hAPP(c_COMBC(_u17208, tc_List_Olist(_u17208), tc_List_Olist(_u17208)), c_List_Olist_OCons(_u17208)))), _u17210)), c_Enum_On__lists(_u17208, _u17209, _u17210)))) )).
% 29.00/29.26 cnf(matrix-7144, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17211)), hAPP(c_List_Ofilter(_u17211, _u17212), _u17213)) = 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(_u17211)), _u17213)))), hAPP(hAPP(c_COMBB(_u17211, tc_HOL_Obool, tc_Nat_Onat), _u17212), hAPP(c_List_Onth(_u17211), _u17213)))))) )).
% 29.00/29.26 cnf(matrix-7145, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17214), _u17215)) | hBOOL(hAPP(c_List_Odistinct(_u17214), hAPP(c_List_Ofilter(_u17214, _u17216), _u17215))) )).
% 29.00/29.26 cnf(matrix-7146, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17217)), hAPP(c_List_Ofilter(_u17217, _u17218), _u17219))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17217)), _u17219))) )).
% 29.00/29.26 cnf(matrix-7147, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17220)), hAPP(c_List_Ofilter(_u17220, _u17221), _u17222))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17220)), hAPP(c_List_Ofilter(_u17220, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17220), c_fNot), _u17221)), _u17222))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17220)), _u17222)) )).
% 29.00/29.26 cnf(matrix-7148, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17223), tc_List_Olist(_u17223)), c_List_Opartition(_u17223, _u17224, _u17225)) = hAPP(c_List_Ofilter(_u17223, _u17224), _u17225)) )).
% 29.00/29.26 cnf(matrix-7149, plain, ( ( hAPP(c_List_Ofilter(_u17226, _u17227), hAPP(c_List_Ofilter(_u17226, _u17228), _u17229)) = hAPP(c_List_Ofilter(_u17226, hAPP(hAPP(c_COMBS(_u17226, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17226), c_fconj), _u17228)), _u17227)), _u17229)) )).
% 29.00/29.26 cnf(matrix-7150, plain, ( hBOOL(hAPP(_u17230, _u17231)) | ( c_List_Oremove1(_u17232, _u17231, hAPP(c_List_Ofilter(_u17232, _u17230), _u17233)) = hAPP(c_List_Ofilter(_u17232, _u17230), _u17233)) )).
% 29.00/29.26 cnf(matrix-7151, plain, ( ( hAPP(c_List_Ofilter(_u17234, _u17235), c_List_Oremove1(_u17234, _u17236, _u17237)) = c_List_Oremove1(_u17234, _u17236, hAPP(c_List_Ofilter(_u17234, _u17235), _u17237))) )).
% 29.00/29.26 cnf(matrix-7152, plain, ( ~class_Orderings_Olinorder(_u17238) | hBOOL(hAPP(_u17239, _u17240)) | ( hAPP(c_List_Ofilter(_u17241, _u17239), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17241, _u17238, _u17242), _u17240), _u17243)) = hAPP(c_List_Ofilter(_u17241, _u17239), _u17243)) )).
% 29.00/29.26 cnf(matrix-7153, plain, ( ( hAPP(c_List_Ofilter(_u17244, _u17245), hAPP(hAPP(c_List_Omap(_u17246, _u17244), _u17247), _u17248)) = hAPP(hAPP(c_List_Omap(_u17246, _u17244), _u17247), hAPP(c_List_Ofilter(_u17246, hAPP(c_Fun_Ocomp(_u17244, tc_HOL_Obool, _u17246, _u17245), _u17247)), _u17248))) )).
% 29.00/29.26 cnf(matrix-7154, plain, ( ( hAPP(c_List_Ofilter(_u17249, _u17250), c_List_Oconcat(_u17249, _u17251)) = c_List_Oconcat(_u17249, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17249), tc_List_Olist(_u17249)), c_List_Ofilter(_u17249, _u17250)), _u17251))) )).
% 29.00/29.26 cnf(matrix-7155, plain, ( ( hAPP(c_List_Ofilter(_u17257, _u17259), _u17261) != c_List_Olist_ONil(_u17257)) | ~hBOOL(hAPP(hAPP(c_member(_u17257), _u17252), hAPP(c_List_Oset(_u17257), _u17261))) | ~hBOOL(hAPP(_u17259, _u17252)) )).
% 29.00/29.26 cnf(matrix-7156, plain, ( ( hAPP(c_List_Ofilter(_u17258, _u17260), _u17262) = c_List_Olist_ONil(_u17258)) | hBOOL(hAPP(hAPP(c_member(_u17258), skolem395(_u17262, _u17260, _u17258)), hAPP(c_List_Oset(_u17258), _u17262))) )).
% 29.00/29.26 cnf(matrix-7157, plain, ( ( hAPP(c_List_Ofilter(_u17258, _u17260), _u17262) = c_List_Olist_ONil(_u17258)) | hBOOL(hAPP(_u17260, skolem395(_u17262, _u17260, _u17258))) )).
% 29.00/29.26 cnf(matrix-7158, plain, ( ( hAPP(c_List_Ofilter(_u17263, _u17264), c_List_Olist_ONil(_u17263)) = c_List_Olist_ONil(_u17263)) )).
% 29.00/29.26 cnf(matrix-7159, plain, ( ~hBOOL(hAPP(_u17269, _u17271)) | ( hAPP(c_List_Ofilter(_u17273, _u17269), hAPP(hAPP(c_List_Olist_OCons(_u17273), _u17271), _u17275)) = hAPP(hAPP(c_List_Olist_OCons(_u17273), _u17271), hAPP(c_List_Ofilter(_u17273, _u17269), _u17275))) )).
% 29.00/29.26 cnf(matrix-7160, plain, ( hBOOL(hAPP(_u17270, _u17272)) | ( hAPP(c_List_Ofilter(_u17274, _u17270), hAPP(hAPP(c_List_Olist_OCons(_u17274), _u17272), _u17276)) = hAPP(c_List_Ofilter(_u17274, _u17270), _u17276)) )).
% 29.00/29.26 cnf(matrix-7161, plain, ( ( hAPP(c_List_Ofilter(_u17277, _u17278), hAPP(hAPP(c_List_Oappend(_u17277), _u17279), _u17280)) = hAPP(hAPP(c_List_Oappend(_u17277), hAPP(c_List_Ofilter(_u17277, _u17278), _u17279)), hAPP(c_List_Ofilter(_u17277, _u17278), _u17280))) )).
% 29.00/29.26 cnf(matrix-7162, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17281, tc_HOL_Obool)), hAPP(c_List_Oset(_u17281), hAPP(c_List_Ofilter(_u17281, _u17282), _u17283))), hAPP(c_List_Oset(_u17281), _u17283))) )).
% 29.00/29.26 cnf(matrix-7163, plain, ( ( hAPP(c_List_Ofilter(_u17289, _u17291), _u17293) != _u17293) | ~hBOOL(hAPP(hAPP(c_member(_u17289), _u17284), hAPP(c_List_Oset(_u17289), _u17293))) | hBOOL(hAPP(_u17291, _u17284)) )).
% 29.00/29.26 cnf(matrix-7164, plain, ( ( hAPP(c_List_Ofilter(_u17290, _u17292), _u17294) = _u17294) | hBOOL(hAPP(hAPP(c_member(_u17290), skolem396(_u17294, _u17292, _u17290)), hAPP(c_List_Oset(_u17290), _u17294))) )).
% 29.00/29.26 cnf(matrix-7165, plain, ( ( hAPP(c_List_Ofilter(_u17290, _u17292), _u17294) = _u17294) | ~hBOOL(hAPP(_u17292, skolem396(_u17294, _u17292, _u17290))) )).
% 29.00/29.26 cnf(matrix-7166, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17295), tc_List_Olist(_u17295), c_List_Oappend(_u17295), _u17296), _u17297) = hAPP(hAPP(c_List_Oappend(_u17295), _u17296), c_List_Oconcat(_u17295, _u17297))) )).
% 29.00/29.26 cnf(matrix-7167, plain, ( ( c_List_Oconcat(_u17298, _u17299) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17298), tc_List_Olist(_u17298), c_List_Oappend(_u17298), c_List_Olist_ONil(_u17298)), _u17299)) )).
% 29.00/29.26 cnf(matrix-7168, plain, ( hBOOL(hAPP(_u17300, _u17301)) | ( hAPP(c_List_OremoveAll(_u17302, _u17301), hAPP(c_List_Ofilter(_u17302, _u17300), _u17303)) = hAPP(c_List_Ofilter(_u17302, _u17300), _u17303)) )).
% 29.00/29.26 cnf(matrix-7169, plain, ( ( c_List_OremoveAll(_u17304, _u17305) = c_List_Ofilter(_u17304, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17304), c_fNot), hAPP(c_fequal, _u17305)))) )).
% 29.00/29.26 cnf(matrix-7170, plain, ( ( c_List_Oconcat(_u17306, c_List_Olist_ONil(tc_List_Olist(_u17306))) = c_List_Olist_ONil(_u17306)) )).
% 29.00/29.26 cnf(matrix-7171, plain, ( ( c_List_Oconcat(_u17307, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17307)), _u17308), _u17309)) = hAPP(hAPP(c_List_Oappend(_u17307), _u17308), c_List_Oconcat(_u17307, _u17309))) )).
% 29.00/29.26 cnf(matrix-7172, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17310), tc_List_Olist(_u17310)), c_List_Opartition(_u17310, _u17311, _u17312)) = hAPP(c_List_Ofilter(_u17310, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17310, c_fNot), _u17311)), _u17312)) )).
% 29.00/29.26 cnf(matrix-7173, plain, ( ( c_List_Oconcat(_u17317, _u17319) != c_List_Olist_ONil(_u17317)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17317)), _u17313), hAPP(c_List_Oset(tc_List_Olist(_u17317)), _u17319))) | ( _u17313 = c_List_Olist_ONil(_u17317)) )).
% 29.00/29.26 cnf(matrix-7174, plain, ( ( c_List_Oconcat(_u17318, _u17320) = c_List_Olist_ONil(_u17318)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17318)), skolem397(_u17320, _u17318)), hAPP(c_List_Oset(tc_List_Olist(_u17318)), _u17320))) )).
% 29.00/29.26 cnf(matrix-7175, plain, ( ( c_List_Oconcat(_u17318, _u17320) = c_List_Olist_ONil(_u17318)) | ( skolem397(_u17320, _u17318) != c_List_Olist_ONil(_u17318)) )).
% 29.00/29.26 cnf(matrix-7176, plain, ( ( c_List_Olist_ONil(_u17325) != c_List_Oconcat(_u17325, _u17327)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17325)), _u17321), hAPP(c_List_Oset(tc_List_Olist(_u17325)), _u17327))) | ( _u17321 = c_List_Olist_ONil(_u17325)) )).
% 29.00/29.26 cnf(matrix-7177, plain, ( ( c_List_Olist_ONil(_u17326) = c_List_Oconcat(_u17326, _u17328)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17326)), skolem398(_u17328, _u17326)), hAPP(c_List_Oset(tc_List_Olist(_u17326)), _u17328))) )).
% 29.00/29.26 cnf(matrix-7178, plain, ( ( c_List_Olist_ONil(_u17326) = c_List_Oconcat(_u17326, _u17328)) | ( skolem398(_u17328, _u17326) != c_List_Olist_ONil(_u17326)) )).
% 29.00/29.26 cnf(matrix-7179, plain, ( ( hAPP(hAPP(c_List_Omap(_u17329, _u17330), _u17331), c_List_Oconcat(_u17329, _u17332)) = c_List_Oconcat(_u17330, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17329), tc_List_Olist(_u17330)), hAPP(c_List_Omap(_u17329, _u17330), _u17331)), _u17332))) )).
% 29.00/29.26 cnf(matrix-7180, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17333)), c_List_Oconcat(_u17333, _u17334)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17333), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17333))), _u17334))) )).
% 29.00/29.26 cnf(matrix-7181, plain, ( ( c_List_Oconcat(tc_List_Olist(_u17335), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17335), tc_List_Olist(tc_List_Olist(_u17335))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17335)), _u17335, c_List_Olist_ONil(tc_List_Olist(_u17335)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17335), tc_List_Olist(tc_List_Olist(_u17335))), _u17335), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17335), tc_List_Olist(tc_List_Olist(_u17335)), tc_List_Olist(tc_List_Olist(_u17335))), c_List_Olist_OCons(tc_List_Olist(_u17335))), c_List_Olist_ONil(tc_List_Olist(_u17335)))))), _u17336)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17335), tc_List_Olist(_u17335)), c_List_Otl(_u17335)), hAPP(c_List_Ofilter(tc_List_Olist(_u17335), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17335)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17335), tc_List_Olist(_u17335), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17335)))), _u17336))) )).
% 29.00/29.26 cnf(matrix-7182, plain, ( ( hAPP(c_List_Oset(_u17337), hAPP(c_List_Ofilter(_u17337, _u17338), _u17339)) = hAPP(c_Set_OCollect(_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), hAPP(hAPP(c_COMBC(_u17337, tc_fun(_u17337, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17337)), hAPP(c_List_Oset(_u17337), _u17339)))), _u17338))) )).
% 29.00/29.26 cnf(matrix-7183, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17340)), hAPP(c_List_Ofilter(_u17340, _u17341), hAPP(hAPP(c_List_Omap(_u17342, _u17340), _u17343), _u17344))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17342)), hAPP(c_List_Ofilter(_u17342, hAPP(c_Fun_Ocomp(_u17340, tc_HOL_Obool, _u17342, _u17341), _u17343)), _u17344))) )).
% 29.00/29.26 cnf(matrix-7184, plain, ( ( hAPP(c_List_Oset(_u17345), c_List_Oconcat(_u17345, _u17346)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17345), tc_fun(_u17345, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17345)), _u17346)), c_List_Oset(_u17345))) )).
% 29.00/29.26 cnf(matrix-7185, plain, ( ( c_List_Oconcat(_u17347, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17347), tc_List_Olist(_u17347)), c_List_Olist_Olist__case(tc_List_Olist(_u17347), _u17347, c_List_Olist_ONil(_u17347), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17347), tc_fun(tc_List_Olist(_u17347), tc_List_Olist(_u17347)), _u17347), c_COMBK(tc_List_Olist(_u17347), tc_List_Olist(_u17347))), hAPP(hAPP(c_COMBC(_u17347, tc_List_Olist(_u17347), tc_List_Olist(_u17347)), c_List_Olist_OCons(_u17347)), c_List_Olist_ONil(_u17347))))), _u17348)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17347), _u17347), c_List_Ohd(_u17347)), hAPP(c_List_Ofilter(tc_List_Olist(_u17347), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17347)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17347), tc_List_Olist(_u17347), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17347)))), _u17348))) )).
% 29.00/29.26 cnf(matrix-7186, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17349), _u17350), hAPP(c_List_Oset(_u17349), _u17351))) | hBOOL(hAPP(_u17352, _u17350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17349)), hAPP(c_List_Ofilter(_u17349, _u17352), _u17351))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17349)), _u17351))) )).
% 29.00/29.26 cnf(matrix-7187, plain, ( ( c_List_Oconcat(_u17353, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17353)), _u17354), _u17355)) = hAPP(hAPP(c_List_Oappend(_u17353), c_List_Oconcat(_u17353, _u17354)), c_List_Oconcat(_u17353, _u17355))) )).
% 29.00/29.26 cnf(matrix-7188, plain, ( ( c_List_Opartition(_u17356, _u17357, _u17358) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17356), tc_List_Olist(_u17356)), hAPP(c_List_Ofilter(_u17356, _u17357), _u17358)), hAPP(c_List_Ofilter(_u17356, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17356, c_fNot), _u17357)), _u17358))) )).
% 29.00/29.26 cnf(matrix-7189, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17359, tc_Nat_Onat), _u17359), c_Product__Type_Ofst(_u17359, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17359, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17359, tc_Nat_Onat)), _u17360), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u17359, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u17359, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u17359, tc_Nat_Onat), _u17361), _u17362))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17359, tc_Nat_Onat), _u17359), c_Product__Type_Ofst(_u17359, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17359, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17359, tc_Nat_Onat)), _u17360), c_Product__Type_Osnd(_u17359, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u17359, tc_Nat_Onat), _u17361), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u17362))))) )).
% 29.00/29.26 cnf(matrix-7190, plain, ( ( c_Random_Opick(_u17363, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17363), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17363, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17363, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17363)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17364)) = c_Random_Opick(_u17363, _u17364)) )).
% 29.00/29.26 cnf(matrix-7191, plain, ( ( c_Random_Oselect__weight(_u17365, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17365), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17365, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17365, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17365)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17366)) = c_Random_Oselect__weight(_u17365, _u17366)) )).
% 29.00/29.26 cnf(matrix-7192, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17367, tc_HOL_Obool)), hAPP(c_List_Oset(_u17367), _u17368)), hAPP(hAPP(c_Set_Oinsert(_u17367), _u17369), c_Orderings_Obot__class_Obot(tc_fun(_u17367, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u17367), hAPP(c_List_Ofilter(_u17367, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17367), c_fNot), hAPP(hAPP(c_COMBC(_u17367, _u17367, tc_HOL_Obool), c_fequal), _u17369))), _u17368))) )).
% 29.00/29.26 cnf(matrix-7193, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17370), _u17371)) | ( hAPP(c_List_Ofilter(_u17370, hAPP(hAPP(c_COMBC(_u17370, tc_fun(_u17370, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17370)), hAPP(c_List_Oset(_u17370), c_List_Osublist(_u17370, _u17371, _u17372)))), _u17371) = c_List_Osublist(_u17370, _u17371, _u17372)) )).
% 29.00/29.26 cnf(matrix-7194, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17374), tc_List_Olist(_u17374))), skolem399(_u17376, _u17375, _u17374)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17374), tc_List_Olist(_u17374))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17374), tc_List_Olist(_u17374)), _u17375), _u17376)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17375) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17376)) | ( c_List_Oconcat(_u17374, _u17375) != c_List_Oconcat(_u17374, _u17376)) | ( _u17375 = _u17376) )).
% 29.00/29.26 cnf(matrix-7195, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17374), tc_List_Olist(_u17374))), skolem399(_u17376, _u17375, _u17374)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17374), tc_List_Olist(_u17374))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17374), tc_List_Olist(_u17374)), _u17375), _u17376)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17375) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17376)) | ( _u17375 != _u17376) | ( c_List_Oconcat(_u17374, _u17375) = c_List_Oconcat(_u17374, _u17376)) )).
% 29.00/29.26 cnf(matrix-7196, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17374), tc_List_Olist(_u17374), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17374), tc_fun(tc_List_Olist(_u17374), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17374), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17374), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17374), tc_HOL_Obool)), tc_List_Olist(_u17374)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17374))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17374)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17374))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17374)))), skolem399(_u17376, _u17375, _u17374))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17375) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17376)) | ( c_List_Oconcat(_u17374, _u17375) != c_List_Oconcat(_u17374, _u17376)) | ( _u17375 = _u17376) )).
% 29.00/29.26 cnf(matrix-7197, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17374), tc_List_Olist(_u17374), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17374), tc_fun(tc_List_Olist(_u17374), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17374), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17374), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17374), tc_HOL_Obool)), tc_List_Olist(_u17374)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17374))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17374)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17374))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17374)))), skolem399(_u17376, _u17375, _u17374))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17375) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17374))), _u17376)) | ( _u17375 != _u17376) | ( c_List_Oconcat(_u17374, _u17375) = c_List_Oconcat(_u17374, _u17376)) )).
% 29.00/29.26 cnf(matrix-7198, plain, ( ( c_List_Oconcat(_u17378, _u17379) != c_List_Oconcat(_u17378, _u17380)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17378))), _u17379) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17378))), _u17380)) | ( _u17379 = _u17380) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17378), tc_List_Olist(_u17378))), skolem400(_u17380, _u17379, _u17378)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17378), tc_List_Olist(_u17378))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17378), tc_List_Olist(_u17378)), _u17379), _u17380)))) )).
% 29.00/29.26 cnf(matrix-7199, plain, ( ( c_List_Oconcat(_u17378, _u17379) != c_List_Oconcat(_u17378, _u17380)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17378))), _u17379) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17378))), _u17380)) | ( _u17379 = _u17380) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17378), tc_List_Olist(_u17378), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17378), tc_fun(tc_List_Olist(_u17378), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17378), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17378), tc_HOL_Obool)), tc_List_Olist(_u17378)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17378))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17378)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17378))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17378)))), skolem400(_u17380, _u17379, _u17378))) )).
% 29.00/29.26 cnf(matrix-7200, plain, ( ( c_List_Oconcat(_u17381, hAPP(hAPP(c_List_Omap(_u17382, tc_List_Olist(_u17381)), hAPP(hAPP(c_COMBC(_u17382, tc_List_Olist(_u17381), tc_List_Olist(_u17381)), hAPP(hAPP(c_COMBB(_u17381, tc_fun(tc_List_Olist(_u17381), tc_List_Olist(_u17381)), _u17382), c_List_Olist_OCons(_u17381)), _u17383)), c_List_Olist_ONil(_u17381))), _u17384)) = hAPP(hAPP(c_List_Omap(_u17382, _u17381), _u17383), _u17384)) )).
% 29.00/29.26 cnf(matrix-7201, plain, ( ( c_List_Otranspose(_u17385, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17385)), hAPP(hAPP(c_List_Olist_OCons(_u17385), _u17386), _u17387)), _u17388)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17385)), hAPP(hAPP(c_List_Olist_OCons(_u17385), _u17386), c_List_Oconcat(_u17385, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17385), tc_List_Olist(_u17385)), c_List_Olist_Olist__case(tc_List_Olist(_u17385), _u17385, c_List_Olist_ONil(_u17385), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17385), tc_fun(tc_List_Olist(_u17385), tc_List_Olist(_u17385)), _u17385), c_COMBK(tc_List_Olist(_u17385), tc_List_Olist(_u17385))), hAPP(hAPP(c_COMBC(_u17385, tc_List_Olist(_u17385), tc_List_Olist(_u17385)), c_List_Olist_OCons(_u17385)), c_List_Olist_ONil(_u17385))))), _u17388)))), c_List_Otranspose(_u17385, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17385)), _u17387), c_List_Oconcat(tc_List_Olist(_u17385), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17385), tc_List_Olist(tc_List_Olist(_u17385))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17385)), _u17385, c_List_Olist_ONil(tc_List_Olist(_u17385)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17385), tc_List_Olist(tc_List_Olist(_u17385))), _u17385), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17385), tc_List_Olist(tc_List_Olist(_u17385)), tc_List_Olist(tc_List_Olist(_u17385))), c_List_Olist_OCons(tc_List_Olist(_u17385))), c_List_Olist_ONil(tc_List_Olist(_u17385)))))), _u17388)))))) )).
% 29.00/29.26 cnf(matrix-7202, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17389)), c_List_Otranspose__rel(_u17389)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), hAPP(hAPP(c_List_Olist_OCons(_u17389), _u17390), _u17391)), _u17392))) | ( c_List_Otranspose(_u17389, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), hAPP(hAPP(c_List_Olist_OCons(_u17389), _u17390), _u17391)), _u17392)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), hAPP(hAPP(c_List_Olist_OCons(_u17389), _u17390), c_List_Oconcat(_u17389, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17389), tc_List_Olist(_u17389)), c_List_Olist_Olist__case(tc_List_Olist(_u17389), _u17389, c_List_Olist_ONil(_u17389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17389), tc_fun(tc_List_Olist(_u17389), tc_List_Olist(_u17389)), _u17389), c_COMBK(tc_List_Olist(_u17389), tc_List_Olist(_u17389))), hAPP(hAPP(c_COMBC(_u17389, tc_List_Olist(_u17389), tc_List_Olist(_u17389)), c_List_Olist_OCons(_u17389)), c_List_Olist_ONil(_u17389))))), _u17392)))), c_List_Otranspose(_u17389, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), _u17391), c_List_Oconcat(tc_List_Olist(_u17389), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17389), tc_List_Olist(tc_List_Olist(_u17389))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17389)), _u17389, c_List_Olist_ONil(tc_List_Olist(_u17389)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17389), tc_List_Olist(tc_List_Olist(_u17389))), _u17389), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17389), tc_List_Olist(tc_List_Olist(_u17389)), tc_List_Olist(tc_List_Olist(_u17389))), c_List_Olist_OCons(tc_List_Olist(_u17389))), c_List_Olist_ONil(tc_List_Olist(_u17389)))))), _u17392)))))) )).
% 29.00/29.26 cnf(matrix-7203, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17393)), c_List_Otranspose__rel(_u17393)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17393)), c_List_Olist_ONil(_u17393)), _u17394))) | ( c_List_Otranspose(_u17393, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17393)), c_List_Olist_ONil(_u17393)), _u17394)) = c_List_Otranspose(_u17393, _u17394)) )).
% 29.00/29.26 cnf(matrix-7204, plain, ( ( c_List_Otranspose(_u17395, c_List_Olist_ONil(tc_List_Olist(_u17395))) = c_List_Olist_ONil(tc_List_Olist(_u17395))) )).
% 29.00/29.26 cnf(matrix-7205, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17396)), c_List_Otranspose__rel(_u17396)), c_List_Olist_ONil(tc_List_Olist(_u17396)))) | ( c_List_Otranspose(_u17396, c_List_Olist_ONil(tc_List_Olist(_u17396))) = c_List_Olist_ONil(tc_List_Olist(_u17396))) )).
% 29.00/29.26 cnf(matrix-7206, plain, ( ( c_List_Otranspose(_u17397, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17397)), c_List_Olist_ONil(_u17397)), _u17398)) = c_List_Otranspose(_u17397, _u17398)) )).
% 29.00/29.26 cnf(matrix-7207, plain, ( ( c_List_Otranspose(_u17399, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17400), tc_List_Olist(_u17399)), hAPP(c_List_Omap(_u17400, _u17399), _u17401)), _u17402)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17400), tc_List_Olist(_u17399)), hAPP(c_List_Omap(_u17400, _u17399), _u17401)), c_List_Otranspose(_u17400, _u17402))) )).
% 29.00/29.26 cnf(matrix-7208, plain, ( ( c_List_Otranspose(_u17407, _u17409) != c_List_Olist_ONil(tc_List_Olist(_u17407))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17407)), _u17403), hAPP(c_List_Oset(tc_List_Olist(_u17407)), _u17409))) | ( _u17403 = c_List_Olist_ONil(_u17407)) )).
% 29.00/29.26 cnf(matrix-7209, plain, ( ( c_List_Otranspose(_u17408, _u17410) = c_List_Olist_ONil(tc_List_Olist(_u17408))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17408)), skolem401(_u17410, _u17408)), hAPP(c_List_Oset(tc_List_Olist(_u17408)), _u17410))) )).
% 29.00/29.26 cnf(matrix-7210, plain, ( ( c_List_Otranspose(_u17408, _u17410) = c_List_Olist_ONil(tc_List_Olist(_u17408))) | ( skolem401(_u17410, _u17408) != c_List_Olist_ONil(_u17408)) )).
% 29.00/29.26 cnf(matrix-7211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17411), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17412))), c_List_Otranspose(_u17412, _u17413)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17412)), c_List_Otranspose(_u17412, _u17413)), _u17411) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17412), _u17412), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17412), tc_Nat_Onat, _u17412), c_List_Onth(_u17412)), _u17411)), hAPP(c_List_Ofilter(tc_List_Olist(_u17412), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17412)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17411)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17412)))), _u17413))) )).
% 29.00/29.26 cnf(matrix-7212, plain, ( ( c_List_Osublist(_u17414, _u17415, _u17416) = hAPP(hAPP(c_List_Omap(tc_prod(_u17414, tc_Nat_Onat), _u17414), c_Product__Type_Ofst(_u17414, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17414, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17414, 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(_u17414, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17414, tc_Nat_Onat))), _u17416)), hAPP(hAPP(c_List_Ozip(_u17414, tc_Nat_Onat), _u17415), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17414)), _u17415)))))) )).
% 29.00/29.26 cnf(matrix-7213, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17417, tc_Nat_Onat), _u17417), c_Product__Type_Ofst(_u17417, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17417, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17417, 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(_u17417, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17417, tc_Nat_Onat))), _u17418)), hAPP(hAPP(c_List_Ozip(_u17417, tc_Nat_Onat), _u17419), c_List_Oupt(_u17420, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17420), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17417)), _u17419)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17417, tc_Nat_Onat), _u17417), c_Product__Type_Ofst(_u17417, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17417, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17417, 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(_u17417, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u17417, 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(_u17417, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u17417, tc_Nat_Onat))), _u17420))), _u17418)), hAPP(hAPP(c_List_Ozip(_u17417, tc_Nat_Onat), _u17419), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17417)), _u17419)))))) )).
% 29.00/29.26 cnf(matrix-7214, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17421), _u17422) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17421, _u17422))) )).
% 29.00/29.26 cnf(matrix-7215, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17423, _u17424)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17423), _u17424)) )).
% 29.00/29.26 cnf(matrix-7216, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u17425, _u17426))) )).
% 29.00/29.26 cnf(matrix-7217, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17427), _u17428)) = c_List_Oupt(_u17427, _u17428)) )).
% 29.00/29.26 cnf(matrix-7218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17429), _u17430)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u17429, _u17430)) = _u17429) )).
% 29.00/29.26 cnf(matrix-7219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17431), _u17432)), _u17433)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u17432), c_List_Oupt(_u17431, _u17433)) = c_List_Oupt(_u17431, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17431), _u17432))) )).
% 29.00/29.26 cnf(matrix-7220, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u17434), c_List_Oupt(_u17435, _u17436)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17435), _u17434), _u17436)) )).
% 29.00/29.26 cnf(matrix-7221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17439), _u17441)) | ( c_List_Oupt(_u17439, _u17441) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17439), c_List_Oupt(hAPP(c_Nat_OSuc, _u17439), _u17441))) )).
% 29.00/29.26 cnf(matrix-7222, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17440), _u17442)) | ( c_List_Oupt(_u17440, _u17442) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-7223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17443), _u17444)) | ( c_List_Oupt(_u17443, _u17444) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17443), c_List_Oupt(hAPP(c_Nat_OSuc, _u17443), _u17444))) )).
% 29.00/29.26 cnf(matrix-7224, plain, ( ( c_List_Oupt(_u17447, _u17449) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17449 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17449), _u17447)) )).
% 29.00/29.26 cnf(matrix-7225, plain, ( ( c_List_Oupt(_u17448, _u17450) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17450 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-7226, plain, ( ( c_List_Oupt(_u17448, _u17450) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17450), _u17448)) )).
% 29.00/29.26 cnf(matrix-7227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17451), _u17452)) | ( c_List_Oupt(_u17451, hAPP(c_Nat_OSuc, _u17452)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17451, _u17452)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17452), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 29.00/29.26 cnf(matrix-7228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17455), _u17457)) | ( c_List_Oupt(_u17455, hAPP(c_Nat_OSuc, _u17457)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17455, _u17457)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17457), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 29.00/29.26 cnf(matrix-7229, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17456), _u17458)) | ( c_List_Oupt(_u17456, hAPP(c_Nat_OSuc, _u17458)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-7230, plain, ( ( c_List_Oupt(_u17459, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-7231, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17460), _u17461)) | ( c_List_Oupt(_u17461, _u17460) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-7232, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17462), _u17463)) | ( c_List_Oupt(_u17462, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17463), _u17464)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17462, _u17463)), c_List_Oupt(_u17463, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17463), _u17464)))) )).
% 29.00/29.26 cnf(matrix-7233, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u17465, _u17466)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17466), _u17465)) )).
% 29.00/29.26 cnf(matrix-7234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17469)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17471))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17469), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17471)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17469)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17469)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17471)))) )).
% 29.00/29.26 cnf(matrix-7235, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17470)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17472))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17470), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17472)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-7236, plain, ( ( c_List_Oupt(_u17477, _u17479) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17481), _u17483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17477), _u17479)) )).
% 29.00/29.26 cnf(matrix-7237, plain, ( ( c_List_Oupt(_u17477, _u17479) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17481), _u17483)) | ( _u17477 = _u17481) )).
% 29.00/29.26 cnf(matrix-7238, plain, ( ( c_List_Oupt(_u17477, _u17479) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17481), _u17483)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17477), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17479) = _u17483) )).
% 29.00/29.26 cnf(matrix-7239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17478), _u17480)) | ( _u17478 != _u17482) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17478), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17480) != _u17484) | ( c_List_Oupt(_u17478, _u17480) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17482), _u17484)) )).
% 29.00/29.26 cnf(matrix-7240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17485), _u17486)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u17485, _u17486)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17486), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 29.00/29.26 cnf(matrix-7241, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u17487, _u17488)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u17487), hAPP(c_Nat_OSuc, _u17488))) )).
% 29.00/29.26 cnf(matrix-7242, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u17489, _u17490) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17489, hAPP(c_Nat_OSuc, _u17490)))) )).
% 29.00/29.26 cnf(matrix-7243, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u17491) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17491))) )).
% 29.00/29.26 cnf(matrix-7244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17492), _u17493)), _u17494)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u17492, _u17494)), _u17493) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17492), _u17493)) )).
% 29.00/29.26 cnf(matrix-7245, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u17495, _u17496) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u17495), hAPP(c_Nat_OSuc, _u17496)))) )).
% 29.00/29.26 cnf(matrix-7246, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u17497, _u17498) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u17497), _u17498))) )).
% 29.00/29.26 cnf(matrix-7247, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u17499) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u17499)))) )).
% 29.00/29.26 cnf(matrix-7248, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17500), hAPP(c_List_Onth(_u17500), _u17501)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17500)), _u17501))) = _u17501) )).
% 29.00/29.26 cnf(matrix-7249, plain, ( ~class_Groups_Ocomm__monoid__add(_u17502) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17502), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17502), _u17503), c_List_Oupt(_u17504, _u17505))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u17502), _u17503), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17504, _u17505)))) )).
% 29.00/29.26 cnf(matrix-7250, plain, ( ~class_Groups_Ocomm__monoid__add(_u17506) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u17506), _u17507), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17508, _u17509))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17506), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17506), _u17507), c_List_Oupt(_u17508, _u17509)))) )).
% 29.00/29.26 cnf(matrix-7251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17510), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17511), _u17512))) | ( hAPP(hAPP(c_List_Onth(_u17513), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17513), _u17514), c_List_Oupt(_u17512, _u17511))), _u17510) = hAPP(_u17514, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17512), _u17510))) )).
% 29.00/29.26 cnf(matrix-7252, plain, ( ( _u17516 = c_List_Olist_ONil(tc_List_Olist(_u17517))) | ( c_List_Otranspose(_u17517, _u17516) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17517), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17517)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17517), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17517), tc_fun(tc_Nat_Onat, _u17517), tc_Nat_Onat), c_List_Onth(_u17517)), hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17518))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem402(_u17518, _u17517, _u17516)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516))) )).
% 29.00/29.26 cnf(matrix-7253, plain, ( ( _u17516 = c_List_Olist_ONil(tc_List_Olist(_u17517))) | ( c_List_Otranspose(_u17517, _u17516) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17517), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17517)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17517), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17517), tc_fun(tc_Nat_Onat, _u17517), tc_Nat_Onat), c_List_Onth(_u17517)), hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17518))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17517)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516), skolem402(_u17518, _u17517, _u17516))) != _u17518) )).
% 29.00/29.26 cnf(matrix-7254, plain, ( ( _u17518 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u17517, _u17516) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17517), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17517)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17517), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17517), tc_fun(tc_Nat_Onat, _u17517), tc_Nat_Onat), c_List_Onth(_u17517)), hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17518))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem402(_u17518, _u17517, _u17516)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516))) )).
% 29.00/29.26 cnf(matrix-7255, plain, ( ( _u17518 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u17517, _u17516) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17517), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17517)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17517)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17517), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17517), tc_fun(tc_Nat_Onat, _u17517), tc_Nat_Onat), c_List_Onth(_u17517)), hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17517))), _u17516)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17518))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17517)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17517)), _u17516), skolem402(_u17518, _u17517, _u17516))) != _u17518) )).
% 29.00/29.26 cnf(matrix-7256, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u17519), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17519)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17519))), c_List_Otranspose(_u17519, _u17520), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17519))), hAPP(c_List_Ofilter(tc_List_Olist(_u17519), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17519)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17519), tc_List_Olist(_u17519), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17519)))), _u17520))) )).
% 29.00/29.26 cnf(matrix-7257, plain, ( ( c_List_Ofoldr(_u17521, _u17522, _u17523, hAPP(hAPP(c_List_Oappend(_u17521), _u17524), _u17525), _u17526) = c_List_Ofoldr(_u17521, _u17522, _u17523, _u17524, c_List_Ofoldr(_u17521, _u17522, _u17523, _u17525, _u17526))) )).
% 29.00/29.26 cnf(matrix-7258, plain, ( ( c_List_Ofoldr(_u17527, _u17528, _u17529, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17530), _u17531), _u17532) = hAPP(hAPP(_u17529, _u17530), c_List_Ofoldr(_u17527, _u17528, _u17529, _u17531, _u17532))) )).
% 29.00/29.26 cnf(matrix-7259, plain, ( ( c_List_Ofoldr(_u17533, _u17534, _u17535, c_List_Olist_ONil(_u17533), _u17536) = _u17536) )).
% 29.00/29.26 cnf(matrix-7260, plain, ( ~class_Groups_Oab__semigroup__add(_u17537) | ( c_List_Ofoldr(_u17537, _u17537, c_Groups_Oplus__class_Oplus(_u17537), _u17538, _u17539) = hAPP(c_List_Ofoldl(_u17537, _u17537, c_Groups_Oplus__class_Oplus(_u17537), _u17539), _u17538)) )).
% 29.00/29.26 cnf(matrix-7261, plain, ( ( c_List_Ofoldr(_u17540, _u17541, _u17542, hAPP(hAPP(c_List_Omap(_u17543, _u17540), _u17544), _u17545), _u17546) = c_List_Ofoldr(_u17543, _u17541, hAPP(c_Fun_Ocomp(_u17540, tc_fun(_u17541, _u17541), _u17543, _u17542), _u17544), _u17545, _u17546)) )).
% 29.00/29.26 cnf(matrix-7262, plain, ( ~class_Groups_Omonoid__add(_u17547) | ( hAPP(c_List_Ofoldl(_u17547, _u17547, c_Groups_Oplus__class_Oplus(_u17547), c_Groups_Ozero__class_Ozero(_u17547)), _u17548) = c_List_Ofoldr(_u17547, _u17547, c_Groups_Oplus__class_Oplus(_u17547), _u17548, c_Groups_Ozero__class_Ozero(_u17547))) )).
% 29.00/29.26 cnf(matrix-7263, plain, ( ~class_Groups_Omonoid__add(_u17549) | ( hAPP(c_List_Ofoldl(_u17549, _u17549, c_Groups_Oplus__class_Oplus(_u17549), _u17550), _u17551) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17549), _u17550), c_List_Ofoldr(_u17549, _u17549, c_Groups_Oplus__class_Oplus(_u17549), _u17551, c_Groups_Ozero__class_Ozero(_u17549)))) )).
% 29.00/29.26 cnf(matrix-7264, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17552))), c_List_Otranspose(_u17552, _u17553)) = c_List_Ofoldr(tc_List_Olist(_u17552), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17552)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17552))), _u17553, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 29.00/29.26 cnf(matrix-7265, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17554)), _u17555))), c_List_Ofoldr(tc_List_Olist(_u17556), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17556)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17556))), _u17557, 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(_u17554)), _u17555)), c_List_Ofoldr(tc_List_Olist(_u17556), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17556)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17556), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17556)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17556)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u17556), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17556)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17556), tc_List_Olist(_u17556), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17556)))), _u17557), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 29.00/29.26 cnf(matrix-7266, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17558)), c_List_Oremdups(_u17558, c_List_Oconcat(_u17558, _u17559))) = hAPP(c_Finite__Set_Ocard(_u17558), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17558), tc_fun(_u17558, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17558)), _u17559)), c_List_Oset(_u17558)))) )).
% 29.00/29.26 cnf(matrix-7267, plain, ( ~class_Orderings_Olinorder(_u17560) | ~hBOOL(hAPP(hAPP(c_member(_u17561), _u17562), hAPP(c_List_Oset(_u17561), _u17563))) | ~c_List_Olinorder__class_Osorted(_u17560, hAPP(hAPP(c_List_Omap(_u17561, _u17560), _u17564), _u17563)) | ( hAPP(c_List_Ohd(_u17561), hAPP(c_List_Ofilter(_u17561, hAPP(hAPP(c_COMBB(_u17560, tc_HOL_Obool, _u17561), hAPP(c_fequal, hAPP(_u17564, _u17562))), _u17564)), _u17563)) != _u17562) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17561, _u17560, _u17564), _u17562), c_List_Oremove1(_u17561, _u17562, _u17563)) = _u17563) )).
% 29.00/29.26 cnf(matrix-7268, plain, ( ~class_Orderings_Olinorder(_u17565) | c_List_Olinorder__class_Osorted(_u17565, c_List_Olist_ONil(_u17565)) )).
% 29.00/29.26 cnf(matrix-7269, plain, ( hBOOL(hAPP(c_List_Odistinct(_u17566), c_List_Oremdups(_u17566, _u17567))) )).
% 29.00/29.26 cnf(matrix-7270, plain, ( ~class_Orderings_Olinorder(_u17568) | c_List_Olinorder__class_Osorted(_u17568, hAPP(hAPP(c_List_Olist_OCons(_u17568), _u17569), c_List_Olist_ONil(_u17568))) )).
% 29.00/29.26 cnf(matrix-7271, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17570)), c_List_Oremdups(_u17570, _u17571))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17570)), _u17571))) )).
% 29.00/29.26 cnf(matrix-7272, plain, ( ~class_Orderings_Olinorder(_u17572) | ( _u17573 = c_List_Olist_ONil(_u17572)) | ~c_List_Olinorder__class_Osorted(_u17572, _u17573) | c_List_Olinorder__class_Osorted(_u17572, c_List_Obutlast(_u17572, _u17573)) )).
% 29.00/29.26 cnf(matrix-7273, plain, ( ~class_Orderings_Olinorder(_u17574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17574), _u17575), _u17576)) | ~c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17576), _u17577)) | c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17576), _u17577))) )).
% 29.00/29.26 cnf(matrix-7274, plain, ( ~class_Orderings_Olinorder(_u17578) | ~c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17579), hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17578), _u17579), _u17580)) )).
% 29.00/29.26 cnf(matrix-7275, plain, ( ~class_Orderings_Olinorder(_u17578) | ~c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17579), hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581))) | c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581)) )).
% 29.00/29.26 cnf(matrix-7276, plain, ( ~class_Orderings_Olinorder(_u17578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17578), _u17579), _u17580)) | ~c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581)) | c_List_Olinorder__class_Osorted(_u17578, hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17579), hAPP(hAPP(c_List_Olist_OCons(_u17578), _u17580), _u17581))) )).
% 29.00/29.26 cnf(matrix-7277, plain, ( ( c_List_Oremdups(_u17582, c_List_Olist_ONil(_u17582)) = c_List_Olist_ONil(_u17582)) )).
% 29.00/29.26 cnf(matrix-7278, plain, ( ~class_Orderings_Olinorder(_u17583) | c_List_Olinorder__class_Osorted(_u17583, c_List_Olist_ONil(_u17583)) )).
% 29.00/29.26 cnf(matrix-7279, plain, ( ( c_List_Olist_ONil(_u17586) != c_List_Oremdups(_u17586, _u17588)) | ( _u17588 = c_List_Olist_ONil(_u17586)) )).
% 29.00/29.26 cnf(matrix-7280, plain, ( ( _u17589 != c_List_Olist_ONil(_u17587)) | ( c_List_Olist_ONil(_u17587) = c_List_Oremdups(_u17587, _u17589)) )).
% 29.00/29.26 cnf(matrix-7281, plain, ( ( c_List_Oremdups(_u17592, _u17594) != c_List_Olist_ONil(_u17592)) | ( _u17594 = c_List_Olist_ONil(_u17592)) )).
% 29.00/29.26 cnf(matrix-7282, plain, ( ( _u17595 != c_List_Olist_ONil(_u17593)) | ( c_List_Oremdups(_u17593, _u17595) = c_List_Olist_ONil(_u17593)) )).
% 29.00/29.26 cnf(matrix-7283, plain, ( ~class_Orderings_Olinorder(_u17596) | ~c_List_Olinorder__class_Osorted(_u17596, _u17597) | c_List_Olinorder__class_Osorted(_u17596, hAPP(hAPP(c_List_Odrop(_u17596), _u17598), _u17597)) )).
% 29.00/29.26 cnf(matrix-7284, plain, ( ~class_Orderings_Olinorder(_u17599) | ~c_List_Olinorder__class_Osorted(_u17599, _u17600) | c_List_Olinorder__class_Osorted(_u17599, hAPP(hAPP(c_List_Otake(_u17599), _u17601), _u17600)) )).
% 29.00/29.26 cnf(matrix-7285, plain, ( ( c_List_Oremdups(_u17604, _u17606) != _u17606) | hBOOL(hAPP(c_List_Odistinct(_u17604), _u17606)) )).
% 29.00/29.26 cnf(matrix-7286, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17605), _u17607)) | ( c_List_Oremdups(_u17605, _u17607) = _u17607) )).
% 29.00/29.26 cnf(matrix-7287, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17608), _u17609)) | ( c_List_Oremdups(_u17608, _u17609) = _u17609) )).
% 29.00/29.26 cnf(matrix-7288, plain, ( ~class_Orderings_Olinorder(_u17610) | ~c_List_Olinorder__class_Osorted(_u17610, _u17611) | ~hBOOL(hAPP(c_List_Odistinct(_u17610), _u17611)) | ~c_List_Olinorder__class_Osorted(_u17610, _u17612) | ~hBOOL(hAPP(c_List_Odistinct(_u17610), _u17612)) | ( hAPP(c_List_Oset(_u17610), _u17611) != hAPP(c_List_Oset(_u17610), _u17612)) | ( _u17611 = _u17612) )).
% 29.00/29.26 cnf(matrix-7289, plain, ( ~class_Orderings_Olinorder(_u17613) | ~c_List_Olinorder__class_Osorted(_u17613, hAPP(hAPP(c_List_Omap(_u17614, _u17613), _u17615), _u17616)) | c_List_Olinorder__class_Osorted(_u17613, hAPP(hAPP(c_List_Omap(_u17614, _u17613), _u17615), hAPP(c_List_Ofilter(_u17614, _u17617), _u17616))) )).
% 29.00/29.26 cnf(matrix-7290, plain, ( ( c_List_Oremdups(_u17618, hAPP(hAPP(c_List_Omap(_u17619, _u17618), _u17620), c_List_Oremdups(_u17619, _u17621))) = c_List_Oremdups(_u17618, hAPP(hAPP(c_List_Omap(_u17619, _u17618), _u17620), _u17621))) )).
% 29.00/29.26 cnf(matrix-7291, plain, ( ~class_Orderings_Olinorder(_u17622) | c_List_Olinorder__class_Osorted(_u17622, hAPP(hAPP(c_List_Omap(_u17623, _u17622), _u17624), hAPP(c_List_Ofilter(_u17623, hAPP(hAPP(c_COMBC(_u17623, _u17622, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u17622, tc_fun(_u17622, tc_HOL_Obool), _u17623), c_fequal), _u17624)), hAPP(_u17625, _u17626))), _u17626))) )).
% 29.00/29.26 cnf(matrix-7292, plain, ( ~class_Orderings_Olinorder(_u17627) | ~c_List_Olinorder__class_Osorted(_u17627, hAPP(hAPP(c_List_Omap(_u17628, _u17627), _u17629), _u17630)) | c_List_Olinorder__class_Osorted(_u17627, hAPP(hAPP(c_List_Omap(_u17628, _u17627), _u17629), c_List_Oremove1(_u17628, _u17631, _u17630))) )).
% 29.00/29.26 cnf(matrix-7293, plain, ( ~class_Orderings_Olinorder(_u17632) | ~c_List_Olinorder__class_Osorted(_u17632, hAPP(hAPP(c_List_Omap(_u17633, _u17632), _u17634), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17633, _u17632, _u17634), _u17635), _u17636))) | c_List_Olinorder__class_Osorted(_u17632, hAPP(hAPP(c_List_Omap(_u17633, _u17632), _u17634), _u17636)) )).
% 29.00/29.26 cnf(matrix-7294, plain, ( ~class_Orderings_Olinorder(_u17632) | ~c_List_Olinorder__class_Osorted(_u17632, hAPP(hAPP(c_List_Omap(_u17633, _u17632), _u17634), _u17636)) | c_List_Olinorder__class_Osorted(_u17632, hAPP(hAPP(c_List_Omap(_u17633, _u17632), _u17634), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17633, _u17632, _u17634), _u17635), _u17636))) )).
% 29.00/29.26 cnf(matrix-7295, plain, ( ~class_Orderings_Olinorder(_u17637) | ~c_List_Olinorder__class_Osorted(_u17637, hAPP(hAPP(c_List_Omap(_u17638, _u17637), _u17639), _u17640)) | c_List_Olinorder__class_Osorted(_u17637, hAPP(hAPP(c_List_Omap(_u17638, _u17637), _u17639), c_List_Olinorder__class_Oinsort__insert__key(_u17638, _u17637, _u17639, _u17641, _u17640))) )).
% 29.00/29.26 cnf(matrix-7296, plain, ( ~class_Orderings_Olinorder(_u17642) | c_List_Olinorder__class_Osorted(_u17642, hAPP(c_List_Ofilter(_u17642, hAPP(hAPP(c_COMBC(_u17642, _u17642, tc_HOL_Obool), c_fequal), hAPP(_u17643, _u17644))), _u17644)) )).
% 29.00/29.26 cnf(matrix-7297, plain, ( ( c_List_Oremdups(_u17645, hAPP(c_List_Ofilter(_u17645, _u17646), _u17647)) = hAPP(c_List_Ofilter(_u17645, _u17646), c_List_Oremdups(_u17645, _u17647))) )).
% 29.00/29.26 cnf(matrix-7298, plain, ( ( hAPP(c_List_Oset(_u17648), c_List_Oremdups(_u17648, _u17649)) = hAPP(c_List_Oset(_u17648), _u17649)) )).
% 29.00/29.26 cnf(matrix-7299, plain, ( ( c_List_Oinsert(_u17650, _u17651, c_List_Oremdups(_u17650, _u17652)) = c_List_Oremdups(_u17650, c_List_Oinsert(_u17650, _u17651, _u17652))) )).
% 29.00/29.26 cnf(matrix-7300, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17655)), c_List_Oremdups(_u17655, _u17657)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17655)), _u17657)) | ( c_List_Oremdups(_u17655, _u17657) = _u17657) )).
% 29.00/29.26 cnf(matrix-7301, plain, ( ( c_List_Oremdups(_u17656, _u17658) != _u17658) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17656)), c_List_Oremdups(_u17656, _u17658)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17656)), _u17658)) )).
% 29.00/29.26 cnf(matrix-7302, plain, ( ~class_Orderings_Olinorder(_u17659) | ~c_List_Olinorder__class_Osorted(_u17659, _u17660) | c_List_Olinorder__class_Osorted(_u17659, c_List_Olinorder__class_Oinsort__insert__key(_u17659, _u17659, c_COMBI(_u17659), _u17661, _u17660)) )).
% 29.00/29.26 cnf(matrix-7303, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u17662, _u17663)) )).
% 29.00/29.26 cnf(matrix-7304, plain, ( ~class_Orderings_Olinorder(_u17664) | ~c_List_Olinorder__class_Osorted(_u17664, _u17665) | c_List_Olinorder__class_Osorted(_u17664, hAPP(c_List_Otl(_u17664), _u17665)) )).
% 29.00/29.26 cnf(matrix-7305, plain, ( ( c_List_Oremdups(_u17666, c_List_Oremdups(_u17666, _u17667)) = c_List_Oremdups(_u17666, _u17667)) )).
% 29.00/29.26 cnf(matrix-7306, plain, ( ~class_Orderings_Olinorder(_u17668) | ~c_List_Olinorder__class_Osorted(_u17668, _u17669) | c_List_Olinorder__class_Osorted(_u17668, c_List_Oremdups(_u17668, _u17669)) )).
% 29.00/29.26 cnf(matrix-7307, plain, ( ~class_Orderings_Olinorder(_u17670) | ~c_List_Olinorder__class_Osorted(_u17670, _u17671) | c_List_Olinorder__class_Osorted(_u17670, c_List_Oremove1(_u17670, _u17672, _u17671)) )).
% 29.00/29.26 cnf(matrix-7308, plain, ( ~class_Orderings_Olinorder(_u17673) | ~c_List_Olinorder__class_Osorted(_u17673, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17673, _u17673, c_COMBI(_u17673)), _u17674), _u17675)) | c_List_Olinorder__class_Osorted(_u17673, _u17675) )).
% 29.00/29.26 cnf(matrix-7309, plain, ( ~class_Orderings_Olinorder(_u17673) | ~c_List_Olinorder__class_Osorted(_u17673, _u17675) | c_List_Olinorder__class_Osorted(_u17673, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17673, _u17673, c_COMBI(_u17673)), _u17674), _u17675)) )).
% 29.00/29.26 cnf(matrix-7310, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u17676, _u17677)) )).
% 29.00/29.26 cnf(matrix-7311, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17678), _u17679)) | ( c_List_Oremove1(_u17678, _u17680, c_List_Oremdups(_u17678, _u17679)) = c_List_Oremdups(_u17678, c_List_Oremove1(_u17678, _u17680, _u17679))) )).
% 29.00/29.26 cnf(matrix-7312, plain, ( ~class_Orderings_Olinorder(_u17683) | ~c_List_Olinorder__class_Osorted(_u17683, hAPP(hAPP(c_List_Olist_OCons(_u17683), _u17684), _u17685)) | c_List_Olinorder__class_Osorted(_u17683, _u17685) )).
% 29.00/29.26 cnf(matrix-7313, plain, ( ~class_Orderings_Olinorder(_u17683) | ~c_List_Olinorder__class_Osorted(_u17683, hAPP(hAPP(c_List_Olist_OCons(_u17683), _u17684), _u17685)) | ~hBOOL(hAPP(hAPP(c_member(_u17683), _u17681), hAPP(c_List_Oset(_u17683), _u17685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17683), _u17684), _u17681)) )).
% 29.00/29.26 cnf(matrix-7314, plain, ( ~class_Orderings_Olinorder(_u17683) | c_List_Olinorder__class_Osorted(_u17683, hAPP(hAPP(c_List_Olist_OCons(_u17683), _u17684), _u17685)) | ~c_List_Olinorder__class_Osorted(_u17683, _u17685) | hBOOL(hAPP(hAPP(c_member(_u17683), skolem403(_u17685, _u17684, _u17683)), hAPP(c_List_Oset(_u17683), _u17685))) )).
% 29.00/29.26 cnf(matrix-7315, plain, ( ~class_Orderings_Olinorder(_u17683) | c_List_Olinorder__class_Osorted(_u17683, hAPP(hAPP(c_List_Olist_OCons(_u17683), _u17684), _u17685)) | ~c_List_Olinorder__class_Osorted(_u17683, _u17685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17683), _u17684), skolem403(_u17685, _u17684, _u17683))) )).
% 29.00/29.26 cnf(matrix-7316, plain, ( ~class_Orderings_Olinorder(_u17690) | ~c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | c_List_Olinorder__class_Osorted(_u17690, _u17691) )).
% 29.00/29.26 cnf(matrix-7317, plain, ( ~class_Orderings_Olinorder(_u17690) | ~c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | c_List_Olinorder__class_Osorted(_u17690, _u17692) )).
% 29.00/29.26 cnf(matrix-7318, plain, ( ~class_Orderings_Olinorder(_u17690) | ~c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | ~hBOOL(hAPP(hAPP(c_member(_u17690), _u17687), hAPP(c_List_Oset(_u17690), _u17691))) | ~hBOOL(hAPP(hAPP(c_member(_u17690), _u17686), hAPP(c_List_Oset(_u17690), _u17692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17690), _u17687), _u17686)) )).
% 29.00/29.26 cnf(matrix-7319, plain, ( ~class_Orderings_Olinorder(_u17690) | c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | ~c_List_Olinorder__class_Osorted(_u17690, _u17691) | ~c_List_Olinorder__class_Osorted(_u17690, _u17692) | hBOOL(hAPP(hAPP(c_member(_u17690), skolem404(_u17692, _u17691, _u17690)), hAPP(c_List_Oset(_u17690), _u17691))) )).
% 29.00/29.26 cnf(matrix-7320, plain, ( ~class_Orderings_Olinorder(_u17690) | c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | ~c_List_Olinorder__class_Osorted(_u17690, _u17691) | ~c_List_Olinorder__class_Osorted(_u17690, _u17692) | hBOOL(hAPP(hAPP(c_member(_u17690), skolem405(_u17692, _u17691, _u17690)), hAPP(c_List_Oset(_u17690), _u17692))) )).
% 29.00/29.26 cnf(matrix-7321, plain, ( ~class_Orderings_Olinorder(_u17690) | c_List_Olinorder__class_Osorted(_u17690, hAPP(hAPP(c_List_Oappend(_u17690), _u17691), _u17692)) | ~c_List_Olinorder__class_Osorted(_u17690, _u17691) | ~c_List_Olinorder__class_Osorted(_u17690, _u17692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17690), skolem404(_u17692, _u17691, _u17690)), skolem405(_u17692, _u17691, _u17690))) )).
% 29.00/29.26 cnf(matrix-7322, plain, ( ~class_Orderings_Olinorder(_u17693) | ~c_List_Olinorder__class_Osorted(_u17693, hAPP(hAPP(c_List_Omap(_u17694, _u17693), _u17695), _u17696)) | ~hBOOL(hAPP(_u17697, _u17698)) | ( hAPP(c_List_Ofilter(_u17694, _u17697), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17694, _u17693, _u17695), _u17698), _u17696)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17694, _u17693, _u17695), _u17698), hAPP(c_List_Ofilter(_u17694, _u17697), _u17696))) )).
% 29.00/29.26 cnf(matrix-7323, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17702), _u17704), hAPP(c_List_Oset(_u17702), _u17706))) | ( c_List_Oremdups(_u17702, hAPP(hAPP(c_List_Olist_OCons(_u17702), _u17704), _u17706)) = c_List_Oremdups(_u17702, _u17706)) )).
% 29.00/29.26 cnf(matrix-7324, plain, ( hBOOL(hAPP(hAPP(c_member(_u17703), _u17705), hAPP(c_List_Oset(_u17703), _u17707))) | ( c_List_Oremdups(_u17703, hAPP(hAPP(c_List_Olist_OCons(_u17703), _u17705), _u17707)) = hAPP(hAPP(c_List_Olist_OCons(_u17703), _u17705), c_List_Oremdups(_u17703, _u17707))) )).
% 29.00/29.26 cnf(matrix-7325, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17708)), c_List_Oremdups(_u17708, _u17709)) = hAPP(c_Finite__Set_Ocard(_u17708), hAPP(c_List_Oset(_u17708), _u17709))) )).
% 29.00/29.26 cnf(matrix-7326, plain, ( ~class_Orderings_Olinorder(_u17712) | ~c_List_Olinorder__class_Osorted(_u17712, hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17713), _u17714)) | ~hBOOL(hAPP(hAPP(c_member(_u17712), _u17710), hAPP(c_List_Oset(_u17712), _u17714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17712), _u17713), _u17710)) )).
% 29.00/29.26 cnf(matrix-7327, plain, ( ~class_Orderings_Olinorder(_u17712) | ~c_List_Olinorder__class_Osorted(_u17712, hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17713), _u17714)) | c_List_Olinorder__class_Osorted(_u17712, _u17714) )).
% 29.00/29.26 cnf(matrix-7328, plain, ( ~class_Orderings_Olinorder(_u17712) | c_List_Olinorder__class_Osorted(_u17712, hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17713), _u17714)) | ~c_List_Olinorder__class_Osorted(_u17712, _u17714) | hBOOL(hAPP(hAPP(c_member(_u17712), skolem406(_u17714, _u17713, _u17712)), hAPP(c_List_Oset(_u17712), _u17714))) )).
% 29.00/29.26 cnf(matrix-7329, plain, ( ~class_Orderings_Olinorder(_u17712) | c_List_Olinorder__class_Osorted(_u17712, hAPP(hAPP(c_List_Olist_OCons(_u17712), _u17713), _u17714)) | ~c_List_Olinorder__class_Osorted(_u17712, _u17714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17712), _u17713), skolem406(_u17714, _u17713, _u17712))) )).
% 29.00/29.26 cnf(matrix-7330, plain, ( ~class_Orderings_Olinorder(_u17715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17715), _u17716)) | ( hAPP(c_List_Oset(_u17715), c_List_Olinorder__class_Osorted__list__of__set(_u17715, _u17716)) = _u17716) )).
% 29.00/29.26 cnf(matrix-7331, plain, ( ~class_Orderings_Olinorder(_u17715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17715), _u17716)) | c_List_Olinorder__class_Osorted(_u17715, c_List_Olinorder__class_Osorted__list__of__set(_u17715, _u17716)) )).
% 29.00/29.26 cnf(matrix-7332, plain, ( ~class_Orderings_Olinorder(_u17715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17715), _u17716)) | hBOOL(hAPP(c_List_Odistinct(_u17715), c_List_Olinorder__class_Osorted__list__of__set(_u17715, _u17716))) )).
% 29.00/29.26 cnf(matrix-7333, plain, ( ~class_Orderings_Olinorder(_u17717) | ~hBOOL(hAPP(hAPP(c_member(_u17717), _u17718), hAPP(c_List_Oset(_u17717), _u17719))) | ~c_List_Olinorder__class_Osorted(_u17717, _u17719) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17717, _u17717, c_COMBI(_u17717)), _u17718), c_List_Oremove1(_u17717, _u17718, _u17719)) = _u17719) )).
% 29.00/29.26 cnf(matrix-7334, plain, ( ~class_Orderings_Olinorder(_u17724) | ~c_List_Olinorder__class_Osorted(_u17724, _u17725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17721), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17724)), _u17725))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17720), _u17721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17724), hAPP(hAPP(c_List_Onth(_u17724), _u17725), _u17720)), hAPP(hAPP(c_List_Onth(_u17724), _u17725), _u17721))) )).
% 29.00/29.26 cnf(matrix-7335, plain, ( ~class_Orderings_Olinorder(_u17724) | c_List_Olinorder__class_Osorted(_u17724, _u17725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem407(_u17725, _u17724)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17724)), _u17725))) )).
% 29.00/29.26 cnf(matrix-7336, plain, ( ~class_Orderings_Olinorder(_u17724) | c_List_Olinorder__class_Osorted(_u17724, _u17725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem408(_u17725, _u17724)), skolem407(_u17725, _u17724))) )).
% 29.00/29.26 cnf(matrix-7337, plain, ( ~class_Orderings_Olinorder(_u17724) | c_List_Olinorder__class_Osorted(_u17724, _u17725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17724), hAPP(hAPP(c_List_Onth(_u17724), _u17725), skolem408(_u17725, _u17724))), hAPP(hAPP(c_List_Onth(_u17724), _u17725), skolem407(_u17725, _u17724)))) )).
% 29.00/29.26 cnf(matrix-7338, plain, ( ~class_Orderings_Olinorder(_u17726) | ~c_List_Olinorder__class_Osorted(_u17726, _u17727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17728), _u17729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17729), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17726)), _u17727))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17726), hAPP(hAPP(c_List_Onth(_u17726), _u17727), _u17728)), hAPP(hAPP(c_List_Onth(_u17726), _u17727), _u17729))) )).
% 29.00/29.26 cnf(matrix-7339, plain, ( ~class_Orderings_Olinorder(_u17730) | ~c_Fun_Oinj__on(_u17731, _u17730, _u17732, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17731, tc_HOL_Obool)), hAPP(c_List_Oset(_u17731), _u17733)), hAPP(c_List_Oset(_u17731), _u17734))) | ~c_List_Olinorder__class_Osorted(_u17730, hAPP(hAPP(c_List_Omap(_u17731, _u17730), _u17732), _u17733)) | ~hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(hAPP(c_List_Omap(_u17731, _u17730), _u17732), _u17733))) | ~c_List_Olinorder__class_Osorted(_u17730, hAPP(hAPP(c_List_Omap(_u17731, _u17730), _u17732), _u17734)) | ~hBOOL(hAPP(c_List_Odistinct(_u17730), hAPP(hAPP(c_List_Omap(_u17731, _u17730), _u17732), _u17734))) | ( hAPP(c_List_Oset(_u17731), _u17733) != hAPP(c_List_Oset(_u17731), _u17734)) | ( _u17733 = _u17734) )).
% 29.00/29.26 cnf(matrix-7340, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17735), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17735))), _u17736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17737), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17735))), _u17736))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17735), _u17735), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17735), tc_Nat_Onat, _u17735), c_List_Onth(_u17735)), _u17737)), hAPP(c_List_Ofilter(tc_List_Olist(_u17735), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17735)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17737)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17735)))), c_List_Otranspose(_u17735, _u17736))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17735)), _u17736), _u17737)) )).
% 29.00/29.26 cnf(matrix-7341, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17738), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17738))), _u17739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17738))), c_List_Otranspose(_u17738, _u17739)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17741), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17738))), hAPP(c_List_Ofilter(tc_List_Olist(_u17738), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17738)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17740)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)))), _u17739)))) | ( hAPP(hAPP(c_List_Onth(_u17738), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17738)), c_List_Otranspose(_u17738, _u17739)), _u17740)), _u17741) = hAPP(hAPP(c_List_Onth(_u17738), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17738)), _u17739), _u17741)), _u17740)) )).
% 29.00/29.26 cnf(matrix-7342, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u17742), tc_List_Olist(_u17742), c_List_Orev(_u17742), _u17743) )).
% 29.00/29.26 cnf(matrix-7343, plain, ( ~c_List_Olist__all2(_u17749, _u17751, _u17753, hAPP(c_List_Orev(_u17749), _u17755), _u17757) | c_List_Olist__all2(_u17749, _u17751, _u17753, _u17755, hAPP(c_List_Orev(_u17751), _u17757)) )).
% 29.00/29.26 cnf(matrix-7344, plain, ( ~c_List_Olist__all2(_u17750, _u17752, _u17754, _u17756, hAPP(c_List_Orev(_u17752), _u17758)) | c_List_Olist__all2(_u17750, _u17752, _u17754, hAPP(c_List_Orev(_u17750), _u17756), _u17758) )).
% 29.00/29.26 cnf(matrix-7345, plain, ( ~c_List_Olist__all2(_u17764, _u17766, _u17768, hAPP(c_List_Orev(_u17764), _u17770), hAPP(c_List_Orev(_u17766), _u17772)) | c_List_Olist__all2(_u17764, _u17766, _u17768, _u17770, _u17772) )).
% 29.00/29.26 cnf(matrix-7346, plain, ( ~c_List_Olist__all2(_u17765, _u17767, _u17769, _u17771, _u17773) | c_List_Olist__all2(_u17765, _u17767, _u17769, hAPP(c_List_Orev(_u17765), _u17771), hAPP(c_List_Orev(_u17767), _u17773)) )).
% 29.00/29.26 cnf(matrix-7347, plain, ( ~class_Groups_Ocomm__monoid__add(_u17774) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17774), hAPP(c_List_Orev(_u17774), _u17775)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17774), _u17775)) )).
% 29.00/29.26 cnf(matrix-7348, plain, ( ( _u17781 = _u17783) | ( hAPP(c_List_Orev(_u17779), _u17781) != hAPP(c_List_Orev(_u17779), _u17783)) )).
% 29.00/29.26 cnf(matrix-7349, plain, ( ( _u17782 != _u17784) | ( hAPP(c_List_Orev(_u17780), _u17782) = hAPP(c_List_Orev(_u17780), _u17784)) )).
% 29.00/29.26 cnf(matrix-7350, plain, ( ( hAPP(c_List_Orev(_u17788), _u17790) != _u17792) | ( _u17790 = hAPP(c_List_Orev(_u17788), _u17792)) )).
% 29.00/29.26 cnf(matrix-7351, plain, ( ( _u17791 != hAPP(c_List_Orev(_u17789), _u17793)) | ( hAPP(c_List_Orev(_u17789), _u17791) = _u17793) )).
% 29.00/29.26 cnf(matrix-7352, plain, ( ( hAPP(c_List_Orev(_u17794), hAPP(c_List_Orev(_u17794), _u17795)) = _u17795) )).
% 29.00/29.26 cnf(matrix-7353, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17796)), hAPP(c_List_Orev(_u17796), _u17797)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17796)), _u17797)) )).
% 29.00/29.26 cnf(matrix-7354, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17798)), _u17799) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17800)), _u17801)) | ( hAPP(hAPP(c_List_Ozip(_u17798, _u17800), hAPP(c_List_Orev(_u17798), _u17799)), hAPP(c_List_Orev(_u17800), _u17801)) = hAPP(c_List_Orev(tc_prod(_u17798, _u17800)), hAPP(hAPP(c_List_Ozip(_u17798, _u17800), _u17799), _u17801))) )).
% 29.00/29.26 cnf(matrix-7355, plain, ( ( hAPP(c_List_Oset(_u17802), hAPP(c_List_Orev(_u17802), _u17803)) = hAPP(c_List_Oset(_u17802), _u17803)) )).
% 29.00/29.26 cnf(matrix-7356, plain, ( ( hAPP(c_List_Orev(_u17804), hAPP(c_List_Ofilter(_u17804, _u17805), _u17806)) = hAPP(c_List_Ofilter(_u17804, _u17805), hAPP(c_List_Orev(_u17804), _u17806))) )).
% 29.00/29.26 cnf(matrix-7357, plain, ( ( hAPP(c_List_Orev(_u17807), c_List_Oconcat(_u17807, _u17808)) = c_List_Oconcat(_u17807, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17807), tc_List_Olist(_u17807)), c_List_Orev(_u17807)), hAPP(c_List_Orev(tc_List_Olist(_u17807)), _u17808)))) )).
% 29.00/29.26 cnf(matrix-7358, plain, ( ( hAPP(c_List_Orev(_u17809), hAPP(hAPP(c_List_Omap(_u17810, _u17809), _u17811), _u17812)) = hAPP(hAPP(c_List_Omap(_u17810, _u17809), _u17811), hAPP(c_List_Orev(_u17810), _u17812))) )).
% 29.00/29.26 cnf(matrix-7359, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17815), hAPP(c_List_Orev(_u17815), _u17817))) | hBOOL(hAPP(c_List_Odistinct(_u17815), _u17817)) )).
% 29.00/29.26 cnf(matrix-7360, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17816), _u17818)) | hBOOL(hAPP(c_List_Odistinct(_u17816), hAPP(c_List_Orev(_u17816), _u17818))) )).
% 29.00/29.26 cnf(matrix-7361, plain, ( ( hAPP(c_List_Orev(_u17821), _u17823) != c_List_Olist_ONil(_u17821)) | ( _u17823 = c_List_Olist_ONil(_u17821)) )).
% 29.00/29.26 cnf(matrix-7362, plain, ( ( _u17824 != c_List_Olist_ONil(_u17822)) | ( hAPP(c_List_Orev(_u17822), _u17824) = c_List_Olist_ONil(_u17822)) )).
% 29.00/29.26 cnf(matrix-7363, plain, ( ( c_List_Olist_ONil(_u17827) != hAPP(c_List_Orev(_u17827), _u17829)) | ( _u17829 = c_List_Olist_ONil(_u17827)) )).
% 29.00/29.26 cnf(matrix-7364, plain, ( ( _u17830 != c_List_Olist_ONil(_u17828)) | ( c_List_Olist_ONil(_u17828) = hAPP(c_List_Orev(_u17828), _u17830)) )).
% 29.00/29.26 cnf(matrix-7365, plain, ( ( hAPP(c_List_Orev(_u17831), c_List_Olist_ONil(_u17831)) = c_List_Olist_ONil(_u17831)) )).
% 29.00/29.26 cnf(matrix-7366, plain, ( ( hAPP(c_List_Orev(_u17835), _u17837) != hAPP(hAPP(c_List_Olist_OCons(_u17835), _u17839), c_List_Olist_ONil(_u17835))) | ( _u17837 = hAPP(hAPP(c_List_Olist_OCons(_u17835), _u17839), c_List_Olist_ONil(_u17835))) )).
% 29.00/29.26 cnf(matrix-7367, plain, ( ( _u17838 != hAPP(hAPP(c_List_Olist_OCons(_u17836), _u17840), c_List_Olist_ONil(_u17836))) | ( hAPP(c_List_Orev(_u17836), _u17838) = hAPP(hAPP(c_List_Olist_OCons(_u17836), _u17840), c_List_Olist_ONil(_u17836))) )).
% 29.00/29.26 cnf(matrix-7368, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17844), _u17846), c_List_Olist_ONil(_u17844)) != hAPP(c_List_Orev(_u17844), _u17848)) | ( _u17848 = hAPP(hAPP(c_List_Olist_OCons(_u17844), _u17846), c_List_Olist_ONil(_u17844))) )).
% 29.00/29.26 cnf(matrix-7369, plain, ( ( _u17849 != hAPP(hAPP(c_List_Olist_OCons(_u17845), _u17847), c_List_Olist_ONil(_u17845))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17845), _u17847), c_List_Olist_ONil(_u17845)) = hAPP(c_List_Orev(_u17845), _u17849)) )).
% 29.00/29.26 cnf(matrix-7370, plain, ( ( hAPP(c_List_Orev(_u17850), hAPP(hAPP(c_List_Oappend(_u17850), _u17851), _u17852)) = hAPP(hAPP(c_List_Oappend(_u17850), hAPP(c_List_Orev(_u17850), _u17852)), hAPP(c_List_Orev(_u17850), _u17851))) )).
% 29.00/29.26 cnf(matrix-7371, plain, ( ( c_List_Ofoldr(_u17853, _u17854, _u17855, _u17856, _u17857) = hAPP(c_List_Ofoldl(_u17854, _u17853, hAPP(c_COMBC(_u17853, _u17854, _u17854), _u17855), _u17857), hAPP(c_List_Orev(_u17853), _u17856))) )).
% 29.00/29.26 cnf(matrix-7372, plain, ( ( hAPP(c_List_Ofoldl(_u17858, _u17859, _u17860, _u17861), _u17862) = c_List_Ofoldr(_u17859, _u17858, hAPP(c_COMBC(_u17858, _u17859, _u17858), _u17860), hAPP(c_List_Orev(_u17859), _u17862), _u17861)) )).
% 29.00/29.26 cnf(matrix-7373, plain, ( ( hAPP(c_List_Orev(_u17867), _u17869) != hAPP(hAPP(c_List_Olist_OCons(_u17867), _u17871), _u17873)) | ( _u17869 = hAPP(hAPP(c_List_Oappend(_u17867), hAPP(c_List_Orev(_u17867), _u17873)), hAPP(hAPP(c_List_Olist_OCons(_u17867), _u17871), c_List_Olist_ONil(_u17867)))) )).
% 29.00/29.26 cnf(matrix-7374, plain, ( ( _u17870 != hAPP(hAPP(c_List_Oappend(_u17868), hAPP(c_List_Orev(_u17868), _u17874)), hAPP(hAPP(c_List_Olist_OCons(_u17868), _u17872), c_List_Olist_ONil(_u17868)))) | ( hAPP(c_List_Orev(_u17868), _u17870) = hAPP(hAPP(c_List_Olist_OCons(_u17868), _u17872), _u17874)) )).
% 29.00/29.26 cnf(matrix-7375, plain, ( ( hAPP(c_List_Orev(_u17875), hAPP(hAPP(c_List_Olist_OCons(_u17875), _u17876), _u17877)) = hAPP(hAPP(c_List_Oappend(_u17875), hAPP(c_List_Orev(_u17875), _u17877)), hAPP(hAPP(c_List_Olist_OCons(_u17875), _u17876), c_List_Olist_ONil(_u17875)))) )).
% 29.00/29.26 cnf(matrix-7376, plain, ( ( _u17878 = c_List_Olist_ONil(_u17879)) | ( c_List_Olast(_u17879, hAPP(c_List_Orev(_u17879), _u17878)) = hAPP(c_List_Ohd(_u17879), _u17878)) )).
% 29.00/29.26 cnf(matrix-7377, plain, ( ( _u17880 = c_List_Olist_ONil(_u17881)) | ( hAPP(c_List_Ohd(_u17881), hAPP(c_List_Orev(_u17881), _u17880)) = c_List_Olast(_u17881, _u17880)) )).
% 29.00/29.26 cnf(matrix-7378, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17882), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17882))), c_List_Otranspose(_u17882, _u17883)))) )).
% 29.00/29.26 cnf(matrix-7379, plain, ( ( hAPP(c_List_Orev(_u17884), _u17885) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17884), _u17884, hAPP(c_COMBC(_u17884, tc_List_Olist(_u17884), tc_List_Olist(_u17884)), c_List_Olist_OCons(_u17884)), c_List_Olist_ONil(_u17884)), _u17885)) )).
% 29.00/29.26 cnf(matrix-7380, plain, ( ( hAPP(c_List_Orev(_u17886), hAPP(hAPP(c_List_Otake(_u17886), _u17887), _u17888)) = hAPP(hAPP(c_List_Odrop(_u17886), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17886)), _u17888)), _u17887)), hAPP(c_List_Orev(_u17886), _u17888))) )).
% 29.00/29.26 cnf(matrix-7381, plain, ( ( hAPP(c_List_Orev(_u17889), hAPP(hAPP(c_List_Odrop(_u17889), _u17890), _u17891)) = hAPP(hAPP(c_List_Otake(_u17889), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17889)), _u17891)), _u17890)), hAPP(c_List_Orev(_u17889), _u17891))) )).
% 29.00/29.26 cnf(matrix-7382, plain, ( ( hAPP(c_List_Orotate(_u17892, _u17893), hAPP(c_List_Orev(_u17892), _u17894)) = hAPP(c_List_Orev(_u17892), hAPP(c_List_Orotate(_u17892, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17892)), _u17894)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17893, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17892)), _u17894)))), _u17894))) )).
% 29.00/29.26 cnf(matrix-7383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17895), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17896)), _u17897))) | ( hAPP(hAPP(c_List_Onth(_u17896), hAPP(c_List_Orev(_u17896), _u17897)), _u17895) = hAPP(hAPP(c_List_Onth(_u17896), _u17897), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17896)), _u17897)), hAPP(c_Nat_OSuc, _u17895)))) )).
% 29.00/29.26 cnf(matrix-7384, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17898), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17899)), _u17900))) | ( hAPP(c_List_Orev(_u17899), hAPP(hAPP(c_List_Olist__update(_u17899, _u17900), _u17898), _u17901)) = hAPP(hAPP(c_List_Olist__update(_u17899, hAPP(c_List_Orev(_u17899), _u17900)), 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(_u17899)), _u17900)), _u17898)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17901)) )).
% 29.00/29.26 cnf(matrix-7385, plain, ( ~class_Orderings_Olinorder(_u17902) | ~c_List_Olinorder__class_Osorted(_u17902, hAPP(c_List_Orev(_u17902), _u17903)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17904), _u17905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17905), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17902)), _u17903))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17902), hAPP(hAPP(c_List_Onth(_u17902), _u17903), _u17905)), hAPP(hAPP(c_List_Onth(_u17902), _u17903), _u17904))) )).
% 29.00/29.26 cnf(matrix-7386, plain, ( ~class_Orderings_Olinorder(_u17906) | ~c_List_Olinorder__class_Osorted(_u17906, hAPP(c_List_Orev(_u17906), _u17907)) | ( _u17907 != c_List_Olist_ONil(_u17906)) | ( c_List_Ofoldr(_u17906, _u17906, c_Orderings_Oord__class_Omax(_u17906), _u17907, _u17908) = _u17908) )).
% 29.00/29.26 cnf(matrix-7387, plain, ( ~class_Orderings_Olinorder(_u17906) | ~c_List_Olinorder__class_Osorted(_u17906, hAPP(c_List_Orev(_u17906), _u17907)) | ( _u17907 = c_List_Olist_ONil(_u17906)) | ( c_List_Ofoldr(_u17906, _u17906, c_Orderings_Oord__class_Omax(_u17906), _u17907, _u17908) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17906), hAPP(hAPP(c_List_Onth(_u17906), _u17907), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u17908)) )).
% 29.00/29.26 cnf(matrix-7388, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17909), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17909))), _u17910))) | ( _u17910 != c_List_Olist_ONil(tc_List_Olist(_u17909))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17909))), c_List_Otranspose(_u17909, _u17910)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-7389, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17909), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17909))), _u17910))) | ( _u17910 = c_List_Olist_ONil(tc_List_Olist(_u17909))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17909))), c_List_Otranspose(_u17909, _u17910)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17909)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17909)), _u17910), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.26 cnf(matrix-7390, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17911), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17911))), _u17912))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17913), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17911))), _u17912))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17911))), hAPP(c_List_Ofilter(tc_List_Olist(_u17911), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17911)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17913)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17911)))), c_List_Otranspose(_u17911, _u17912))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17911)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17911)), _u17912), _u17913))) )).
% 29.00/29.26 cnf(matrix-7391, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17914), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17914))), _u17915))) | ( c_List_Otranspose(_u17914, c_List_Otranspose(_u17914, _u17915)) = c_List_OtakeWhile(tc_List_Olist(_u17914), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17914)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17914), tc_List_Olist(_u17914), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17914))), _u17915)) )).
% 29.00/29.26 cnf(matrix-7392, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 29.00/29.26 cnf(matrix-7393, plain, ( ~class_Orderings_Olinorder(_u17916) | ~c_List_Olinorder__class_Osorted(_u17916, _u17917) | c_List_Olinorder__class_Osorted(_u17916, c_List_OtakeWhile(_u17916, _u17918, _u17917)) )).
% 29.00/29.26 cnf(matrix-7394, plain, ( ( c_List_OtakeWhile(_u17919, _u17920, hAPP(hAPP(c_List_Omap(_u17921, _u17919), _u17922), _u17923)) = hAPP(hAPP(c_List_Omap(_u17921, _u17919), _u17922), c_List_OtakeWhile(_u17921, hAPP(c_Fun_Ocomp(_u17919, tc_HOL_Obool, _u17921, _u17920), _u17922), _u17923))) )).
% 29.00/29.26 cnf(matrix-7395, plain, ( ~hBOOL(hAPP(_u17928, _u17930)) | ( c_List_OtakeWhile(_u17932, _u17928, hAPP(hAPP(c_List_Olist_OCons(_u17932), _u17930), _u17934)) = hAPP(hAPP(c_List_Olist_OCons(_u17932), _u17930), c_List_OtakeWhile(_u17932, _u17928, _u17934))) )).
% 29.00/29.26 cnf(matrix-7396, plain, ( hBOOL(hAPP(_u17929, _u17931)) | ( c_List_OtakeWhile(_u17933, _u17929, hAPP(hAPP(c_List_Olist_OCons(_u17933), _u17931), _u17935)) = c_List_Olist_ONil(_u17933)) )).
% 29.00/29.26 cnf(matrix-7397, plain, ( hBOOL(hAPP(_u17936, _u17937)) | ( c_List_OtakeWhile(_u17938, _u17936, hAPP(hAPP(c_List_Oappend(_u17938), _u17939), hAPP(hAPP(c_List_Olist_OCons(_u17938), _u17937), _u17940))) = c_List_OtakeWhile(_u17938, _u17936, _u17939)) )).
% 29.00/29.26 cnf(matrix-7398, plain, ( ( c_List_OtakeWhile(_u17941, _u17942, c_List_Olist_ONil(_u17941)) = c_List_Olist_ONil(_u17941)) )).
% 29.00/29.26 cnf(matrix-7399, plain, ( ( c_List_OtakeWhile(_u17943, _u17944, _u17945) = hAPP(hAPP(c_List_Otake(_u17943), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17943)), c_List_OtakeWhile(_u17943, _u17944, _u17945))), _u17945)) )).
% 29.00/29.26 cnf(matrix-7400, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17946), _u17947)) | hBOOL(hAPP(c_List_Odistinct(_u17946), c_List_OtakeWhile(_u17946, _u17948, _u17947))) )).
% 29.00/29.26 cnf(matrix-7401, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17949), _u17950), hAPP(c_List_Oset(_u17949), c_List_OtakeWhile(_u17949, _u17951, _u17952)))) | hBOOL(hAPP(hAPP(c_member(_u17949), _u17950), hAPP(c_List_Oset(_u17949), _u17952))) )).
% 29.00/29.26 cnf(matrix-7402, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17949), _u17950), hAPP(c_List_Oset(_u17949), c_List_OtakeWhile(_u17949, _u17951, _u17952)))) | hBOOL(hAPP(_u17951, _u17950)) )).
% 29.00/29.26 cnf(matrix-7403, plain, ( ( c_List_OtakeWhile(_u17958, _u17960, _u17962) != _u17962) | ~hBOOL(hAPP(hAPP(c_member(_u17958), _u17953), hAPP(c_List_Oset(_u17958), _u17962))) | hBOOL(hAPP(_u17960, _u17953)) )).
% 29.00/29.26 cnf(matrix-7404, plain, ( ( c_List_OtakeWhile(_u17959, _u17961, _u17963) = _u17963) | hBOOL(hAPP(hAPP(c_member(_u17959), skolem409(_u17963, _u17961, _u17959)), hAPP(c_List_Oset(_u17959), _u17963))) )).
% 29.00/29.26 cnf(matrix-7405, plain, ( ( c_List_OtakeWhile(_u17959, _u17961, _u17963) = _u17963) | ~hBOOL(hAPP(_u17961, skolem409(_u17963, _u17961, _u17959))) )).
% 29.00/29.26 cnf(matrix-7406, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17964, _u17965), _u17966), c_List_OtakeWhile(_u17965, _u17967, _u17968)) = c_List_OtakeWhile(tc_prod(_u17964, _u17965), hAPP(c_Fun_Ocomp(_u17965, tc_HOL_Obool, tc_prod(_u17964, _u17965), _u17967), c_Product__Type_Osnd(_u17964, _u17965)), hAPP(hAPP(c_List_Ozip(_u17964, _u17965), _u17966), _u17968))) )).
% 29.00/29.26 cnf(matrix-7407, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17969, _u17970), c_List_OtakeWhile(_u17969, _u17971, _u17972)), _u17973) = c_List_OtakeWhile(tc_prod(_u17969, _u17970), hAPP(c_Fun_Ocomp(_u17969, tc_HOL_Obool, tc_prod(_u17969, _u17970), _u17971), c_Product__Type_Ofst(_u17969, _u17970)), hAPP(hAPP(c_List_Ozip(_u17969, _u17970), _u17972), _u17973))) )).
% 29.00/29.26 cnf(matrix-7408, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17974)), c_List_OtakeWhile(_u17974, _u17975, _u17976))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17974)), _u17976))) )).
% 29.00/29.26 cnf(matrix-7409, plain, ( ( c_List_Oreturn__list(_u17977) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u17977)) )).
% 29.00/29.26 cnf(matrix-7410, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17978), _u17979), hAPP(c_List_Oset(_u17978), _u17980))) | hBOOL(hAPP(_u17981, _u17979)) | ( c_List_OtakeWhile(_u17978, _u17981, hAPP(hAPP(c_List_Oappend(_u17978), _u17980), _u17982)) = c_List_OtakeWhile(_u17978, _u17981, _u17980)) )).
% 29.00/29.26 cnf(matrix-7411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17983)), c_List_OtakeWhile(_u17983, _u17984, _u17985))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17983)), _u17985))) | ~hBOOL(hAPP(_u17984, hAPP(hAPP(c_List_Onth(_u17983), _u17985), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17983)), c_List_OtakeWhile(_u17983, _u17984, _u17985))))) )).
% 29.00/29.26 cnf(matrix-7412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17986), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17987)), c_List_OtakeWhile(_u17987, _u17988, _u17989)))) | ( hAPP(hAPP(c_List_Onth(_u17987), c_List_OtakeWhile(_u17987, _u17988, _u17989)), _u17986) = hAPP(hAPP(c_List_Onth(_u17987), _u17989), _u17986)) )).
% 29.00/29.26 cnf(matrix-7413, plain, ( ( _u17990 = c_List_Olist_ONil(_u17991)) | ~hBOOL(hAPP(c_List_Odistinct(_u17991), _u17990)) | ( c_List_OtakeWhile(_u17991, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17991), c_fNot), hAPP(hAPP(c_COMBC(_u17991, _u17991, tc_HOL_Obool), c_fequal), c_List_Olast(_u17991, _u17990))), _u17990) = c_List_Obutlast(_u17991, _u17990)) )).
% 29.00/29.26 cnf(matrix-7414, plain, ( ~class_Orderings_Olinorder(_u17992) | ~c_List_Olinorder__class_Osorted(_u17992, hAPP(c_List_Orev(_u17992), hAPP(hAPP(c_List_Omap(_u17993, _u17992), _u17994), _u17995))) | ( hAPP(c_List_Ofilter(_u17993, hAPP(hAPP(c_COMBB(_u17992, tc_HOL_Obool, _u17993), hAPP(c_Orderings_Oord__class_Oless(_u17992), _u17996)), _u17994)), _u17995) = c_List_OtakeWhile(_u17993, hAPP(hAPP(c_COMBB(_u17992, tc_HOL_Obool, _u17993), hAPP(c_Orderings_Oord__class_Oless(_u17992), _u17996)), _u17994), _u17995)) )).
% 29.00/29.26 cnf(matrix-7415, plain, ( ~c_List_Onat__list(_u17997) | ( c_List_Oembed__list(c_List_Oreturn__list(_u17997)) = _u17997) )).
% 29.00/29.26 cnf(matrix-7416, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u17998), _u17999) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u17998)), c_List_Oembed__list(_u17999)))) )).
% 29.00/29.26 cnf(matrix-7417, plain, ( ( c_List_Oembed__list(_u18000) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18000)) )).
% 29.00/29.26 cnf(matrix-7418, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18001), _u18002)) | ~hBOOL(hAPP(hAPP(c_member(_u18001), _u18003), hAPP(c_List_Oset(_u18001), _u18002))) | ( c_List_OtakeWhile(_u18001, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18001), c_fNot), hAPP(hAPP(c_COMBC(_u18001, _u18001, tc_HOL_Obool), c_fequal), _u18003)), hAPP(c_List_Orev(_u18001), _u18002)) = hAPP(c_List_Orev(_u18001), hAPP(c_List_Otl(_u18001), c_List_OdropWhile(_u18001, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18001), c_fNot), hAPP(hAPP(c_COMBC(_u18001, _u18001, tc_HOL_Obool), c_fequal), _u18003)), _u18002)))) )).
% 29.00/29.26 cnf(matrix-7419, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18004), _u18005)) | ~hBOOL(hAPP(hAPP(c_member(_u18004), _u18006), hAPP(c_List_Oset(_u18004), _u18005))) | ( c_List_OdropWhile(_u18004, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18004), c_fNot), hAPP(hAPP(c_COMBC(_u18004, _u18004, tc_HOL_Obool), c_fequal), _u18006)), hAPP(c_List_Orev(_u18004), _u18005)) = hAPP(hAPP(c_List_Olist_OCons(_u18004), _u18006), hAPP(c_List_Orev(_u18004), c_List_OtakeWhile(_u18004, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18004), c_fNot), hAPP(hAPP(c_COMBC(_u18004, _u18004, tc_HOL_Obool), c_fequal), _u18006)), _u18005)))) )).
% 29.00/29.26 cnf(matrix-7420, plain, ( ~class_Orderings_Olinorder(_u18007) | ~c_List_Olinorder__class_Osorted(_u18007, _u18008) | c_List_Olinorder__class_Osorted(_u18007, c_List_OdropWhile(_u18007, _u18009, _u18008)) )).
% 29.00/29.26 cnf(matrix-7421, plain, ( ~hBOOL(hAPP(_u18014, _u18016)) | ( c_List_OdropWhile(_u18018, _u18014, hAPP(hAPP(c_List_Olist_OCons(_u18018), _u18016), _u18020)) = c_List_OdropWhile(_u18018, _u18014, _u18020)) )).
% 29.00/29.26 cnf(matrix-7422, plain, ( hBOOL(hAPP(_u18015, _u18017)) | ( c_List_OdropWhile(_u18019, _u18015, hAPP(hAPP(c_List_Olist_OCons(_u18019), _u18017), _u18021)) = hAPP(hAPP(c_List_Olist_OCons(_u18019), _u18017), _u18021)) )).
% 29.00/29.26 cnf(matrix-7423, plain, ( ( c_List_OdropWhile(_u18022, _u18023, c_List_Olist_ONil(_u18022)) = c_List_Olist_ONil(_u18022)) )).
% 29.00/29.26 cnf(matrix-7424, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18024), _u18025)) | hBOOL(hAPP(c_List_Odistinct(_u18024), c_List_OdropWhile(_u18024, _u18026, _u18025))) )).
% 29.00/29.26 cnf(matrix-7425, plain, ( ( c_List_OdropWhile(_u18032, _u18034, _u18036) != c_List_Olist_ONil(_u18032)) | ~hBOOL(hAPP(hAPP(c_member(_u18032), _u18027), hAPP(c_List_Oset(_u18032), _u18036))) | hBOOL(hAPP(_u18034, _u18027)) )).
% 29.00/29.26 cnf(matrix-7426, plain, ( ( c_List_OdropWhile(_u18033, _u18035, _u18037) = c_List_Olist_ONil(_u18033)) | hBOOL(hAPP(hAPP(c_member(_u18033), skolem410(_u18037, _u18035, _u18033)), hAPP(c_List_Oset(_u18033), _u18037))) )).
% 29.00/29.26 cnf(matrix-7427, plain, ( ( c_List_OdropWhile(_u18033, _u18035, _u18037) = c_List_Olist_ONil(_u18033)) | ~hBOOL(hAPP(_u18035, skolem410(_u18037, _u18035, _u18033))) )).
% 29.00/29.26 cnf(matrix-7428, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18038)), c_List_OdropWhile(_u18038, _u18039, _u18040))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18038)), _u18040))) )).
% 29.00/29.26 cnf(matrix-7429, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18041), c_List_OtakeWhile(_u18041, _u18042, _u18043)), c_List_OdropWhile(_u18041, _u18042, _u18043)) = _u18043) )).
% 29.00/29.26 cnf(matrix-7430, plain, ( ( c_List_OdropWhile(_u18044, _u18045, _u18046) = c_List_Olist_ONil(_u18044)) | ~hBOOL(hAPP(_u18045, hAPP(c_List_Ohd(_u18044), c_List_OdropWhile(_u18044, _u18045, _u18046)))) )).
% 29.00/29.26 cnf(matrix-7431, plain, ( ( c_List_OdropWhile(_u18047, _u18048, hAPP(hAPP(c_List_Omap(_u18049, _u18047), _u18050), _u18051)) = hAPP(hAPP(c_List_Omap(_u18049, _u18047), _u18050), c_List_OdropWhile(_u18049, hAPP(c_Fun_Ocomp(_u18047, tc_HOL_Obool, _u18049, _u18048), _u18050), _u18051))) )).
% 29.00/29.26 cnf(matrix-7432, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18052), _u18053), hAPP(c_List_Oset(_u18052), _u18054))) | hBOOL(hAPP(_u18055, _u18053)) | ( c_List_OdropWhile(_u18052, _u18055, hAPP(hAPP(c_List_Oappend(_u18052), _u18054), _u18056)) = hAPP(hAPP(c_List_Oappend(_u18052), c_List_OdropWhile(_u18052, _u18055, _u18054)), _u18056)) )).
% 29.00/29.26 cnf(matrix-7433, plain, ( ( c_List_OdropWhile(_u18062, _u18064, _u18066) != hAPP(hAPP(c_List_Olist_OCons(_u18062), _u18068), _u18070)) | ( _u18066 = hAPP(hAPP(c_List_Oappend(_u18062), c_List_OtakeWhile(_u18062, _u18064, _u18066)), hAPP(hAPP(c_List_Olist_OCons(_u18062), _u18068), _u18070))) )).
% 29.00/29.26 cnf(matrix-7434, plain, ( ( c_List_OdropWhile(_u18062, _u18064, _u18066) != hAPP(hAPP(c_List_Olist_OCons(_u18062), _u18068), _u18070)) | ~hBOOL(hAPP(_u18064, _u18068)) )).
% 29.00/29.26 cnf(matrix-7435, plain, ( ( _u18067 != hAPP(hAPP(c_List_Oappend(_u18063), c_List_OtakeWhile(_u18063, _u18065, _u18067)), hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18069), _u18071))) | hBOOL(hAPP(_u18065, _u18069)) | ( c_List_OdropWhile(_u18063, _u18065, _u18067) = hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18069), _u18071)) )).
% 29.00/29.26 cnf(matrix-7436, plain, ( ( c_List_OdropWhile(_u18072, _u18073, _u18074) = hAPP(hAPP(c_List_Odrop(_u18072), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18072)), c_List_OtakeWhile(_u18072, _u18073, _u18074))), _u18074)) )).
% 29.00/29.26 cnf(matrix-7437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18076)), c_List_OdropWhile(_u18076, _u18077, _u18078)))) | ( hAPP(hAPP(c_List_Onth(_u18076), c_List_OdropWhile(_u18076, _u18077, _u18078)), _u18075) = hAPP(hAPP(c_List_Onth(_u18076), _u18078), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18076)), c_List_OtakeWhile(_u18076, _u18077, _u18078))))) )).
% 29.00/29.26 cnf(matrix-7438, plain, ( ~class_Groups_Omonoid__add(_u18080) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), hAPP(c_List_Ofilter(_u18081, _u18083), _u18082))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), _u18082))) | hBOOL(hAPP(hAPP(c_member(_u18081), skolem411(_u18084, _u18083, _u18082, _u18081, _u18080)), hAPP(c_List_Oset(_u18081), _u18082))) )).
% 29.00/29.26 cnf(matrix-7439, plain, ( ~class_Groups_Omonoid__add(_u18080) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), hAPP(c_List_Ofilter(_u18081, _u18083), _u18082))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), _u18082))) | ~hBOOL(hAPP(_u18083, skolem411(_u18084, _u18083, _u18082, _u18081, _u18080))) )).
% 29.00/29.26 cnf(matrix-7440, plain, ( ~class_Groups_Omonoid__add(_u18080) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), hAPP(c_List_Ofilter(_u18081, _u18083), _u18082))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18080), hAPP(hAPP(c_List_Omap(_u18081, _u18080), _u18084), _u18082))) | ( hAPP(_u18084, skolem411(_u18084, _u18083, _u18082, _u18081, _u18080)) != c_Groups_Ozero__class_Ozero(_u18080)) )).
% 29.00/29.26 cnf(matrix-7441, plain, ( ~class_Orderings_Olinorder(_u18087) | c_List_Olinorder__class_Osorted(_u18087, _u18088) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem412(_u18088, _u18087)), skolem413(_u18088, _u18087))) )).
% 29.00/29.26 cnf(matrix-7442, plain, ( ~class_Orderings_Olinorder(_u18087) | c_List_Olinorder__class_Osorted(_u18087, _u18088) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem413(_u18088, _u18087)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18087)), _u18088))) )).
% 29.00/29.26 cnf(matrix-7443, plain, ( ~class_Orderings_Olinorder(_u18087) | c_List_Olinorder__class_Osorted(_u18087, _u18088) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18087), hAPP(hAPP(c_List_Onth(_u18087), _u18088), skolem412(_u18088, _u18087))), hAPP(hAPP(c_List_Onth(_u18087), _u18088), skolem413(_u18088, _u18087)))) )).
% 29.00/29.26 cnf(matrix-7444, plain, ( ~class_Orderings_Olinorder(_u18089) | ( c_List_Olinorder__class_Osort__key(_u18089, _u18089, c_COMBI(_u18089), _u18090) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18089), _u18089, hAPP(c_COMBC(_u18089, tc_List_Olist(_u18089), tc_List_Olist(_u18089)), c_List_Olinorder__class_Oinsort__key(_u18089, _u18089, c_COMBI(_u18089))), c_List_Olist_ONil(_u18089)), _u18090)) )).
% 29.00/29.26 cnf(matrix-7445, plain, ( ( c_List_OtakeWhile(_u18092, _u18093, _u18094) = hAPP(c_List_Ofilter(_u18092, _u18093), _u18094)) | hBOOL(hAPP(hAPP(c_member(_u18092), skolem414(_u18094, _u18093, _u18092)), hAPP(c_List_Oset(_u18092), c_List_OdropWhile(_u18092, _u18093, _u18094)))) )).
% 29.00/29.26 cnf(matrix-7446, plain, ( ( c_List_OtakeWhile(_u18092, _u18093, _u18094) = hAPP(c_List_Ofilter(_u18092, _u18093), _u18094)) | hBOOL(hAPP(_u18093, skolem414(_u18094, _u18093, _u18092))) )).
% 29.00/29.26 cnf(matrix-7447, plain, ( ~class_Orderings_Olinorder(_u18095) | c_List_Olinorder__class_Osorted(_u18095, c_List_Olinorder__class_Osort__key(_u18095, _u18095, c_COMBI(_u18095), _u18096)) )).
% 29.00/29.26 cnf(matrix-7448, plain, ( ~class_Orderings_Olinorder(_u18097) | ( c_List_Olinorder__class_Osort__key(_u18098, _u18097, _u18099, c_List_Olist_ONil(_u18098)) = c_List_Olist_ONil(_u18098)) )).
% 29.00/29.26 cnf(matrix-7449, plain, ( ~class_Orderings_Olinorder(_u18100) | ~hBOOL(hAPP(c_List_Odistinct(_u18101), c_List_Olinorder__class_Osort__key(_u18101, _u18100, _u18102, _u18103))) | hBOOL(hAPP(c_List_Odistinct(_u18101), _u18103)) )).
% 29.00/29.26 cnf(matrix-7450, plain, ( ~class_Orderings_Olinorder(_u18100) | ~hBOOL(hAPP(c_List_Odistinct(_u18101), _u18103)) | hBOOL(hAPP(c_List_Odistinct(_u18101), c_List_Olinorder__class_Osort__key(_u18101, _u18100, _u18102, _u18103))) )).
% 29.00/29.26 cnf(matrix-7451, plain, ( ~class_Orderings_Olinorder(_u18104) | ( hAPP(c_List_Ofilter(_u18105, _u18106), c_List_Olinorder__class_Osort__key(_u18105, _u18104, _u18107, _u18108)) = c_List_Olinorder__class_Osort__key(_u18105, _u18104, _u18107, hAPP(c_List_Ofilter(_u18105, _u18106), _u18108))) )).
% 29.00/29.26 cnf(matrix-7452, plain, ( ~class_Orderings_Olinorder(_u18109) | ( hAPP(c_List_Oset(_u18110), c_List_Olinorder__class_Osort__key(_u18110, _u18109, _u18111, _u18112)) = hAPP(c_List_Oset(_u18110), _u18112)) )).
% 29.00/29.26 cnf(matrix-7453, plain, ( ~class_Orderings_Olinorder(_u18113) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18114)), c_List_Olinorder__class_Osort__key(_u18114, _u18113, _u18115, _u18116)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18114)), _u18116)) )).
% 29.00/29.26 cnf(matrix-7454, plain, ( ~class_Orderings_Olinorder(_u18117) | c_List_Olinorder__class_Osorted(_u18117, hAPP(hAPP(c_List_Omap(_u18118, _u18117), _u18119), c_List_Olinorder__class_Osort__key(_u18118, _u18117, _u18119, _u18120))) )).
% 29.00/29.26 cnf(matrix-7455, plain, ( ~class_Orderings_Olinorder(_u18121) | ( c_List_Olinorder__class_Osort__key(_u18122, _u18121, _u18123, hAPP(hAPP(c_List_Olist_OCons(_u18122), _u18124), _u18125)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18122, _u18121, _u18123), _u18124), c_List_Olinorder__class_Osort__key(_u18122, _u18121, _u18123, _u18125))) )).
% 29.00/29.26 cnf(matrix-7456, plain, ( ~class_Orderings_Olinorder(_u18126) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18126, hAPP(c_List_Oset(_u18126), _u18127)) = c_List_Olinorder__class_Osort__key(_u18126, _u18126, c_COMBI(_u18126), c_List_Oremdups(_u18126, _u18127))) )).
% 29.00/29.26 cnf(matrix-7457, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u18132, _u18131, _u18130, _u18129)), _u18129)) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) )).
% 29.00/29.26 cnf(matrix-7458, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u18132, _u18131, _u18130, _u18129)), _u18129)) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), _u18129))) )).
% 29.00/29.26 cnf(matrix-7459, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u18132, _u18131, _u18130, _u18129)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) )).
% 29.00/29.26 cnf(matrix-7460, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem415(_u18132, _u18131, _u18130, _u18129)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), _u18129))) )).
% 29.00/29.26 cnf(matrix-7461, plain, ( ~hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), skolem415(_u18132, _u18131, _u18130, _u18129)))) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18129), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18130)), _u18131))) )).
% 29.00/29.26 cnf(matrix-7462, plain, ( ~hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), skolem415(_u18132, _u18131, _u18130, _u18129)))) | ( c_List_OtakeWhile(_u18130, _u18132, _u18131) = hAPP(hAPP(c_List_Otake(_u18130), _u18129), _u18131)) | hBOOL(hAPP(_u18132, hAPP(hAPP(c_List_Onth(_u18130), _u18131), _u18129))) )).
% 29.00/29.26 cnf(matrix-7463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18134), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18136)), _u18137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18134), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18136)), c_List_OtakeWhile(_u18136, _u18135, _u18137)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem416(_u18137, _u18136, _u18135, _u18134)), _u18134)) )).
% 29.00/29.26 cnf(matrix-7464, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18134), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18136)), _u18137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18134), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18136)), c_List_OtakeWhile(_u18136, _u18135, _u18137)))) | ~hBOOL(hAPP(_u18135, hAPP(hAPP(c_List_Onth(_u18136), _u18137), skolem416(_u18137, _u18136, _u18135, _u18134)))) )).
% 29.00/29.26 cnf(matrix-7465, plain, ( ~class_Orderings_Olinorder(_u18144) | ~c_List_Olinorder__class_Osorted(_u18144, _u18145) | ( _u18145 = c_List_Olist_ONil(_u18144)) | c_List_Olinorder__class_Osorted(_u18144, skolem417(_u18145, _u18144)) )).
% 29.00/29.26 cnf(matrix-7466, plain, ( ~class_Orderings_Olinorder(_u18144) | ~c_List_Olinorder__class_Osorted(_u18144, _u18145) | ( _u18145 = c_List_Olist_ONil(_u18144)) | ( _u18145 = hAPP(hAPP(c_List_Olist_OCons(_u18144), skolem418(_u18145, _u18144)), skolem417(_u18145, _u18144))) )).
% 29.00/29.26 cnf(matrix-7467, plain, ( ~class_Orderings_Olinorder(_u18144) | ~c_List_Olinorder__class_Osorted(_u18144, _u18145) | ( _u18145 = c_List_Olist_ONil(_u18144)) | ~hBOOL(hAPP(hAPP(c_member(_u18144), _u18138), hAPP(c_List_Oset(_u18144), skolem417(_u18145, _u18144)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18144), skolem418(_u18145, _u18144)), _u18138)) )).
% 29.00/29.26 cnf(matrix-7468, plain, ( ~class_Orderings_Olinorder(_u18144) | c_List_Olinorder__class_Osorted(_u18144, _u18145) | ( _u18145 != c_List_Olist_ONil(_u18144)) )).
% 29.00/29.26 cnf(matrix-7469, plain, ( ~class_Orderings_Olinorder(_u18144) | c_List_Olinorder__class_Osorted(_u18144, _u18145) | ~c_List_Olinorder__class_Osorted(_u18144, _u18143) | ( _u18145 != hAPP(hAPP(c_List_Olist_OCons(_u18144), _u18142), _u18143)) | hBOOL(hAPP(hAPP(c_member(_u18144), skolem419(_u18145, _u18144, _u18143, _u18142)), hAPP(c_List_Oset(_u18144), _u18143))) )).
% 29.00/29.26 cnf(matrix-7470, plain, ( ~class_Orderings_Olinorder(_u18144) | c_List_Olinorder__class_Osorted(_u18144, _u18145) | ~c_List_Olinorder__class_Osorted(_u18144, _u18143) | ( _u18145 != hAPP(hAPP(c_List_Olist_OCons(_u18144), _u18142), _u18143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18144), _u18142), skolem419(_u18145, _u18144, _u18143, _u18142))) )).
% 29.00/29.26 cnf(matrix-7471, plain, ( ( c_List_Omaps(_u18146, _u18147, _u18148, _u18149) = c_List_Oconcat(_u18147, hAPP(hAPP(c_List_Omap(_u18146, tc_List_Olist(_u18147)), _u18148), _u18149))) )).
% 29.00/29.26 cnf(matrix-7472, plain, ( ( c_List_Omaps(_u18150, _u18151, _u18152, c_List_Olist_ONil(_u18150)) = c_List_Olist_ONil(_u18151)) )).
% 29.00/29.26 cnf(matrix-7473, plain, ( ( c_List_Omaps(_u18153, _u18154, _u18155, hAPP(hAPP(c_List_Olist_OCons(_u18153), _u18156), _u18157)) = hAPP(hAPP(c_List_Oappend(_u18154), hAPP(_u18155, _u18156)), c_List_Omaps(_u18153, _u18154, _u18155, _u18157))) )).
% 29.00/29.26 cnf(matrix-7474, plain, ( ( c_List_Oconcat(_u18158, hAPP(hAPP(c_List_Omap(_u18159, tc_List_Olist(_u18158)), _u18160), _u18161)) = c_List_Omaps(_u18159, _u18158, _u18160, _u18161)) )).
% 29.00/29.26 cnf(matrix-7475, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem420(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem421(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) )).
% 29.00/29.26 cnf(matrix-7476, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem420(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem422(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) )).
% 29.00/29.26 cnf(matrix-7477, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem420(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | ( skolem421(_u18166, _u18165) != skolem422(_u18166, _u18165)) )).
% 29.00/29.26 cnf(matrix-7478, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem420(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18165, tc_HOL_Obool)), hAPP(c_List_Oset(_u18165), skolem421(_u18166, _u18165))), hAPP(c_List_Oset(_u18165), skolem422(_u18166, _u18165))) != c_Orderings_Obot__class_Obot(tc_fun(_u18165, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7479, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | ~hBOOL(hAPP(c_List_Odistinct(_u18165), skolem420(_u18166, _u18165))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem421(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) )).
% 29.00/29.26 cnf(matrix-7480, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | ~hBOOL(hAPP(c_List_Odistinct(_u18165), skolem420(_u18166, _u18165))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18165)), skolem422(_u18166, _u18165)), hAPP(c_List_Oset(tc_List_Olist(_u18165)), _u18166))) )).
% 29.00/29.26 cnf(matrix-7481, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | ~hBOOL(hAPP(c_List_Odistinct(_u18165), skolem420(_u18166, _u18165))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | ( skolem421(_u18166, _u18165) != skolem422(_u18166, _u18165)) )).
% 29.00/29.26 cnf(matrix-7482, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18165)), _u18166)) | ~hBOOL(hAPP(c_List_Odistinct(_u18165), skolem420(_u18166, _u18165))) | hBOOL(hAPP(c_List_Odistinct(_u18165), c_List_Oconcat(_u18165, _u18166))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18165, tc_HOL_Obool)), hAPP(c_List_Oset(_u18165), skolem421(_u18166, _u18165))), hAPP(c_List_Oset(_u18165), skolem422(_u18166, _u18165))) != c_Orderings_Obot__class_Obot(tc_fun(_u18165, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18167, _u18168)), hAPP(_u18167, _u18169))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18170, _u18170)), hAPP(hAPP(c_Product__Type_OPair(_u18170, _u18170), _u18168), _u18169)), c_List_Omeasures(_u18170, _u18171))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18170, _u18170)), hAPP(hAPP(c_Product__Type_OPair(_u18170, _u18170), _u18168), _u18169)), c_List_Omeasures(_u18170, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18170, tc_Nat_Onat)), _u18167), _u18171)))) )).
% 29.00/29.26 cnf(matrix-7484, plain, ( c_Wellfounded_Owf(_u18172, c_List_Omeasures(_u18172, _u18173)) )).
% 29.00/29.26 cnf(matrix-7485, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18174, _u18174)), hAPP(hAPP(c_Product__Type_OPair(_u18174, _u18174), _u18175), _u18176)), c_List_Omeasures(_u18174, c_List_Olist_ONil(tc_fun(_u18174, tc_Nat_Onat))))) )).
% 29.00/29.26 cnf(matrix-7486, plain, ( ( c_List_Omeasures(_u18177, _u18178) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18177), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18177, tc_List_Olist(tc_fun(_u18177, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18177, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18177, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18177), c_List_Omap(tc_fun(_u18177, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18177, tc_Nat_Onat), _u18177, tc_Nat_Onat), c_COMBI(tc_fun(_u18177, tc_Nat_Onat))))), _u18178))) )).
% 29.00/29.26 cnf(matrix-7487, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18184, _u18184)), hAPP(hAPP(c_Product__Type_OPair(_u18184, _u18184), _u18186), _u18188)), c_List_Omeasures(_u18184, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18184, tc_Nat_Onat)), _u18190), _u18192)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18190, _u18186)), hAPP(_u18190, _u18188))) | ( hAPP(_u18190, _u18186) = hAPP(_u18190, _u18188)) )).
% 29.00/29.26 cnf(matrix-7488, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18184, _u18184)), hAPP(hAPP(c_Product__Type_OPair(_u18184, _u18184), _u18186), _u18188)), c_List_Omeasures(_u18184, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18184, tc_Nat_Onat)), _u18190), _u18192)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18190, _u18186)), hAPP(_u18190, _u18188))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18184, _u18184)), hAPP(hAPP(c_Product__Type_OPair(_u18184, _u18184), _u18186), _u18188)), c_List_Omeasures(_u18184, _u18192))) )).
% 29.00/29.26 cnf(matrix-7489, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18185, _u18185)), hAPP(hAPP(c_Product__Type_OPair(_u18185, _u18185), _u18187), _u18189)), c_List_Omeasures(_u18185, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18185, tc_Nat_Onat)), _u18191), _u18193)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18191, _u18187)), hAPP(_u18191, _u18189))) )).
% 29.00/29.26 cnf(matrix-7490, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18185, _u18185)), hAPP(hAPP(c_Product__Type_OPair(_u18185, _u18185), _u18187), _u18189)), c_List_Omeasures(_u18185, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18185, tc_Nat_Onat)), _u18191), _u18193)))) | ( hAPP(_u18191, _u18187) != hAPP(_u18191, _u18189)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18185, _u18185)), hAPP(hAPP(c_Product__Type_OPair(_u18185, _u18185), _u18187), _u18189)), c_List_Omeasures(_u18185, _u18193))) )).
% 29.00/29.26 cnf(matrix-7491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18194, _u18195)), hAPP(_u18194, _u18196))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18197, _u18197)), hAPP(hAPP(c_Product__Type_OPair(_u18197, _u18197), _u18195), _u18196)), c_List_Omeasures(_u18197, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18197, tc_Nat_Onat)), _u18194), _u18198)))) )).
% 29.00/29.26 cnf(matrix-7492, plain, ( ( _u18200 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18201, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u18201, _u18202, _u18203, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18201, tc_HOL_Obool), _u18200)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18201, tc_HOL_Obool)), skolem423(_u18203, _u18202, _u18201, _u18200)), _u18200)) )).
% 29.00/29.26 cnf(matrix-7493, plain, ( ( _u18200 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18201, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u18201, _u18202, _u18203, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18201, tc_HOL_Obool), _u18200)) | ~c_Fun_Oinj__on(_u18201, _u18202, _u18203, skolem423(_u18203, _u18202, _u18201, _u18200)) )).
% 29.00/29.26 cnf(matrix-7494, plain, ( ( _u18206 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18205, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18205, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18205, tc_HOL_Obool), _u18206)), _u18207)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18205, tc_HOL_Obool)), skolem424(_u18207, _u18206, _u18205)), _u18206)) )).
% 29.00/29.26 cnf(matrix-7495, plain, ( ( _u18206 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18205, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18205, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18205, tc_HOL_Obool), _u18206)), _u18207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18205, tc_HOL_Obool)), skolem424(_u18207, _u18206, _u18205)), _u18207)) )).
% 29.00/29.26 cnf(matrix-7496, plain, ( ( hAPP(c_List_Ofoldl(_u18211, _u18209, hAPP(c_COMBC(_u18209, _u18211, _u18211), _u18213), hAPP(_u18214, _u18216)), _u18210) = hAPP(_u18214, hAPP(c_List_Ofoldl(_u18212, _u18209, hAPP(c_COMBC(_u18209, _u18212, _u18212), _u18215), _u18216), _u18210))) | hBOOL(hAPP(hAPP(c_member(_u18209), skolem425(_u18216, _u18215, _u18214, _u18213, _u18212, _u18211, _u18210, _u18209)), hAPP(c_List_Oset(_u18209), _u18210))) )).
% 29.00/29.26 cnf(matrix-7497, plain, ( ( hAPP(c_List_Ofoldl(_u18211, _u18209, hAPP(c_COMBC(_u18209, _u18211, _u18211), _u18213), hAPP(_u18214, _u18216)), _u18210) = hAPP(_u18214, hAPP(c_List_Ofoldl(_u18212, _u18209, hAPP(c_COMBC(_u18209, _u18212, _u18212), _u18215), _u18216), _u18210))) | ( hAPP(c_Fun_Ocomp(_u18211, _u18211, _u18212, hAPP(_u18213, skolem425(_u18216, _u18215, _u18214, _u18213, _u18212, _u18211, _u18210, _u18209))), _u18214) != hAPP(c_Fun_Ocomp(_u18212, _u18211, _u18212, _u18214), hAPP(_u18215, skolem425(_u18216, _u18215, _u18214, _u18213, _u18212, _u18211, _u18210, _u18209)))) )).
% 29.00/29.26 cnf(matrix-7498, plain, ( ~c_Wellfounded_OwfP(_u18219, _u18221) | c_Wellfounded_Owf(_u18219, hAPP(c_Set_OCollect(tc_prod(_u18219, _u18219)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18219, _u18219, tc_HOL_Obool), _u18221))) )).
% 29.00/29.26 cnf(matrix-7499, plain, ( ~c_Wellfounded_Owf(_u18220, hAPP(c_Set_OCollect(tc_prod(_u18220, _u18220)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18220, _u18220, tc_HOL_Obool), _u18222))) | c_Wellfounded_OwfP(_u18220, _u18222) )).
% 29.00/29.26 cnf(matrix-7500, plain, ( c_Wellfounded_OwfP(_u18223, hAPP(c_COMBK(tc_fun(_u18223, tc_HOL_Obool), _u18223), hAPP(c_COMBK(tc_HOL_Obool, _u18223), c_fFalse))) )).
% 29.00/29.26 cnf(matrix-7501, plain, ( ~c_Wellfounded_OwfP(_u18224, _u18225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18224, tc_fun(_u18224, tc_HOL_Obool))), _u18226), _u18225)) | c_Wellfounded_OwfP(_u18224, _u18226) )).
% 29.00/29.26 cnf(matrix-7502, plain, ( ~c_Wellfounded_OwfP(_u18227, _u18228) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u18227, _u18228), _u18229)) )).
% 29.00/29.26 cnf(matrix-7503, plain, ( ~c_Wellfounded_OwfP(_u18234, _u18236) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u18234, _u18236), _u18230)) )).
% 29.00/29.26 cnf(matrix-7504, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u18235, _u18237), skolem426(_u18237, _u18235))) | c_Wellfounded_OwfP(_u18235, _u18237) )).
% 29.00/29.26 cnf(matrix-7505, plain, ( ~c_Wellfounded_Owf(_u18238, _u18239) | c_Wellfounded_OwfP(_u18238, c_FunDef_Oin__rel(_u18238, _u18238, _u18239)) )).
% 29.00/29.26 cnf(matrix-7506, plain, ( ~c_Wellfounded_OwfP(_u18242, hAPP(hAPP(c_COMBC(_u18242, tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_fun(_u18242, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18242, tc_fun(tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_fun(_u18242, tc_HOL_Obool)), _u18242), c_COMBC(_u18242, tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18242, tc_prod(_u18242, _u18242)), tc_fun(_u18242, tc_fun(tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_HOL_Obool)), _u18242), hAPP(c_COMBB(tc_prod(_u18242, _u18242), tc_fun(tc_fun(tc_prod(_u18242, _u18242), tc_HOL_Obool), tc_HOL_Obool), _u18242), c_member(tc_prod(_u18242, _u18242)))), c_Product__Type_OPair(_u18242, _u18242)))), _u18244)) | c_Wellfounded_Owf(_u18242, _u18244) )).
% 29.00/29.26 cnf(matrix-7507, plain, ( ~c_Wellfounded_Owf(_u18243, _u18245) | c_Wellfounded_OwfP(_u18243, hAPP(hAPP(c_COMBC(_u18243, tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_fun(_u18243, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18243, tc_fun(tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_fun(_u18243, tc_HOL_Obool)), _u18243), c_COMBC(_u18243, tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18243, tc_prod(_u18243, _u18243)), tc_fun(_u18243, tc_fun(tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_HOL_Obool)), _u18243), hAPP(c_COMBB(tc_prod(_u18243, _u18243), tc_fun(tc_fun(tc_prod(_u18243, _u18243), tc_HOL_Obool), tc_HOL_Obool), _u18243), c_member(tc_prod(_u18243, _u18243)))), c_Product__Type_OPair(_u18243, _u18243)))), _u18245)) )).
% 29.00/29.26 cnf(matrix-7508, plain, ( ~c_Wellfounded_OwfP(_u18246, _u18247) | c_Wellfounded_Oacyclic(_u18246, hAPP(c_Set_OCollect(tc_prod(_u18246, _u18246)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18246, _u18246, tc_HOL_Obool), _u18247))) )).
% 29.00/29.26 cnf(matrix-7509, plain, ( ~class_Orderings_Oorder(_u18248) | ~class_Enum_Oenum(_u18249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18249, _u18248)), _u18250), _u18251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18249, _u18248)), _u18250), _u18251)) )).
% 29.00/29.26 cnf(matrix-7510, plain, ( ~class_Orderings_Oorder(_u18248) | ~class_Enum_Oenum(_u18249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18249, _u18248)), _u18250), _u18251)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18249), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18249), c_fNot), hAPP(hAPP(c_COMBS(_u18249, _u18248, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18248, tc_fun(_u18248, tc_HOL_Obool), _u18249), c_fequal), _u18250)), _u18251)))) )).
% 29.00/29.26 cnf(matrix-7511, plain, ( ~class_Orderings_Oorder(_u18248) | ~class_Enum_Oenum(_u18249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18249, _u18248)), _u18250), _u18251)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18249), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18249), c_fNot), hAPP(hAPP(c_COMBS(_u18249, _u18248, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18248, tc_fun(_u18248, tc_HOL_Obool), _u18249), c_fequal), _u18250)), _u18251)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18249, _u18248)), _u18250), _u18251)) )).
% 29.00/29.26 cnf(matrix-7512, plain, ( ~c_Wellfounded_Oacyclic(_u18252, _u18253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18252, _u18252), tc_HOL_Obool)), _u18254), _u18253)) | c_Wellfounded_Oacyclic(_u18252, _u18254) )).
% 29.00/29.26 cnf(matrix-7513, plain, ( ~c_Wellfounded_Owf(_u18255, _u18256) | c_Wellfounded_Oacyclic(_u18255, _u18256) )).
% 29.00/29.26 cnf(matrix-7514, plain, ( ~class_Enum_Oenum(_u18257) | ~class_Enum_Oenum(_u18258) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18258, _u18257)), _u18259)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18258), hAPP(hAPP(c_COMBB(tc_fun(_u18257, tc_HOL_Obool), tc_HOL_Obool, _u18258), c_Enum_Oenum__class_Oenum__ex(_u18257)), hAPP(hAPP(c_COMBB(tc_fun(_u18257, tc_prod(_u18258, _u18257)), tc_fun(_u18257, tc_HOL_Obool), _u18258), hAPP(c_COMBB(tc_prod(_u18258, _u18257), tc_HOL_Obool, _u18257), _u18259)), c_Product__Type_OPair(_u18258, _u18257))))) )).
% 29.00/29.26 cnf(matrix-7515, plain, ( ~class_Enum_Oenum(_u18257) | ~class_Enum_Oenum(_u18258) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18258), hAPP(hAPP(c_COMBB(tc_fun(_u18257, tc_HOL_Obool), tc_HOL_Obool, _u18258), c_Enum_Oenum__class_Oenum__ex(_u18257)), hAPP(hAPP(c_COMBB(tc_fun(_u18257, tc_prod(_u18258, _u18257)), tc_fun(_u18257, tc_HOL_Obool), _u18258), hAPP(c_COMBB(tc_prod(_u18258, _u18257), tc_HOL_Obool, _u18257), _u18259)), c_Product__Type_OPair(_u18258, _u18257))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18258, _u18257)), _u18259)) )).
% 29.00/29.26 cnf(matrix-7516, plain, ( ~class_Enum_Oenum(_u18262) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18262), _u18263)) | hBOOL(hAPP(_u18263, skolem427(_u18263, _u18262))) )).
% 29.00/29.26 cnf(matrix-7517, plain, ( ~class_Enum_Oenum(_u18262) | ~hBOOL(hAPP(_u18263, _u18261)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18262), _u18263)) )).
% 29.00/29.26 cnf(matrix-7518, plain, ( ~class_Enum_Oenum(_u18266) | ~hBOOL(hAPP(_u18267, _u18264)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18266), _u18267)) )).
% 29.00/29.26 cnf(matrix-7519, plain, ( ~class_Enum_Oenum(_u18266) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18266), _u18267)) | hBOOL(hAPP(_u18267, skolem428(_u18267, _u18266))) )).
% 29.00/29.26 cnf(matrix-7520, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18268, _u18268)), _u18269)) | ~c_Wellfounded_Owf(_u18268, _u18269) | c_Wellfounded_Oacyclic(_u18268, _u18269) )).
% 29.00/29.26 cnf(matrix-7521, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18268, _u18268)), _u18269)) | ~c_Wellfounded_Oacyclic(_u18268, _u18269) | c_Wellfounded_Owf(_u18268, _u18269) )).
% 29.00/29.26 cnf(matrix-7522, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18270, _u18270)), _u18271)) | ~c_Wellfounded_Oacyclic(_u18270, _u18271) | c_Wellfounded_Owf(_u18270, _u18271) )).
% 29.00/29.26 cnf(matrix-7523, plain, ( ~c_Nitpick_Owf_H(_u18274, _u18276) | c_Wellfounded_Oacyclic(_u18274, _u18276) )).
% 29.00/29.26 cnf(matrix-7524, plain, ( ~c_Nitpick_Owf_H(_u18274, _u18276) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18274, _u18274)), _u18276)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 29.00/29.26 cnf(matrix-7525, plain, ( c_Nitpick_Owf_H(_u18275, _u18277) | ~c_Wellfounded_Oacyclic(_u18275, _u18277) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18275, _u18275)), _u18277)) )).
% 29.00/29.26 cnf(matrix-7526, plain, ( c_Nitpick_Owf_H(_u18275, _u18277) | ~c_Wellfounded_Oacyclic(_u18275, _u18277) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 29.00/29.26 cnf(matrix-7527, plain, ( ( _u18279 = c_Orderings_Obot__class_Obot(tc_fun(_u18280, tc_HOL_Obool))) | c_Fun_Oinj__on(_u18281, _u18282, _u18283, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18280, tc_fun(_u18281, tc_HOL_Obool)), _u18279), _u18284)) | hBOOL(hAPP(hAPP(c_member(_u18280), skolem429(_u18284, _u18283, _u18282, _u18281, _u18280, _u18279)), _u18279)) )).
% 29.00/29.26 cnf(matrix-7528, plain, ( ( _u18279 = c_Orderings_Obot__class_Obot(tc_fun(_u18280, tc_HOL_Obool))) | c_Fun_Oinj__on(_u18281, _u18282, _u18283, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18280, tc_fun(_u18281, tc_HOL_Obool)), _u18279), _u18284)) | ~c_Fun_Oinj__on(_u18281, _u18282, _u18283, hAPP(_u18284, skolem429(_u18284, _u18283, _u18282, _u18281, _u18280, _u18279))) )).
% 29.00/29.26 cnf(matrix-7529, plain, ( hBOOL(hAPP(_u18289, hAPP(hAPP(c_List_Ozip(_u18285, _u18287), _u18286), _u18288))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), hAPP(hAPP(c_List_Otake(_u18285), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), _u18286)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288))), _u18286)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), hAPP(hAPP(c_List_Otake(_u18287), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), _u18286)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288))), _u18288))) )).
% 29.00/29.26 cnf(matrix-7530, plain, ( hBOOL(hAPP(_u18289, hAPP(hAPP(c_List_Ozip(_u18285, _u18287), _u18286), _u18288))) | ~hBOOL(hAPP(_u18289, hAPP(hAPP(c_List_Ozip(_u18285, _u18287), hAPP(hAPP(c_List_Otake(_u18285), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), _u18286)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288))), _u18286)), hAPP(hAPP(c_List_Otake(_u18287), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18285)), _u18286)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288))), _u18288)))) )).
% 29.00/29.26 cnf(matrix-7531, plain, ( ( c_HOL_OThe(_u18290, hAPP(c_fequal, _u18291)) = _u18291) )).
% 29.00/29.26 cnf(matrix-7532, plain, ( ( c_HOL_OThe(_u18292, hAPP(hAPP(c_COMBC(_u18292, _u18292, tc_HOL_Obool), c_fequal), _u18293)) = _u18293) )).
% 29.00/29.26 cnf(matrix-7533, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u18295), _u18296)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18297), hAPP(c_Set_Oimage(_u18295, _u18297, _u18298), _u18296))) | hBOOL(hAPP(hAPP(c_member(_u18295), skolem430(_u18298, _u18297, _u18296, _u18295)), _u18296)) )).
% 29.00/29.26 cnf(matrix-7534, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u18295), _u18296)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18297), hAPP(c_Set_Oimage(_u18295, _u18297, _u18298), _u18296))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18295), hAPP(c_Set_OCollect(_u18295), hAPP(hAPP(c_COMBS(_u18295, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18295), c_fconj), hAPP(hAPP(c_COMBC(_u18295, tc_fun(_u18295, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18295)), _u18296))), hAPP(hAPP(c_COMBC(_u18295, _u18297, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18297, tc_fun(_u18297, tc_HOL_Obool), _u18295), c_fequal), _u18298)), hAPP(_u18298, skolem430(_u18298, _u18297, _u18296, _u18295))))))) )).
% 29.00/29.26 cnf(matrix-7535, plain, ( hBOOL(hAPP(_u18300, _u18301)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem431(_u18301, _u18300)), c_Int_OInteg)) )).
% 29.00/29.26 cnf(matrix-7536, plain, ( hBOOL(hAPP(_u18300, _u18301)) | ~hBOOL(hAPP(_u18300, hAPP(c_Int_OAbs__Integ, skolem431(_u18301, _u18300)))) )).
% 29.00/29.26 cnf(matrix-7537, plain, ( ( _u18303 = hAPP(c_Int_OAbs__Integ, skolem432(_u18303))) )).
% 29.00/29.26 cnf(matrix-7538, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem432(_u18303)), c_Int_OInteg)) )).
% 29.00/29.26 cnf(matrix-7539, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18305), _u18306)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18307), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18305, tc_fun(_u18307, tc_HOL_Obool)), _u18306), _u18308))) | hBOOL(hAPP(hAPP(c_member(_u18305), skolem433(_u18308, _u18307, _u18306, _u18305)), _u18306)) )).
% 29.00/29.26 cnf(matrix-7540, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18305), _u18306)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18307), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18305, tc_fun(_u18307, tc_HOL_Obool)), _u18306), _u18308))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18307), hAPP(_u18308, skolem433(_u18308, _u18307, _u18306, _u18305)))) )).
% 29.00/29.26 cnf(matrix-7541, 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)), _u18311), _u18310) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem434(_u18311, _u18310)), _u18310)) )).
% 29.00/29.26 cnf(matrix-7542, 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)), _u18311), _u18310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18311), skolem434(_u18311, _u18310))) )).
% 29.00/29.26 cnf(matrix-7543, plain, ( ~c_Wellfounded_OwfP(_u18315, hAPP(_u18316, skolem435(_u18317, _u18316, _u18315))) | c_Wellfounded_OwfP(_u18315, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18317, tc_fun(_u18315, tc_fun(_u18315, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u18317, tc_HOL_Obool))), _u18316)) | ( hAPP(_u18316, skolem436(_u18317, _u18316, _u18315)) != hAPP(_u18316, skolem437(_u18317, _u18316, _u18315))) )).
% 29.00/29.26 cnf(matrix-7544, plain, ( ~c_Wellfounded_OwfP(_u18315, hAPP(_u18316, skolem435(_u18317, _u18316, _u18315))) | c_Wellfounded_OwfP(_u18315, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18317, tc_fun(_u18315, tc_fun(_u18315, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u18317, tc_HOL_Obool))), _u18316)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18315, tc_HOL_Obool)), c_Predicate_ODomainP(_u18315, _u18315, hAPP(_u18316, skolem436(_u18317, _u18316, _u18315)))), c_Predicate_ORangeP(_u18315, _u18315, hAPP(_u18316, skolem437(_u18317, _u18316, _u18315)))) != c_Orderings_Obot__class_Obot(tc_fun(_u18315, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7545, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18318, _u18319, _u18320, _u18321) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18318, _u18319), _u18320), _u18321))) )).
% 29.00/29.26 cnf(matrix-7546, plain, ( ( c_List_OdropWhile(_u18323, _u18325, hAPP(hAPP(c_List_Oappend(_u18323), _u18324), _u18326)) = c_List_OdropWhile(_u18323, _u18325, _u18326)) | hBOOL(hAPP(hAPP(c_member(_u18323), skolem438(_u18326, _u18325, _u18324, _u18323)), hAPP(c_List_Oset(_u18323), _u18324))) )).
% 29.00/29.26 cnf(matrix-7547, plain, ( ( c_List_OdropWhile(_u18323, _u18325, hAPP(hAPP(c_List_Oappend(_u18323), _u18324), _u18326)) = c_List_OdropWhile(_u18323, _u18325, _u18326)) | ~hBOOL(hAPP(_u18325, skolem438(_u18326, _u18325, _u18324, _u18323))) )).
% 29.00/29.26 cnf(matrix-7548, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18328)), _u18329) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18331)) | c_List_Olist__all2(_u18328, _u18330, _u18332, _u18329, _u18331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem439(_u18332, _u18331, _u18330, _u18329, _u18328)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18328)), _u18329))) )).
% 29.00/29.26 cnf(matrix-7549, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18328)), _u18329) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18330)), _u18331)) | c_List_Olist__all2(_u18328, _u18330, _u18332, _u18329, _u18331) | ~hBOOL(hAPP(hAPP(_u18332, hAPP(hAPP(c_List_Onth(_u18328), _u18329), skolem439(_u18332, _u18331, _u18330, _u18329, _u18328))), hAPP(hAPP(c_List_Onth(_u18330), _u18331), skolem439(_u18332, _u18331, _u18330, _u18329, _u18328)))) )).
% 29.00/29.26 cnf(matrix-7550, plain, ( hBOOL(hAPP(hAPP(c_member(_u18338), _u18339), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18336, _u18337, tc_fun(_u18338, tc_HOL_Obool)), _u18340), _u18335))) | ( _u18335 = hAPP(hAPP(c_Product__Type_OPair(_u18336, _u18337), skolem440(_u18340, _u18339, _u18338, _u18337, _u18336, _u18335)), skolem441(_u18340, _u18339, _u18338, _u18337, _u18336, _u18335))) )).
% 29.00/29.26 cnf(matrix-7551, plain, ( hBOOL(hAPP(hAPP(c_member(_u18338), _u18339), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18336, _u18337, tc_fun(_u18338, tc_HOL_Obool)), _u18340), _u18335))) | ~hBOOL(hAPP(hAPP(c_member(_u18338), _u18339), hAPP(hAPP(_u18340, skolem440(_u18340, _u18339, _u18338, _u18337, _u18336, _u18335)), skolem441(_u18340, _u18339, _u18338, _u18337, _u18336, _u18335)))) )).
% 29.00/29.26 cnf(matrix-7552, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18343), _u18344), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18345, _u18346, tc_fun(_u18343, tc_HOL_Obool)), _u18347), _u18348))) | ( _u18348 = hAPP(hAPP(c_Product__Type_OPair(_u18345, _u18346), skolem442(_u18348, _u18347, _u18346, _u18345, _u18344, _u18343)), skolem443(_u18348, _u18347, _u18346, _u18345, _u18344, _u18343))) )).
% 29.00/29.26 cnf(matrix-7553, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18343), _u18344), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18345, _u18346, tc_fun(_u18343, tc_HOL_Obool)), _u18347), _u18348))) | hBOOL(hAPP(hAPP(c_member(_u18343), _u18344), hAPP(hAPP(_u18347, skolem442(_u18348, _u18347, _u18346, _u18345, _u18344, _u18343)), skolem443(_u18348, _u18347, _u18346, _u18345, _u18344, _u18343)))) )).
% 29.00/29.26 cnf(matrix-7554, plain, ( ~class_Orderings_Olinorder(_u18351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18351), _u18352)) | ( hAPP(c_List_Oset(_u18351), skolem444(_u18352, _u18351)) = _u18352) )).
% 29.00/29.26 cnf(matrix-7555, plain, ( ~class_Orderings_Olinorder(_u18351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18351), _u18352)) | c_List_Olinorder__class_Osorted(_u18351, skolem444(_u18352, _u18351)) )).
% 29.00/29.26 cnf(matrix-7556, plain, ( ~class_Orderings_Olinorder(_u18351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18351), _u18352)) | hBOOL(hAPP(c_List_Odistinct(_u18351), skolem444(_u18352, _u18351))) )).
% 29.00/29.26 cnf(matrix-7557, plain, ( ~class_Orderings_Olinorder(_u18351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18351), _u18352)) | ( hAPP(c_List_Oset(_u18351), _u18349) != _u18352) | ~c_List_Olinorder__class_Osorted(_u18351, _u18349) | ~hBOOL(hAPP(c_List_Odistinct(_u18351), _u18349)) | ( _u18349 = skolem444(_u18352, _u18351)) )).
% 29.00/29.26 cnf(matrix-7558, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18354, tc_Nat_Onat), _u18355), _u18356) != hAPP(c_Nat_OSuc, _u18357)) | hBOOL(hAPP(hAPP(c_member(_u18354), skolem445(_u18357, _u18356, _u18355, _u18354)), _u18356)) )).
% 29.00/29.26 cnf(matrix-7559, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u18354, tc_Nat_Onat), _u18355), _u18356) != hAPP(c_Nat_OSuc, _u18357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u18355, skolem445(_u18357, _u18356, _u18355, _u18354)))) )).
% 29.00/29.26 cnf(matrix-7560, plain, ( ( c_List_OtakeWhile(_u18359, _u18361, hAPP(hAPP(c_List_Oappend(_u18359), _u18360), _u18362)) = hAPP(hAPP(c_List_Oappend(_u18359), _u18360), c_List_OtakeWhile(_u18359, _u18361, _u18362))) | hBOOL(hAPP(hAPP(c_member(_u18359), skolem446(_u18362, _u18361, _u18360, _u18359)), hAPP(c_List_Oset(_u18359), _u18360))) )).
% 29.00/29.26 cnf(matrix-7561, plain, ( ( c_List_OtakeWhile(_u18359, _u18361, hAPP(hAPP(c_List_Oappend(_u18359), _u18360), _u18362)) = hAPP(hAPP(c_List_Oappend(_u18359), _u18360), c_List_OtakeWhile(_u18359, _u18361, _u18362))) | ~hBOOL(hAPP(_u18361, skolem446(_u18362, _u18361, _u18360, _u18359))) )).
% 29.00/29.26 cnf(matrix-7562, plain, ( ~class_Orderings_Olinorder(_u18364) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18365, _u18364, _u18367), _u18368), _u18366) = hAPP(hAPP(c_List_Olist_OCons(_u18365), _u18368), _u18366)) | hBOOL(hAPP(hAPP(c_member(_u18365), skolem447(_u18368, _u18367, _u18366, _u18365, _u18364)), hAPP(c_List_Oset(_u18365), _u18366))) )).
% 29.00/29.26 cnf(matrix-7563, plain, ( ~class_Orderings_Olinorder(_u18364) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18365, _u18364, _u18367), _u18368), _u18366) = hAPP(hAPP(c_List_Olist_OCons(_u18365), _u18368), _u18366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18364), hAPP(_u18367, _u18368)), hAPP(_u18367, skolem447(_u18368, _u18367, _u18366, _u18365, _u18364)))) )).
% 29.00/29.26 cnf(matrix-7564, plain, ( c_Wellfounded_Owf(_u18370, _u18371) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18370, tc_HOL_Obool)), skolem448(_u18371, _u18370)), hAPP(c_Relation_OImage(_u18370, _u18370, _u18371), skolem448(_u18371, _u18370)))) )).
% 29.00/29.26 cnf(matrix-7565, plain, ( c_Wellfounded_Owf(_u18370, _u18371) | ( skolem448(_u18371, _u18370) != c_Orderings_Obot__class_Obot(tc_fun(_u18370, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7566, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18372, _u18372)), _u18373), c_Transitive__Closure_Ortrancl(_u18372, _u18374))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18372, _u18372)), _u18373), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u18372, _u18372), 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(_u18372, _u18372), tc_HOL_Obool), tc_fun(tc_prod(_u18372, _u18372), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u18372, _u18372), tc_HOL_Obool)), _u18374)))) )).
% 29.00/29.26 cnf(matrix-7567, plain, ( ( hAPP(c_List_Ofilter(_u18386, _u18388), _u18390) != hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), _u18394)) | hBOOL(hAPP(_u18388, _u18392)) )).
% 29.00/29.26 cnf(matrix-7568, plain, ( ( hAPP(c_List_Ofilter(_u18386, _u18388), _u18390) != hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), _u18394)) | ~hBOOL(hAPP(hAPP(c_member(_u18386), _u18375), hAPP(c_List_Oset(_u18386), skolem449(_u18394, _u18392, _u18390, _u18388, _u18386)))) | ~hBOOL(hAPP(_u18388, _u18375)) )).
% 29.00/29.26 cnf(matrix-7569, plain, ( ( hAPP(c_List_Ofilter(_u18386, _u18388), _u18390) != hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), _u18394)) | ( _u18390 = hAPP(hAPP(c_List_Oappend(_u18386), skolem449(_u18394, _u18392, _u18390, _u18388, _u18386)), hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), skolem450(_u18394, _u18392, _u18390, _u18388, _u18386)))) )).
% 29.00/29.26 cnf(matrix-7570, plain, ( ( hAPP(c_List_Ofilter(_u18386, _u18388), _u18390) != hAPP(hAPP(c_List_Olist_OCons(_u18386), _u18392), _u18394)) | ( _u18394 = hAPP(c_List_Ofilter(_u18386, _u18388), skolem450(_u18394, _u18392, _u18390, _u18388, _u18386))) )).
% 29.00/29.26 cnf(matrix-7571, plain, ( ( hAPP(c_List_Ofilter(_u18387, _u18389), _u18391) = hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18393), _u18395)) | ~hBOOL(hAPP(_u18389, _u18393)) | ( _u18391 != hAPP(hAPP(c_List_Oappend(_u18387), _u18380), hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18393), _u18379))) | ( _u18395 != hAPP(c_List_Ofilter(_u18387, _u18389), _u18379)) | hBOOL(hAPP(hAPP(c_member(_u18387), skolem451(_u18395, _u18393, _u18391, _u18389, _u18387, _u18380)), hAPP(c_List_Oset(_u18387), _u18380))) )).
% 29.00/29.26 cnf(matrix-7572, plain, ( ( hAPP(c_List_Ofilter(_u18387, _u18389), _u18391) = hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18393), _u18395)) | ~hBOOL(hAPP(_u18389, _u18393)) | ( _u18391 != hAPP(hAPP(c_List_Oappend(_u18387), _u18380), hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18393), _u18379))) | ( _u18395 != hAPP(c_List_Ofilter(_u18387, _u18389), _u18379)) | hBOOL(hAPP(_u18389, skolem451(_u18395, _u18393, _u18391, _u18389, _u18387, _u18380))) )).
% 29.00/29.26 cnf(matrix-7573, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18396, _u18396)), _u18397), _u18398)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18396, _u18396)), _u18397), c_Transitive__Closure_Ortrancl(_u18396, _u18398))) )).
% 29.00/29.26 cnf(matrix-7574, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18399, _u18399)), hAPP(hAPP(c_Product__Type_OPair(_u18399, _u18399), _u18400), _u18400)), c_Transitive__Closure_Ortrancl(_u18399, _u18401))) )).
% 29.00/29.26 cnf(matrix-7575, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18402), tc_List_Olist(_u18402))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18402), tc_List_Olist(_u18402)), _u18403), _u18403)), c_List_Olistrel(_u18402, c_Transitive__Closure_Ortrancl(_u18402, _u18404)))) )).
% 29.00/29.26 cnf(matrix-7576, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18405, _u18405)), hAPP(hAPP(c_Product__Type_OPair(_u18405, _u18405), _u18406), _u18407)), c_Transitive__Closure_Ortrancl(_u18405, _u18408))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18405, _u18405)), hAPP(hAPP(c_Product__Type_OPair(_u18405, _u18405), _u18407), _u18409)), c_Transitive__Closure_Ortrancl(_u18405, _u18408))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18405, _u18405)), hAPP(hAPP(c_Product__Type_OPair(_u18405, _u18405), _u18406), _u18409)), c_Transitive__Closure_Ortrancl(_u18405, _u18408))) )).
% 29.00/29.26 cnf(matrix-7577, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18410, _u18410)), hAPP(hAPP(c_Product__Type_OPair(_u18410, _u18410), _u18411), _u18412)), c_Transitive__Closure_Ortrancl(_u18410, _u18413))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18410, _u18410)), hAPP(hAPP(c_Product__Type_OPair(_u18410, _u18410), _u18412), _u18414)), _u18413)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18410, _u18410)), hAPP(hAPP(c_Product__Type_OPair(_u18410, _u18410), _u18411), _u18414)), c_Transitive__Closure_Ortrancl(_u18410, _u18413))) )).
% 29.00/29.26 cnf(matrix-7578, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18415, _u18415)), hAPP(hAPP(c_Product__Type_OPair(_u18415, _u18415), _u18416), _u18417)), _u18418)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18415, _u18415)), hAPP(hAPP(c_Product__Type_OPair(_u18415, _u18415), _u18417), _u18419)), c_Transitive__Closure_Ortrancl(_u18415, _u18418))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18415, _u18415)), hAPP(hAPP(c_Product__Type_OPair(_u18415, _u18415), _u18416), _u18419)), c_Transitive__Closure_Ortrancl(_u18415, _u18418))) )).
% 29.00/29.26 cnf(matrix-7579, plain, ( ( c_List_Olistrel(_u18420, c_Transitive__Closure_Ortrancl(_u18420, _u18421)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18420), c_List_Olistrel1(_u18420, _u18421))) )).
% 29.00/29.26 cnf(matrix-7580, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18422, _u18422)), _u18423), c_Transitive__Closure_Ortrancl(_u18422, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18422, _u18422), tc_HOL_Obool)), _u18424), _u18425)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18422, _u18422)), _u18423), c_Transitive__Closure_Ortrancl(_u18422, _u18424))) )).
% 29.00/29.26 cnf(matrix-7581, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18422, _u18422)), _u18423), c_Transitive__Closure_Ortrancl(_u18422, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18422, _u18422), tc_HOL_Obool)), _u18424), _u18425)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18422, _u18422)), _u18423), c_Transitive__Closure_Ortrancl(_u18422, _u18425))) )).
% 29.00/29.26 cnf(matrix-7582, plain, ( ( c_Transitive__Closure_Ortrancl(_u18426, c_Transitive__Closure_Ortrancl(_u18426, _u18427)) = c_Transitive__Closure_Ortrancl(_u18426, _u18427)) )).
% 29.00/29.26 cnf(matrix-7583, plain, ( ( c_Transitive__Closure_Ortrancl(_u18428, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18428, _u18428), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18428, _u18429)), c_Transitive__Closure_Ortrancl(_u18428, _u18430))) = c_Transitive__Closure_Ortrancl(_u18428, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18428, _u18428), tc_HOL_Obool)), _u18429), _u18430))) )).
% 29.00/29.26 cnf(matrix-7584, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u18431, _u18431, _u18431), c_Transitive__Closure_Ortrancl(_u18431, _u18432)), c_Transitive__Closure_Ortrancl(_u18431, _u18432)) = c_Transitive__Closure_Ortrancl(_u18431, _u18432)) )).
% 29.00/29.26 cnf(matrix-7585, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u18433, _u18433, _u18433), _u18434), c_Transitive__Closure_Ortrancl(_u18433, _u18434)) = hAPP(hAPP(c_Relation_Orel__comp(_u18433, _u18433, _u18433), c_Transitive__Closure_Ortrancl(_u18433, _u18434)), _u18434)) )).
% 29.00/29.26 cnf(matrix-7586, plain, ( ( c_Transitive__Closure_Ortrancl(_u18435, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u18435, _u18435), tc_HOL_Obool))) = c_Relation_OId(_u18435)) )).
% 29.00/29.26 cnf(matrix-7587, plain, ( c_Relation_Orefl__on(_u18436, c_Orderings_Otop__class_Otop(tc_fun(_u18436, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18436, _u18437)) )).
% 29.00/29.26 cnf(matrix-7588, plain, ( ( hAPP(c_Relation_ORange(_u18438, _u18438), c_Transitive__Closure_Ortrancl(_u18438, _u18439)) = c_Orderings_Otop__class_Otop(tc_fun(_u18438, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7589, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18440, _u18440), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18440, _u18440), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18440, _u18441)), c_Transitive__Closure_Ortrancl(_u18440, _u18442))), c_Transitive__Closure_Ortrancl(_u18440, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18440, _u18440), tc_HOL_Obool)), _u18441), _u18442)))) )).
% 29.00/29.26 cnf(matrix-7590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18443, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18443, _u18443, _u18444), _u18445)), _u18445)) | ( hAPP(c_Relation_OImage(_u18443, _u18443, c_Transitive__Closure_Ortrancl(_u18443, _u18444)), _u18445) = _u18445) )).
% 29.00/29.26 cnf(matrix-7591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18446, _u18446), tc_HOL_Obool)), _u18447), _u18448)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18446, _u18446), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18446, _u18447)), c_Transitive__Closure_Ortrancl(_u18446, _u18448))) )).
% 29.00/29.26 cnf(matrix-7592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18449, _u18449), tc_HOL_Obool)), _u18450), _u18451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18449, _u18449), tc_HOL_Obool)), _u18451), c_Transitive__Closure_Ortrancl(_u18449, _u18450))) | ( c_Transitive__Closure_Ortrancl(_u18449, _u18451) = c_Transitive__Closure_Ortrancl(_u18449, _u18450)) )).
% 29.00/29.26 cnf(matrix-7593, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18452, _u18452), tc_HOL_Obool)), _u18453), c_Transitive__Closure_Ortrancl(_u18452, _u18454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18452, _u18452), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18452, _u18453)), c_Transitive__Closure_Ortrancl(_u18452, _u18454))) )).
% 29.00/29.26 cnf(matrix-7594, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u18455), tc_List_Olist(_u18455)), tc_HOL_Obool)), c_List_Olistrel1(_u18455, c_Transitive__Closure_Ortrancl(_u18455, _u18456))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18455), c_List_Olistrel1(_u18455, _u18456)))) )).
% 29.00/29.26 cnf(matrix-7595, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18457, _u18457), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18457, _u18458)), c_Relation_OId(_u18457)) = c_Transitive__Closure_Ortrancl(_u18457, _u18458)) )).
% 29.00/29.26 cnf(matrix-7596, plain, ( ( c_Transitive__Closure_Ortrancl(_u18459, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18459, _u18459), tc_HOL_Obool)), _u18460), c_Relation_OId(_u18459))) = c_Transitive__Closure_Ortrancl(_u18459, _u18460)) )).
% 29.00/29.26 cnf(matrix-7597, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18466, _u18466)), _u18468), c_Transitive__Closure_Ortrancl(_u18466, _u18470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18466, _u18466)), _u18468), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18466, _u18466), tc_HOL_Obool), skolem452(_u18470, _u18468, _u18466)), _u18470))) )).
% 29.00/29.26 cnf(matrix-7598, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18467, _u18467)), _u18469), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18467, _u18467), tc_HOL_Obool), _u18462), _u18471))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18467, _u18467)), _u18469), c_Transitive__Closure_Ortrancl(_u18467, _u18471))) )).
% 29.00/29.26 cnf(matrix-7599, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18472, _u18472)), _u18473), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18472, _u18472), tc_HOL_Obool), _u18474), _u18475))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18472, _u18472)), _u18473), c_Transitive__Closure_Ortrancl(_u18472, _u18475))) )).
% 29.00/29.26 cnf(matrix-7600, plain, ( ( c_Transitive__Closure_Ortrancl(_u18476, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u18476, _u18476), tc_HOL_Obool)), _u18477), c_Relation_OId(_u18476))) = c_Transitive__Closure_Ortrancl(_u18476, _u18477)) )).
% 29.00/29.26 cnf(matrix-7601, plain, ( ( hAPP(c_Relation_ODomain(_u18478, _u18478), c_Transitive__Closure_Ortrancl(_u18478, _u18479)) = c_Orderings_Otop__class_Otop(tc_fun(_u18478, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7602, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18480, _u18480)), hAPP(hAPP(c_Product__Type_OPair(_u18480, _u18480), _u18481), _u18482)), c_Transitive__Closure_Ortrancl(_u18480, _u18483))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18480), tc_List_Olist(_u18480))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18480), tc_List_Olist(_u18480)), _u18484), _u18485)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18480), c_List_Olistrel1(_u18480, _u18483)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18480), tc_List_Olist(_u18480))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18480), tc_List_Olist(_u18480)), hAPP(hAPP(c_List_Olist_OCons(_u18480), _u18481), _u18484)), hAPP(hAPP(c_List_Olist_OCons(_u18480), _u18482), _u18485))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18480), c_List_Olistrel1(_u18480, _u18483)))) )).
% 29.00/29.26 cnf(matrix-7603, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18486), tc_List_Olist(_u18486))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), _u18487), _u18488)), c_List_Olistrel(_u18486, c_Transitive__Closure_Ortrancl(_u18486, _u18489)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18486), tc_List_Olist(_u18486))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), _u18488), _u18490)), c_List_Olistrel(_u18486, c_Transitive__Closure_Ortrancl(_u18486, _u18489)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18486), tc_List_Olist(_u18486))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18486), tc_List_Olist(_u18486)), _u18487), _u18490)), c_List_Olistrel(_u18486, c_Transitive__Closure_Ortrancl(_u18486, _u18489)))) )).
% 29.00/29.26 cnf(matrix-7604, plain, ( ( c_Transitive__Closure_Ortrancl(_u18491, _u18492) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18491, _u18491), tc_HOL_Obool)), c_Relation_OId(_u18491)), hAPP(hAPP(c_Relation_Orel__comp(_u18491, _u18491, _u18491), c_Transitive__Closure_Ortrancl(_u18491, _u18492)), _u18492))) )).
% 29.00/29.26 cnf(matrix-7605, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u18493), tc_List_Olist(_u18493)), tc_HOL_Obool)), c_List_Olistrel(_u18493, _u18494)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18493), c_List_Olistrel1(_u18493, _u18494)))) )).
% 29.00/29.26 cnf(matrix-7606, plain, ( hBOOL(hAPP(hAPP(c_member(_u18495), _u18496), hAPP(c_Relation_ODomain(_u18495, _u18495), _u18497))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18495, _u18495)), hAPP(hAPP(c_Product__Type_OPair(_u18495, _u18495), _u18496), _u18498)), c_Transitive__Closure_Ortrancl(_u18495, _u18497))) | ( _u18496 = _u18498) )).
% 29.00/29.26 cnf(matrix-7607, plain, ( hBOOL(hAPP(hAPP(c_member(_u18495), _u18496), hAPP(c_Relation_ODomain(_u18495, _u18495), _u18497))) | ( _u18496 != _u18498) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18495, _u18495)), hAPP(hAPP(c_Product__Type_OPair(_u18495, _u18495), _u18496), _u18498)), c_Transitive__Closure_Ortrancl(_u18495, _u18497))) )).
% 29.00/29.26 cnf(matrix-7608, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18499, _u18499)), hAPP(hAPP(c_Product__Type_OPair(_u18499, _u18499), _u18500), _u18501)), c_Transitive__Closure_Ortrancl(_u18499, _u18502))) | ~hBOOL(hAPP(hAPP(c_member(_u18499), _u18501), c_Wellfounded_Oacc(_u18499, _u18502))) | hBOOL(hAPP(hAPP(c_member(_u18499), _u18500), c_Wellfounded_Oacc(_u18499, _u18502))) )).
% 29.00/29.26 cnf(matrix-7609, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18503), _u18504), c_Wellfounded_Oacc(_u18503, _u18505))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18503, _u18503)), hAPP(hAPP(c_Product__Type_OPair(_u18503, _u18503), _u18506), _u18504)), c_Transitive__Closure_Ortrancl(_u18503, _u18505))) | hBOOL(hAPP(hAPP(c_member(_u18503), _u18506), c_Wellfounded_Oacc(_u18503, _u18505))) )).
% 29.00/29.26 cnf(matrix-7610, plain, ( ~c_Wellfounded_Owf(_u18511, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18511, _u18511)), hAPP(hAPP(c_Product__Type_OPair(_u18511, _u18511), _u18513), _u18515)), _u18517)) | c_Wellfounded_Owf(_u18511, _u18517) )).
% 29.00/29.26 cnf(matrix-7611, plain, ( ~c_Wellfounded_Owf(_u18511, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18511, _u18511)), hAPP(hAPP(c_Product__Type_OPair(_u18511, _u18511), _u18513), _u18515)), _u18517)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18511, _u18511)), hAPP(hAPP(c_Product__Type_OPair(_u18511, _u18511), _u18515), _u18513)), c_Transitive__Closure_Ortrancl(_u18511, _u18517))) )).
% 29.00/29.26 cnf(matrix-7612, plain, ( ~c_Wellfounded_Owf(_u18512, _u18518) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18512, _u18512)), hAPP(hAPP(c_Product__Type_OPair(_u18512, _u18512), _u18516), _u18514)), c_Transitive__Closure_Ortrancl(_u18512, _u18518))) | c_Wellfounded_Owf(_u18512, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18512, _u18512)), hAPP(hAPP(c_Product__Type_OPair(_u18512, _u18512), _u18514), _u18516)), _u18518)) )).
% 29.00/29.26 cnf(matrix-7613, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18519), tc_List_Olist(_u18519))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18519), tc_List_Olist(_u18519)), _u18520), _u18521)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18519), c_List_Olistrel1(_u18519, _u18522)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18519), tc_List_Olist(_u18519))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18519), tc_List_Olist(_u18519)), hAPP(hAPP(c_List_Olist_OCons(_u18519), _u18523), _u18520)), hAPP(hAPP(c_List_Olist_OCons(_u18519), _u18523), _u18521))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18519), c_List_Olistrel1(_u18519, _u18522)))) )).
% 29.00/29.26 cnf(matrix-7614, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18524), tc_List_Olist(_u18524))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18524), tc_List_Olist(_u18524)), _u18525), _u18526)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18524), c_List_Olistrel1(_u18524, _u18527)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18524)), _u18525) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18524)), _u18526)) )).
% 29.00/29.26 cnf(matrix-7615, plain, ( ~c_Wellfounded_Oacyclic(_u18532, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18532, _u18532)), hAPP(hAPP(c_Product__Type_OPair(_u18532, _u18532), _u18534), _u18536)), _u18538)) | c_Wellfounded_Oacyclic(_u18532, _u18538) )).
% 29.00/29.26 cnf(matrix-7616, plain, ( ~c_Wellfounded_Oacyclic(_u18532, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18532, _u18532)), hAPP(hAPP(c_Product__Type_OPair(_u18532, _u18532), _u18534), _u18536)), _u18538)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18532, _u18532)), hAPP(hAPP(c_Product__Type_OPair(_u18532, _u18532), _u18536), _u18534)), c_Transitive__Closure_Ortrancl(_u18532, _u18538))) )).
% 29.00/29.26 cnf(matrix-7617, plain, ( ~c_Wellfounded_Oacyclic(_u18533, _u18539) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18533, _u18533)), hAPP(hAPP(c_Product__Type_OPair(_u18533, _u18533), _u18537), _u18535)), c_Transitive__Closure_Ortrancl(_u18533, _u18539))) | c_Wellfounded_Oacyclic(_u18533, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18533, _u18533)), hAPP(hAPP(c_Product__Type_OPair(_u18533, _u18533), _u18535), _u18537)), _u18539)) )).
% 29.00/29.26 cnf(matrix-7618, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18540), tc_List_Olist(_u18540))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18540), tc_List_Olist(_u18540)), _u18541), _u18542)), c_List_Olistrel1(_u18540, _u18543))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18540), tc_List_Olist(_u18540))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18540), tc_List_Olist(_u18540)), _u18541), _u18542)), c_List_Olistrel(_u18540, c_Transitive__Closure_Ortrancl(_u18540, _u18543)))) )).
% 29.00/29.26 cnf(matrix-7619, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18544), tc_List_Olist(_u18544))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18544), tc_List_Olist(_u18544)), _u18545), _u18546)), c_List_Olistrel(_u18544, _u18547))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18544), tc_List_Olist(_u18544))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18544), tc_List_Olist(_u18544)), _u18545), _u18546)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u18544), c_List_Olistrel1(_u18544, _u18547)))) )).
% 29.00/29.26 cnf(matrix-7620, plain, ( ( c_Transitive__Closure_Ortrancl(_u18548, _u18549) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u18548, _u18548), 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(_u18548, _u18548), tc_HOL_Obool), tc_fun(tc_prod(_u18548, _u18548), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u18548, _u18548), tc_HOL_Obool)), _u18549))) )).
% 29.00/29.26 cnf(matrix-7621, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18550, _u18550), tc_HOL_Obool)), c_Relation_OId(_u18550)), _u18551)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18550, _u18550), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u18550, _u18550, _u18550), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18550, _u18550), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18550, _u18552)), _u18551)), _u18552)), _u18551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18550, _u18550), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u18550, _u18552)), _u18551)) )).
% 29.00/29.26 cnf(matrix-7622, 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), _u18555), _u18557)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18555), _u18557)) )).
% 29.00/29.26 cnf(matrix-7623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18556), _u18558)) | 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), _u18556), _u18558)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 29.00/29.26 cnf(matrix-7624, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18559, _u18559)), hAPP(hAPP(c_Product__Type_OPair(_u18559, _u18559), _u18560), _u18561)), c_Transitive__Closure_Ortrancl(_u18559, _u18562))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18559, _u18559), tc_HOL_Obool)), _u18562), hAPP(hAPP(c_Product__Type_OSigma(_u18559, _u18559), _u18563), hAPP(c_COMBK(tc_fun(_u18559, tc_HOL_Obool), _u18559), _u18563)))) | ( _u18560 = _u18561) | hBOOL(hAPP(hAPP(c_member(_u18559), _u18560), _u18563)) )).
% 29.00/29.26 cnf(matrix-7625, plain, ( ( c_Transitive__Closure_Otrancl(_u18564, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u18564, _u18564)), hAPP(hAPP(c_Product__Type_OPair(_u18564, _u18564), _u18565), _u18566)), _u18567)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18564, _u18567)), hAPP(c_Set_OCollect(tc_prod(_u18564, _u18564)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18564, _u18564, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18564, tc_fun(_u18564, tc_HOL_Obool), tc_fun(_u18564, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u18564, tc_HOL_Obool), tc_fun(_u18564, tc_HOL_Obool)), _u18564), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18564)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18564), c_fconj), hAPP(hAPP(c_COMBC(_u18564, tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u18564, _u18564), tc_fun(tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool), tc_HOL_Obool), _u18564), c_member(tc_prod(_u18564, _u18564))), hAPP(hAPP(c_COMBC(_u18564, _u18564, tc_prod(_u18564, _u18564)), c_Product__Type_OPair(_u18564, _u18564)), _u18565))), c_Transitive__Closure_Ortrancl(_u18564, _u18567))))), hAPP(hAPP(c_COMBC(_u18564, tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u18564, _u18564), tc_fun(tc_fun(tc_prod(_u18564, _u18564), tc_HOL_Obool), tc_HOL_Obool), _u18564), c_member(tc_prod(_u18564, _u18564))), hAPP(c_Product__Type_OPair(_u18564, _u18564), _u18566))), c_Transitive__Closure_Ortrancl(_u18564, _u18567))))))) )).
% 29.00/29.26 cnf(matrix-7626, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18569, _u18569)), hAPP(hAPP(c_Product__Type_OPair(_u18569, _u18569), hAPP(_u18570, hAPP(c_Nat_OSuc, skolem453(_u18573, _u18572, _u18571, _u18570, _u18569)))), hAPP(_u18570, skolem453(_u18573, _u18572, _u18571, _u18570, _u18569)))), c_Transitive__Closure_Ortrancl(_u18569, _u18571))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18569, _u18569)), hAPP(hAPP(c_Product__Type_OPair(_u18569, _u18569), hAPP(_u18570, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18572), _u18573))), hAPP(_u18570, _u18572))), c_Transitive__Closure_Ortrancl(_u18569, _u18571))) )).
% 29.00/29.26 cnf(matrix-7627, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18574, _u18574)), hAPP(hAPP(c_Product__Type_OPair(_u18574, _u18574), _u18575), _u18576)), _u18577)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18574, _u18574)), hAPP(hAPP(c_Product__Type_OPair(_u18574, _u18574), _u18575), _u18576)), c_Transitive__Closure_Otrancl(_u18574, _u18577))) )).
% 29.00/29.26 cnf(matrix-7628, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18578, _u18578)), hAPP(hAPP(c_Product__Type_OPair(_u18578, _u18578), _u18579), _u18580)), c_Transitive__Closure_Otrancl(_u18578, _u18581))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18578, _u18578)), hAPP(hAPP(c_Product__Type_OPair(_u18578, _u18578), _u18579), _u18580)), c_Transitive__Closure_Ortrancl(_u18578, _u18581))) )).
% 29.00/29.26 cnf(matrix-7629, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18586, _u18586)), hAPP(hAPP(c_Product__Type_OPair(_u18586, _u18586), _u18588), _u18590)), c_Transitive__Closure_Ortrancl(_u18586, _u18592))) | ( _u18588 = _u18590) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18586, _u18586)), hAPP(hAPP(c_Product__Type_OPair(_u18586, _u18586), _u18588), _u18590)), c_Transitive__Closure_Otrancl(_u18586, _u18592))) )).
% 29.00/29.26 cnf(matrix-7630, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18587, _u18587)), hAPP(hAPP(c_Product__Type_OPair(_u18587, _u18587), _u18589), _u18591)), c_Transitive__Closure_Ortrancl(_u18587, _u18593))) | ( _u18589 != _u18591) )).
% 29.00/29.26 cnf(matrix-7631, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18587, _u18587)), hAPP(hAPP(c_Product__Type_OPair(_u18587, _u18587), _u18589), _u18591)), c_Transitive__Closure_Ortrancl(_u18587, _u18593))) | ( _u18589 = _u18591) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18587, _u18587)), hAPP(hAPP(c_Product__Type_OPair(_u18587, _u18587), _u18589), _u18591)), c_Transitive__Closure_Otrancl(_u18587, _u18593))) )).
% 29.00/29.26 cnf(matrix-7632, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18594, _u18594)), hAPP(hAPP(c_Product__Type_OPair(_u18594, _u18594), _u18595), _u18596)), _u18597)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18594, _u18594)), hAPP(hAPP(c_Product__Type_OPair(_u18594, _u18594), _u18596), _u18598)), c_Transitive__Closure_Ortrancl(_u18594, _u18597))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18594, _u18594)), hAPP(hAPP(c_Product__Type_OPair(_u18594, _u18594), _u18595), _u18598)), c_Transitive__Closure_Otrancl(_u18594, _u18597))) )).
% 29.00/29.26 cnf(matrix-7633, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18599, _u18599)), hAPP(hAPP(c_Product__Type_OPair(_u18599, _u18599), _u18600), _u18601)), c_Transitive__Closure_Ortrancl(_u18599, _u18602))) | ( _u18600 = _u18601) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18599, _u18599)), hAPP(hAPP(c_Product__Type_OPair(_u18599, _u18599), _u18600), _u18601)), c_Transitive__Closure_Otrancl(_u18599, _u18602))) )).
% 29.00/29.26 cnf(matrix-7634, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18603, _u18603)), hAPP(hAPP(c_Product__Type_OPair(_u18603, _u18603), _u18604), _u18605)), c_Transitive__Closure_Ortrancl(_u18603, _u18606))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18603, _u18603)), hAPP(hAPP(c_Product__Type_OPair(_u18603, _u18603), _u18605), _u18607)), _u18606)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18603, _u18603)), hAPP(hAPP(c_Product__Type_OPair(_u18603, _u18603), _u18604), _u18607)), c_Transitive__Closure_Otrancl(_u18603, _u18606))) )).
% 29.00/29.26 cnf(matrix-7635, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18608, _u18608)), hAPP(hAPP(c_Product__Type_OPair(_u18608, _u18608), _u18609), _u18610)), c_Transitive__Closure_Otrancl(_u18608, _u18611))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18608, _u18608)), hAPP(hAPP(c_Product__Type_OPair(_u18608, _u18608), _u18610), _u18612)), c_Transitive__Closure_Ortrancl(_u18608, _u18611))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18608, _u18608)), hAPP(hAPP(c_Product__Type_OPair(_u18608, _u18608), _u18609), _u18612)), c_Transitive__Closure_Otrancl(_u18608, _u18611))) )).
% 29.00/29.26 cnf(matrix-7636, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18613, _u18613)), hAPP(hAPP(c_Product__Type_OPair(_u18613, _u18613), _u18614), _u18615)), c_Transitive__Closure_Ortrancl(_u18613, _u18616))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18613, _u18613)), hAPP(hAPP(c_Product__Type_OPair(_u18613, _u18613), _u18615), _u18617)), c_Transitive__Closure_Otrancl(_u18613, _u18616))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18613, _u18613)), hAPP(hAPP(c_Product__Type_OPair(_u18613, _u18613), _u18614), _u18617)), c_Transitive__Closure_Otrancl(_u18613, _u18616))) )).
% 29.00/29.26 cnf(matrix-7637, plain, ( ( c_Transitive__Closure_Ortrancl(_u18618, c_Transitive__Closure_Otrancl(_u18618, _u18619)) = c_Transitive__Closure_Ortrancl(_u18618, _u18619)) )).
% 29.00/29.26 cnf(matrix-7638, plain, ( ( c_Transitive__Closure_Otrancl(_u18620, c_Transitive__Closure_Ortrancl(_u18620, _u18621)) = c_Transitive__Closure_Ortrancl(_u18620, _u18621)) )).
% 29.00/29.26 cnf(matrix-7639, plain, ( ( c_Transitive__Closure_Otrancl(_u18622, _u18623) = hAPP(hAPP(c_Relation_Orel__comp(_u18622, _u18622, _u18622), c_Transitive__Closure_Ortrancl(_u18622, _u18623)), _u18623)) )).
% 29.00/29.26 cnf(matrix-7640, plain, ( ( c_Transitive__Closure_Otrancl(_u18624, _u18625) = hAPP(hAPP(c_Relation_Orel__comp(_u18624, _u18624, _u18624), _u18625), c_Transitive__Closure_Ortrancl(_u18624, _u18625))) )).
% 29.00/29.26 cnf(matrix-7641, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 29.00/29.26 cnf(matrix-7642, plain, ( ( hAPP(c_Relation_ODomain(_u18626, _u18626), c_Transitive__Closure_Otrancl(_u18626, _u18627)) = hAPP(c_Relation_ODomain(_u18626, _u18626), _u18627)) )).
% 29.00/29.26 cnf(matrix-7643, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18628, _u18628)), _u18629), c_Transitive__Closure_Otrancl(_u18628, _u18630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18628, _u18628), tc_HOL_Obool)), _u18630), _u18631)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18628, _u18628)), _u18629), c_Transitive__Closure_Otrancl(_u18628, _u18631))) )).
% 29.00/29.26 cnf(matrix-7644, plain, ( ( c_Transitive__Closure_Otrancl(_u18632, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u18632, _u18632), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u18632, _u18632), tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7645, plain, ( ( hAPP(c_Relation_ORange(_u18633, _u18633), c_Transitive__Closure_Otrancl(_u18633, _u18634)) = hAPP(c_Relation_ORange(_u18633, _u18633), _u18634)) )).
% 29.00/29.26 cnf(matrix-7646, plain, ( ~c_Wellfounded_Owf(_u18635, _u18636) | c_Wellfounded_Owf(_u18635, c_Transitive__Closure_Otrancl(_u18635, _u18636)) )).
% 29.00/29.26 cnf(matrix-7647, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18637, _u18637)), _u18638), _u18639)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18637, _u18637)), _u18638), c_Transitive__Closure_Otrancl(_u18637, _u18639))) )).
% 29.00/29.26 cnf(matrix-7648, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18642, _u18642)), c_Transitive__Closure_Otrancl(_u18642, _u18644))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18642, _u18642)), _u18644)) )).
% 29.00/29.26 cnf(matrix-7649, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18643, _u18643)), _u18645)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18643, _u18643)), c_Transitive__Closure_Otrancl(_u18643, _u18645))) )).
% 29.00/29.26 cnf(matrix-7650, plain, ( ( c_Transitive__Closure_Otrancl(_u18646, _u18647) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18646, _u18646), tc_HOL_Obool)), _u18647), hAPP(hAPP(c_Relation_Orel__comp(_u18646, _u18646, _u18646), c_Transitive__Closure_Otrancl(_u18646, _u18647)), _u18647))) )).
% 29.00/29.26 cnf(matrix-7651, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18648, _u18648)), hAPP(hAPP(c_Product__Type_OPair(_u18648, _u18648), _u18649), _u18650)), _u18651)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18648, _u18648)), hAPP(hAPP(c_Product__Type_OPair(_u18648, _u18648), _u18650), _u18652)), _u18651)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18648, _u18648)), hAPP(hAPP(c_Product__Type_OPair(_u18648, _u18648), _u18649), _u18652)), c_Transitive__Closure_Otrancl(_u18648, _u18651))) )).
% 29.00/29.26 cnf(matrix-7652, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18653, _u18653)), hAPP(hAPP(c_Product__Type_OPair(_u18653, _u18653), _u18654), _u18655)), _u18656)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18653, _u18653)), hAPP(hAPP(c_Product__Type_OPair(_u18653, _u18653), _u18655), _u18657)), c_Transitive__Closure_Otrancl(_u18653, _u18656))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18653, _u18653)), hAPP(hAPP(c_Product__Type_OPair(_u18653, _u18653), _u18654), _u18657)), c_Transitive__Closure_Otrancl(_u18653, _u18656))) )).
% 29.00/29.26 cnf(matrix-7653, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18658, _u18658)), hAPP(hAPP(c_Product__Type_OPair(_u18658, _u18658), _u18659), _u18660)), c_Transitive__Closure_Otrancl(_u18658, _u18661))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18658, _u18658)), hAPP(hAPP(c_Product__Type_OPair(_u18658, _u18658), _u18660), _u18662)), _u18661)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18658, _u18658)), hAPP(hAPP(c_Product__Type_OPair(_u18658, _u18658), _u18659), _u18662)), c_Transitive__Closure_Otrancl(_u18658, _u18661))) )).
% 29.00/29.26 cnf(matrix-7654, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18663, _u18663)), hAPP(hAPP(c_Product__Type_OPair(_u18663, _u18663), _u18664), _u18665)), c_Transitive__Closure_Otrancl(_u18663, _u18666))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18663, _u18663)), hAPP(hAPP(c_Product__Type_OPair(_u18663, _u18663), _u18665), _u18667)), c_Transitive__Closure_Otrancl(_u18663, _u18666))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18663, _u18663)), hAPP(hAPP(c_Product__Type_OPair(_u18663, _u18663), _u18664), _u18667)), c_Transitive__Closure_Otrancl(_u18663, _u18666))) )).
% 29.00/29.26 cnf(matrix-7655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18668, _u18668), tc_HOL_Obool)), _u18669), hAPP(hAPP(c_Product__Type_OSigma(_u18668, _u18668), _u18670), hAPP(c_COMBK(tc_fun(_u18668, tc_HOL_Obool), _u18668), _u18670)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18668, _u18668), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18668, _u18669)), hAPP(hAPP(c_Product__Type_OSigma(_u18668, _u18668), _u18670), hAPP(c_COMBK(tc_fun(_u18668, tc_HOL_Obool), _u18668), _u18670)))) )).
% 29.00/29.26 cnf(matrix-7656, plain, ( ~c_Wellfounded_Oacyclic(_u18675, _u18677) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18675, _u18675)), hAPP(hAPP(c_Product__Type_OPair(_u18675, _u18675), _u18671), _u18671)), c_Transitive__Closure_Otrancl(_u18675, _u18677))) )).
% 29.00/29.26 cnf(matrix-7657, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18676, _u18676)), hAPP(hAPP(c_Product__Type_OPair(_u18676, _u18676), skolem454(_u18678, _u18676)), skolem454(_u18678, _u18676))), c_Transitive__Closure_Otrancl(_u18676, _u18678))) | c_Wellfounded_Oacyclic(_u18676, _u18678) )).
% 29.00/29.26 cnf(matrix-7658, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18679, _u18679), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18679, _u18680)), c_Relation_OId(_u18679)) = c_Transitive__Closure_Ortrancl(_u18679, _u18680)) )).
% 29.00/29.26 cnf(matrix-7659, plain, ( ( c_Transitive__Closure_Otrancl(_u18681, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18681, _u18681), tc_HOL_Obool)), _u18682), c_Relation_OId(_u18681))) = c_Transitive__Closure_Ortrancl(_u18681, _u18682)) )).
% 29.00/29.26 cnf(matrix-7660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18683, _u18683), tc_HOL_Obool)), _u18684), _u18685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18683, _u18683), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u18683, _u18683, _u18683), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18683, _u18683), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18683, _u18684)), _u18685)), _u18684)), _u18685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18683, _u18683), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18683, _u18684)), _u18685)) )).
% 29.00/29.26 cnf(matrix-7661, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18686, _u18686), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u18686, _u18687)), hAPP(hAPP(c_Product__Type_OSigma(_u18686, _u18686), hAPP(c_Relation_OField(_u18686), _u18687)), hAPP(c_COMBK(tc_fun(_u18686, tc_HOL_Obool), _u18686), hAPP(c_Relation_OField(_u18686), _u18687))))) )).
% 29.00/29.26 cnf(matrix-7662, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18693, _u18693)), _u18695), c_Transitive__Closure_Otrancl(_u18693, _u18697))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem455(_u18697, _u18695, _u18693))) )).
% 29.00/29.26 cnf(matrix-7663, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18693, _u18693)), _u18695), c_Transitive__Closure_Otrancl(_u18693, _u18697))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18693, _u18693)), _u18695), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18693, _u18693), tc_HOL_Obool), skolem455(_u18697, _u18695, _u18693)), _u18697))) )).
% 29.00/29.26 cnf(matrix-7664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u18689)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18694, _u18694)), _u18696), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18694, _u18694), tc_HOL_Obool), _u18689), _u18698))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18694, _u18694)), _u18696), c_Transitive__Closure_Otrancl(_u18694, _u18698))) )).
% 29.00/29.26 cnf(matrix-7665, 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), _u18701), _u18703)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18701), _u18703)) )).
% 29.00/29.26 cnf(matrix-7666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18702), _u18704)) | 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), _u18702), _u18704)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 29.00/29.26 cnf(matrix-7667, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18705, _u18705), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u18705, _u18705), _u18706)), c_Transitive__Closure_Ortrancl(_u18705, _u18706)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u18705, _u18705), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18705, _u18705)), hAPP(hAPP(c_Product__Type_OPair(_u18705, _u18705), _u18707), _u18707)), c_Transitive__Closure_Otrancl(_u18705, _u18706))) )).
% 29.00/29.26 cnf(matrix-7668, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18709, _u18709)), hAPP(hAPP(c_Product__Type_OPair(_u18709, _u18709), skolem456(_u18710, _u18709)), skolem456(_u18710, _u18709))), c_Transitive__Closure_Otrancl(_u18709, _u18710))) | c_Wellfounded_Oacyclic(_u18709, _u18710) )).
% 29.00/29.26 cnf(matrix-7669, plain, ( ( c_Transitive__Closure_Ortrancl(_u18711, hAPP(c_Relation_Oconverse(_u18711, _u18711), _u18712)) = hAPP(c_Relation_Oconverse(_u18711, _u18711), c_Transitive__Closure_Ortrancl(_u18711, _u18712))) )).
% 29.00/29.26 cnf(matrix-7670, plain, ( ( c_Transitive__Closure_Otrancl(_u18713, hAPP(c_Relation_Oconverse(_u18713, _u18713), _u18714)) = hAPP(c_Relation_Oconverse(_u18713, _u18713), c_Transitive__Closure_Otrancl(_u18713, _u18714))) )).
% 29.00/29.26 cnf(matrix-7671, plain, ( ~c_Wellfounded_Owf(_u18715, hAPP(c_Relation_Oconverse(_u18715, _u18715), _u18716)) | c_Wellfounded_Owf(_u18715, hAPP(c_Relation_Oconverse(_u18715, _u18715), c_Transitive__Closure_Otrancl(_u18715, _u18716))) )).
% 29.00/29.26 cnf(matrix-7672, plain, ( ~c_Wellfounded_Oacyclic(_u18719, hAPP(c_Relation_Oconverse(_u18719, _u18719), _u18721)) | c_Wellfounded_Oacyclic(_u18719, _u18721) )).
% 29.00/29.26 cnf(matrix-7673, plain, ( ~c_Wellfounded_Oacyclic(_u18720, _u18722) | c_Wellfounded_Oacyclic(_u18720, hAPP(c_Relation_Oconverse(_u18720, _u18720), _u18722)) )).
% 29.00/29.26 cnf(matrix-7674, plain, ( ( hAPP(c_Relation_Oconverse(_u18723, _u18723), hAPP(hAPP(c_Relation_Oinv__image(_u18724, _u18723), _u18725), _u18726)) = hAPP(hAPP(c_Relation_Oinv__image(_u18724, _u18723), hAPP(c_Relation_Oconverse(_u18724, _u18724), _u18725)), _u18726)) )).
% 29.00/29.26 cnf(matrix-7675, plain, ( ( hAPP(c_Relation_Oconverse(_u18727, _u18728), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18729, tc_fun(tc_prod(_u18727, _u18728), tc_HOL_Obool)), _u18730), _u18731)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18729, tc_fun(tc_prod(_u18728, _u18727), tc_HOL_Obool)), _u18730), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18727, _u18728), tc_HOL_Obool), tc_fun(tc_prod(_u18728, _u18727), tc_HOL_Obool), _u18729), c_Relation_Oconverse(_u18727, _u18728)), _u18731))) )).
% 29.00/29.26 cnf(matrix-7676, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18732, _u18733)), hAPP(hAPP(c_Product__Type_OPair(_u18732, _u18733), _u18734), _u18735)), hAPP(c_Relation_Oconverse(_u18733, _u18732), _u18736))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18733, _u18732)), hAPP(hAPP(c_Product__Type_OPair(_u18733, _u18732), _u18735), _u18734)), _u18736)) )).
% 29.00/29.26 cnf(matrix-7677, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18737, _u18738)), hAPP(hAPP(c_Product__Type_OPair(_u18737, _u18738), _u18739), _u18740)), _u18741)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18738, _u18737)), hAPP(hAPP(c_Product__Type_OPair(_u18738, _u18737), _u18740), _u18739)), hAPP(c_Relation_Oconverse(_u18737, _u18738), _u18741))) )).
% 29.00/29.26 cnf(matrix-7678, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18747, _u18749)), hAPP(hAPP(c_Product__Type_OPair(_u18747, _u18749), _u18751), _u18753)), hAPP(c_Relation_Oconverse(_u18749, _u18747), _u18755))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18749, _u18747)), hAPP(hAPP(c_Product__Type_OPair(_u18749, _u18747), _u18753), _u18751)), _u18755)) )).
% 29.00/29.26 cnf(matrix-7679, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18750, _u18748)), hAPP(hAPP(c_Product__Type_OPair(_u18750, _u18748), _u18754), _u18752)), _u18756)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18748, _u18750)), hAPP(hAPP(c_Product__Type_OPair(_u18748, _u18750), _u18752), _u18754)), hAPP(c_Relation_Oconverse(_u18750, _u18748), _u18756))) )).
% 29.00/29.26 cnf(matrix-7680, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18761), tc_List_Olist(_u18761))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18761), tc_List_Olist(_u18761)), _u18763), _u18765)), c_List_Olistrel1(_u18761, hAPP(c_Relation_Oconverse(_u18761, _u18761), _u18767)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18761), tc_List_Olist(_u18761))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18761), tc_List_Olist(_u18761)), _u18763), _u18765)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u18761), tc_List_Olist(_u18761)), c_List_Olistrel1(_u18761, _u18767)))) )).
% 29.00/29.26 cnf(matrix-7681, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18762), tc_List_Olist(_u18762))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18762), tc_List_Olist(_u18762)), _u18764), _u18766)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u18762), tc_List_Olist(_u18762)), c_List_Olistrel1(_u18762, _u18768)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18762), tc_List_Olist(_u18762))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18762), tc_List_Olist(_u18762)), _u18764), _u18766)), c_List_Olistrel1(_u18762, hAPP(c_Relation_Oconverse(_u18762, _u18762), _u18768)))) )).
% 29.00/29.26 cnf(matrix-7682, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18772, _u18774)), hAPP(c_Relation_Oconverse(_u18774, _u18772), _u18776))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18774, _u18772)), _u18776)) )).
% 29.00/29.26 cnf(matrix-7683, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18775, _u18773)), _u18777)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18773, _u18775)), hAPP(c_Relation_Oconverse(_u18775, _u18773), _u18777))) )).
% 29.00/29.26 cnf(matrix-7684, plain, ( ~c_Relation_Ototal__on(_u18781, _u18783, hAPP(c_Relation_Oconverse(_u18781, _u18781), _u18785)) | c_Relation_Ototal__on(_u18781, _u18783, _u18785) )).
% 29.00/29.26 cnf(matrix-7685, plain, ( ~c_Relation_Ototal__on(_u18782, _u18784, _u18786) | c_Relation_Ototal__on(_u18782, _u18784, hAPP(c_Relation_Oconverse(_u18782, _u18782), _u18786)) )).
% 29.00/29.26 cnf(matrix-7686, plain, ( ( hAPP(c_Relation_Oconverse(_u18787, _u18787), c_Relation_OId__on(_u18787, _u18788)) = c_Relation_OId__on(_u18787, _u18788)) )).
% 29.00/29.26 cnf(matrix-7687, plain, ( ( hAPP(c_Relation_Oconverse(_u18789, _u18790), hAPP(c_Relation_Oconverse(_u18790, _u18789), _u18791)) = _u18791) )).
% 29.00/29.26 cnf(matrix-7688, plain, ( ( hAPP(c_Relation_Oconverse(_u18792, _u18792), c_Relation_OId(_u18792)) = c_Relation_OId(_u18792)) )).
% 29.00/29.26 cnf(matrix-7689, plain, ( ( hAPP(c_Relation_OField(_u18793), hAPP(c_Relation_Oconverse(_u18793, _u18793), _u18794)) = hAPP(c_Relation_OField(_u18793), _u18794)) )).
% 29.00/29.26 cnf(matrix-7690, plain, ( ( hAPP(c_Relation_Oconverse(_u18795, _u18796), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18795, _u18796), tc_HOL_Obool)), _u18797), _u18798)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18796, _u18795), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u18795, _u18796), _u18797)), hAPP(c_Relation_Oconverse(_u18795, _u18796), _u18798))) )).
% 29.00/29.26 cnf(matrix-7691, plain, ( ( hAPP(c_Relation_Oconverse(_u18799, _u18800), hAPP(hAPP(c_Relation_Orel__comp(_u18799, _u18801, _u18800), _u18802), _u18803)) = hAPP(hAPP(c_Relation_Orel__comp(_u18800, _u18801, _u18799), hAPP(c_Relation_Oconverse(_u18801, _u18800), _u18803)), hAPP(c_Relation_Oconverse(_u18799, _u18801), _u18802))) )).
% 29.00/29.26 cnf(matrix-7692, plain, ( ( c_List_Olistrel1(_u18804, hAPP(c_Relation_Oconverse(_u18804, _u18804), _u18805)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u18804), tc_List_Olist(_u18804)), c_List_Olistrel1(_u18804, _u18805))) )).
% 29.00/29.26 cnf(matrix-7693, plain, ( ~c_Relation_Orefl__on(_u18809, _u18811, hAPP(c_Relation_Oconverse(_u18809, _u18809), _u18813)) | c_Relation_Orefl__on(_u18809, _u18811, _u18813) )).
% 29.00/29.26 cnf(matrix-7694, plain, ( ~c_Relation_Orefl__on(_u18810, _u18812, _u18814) | c_Relation_Orefl__on(_u18810, _u18812, hAPP(c_Relation_Oconverse(_u18810, _u18810), _u18814)) )).
% 29.00/29.26 cnf(matrix-7695, plain, ( ~c_Equiv__Relations_Oequiv(_u18815, _u18816, _u18817) | ( hAPP(hAPP(c_Relation_Orel__comp(_u18815, _u18815, _u18815), hAPP(c_Relation_Oconverse(_u18815, _u18815), _u18817)), _u18817) = _u18817) )).
% 29.00/29.26 cnf(matrix-7696, plain, ( ( hAPP(c_Relation_Oconverse(_u18818, _u18819), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18818, _u18819), tc_HOL_Obool)), _u18820), _u18821)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u18819, _u18818), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u18818, _u18819), _u18820)), hAPP(c_Relation_Oconverse(_u18818, _u18819), _u18821))) )).
% 29.00/29.26 cnf(matrix-7697, plain, ( ( hAPP(c_Relation_ORange(_u18822, _u18823), _u18824) = hAPP(c_Relation_ODomain(_u18823, _u18822), hAPP(c_Relation_Oconverse(_u18822, _u18823), _u18824))) )).
% 29.00/29.26 cnf(matrix-7698, plain, ( ( hAPP(c_Relation_ODomain(_u18825, _u18826), hAPP(c_Relation_Oconverse(_u18826, _u18825), _u18827)) = hAPP(c_Relation_ORange(_u18826, _u18825), _u18827)) )).
% 29.00/29.26 cnf(matrix-7699, plain, ( ( hAPP(c_Relation_ORange(_u18828, _u18829), hAPP(c_Relation_Oconverse(_u18829, _u18828), _u18830)) = hAPP(c_Relation_ODomain(_u18829, _u18828), _u18830)) )).
% 29.00/29.26 cnf(matrix-7700, plain, ( ( hAPP(c_Relation_Oconverse(_u18831, _u18832), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18833, tc_fun(tc_prod(_u18831, _u18832), tc_HOL_Obool)), _u18834), _u18835)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18833, tc_fun(tc_prod(_u18832, _u18831), tc_HOL_Obool)), _u18834), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18831, _u18832), tc_HOL_Obool), tc_fun(tc_prod(_u18832, _u18831), tc_HOL_Obool), _u18833), c_Relation_Oconverse(_u18831, _u18832)), _u18835))) )).
% 29.00/29.26 cnf(matrix-7701, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18836, _u18836)), hAPP(hAPP(c_Product__Type_OPair(_u18836, _u18836), _u18837), _u18838)), c_Transitive__Closure_Ortrancl(_u18836, _u18839))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18836, _u18836)), hAPP(hAPP(c_Product__Type_OPair(_u18836, _u18836), _u18838), _u18837)), c_Transitive__Closure_Ortrancl(_u18836, hAPP(c_Relation_Oconverse(_u18836, _u18836), _u18839)))) )).
% 29.00/29.26 cnf(matrix-7702, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18840, _u18840)), hAPP(hAPP(c_Product__Type_OPair(_u18840, _u18840), _u18841), _u18842)), c_Transitive__Closure_Ortrancl(_u18840, hAPP(c_Relation_Oconverse(_u18840, _u18840), _u18843)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18840, _u18840)), hAPP(hAPP(c_Product__Type_OPair(_u18840, _u18840), _u18842), _u18841)), c_Transitive__Closure_Ortrancl(_u18840, _u18843))) )).
% 29.00/29.26 cnf(matrix-7703, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18844, _u18844)), hAPP(hAPP(c_Product__Type_OPair(_u18844, _u18844), _u18845), _u18846)), hAPP(c_Relation_Oconverse(_u18844, _u18844), c_Transitive__Closure_Otrancl(_u18844, _u18847)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18844, _u18844)), hAPP(hAPP(c_Product__Type_OPair(_u18844, _u18844), _u18845), _u18846)), c_Transitive__Closure_Otrancl(_u18844, hAPP(c_Relation_Oconverse(_u18844, _u18844), _u18847)))) )).
% 29.00/29.26 cnf(matrix-7704, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18848, _u18848)), hAPP(hAPP(c_Product__Type_OPair(_u18848, _u18848), _u18849), _u18850)), c_Transitive__Closure_Otrancl(_u18848, hAPP(c_Relation_Oconverse(_u18848, _u18848), _u18851)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18848, _u18848)), hAPP(hAPP(c_Product__Type_OPair(_u18848, _u18848), _u18849), _u18850)), hAPP(c_Relation_Oconverse(_u18848, _u18848), c_Transitive__Closure_Otrancl(_u18848, _u18851)))) )).
% 29.00/29.26 cnf(matrix-7705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18857, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18859, _u18857, _u18861), _u18863)), _u18865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18859, tc_HOL_Obool)), _u18863), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18859, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18857, _u18859, hAPP(c_Relation_Oconverse(_u18859, _u18857), _u18861)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18857, tc_HOL_Obool)), _u18865))))) )).
% 29.00/29.26 cnf(matrix-7706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18860, tc_HOL_Obool)), _u18864), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18860, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18858, _u18860, hAPP(c_Relation_Oconverse(_u18860, _u18858), _u18862)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18858, tc_HOL_Obool)), _u18866))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18858, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18860, _u18858, _u18862), _u18864)), _u18866)) )).
% 29.00/29.26 cnf(matrix-7707, plain, ( ~c_Relation_Orefl__on(_u18867, _u18868, _u18869) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18867, _u18867), tc_HOL_Obool)), _u18869), hAPP(hAPP(c_Relation_Orel__comp(_u18867, _u18867, _u18867), hAPP(c_Relation_Oconverse(_u18867, _u18867), _u18869)), _u18869))) )).
% 29.00/29.26 cnf(matrix-7708, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u18870, _u18870, _u18870), hAPP(c_Relation_Oconverse(_u18870, _u18870), _u18871)), _u18871) != _u18871) | ( hAPP(c_Relation_ODomain(_u18870, _u18870), _u18871) != _u18872) | c_Equiv__Relations_Oequiv(_u18870, _u18872, _u18871) )).
% 29.00/29.26 cnf(matrix-7709, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u18873, _u18873)), _u18874)) | ~c_Wellfounded_Oacyclic(_u18873, _u18874) | c_Wellfounded_Owf(_u18873, hAPP(c_Relation_Oconverse(_u18873, _u18873), _u18874)) )).
% 29.00/29.26 cnf(matrix-7710, plain, ( ( hAPP(c_Relation_Oconverse(_u18875, _u18876), _u18877) = hAPP(c_Set_OCollect(tc_prod(_u18876, _u18875)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18876, _u18875, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u18876, tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_fun(_u18875, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18875, tc_fun(tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_fun(_u18875, tc_HOL_Obool)), _u18876), c_COMBC(_u18875, tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18875, tc_prod(_u18875, _u18876)), tc_fun(_u18875, tc_fun(tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_HOL_Obool)), _u18876), hAPP(c_COMBB(tc_prod(_u18875, _u18876), tc_fun(tc_fun(tc_prod(_u18875, _u18876), tc_HOL_Obool), tc_HOL_Obool), _u18875), c_member(tc_prod(_u18875, _u18876)))), hAPP(c_COMBC(_u18875, _u18876, tc_prod(_u18875, _u18876)), c_Product__Type_OPair(_u18875, _u18876))))), _u18877)))) )).
% 29.00/29.26 cnf(matrix-7711, plain, ( ~c_Relation_Osingle__valued(_u18878, _u18879, hAPP(c_Relation_Oconverse(_u18879, _u18878), _u18880)) | ( _u18881 = c_Orderings_Obot__class_Obot(tc_fun(_u18882, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u18879, _u18878, _u18880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18882, tc_fun(_u18879, tc_HOL_Obool)), _u18881), _u18883)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18882, tc_fun(_u18878, tc_HOL_Obool)), _u18881), hAPP(hAPP(c_COMBB(tc_fun(_u18879, tc_HOL_Obool), tc_fun(_u18878, tc_HOL_Obool), _u18882), c_Relation_OImage(_u18879, _u18878, _u18880)), _u18883))) )).
% 29.00/29.26 cnf(matrix-7712, plain, ( ~c_Relation_Osingle__valued(_u18884, _u18885, hAPP(c_Relation_Oconverse(_u18885, _u18884), _u18886)) | ( hAPP(c_Relation_OImage(_u18885, _u18884, _u18886), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18885, tc_HOL_Obool)), _u18887), _u18888)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18884, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18885, _u18884, _u18886), _u18887)), hAPP(c_Relation_OImage(_u18885, _u18884, _u18886), _u18888))) )).
% 29.00/29.26 cnf(matrix-7713, plain, ( ~c_Relation_Osingle__valued(_u18889, _u18889, _u18890) | c_Relation_Osingle__valued(_u18889, _u18889, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18889, _u18889), tc_HOL_Obool), _u18891), _u18890)) )).
% 29.00/29.26 cnf(matrix-7714, plain, ( c_Relation_Osingle__valued(_u18892, _u18892, c_Relation_OId__on(_u18892, _u18893)) )).
% 29.00/29.26 cnf(matrix-7715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18894, _u18895), tc_HOL_Obool)), _u18896), _u18897)) | ~c_Relation_Osingle__valued(_u18894, _u18895, _u18897) | c_Relation_Osingle__valued(_u18894, _u18895, _u18896) )).
% 29.00/29.26 cnf(matrix-7716, plain, ( ~c_Relation_Osingle__valued(_u18898, _u18899, _u18900) | ~c_Relation_Osingle__valued(_u18899, _u18901, _u18902) | c_Relation_Osingle__valued(_u18898, _u18901, hAPP(hAPP(c_Relation_Orel__comp(_u18898, _u18899, _u18901), _u18900), _u18902)) )).
% 29.00/29.26 cnf(matrix-7717, plain, ( c_Relation_Osingle__valued(_u18903, _u18903, c_Relation_OId(_u18903)) )).
% 29.00/29.26 cnf(matrix-7718, plain, ( ~c_Relation_Osingle__valued(_u18904, _u18905, _u18906) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18904, _u18905)), hAPP(hAPP(c_Product__Type_OPair(_u18904, _u18905), _u18907), _u18908)), _u18906)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18904, _u18905)), hAPP(hAPP(c_Product__Type_OPair(_u18904, _u18905), _u18907), _u18909)), _u18906)) | ( _u18908 = _u18909) )).
% 29.00/29.26 cnf(matrix-7719, plain, ( ~c_Relation_Osingle__valued(_u18919, _u18921, _u18923) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18919, _u18921)), hAPP(hAPP(c_Product__Type_OPair(_u18919, _u18921), _u18912), _u18911)), _u18923)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18919, _u18921)), hAPP(hAPP(c_Product__Type_OPair(_u18919, _u18921), _u18912), _u18910)), _u18923)) | ( _u18911 = _u18910) )).
% 29.00/29.26 cnf(matrix-7720, plain, ( c_Relation_Osingle__valued(_u18920, _u18922, _u18924) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18920, _u18922)), hAPP(hAPP(c_Product__Type_OPair(_u18920, _u18922), skolem457(_u18924, _u18922, _u18920)), skolem458(_u18924, _u18922, _u18920))), _u18924)) )).
% 29.00/29.26 cnf(matrix-7721, plain, ( c_Relation_Osingle__valued(_u18920, _u18922, _u18924) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18920, _u18922)), hAPP(hAPP(c_Product__Type_OPair(_u18920, _u18922), skolem457(_u18924, _u18922, _u18920)), skolem459(_u18924, _u18922, _u18920))), _u18924)) )).
% 29.00/29.26 cnf(matrix-7722, plain, ( c_Relation_Osingle__valued(_u18920, _u18922, _u18924) | ( skolem458(_u18924, _u18922, _u18920) != skolem459(_u18924, _u18922, _u18920)) )).
% 29.00/29.26 cnf(matrix-7723, plain, ( ~c_Relation_Osingle__valued(_u18925, _u18925, _u18926) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18925, _u18925)), hAPP(hAPP(c_Product__Type_OPair(_u18925, _u18925), _u18927), _u18928)), c_Transitive__Closure_Ortrancl(_u18925, _u18926))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18925, _u18925)), hAPP(hAPP(c_Product__Type_OPair(_u18925, _u18925), _u18927), _u18929)), c_Transitive__Closure_Ortrancl(_u18925, _u18926))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18925, _u18925)), hAPP(hAPP(c_Product__Type_OPair(_u18925, _u18925), _u18928), _u18929)), c_Transitive__Closure_Ortrancl(_u18925, _u18926))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18925, _u18925)), hAPP(hAPP(c_Product__Type_OPair(_u18925, _u18925), _u18929), _u18928)), c_Transitive__Closure_Ortrancl(_u18925, _u18926))) )).
% 29.00/29.26 cnf(matrix-7724, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18932, _u18932), tc_HOL_Obool)), _u18935), _u18936)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, _u18935))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), skolem460(_u18936, _u18935, _u18934, _u18933, _u18932)), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, _u18935))) )).
% 29.00/29.26 cnf(matrix-7725, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18932, _u18932), tc_HOL_Obool)), _u18935), _u18936)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, _u18935))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), skolem461(_u18936, _u18935, _u18934, _u18933, _u18932)), skolem460(_u18936, _u18935, _u18934, _u18933, _u18932))), _u18936)) )).
% 29.00/29.26 cnf(matrix-7726, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18932, _u18932), tc_HOL_Obool)), _u18935), _u18936)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18932, _u18932)), hAPP(hAPP(c_Product__Type_OPair(_u18932, _u18932), _u18933), _u18934)), c_Transitive__Closure_Ortrancl(_u18932, _u18935))) | ( skolem461(_u18936, _u18935, _u18934, _u18933, _u18932) != skolem460(_u18936, _u18935, _u18934, _u18933, _u18932)) )).
% 29.00/29.26 cnf(matrix-7727, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18939, _u18939), tc_HOL_Obool)), _u18942), _u18943)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, _u18942))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), skolem462(_u18943, _u18942, _u18941, _u18940, _u18939))), c_Transitive__Closure_Ortrancl(_u18939, _u18942))) )).
% 29.00/29.26 cnf(matrix-7728, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18939, _u18939), tc_HOL_Obool)), _u18942), _u18943)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, _u18942))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), skolem462(_u18943, _u18942, _u18941, _u18940, _u18939)), skolem463(_u18943, _u18942, _u18941, _u18940, _u18939))), _u18943)) )).
% 29.00/29.26 cnf(matrix-7729, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u18939, _u18939), tc_HOL_Obool)), _u18942), _u18943)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18939, _u18939)), hAPP(hAPP(c_Product__Type_OPair(_u18939, _u18939), _u18940), _u18941)), c_Transitive__Closure_Ortrancl(_u18939, _u18942))) | ( skolem462(_u18943, _u18942, _u18941, _u18940, _u18939) != skolem463(_u18943, _u18942, _u18941, _u18940, _u18939)) )).
% 29.00/29.26 cnf(matrix-7730, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), _u18959) != hAPP(c_List_Ofilter(_u18955, _u18961), _u18963)) | hBOOL(hAPP(_u18961, _u18957)) )).
% 29.00/29.26 cnf(matrix-7731, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), _u18959) != hAPP(c_List_Ofilter(_u18955, _u18961), _u18963)) | ~hBOOL(hAPP(hAPP(c_member(_u18955), _u18944), hAPP(c_List_Oset(_u18955), skolem464(_u18963, _u18961, _u18959, _u18957, _u18955)))) | ~hBOOL(hAPP(_u18961, _u18944)) )).
% 29.00/29.26 cnf(matrix-7732, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), _u18959) != hAPP(c_List_Ofilter(_u18955, _u18961), _u18963)) | ( _u18963 = hAPP(hAPP(c_List_Oappend(_u18955), skolem464(_u18963, _u18961, _u18959, _u18957, _u18955)), hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), skolem465(_u18963, _u18961, _u18959, _u18957, _u18955)))) )).
% 29.00/29.26 cnf(matrix-7733, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18955), _u18957), _u18959) != hAPP(c_List_Ofilter(_u18955, _u18961), _u18963)) | ( _u18959 = hAPP(c_List_Ofilter(_u18955, _u18961), skolem465(_u18963, _u18961, _u18959, _u18957, _u18955))) )).
% 29.00/29.26 cnf(matrix-7734, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18956), _u18958), _u18960) = hAPP(c_List_Ofilter(_u18956, _u18962), _u18964)) | ~hBOOL(hAPP(_u18962, _u18958)) | ( _u18964 != hAPP(hAPP(c_List_Oappend(_u18956), _u18949), hAPP(hAPP(c_List_Olist_OCons(_u18956), _u18958), _u18948))) | ( _u18960 != hAPP(c_List_Ofilter(_u18956, _u18962), _u18948)) | hBOOL(hAPP(hAPP(c_member(_u18956), skolem466(_u18964, _u18962, _u18960, _u18958, _u18956, _u18949)), hAPP(c_List_Oset(_u18956), _u18949))) )).
% 29.00/29.26 cnf(matrix-7735, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18956), _u18958), _u18960) = hAPP(c_List_Ofilter(_u18956, _u18962), _u18964)) | ~hBOOL(hAPP(_u18962, _u18958)) | ( _u18964 != hAPP(hAPP(c_List_Oappend(_u18956), _u18949), hAPP(hAPP(c_List_Olist_OCons(_u18956), _u18958), _u18948))) | ( _u18960 != hAPP(c_List_Ofilter(_u18956, _u18962), _u18948)) | hBOOL(hAPP(_u18962, skolem466(_u18964, _u18962, _u18960, _u18958, _u18956, _u18949))) )).
% 29.00/29.26 cnf(matrix-7736, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18966, _u18966)), hAPP(hAPP(c_Product__Type_OPair(_u18966, _u18966), _u18967), _u18968)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18966, _u18966), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18969)), _u18970))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18966, _u18966)), hAPP(hAPP(c_Product__Type_OPair(_u18966, _u18966), _u18967), skolem467(_u18970, _u18969, _u18968, _u18967, _u18966))), _u18970)) )).
% 29.00/29.26 cnf(matrix-7737, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18966, _u18966)), hAPP(hAPP(c_Product__Type_OPair(_u18966, _u18966), _u18967), _u18968)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18966, _u18966), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18969)), _u18970))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18966, _u18966)), hAPP(hAPP(c_Product__Type_OPair(_u18966, _u18966), skolem467(_u18970, _u18969, _u18968, _u18967, _u18966)), _u18968)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18966, _u18966), tc_HOL_Obool), _u18969), _u18970))) )).
% 29.00/29.26 cnf(matrix-7738, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18972, _u18972)), hAPP(hAPP(c_Product__Type_OPair(_u18972, _u18972), _u18973), _u18974)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18972, _u18972), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18975)), _u18976))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18972, _u18972)), hAPP(hAPP(c_Product__Type_OPair(_u18972, _u18972), _u18973), skolem468(_u18976, _u18975, _u18974, _u18973, _u18972))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18972, _u18972), tc_HOL_Obool), _u18975), _u18976))) )).
% 29.00/29.26 cnf(matrix-7739, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18972, _u18972)), hAPP(hAPP(c_Product__Type_OPair(_u18972, _u18972), _u18973), _u18974)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18972, _u18972), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18975)), _u18976))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18972, _u18972)), hAPP(hAPP(c_Product__Type_OPair(_u18972, _u18972), skolem468(_u18976, _u18975, _u18974, _u18973, _u18972)), _u18974)), _u18976)) )).
% 29.00/29.26 cnf(matrix-7740, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18978, _u18978)), hAPP(hAPP(c_Product__Type_OPair(_u18978, _u18978), _u18979), _u18980)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18978, _u18978), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18981)), _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18978, _u18978)), hAPP(hAPP(c_Product__Type_OPair(_u18978, _u18978), _u18979), skolem469(_u18982, _u18981, _u18980, _u18979, _u18978))), _u18982)) )).
% 29.00/29.26 cnf(matrix-7741, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18978, _u18978)), hAPP(hAPP(c_Product__Type_OPair(_u18978, _u18978), _u18979), _u18980)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18978, _u18978), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u18981)), _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18978, _u18978)), hAPP(hAPP(c_Product__Type_OPair(_u18978, _u18978), skolem469(_u18982, _u18981, _u18980, _u18979, _u18978)), _u18980)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u18978, _u18978), tc_HOL_Obool), _u18981), _u18982))) )).
% 29.00/29.26 cnf(matrix-7742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18984, tc_HOL_Obool)), _u18985), _u18986)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18984, _u18987), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u18984, _u18987), _u18985), _u18988)), hAPP(hAPP(c_Product__Type_OSigma(_u18984, _u18987), _u18986), _u18989))) | hBOOL(hAPP(hAPP(c_member(_u18984), skolem470(_u18989, _u18988, _u18987, _u18986, _u18985, _u18984)), _u18985)) )).
% 29.00/29.26 cnf(matrix-7743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18984, tc_HOL_Obool)), _u18985), _u18986)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u18984, _u18987), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u18984, _u18987), _u18985), _u18988)), hAPP(hAPP(c_Product__Type_OSigma(_u18984, _u18987), _u18986), _u18989))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18987, tc_HOL_Obool)), hAPP(_u18988, skolem470(_u18989, _u18988, _u18987, _u18986, _u18985, _u18984))), hAPP(_u18989, skolem470(_u18989, _u18988, _u18987, _u18986, _u18985, _u18984)))) )).
% 29.00/29.26 cnf(matrix-7744, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18991, _u18991)), hAPP(hAPP(c_Product__Type_OPair(_u18991, _u18991), _u18992), _u18993)), c_Transitive__Closure_Otrancl(_u18991, _u18994))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18991, _u18991)), hAPP(hAPP(c_Product__Type_OPair(_u18991, _u18991), _u18992), skolem471(_u18994, _u18993, _u18992, _u18991))), c_Transitive__Closure_Ortrancl(_u18991, _u18994))) )).
% 29.00/29.26 cnf(matrix-7745, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18991, _u18991)), hAPP(hAPP(c_Product__Type_OPair(_u18991, _u18991), _u18992), _u18993)), c_Transitive__Closure_Otrancl(_u18991, _u18994))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18991, _u18991)), hAPP(hAPP(c_Product__Type_OPair(_u18991, _u18991), skolem471(_u18994, _u18993, _u18992, _u18991)), _u18993)), _u18994)) )).
% 29.00/29.26 cnf(matrix-7746, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18996, _u18996)), hAPP(hAPP(c_Product__Type_OPair(_u18996, _u18996), _u18997), _u18998)), c_Transitive__Closure_Otrancl(_u18996, _u18999))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18996, _u18996)), hAPP(hAPP(c_Product__Type_OPair(_u18996, _u18996), _u18997), skolem472(_u18999, _u18998, _u18997, _u18996))), _u18999)) )).
% 29.00/29.26 cnf(matrix-7747, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18996, _u18996)), hAPP(hAPP(c_Product__Type_OPair(_u18996, _u18996), _u18997), _u18998)), c_Transitive__Closure_Otrancl(_u18996, _u18999))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18996, _u18996)), hAPP(hAPP(c_Product__Type_OPair(_u18996, _u18996), skolem472(_u18999, _u18998, _u18997, _u18996)), _u18998)), c_Transitive__Closure_Ortrancl(_u18996, _u18999))) )).
% 29.00/29.26 cnf(matrix-7748, plain, ( hBOOL(hAPP(hAPP(c_member(_u19001), _u19002), c_Wellfounded_Oacc(_u19001, _u19003))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u19001)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u19001), skolem473(_u19003, _u19002, _u19001)), _u19002)), _u19003)) )).
% 29.00/29.26 cnf(matrix-7749, plain, ( hBOOL(hAPP(hAPP(c_member(_u19001), _u19002), c_Wellfounded_Oacc(_u19001, _u19003))) | ~hBOOL(hAPP(hAPP(c_member(_u19001), skolem473(_u19003, _u19002, _u19001)), c_Wellfounded_Oacc(_u19001, _u19003))) )).
% 29.00/29.26 cnf(matrix-7750, plain, ( hBOOL(hAPP(hAPP(c_member(_u19005), _u19006), c_Wellfounded_Oacc(_u19005, _u19007))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19005, _u19005)), hAPP(hAPP(c_Product__Type_OPair(_u19005, _u19005), skolem474(_u19007, _u19006, _u19005)), _u19006)), _u19007)) )).
% 29.00/29.26 cnf(matrix-7751, plain, ( hBOOL(hAPP(hAPP(c_member(_u19005), _u19006), c_Wellfounded_Oacc(_u19005, _u19007))) | ~hBOOL(hAPP(hAPP(c_member(_u19005), skolem474(_u19007, _u19006, _u19005)), c_Wellfounded_Oacc(_u19005, _u19007))) )).
% 29.00/29.26 cnf(matrix-7752, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19010), _u19011)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19009, _u19010, c_Groups_Otimes__class_Otimes(_u19009)), _u19012), c_Groups_Oone__class_Oone(_u19009)), _u19011) = c_Groups_Oone__class_Oone(_u19009)) | hBOOL(hAPP(hAPP(c_member(_u19010), skolem475(_u19012, _u19011, _u19010, _u19009)), _u19011)) )).
% 29.00/29.26 cnf(matrix-7753, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19010), _u19011)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19009, _u19010, c_Groups_Otimes__class_Otimes(_u19009)), _u19012), c_Groups_Oone__class_Oone(_u19009)), _u19011) = c_Groups_Oone__class_Oone(_u19009)) | ( hAPP(_u19012, skolem475(_u19012, _u19011, _u19010, _u19009)) != c_Groups_Oone__class_Oone(_u19009)) )).
% 29.00/29.26 cnf(matrix-7754, plain, ( ~class_Orderings_Oorder(_u19013) | ~class_Enum_Oenum(_u19014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19014, _u19013)), _u19015), _u19016)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19014), hAPP(hAPP(c_COMBS(_u19014, _u19013, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19013, tc_fun(_u19013, tc_HOL_Obool), _u19014), c_Orderings_Oord__class_Oless__eq(_u19013)), _u19015)), _u19016))) )).
% 29.00/29.26 cnf(matrix-7755, plain, ( ~class_Orderings_Oorder(_u19013) | ~class_Enum_Oenum(_u19014) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19014), hAPP(hAPP(c_COMBS(_u19014, _u19013, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19013, tc_fun(_u19013, tc_HOL_Obool), _u19014), c_Orderings_Oord__class_Oless__eq(_u19013)), _u19015)), _u19016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19014, _u19013)), _u19015), _u19016)) )).
% 29.00/29.26 cnf(matrix-7756, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19018), _u19019)) | ( hAPP(c_Finite__Set_Ocard(_u19018), _u19019) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19018), skolem476(_u19019, _u19018)), _u19019)) )).
% 29.00/29.26 cnf(matrix-7757, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19018), _u19019)) | ( hAPP(c_Finite__Set_Ocard(_u19018), _u19019) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-7758, plain, ( ~class_Enum_Oenum(_u19022) | ~hBOOL(hAPP(_u19023, skolem477(_u19023, _u19022))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19022), _u19023)) )).
% 29.00/29.26 cnf(matrix-7759, plain, ( ~class_Enum_Oenum(_u19022) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19022), _u19023)) | hBOOL(hAPP(_u19023, _u19021)) )).
% 29.00/29.26 cnf(matrix-7760, plain, ( ~class_Enum_Oenum(_u19026) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19026), _u19027)) | hBOOL(hAPP(_u19027, _u19024)) )).
% 29.00/29.26 cnf(matrix-7761, plain, ( ~class_Enum_Oenum(_u19026) | ~hBOOL(hAPP(_u19027, skolem478(_u19027, _u19026))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19026), _u19027)) )).
% 29.00/29.26 cnf(matrix-7762, plain, ( ~class_Enum_Oenum(_u19028) | ~class_Enum_Oenum(_u19029) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u19029, _u19028)), _u19030)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19029), hAPP(hAPP(c_COMBB(tc_fun(_u19028, tc_HOL_Obool), tc_HOL_Obool, _u19029), c_Enum_Oenum__class_Oenum__all(_u19028)), hAPP(hAPP(c_COMBB(tc_fun(_u19028, tc_prod(_u19029, _u19028)), tc_fun(_u19028, tc_HOL_Obool), _u19029), hAPP(c_COMBB(tc_prod(_u19029, _u19028), tc_HOL_Obool, _u19028), _u19030)), c_Product__Type_OPair(_u19029, _u19028))))) )).
% 29.00/29.26 cnf(matrix-7763, plain, ( ~class_Enum_Oenum(_u19028) | ~class_Enum_Oenum(_u19029) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u19029), hAPP(hAPP(c_COMBB(tc_fun(_u19028, tc_HOL_Obool), tc_HOL_Obool, _u19029), c_Enum_Oenum__class_Oenum__all(_u19028)), hAPP(hAPP(c_COMBB(tc_fun(_u19028, tc_prod(_u19029, _u19028)), tc_fun(_u19028, tc_HOL_Obool), _u19029), hAPP(c_COMBB(tc_prod(_u19029, _u19028), tc_HOL_Obool, _u19028), _u19030)), c_Product__Type_OPair(_u19029, _u19028))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u19029, _u19028)), _u19030)) )).
% 29.00/29.26 cnf(matrix-7764, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19039), _u19041)) )).
% 29.00/29.26 cnf(matrix-7765, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19039), _u19043)) )).
% 29.00/29.26 cnf(matrix-7766, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | ( _u19043 != c_Orderings_Obot__class_Obot(tc_fun(_u19039, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-7767, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | ~hBOOL(hAPP(hAPP(c_member(_u19039), _u19032), _u19041)) | hBOOL(hAPP(hAPP(c_member(_u19039), skolem479(_u19045, _u19043, _u19041, _u19039, _u19032)), _u19043)) )).
% 29.00/29.26 cnf(matrix-7768, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19039, tc_HOL_Obool), tc_fun(_u19039, tc_HOL_Obool)), _u19041), _u19043)), c_Wellfounded_Omax__ext(_u19039, _u19045))) | ~hBOOL(hAPP(hAPP(c_member(_u19039), _u19032), _u19041)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19039, _u19039)), hAPP(hAPP(c_Product__Type_OPair(_u19039, _u19039), _u19032), skolem479(_u19045, _u19043, _u19041, _u19039, _u19032))), _u19045)) )).
% 29.00/29.26 cnf(matrix-7769, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19040, tc_HOL_Obool), tc_fun(_u19040, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19040, tc_HOL_Obool), tc_fun(_u19040, tc_HOL_Obool)), _u19042), _u19044)), c_Wellfounded_Omax__ext(_u19040, _u19046))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19040), _u19042)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19040), _u19044)) | ( _u19044 = c_Orderings_Obot__class_Obot(tc_fun(_u19040, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19040), skolem480(_u19046, _u19044, _u19042, _u19040)), _u19042)) )).
% 29.00/29.26 cnf(matrix-7770, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19040, tc_HOL_Obool), tc_fun(_u19040, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19040, tc_HOL_Obool), tc_fun(_u19040, tc_HOL_Obool)), _u19042), _u19044)), c_Wellfounded_Omax__ext(_u19040, _u19046))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19040), _u19042)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19040), _u19044)) | ( _u19044 = c_Orderings_Obot__class_Obot(tc_fun(_u19040, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19040), _u19033), _u19044)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19040, _u19040)), hAPP(hAPP(c_Product__Type_OPair(_u19040, _u19040), skolem480(_u19046, _u19044, _u19042, _u19040)), _u19033)), _u19046)) )).
% 29.00/29.26 cnf(matrix-7771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19048), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19049)), _u19050))) | hBOOL(hAPP(_u19051, hAPP(hAPP(c_List_Onth(_u19049), _u19050), _u19048))) | hBOOL(hAPP(hAPP(c_member(_u19049), skolem481(_u19051, _u19050, _u19049, _u19048)), hAPP(c_List_Oset(_u19049), _u19050))) )).
% 29.00/29.26 cnf(matrix-7772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19048), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19049)), _u19050))) | hBOOL(hAPP(_u19051, hAPP(hAPP(c_List_Onth(_u19049), _u19050), _u19048))) | ~hBOOL(hAPP(_u19051, skolem481(_u19051, _u19050, _u19049, _u19048))) )).
% 29.00/29.26 cnf(matrix-7773, plain, ( ~class_Orderings_Olinorder(_u19053) | ~c_List_Olinorder__class_Osorted(_u19053, _u19054) | c_List_Olinorder__class_Osorted(_u19053, hAPP(hAPP(c_List_Olist_OCons(_u19053), _u19055), _u19054)) | hBOOL(hAPP(hAPP(c_member(_u19053), skolem482(_u19055, _u19054, _u19053)), hAPP(c_List_Oset(_u19053), _u19054))) )).
% 29.00/29.26 cnf(matrix-7774, plain, ( ~class_Orderings_Olinorder(_u19053) | ~c_List_Olinorder__class_Osorted(_u19053, _u19054) | c_List_Olinorder__class_Osorted(_u19053, hAPP(hAPP(c_List_Olist_OCons(_u19053), _u19055), _u19054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19053), _u19055), skolem482(_u19055, _u19054, _u19053))) )).
% 29.00/29.26 cnf(matrix-7775, plain, ( hBOOL(hAPP(hAPP(c_member(_u19057), _u19059), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19057, tc_HOL_Obool), _u19058))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19057, tc_HOL_Obool)), skolem483(_u19059, _u19058, _u19057)), _u19058)) )).
% 29.00/29.26 cnf(matrix-7776, plain, ( hBOOL(hAPP(hAPP(c_member(_u19057), _u19059), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19057, tc_HOL_Obool), _u19058))) | ~hBOOL(hAPP(hAPP(c_member(_u19057), _u19059), skolem483(_u19059, _u19058, _u19057))) )).
% 29.00/29.26 cnf(matrix-7777, plain, ( ~class_Groups_Oab__semigroup__mult(_u19061) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19062), _u19063)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19061, _u19062, c_Groups_Otimes__class_Otimes(_u19061)), _u19064), _u19066), _u19063) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19061, _u19062, c_Groups_Otimes__class_Otimes(_u19061)), _u19065), _u19066), _u19063)) | hBOOL(hAPP(hAPP(c_member(_u19062), skolem484(_u19066, _u19065, _u19064, _u19063, _u19062, _u19061)), _u19063)) )).
% 29.00/29.26 cnf(matrix-7778, plain, ( ~class_Groups_Oab__semigroup__mult(_u19061) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19062), _u19063)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19061, _u19062, c_Groups_Otimes__class_Otimes(_u19061)), _u19064), _u19066), _u19063) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19061, _u19062, c_Groups_Otimes__class_Otimes(_u19061)), _u19065), _u19066), _u19063)) | ( hAPP(_u19064, skolem484(_u19066, _u19065, _u19064, _u19063, _u19062, _u19061)) != hAPP(_u19065, skolem484(_u19066, _u19065, _u19064, _u19063, _u19062, _u19061))) )).
% 29.00/29.26 cnf(matrix-7779, plain, ( ~class_Orderings_Olinorder(_u19068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19068), _u19069)) | ~hBOOL(hAPP(hAPP(c_member(_u19068), _u19070), _u19069)) | ( c_Big__Operators_Olinorder__class_OMin(_u19068, _u19069) = _u19070) | hBOOL(hAPP(hAPP(c_member(_u19068), skolem485(_u19070, _u19069, _u19068)), _u19069)) )).
% 29.00/29.26 cnf(matrix-7780, plain, ( ~class_Orderings_Olinorder(_u19068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19068), _u19069)) | ~hBOOL(hAPP(hAPP(c_member(_u19068), _u19070), _u19069)) | ( c_Big__Operators_Olinorder__class_OMin(_u19068, _u19069) = _u19070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19068), _u19070), skolem485(_u19070, _u19069, _u19068))) )).
% 29.00/29.26 cnf(matrix-7781, plain, ( ~class_Orderings_Olinorder(_u19072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19072), _u19073)) | ~hBOOL(hAPP(hAPP(c_member(_u19072), _u19074), _u19073)) | ( c_Big__Operators_Olinorder__class_OMax(_u19072, _u19073) = _u19074) | hBOOL(hAPP(hAPP(c_member(_u19072), skolem486(_u19074, _u19073, _u19072)), _u19073)) )).
% 29.00/29.26 cnf(matrix-7782, plain, ( ~class_Orderings_Olinorder(_u19072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19072), _u19073)) | ~hBOOL(hAPP(hAPP(c_member(_u19072), _u19074), _u19073)) | ( c_Big__Operators_Olinorder__class_OMax(_u19072, _u19073) = _u19074) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19072), skolem486(_u19074, _u19073, _u19072)), _u19074)) )).
% 29.00/29.26 cnf(matrix-7783, plain, ( ~c_Wellfounded_Owf(_u19076, _u19077) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19076, _u19076)), hAPP(hAPP(c_Product__Type_OPair(_u19076, _u19076), hAPP(_u19078, hAPP(c_Nat_OSuc, skolem487(_u19078, _u19077, _u19076)))), hAPP(_u19078, skolem487(_u19078, _u19077, _u19076)))), _u19077)) )).
% 29.00/29.26 cnf(matrix-7784, plain, ( ~c_List_Olist__ex(_u19084, _u19086, _u19088) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem488(_u19088, _u19086, _u19084)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19084)), _u19088))) )).
% 29.00/29.26 cnf(matrix-7785, plain, ( ~c_List_Olist__ex(_u19084, _u19086, _u19088) | hBOOL(hAPP(_u19086, hAPP(hAPP(c_List_Onth(_u19084), _u19088), skolem488(_u19088, _u19086, _u19084)))) )).
% 29.00/29.26 cnf(matrix-7786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19080), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19085)), _u19089))) | ~hBOOL(hAPP(_u19087, hAPP(hAPP(c_List_Onth(_u19085), _u19089), _u19080))) | c_List_Olist__ex(_u19085, _u19087, _u19089) )).
% 29.00/29.26 cnf(matrix-7787, plain, ( ~class_Groups_Ocomm__monoid__add(_u19091) | ~c_Fun_Oinj__on(_u19092, _u19093, _u19094, _u19095) | ( _u19096 != hAPP(c_Set_Oimage(_u19092, _u19093, _u19094), _u19095)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19093, _u19091), _u19098), _u19096) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19092, _u19091), _u19097), _u19095)) | hBOOL(hAPP(hAPP(c_member(_u19092), skolem489(_u19098, _u19097, _u19096, _u19095, _u19094, _u19093, _u19092, _u19091)), _u19095)) )).
% 29.00/29.26 cnf(matrix-7788, plain, ( ~class_Groups_Ocomm__monoid__add(_u19091) | ~c_Fun_Oinj__on(_u19092, _u19093, _u19094, _u19095) | ( _u19096 != hAPP(c_Set_Oimage(_u19092, _u19093, _u19094), _u19095)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19093, _u19091), _u19098), _u19096) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19092, _u19091), _u19097), _u19095)) | ( hAPP(_u19097, skolem489(_u19098, _u19097, _u19096, _u19095, _u19094, _u19093, _u19092, _u19091)) != hAPP(_u19098, hAPP(_u19094, skolem489(_u19098, _u19097, _u19096, _u19095, _u19094, _u19093, _u19092, _u19091)))) )).
% 29.00/29.26 cnf(matrix-7789, plain, ( ~c_List_Olist__ex(_u19103, _u19105, hAPP(hAPP(c_List_Olist_OCons(_u19103), _u19107), _u19109)) | hBOOL(hAPP(_u19105, _u19107)) | c_List_Olist__ex(_u19103, _u19105, _u19109) )).
% 29.00/29.26 cnf(matrix-7790, plain, ( c_List_Olist__ex(_u19104, _u19106, hAPP(hAPP(c_List_Olist_OCons(_u19104), _u19108), _u19110)) | ~hBOOL(hAPP(_u19106, _u19108)) )).
% 29.00/29.26 cnf(matrix-7791, plain, ( c_List_Olist__ex(_u19104, _u19106, hAPP(hAPP(c_List_Olist_OCons(_u19104), _u19108), _u19110)) | ~c_List_Olist__ex(_u19104, _u19106, _u19110) )).
% 29.00/29.26 cnf(matrix-7792, plain, ( ~c_List_Olist__ex(_u19115, _u19117, hAPP(hAPP(c_List_Oappend(_u19115), _u19119), _u19121)) | c_List_Olist__ex(_u19115, _u19117, _u19119) | c_List_Olist__ex(_u19115, _u19117, _u19121) )).
% 29.00/29.26 cnf(matrix-7793, plain, ( c_List_Olist__ex(_u19116, _u19118, hAPP(hAPP(c_List_Oappend(_u19116), _u19120), _u19122)) | ~c_List_Olist__ex(_u19116, _u19118, _u19120) )).
% 29.00/29.26 cnf(matrix-7794, plain, ( c_List_Olist__ex(_u19116, _u19118, hAPP(hAPP(c_List_Oappend(_u19116), _u19120), _u19122)) | ~c_List_Olist__ex(_u19116, _u19118, _u19122) )).
% 29.00/29.26 cnf(matrix-7795, plain, ( ~c_List_Olist__ex(_u19128, _u19130, _u19132) | hBOOL(hAPP(hAPP(c_member(_u19128), skolem490(_u19132, _u19130, _u19128)), hAPP(c_List_Oset(_u19128), _u19132))) )).
% 29.00/29.26 cnf(matrix-7796, plain, ( ~c_List_Olist__ex(_u19128, _u19130, _u19132) | hBOOL(hAPP(_u19130, skolem490(_u19132, _u19130, _u19128))) )).
% 29.00/29.26 cnf(matrix-7797, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19129), _u19124), hAPP(c_List_Oset(_u19129), _u19133))) | ~hBOOL(hAPP(_u19131, _u19124)) | c_List_Olist__ex(_u19129, _u19131, _u19133) )).
% 29.00/29.26 cnf(matrix-7798, plain, ( ~c_List_Olist__ex(_u19137, _u19139, hAPP(c_List_Orev(_u19137), _u19141)) | c_List_Olist__ex(_u19137, _u19139, _u19141) )).
% 29.00/29.26 cnf(matrix-7799, plain, ( ~c_List_Olist__ex(_u19138, _u19140, _u19142) | c_List_Olist__ex(_u19138, _u19140, hAPP(c_List_Orev(_u19138), _u19142)) )).
% 29.00/29.26 cnf(matrix-7800, plain, ( ~c_List_Olist__ex(_u19143, _u19144, c_List_Olist_ONil(_u19143)) )).
% 29.00/29.26 cnf(matrix-7801, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19146, _u19146)), _u19147), c_Relation_OId(_u19146))) | ( _u19147 = hAPP(hAPP(c_Product__Type_OPair(_u19146, _u19146), skolem491(_u19147, _u19146)), skolem491(_u19147, _u19146))) )).
% 29.00/29.26 cnf(matrix-7802, plain, ( ~class_Groups_Ocomm__monoid__add(_u19149) | ~class_Orderings_Oord(_u19150) | ( _u19151 != _u19152) | ( _u19153 != _u19154) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19155), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19151), _u19153)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19156), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19152), _u19154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19150), _u19152), skolem492(_u19156, _u19155, _u19154, _u19153, _u19152, _u19151, _u19150, _u19149))) )).
% 29.00/29.26 cnf(matrix-7803, plain, ( ~class_Groups_Ocomm__monoid__add(_u19149) | ~class_Orderings_Oord(_u19150) | ( _u19151 != _u19152) | ( _u19153 != _u19154) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19155), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19151), _u19153)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19156), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19152), _u19154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19150), skolem492(_u19156, _u19155, _u19154, _u19153, _u19152, _u19151, _u19150, _u19149)), _u19154)) )).
% 29.00/29.26 cnf(matrix-7804, plain, ( ~class_Groups_Ocomm__monoid__add(_u19149) | ~class_Orderings_Oord(_u19150) | ( _u19151 != _u19152) | ( _u19153 != _u19154) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19155), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19151), _u19153)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19150, _u19149), _u19156), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19150, _u19152), _u19154))) | ( hAPP(_u19155, skolem492(_u19156, _u19155, _u19154, _u19153, _u19152, _u19151, _u19150, _u19149)) != hAPP(_u19156, skolem492(_u19156, _u19155, _u19154, _u19153, _u19152, _u19151, _u19150, _u19149))) )).
% 29.00/29.26 cnf(matrix-7805, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19164), _u19166), hAPP(c_List_Oset(_u19164), _u19168))) | ( _u19168 = hAPP(hAPP(c_List_Oappend(_u19164), skolem493(_u19168, _u19166, _u19164)), hAPP(hAPP(c_List_Olist_OCons(_u19164), _u19166), skolem494(_u19168, _u19166, _u19164)))) )).
% 29.00/29.26 cnf(matrix-7806, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19164), _u19166), hAPP(c_List_Oset(_u19164), _u19168))) | ~hBOOL(hAPP(hAPP(c_member(_u19164), _u19166), hAPP(c_List_Oset(_u19164), skolem493(_u19168, _u19166, _u19164)))) )).
% 29.00/29.26 cnf(matrix-7807, plain, ( ( _u19169 != hAPP(hAPP(c_List_Oappend(_u19165), _u19160), hAPP(hAPP(c_List_Olist_OCons(_u19165), _u19167), _u19159))) | hBOOL(hAPP(hAPP(c_member(_u19165), _u19167), hAPP(c_List_Oset(_u19165), _u19160))) | hBOOL(hAPP(hAPP(c_member(_u19165), _u19167), hAPP(c_List_Oset(_u19165), _u19169))) )).
% 29.00/29.26 cnf(matrix-7808, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19177), _u19179), hAPP(c_List_Oset(_u19177), _u19181))) | ( _u19181 = hAPP(hAPP(c_List_Oappend(_u19177), skolem495(_u19181, _u19179, _u19177)), hAPP(hAPP(c_List_Olist_OCons(_u19177), _u19179), skolem496(_u19181, _u19179, _u19177)))) )).
% 29.00/29.26 cnf(matrix-7809, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19177), _u19179), hAPP(c_List_Oset(_u19177), _u19181))) | ~hBOOL(hAPP(hAPP(c_member(_u19177), _u19179), hAPP(c_List_Oset(_u19177), skolem496(_u19181, _u19179, _u19177)))) )).
% 29.00/29.26 cnf(matrix-7810, plain, ( ( _u19182 != hAPP(hAPP(c_List_Oappend(_u19178), _u19173), hAPP(hAPP(c_List_Olist_OCons(_u19178), _u19180), _u19172))) | hBOOL(hAPP(hAPP(c_member(_u19178), _u19180), hAPP(c_List_Oset(_u19178), _u19172))) | hBOOL(hAPP(hAPP(c_member(_u19178), _u19180), hAPP(c_List_Oset(_u19178), _u19182))) )).
% 29.00/29.26 cnf(matrix-7811, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19190), _u19192), hAPP(c_List_Oset(_u19190), _u19194))) | ( _u19194 = hAPP(hAPP(c_List_Oappend(_u19190), skolem497(_u19194, _u19192, _u19190)), hAPP(hAPP(c_List_Olist_OCons(_u19190), _u19192), skolem498(_u19194, _u19192, _u19190)))) )).
% 29.00/29.26 cnf(matrix-7812, plain, ( ( _u19195 != hAPP(hAPP(c_List_Oappend(_u19191), _u19186), hAPP(hAPP(c_List_Olist_OCons(_u19191), _u19193), _u19185))) | hBOOL(hAPP(hAPP(c_member(_u19191), _u19193), hAPP(c_List_Oset(_u19191), _u19195))) )).
% 29.00/29.26 cnf(matrix-7813, plain, ( ~class_Orderings_Olinorder(_u19196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19196), _u19197)) | hBOOL(hAPP(hAPP(c_member(_u19196), _u19198), _u19197)) | ( c_Big__Operators_Olattice_OSup__fin(_u19196, c_Orderings_Oord__class_Omax(_u19196), hAPP(hAPP(c_Set_Oinsert(_u19196), _u19198), _u19197)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19196, _u19196, c_Orderings_Oord__class_Omax(_u19196)), _u19198), _u19197)) )).
% 29.00/29.26 cnf(matrix-7814, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19199), _u19200)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19199), _u19201), c_Complete__Lattice_OSup__class_OSup(_u19199, _u19200)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19199, _u19199, c_Lattices_Osemilattice__sup__class_Osup(_u19199)), _u19201), _u19200)) )).
% 29.00/29.26 cnf(matrix-7815, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19202) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19202), _u19203)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19202), _u19204), c_Complete__Lattice_OInf__class_OInf(_u19202, _u19203)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19202, _u19202, c_Lattices_Osemilattice__inf__class_Oinf(_u19202)), _u19204), _u19203)) )).
% 29.00/29.26 cnf(matrix-7816, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u19205, _u19206, _u19207), _u19208), _u19209) = c_HOL_OThe(_u19206, c_Finite__Set_Ofold__graph(_u19205, _u19206, _u19207, _u19208, _u19209))) )).
% 29.00/29.26 cnf(matrix-7817, plain, ( ~c_Finite__Set_Ofolding(_u19210, _u19211, _u19212, _u19213) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19210), _u19214)) | ( hAPP(hAPP(_u19213, _u19214), _u19215) = hAPP(hAPP(c_Finite__Set_Ofold(_u19210, _u19211, _u19212), _u19215), _u19214)) )).
% 29.00/29.26 cnf(matrix-7818, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u19216, _u19217, _u19218), _u19219) = c_Finite__Set_Ofold(_u19217, _u19216, hAPP(hAPP(c_COMBB(_u19216, tc_fun(_u19216, _u19216), _u19217), _u19218), _u19219))) )).
% 29.00/29.26 cnf(matrix-7819, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u19220, _u19221, _u19222), _u19223), c_Orderings_Obot__class_Obot(tc_fun(_u19220, tc_HOL_Obool))) = _u19223) )).
% 29.00/29.26 cnf(matrix-7820, plain, ( ~class_Lattices_Osemilattice__inf(_u19224) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19224), _u19225)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19224, _u19224, c_Lattices_Osemilattice__inf__class_Oinf(_u19224)), _u19226), hAPP(hAPP(c_Set_Oinsert(_u19224), _u19227), _u19225)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19224), _u19227), hAPP(hAPP(c_Finite__Set_Ofold(_u19224, _u19224, c_Lattices_Osemilattice__inf__class_Oinf(_u19224)), _u19226), _u19225))) )).
% 29.00/29.26 cnf(matrix-7821, plain, ( ~class_Lattices_Osemilattice__sup(_u19228) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19228), _u19229)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19228, _u19228, c_Lattices_Osemilattice__sup__class_Osup(_u19228)), _u19230), hAPP(hAPP(c_Set_Oinsert(_u19228), _u19231), _u19229)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19228), _u19231), hAPP(hAPP(c_Finite__Set_Ofold(_u19228, _u19228, c_Lattices_Osemilattice__sup__class_Osup(_u19228)), _u19230), _u19229))) )).
% 29.00/29.26 cnf(matrix-7822, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19232), _u19233)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19232, tc_HOL_Obool)), _u19233), _u19234) = hAPP(hAPP(c_Finite__Set_Ofold(_u19232, tc_fun(_u19232, tc_HOL_Obool), c_Set_Oinsert(_u19232)), _u19234), _u19233)) )).
% 29.00/29.26 cnf(matrix-7823, plain, ( ~class_Orderings_Olinorder(_u19235) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19235), _u19236)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19235, _u19235, c_Orderings_Oord__class_Omax(_u19235)), _u19237), hAPP(hAPP(c_Set_Oinsert(_u19235), _u19238), _u19236)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19235), _u19238), hAPP(hAPP(c_Finite__Set_Ofold(_u19235, _u19235, c_Orderings_Oord__class_Omax(_u19235)), _u19237), _u19236))) )).
% 29.00/29.26 cnf(matrix-7824, plain, ( ~class_Orderings_Olinorder(_u19239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19239), _u19240)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19239, _u19239, c_Orderings_Oord__class_Omin(_u19239)), _u19241), hAPP(hAPP(c_Set_Oinsert(_u19239), _u19242), _u19240)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u19239), _u19242), hAPP(hAPP(c_Finite__Set_Ofold(_u19239, _u19239, c_Orderings_Oord__class_Omin(_u19239)), _u19241), _u19240))) )).
% 29.00/29.26 cnf(matrix-7825, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19243, _u19244, _u19245) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19243), _u19246)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19243, _u19244, _u19245), _u19247), hAPP(hAPP(c_Set_Oinsert(_u19243), _u19248), _u19246)) = hAPP(hAPP(_u19245, _u19248), hAPP(hAPP(c_Finite__Set_Ofold(_u19243, _u19244, _u19245), _u19247), _u19246))) )).
% 29.00/29.26 cnf(matrix-7826, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19249, _u19250, _u19251) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19249), _u19252)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19249, _u19250, _u19251), _u19253), hAPP(hAPP(c_Set_Oinsert(_u19249), _u19254), _u19252)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19249, _u19250, _u19251), hAPP(hAPP(_u19251, _u19254), _u19253)), _u19252)) )).
% 29.00/29.26 cnf(matrix-7827, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19255) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19256), _u19257)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19255), _u19258), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19256, _u19255), _u19257), _u19259)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19256, _u19255, hAPP(hAPP(c_COMBB(_u19255, tc_fun(_u19255, _u19255), _u19256), c_Lattices_Osemilattice__sup__class_Osup(_u19255)), _u19259)), _u19258), _u19257)) )).
% 29.00/29.26 cnf(matrix-7828, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19260) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19261), _u19262)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19260), _u19263), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19261, _u19260), _u19262), _u19264)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19261, _u19260, hAPP(hAPP(c_COMBB(_u19260, tc_fun(_u19260, _u19260), _u19261), c_Lattices_Osemilattice__inf__class_Oinf(_u19260)), _u19264)), _u19263), _u19262)) )).
% 29.00/29.26 cnf(matrix-7829, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u19265, _u19266, _u19267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19265), _u19268)) | ( hAPP(_u19267, hAPP(hAPP(c_Set_Oinsert(_u19265), _u19269), _u19268)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19265, _u19265, _u19266), _u19269), _u19268)) )).
% 29.00/29.26 cnf(matrix-7830, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u19270, _u19271, _u19272) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19270, _u19271, _u19272), _u19273), hAPP(c_List_Oset(_u19270), _u19274)) = hAPP(c_List_Ofoldl(_u19271, _u19270, hAPP(c_COMBC(_u19270, _u19271, _u19271), _u19272), _u19273), _u19274)) )).
% 29.00/29.26 cnf(matrix-7831, plain, ( ~class_Lattices_Osemilattice__sup(_u19275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19275), _u19276)) | ~hBOOL(hAPP(hAPP(c_member(_u19275), _u19277), _u19276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19275), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19275), _u19277), _u19278)), hAPP(hAPP(c_Finite__Set_Ofold(_u19275, _u19275, c_Lattices_Osemilattice__sup__class_Osup(_u19275)), _u19278), _u19276))) )).
% 29.00/29.26 cnf(matrix-7832, plain, ( ~class_Lattices_Osemilattice__inf(_u19279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19279), _u19280)) | ~hBOOL(hAPP(hAPP(c_member(_u19279), _u19281), _u19280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19279), hAPP(hAPP(c_Finite__Set_Ofold(_u19279, _u19279, c_Lattices_Osemilattice__inf__class_Oinf(_u19279)), _u19282), _u19280)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19279), _u19281), _u19282))) )).
% 29.00/29.26 cnf(matrix-7833, plain, ( ~class_Orderings_Olinorder(_u19283) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19283), _u19284)) | ~hBOOL(hAPP(hAPP(c_member(_u19283), _u19285), _u19284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19283), hAPP(hAPP(c_Finite__Set_Ofold(_u19283, _u19283, c_Orderings_Oord__class_Omin(_u19283)), _u19286), _u19284)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u19283), _u19285), _u19286))) )).
% 29.00/29.26 cnf(matrix-7834, plain, ( ~class_Orderings_Olinorder(_u19287) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19287), _u19288)) | ~hBOOL(hAPP(hAPP(c_member(_u19287), _u19289), _u19288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19287), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19287), _u19289), _u19290)), hAPP(hAPP(c_Finite__Set_Ofold(_u19287, _u19287, c_Orderings_Oord__class_Omax(_u19287)), _u19290), _u19288))) )).
% 29.00/29.26 cnf(matrix-7835, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19291) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19291), _u19292)) | ( c_Complete__Lattice_OSup__class_OSup(_u19291, _u19292) = hAPP(hAPP(c_Finite__Set_Ofold(_u19291, _u19291, c_Lattices_Osemilattice__sup__class_Osup(_u19291)), c_Orderings_Obot__class_Obot(_u19291)), _u19292)) )).
% 29.00/29.26 cnf(matrix-7836, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19293), _u19294)) | ( c_Complete__Lattice_OInf__class_OInf(_u19293, _u19294) = hAPP(hAPP(c_Finite__Set_Ofold(_u19293, _u19293, c_Lattices_Osemilattice__inf__class_Oinf(_u19293)), c_Orderings_Otop__class_Otop(_u19293)), _u19294)) )).
% 29.00/29.26 cnf(matrix-7837, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u19295) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19295), _u19296)) | ( hAPP(c_Finite__Set_Ofold1(_u19295, c_Groups_Otimes__class_Otimes(_u19295)), hAPP(hAPP(c_Set_Oinsert(_u19295), _u19297), _u19296)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19295, _u19295, c_Groups_Otimes__class_Otimes(_u19295)), _u19297), _u19296)) )).
% 29.00/29.26 cnf(matrix-7838, plain, ( ~class_Lattices_Olattice(_u19298) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19298), _u19299)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19298, hAPP(hAPP(c_Set_Oinsert(_u19298), _u19300), _u19299)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19298, _u19298, c_Lattices_Osemilattice__sup__class_Osup(_u19298)), _u19300), _u19299)) )).
% 29.00/29.26 cnf(matrix-7839, plain, ( ~class_Lattices_Olattice(_u19301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19301), _u19302)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19301, hAPP(hAPP(c_Set_Oinsert(_u19301), _u19303), _u19302)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19301, _u19301, c_Lattices_Osemilattice__inf__class_Oinf(_u19301)), _u19303), _u19302)) )).
% 29.00/29.26 cnf(matrix-7840, plain, ( ~class_Orderings_Olinorder(_u19304) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19304), _u19305)) | ( c_Big__Operators_Olinorder__class_OMin(_u19304, hAPP(hAPP(c_Set_Oinsert(_u19304), _u19306), _u19305)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19304, _u19304, c_Orderings_Oord__class_Omin(_u19304)), _u19306), _u19305)) )).
% 29.00/29.26 cnf(matrix-7841, plain, ( ~class_Orderings_Olinorder(_u19307) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19307), _u19308)) | ( c_Big__Operators_Olinorder__class_OMax(_u19307, hAPP(hAPP(c_Set_Oinsert(_u19307), _u19309), _u19308)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19307, _u19307, c_Orderings_Oord__class_Omax(_u19307)), _u19309), _u19308)) )).
% 29.00/29.26 cnf(matrix-7842, plain, ( ~class_Orderings_Olinorder(_u19310) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19310), _u19311)) | ( c_Big__Operators_Olattice_OInf__fin(_u19310, c_Orderings_Oord__class_Omin(_u19310), hAPP(hAPP(c_Set_Oinsert(_u19310), _u19312), _u19311)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19310, _u19310, c_Orderings_Oord__class_Omin(_u19310)), _u19312), _u19311)) )).
% 29.00/29.26 cnf(matrix-7843, plain, ( ~class_Orderings_Olinorder(_u19313) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), _u19314)) | ( c_Big__Operators_Olattice_OSup__fin(_u19313, c_Orderings_Oord__class_Omax(_u19313), hAPP(hAPP(c_Set_Oinsert(_u19313), _u19315), _u19314)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19313, _u19313, c_Orderings_Oord__class_Omax(_u19313)), _u19315), _u19314)) )).
% 29.00/29.26 cnf(matrix-7844, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19316), _u19317)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19316, tc_HOL_Obool)), _u19318), _u19317) = hAPP(hAPP(c_Finite__Set_Ofold(_u19316, tc_fun(_u19316, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u19316, tc_HOL_Obool), tc_fun(tc_fun(_u19316, tc_HOL_Obool), tc_fun(_u19316, tc_HOL_Obool)), _u19316), hAPP(c_COMBC(tc_fun(_u19316, tc_HOL_Obool), tc_fun(_u19316, tc_HOL_Obool), tc_fun(_u19316, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u19316, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u19316, tc_fun(_u19316, tc_HOL_Obool), tc_fun(_u19316, tc_HOL_Obool)), c_Set_Oinsert(_u19316)), c_Orderings_Obot__class_Obot(tc_fun(_u19316, tc_HOL_Obool))))), _u19318), _u19317)) )).
% 29.00/29.26 cnf(matrix-7845, plain, ( ~c_Finite__Set_Ofolding__one(_u19319, _u19320, _u19321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19319), _u19322)) | hBOOL(hAPP(hAPP(c_member(_u19319), _u19323), _u19322)) | ( hAPP(_u19321, hAPP(hAPP(c_Set_Oinsert(_u19319), _u19323), _u19322)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19319, _u19319, _u19320), _u19323), _u19322)) )).
% 29.00/29.26 cnf(matrix-7846, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19324) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19325), _u19326)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19325, _u19324), _u19326), _u19327) = hAPP(hAPP(c_Finite__Set_Ofold(_u19325, _u19324, hAPP(hAPP(c_COMBB(_u19324, tc_fun(_u19324, _u19324), _u19325), c_Lattices_Osemilattice__sup__class_Osup(_u19324)), _u19327)), c_Orderings_Obot__class_Obot(_u19324)), _u19326)) )).
% 29.00/29.26 cnf(matrix-7847, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19328) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19329), _u19330)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19329, _u19328), _u19330), _u19331) = hAPP(hAPP(c_Finite__Set_Ofold(_u19329, _u19328, hAPP(hAPP(c_COMBB(_u19328, tc_fun(_u19328, _u19328), _u19329), c_Lattices_Osemilattice__inf__class_Oinf(_u19328)), _u19331)), c_Orderings_Otop__class_Otop(_u19328)), _u19330)) )).
% 29.00/29.26 cnf(matrix-7848, plain, ( ~class_Groups_Oab__semigroup__mult(_u19332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19332), _u19333)) | hBOOL(hAPP(hAPP(c_member(_u19332), _u19334), _u19333)) | ( hAPP(c_Finite__Set_Ofold1(_u19332, c_Groups_Otimes__class_Otimes(_u19332)), hAPP(hAPP(c_Set_Oinsert(_u19332), _u19334), _u19333)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19332, _u19332, c_Groups_Otimes__class_Otimes(_u19332)), _u19334), _u19333)) )).
% 29.00/29.26 cnf(matrix-7849, plain, ( ~class_Lattices_Olattice(_u19335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19335), _u19336)) | hBOOL(hAPP(hAPP(c_member(_u19335), _u19337), _u19336)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u19335, hAPP(hAPP(c_Set_Oinsert(_u19335), _u19337), _u19336)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19335, _u19335, c_Lattices_Osemilattice__sup__class_Osup(_u19335)), _u19337), _u19336)) )).
% 29.00/29.26 cnf(matrix-7850, plain, ( ~class_Lattices_Olattice(_u19338) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19338), _u19339)) | hBOOL(hAPP(hAPP(c_member(_u19338), _u19340), _u19339)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u19338, hAPP(hAPP(c_Set_Oinsert(_u19338), _u19340), _u19339)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19338, _u19338, c_Lattices_Osemilattice__inf__class_Oinf(_u19338)), _u19340), _u19339)) )).
% 29.00/29.26 cnf(matrix-7851, plain, ( ~class_Orderings_Olinorder(_u19341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19341), _u19342)) | hBOOL(hAPP(hAPP(c_member(_u19341), _u19343), _u19342)) | ( c_Big__Operators_Olinorder__class_OMin(_u19341, hAPP(hAPP(c_Set_Oinsert(_u19341), _u19343), _u19342)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19341, _u19341, c_Orderings_Oord__class_Omin(_u19341)), _u19343), _u19342)) )).
% 29.00/29.26 cnf(matrix-7852, plain, ( ~class_Orderings_Olinorder(_u19344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19344), _u19345)) | hBOOL(hAPP(hAPP(c_member(_u19344), _u19346), _u19345)) | ( c_Big__Operators_Olinorder__class_OMax(_u19344, hAPP(hAPP(c_Set_Oinsert(_u19344), _u19346), _u19345)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19344, _u19344, c_Orderings_Oord__class_Omax(_u19344)), _u19346), _u19345)) )).
% 29.00/29.26 cnf(matrix-7853, plain, ( ~class_Orderings_Olinorder(_u19347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19347), _u19348)) | hBOOL(hAPP(hAPP(c_member(_u19347), _u19349), _u19348)) | ( c_Big__Operators_Olattice_OInf__fin(_u19347, c_Orderings_Oord__class_Omin(_u19347), hAPP(hAPP(c_Set_Oinsert(_u19347), _u19349), _u19348)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19347, _u19347, c_Orderings_Oord__class_Omin(_u19347)), _u19349), _u19348)) )).
% 29.00/29.26 cnf(matrix-7854, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19350, _u19351, _u19352) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19350), _u19353)) | ~hBOOL(hAPP(hAPP(c_member(_u19350), _u19354), _u19353)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19350, _u19351, _u19352), _u19355), _u19353) = hAPP(hAPP(_u19352, _u19354), hAPP(hAPP(c_Finite__Set_Ofold(_u19350, _u19351, _u19352), _u19355), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19350, tc_HOL_Obool)), _u19353), hAPP(hAPP(c_Set_Oinsert(_u19350), _u19354), c_Orderings_Obot__class_Obot(tc_fun(_u19350, tc_HOL_Obool))))))) )).
% 29.00/29.26 cnf(matrix-7855, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19356, _u19357, _u19358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19356), _u19359)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19356, _u19357, _u19358), _u19360), hAPP(hAPP(c_Set_Oinsert(_u19356), _u19361), _u19359)) = hAPP(hAPP(_u19358, _u19361), hAPP(hAPP(c_Finite__Set_Ofold(_u19356, _u19357, _u19358), _u19360), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19356, tc_HOL_Obool)), _u19359), hAPP(hAPP(c_Set_Oinsert(_u19356), _u19361), c_Orderings_Obot__class_Obot(tc_fun(_u19356, tc_HOL_Obool))))))) )).
% 29.00/29.26 cnf(matrix-7856, plain, ( ( hAPP(c_Fun_Ocomp(_u19363, _u19363, _u19363, hAPP(_u19364, _u19365)), hAPP(_u19364, _u19366)) = hAPP(c_Fun_Ocomp(_u19363, _u19363, _u19363, hAPP(_u19364, _u19366)), hAPP(_u19364, _u19365))) | ~c_Finite__Set_Ofun__left__comm(_u19362, _u19363, _u19364) )).
% 29.00/29.26 cnf(matrix-7857, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19367, _u19368, _u19369) | c_Finite__Set_Ofun__left__comm(_u19370, _u19368, hAPP(hAPP(c_COMBB(_u19367, tc_fun(_u19368, _u19368), _u19370), _u19369), _u19371)) )).
% 29.00/29.26 cnf(matrix-7858, plain, ( ( hAPP(hAPP(_u19374, _u19375), hAPP(hAPP(_u19374, _u19376), _u19377)) = hAPP(hAPP(_u19374, _u19376), hAPP(hAPP(_u19374, _u19375), _u19377))) | ~c_Finite__Set_Ofun__left__comm(_u19372, _u19373, _u19374) )).
% 29.00/29.26 cnf(matrix-7859, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19378, _u19379, _u19380) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19378, _u19379, _u19380, _u19381, _u19382), _u19383)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19378, _u19379, _u19380, _u19381, _u19382), _u19384)) | ( _u19384 = _u19383) )).
% 29.00/29.26 cnf(matrix-7860, plain, ( ~class_Groups_Oab__semigroup__mult(_u19385) | c_Finite__Set_Ofun__left__comm(_u19385, _u19385, c_Groups_Otimes__class_Otimes(_u19385)) )).
% 29.00/29.26 cnf(matrix-7861, plain, ( ~class_Orderings_Olinorder(_u19386) | c_Finite__Set_Ofun__left__comm(_u19386, tc_List_Olist(_u19386), c_List_Olinorder__class_Oinsort__key(_u19386, _u19386, c_COMBI(_u19386))) )).
% 29.00/29.26 cnf(matrix-7862, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19387, _u19388, _u19389) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19387), _u19390)) | ( hAPP(hAPP(_u19389, _u19391), hAPP(hAPP(c_Finite__Set_Ofold(_u19387, _u19388, _u19389), _u19392), _u19390)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19387, _u19388, _u19389), hAPP(hAPP(_u19389, _u19391), _u19392)), _u19390)) )).
% 29.00/29.26 cnf(matrix-7863, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19393, _u19394, _u19395) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19393, _u19394, _u19395, _u19396, _u19397), _u19398)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19393, _u19394, _u19395), _u19396), _u19397) = _u19398) )).
% 29.00/29.26 cnf(matrix-7864, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19399, _u19400, _u19401) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19399), _u19402)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19399, _u19400, _u19401, _u19403, _u19402), hAPP(hAPP(c_Finite__Set_Ofold(_u19399, _u19400, _u19401), _u19403), _u19402))) )).
% 29.00/29.26 cnf(matrix-7865, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19404, _u19405, _u19406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19404), _u19407)) | hBOOL(hAPP(hAPP(c_member(_u19404), _u19408), _u19407)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19404, _u19405, _u19406), _u19409), hAPP(hAPP(c_Set_Oinsert(_u19404), _u19408), _u19407)) = hAPP(hAPP(c_Finite__Set_Ofold(_u19404, _u19405, _u19406), hAPP(hAPP(_u19406, _u19408), _u19409)), _u19407)) )).
% 29.00/29.26 cnf(matrix-7866, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19410, _u19411, _u19412) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19410), _u19413)) | hBOOL(hAPP(hAPP(c_member(_u19410), _u19414), _u19413)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19410, _u19411, _u19412), _u19415), hAPP(hAPP(c_Set_Oinsert(_u19410), _u19414), _u19413)) = hAPP(hAPP(_u19412, _u19414), hAPP(hAPP(c_Finite__Set_Ofold(_u19410, _u19411, _u19412), _u19415), _u19413))) )).
% 29.00/29.26 cnf(matrix-7867, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19416, _u19417, _u19418) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u19416, _u19417, _u19418), _u19419), hAPP(c_List_Oset(_u19416), _u19420)) = hAPP(c_List_Ofoldl(_u19417, _u19416, hAPP(c_COMBC(_u19416, _u19417, _u19417), _u19418), _u19419), c_List_Oremdups(_u19416, _u19420))) )).
% 29.00/29.26 cnf(matrix-7868, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19422, _u19423, _u19424) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19422, _u19423, _u19424, _u19425, _u19426), _u19427)) | ~hBOOL(hAPP(hAPP(c_member(_u19422), _u19428), _u19426)) | ( _u19427 = hAPP(hAPP(_u19424, _u19428), skolem499(_u19428, _u19427, _u19426, _u19425, _u19424, _u19423, _u19422))) )).
% 29.00/29.26 cnf(matrix-7869, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19422, _u19423, _u19424) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19422, _u19423, _u19424, _u19425, _u19426), _u19427)) | ~hBOOL(hAPP(hAPP(c_member(_u19422), _u19428), _u19426)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19422, _u19423, _u19424, _u19425, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19422, tc_HOL_Obool)), _u19426), hAPP(hAPP(c_Set_Oinsert(_u19422), _u19428), c_Orderings_Obot__class_Obot(tc_fun(_u19422, tc_HOL_Obool))))), skolem499(_u19428, _u19427, _u19426, _u19425, _u19424, _u19423, _u19422))) )).
% 29.00/29.26 cnf(matrix-7870, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19430, _u19431, _u19432) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19430, _u19431, _u19432, _u19433, hAPP(hAPP(c_Set_Oinsert(_u19430), _u19434), _u19435)), _u19436)) | hBOOL(hAPP(hAPP(c_member(_u19430), _u19434), _u19435)) | ( _u19436 = hAPP(hAPP(_u19432, _u19434), skolem500(_u19436, _u19435, _u19434, _u19433, _u19432, _u19431, _u19430))) )).
% 29.00/29.26 cnf(matrix-7871, plain, ( ~c_Finite__Set_Ofun__left__comm(_u19430, _u19431, _u19432) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19430, _u19431, _u19432, _u19433, hAPP(hAPP(c_Set_Oinsert(_u19430), _u19434), _u19435)), _u19436)) | hBOOL(hAPP(hAPP(c_member(_u19430), _u19434), _u19435)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u19430, _u19431, _u19432, _u19433, _u19435), skolem500(_u19436, _u19435, _u19434, _u19433, _u19432, _u19431, _u19430))) )).
% 29.00/29.26 cnf(matrix-7872, plain, ( ~class_Orderings_Olinorder(_u19438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19438), _u19439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), hAPP(hAPP(c_Finite__Set_Ofold(_u19438, _u19438, c_Orderings_Oord__class_Omax(_u19438)), _u19441), _u19439)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19438), _u19440), _u19441))) | hBOOL(hAPP(hAPP(c_member(_u19438), skolem501(_u19441, _u19440, _u19439, _u19438)), _u19439)) )).
% 29.00/29.26 cnf(matrix-7873, plain, ( ~class_Orderings_Olinorder(_u19438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19438), _u19439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), hAPP(hAPP(c_Finite__Set_Ofold(_u19438, _u19438, c_Orderings_Oord__class_Omax(_u19438)), _u19441), _u19439)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19438), _u19440), _u19441))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19438), skolem501(_u19441, _u19440, _u19439, _u19438)), _u19440)) )).
% 29.00/29.26 cnf(matrix-7874, plain, ( ~class_Orderings_Olinorder(_u19443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19443), _u19444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19443), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u19443), _u19445), _u19446)), hAPP(hAPP(c_Finite__Set_Ofold(_u19443, _u19443, c_Orderings_Oord__class_Omin(_u19443)), _u19446), _u19444))) | hBOOL(hAPP(hAPP(c_member(_u19443), skolem502(_u19446, _u19445, _u19444, _u19443)), _u19444)) )).
% 29.00/29.26 cnf(matrix-7875, plain, ( ~class_Orderings_Olinorder(_u19443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19443), _u19444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19443), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u19443), _u19445), _u19446)), hAPP(hAPP(c_Finite__Set_Ofold(_u19443, _u19443, c_Orderings_Oord__class_Omin(_u19443)), _u19446), _u19444))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19443), _u19445), skolem502(_u19446, _u19445, _u19444, _u19443))) )).
% 29.00/29.26 cnf(matrix-7876, plain, ( ~class_Lattices_Osemilattice__inf(_u19448) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19448), _u19449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19448), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19448), _u19450), _u19451)), hAPP(hAPP(c_Finite__Set_Ofold(_u19448, _u19448, c_Lattices_Osemilattice__inf__class_Oinf(_u19448)), _u19451), _u19449))) | hBOOL(hAPP(hAPP(c_member(_u19448), skolem503(_u19451, _u19450, _u19449, _u19448)), _u19449)) )).
% 29.00/29.26 cnf(matrix-7877, plain, ( ~class_Lattices_Osemilattice__inf(_u19448) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19448), _u19449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19448), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u19448), _u19450), _u19451)), hAPP(hAPP(c_Finite__Set_Ofold(_u19448, _u19448, c_Lattices_Osemilattice__inf__class_Oinf(_u19448)), _u19451), _u19449))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19448), _u19450), skolem503(_u19451, _u19450, _u19449, _u19448))) )).
% 29.00/29.26 cnf(matrix-7878, plain, ( ~class_Lattices_Osemilattice__sup(_u19453) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19453), _u19454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19453), hAPP(hAPP(c_Finite__Set_Ofold(_u19453, _u19453, c_Lattices_Osemilattice__sup__class_Osup(_u19453)), _u19456), _u19454)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19453), _u19455), _u19456))) | hBOOL(hAPP(hAPP(c_member(_u19453), skolem504(_u19456, _u19455, _u19454, _u19453)), _u19454)) )).
% 29.00/29.26 cnf(matrix-7879, plain, ( ~class_Lattices_Osemilattice__sup(_u19453) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19453), _u19454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19453), hAPP(hAPP(c_Finite__Set_Ofold(_u19453, _u19453, c_Lattices_Osemilattice__sup__class_Osup(_u19453)), _u19456), _u19454)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u19453), _u19455), _u19456))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19453), skolem504(_u19456, _u19455, _u19454, _u19453)), _u19455)) )).
% 29.00/29.26 cnf(matrix-7880, plain, ( ~c_Wellfounded_Owf(_u19467, _u19469) | ~hBOOL(hAPP(hAPP(c_member(_u19467), _u19457), _u19460)) | hBOOL(hAPP(hAPP(c_member(_u19467), skolem505(_u19469, _u19467, _u19460)), _u19460)) )).
% 29.00/29.26 cnf(matrix-7881, plain, ( ~c_Wellfounded_Owf(_u19467, _u19469) | ~hBOOL(hAPP(hAPP(c_member(_u19467), _u19457), _u19460)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19467, _u19467)), hAPP(hAPP(c_Product__Type_OPair(_u19467, _u19467), _u19458), skolem505(_u19469, _u19467, _u19460))), _u19469)) | ~hBOOL(hAPP(hAPP(c_member(_u19467), _u19458), _u19460)) )).
% 29.00/29.26 cnf(matrix-7882, plain, ( c_Wellfounded_Owf(_u19468, _u19470) | hBOOL(hAPP(hAPP(c_member(_u19468), skolem507(_u19470, _u19468)), skolem506(_u19470, _u19468))) )).
% 29.00/29.26 cnf(matrix-7883, plain, ( c_Wellfounded_Owf(_u19468, _u19470) | ~hBOOL(hAPP(hAPP(c_member(_u19468), _u19463), skolem506(_u19470, _u19468))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19468, _u19468)), hAPP(hAPP(c_Product__Type_OPair(_u19468, _u19468), skolem508(_u19470, _u19468, _u19463)), _u19463)), _u19470)) )).
% 29.00/29.26 cnf(matrix-7884, plain, ( c_Wellfounded_Owf(_u19468, _u19470) | ~hBOOL(hAPP(hAPP(c_member(_u19468), _u19463), skolem506(_u19470, _u19468))) | hBOOL(hAPP(hAPP(c_member(_u19468), skolem508(_u19470, _u19468, _u19463)), skolem506(_u19470, _u19468))) )).
% 29.00/29.26 cnf(matrix-7885, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19472), _u19477)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19472), _u19478)) | ( hAPP(_u19476, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19472, tc_HOL_Obool)), _u19477), _u19478)) = hAPP(hAPP(_u19473, hAPP(_u19476, _u19477)), hAPP(_u19476, _u19478))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19471, _u19472, _u19473, _u19474, _u19475, _u19476) )).
% 29.00/29.26 cnf(matrix-7886, plain, ( ( hAPP(hAPP(_u19481, _u19485), _u19485) = _u19485) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19479, _u19480, _u19481, _u19482, _u19483, _u19484) )).
% 29.00/29.26 cnf(matrix-7887, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19487), _u19492)) | ~hBOOL(hAPP(hAPP(c_member(_u19487), _u19493), _u19492)) | ( hAPP(hAPP(_u19488, hAPP(_u19490, _u19493)), hAPP(_u19491, _u19492)) = hAPP(_u19491, _u19492)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19486, _u19487, _u19488, _u19489, _u19490, _u19491) )).
% 29.00/29.26 cnf(matrix-7888, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19495), _u19500)) | ( hAPP(_u19499, hAPP(hAPP(c_Set_Oinsert(_u19495), _u19501), _u19500)) = hAPP(hAPP(_u19496, hAPP(_u19498, _u19501)), hAPP(_u19499, _u19500))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19494, _u19495, _u19496, _u19497, _u19498, _u19499) )).
% 29.00/29.26 cnf(matrix-7889, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19503), _u19508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19503, tc_HOL_Obool)), _u19509), _u19508)) | ( hAPP(hAPP(_u19504, hAPP(_u19507, _u19509)), hAPP(_u19507, _u19508)) = hAPP(_u19507, _u19508)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u19502, _u19503, _u19504, _u19505, _u19506, _u19507) )).
% 29.00/29.26 cnf(matrix-7890, 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)))), _u19511)) = 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)))), _u19512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem509(_u19512, _u19511))) )).
% 29.00/29.26 cnf(matrix-7891, 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)))), _u19511)) = 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)))), _u19512))) | hBOOL(hAPP(_u19511, skolem509(_u19512, _u19511))) | hBOOL(hAPP(_u19512, skolem509(_u19512, _u19511))) )).
% 29.00/29.26 cnf(matrix-7892, 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)))), _u19511)) = 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)))), _u19512))) | ~hBOOL(hAPP(_u19512, skolem509(_u19512, _u19511))) | ~hBOOL(hAPP(_u19511, skolem509(_u19512, _u19511))) )).
% 29.00/29.26 cnf(matrix-7893, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), _u19515), _u19516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19515), hAPP(c_Set_OCollect(_u19514), _u19517))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19516), hAPP(c_Set_OCollect(_u19514), _u19518)))) | hBOOL(hAPP(hAPP(c_member(_u19514), skolem510(_u19518, _u19517, _u19516, _u19515, _u19514)), _u19515)) )).
% 29.00/29.26 cnf(matrix-7894, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), _u19515), _u19516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19515), hAPP(c_Set_OCollect(_u19514), _u19517))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19516), hAPP(c_Set_OCollect(_u19514), _u19518)))) | hBOOL(hAPP(_u19517, skolem510(_u19518, _u19517, _u19516, _u19515, _u19514))) )).
% 29.00/29.26 cnf(matrix-7895, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), _u19515), _u19516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19514, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19515), hAPP(c_Set_OCollect(_u19514), _u19517))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19514, tc_HOL_Obool)), _u19516), hAPP(c_Set_OCollect(_u19514), _u19518)))) | ~hBOOL(hAPP(_u19518, skolem510(_u19518, _u19517, _u19516, _u19515, _u19514))) )).
% 29.00/29.26 cnf(matrix-7896, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19521), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19520, tc_HOL_Obool), _u19522))) | hBOOL(hAPP(hAPP(c_member(_u19520), _u19521), skolem511(_u19522, _u19521, _u19520))) )).
% 29.00/29.26 cnf(matrix-7897, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19521), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19520, tc_HOL_Obool), _u19522))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19520, tc_HOL_Obool)), skolem511(_u19522, _u19521, _u19520)), _u19522)) )).
% 29.00/29.26 cnf(matrix-7898, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19525, _u19526)), _u19527), hAPP(c_Relation_Oconverse(_u19526, _u19525), _u19528))) | ( _u19527 = hAPP(hAPP(c_Product__Type_OPair(_u19525, _u19526), skolem513(_u19528, _u19527, _u19526, _u19525)), skolem512(_u19528, _u19527, _u19526, _u19525))) )).
% 29.00/29.26 cnf(matrix-7899, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19525, _u19526)), _u19527), hAPP(c_Relation_Oconverse(_u19526, _u19525), _u19528))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19526, _u19525)), hAPP(hAPP(c_Product__Type_OPair(_u19526, _u19525), skolem512(_u19528, _u19527, _u19526, _u19525)), skolem513(_u19528, _u19527, _u19526, _u19525))), _u19528)) )).
% 29.00/29.26 cnf(matrix-7900, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19532, _u19533)), _u19534), hAPP(hAPP(c_Relation_Orel__comp(_u19532, _u19535, _u19533), _u19536), _u19537))) | ( _u19534 = hAPP(hAPP(c_Product__Type_OPair(_u19532, _u19533), skolem514(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532)), skolem516(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532))) )).
% 29.00/29.26 cnf(matrix-7901, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19532, _u19533)), _u19534), hAPP(hAPP(c_Relation_Orel__comp(_u19532, _u19535, _u19533), _u19536), _u19537))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19532, _u19535)), hAPP(hAPP(c_Product__Type_OPair(_u19532, _u19535), skolem514(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532)), skolem515(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532))), _u19536)) )).
% 29.00/29.26 cnf(matrix-7902, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19532, _u19533)), _u19534), hAPP(hAPP(c_Relation_Orel__comp(_u19532, _u19535, _u19533), _u19536), _u19537))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19535, _u19533)), hAPP(hAPP(c_Product__Type_OPair(_u19535, _u19533), skolem515(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532)), skolem516(_u19537, _u19536, _u19535, _u19534, _u19533, _u19532))), _u19537)) )).
% 29.00/29.26 cnf(matrix-7903, plain, ( ( c_Nitpick_Oplus__frac(_u19538, _u19539, _u19540) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u19538), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u19538), _u19539), hAPP(c_Nitpick_Odenom(_u19538), _u19540))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u19538), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u19538), tc_Int_Oint), c_Nitpick_Ofrac(_u19538)), 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(_u19538), _u19539))), 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(_u19538), _u19539))))), 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(_u19538), _u19540))), 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(_u19538), _u19540)))))), c_COMBI(tc_Int_Oint)))) )).
% 29.00/29.26 cnf(matrix-7904, plain, ( ( c_Nitpick_Otimes__frac(_u19541, _u19542, _u19543) = hAPP(hAPP(c_Nitpick_Ofrac(_u19541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19541), _u19542)), hAPP(c_Nitpick_Onum(_u19541), _u19543))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u19541), _u19542)), hAPP(c_Nitpick_Odenom(_u19541), _u19543)))) )).
% 29.00/29.26 cnf(matrix-7905, plain, ( ~class_Rings_Oinverse(_u19544) | ~class_Rings_Oring__1(_u19544) | ( c_Nitpick_Oof__frac(_u19545, _u19544, _u19546) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u19544), hAPP(c_Int_Oring__1__class_Oof__int(_u19544), hAPP(c_Nitpick_Onum(_u19545), _u19546))), hAPP(c_Int_Oring__1__class_Oof__int(_u19544), hAPP(c_Nitpick_Odenom(_u19545), _u19546)))) )).
% 29.00/29.26 cnf(matrix-7906, plain, ( ( c_Nitpick_Oinverse__frac(_u19547, _u19548) = hAPP(hAPP(c_Nitpick_Ofrac(_u19547), hAPP(c_Nitpick_Odenom(_u19547), _u19548)), hAPP(c_Nitpick_Onum(_u19547), _u19548))) )).
% 29.00/29.26 cnf(matrix-7907, plain, ( ( c_Nitpick_Ouminus__frac(_u19549, _u19550) = c_Nitpick_OAbs__Frac(_u19549, 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(_u19549), _u19550))), hAPP(c_Nitpick_Odenom(_u19549), _u19550)))) )).
% 29.00/29.26 cnf(matrix-7908, plain, ( ~c_Nitpick_Oless__frac(_u19554, _u19556, _u19558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19554), c_Nitpick_Oplus__frac(_u19554, _u19556, c_Nitpick_Ouminus__frac(_u19554, _u19558)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.26 cnf(matrix-7909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19555), c_Nitpick_Oplus__frac(_u19555, _u19557, c_Nitpick_Ouminus__frac(_u19555, _u19559)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u19555, _u19557, _u19559) )).
% 29.00/29.26 cnf(matrix-7910, plain, ( ~c_Nitpick_Oless__eq__frac(_u19563, _u19565, _u19567) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19563), c_Nitpick_Oplus__frac(_u19563, _u19565, c_Nitpick_Ouminus__frac(_u19563, _u19567)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 29.00/29.26 cnf(matrix-7911, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u19564), c_Nitpick_Oplus__frac(_u19564, _u19566, c_Nitpick_Ouminus__frac(_u19564, _u19568)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u19564, _u19566, _u19568) )).
% 29.00/29.26 cnf(matrix-7912, plain, ( ( c_Nitpick_Odenom(_u19569) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u19569, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u19569))) )).
% 29.00/29.26 cnf(matrix-7913, plain, ( ( c_Nitpick_Onum(_u19570) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u19570, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u19570))) )).
% 29.00/29.26 cnf(matrix-7914, plain, ( ~class_Rings_Olinordered__semidom(_u19572) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19572), c_Groups_Ozero__class_Ozero(_u19572)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u19573, _u19572), _u19575), _u19574))) | hBOOL(hAPP(hAPP(c_member(_u19573), skolem517(_u19575, _u19574, _u19573, _u19572)), _u19574)) )).
% 29.00/29.26 cnf(matrix-7915, plain, ( ~class_Rings_Olinordered__semidom(_u19572) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19572), c_Groups_Ozero__class_Ozero(_u19572)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u19573, _u19572), _u19575), _u19574))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19572), c_Groups_Ozero__class_Ozero(_u19572)), hAPP(_u19575, skolem517(_u19575, _u19574, _u19573, _u19572)))) )).
% 29.00/29.26 cnf(matrix-7916, plain, ( ~c_List_Olist__all(_u19581, _u19583, _u19585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19576), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19581)), _u19585))) | hBOOL(hAPP(_u19583, hAPP(hAPP(c_List_Onth(_u19581), _u19585), _u19576))) )).
% 29.00/29.26 cnf(matrix-7917, plain, ( c_List_Olist__all(_u19582, _u19584, _u19586) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem518(_u19586, _u19584, _u19582)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19582)), _u19586))) )).
% 29.00/29.26 cnf(matrix-7918, plain, ( c_List_Olist__all(_u19582, _u19584, _u19586) | ~hBOOL(hAPP(_u19584, hAPP(hAPP(c_List_Onth(_u19582), _u19586), skolem518(_u19586, _u19584, _u19582)))) )).
% 29.00/29.26 cnf(matrix-7919, plain, ( ~c_List_Olist__all(_u19591, _u19593, hAPP(hAPP(c_List_Olist_OCons(_u19591), _u19595), _u19597)) | hBOOL(hAPP(_u19593, _u19595)) )).
% 29.00/29.26 cnf(matrix-7920, plain, ( ~c_List_Olist__all(_u19591, _u19593, hAPP(hAPP(c_List_Olist_OCons(_u19591), _u19595), _u19597)) | c_List_Olist__all(_u19591, _u19593, _u19597) )).
% 29.00/29.26 cnf(matrix-7921, plain, ( ~hBOOL(hAPP(_u19594, _u19596)) | ~c_List_Olist__all(_u19592, _u19594, _u19598) | c_List_Olist__all(_u19592, _u19594, hAPP(hAPP(c_List_Olist_OCons(_u19592), _u19596), _u19598)) )).
% 29.00/29.26 cnf(matrix-7922, plain, ( ~c_List_Olist__all(_u19603, _u19605, hAPP(hAPP(c_List_Oappend(_u19603), _u19607), _u19609)) | c_List_Olist__all(_u19603, _u19605, _u19607) )).
% 29.00/29.26 cnf(matrix-7923, plain, ( ~c_List_Olist__all(_u19603, _u19605, hAPP(hAPP(c_List_Oappend(_u19603), _u19607), _u19609)) | c_List_Olist__all(_u19603, _u19605, _u19609) )).
% 29.00/29.26 cnf(matrix-7924, plain, ( ~c_List_Olist__all(_u19604, _u19606, _u19608) | ~c_List_Olist__all(_u19604, _u19606, _u19610) | c_List_Olist__all(_u19604, _u19606, hAPP(hAPP(c_List_Oappend(_u19604), _u19608), _u19610)) )).
% 29.00/29.26 cnf(matrix-7925, plain, ( ~c_List_Olist__all(_u19616, _u19618, _u19620) | ~hBOOL(hAPP(hAPP(c_member(_u19616), _u19611), hAPP(c_List_Oset(_u19616), _u19620))) | hBOOL(hAPP(_u19618, _u19611)) )).
% 29.00/29.26 cnf(matrix-7926, plain, ( c_List_Olist__all(_u19617, _u19619, _u19621) | hBOOL(hAPP(hAPP(c_member(_u19617), skolem519(_u19621, _u19619, _u19617)), hAPP(c_List_Oset(_u19617), _u19621))) )).
% 29.00/29.26 cnf(matrix-7927, plain, ( c_List_Olist__all(_u19617, _u19619, _u19621) | ~hBOOL(hAPP(_u19619, skolem519(_u19621, _u19619, _u19617))) )).
% 29.00/29.26 cnf(matrix-7928, plain, ( ~c_List_Olist__all(_u19625, _u19627, hAPP(c_List_Orev(_u19625), _u19629)) | c_List_Olist__all(_u19625, _u19627, _u19629) )).
% 29.00/29.26 cnf(matrix-7929, plain, ( ~c_List_Olist__all(_u19626, _u19628, _u19630) | c_List_Olist__all(_u19626, _u19628, hAPP(c_List_Orev(_u19626), _u19630)) )).
% 29.00/29.26 cnf(matrix-7930, plain, ( c_List_Olist__all(_u19631, _u19632, c_List_Olist_ONil(_u19631)) )).
% 29.00/29.26 cnf(matrix-7931, plain, ( c_List_Olist__all(_u19638, _u19642, _u19640) | hBOOL(hAPP(hAPP(c_member(_u19638), skolem520(_u19642, _u19640, _u19638)), hAPP(c_List_Oset(_u19638), _u19640))) )).
% 29.00/29.26 cnf(matrix-7932, plain, ( c_List_Olist__all(_u19638, _u19642, _u19640) | ~hBOOL(hAPP(_u19642, skolem520(_u19642, _u19640, _u19638))) )).
% 29.00/29.26 cnf(matrix-7933, plain, ( ~c_List_Olist__all(_u19639, _u19643, _u19641) | ~hBOOL(hAPP(hAPP(c_member(_u19639), _u19634), hAPP(c_List_Oset(_u19639), _u19641))) | hBOOL(hAPP(_u19643, _u19634)) )).
% 29.00/29.26 cnf(matrix-7934, plain, ( ~c_List_Olist__all(_u19649, _u19651, _u19653) | ~hBOOL(hAPP(hAPP(c_member(_u19649), _u19644), hAPP(c_List_Oset(_u19649), _u19653))) | hBOOL(hAPP(_u19651, _u19644)) )).
% 29.00/29.26 cnf(matrix-7935, plain, ( c_List_Olist__all(_u19650, _u19652, _u19654) | hBOOL(hAPP(hAPP(c_member(_u19650), skolem521(_u19654, _u19652, _u19650)), hAPP(c_List_Oset(_u19650), _u19654))) )).
% 29.00/29.26 cnf(matrix-7936, plain, ( c_List_Olist__all(_u19650, _u19652, _u19654) | ~hBOOL(hAPP(_u19652, skolem521(_u19654, _u19652, _u19650))) )).
% 29.00/29.26 cnf(matrix-7937, plain, ( ~c_List_Olist__ex1(_u19659, _u19661, hAPP(hAPP(c_List_Olist_OCons(_u19659), _u19663), _u19665)) | ~hBOOL(hAPP(_u19661, _u19663)) | c_List_Olist__all(_u19659, hAPP(hAPP(c_COMBS(_u19659, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19659), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19659), c_fNot), _u19661))), hAPP(c_fequal, _u19663)), _u19665) )).
% 29.00/29.26 cnf(matrix-7938, plain, ( ~c_List_Olist__ex1(_u19659, _u19661, hAPP(hAPP(c_List_Olist_OCons(_u19659), _u19663), _u19665)) | hBOOL(hAPP(_u19661, _u19663)) | c_List_Olist__ex1(_u19659, _u19661, _u19665) )).
% 29.00/29.26 cnf(matrix-7939, plain, ( c_List_Olist__ex1(_u19660, _u19662, hAPP(hAPP(c_List_Olist_OCons(_u19660), _u19664), _u19666)) | hBOOL(hAPP(_u19662, _u19664)) | ~c_List_Olist__ex1(_u19660, _u19662, _u19666) )).
% 29.00/29.26 cnf(matrix-7940, plain, ( c_List_Olist__ex1(_u19660, _u19662, hAPP(hAPP(c_List_Olist_OCons(_u19660), _u19664), _u19666)) | ~c_List_Olist__all(_u19660, hAPP(hAPP(c_COMBS(_u19660, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19660), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19660), c_fNot), _u19662))), hAPP(c_fequal, _u19664)), _u19666) | ~hBOOL(hAPP(_u19662, _u19664)) )).
% 29.00/29.26 cnf(matrix-7941, plain, ( c_List_Olist__ex1(_u19660, _u19662, hAPP(hAPP(c_List_Olist_OCons(_u19660), _u19664), _u19666)) | ~c_List_Olist__all(_u19660, hAPP(hAPP(c_COMBS(_u19660, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19660), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19660), c_fNot), _u19662))), hAPP(c_fequal, _u19664)), _u19666) | ~c_List_Olist__ex1(_u19660, _u19662, _u19666) )).
% 29.00/29.26 cnf(matrix-7942, plain, ( ( c_Product__Type_Ointernal__split(_u19667, _u19668, _u19669) = c_Product__Type_Oprod_Oprod__case(_u19667, _u19668, _u19669)) )).
% 29.00/29.26 cnf(matrix-7943, plain, ( ~c_List_Olist__ex1(_u19670, _u19671, c_List_Olist_ONil(_u19670)) )).
% 29.00/29.26 cnf(matrix-7944, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u19672, _u19673, _u19674), _u19675), hAPP(hAPP(c_Product__Type_OPair(_u19672, _u19673), _u19676), _u19677)) = hAPP(hAPP(_u19675, _u19676), _u19677)) )).
% 29.00/29.26 cnf(matrix-7945, plain, ( ~c_List_Olist__ex1(_u19685, _u19687, _u19689) | hBOOL(hAPP(hAPP(c_member(_u19685), skolem522(_u19689, _u19687, _u19685)), hAPP(c_List_Oset(_u19685), _u19689))) )).
% 29.00/29.26 cnf(matrix-7946, plain, ( ~c_List_Olist__ex1(_u19685, _u19687, _u19689) | hBOOL(hAPP(_u19687, skolem522(_u19689, _u19687, _u19685))) )).
% 29.00/29.26 cnf(matrix-7947, plain, ( ~c_List_Olist__ex1(_u19685, _u19687, _u19689) | ~hBOOL(hAPP(hAPP(c_member(_u19685), _u19678), hAPP(c_List_Oset(_u19685), _u19689))) | ~hBOOL(hAPP(_u19687, _u19678)) | ( _u19678 = skolem522(_u19689, _u19687, _u19685)) )).
% 29.00/29.26 cnf(matrix-7948, plain, ( c_List_Olist__ex1(_u19686, _u19688, _u19690) | ~hBOOL(hAPP(hAPP(c_member(_u19686), _u19681), hAPP(c_List_Oset(_u19686), _u19690))) | ~hBOOL(hAPP(_u19688, _u19681)) | hBOOL(hAPP(hAPP(c_member(_u19686), skolem523(_u19690, _u19688, _u19686, _u19681)), hAPP(c_List_Oset(_u19686), _u19690))) )).
% 29.00/29.26 cnf(matrix-7949, plain, ( c_List_Olist__ex1(_u19686, _u19688, _u19690) | ~hBOOL(hAPP(hAPP(c_member(_u19686), _u19681), hAPP(c_List_Oset(_u19686), _u19690))) | ~hBOOL(hAPP(_u19688, _u19681)) | hBOOL(hAPP(_u19688, skolem523(_u19690, _u19688, _u19686, _u19681))) )).
% 29.00/29.26 cnf(matrix-7950, plain, ( c_List_Olist__ex1(_u19686, _u19688, _u19690) | ~hBOOL(hAPP(hAPP(c_member(_u19686), _u19681), hAPP(c_List_Oset(_u19686), _u19690))) | ~hBOOL(hAPP(_u19688, _u19681)) | ( skolem523(_u19690, _u19688, _u19686, _u19681) != _u19681) )).
% 29.00/29.26 cnf(matrix-7951, plain, ( ~class_Rings_Olinordered__semidom(_u19692) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19692), c_Groups_Ozero__class_Ozero(_u19692)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u19693, _u19692), _u19695), _u19694))) | hBOOL(hAPP(hAPP(c_member(_u19693), skolem524(_u19695, _u19694, _u19693, _u19692)), _u19694)) )).
% 29.00/29.26 cnf(matrix-7952, plain, ( ~class_Rings_Olinordered__semidom(_u19692) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19692), c_Groups_Ozero__class_Ozero(_u19692)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u19693, _u19692), _u19695), _u19694))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19692), c_Groups_Ozero__class_Ozero(_u19692)), hAPP(_u19695, skolem524(_u19695, _u19694, _u19693, _u19692)))) )).
% 29.00/29.26 cnf(matrix-7953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem525(_u19698, _u19697)), hAPP(_u19697, skolem525(_u19698, _u19697)))) | 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)), _u19697)), _u19698)))) )).
% 29.00/29.26 cnf(matrix-7954, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), _u19702)) | ~hBOOL(hAPP(_u19703, c_Orderings_Obot__class_Obot(tc_fun(_u19701, tc_HOL_Obool)))) | hBOOL(hAPP(_u19703, _u19702)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), skolem527(_u19703, _u19702, _u19701))) )).
% 29.00/29.26 cnf(matrix-7955, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), _u19702)) | ~hBOOL(hAPP(_u19703, c_Orderings_Obot__class_Obot(tc_fun(_u19701, tc_HOL_Obool)))) | hBOOL(hAPP(_u19703, _u19702)) | ~hBOOL(hAPP(hAPP(c_member(_u19701), skolem526(_u19703, _u19702, _u19701)), skolem527(_u19703, _u19702, _u19701))) )).
% 29.00/29.26 cnf(matrix-7956, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), _u19702)) | ~hBOOL(hAPP(_u19703, c_Orderings_Obot__class_Obot(tc_fun(_u19701, tc_HOL_Obool)))) | hBOOL(hAPP(_u19703, _u19702)) | hBOOL(hAPP(_u19703, skolem527(_u19703, _u19702, _u19701))) )).
% 29.00/29.26 cnf(matrix-7957, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19701), _u19702)) | ~hBOOL(hAPP(_u19703, c_Orderings_Obot__class_Obot(tc_fun(_u19701, tc_HOL_Obool)))) | hBOOL(hAPP(_u19703, _u19702)) | ~hBOOL(hAPP(_u19703, hAPP(hAPP(c_Set_Oinsert(_u19701), skolem526(_u19703, _u19702, _u19701)), skolem527(_u19703, _u19702, _u19701)))) )).
% 29.00/29.26 cnf(matrix-7958, 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)) )).
% 29.00/29.26 cnf(matrix-7959, plain, ( ( _u19709 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19711, _u19713, _u19715, _u19717), _u19709) = c_Lazy__Sequence_Ohit__bound(_u19713)) )).
% 29.00/29.26 cnf(matrix-7960, plain, ( ( _u19710 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19712, _u19714, _u19716, _u19718), _u19710) = c_Lazy__Sequence_Ohb__bind(_u19712, _u19714, hAPP(_u19716, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19710), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19712, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19714))), _u19718), _u19710))) )).
% 29.00/29.26 cnf(matrix-7961, plain, ( ( _u19724 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19726, _u19728, _u19730, _u19732), _u19724) = c_Lazy__Sequence_Oempty(_u19728)) )).
% 29.00/29.26 cnf(matrix-7962, plain, ( ( _u19725 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19727, _u19729, _u19731, _u19733), _u19725) = hAPP(c_Lazy__Sequence_Obind(_u19727, _u19729, hAPP(_u19731, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19725), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19727, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19729)), _u19733), _u19725))) )).
% 29.00/29.26 cnf(matrix-7963, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19734, _u19735, _u19736, _u19737, _u19738, _u19739, _u19740) = c_New__DSequence_Oneg__decr__bind(_u19734, _u19735, hAPP(hAPP(hAPP(_u19736, _u19738), _u19739), _u19740), hAPP(hAPP(c_COMBC(_u19734, 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(_u19735)))), hAPP(hAPP(c_COMBC(_u19734, 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(_u19735))))), hAPP(hAPP(c_COMBC(_u19734, 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(_u19735)))))), _u19737), _u19738)), _u19739)), _u19740))) )).
% 29.00/29.26 cnf(matrix-7964, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19741, _u19742, _u19743, _u19744, _u19745, _u19746, _u19747) = c_New__DSequence_Opos__decr__bind(_u19741, _u19742, hAPP(hAPP(hAPP(_u19743, _u19745), _u19746), _u19747), hAPP(hAPP(c_COMBC(_u19741, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19742))), hAPP(hAPP(c_COMBC(_u19741, 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(_u19742)))), hAPP(hAPP(c_COMBC(_u19741, 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(_u19742))))), _u19744), _u19745)), _u19746)), _u19747))) )).
% 29.00/29.26 cnf(matrix-7965, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19748, _u19749, _u19750, _u19751), _u19752) = c_Lazy__Sequence_Ohb__bind(_u19748, _u19749, hAPP(_u19750, _u19752), hAPP(hAPP(c_COMBC(_u19748, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19749))), _u19751), _u19752))) )).
% 29.00/29.26 cnf(matrix-7966, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u19753), _u19754) = c_Lazy__Sequence_Oempty(_u19753)) )).
% 29.00/29.26 cnf(matrix-7967, plain, ( ( c_New__Random__Sequence_Opos__empty(_u19755, _u19756, _u19757, _u19758) = c_New__DSequence_Opos__empty(_u19755)) )).
% 29.00/29.26 cnf(matrix-7968, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19759, _u19760, _u19761, _u19762), _u19763), _u19764), _u19765) = c_New__DSequence_Oneg__bind(_u19759, _u19760, hAPP(hAPP(hAPP(_u19761, _u19763), _u19764), _u19765), hAPP(hAPP(c_COMBC(_u19759, 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(_u19760)))), hAPP(hAPP(c_COMBC(_u19759, 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(_u19760))))), hAPP(hAPP(c_COMBC(_u19759, 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(_u19760)))))), _u19762), _u19763)), _u19764)), _u19765))) )).
% 29.00/29.26 cnf(matrix-7969, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u19766, _u19767, _u19768, _u19769), _u19770) = hAPP(c_Lazy__Sequence_Obind(_u19766, _u19767, hAPP(_u19768, _u19770)), hAPP(hAPP(c_COMBC(_u19766, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19767)), _u19769), _u19770))) )).
% 29.00/29.26 cnf(matrix-7970, plain, ( ( c_New__Random__Sequence_Oneg__map(_u19771, _u19772, _u19773, _u19774) = c_New__Random__Sequence_Oneg__bind(_u19771, _u19772, _u19774, hAPP(c_Fun_Ocomp(_u19772, 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(_u19772)))))), _u19771, c_New__Random__Sequence_Oneg__single(_u19772)), _u19773))) )).
% 29.00/29.26 cnf(matrix-7971, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19775), _u19776), _u19777), _u19778), _u19779) = c_New__DSequence_Oneg__single(_u19775, _u19776)) )).
% 29.00/29.26 cnf(matrix-7972, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19780, _u19781, _u19782, _u19783), _u19784), _u19785), _u19786) = c_New__DSequence_Opos__bind(_u19780, _u19781, hAPP(hAPP(hAPP(_u19782, _u19784), _u19785), _u19786), hAPP(hAPP(c_COMBC(_u19780, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19781))), hAPP(hAPP(c_COMBC(_u19780, 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(_u19781)))), hAPP(hAPP(c_COMBC(_u19780, 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(_u19781))))), _u19783), _u19784)), _u19785)), _u19786))) )).
% 29.00/29.26 cnf(matrix-7973, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u19787, _u19788), _u19789) = c_Lazy__Sequence_Ohb__single(_u19787, _u19788)) )).
% 29.00/29.26 cnf(matrix-7974, plain, ( ( c_New__Random__Sequence_Opos__map(_u19790, _u19791, _u19792, _u19793) = c_New__Random__Sequence_Opos__bind(_u19790, _u19791, _u19793, hAPP(c_Fun_Ocomp(_u19791, 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(_u19791))))), _u19790, c_New__Random__Sequence_Opos__single(_u19791)), _u19792))) )).
% 29.00/29.26 cnf(matrix-7975, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19794), _u19795), _u19796), _u19797), _u19798) = c_New__DSequence_Opos__single(_u19794, _u19795)) )).
% 29.00/29.26 cnf(matrix-7976, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19799)), c_List_Osplice(_u19799, _u19800, _u19801)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19799)), _u19800)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19799)), _u19801))) )).
% 29.00/29.26 cnf(matrix-7977, plain, ( ( c_List_Osplice(_u19802, c_List_Olist_ONil(_u19802), _u19803) = _u19803) )).
% 29.00/29.26 cnf(matrix-7978, plain, ( ( c_List_Osplice(_u19804, _u19805, c_List_Olist_ONil(_u19804)) = _u19805) )).
% 29.00/29.26 cnf(matrix-7979, plain, ( ( c_List_Osplice(_u19806, hAPP(hAPP(c_List_Olist_OCons(_u19806), _u19807), _u19808), hAPP(hAPP(c_List_Olist_OCons(_u19806), _u19809), _u19810)) = hAPP(hAPP(c_List_Olist_OCons(_u19806), _u19807), hAPP(hAPP(c_List_Olist_OCons(_u19806), _u19809), c_List_Osplice(_u19806, _u19808, _u19810)))) )).
% 29.00/29.26 cnf(matrix-7980, plain, ( ( c_List_Osplice(_u19811, hAPP(hAPP(c_List_Olist_OCons(_u19811), _u19812), _u19813), c_List_Olist_ONil(_u19811)) = hAPP(hAPP(c_List_Olist_OCons(_u19811), _u19812), _u19813)) )).
% 29.00/29.26 cnf(matrix-7981, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u19814, _u19815), _u19816) = hAPP(c_Lazy__Sequence_Osingle(_u19814), _u19815)) )).
% 29.00/29.26 cnf(matrix-7982, plain, ( ~c_Wellfounded_Oacyclic(_u19819, hAPP(c_Set_OCollect(tc_prod(_u19819, _u19819)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19819, _u19819, tc_HOL_Obool), c_Predicate_Oconversep(_u19819, _u19819, _u19821)))) | c_Wellfounded_Oacyclic(_u19819, hAPP(c_Set_OCollect(tc_prod(_u19819, _u19819)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19819, _u19819, tc_HOL_Obool), _u19821))) )).
% 29.00/29.26 cnf(matrix-7983, plain, ( ~c_Wellfounded_Oacyclic(_u19820, hAPP(c_Set_OCollect(tc_prod(_u19820, _u19820)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19820, _u19820, tc_HOL_Obool), _u19822))) | c_Wellfounded_Oacyclic(_u19820, hAPP(c_Set_OCollect(tc_prod(_u19820, _u19820)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19820, _u19820, tc_HOL_Obool), c_Predicate_Oconversep(_u19820, _u19820, _u19822)))) )).
% 29.00/29.26 cnf(matrix-7984, plain, ( ( c_Predicate_Oconversep(_u19823, _u19824, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19823, tc_fun(_u19824, tc_HOL_Obool))), _u19825), _u19826)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19824, tc_fun(_u19823, tc_HOL_Obool))), c_Predicate_Oconversep(_u19823, _u19824, _u19825)), c_Predicate_Oconversep(_u19823, _u19824, _u19826))) )).
% 29.00/29.26 cnf(matrix-7985, plain, ( ( c_Predicate_Oconversep(_u19827, _u19828, c_Predicate_Opred__comp(_u19827, _u19829, _u19828, _u19830, _u19831)) = c_Predicate_Opred__comp(_u19828, _u19829, _u19827, c_Predicate_Oconversep(_u19829, _u19828, _u19831), c_Predicate_Oconversep(_u19827, _u19829, _u19830))) )).
% 29.00/29.26 cnf(matrix-7986, plain, ( ( c_Predicate_Oconversep(_u19832, _u19833, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19832, tc_fun(_u19833, tc_HOL_Obool))), _u19834), _u19835)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19833, tc_fun(_u19832, tc_HOL_Obool))), c_Predicate_Oconversep(_u19832, _u19833, _u19834)), c_Predicate_Oconversep(_u19832, _u19833, _u19835))) )).
% 29.00/29.26 cnf(matrix-7987, plain, ( ( c_Predicate_Oconversep(_u19836, _u19836, c_fequal) = c_fequal) )).
% 29.00/29.26 cnf(matrix-7988, plain, ( ( c_Predicate_Oconversep(_u19837, _u19838, c_Predicate_Oconversep(_u19838, _u19837, _u19839)) = _u19839) )).
% 29.00/29.26 cnf(matrix-7989, plain, ( hBOOL(hAPP(hAPP(_u19849, _u19853), _u19851)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19845, _u19847, _u19849), _u19851), _u19853)) )).
% 29.00/29.26 cnf(matrix-7990, plain, ( ~hBOOL(hAPP(hAPP(_u19850, _u19854), _u19852)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19846, _u19848, _u19850), _u19852), _u19854)) )).
% 29.00/29.26 cnf(matrix-7991, plain, ( hBOOL(hAPP(hAPP(_u19864, _u19868), _u19866)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19860, _u19862, _u19864), _u19866), _u19868)) )).
% 29.00/29.26 cnf(matrix-7992, plain, ( ~hBOOL(hAPP(hAPP(_u19865, _u19869), _u19867)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19861, _u19863, _u19865), _u19867), _u19869)) )).
% 29.00/29.26 cnf(matrix-7993, plain, ( ~hBOOL(hAPP(hAPP(_u19870, _u19871), _u19872)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19873, _u19874, _u19870), _u19872), _u19871)) )).
% 29.00/29.26 cnf(matrix-7994, plain, ( hBOOL(hAPP(hAPP(_u19877, _u19879), _u19878)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19875, _u19876, _u19877), _u19878), _u19879)) )).
% 29.00/29.26 cnf(matrix-7995, plain, ( ( _u19885 != _u19887) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19883, _u19883, hAPP(hAPP(c_COMBB(tc_fun(_u19883, tc_HOL_Obool), tc_fun(_u19883, tc_HOL_Obool), _u19883), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19883), c_fNot)), c_fequal)), _u19885), _u19887)) )).
% 29.00/29.26 cnf(matrix-7996, plain, ( ( _u19886 = _u19888) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19884, _u19884, hAPP(hAPP(c_COMBB(tc_fun(_u19884, tc_HOL_Obool), tc_fun(_u19884, tc_HOL_Obool), _u19884), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19884), c_fNot)), c_fequal)), _u19886), _u19888)) )).
% 29.00/29.26 cnf(matrix-7997, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19894, _u19896, hAPP(hAPP(c_COMBC(_u19894, tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_fun(_u19896, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19896, tc_fun(tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_fun(_u19896, tc_HOL_Obool)), _u19894), c_COMBC(_u19896, tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19896, tc_prod(_u19894, _u19896)), tc_fun(_u19896, tc_fun(tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_HOL_Obool)), _u19894), hAPP(c_COMBB(tc_prod(_u19894, _u19896), tc_fun(tc_fun(tc_prod(_u19894, _u19896), tc_HOL_Obool), tc_HOL_Obool), _u19896), c_member(tc_prod(_u19894, _u19896)))), c_Product__Type_OPair(_u19894, _u19896)))), _u19898)), _u19900), _u19902)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19896, _u19894)), hAPP(hAPP(c_Product__Type_OPair(_u19896, _u19894), _u19900), _u19902)), hAPP(c_Relation_Oconverse(_u19894, _u19896), _u19898))) )).
% 29.00/29.26 cnf(matrix-7998, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19897, _u19895)), hAPP(hAPP(c_Product__Type_OPair(_u19897, _u19895), _u19901), _u19903)), hAPP(c_Relation_Oconverse(_u19895, _u19897), _u19899))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19895, _u19897, hAPP(hAPP(c_COMBC(_u19895, tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_fun(_u19897, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19897, tc_fun(tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_fun(_u19897, tc_HOL_Obool)), _u19895), c_COMBC(_u19897, tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19897, tc_prod(_u19895, _u19897)), tc_fun(_u19897, tc_fun(tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_HOL_Obool)), _u19895), hAPP(c_COMBB(tc_prod(_u19895, _u19897), tc_fun(tc_fun(tc_prod(_u19895, _u19897), tc_HOL_Obool), tc_HOL_Obool), _u19897), c_member(tc_prod(_u19895, _u19897)))), c_Product__Type_OPair(_u19895, _u19897)))), _u19899)), _u19901), _u19903)) )).
% 29.00/29.26 cnf(matrix-7999, plain, ( ( c_Lazy__Sequence_Oproduct(_u19904, _u19905, _u19906, _u19907) = hAPP(c_Lazy__Sequence_Obind(_u19904, tc_prod(_u19904, _u19905), _u19906), hAPP(hAPP(c_COMBB(tc_fun(_u19905, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19904, _u19905))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19904, _u19905)), _u19904), c_Lazy__Sequence_Obind(_u19905, tc_prod(_u19904, _u19905), _u19907)), hAPP(hAPP(c_COMBB(tc_fun(_u19905, tc_prod(_u19904, _u19905)), tc_fun(_u19905, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19904, _u19905))), _u19904), hAPP(c_COMBB(tc_prod(_u19904, _u19905), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19904, _u19905)), _u19905), c_Lazy__Sequence_Osingle(tc_prod(_u19904, _u19905)))), c_Product__Type_OPair(_u19904, _u19905))))) )).
% 29.00/29.26 cnf(matrix-8000, plain, ( ( _u19908 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19909), c_List_Oreplicate(_u19909, _u19908, _u19910)) = c_List_Oreplicate(_u19909, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19908), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19910)) )).
% 29.00/29.26 cnf(matrix-8001, plain, ( ( c_List_Oreplicate(_u19911, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19912) = c_List_Olist_ONil(_u19911)) )).
% 29.00/29.26 cnf(matrix-8002, plain, ( ( _u19918 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19916) != c_List_Oreplicate(_u19916, _u19918, _u19920)) )).
% 29.00/29.26 cnf(matrix-8003, plain, ( ( _u19919 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19917) = c_List_Oreplicate(_u19917, _u19919, _u19921)) )).
% 29.00/29.26 cnf(matrix-8004, plain, ( ( _u19927 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19925, _u19927, _u19929) != c_List_Olist_ONil(_u19925)) )).
% 29.00/29.26 cnf(matrix-8005, plain, ( ( _u19928 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19926, _u19928, _u19930) = c_List_Olist_ONil(_u19926)) )).
% 29.00/29.26 cnf(matrix-8006, plain, ( ( c_List_Oconcat(_u19931, c_List_Oreplicate(tc_List_Olist(_u19931), _u19932, c_List_Olist_ONil(_u19931))) = c_List_Olist_ONil(_u19931)) )).
% 29.00/29.26 cnf(matrix-8007, plain, ( ~hBOOL(hAPP(_u19937, _u19939)) | ( hAPP(c_List_Ofilter(_u19941, _u19937), c_List_Oreplicate(_u19941, _u19943, _u19939)) = c_List_Oreplicate(_u19941, _u19943, _u19939)) )).
% 29.00/29.26 cnf(matrix-8008, plain, ( hBOOL(hAPP(_u19938, _u19940)) | ( hAPP(c_List_Ofilter(_u19942, _u19938), c_List_Oreplicate(_u19942, _u19944, _u19940)) = c_List_Olist_ONil(_u19942)) )).
% 29.00/29.26 cnf(matrix-8009, plain, ( ( hAPP(hAPP(c_List_Omap(_u19945, _u19946), hAPP(c_COMBK(_u19946, _u19945), _u19947)), _u19948) = c_List_Oreplicate(_u19946, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19945)), _u19948), _u19947)) )).
% 29.00/29.26 cnf(matrix-8010, plain, ( ( hAPP(hAPP(c_List_Omap(_u19949, _u19950), _u19951), c_List_Oreplicate(_u19949, _u19952, _u19953)) = c_List_Oreplicate(_u19950, _u19952, hAPP(_u19951, _u19953))) )).
% 29.00/29.26 cnf(matrix-8011, plain, ( ( hAPP(c_List_Orev(_u19954), c_List_Oreplicate(_u19954, _u19955, _u19956)) = c_List_Oreplicate(_u19954, _u19955, _u19956)) )).
% 29.00/29.26 cnf(matrix-8012, plain, ( ( c_List_Oreplicate(_u19957, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19957)), hAPP(c_List_Ofilter(_u19957, hAPP(c_fequal, _u19958)), _u19959)), _u19958) = hAPP(c_List_Ofilter(_u19957, hAPP(c_fequal, _u19958)), _u19959)) )).
% 29.00/29.26 cnf(matrix-8013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19960), _u19961)) | ( hAPP(hAPP(c_List_Onth(_u19962), c_List_Oreplicate(_u19962, _u19961, _u19963)), _u19960) = _u19963) )).
% 29.00/29.26 cnf(matrix-8014, plain, ( ( c_List_Oreplicate(_u19969, _u19971, _u19973) != c_List_Oreplicate(_u19969, _u19975, _u19977)) | ( _u19971 = _u19975) )).
% 29.00/29.26 cnf(matrix-8015, plain, ( ( c_List_Oreplicate(_u19969, _u19971, _u19973) != c_List_Oreplicate(_u19969, _u19975, _u19977)) | ( _u19971 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19973 = _u19977) )).
% 29.00/29.26 cnf(matrix-8016, plain, ( ( c_List_Oreplicate(_u19970, _u19972, _u19974) = c_List_Oreplicate(_u19970, _u19976, _u19978)) | ( _u19972 != _u19976) | ( _u19972 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-8017, plain, ( ( c_List_Oreplicate(_u19970, _u19972, _u19974) = c_List_Oreplicate(_u19970, _u19976, _u19978)) | ( _u19972 != _u19976) | ( _u19974 != _u19978) )).
% 29.00/29.26 cnf(matrix-8018, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19979)), c_List_Oreplicate(_u19979, _u19980, _u19981)) = _u19980) )).
% 29.00/29.26 cnf(matrix-8019, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19982, _u19983), c_List_Oreplicate(_u19982, _u19984, _u19985)), c_List_Oreplicate(_u19983, _u19986, _u19987)) = c_List_Oreplicate(tc_prod(_u19982, _u19983), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19984), _u19986), hAPP(hAPP(c_Product__Type_OPair(_u19982, _u19983), _u19985), _u19987))) )).
% 29.00/29.26 cnf(matrix-8020, plain, ( hBOOL(hAPP(_u20000, _u19998)) | ( _u19996 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19994), skolem528(_u20000, _u19998, _u19996, _u19994)), hAPP(c_List_Oset(_u19994), c_List_Oreplicate(_u19994, _u19996, _u19998)))) )).
% 29.00/29.26 cnf(matrix-8021, plain, ( hBOOL(hAPP(_u20000, _u19998)) | ( _u19996 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u20000, skolem528(_u20000, _u19998, _u19996, _u19994))) )).
% 29.00/29.26 cnf(matrix-8022, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19995), _u19989), hAPP(c_List_Oset(_u19995), c_List_Oreplicate(_u19995, _u19997, _u19999)))) | hBOOL(hAPP(_u20001, _u19989)) | ~hBOOL(hAPP(_u20001, _u19999)) )).
% 29.00/29.26 cnf(matrix-8023, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19995), _u19989), hAPP(c_List_Oset(_u19995), c_List_Oreplicate(_u19995, _u19997, _u19999)))) | hBOOL(hAPP(_u20001, _u19989)) | ( _u19997 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-8024, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20008), _u20002), hAPP(c_List_Oset(_u20008), c_List_Oreplicate(_u20008, _u20010, _u20012)))) | ~hBOOL(hAPP(_u20014, _u20002)) | hBOOL(hAPP(_u20014, _u20012)) )).
% 29.00/29.26 cnf(matrix-8025, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20008), _u20002), hAPP(c_List_Oset(_u20008), c_List_Oreplicate(_u20008, _u20010, _u20012)))) | ~hBOOL(hAPP(_u20014, _u20002)) | ( _u20010 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-8026, plain, ( ~hBOOL(hAPP(_u20015, _u20013)) | ( _u20011 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20009), skolem529(_u20015, _u20013, _u20011, _u20009)), hAPP(c_List_Oset(_u20009), c_List_Oreplicate(_u20009, _u20011, _u20013)))) )).
% 29.00/29.26 cnf(matrix-8027, plain, ( ~hBOOL(hAPP(_u20015, _u20013)) | ( _u20011 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u20015, skolem529(_u20015, _u20013, _u20011, _u20009))) )).
% 29.00/29.26 cnf(matrix-8028, plain, ( ( hAPP(hAPP(c_List_Odrop(_u20016), _u20017), c_List_Oreplicate(_u20016, _u20018, _u20019)) = c_List_Oreplicate(_u20016, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20018), _u20017), _u20019)) )).
% 29.00/29.26 cnf(matrix-8029, plain, ( ( _u20020 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u20021, c_List_Oreplicate(_u20021, _u20020, _u20022)) = _u20022) )).
% 29.00/29.26 cnf(matrix-8030, plain, ( ( _u20023 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u20024), c_List_Oreplicate(_u20024, _u20023, _u20025)) = _u20025) )).
% 29.00/29.26 cnf(matrix-8031, plain, ( ( hAPP(hAPP(c_List_Otake(_u20026), _u20027), c_List_Oreplicate(_u20026, _u20028, _u20029)) = c_List_Oreplicate(_u20026, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u20027), _u20028), _u20029)) )).
% 29.00/29.26 cnf(matrix-8032, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20030), c_List_Oreplicate(_u20030, _u20031, _u20032)), c_List_Oreplicate(_u20030, _u20033, _u20032)) = hAPP(hAPP(c_List_Oappend(_u20030), c_List_Oreplicate(_u20030, _u20033, _u20032)), c_List_Oreplicate(_u20030, _u20031, _u20032))) )).
% 29.00/29.26 cnf(matrix-8033, plain, ( ( c_List_Oreplicate(_u20034, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20035), _u20036), _u20037) = hAPP(hAPP(c_List_Oappend(_u20034), c_List_Oreplicate(_u20034, _u20035, _u20037)), c_List_Oreplicate(_u20034, _u20036, _u20037))) )).
% 29.00/29.26 cnf(matrix-8034, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20038), c_List_Oreplicate(_u20038, _u20039, _u20040)), hAPP(hAPP(c_List_Olist_OCons(_u20038), _u20040), _u20041)) = hAPP(hAPP(c_List_Olist_OCons(_u20038), _u20040), hAPP(hAPP(c_List_Oappend(_u20038), c_List_Oreplicate(_u20038, _u20039, _u20040)), _u20041))) )).
% 29.00/29.26 cnf(matrix-8035, plain, ( ( c_List_Oreplicate(_u20042, hAPP(c_Nat_OSuc, _u20043), _u20044) = hAPP(hAPP(c_List_Olist_OCons(_u20042), _u20044), c_List_Oreplicate(_u20042, _u20043, _u20044))) )).
% 29.00/29.26 cnf(matrix-8036, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20049), _u20051), hAPP(c_List_Oset(_u20049), c_List_Oreplicate(_u20049, _u20053, _u20055)))) | ( _u20051 = _u20055) )).
% 29.00/29.26 cnf(matrix-8037, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20049), _u20051), hAPP(c_List_Oset(_u20049), c_List_Oreplicate(_u20049, _u20053, _u20055)))) | ( _u20053 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-8038, plain, ( ( _u20052 != _u20056) | ( _u20054 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20050), _u20052), hAPP(c_List_Oset(_u20050), c_List_Oreplicate(_u20050, _u20054, _u20056)))) )).
% 29.00/29.26 cnf(matrix-8039, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20057), c_List_Oreplicate(_u20057, _u20058, _u20059)), hAPP(hAPP(c_List_Olist_OCons(_u20057), _u20059), c_List_Olist_ONil(_u20057))) = hAPP(hAPP(c_List_Olist_OCons(_u20057), _u20059), c_List_Oreplicate(_u20057, _u20058, _u20059))) )).
% 29.00/29.26 cnf(matrix-8040, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20060), hAPP(c_COMBK(_u20060, tc_Nat_Onat), _u20061)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20062)) = c_List_Oreplicate(_u20060, _u20062, _u20061)) )).
% 29.00/29.26 cnf(matrix-8041, plain, ( ( _u20066 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20068), c_List_Oreplicate(_u20068, _u20066, _u20070)) = c_Orderings_Obot__class_Obot(tc_fun(_u20068, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-8042, plain, ( ( _u20067 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20069), c_List_Oreplicate(_u20069, _u20067, _u20071)) = hAPP(hAPP(c_Set_Oinsert(_u20069), _u20071), c_Orderings_Obot__class_Obot(tc_fun(_u20069, tc_HOL_Obool)))) )).
% 29.00/29.26 cnf(matrix-8043, plain, ( ( _u20072 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20073), c_List_Oreplicate(_u20073, _u20072, _u20074)) = hAPP(hAPP(c_Set_Oinsert(_u20073), _u20074), c_Orderings_Obot__class_Obot(tc_fun(_u20073, tc_HOL_Obool)))) )).
% 29.00/29.26 cnf(matrix-8044, plain, ( ( hAPP(c_List_Oset(_u20075), c_List_Oreplicate(_u20075, hAPP(c_Nat_OSuc, _u20076), _u20077)) = hAPP(hAPP(c_Set_Oinsert(_u20075), _u20077), c_Orderings_Obot__class_Obot(tc_fun(_u20075, tc_HOL_Obool)))) )).
% 29.00/29.26 cnf(matrix-8045, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20078) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u20078), _u20079) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u20078), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u20078)), c_List_Olist_ONil(_u20078)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20078))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u20079)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u20078, tc_List_Olist(_u20078)), tc_List_Olist(_u20078), c_Lazy__Sequence_Oproduct(_u20078, tc_List_Olist(_u20078), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20078, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20079), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u20078), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20079), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u20078, tc_List_Olist(_u20078), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20078))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u20078), tc_List_Olist(_u20078)), tc_fun(tc_List_Olist(_u20078), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20078))), _u20078), hAPP(c_COMBB(tc_List_Olist(_u20078), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u20078)), tc_List_Olist(_u20078)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u20078)))), c_List_Olist_OCons(_u20078))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u20078))))) )).
% 29.00/29.26 cnf(matrix-8046, plain, ( ( c_Predicate_Opred__comp(_u20080, _u20080, _u20080, c_fequal, c_Predicate_Opred__comp(_u20080, _u20080, _u20080, _u20081, c_fequal)) = _u20081) )).
% 29.00/29.26 cnf(matrix-8047, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20082) | ~class_Lazy__Sequence_Osmall__lazy(_u20083) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u20082, _u20083), _u20084) = c_Lazy__Sequence_Oproduct(_u20082, _u20083, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20082, _u20084), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u20083, _u20084))) )).
% 29.00/29.26 cnf(matrix-8048, plain, ( ( hAPP(c_New__DSequence_Opos__union(_u20085, _u20086, _u20087), _u20088) = c_Lazy__Sequence_Oappend(_u20085, hAPP(_u20086, _u20088), hAPP(_u20087, _u20088))) )).
% 29.00/29.26 cnf(matrix-8049, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20089)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20089, _u20090, _u20091)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20089)), _u20091)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.26 cnf(matrix-8050, plain, ( ( c_Lazy__Sequence_Oappend(_u20092, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20092, _u20093, _u20094), _u20095) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20092, _u20093, c_Lazy__Sequence_Oappend(_u20092, _u20094, _u20095))) )).
% 29.00/29.26 cnf(matrix-8051, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20101, _u20103, _u20105) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20101, _u20107, _u20109)) | ( _u20103 = _u20107) )).
% 29.00/29.26 cnf(matrix-8052, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20101, _u20103, _u20105) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20101, _u20107, _u20109)) | ( _u20105 = _u20109) )).
% 29.00/29.26 cnf(matrix-8053, plain, ( ( _u20104 != _u20108) | ( _u20106 != _u20110) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20102, _u20104, _u20106) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20102, _u20108, _u20110)) )).
% 29.00/29.26 cnf(matrix-8054, plain, ( ( c_New__Random__Sequence_Opos__union(_u20111, _u20112, _u20113, _u20114, _u20115, _u20116) = c_New__DSequence_Opos__union(_u20111, hAPP(hAPP(hAPP(_u20112, _u20114), _u20115), _u20116), hAPP(hAPP(hAPP(_u20113, _u20114), _u20115), _u20116))) )).
% 29.00/29.26 cnf(matrix-8055, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20117, _u20118), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20117, _u20119, _u20120)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20118, _u20119)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20117, _u20118), _u20120))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 29.00/29.26 cnf(matrix-8056, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20123), _u20125)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20123, _u20125) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 29.00/29.26 cnf(matrix-8057, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20124), _u20126)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20124, _u20126) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20126), c_Lazy__Sequence_Osmall__lazy_H(_u20124, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20126), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 29.00/29.26 cnf(matrix-8058, 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), _u20127), _u20128))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20127), _u20128)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20127, _u20128) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 29.00/29.26 cnf(matrix-8059, 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), _u20127), _u20128))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20127), _u20128)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20127, _u20128) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20128), c_Lazy__Sequence_Osmall__lazy_H(_u20127, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20128), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 29.00/29.26 cnf(matrix-8060, plain, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u20129) = c_Lazy__Sequence_Osmall__lazy_H(_u20129, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u20129))) )).
% 29.00/29.26 cnf(matrix-8061, 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), _u20132), _u20133))) | hBOOL(hAPP(hAPP(_u20134, _u20132), _u20133)) | 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), skolem530(_u20134, _u20133, _u20132)), skolem531(_u20134, _u20133, _u20132)))) )).
% 29.00/29.26 cnf(matrix-8062, 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), _u20132), _u20133))) | hBOOL(hAPP(hAPP(_u20134, _u20132), _u20133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem530(_u20134, _u20133, _u20132)), skolem531(_u20134, _u20133, _u20132))) | hBOOL(hAPP(hAPP(_u20134, skolem530(_u20134, _u20133, _u20132)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem531(_u20134, _u20133, _u20132)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 29.00/29.26 cnf(matrix-8063, 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), _u20132), _u20133))) | hBOOL(hAPP(hAPP(_u20134, _u20132), _u20133)) | ~hBOOL(hAPP(hAPP(_u20134, skolem530(_u20134, _u20133, _u20132)), skolem531(_u20134, _u20133, _u20132))) )).
% 29.00/29.26 cnf(matrix-8064, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20135)), _u20136) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20135, tc_Lazy__Sequence_Olazy__sequence(_u20135)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20135, tc_Lazy__Sequence_Olazy__sequence(_u20135), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20135), tc_Nat_Onat), _u20135), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20135), 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(_u20135)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20135)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u20135), _u20136))) )).
% 29.00/29.26 cnf(matrix-8065, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20137, _u20138), _u20139) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20137, tc_Lazy__Sequence_Olazy__sequence(_u20137)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20137, tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u20137, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat)), _u20137), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u20137), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u20137)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u20137, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20137), tc_Nat_Onat)), _u20137), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u20137))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u20137), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u20138))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20137, _u20138))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u20137), _u20139))) )).
% 29.00/29.26 cnf(matrix-8066, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20140, _u20141, _u20142, _u20143, _u20144) = c_Option_Ooption_Ooption__case(_u20140, tc_prod(_u20141, tc_Lazy__Sequence_Olazy__sequence(_u20141)), _u20142, hAPP(c_Product__Type_Oprod_Oprod__case(_u20141, tc_Lazy__Sequence_Olazy__sequence(_u20141), _u20140), _u20143), hAPP(c_Lazy__Sequence_Oyield(_u20141), _u20144))) )).
% 29.00/29.26 cnf(matrix-8067, plain, ( ( c_Lazy__Sequence_Oyieldn(_u20145) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u20145), _u20145, c_Lazy__Sequence_Oyield(_u20145))) )).
% 29.00/29.26 cnf(matrix-8068, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20146, _u20147, _u20148, _u20149, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20147, _u20150, _u20151)) = hAPP(hAPP(_u20149, _u20150), _u20151)) )).
% 29.00/29.26 cnf(matrix-8069, plain, ( c_Relation_Orefl__on(_u20155, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20153, tc_fun(_u20155, tc_HOL_Obool)), _u20154), _u20156), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20153, tc_fun(tc_prod(_u20155, _u20155), tc_HOL_Obool)), _u20154), _u20157)) | hBOOL(hAPP(hAPP(c_member(_u20153), skolem532(_u20157, _u20156, _u20155, _u20154, _u20153)), _u20154)) )).
% 29.00/29.26 cnf(matrix-8070, plain, ( c_Relation_Orefl__on(_u20155, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20153, tc_fun(_u20155, tc_HOL_Obool)), _u20154), _u20156), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20153, tc_fun(tc_prod(_u20155, _u20155), tc_HOL_Obool)), _u20154), _u20157)) | ~c_Relation_Orefl__on(_u20155, hAPP(_u20156, skolem532(_u20157, _u20156, _u20155, _u20154, _u20153)), hAPP(_u20157, skolem532(_u20157, _u20156, _u20155, _u20154, _u20153))) )).
% 29.00/29.26 cnf(matrix-8071, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20161), _u20163), _u20165)) | hBOOL(hAPP(hAPP(c_member(_u20161), _u20165), hAPP(c_List_Oset(_u20161), _u20163))) )).
% 29.00/29.26 cnf(matrix-8072, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20162), _u20166), hAPP(c_List_Oset(_u20162), _u20164))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20162), _u20164), _u20166)) )).
% 29.00/29.26 cnf(matrix-8073, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20171), hAPP(hAPP(c_List_Olist_OCons(_u20171), _u20173), _u20175)), _u20177)) | ( _u20173 = _u20177) | hBOOL(hAPP(hAPP(c_List_Omember(_u20171), _u20175), _u20177)) )).
% 29.00/29.26 cnf(matrix-8074, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20172), hAPP(hAPP(c_List_Olist_OCons(_u20172), _u20174), _u20176)), _u20178)) | ( _u20174 != _u20178) )).
% 29.00/29.26 cnf(matrix-8075, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20172), hAPP(hAPP(c_List_Olist_OCons(_u20172), _u20174), _u20176)), _u20178)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u20172), _u20176), _u20178)) )).
% 29.00/29.26 cnf(matrix-8076, plain, ( ( c_List_Omember(_u20179) = c_List_Oset(_u20179)) )).
% 29.00/29.26 cnf(matrix-8077, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20180), c_List_Olist_ONil(_u20180)), _u20181)) )).
% 29.00/29.26 cnf(matrix-8078, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20185), _u20187), hAPP(c_List_Oset(_u20185), _u20189))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20185), _u20189), _u20187)) )).
% 29.00/29.26 cnf(matrix-8079, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20186), _u20190), _u20188)) | hBOOL(hAPP(hAPP(c_member(_u20186), _u20188), hAPP(c_List_Oset(_u20186), _u20190))) )).
% 29.00/29.26 cnf(matrix-8080, plain, ( ~c_List_Olist__ex1(_u20198, _u20200, _u20202) | hBOOL(hAPP(hAPP(c_member(_u20198), skolem533(_u20202, _u20200, _u20198)), hAPP(c_List_Oset(_u20198), _u20202))) )).
% 29.00/29.26 cnf(matrix-8081, plain, ( ~c_List_Olist__ex1(_u20198, _u20200, _u20202) | hBOOL(hAPP(_u20200, skolem533(_u20202, _u20200, _u20198))) )).
% 29.00/29.26 cnf(matrix-8082, plain, ( ~c_List_Olist__ex1(_u20198, _u20200, _u20202) | ~hBOOL(hAPP(hAPP(c_member(_u20198), _u20191), hAPP(c_List_Oset(_u20198), _u20202))) | ~hBOOL(hAPP(_u20200, _u20191)) | ( _u20191 = skolem533(_u20202, _u20200, _u20198)) )).
% 29.00/29.26 cnf(matrix-8083, plain, ( c_List_Olist__ex1(_u20199, _u20201, _u20203) | ~hBOOL(hAPP(hAPP(c_member(_u20199), _u20194), hAPP(c_List_Oset(_u20199), _u20203))) | ~hBOOL(hAPP(_u20201, _u20194)) | hBOOL(hAPP(hAPP(c_member(_u20199), skolem534(_u20203, _u20201, _u20199, _u20194)), hAPP(c_List_Oset(_u20199), _u20203))) )).
% 29.00/29.26 cnf(matrix-8084, plain, ( c_List_Olist__ex1(_u20199, _u20201, _u20203) | ~hBOOL(hAPP(hAPP(c_member(_u20199), _u20194), hAPP(c_List_Oset(_u20199), _u20203))) | ~hBOOL(hAPP(_u20201, _u20194)) | hBOOL(hAPP(_u20201, skolem534(_u20203, _u20201, _u20199, _u20194))) )).
% 29.00/29.26 cnf(matrix-8085, plain, ( c_List_Olist__ex1(_u20199, _u20201, _u20203) | ~hBOOL(hAPP(hAPP(c_member(_u20199), _u20194), hAPP(c_List_Oset(_u20199), _u20203))) | ~hBOOL(hAPP(_u20201, _u20194)) | ( skolem534(_u20203, _u20201, _u20199, _u20194) != _u20194) )).
% 29.00/29.26 cnf(matrix-8086, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem536(_u20211, _u20210, _u20209, _u20208)), _u20210)) )).
% 29.00/29.26 cnf(matrix-8087, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem537(_u20211, _u20210, _u20209, _u20208)), _u20210)) )).
% 29.00/29.26 cnf(matrix-8088, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | ( skolem536(_u20211, _u20210, _u20209, _u20208) != skolem537(_u20211, _u20210, _u20209, _u20208)) )).
% 29.00/29.26 cnf(matrix-8089, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(_u20209), skolem538(_u20211, _u20210, _u20209, _u20208)), skolem536(_u20211, _u20210, _u20209, _u20208))) )).
% 29.00/29.26 cnf(matrix-8090, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(_u20209), skolem538(_u20211, _u20210, _u20209, _u20208)), skolem537(_u20211, _u20210, _u20209, _u20208))) )).
% 29.00/29.26 cnf(matrix-8091, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem535(_u20211, _u20210, _u20209, _u20208)), _u20210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | ( hAPP(_u20211, skolem538(_u20211, _u20210, _u20209, _u20208)) != c_Groups_Ozero__class_Ozero(_u20208)) )).
% 29.00/29.26 cnf(matrix-8092, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem536(_u20211, _u20210, _u20209, _u20208)), _u20210)) )).
% 29.00/29.26 cnf(matrix-8093, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20209, tc_HOL_Obool)), skolem537(_u20211, _u20210, _u20209, _u20208)), _u20210)) )).
% 29.00/29.26 cnf(matrix-8094, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | ( skolem536(_u20211, _u20210, _u20209, _u20208) != skolem537(_u20211, _u20210, _u20209, _u20208)) )).
% 29.00/29.26 cnf(matrix-8095, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(_u20209), skolem538(_u20211, _u20210, _u20209, _u20208)), skolem536(_u20211, _u20210, _u20209, _u20208))) )).
% 29.00/29.26 cnf(matrix-8096, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | hBOOL(hAPP(hAPP(c_member(_u20209), skolem538(_u20211, _u20210, _u20209, _u20208)), skolem537(_u20211, _u20210, _u20209, _u20208))) )).
% 29.00/29.26 cnf(matrix-8097, plain, ( ~class_Groups_Ocomm__monoid__add(_u20208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20209, tc_HOL_Obool)), _u20210)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20209), skolem535(_u20211, _u20210, _u20209, _u20208))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20209, tc_HOL_Obool), _u20210)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20209, tc_HOL_Obool), _u20208), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20209, _u20208), _u20211)), _u20210)) | ( hAPP(_u20211, skolem538(_u20211, _u20210, _u20209, _u20208)) != c_Groups_Ozero__class_Ozero(_u20208)) )).
% 29.00/29.26 cnf(matrix-8098, plain, ( ( c_FunDef_OTHE__default(_u20221, _u20223, _u20219) = c_HOL_OThe(_u20221, _u20219)) | ~hBOOL(hAPP(_u20219, _u20213)) | hBOOL(hAPP(_u20219, skolem539(_u20223, _u20221, _u20219, _u20213))) )).
% 29.00/29.26 cnf(matrix-8099, plain, ( ( c_FunDef_OTHE__default(_u20221, _u20223, _u20219) = c_HOL_OThe(_u20221, _u20219)) | ~hBOOL(hAPP(_u20219, _u20213)) | ( skolem539(_u20223, _u20221, _u20219, _u20213) != _u20213) )).
% 29.00/29.26 cnf(matrix-8100, plain, ( ( c_FunDef_OTHE__default(_u20222, _u20224, _u20220) = _u20224) | hBOOL(hAPP(_u20220, skolem540(_u20224, _u20222, _u20220))) )).
% 29.00/29.26 cnf(matrix-8101, plain, ( ( c_FunDef_OTHE__default(_u20222, _u20224, _u20220) = _u20224) | ~hBOOL(hAPP(_u20220, _u20214)) | ( _u20214 = skolem540(_u20224, _u20222, _u20220)) )).
% 29.00/29.26 cnf(matrix-8102, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20226, tc_fun(_u20231, tc_fun(_u20232, tc_HOL_Obool))), _u20227), _u20228), _u20229), _u20230)) | hBOOL(hAPP(hAPP(c_member(_u20226), skolem541(_u20232, _u20231, _u20230, _u20229, _u20228, _u20227, _u20226)), _u20227)) )).
% 29.00/29.26 cnf(matrix-8103, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20226, tc_fun(_u20231, tc_fun(_u20232, tc_HOL_Obool))), _u20227), _u20228), _u20229), _u20230)) | ~hBOOL(hAPP(hAPP(hAPP(_u20228, skolem541(_u20232, _u20231, _u20230, _u20229, _u20228, _u20227, _u20226)), _u20229), _u20230)) )).
% 29.00/29.26 cnf(matrix-8104, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20234, tc_fun(_u20235, tc_fun(_u20236, tc_HOL_Obool))), _u20237), _u20238), _u20239), _u20240)) | hBOOL(hAPP(hAPP(c_member(_u20234), skolem542(_u20240, _u20239, _u20238, _u20237, _u20236, _u20235, _u20234)), _u20237)) )).
% 29.00/29.26 cnf(matrix-8105, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20234, tc_fun(_u20235, tc_fun(_u20236, tc_HOL_Obool))), _u20237), _u20238), _u20239), _u20240)) | hBOOL(hAPP(hAPP(hAPP(_u20238, skolem542(_u20240, _u20239, _u20238, _u20237, _u20236, _u20235, _u20234)), _u20239), _u20240)) )).
% 29.00/29.26 cnf(matrix-8106, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u20243)), _u20244)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20243)), _u20241), _u20244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20243)), _u20241)), skolem543(_u20244, _u20243))) )).
% 29.00/29.26 cnf(matrix-8107, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20245)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20245)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-8108, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20246, _u20247), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20246)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 29.00/29.26 cnf(matrix-8109, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20248, _u20249, _u20250, _u20251, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20249)) = _u20250) )).
% 29.00/29.26 cnf(matrix-8110, plain, ( ( c_Lazy__Sequence_Oappend(_u20252, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20252), _u20253) = _u20253) )).
% 29.00/29.26 cnf(matrix-8111, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20254, _u20255, _u20256) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20254)) )).
% 29.00/29.26 cnf(matrix-8112, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20257) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20257, _u20258, _u20259)) )).
% 29.00/29.26 cnf(matrix-8113, plain, ( ~c_List_Olist__all(tc_Int_Oint, _u20263, c_List_Oupto(_u20265, _u20267)) | c_List_Oall__interval__int(_u20263, _u20265, _u20267) )).
% 29.00/29.26 cnf(matrix-8114, plain, ( ~c_List_Oall__interval__int(_u20264, _u20266, _u20268) | c_List_Olist__all(tc_Int_Oint, _u20264, c_List_Oupto(_u20266, _u20268)) )).
% 29.00/29.26 cnf(matrix-8115, plain, ( ~c_List_Olist__ex(tc_Int_Oint, _u20272, c_List_Oupto(_u20274, _u20276)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20272), _u20274, _u20276) )).
% 29.00/29.26 cnf(matrix-8116, plain, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20273), _u20275, _u20277) | c_List_Olist__ex(tc_Int_Oint, _u20273, c_List_Oupto(_u20275, _u20277)) )).
% 29.00/29.26 cnf(matrix-8117, plain, ( ~c_List_Oall__interval__int(_u20283, _u20285, _u20287) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u20278), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20285, _u20287))) | hBOOL(hAPP(_u20283, _u20278)) )).
% 29.00/29.26 cnf(matrix-8118, plain, ( c_List_Oall__interval__int(_u20284, _u20286, _u20288) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem544(_u20288, _u20286, _u20284)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20286, _u20288))) )).
% 29.00/29.26 cnf(matrix-8119, plain, ( c_List_Oall__interval__int(_u20284, _u20286, _u20288) | ~hBOOL(hAPP(_u20284, skolem544(_u20288, _u20286, _u20284))) )).
% 29.00/29.26 cnf(matrix-8120, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20293), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20295, _u20297, _u20293, _u20299) = 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(_u20295)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20295))) )).
% 29.00/29.26 cnf(matrix-8121, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20294), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20296, _u20298, _u20294, _u20300) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u20296, 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(_u20296)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u20298, _u20300)), 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(_u20296)))), 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(_u20296)))), 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(_u20296)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u20296, 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(_u20296)))), 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(_u20296)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u20296, _u20298, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20294), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u20300))), 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(_u20296)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296)))), 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(_u20296)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u20296, 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(_u20296)))), 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(_u20296)))), 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(_u20296))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296)))), 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(_u20296)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296))))), tc_prod(_u20296, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u20296)), hAPP(hAPP(c_COMBB(_u20296, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20296)))), tc_prod(_u20296, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u20296)), c_Product__Type_Ofst(_u20296, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 29.00/29.26 cnf(matrix-8122, plain, ( ~hBOOL(hAPP(hAPP(_u20303, hAPP(c_Product__Type_Osnd(_u20304, _u20305), _u20306)), hAPP(c_Product__Type_Ofst(_u20304, _u20305), _u20306))) | hBOOL(hAPP(_u20307, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20304, _u20305, _u20309), _u20308), _u20306))) | hBOOL(hAPP(hAPP(_u20303, skolem546(_u20309, _u20308, _u20307, _u20306, _u20305, _u20304, _u20303)), skolem545(_u20309, _u20308, _u20307, _u20306, _u20305, _u20304, _u20303))) )).
% 29.00/29.26 cnf(matrix-8123, plain, ( ~hBOOL(hAPP(hAPP(_u20303, hAPP(c_Product__Type_Osnd(_u20304, _u20305), _u20306)), hAPP(c_Product__Type_Ofst(_u20304, _u20305), _u20306))) | hBOOL(hAPP(_u20307, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20304, _u20305, _u20309), _u20308), _u20306))) | ~hBOOL(hAPP(_u20307, hAPP(hAPP(_u20308, skolem545(_u20309, _u20308, _u20307, _u20306, _u20305, _u20304, _u20303)), skolem546(_u20309, _u20308, _u20307, _u20306, _u20305, _u20304, _u20303)))) )).
% 29.00/29.26 cnf(matrix-8124, plain, ( ( c_Random__Sequence_Oempty(_u20310, _u20311, _u20312) = 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(_u20310)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20310))) )).
% 29.00/29.26 cnf(matrix-8125, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u20313), _u20314), _u20315), _u20316) = 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(_u20313)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u20313), _u20314))) )).
% 29.00/29.26 cnf(matrix-8126, plain, ( ( c_Random__Sequence_Omap(_u20317, _u20318, _u20319, _u20320) = c_Random__Sequence_Obind(_u20317, _u20318, _u20320, hAPP(c_Fun_Ocomp(_u20318, 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(_u20318)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u20317, c_Random__Sequence_Osingle(_u20318)), _u20319))) )).
% 29.00/29.26 cnf(matrix-8127, plain, ( ( hAPP(c_Relation_OImage(_u20321, _u20322, hAPP(c_Set_OCollect(tc_prod(_u20321, _u20322)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20321, _u20322, tc_HOL_Obool), _u20323))), _u20324) = hAPP(c_Set_OCollect(_u20322), hAPP(hAPP(c_COMBB(tc_fun(_u20321, tc_HOL_Obool), tc_HOL_Obool, _u20322), c_HOL_OEx(_u20321)), hAPP(hAPP(c_COMBB(tc_fun(_u20321, tc_HOL_Obool), tc_fun(_u20321, tc_HOL_Obool), _u20322), hAPP(c_COMBS(_u20321, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20321), c_fconj), hAPP(hAPP(c_COMBC(_u20321, tc_fun(_u20321, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20321)), _u20324)))), hAPP(c_COMBC(_u20321, _u20322, tc_HOL_Obool), _u20323))))) )).
% 29.00/29.26 cnf(matrix-8128, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20330), _u20325), hAPP(c_List_Oset(_u20330), _u20332))) | ~hBOOL(hAPP(_u20334, _u20325)) | c_List_Olist__ex(_u20330, _u20334, _u20332) )).
% 29.00/29.26 cnf(matrix-8129, plain, ( ~c_List_Olist__ex(_u20331, _u20335, _u20333) | hBOOL(hAPP(hAPP(c_member(_u20331), skolem547(_u20335, _u20333, _u20331)), hAPP(c_List_Oset(_u20331), _u20333))) )).
% 29.00/29.26 cnf(matrix-8130, plain, ( ~c_List_Olist__ex(_u20331, _u20335, _u20333) | hBOOL(hAPP(_u20335, skolem547(_u20335, _u20333, _u20331))) )).
% 29.00/29.26 cnf(matrix-8131, plain, ( ~c_List_Olist__ex(_u20341, _u20343, _u20345) | hBOOL(hAPP(hAPP(c_member(_u20341), skolem548(_u20345, _u20343, _u20341)), hAPP(c_List_Oset(_u20341), _u20345))) )).
% 29.00/29.26 cnf(matrix-8132, plain, ( ~c_List_Olist__ex(_u20341, _u20343, _u20345) | hBOOL(hAPP(_u20343, skolem548(_u20345, _u20343, _u20341))) )).
% 29.00/29.26 cnf(matrix-8133, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20342), _u20337), hAPP(c_List_Oset(_u20342), _u20346))) | ~hBOOL(hAPP(_u20344, _u20337)) | c_List_Olist__ex(_u20342, _u20344, _u20346) )).
% 29.00/29.26 cnf(matrix-8134, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20347, tc_fun(_u20348, tc_HOL_Obool)), _u20349), _u20350) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20348, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20348, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20347, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20348, tc_HOL_Obool)), c_HOL_OEx(_u20347)), hAPP(hAPP(c_COMBB(tc_fun(_u20347, tc_HOL_Obool), tc_fun(_u20347, tc_HOL_Obool), tc_fun(_u20348, tc_HOL_Obool)), hAPP(c_COMBS(_u20347, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20347), c_fconj), hAPP(hAPP(c_COMBC(_u20347, tc_fun(_u20347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20347)), _u20349)))), hAPP(hAPP(c_COMBC(tc_fun(_u20348, tc_HOL_Obool), tc_fun(_u20347, tc_fun(_u20348, tc_HOL_Obool)), tc_fun(_u20347, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20348, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20347, tc_fun(_u20348, tc_HOL_Obool)), tc_fun(_u20347, tc_HOL_Obool)), tc_fun(_u20348, tc_HOL_Obool)), c_COMBB(tc_fun(_u20348, tc_HOL_Obool), tc_HOL_Obool, _u20347)), c_fequal)), _u20350)))))) )).
% 29.00/29.26 cnf(matrix-8135, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20351, tc_HOL_Obool) = c_Set_OBex(_u20351)) )).
% 29.00/29.26 cnf(matrix-8136, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20353), _u20352), c_Orderings_Obot__class_Obot(tc_fun(_u20353, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20354, _u20352)) )).
% 29.00/29.26 cnf(matrix-8137, plain, ( hBOOL(hAPP(_u20363, skolem549(_u20363))) | ~hBOOL(hAPP(hAPP(c_member(_u20361), _u20355), c_Orderings_Otop__class_Otop(tc_fun(_u20361, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20363, _u20355)) )).
% 29.00/29.26 cnf(matrix-8138, plain, ( ~hBOOL(hAPP(_u20364, _u20357)) | hBOOL(hAPP(hAPP(c_member(_u20362), skolem550(_u20364, _u20362)), c_Orderings_Otop__class_Otop(tc_fun(_u20362, tc_HOL_Obool)))) )).
% 29.00/29.26 cnf(matrix-8139, plain, ( ~hBOOL(hAPP(_u20364, _u20357)) | hBOOL(hAPP(_u20364, skolem550(_u20364, _u20362))) )).
% 29.00/29.26 cnf(matrix-8140, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20367), _u20368)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool, _u20369), c_HOL_OEx(_u20367)), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_fun(_u20367, tc_HOL_Obool), _u20369), hAPP(c_COMBS(_u20367, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20367), c_fconj), hAPP(hAPP(c_COMBC(_u20367, tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20367)), _u20368)))), _u20370))))) | ~hBOOL(hAPP(hAPP(c_member(_u20367), _u20365), _u20368)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBC(_u20369, _u20367, tc_HOL_Obool), _u20370), _u20365)))) )).
% 29.00/29.26 cnf(matrix-8141, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20367), _u20368)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool, _u20369), c_HOL_OEx(_u20367)), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_fun(_u20367, tc_HOL_Obool), _u20369), hAPP(c_COMBS(_u20367, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20367), c_fconj), hAPP(hAPP(c_COMBC(_u20367, tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20367)), _u20368)))), _u20370))))) | hBOOL(hAPP(hAPP(c_member(_u20367), skolem551(_u20370, _u20369, _u20368, _u20367)), _u20368)) )).
% 29.00/29.26 cnf(matrix-8142, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20367), _u20368)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool, _u20369), c_HOL_OEx(_u20367)), hAPP(hAPP(c_COMBB(tc_fun(_u20367, tc_HOL_Obool), tc_fun(_u20367, tc_HOL_Obool), _u20369), hAPP(c_COMBS(_u20367, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20367), c_fconj), hAPP(hAPP(c_COMBC(_u20367, tc_fun(_u20367, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20367)), _u20368)))), _u20370))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20369), hAPP(c_Set_OCollect(_u20369), hAPP(hAPP(c_COMBC(_u20369, _u20367, tc_HOL_Obool), _u20370), skolem551(_u20370, _u20369, _u20368, _u20367))))) )).
% 29.00/29.26 cnf(matrix-8143, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20371, tc_HOL_Obool), _u20372) = hAPP(c_Set_OCollect(_u20371), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20371, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u20371), c_HOL_OEx(tc_fun(_u20371, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20371, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20371, tc_HOL_Obool), tc_HOL_Obool), _u20371), hAPP(c_COMBS(tc_fun(_u20371, 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(_u20371, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20371, tc_HOL_Obool), tc_fun(tc_fun(_u20371, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20371, tc_HOL_Obool))), _u20372)))), c_member(_u20371))))) )).
% 29.00/29.26 cnf(matrix-8144, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20373, tc_fun(_u20374, tc_HOL_Obool)), _u20375), _u20376) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20374, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20374, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20373, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20374, tc_HOL_Obool)), c_HOL_OEx(_u20373)), hAPP(hAPP(c_COMBB(tc_fun(_u20373, tc_HOL_Obool), tc_fun(_u20373, tc_HOL_Obool), tc_fun(_u20374, tc_HOL_Obool)), hAPP(c_COMBS(_u20373, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20373), c_fconj), hAPP(hAPP(c_COMBC(_u20373, tc_fun(_u20373, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20373)), _u20375)))), hAPP(hAPP(c_COMBC(tc_fun(_u20374, tc_HOL_Obool), tc_fun(_u20373, tc_fun(_u20374, tc_HOL_Obool)), tc_fun(_u20373, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20374, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20373, tc_fun(_u20374, tc_HOL_Obool)), tc_fun(_u20373, tc_HOL_Obool)), tc_fun(_u20374, tc_HOL_Obool)), c_COMBB(tc_fun(_u20374, tc_HOL_Obool), tc_HOL_Obool, _u20373)), c_fequal)), _u20376)))))) )).
% 29.00/29.26 cnf(matrix-8145, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20377) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20378, _u20377), _u20379), _u20380) = c_Complete__Lattice_OSup__class_OSup(_u20377, hAPP(c_Set_OCollect(_u20377), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool), tc_HOL_Obool, _u20377), c_HOL_OEx(tc_fun(_u20378, _u20377))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool), tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool), _u20377), hAPP(c_COMBS(tc_fun(_u20378, _u20377), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20378, _u20377)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20378, _u20377), tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20378, _u20377))), _u20379)))), hAPP(hAPP(c_COMBC(_u20377, tc_fun(tc_fun(_u20378, _u20377), _u20377), tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20377, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20378, _u20377), _u20377), tc_fun(tc_fun(_u20378, _u20377), tc_HOL_Obool)), _u20377), c_COMBB(_u20377, tc_HOL_Obool, tc_fun(_u20378, _u20377))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20378, _u20377), _u20378, _u20377), c_COMBI(tc_fun(_u20378, _u20377))), _u20380))))))) )).
% 29.00/29.26 cnf(matrix-8146, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20381) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20382, _u20381), _u20383), _u20384) = c_Complete__Lattice_OSup__class_OSup(_u20381, hAPP(c_Set_OCollect(_u20381), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool), tc_HOL_Obool, _u20381), c_HOL_OEx(tc_fun(_u20382, _u20381))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool), tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool), _u20381), hAPP(c_COMBS(tc_fun(_u20382, _u20381), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20382, _u20381)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20382, _u20381), tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20382, _u20381))), _u20383)))), hAPP(hAPP(c_COMBC(_u20381, tc_fun(tc_fun(_u20382, _u20381), _u20381), tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20381, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20382, _u20381), _u20381), tc_fun(tc_fun(_u20382, _u20381), tc_HOL_Obool)), _u20381), c_COMBB(_u20381, tc_HOL_Obool, tc_fun(_u20382, _u20381))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20382, _u20381), _u20382, _u20381), c_COMBI(tc_fun(_u20382, _u20381))), _u20384))))))) )).
% 29.00/29.26 cnf(matrix-8147, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20385) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20386, _u20385), _u20387), _u20388) = c_Complete__Lattice_OInf__class_OInf(_u20385, hAPP(c_Set_OCollect(_u20385), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool), tc_HOL_Obool, _u20385), c_HOL_OEx(tc_fun(_u20386, _u20385))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool), tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool), _u20385), hAPP(c_COMBS(tc_fun(_u20386, _u20385), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20386, _u20385)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20386, _u20385), tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20386, _u20385))), _u20387)))), hAPP(hAPP(c_COMBC(_u20385, tc_fun(tc_fun(_u20386, _u20385), _u20385), tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20385, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20386, _u20385), _u20385), tc_fun(tc_fun(_u20386, _u20385), tc_HOL_Obool)), _u20385), c_COMBB(_u20385, tc_HOL_Obool, tc_fun(_u20386, _u20385))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20386, _u20385), _u20386, _u20385), c_COMBI(tc_fun(_u20386, _u20385))), _u20388))))))) )).
% 29.00/29.26 cnf(matrix-8148, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20389) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20390, _u20389), _u20391), _u20392) = c_Complete__Lattice_OInf__class_OInf(_u20389, hAPP(c_Set_OCollect(_u20389), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool), tc_HOL_Obool, _u20389), c_HOL_OEx(tc_fun(_u20390, _u20389))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool), tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool), _u20389), hAPP(c_COMBS(tc_fun(_u20390, _u20389), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20390, _u20389)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20390, _u20389), tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20390, _u20389))), _u20391)))), hAPP(hAPP(c_COMBC(_u20389, tc_fun(tc_fun(_u20390, _u20389), _u20389), tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20389, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20390, _u20389), _u20389), tc_fun(tc_fun(_u20390, _u20389), tc_HOL_Obool)), _u20389), c_COMBB(_u20389, tc_HOL_Obool, tc_fun(_u20390, _u20389))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20390, _u20389), _u20390, _u20389), c_COMBI(tc_fun(_u20390, _u20389))), _u20392))))))) )).
% 29.00/29.26 cnf(matrix-8149, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20395), _u20396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20395), _u20397)) | ( _u20397 = c_Orderings_Obot__class_Obot(tc_fun(_u20395, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20395, _u20398, _u20396, _u20397) | hBOOL(hAPP(hAPP(c_member(_u20395), skolem552(_u20398, _u20397, _u20396, _u20395)), _u20396)) )).
% 29.00/29.26 cnf(matrix-8150, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20395), _u20396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20395), _u20397)) | ( _u20397 = c_Orderings_Obot__class_Obot(tc_fun(_u20395, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20395, _u20398, _u20396, _u20397) | ~hBOOL(hAPP(hAPP(c_member(_u20395), _u20393), _u20397)) | ~hBOOL(hAPP(hAPP(_u20398, skolem552(_u20398, _u20397, _u20396, _u20395)), _u20393)) )).
% 29.00/29.26 cnf(matrix-8151, plain, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20407), _u20411)) )).
% 29.00/29.26 cnf(matrix-8152, plain, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20407), _u20413)) )).
% 29.00/29.26 cnf(matrix-8153, plain, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | ( _u20413 != c_Orderings_Obot__class_Obot(tc_fun(_u20407, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-8154, plain, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | ~hBOOL(hAPP(hAPP(c_member(_u20407), _u20400), _u20411)) | hBOOL(hAPP(hAPP(c_member(_u20407), skolem553(_u20413, _u20411, _u20409, _u20407, _u20400)), _u20413)) )).
% 29.00/29.26 cnf(matrix-8155, plain, ( ~c_Wellfounded_Omax__extp(_u20407, _u20409, _u20411, _u20413) | ~hBOOL(hAPP(hAPP(c_member(_u20407), _u20400), _u20411)) | hBOOL(hAPP(hAPP(_u20409, _u20400), skolem553(_u20413, _u20411, _u20409, _u20407, _u20400))) )).
% 29.00/29.26 cnf(matrix-8156, plain, ( c_Wellfounded_Omax__extp(_u20408, _u20410, _u20412, _u20414) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20408), _u20412)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20408), _u20414)) | ( _u20414 = c_Orderings_Obot__class_Obot(tc_fun(_u20408, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u20408), skolem554(_u20414, _u20412, _u20410, _u20408)), _u20412)) )).
% 29.00/29.26 cnf(matrix-8157, plain, ( c_Wellfounded_Omax__extp(_u20408, _u20410, _u20412, _u20414) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20408), _u20412)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20408), _u20414)) | ( _u20414 = c_Orderings_Obot__class_Obot(tc_fun(_u20408, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u20408), _u20401), _u20414)) | ~hBOOL(hAPP(hAPP(_u20410, skolem554(_u20414, _u20412, _u20410, _u20408)), _u20401)) )).
% 29.00/29.26 cnf(matrix-8158, plain, ( ( c_Partial__Function_Ofun__lub(_u20415, _u20416, _u20417, _u20418, _u20419, _u20420) = hAPP(_u20418, hAPP(c_Set_OCollect(_u20415), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool), tc_HOL_Obool, _u20415), c_HOL_OEx(tc_fun(_u20417, _u20415))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool), tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool), _u20415), hAPP(c_COMBS(tc_fun(_u20417, _u20415), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20417, _u20415)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20417, _u20415), tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20417, _u20415))), _u20419)))), hAPP(hAPP(c_COMBC(_u20415, tc_fun(tc_fun(_u20417, _u20415), _u20415), tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20415, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20417, _u20415), _u20415), tc_fun(tc_fun(_u20417, _u20415), tc_HOL_Obool)), _u20415), c_COMBB(_u20415, tc_HOL_Obool, tc_fun(_u20417, _u20415))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20417, _u20415), _u20417, _u20415), c_COMBI(tc_fun(_u20417, _u20415))), _u20420))))))) )).
% 29.00/29.26 cnf(matrix-8159, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20421), tc_List_Olist(_u20421))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20421), tc_List_Olist(_u20421)), _u20422), _u20423)), c_List_Olexord(_u20421, _u20424))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20421), tc_List_Olist(_u20421))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20421), tc_List_Olist(_u20421)), _u20423), _u20425)), c_List_Olexord(_u20421, _u20424))) | ~c_Relation_Otrans(_u20421, _u20424) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20421), tc_List_Olist(_u20421))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20421), tc_List_Olist(_u20421)), _u20422), _u20425)), c_List_Olexord(_u20421, _u20424))) )).
% 29.00/29.26 cnf(matrix-8160, plain, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 29.00/29.26 cnf(matrix-8161, plain, ( ~c_Relation_Otrans(_u20426, _u20427) | ~c_Relation_Otrans(_u20428, _u20429) | c_Relation_Otrans(tc_prod(_u20426, _u20428), c_Wellfounded_Olex__prod(_u20426, _u20428, _u20427, _u20429)) )).
% 29.00/29.26 cnf(matrix-8162, plain, ( c_Relation_Otrans(_u20430, c_Transitive__Closure_Otrancl(_u20430, _u20431)) )).
% 29.00/29.26 cnf(matrix-8163, plain, ( ~c_Relation_Otrans(_u20432, _u20433) | ( c_Transitive__Closure_Otrancl(_u20432, _u20433) = _u20433) )).
% 29.00/29.26 cnf(matrix-8164, plain, ( ~c_Relation_Otrans(_u20434, _u20435) | c_Relation_Otrans(_u20434, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20434, _u20434), tc_HOL_Obool)), _u20435), c_Relation_OId(_u20434))) )).
% 29.00/29.26 cnf(matrix-8165, plain, ( ~c_Relation_Otrans(_u20436, _u20437) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20436, _u20436), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20436, _u20436, _u20436), _u20437), _u20437)), _u20437)) )).
% 29.00/29.26 cnf(matrix-8166, plain, ( ~c_Relation_Otrans(_u20438, _u20439) | ~c_Relation_Otrans(_u20438, _u20440) | c_Relation_Otrans(_u20438, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20438, _u20438), tc_HOL_Obool)), _u20439), _u20440)) )).
% 29.00/29.26 cnf(matrix-8167, plain, ( c_Relation_Otrans(tc_fun(_u20441, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u20441)) )).
% 29.00/29.26 cnf(matrix-8168, plain, ( ~c_Relation_Otrans(_u20442, _u20443) | c_Relation_Otrans(tc_List_Olist(_u20442), c_List_Olexord(_u20442, _u20443)) )).
% 29.00/29.26 cnf(matrix-8169, plain, ( c_Relation_Otrans(_u20444, c_Relation_OId__on(_u20444, _u20445)) )).
% 29.00/29.26 cnf(matrix-8170, plain, ( c_Relation_Otrans(_u20446, c_Relation_OId(_u20446)) )).
% 29.00/29.26 cnf(matrix-8171, plain, ( ~c_Relation_Otrans(_u20447, _u20448) | c_Relation_Otrans(tc_List_Olist(_u20447), c_List_Olistrel(_u20447, _u20448)) )).
% 29.00/29.26 cnf(matrix-8172, plain, ( ~c_Relation_Otrans(_u20449, _u20450) | c_Relation_Otrans(_u20451, hAPP(hAPP(c_Relation_Oinv__image(_u20449, _u20451), _u20450), _u20452)) )).
% 29.00/29.26 cnf(matrix-8173, plain, ( c_Relation_Otrans(_u20453, c_Transitive__Closure_Ortrancl(_u20453, _u20454)) )).
% 29.00/29.26 cnf(matrix-8174, plain, ( ~c_Relation_Otrans(_u20457, hAPP(c_Relation_Oconverse(_u20457, _u20457), _u20459)) | c_Relation_Otrans(_u20457, _u20459) )).
% 29.00/29.26 cnf(matrix-8175, plain, ( ~c_Relation_Otrans(_u20458, _u20460) | c_Relation_Otrans(_u20458, hAPP(c_Relation_Oconverse(_u20458, _u20458), _u20460)) )).
% 29.00/29.26 cnf(matrix-8176, plain, ( ~c_Relation_Otrans(_u20461, _u20462) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20461, _u20461)), hAPP(hAPP(c_Product__Type_OPair(_u20461, _u20461), _u20463), _u20464)), _u20462)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20461, _u20461)), hAPP(hAPP(c_Product__Type_OPair(_u20461, _u20461), _u20464), _u20465)), _u20462)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20461, _u20461)), hAPP(hAPP(c_Product__Type_OPair(_u20461, _u20461), _u20463), _u20465)), _u20462)) )).
% 29.00/29.26 cnf(matrix-8177, plain, ( ~c_Relation_Otrans(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20474, _u20474)), hAPP(hAPP(c_Product__Type_OPair(_u20474, _u20474), _u20468), _u20467)), _u20476)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20474, _u20474)), hAPP(hAPP(c_Product__Type_OPair(_u20474, _u20474), _u20467), _u20466)), _u20476)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20474, _u20474)), hAPP(hAPP(c_Product__Type_OPair(_u20474, _u20474), _u20468), _u20466)), _u20476)) )).
% 29.00/29.26 cnf(matrix-8178, plain, ( c_Relation_Otrans(_u20475, _u20477) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20475, _u20475)), hAPP(hAPP(c_Product__Type_OPair(_u20475, _u20475), skolem555(_u20477, _u20475)), skolem556(_u20477, _u20475))), _u20477)) )).
% 29.00/29.26 cnf(matrix-8179, plain, ( c_Relation_Otrans(_u20475, _u20477) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20475, _u20475)), hAPP(hAPP(c_Product__Type_OPair(_u20475, _u20475), skolem556(_u20477, _u20475)), skolem557(_u20477, _u20475))), _u20477)) )).
% 29.00/29.26 cnf(matrix-8180, plain, ( c_Relation_Otrans(_u20475, _u20477) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20475, _u20475)), hAPP(hAPP(c_Product__Type_OPair(_u20475, _u20475), skolem555(_u20477, _u20475)), skolem557(_u20477, _u20475))), _u20477)) )).
% 29.00/29.26 cnf(matrix-8181, plain, ( ~c_Predicate_Otransp(_u20480, _u20482) | c_Relation_Otrans(_u20480, hAPP(c_Set_OCollect(tc_prod(_u20480, _u20480)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20480, _u20480, tc_HOL_Obool), _u20482))) )).
% 29.00/29.26 cnf(matrix-8182, plain, ( ~c_Relation_Otrans(_u20481, hAPP(c_Set_OCollect(tc_prod(_u20481, _u20481)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20481, _u20481, tc_HOL_Obool), _u20483))) | c_Predicate_Otransp(_u20481, _u20483) )).
% 29.00/29.26 cnf(matrix-8183, plain, ( ~c_Relation_Otrans(_u20484, _u20485) | ~c_Relation_Oantisym(_u20484, _u20485) | c_Relation_Otrans(_u20484, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20484, _u20484), tc_HOL_Obool)), _u20485), c_Relation_OId(_u20484))) )).
% 29.00/29.26 cnf(matrix-8184, plain, ( ~c_Relation_Oantisym(_u20488, hAPP(c_Relation_Oconverse(_u20488, _u20488), _u20490)) | c_Relation_Oantisym(_u20488, _u20490) )).
% 29.00/29.26 cnf(matrix-8185, plain, ( ~c_Relation_Oantisym(_u20489, _u20491) | c_Relation_Oantisym(_u20489, hAPP(c_Relation_Oconverse(_u20489, _u20489), _u20491)) )).
% 29.00/29.26 cnf(matrix-8186, plain, ( c_Relation_Oantisym(_u20492, c_Relation_OId__on(_u20492, _u20493)) )).
% 29.00/29.26 cnf(matrix-8187, plain, ( c_Relation_Oantisym(_u20494, c_Relation_OId(_u20494)) )).
% 29.00/29.26 cnf(matrix-8188, plain, ( ~hBOOL(hAPP(hAPP(_u20496, _u20497), _u20498)) | ~hBOOL(hAPP(hAPP(_u20496, _u20498), _u20499)) | hBOOL(hAPP(hAPP(_u20496, _u20497), _u20499)) | ~c_Predicate_Otransp(_u20495, _u20496) )).
% 29.00/29.26 cnf(matrix-8189, plain, ( c_Relation_Oantisym(_u20500, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u20500, _u20500), tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-8190, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20501, _u20501), tc_HOL_Obool)), _u20502), _u20503)) | ~c_Relation_Oantisym(_u20501, _u20503) | c_Relation_Oantisym(_u20501, _u20502) )).
% 29.00/29.26 cnf(matrix-8191, plain, ( ~c_Relation_Oantisym(_u20510, _u20512) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20510, _u20510)), hAPP(hAPP(c_Product__Type_OPair(_u20510, _u20510), _u20505), _u20504)), _u20512)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20510, _u20510)), hAPP(hAPP(c_Product__Type_OPair(_u20510, _u20510), _u20504), _u20505)), _u20512)) | ( _u20505 = _u20504) )).
% 29.00/29.26 cnf(matrix-8192, plain, ( c_Relation_Oantisym(_u20511, _u20513) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20511, _u20511)), hAPP(hAPP(c_Product__Type_OPair(_u20511, _u20511), skolem558(_u20513, _u20511)), skolem559(_u20513, _u20511))), _u20513)) )).
% 29.00/29.26 cnf(matrix-8193, plain, ( c_Relation_Oantisym(_u20511, _u20513) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20511, _u20511)), hAPP(hAPP(c_Product__Type_OPair(_u20511, _u20511), skolem559(_u20513, _u20511)), skolem558(_u20513, _u20511))), _u20513)) )).
% 29.00/29.26 cnf(matrix-8194, plain, ( c_Relation_Oantisym(_u20511, _u20513) | ( skolem558(_u20513, _u20511) != skolem559(_u20513, _u20511)) )).
% 29.00/29.26 cnf(matrix-8195, plain, ( ~c_Relation_Oantisym(_u20514, _u20515) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20514, _u20514)), hAPP(hAPP(c_Product__Type_OPair(_u20514, _u20514), _u20516), _u20517)), _u20515)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20514, _u20514)), hAPP(hAPP(c_Product__Type_OPair(_u20514, _u20514), _u20517), _u20516)), _u20515)) | ( _u20516 = _u20517) )).
% 29.00/29.26 cnf(matrix-8196, plain, ( ~c_Relation_Oantisym(_u20520, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20520, _u20520), tc_HOL_Obool)), _u20522), c_Relation_OId(_u20520))) | c_Relation_Oantisym(_u20520, _u20522) )).
% 29.00/29.26 cnf(matrix-8197, plain, ( ~c_Relation_Oantisym(_u20521, _u20523) | c_Relation_Oantisym(_u20521, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20521, _u20521), tc_HOL_Obool)), _u20523), c_Relation_OId(_u20521))) )).
% 29.00/29.26 cnf(matrix-8198, plain, ( ~c_Wellfounded_Oacyclic(_u20524, _u20525) | c_Relation_Oantisym(_u20524, c_Transitive__Closure_Ortrancl(_u20524, _u20525)) )).
% 29.00/29.26 cnf(matrix-8199, plain, ( ~c_Equiv__Relations_Oequivp(_u20526, _u20527) | c_Predicate_Oreflp(_u20526, _u20527) )).
% 29.00/29.26 cnf(matrix-8200, plain, ( ~c_Equiv__Relations_Oequivp(_u20526, _u20527) | c_Predicate_Osymp(_u20526, _u20527) )).
% 29.00/29.26 cnf(matrix-8201, plain, ( ~c_Equiv__Relations_Oequivp(_u20526, _u20527) | c_Predicate_Otransp(_u20526, _u20527) )).
% 29.00/29.26 cnf(matrix-8202, plain, ( ~c_Predicate_Oreflp(_u20528, _u20529) | ~c_Predicate_Osymp(_u20528, _u20529) | ~c_Predicate_Otransp(_u20528, _u20529) | c_Equiv__Relations_Oequivp(_u20528, _u20529) )).
% 29.00/29.26 cnf(matrix-8203, plain, ( ~hBOOL(hAPP(hAPP(_u20531, _u20532), _u20533)) | hBOOL(hAPP(hAPP(_u20531, _u20533), _u20532)) | ~c_Predicate_Osymp(_u20530, _u20531) )).
% 29.00/29.26 cnf(matrix-8204, plain, ( ~c_Equiv__Relations_Oequivp(_u20536, _u20538) | c_Predicate_Oreflp(_u20536, _u20538) )).
% 29.00/29.26 cnf(matrix-8205, plain, ( ~c_Equiv__Relations_Oequivp(_u20536, _u20538) | c_Predicate_Osymp(_u20536, _u20538) )).
% 29.00/29.26 cnf(matrix-8206, plain, ( ~c_Equiv__Relations_Oequivp(_u20536, _u20538) | c_Predicate_Otransp(_u20536, _u20538) )).
% 29.00/29.26 cnf(matrix-8207, plain, ( ~c_Predicate_Oreflp(_u20537, _u20539) | ~c_Predicate_Osymp(_u20537, _u20539) | ~c_Predicate_Otransp(_u20537, _u20539) | c_Equiv__Relations_Oequivp(_u20537, _u20539) )).
% 29.00/29.26 cnf(matrix-8208, plain, ( ~c_Relation_Osym(_u20540, _u20541) | ~c_Relation_Otrans(_u20540, _u20541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20540, _u20540), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20540, _u20540, _u20540), hAPP(c_Relation_Oconverse(_u20540, _u20540), _u20541)), _u20541)), _u20541)) )).
% 29.00/29.26 cnf(matrix-8209, plain, ( ~hBOOL(hAPP(hAPP(_u20543, _u20542), _u20542)) | ~c_Predicate_Osymp(_u20544, _u20543) | ~c_Predicate_Otransp(_u20544, _u20543) | c_Equiv__Relations_Opart__equivp(_u20544, _u20543) )).
% 29.00/29.26 cnf(matrix-8210, plain, ( ~c_Relation_Osym(_u20551, _u20553) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20551, _u20551)), hAPP(hAPP(c_Product__Type_OPair(_u20551, _u20551), _u20546), _u20545)), _u20553)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20551, _u20551)), hAPP(hAPP(c_Product__Type_OPair(_u20551, _u20551), _u20545), _u20546)), _u20553)) )).
% 29.00/29.26 cnf(matrix-8211, plain, ( c_Relation_Osym(_u20552, _u20554) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20552, _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20552, _u20552), skolem560(_u20554, _u20552)), skolem561(_u20554, _u20552))), _u20554)) )).
% 29.00/29.26 cnf(matrix-8212, plain, ( c_Relation_Osym(_u20552, _u20554) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20552, _u20552)), hAPP(hAPP(c_Product__Type_OPair(_u20552, _u20552), skolem561(_u20554, _u20552)), skolem560(_u20554, _u20552))), _u20554)) )).
% 29.00/29.26 cnf(matrix-8213, plain, ( ~c_Relation_Osym(_u20555, _u20556) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20555, _u20555)), hAPP(hAPP(c_Product__Type_OPair(_u20555, _u20555), _u20557), _u20558)), _u20556)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20555, _u20555)), hAPP(hAPP(c_Product__Type_OPair(_u20555, _u20555), _u20558), _u20557)), _u20556)) )).
% 29.00/29.26 cnf(matrix-8214, plain, ( ~c_Relation_Osym(_u20561, hAPP(c_Relation_Oconverse(_u20561, _u20561), _u20563)) | c_Relation_Osym(_u20561, _u20563) )).
% 29.00/29.26 cnf(matrix-8215, plain, ( ~c_Relation_Osym(_u20562, _u20564) | c_Relation_Osym(_u20562, hAPP(c_Relation_Oconverse(_u20562, _u20562), _u20564)) )).
% 29.00/29.26 cnf(matrix-8216, plain, ( ~c_Relation_Osym(_u20567, _u20569) | ( hAPP(c_Relation_Oconverse(_u20567, _u20567), _u20569) = _u20569) )).
% 29.00/29.26 cnf(matrix-8217, plain, ( ( hAPP(c_Relation_Oconverse(_u20568, _u20568), _u20570) != _u20570) | c_Relation_Osym(_u20568, _u20570) )).
% 29.00/29.26 cnf(matrix-8218, plain, ( c_Relation_Osym(_u20571, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20571, _u20571), tc_HOL_Obool)), _u20572), hAPP(c_Relation_Oconverse(_u20571, _u20571), _u20572))) )).
% 29.00/29.26 cnf(matrix-8219, plain, ( ~c_Relation_Osym(_u20573, _u20574) | c_Relation_Osym(_u20573, c_Transitive__Closure_Ortrancl(_u20573, _u20574)) )).
% 29.00/29.26 cnf(matrix-8220, plain, ( ~c_Relation_Osym(_u20575, _u20576) | c_Relation_Osym(_u20577, hAPP(hAPP(c_Relation_Oinv__image(_u20575, _u20577), _u20576), _u20578)) )).
% 29.00/29.26 cnf(matrix-8221, plain, ( ~c_Relation_Osym(_u20579, _u20580) | c_Relation_Osym(tc_List_Olist(_u20579), c_List_Olistrel(_u20579, _u20580)) )).
% 29.00/29.26 cnf(matrix-8222, plain, ( c_Relation_Osym(_u20581, c_Relation_OId(_u20581)) )).
% 29.00/29.26 cnf(matrix-8223, plain, ( ~hBOOL(hAPP(hAPP(_u20583, _u20584), _u20585)) | ~hBOOL(hAPP(hAPP(_u20583, _u20585), _u20586)) | hBOOL(hAPP(hAPP(_u20583, _u20584), _u20586)) | ~c_Equiv__Relations_Opart__equivp(_u20582, _u20583) )).
% 29.00/29.26 cnf(matrix-8224, plain, ( ~hBOOL(hAPP(hAPP(_u20588, _u20589), _u20590)) | hBOOL(hAPP(hAPP(_u20588, _u20590), _u20589)) | ~c_Equiv__Relations_Opart__equivp(_u20587, _u20588) )).
% 29.00/29.26 cnf(matrix-8225, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | hBOOL(hAPP(hAPP(_u20609, skolem562(_u20609)), skolem562(_u20609))) )).
% 29.00/29.26 cnf(matrix-8226, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | ~hBOOL(hAPP(hAPP(_u20609, _u20601), _u20599)) | hBOOL(hAPP(hAPP(_u20609, _u20601), _u20601)) )).
% 29.00/29.26 cnf(matrix-8227, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | ~hBOOL(hAPP(hAPP(_u20609, _u20601), _u20599)) | hBOOL(hAPP(hAPP(_u20609, _u20599), _u20599)) )).
% 29.00/29.26 cnf(matrix-8228, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | ~hBOOL(hAPP(hAPP(_u20609, _u20601), _u20599)) | ( hAPP(_u20609, _u20601) = hAPP(_u20609, _u20599)) )).
% 29.00/29.26 cnf(matrix-8229, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20607, _u20609) | ~hBOOL(hAPP(hAPP(_u20609, _u20602), _u20602)) | ~hBOOL(hAPP(hAPP(_u20609, _u20600), _u20600)) | ( hAPP(_u20609, _u20602) != hAPP(_u20609, _u20600)) | hBOOL(hAPP(hAPP(_u20609, _u20602), _u20600)) )).
% 29.00/29.26 cnf(matrix-8230, plain, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem564(_u20610))) | hBOOL(hAPP(hAPP(_u20610, skolem565(_u20610)), skolem565(_u20610))) )).
% 29.00/29.26 cnf(matrix-8231, plain, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem564(_u20610))) | hBOOL(hAPP(hAPP(_u20610, skolem566(_u20610)), skolem566(_u20610))) )).
% 29.00/29.26 cnf(matrix-8232, plain, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem565(_u20610)) = hAPP(_u20610, skolem566(_u20610))) )).
% 29.00/29.26 cnf(matrix-8233, plain, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem564(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem565(_u20610)), skolem566(_u20610))) )).
% 29.00/29.26 cnf(matrix-8234, plain, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | ~hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem563(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem564(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem563(_u20610)) != hAPP(_u20610, skolem564(_u20610))) | hBOOL(hAPP(hAPP(_u20610, skolem565(_u20610)), skolem565(_u20610))) )).
% 29.00/29.26 cnf(matrix-8235, plain, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | ~hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem563(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem564(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem563(_u20610)) != hAPP(_u20610, skolem564(_u20610))) | hBOOL(hAPP(hAPP(_u20610, skolem566(_u20610)), skolem566(_u20610))) )).
% 29.00/29.26 cnf(matrix-8236, plain, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | ~hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem563(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem564(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem563(_u20610)) != hAPP(_u20610, skolem564(_u20610))) | ( hAPP(_u20610, skolem565(_u20610)) = hAPP(_u20610, skolem566(_u20610))) )).
% 29.00/29.26 cnf(matrix-8237, plain, ( c_Equiv__Relations_Opart__equivp(_u20608, _u20610) | ~hBOOL(hAPP(hAPP(_u20610, _u20594), _u20594)) | ~hBOOL(hAPP(hAPP(_u20610, skolem563(_u20610)), skolem563(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem564(_u20610)), skolem564(_u20610))) | ( hAPP(_u20610, skolem563(_u20610)) != hAPP(_u20610, skolem564(_u20610))) | ~hBOOL(hAPP(hAPP(_u20610, skolem565(_u20610)), skolem566(_u20610))) )).
% 29.00/29.26 cnf(matrix-8238, plain, ( c_Relation_Osym(_u20611, c_Relation_OId__on(_u20611, _u20612)) )).
% 29.00/29.26 cnf(matrix-8239, plain, ( ~c_Relation_Osym(_u20613, _u20614) | ~c_Relation_Osym(_u20613, _u20615) | c_Relation_Osym(_u20613, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20613, _u20613), tc_HOL_Obool)), _u20614), _u20615)) )).
% 29.00/29.26 cnf(matrix-8240, plain, ( ~c_Relation_Osym(_u20616, _u20617) | ~c_Relation_Osym(_u20616, _u20618) | c_Relation_Osym(_u20616, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20616, _u20616), tc_HOL_Obool)), _u20617), _u20618)) )).
% 29.00/29.26 cnf(matrix-8241, plain, ( ~c_Equiv__Relations_Oequivp(_u20619, _u20620) | c_Equiv__Relations_Opart__equivp(_u20619, _u20620) )).
% 29.00/29.26 cnf(matrix-8242, plain, ( ~c_Relation_Osym(_u20621, _u20622) | c_Relation_Osym(_u20621, c_Transitive__Closure_Otrancl(_u20621, _u20622)) )).
% 29.00/29.26 cnf(matrix-8243, plain, ( c_Relation_Osym(_u20623, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20623, _u20623), tc_HOL_Obool)), _u20624), hAPP(c_Relation_Oconverse(_u20623, _u20623), _u20624))) )).
% 29.00/29.26 cnf(matrix-8244, plain, ( ~c_Equiv__Relations_Oequiv(_u20628, _u20630, _u20632) | c_Relation_Orefl__on(_u20628, _u20630, _u20632) )).
% 29.00/29.26 cnf(matrix-8245, plain, ( ~c_Equiv__Relations_Oequiv(_u20628, _u20630, _u20632) | c_Relation_Osym(_u20628, _u20632) )).
% 29.00/29.26 cnf(matrix-8246, plain, ( ~c_Equiv__Relations_Oequiv(_u20628, _u20630, _u20632) | c_Relation_Otrans(_u20628, _u20632) )).
% 29.00/29.26 cnf(matrix-8247, plain, ( ~c_Relation_Orefl__on(_u20629, _u20631, _u20633) | ~c_Relation_Osym(_u20629, _u20633) | ~c_Relation_Otrans(_u20629, _u20633) | c_Equiv__Relations_Oequiv(_u20629, _u20631, _u20633) )).
% 29.00/29.26 cnf(matrix-8248, plain, ( ~c_Relation_Orefl__on(_u20634, _u20635, _u20636) | ~c_Relation_Osym(_u20634, _u20636) | ~c_Relation_Otrans(_u20634, _u20636) | c_Equiv__Relations_Oequiv(_u20634, _u20635, _u20636) )).
% 29.00/29.26 cnf(matrix-8249, plain, ( ~c_Equiv__Relations_Oequiv(_u20637, _u20638, _u20639) | c_Relation_Orefl__on(_u20637, _u20638, _u20639) )).
% 29.00/29.26 cnf(matrix-8250, plain, ( ~c_Equiv__Relations_Oequiv(_u20637, _u20638, _u20639) | c_Relation_Osym(_u20637, _u20639) )).
% 29.00/29.26 cnf(matrix-8251, plain, ( ~c_Equiv__Relations_Oequiv(_u20637, _u20638, _u20639) | c_Relation_Otrans(_u20637, _u20639) )).
% 29.00/29.26 cnf(matrix-8252, plain, ( ~c_Predicate_Osymp(_u20642, _u20644) | c_Relation_Osym(_u20642, hAPP(c_Set_OCollect(tc_prod(_u20642, _u20642)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20642, _u20642, tc_HOL_Obool), _u20644))) )).
% 29.00/29.26 cnf(matrix-8253, plain, ( ~c_Relation_Osym(_u20643, hAPP(c_Set_OCollect(tc_prod(_u20643, _u20643)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20643, _u20643, tc_HOL_Obool), _u20645))) | c_Predicate_Osymp(_u20643, _u20645) )).
% 29.00/29.26 cnf(matrix-8254, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20650, _u20652) | hBOOL(hAPP(hAPP(_u20652, skolem567(_u20652, _u20650)), skolem567(_u20652, _u20650))) )).
% 29.00/29.26 cnf(matrix-8255, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20650, _u20652) | c_Predicate_Osymp(_u20650, _u20652) )).
% 29.00/29.26 cnf(matrix-8256, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20650, _u20652) | c_Predicate_Otransp(_u20650, _u20652) )).
% 29.00/29.26 cnf(matrix-8257, plain, ( ~hBOOL(hAPP(hAPP(_u20653, _u20647), _u20647)) | ~c_Predicate_Osymp(_u20651, _u20653) | ~c_Predicate_Otransp(_u20651, _u20653) | c_Equiv__Relations_Opart__equivp(_u20651, _u20653) )).
% 29.00/29.26 cnf(matrix-8258, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20655, _u20656) | hBOOL(hAPP(hAPP(_u20656, skolem568(_u20656, _u20655)), skolem568(_u20656, _u20655))) )).
% 29.00/29.26 cnf(matrix-8259, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20655, _u20656) | c_Predicate_Osymp(_u20655, _u20656) )).
% 29.00/29.26 cnf(matrix-8260, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20655, _u20656) | c_Predicate_Otransp(_u20655, _u20656) )).
% 29.00/29.26 cnf(matrix-8261, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20658, _u20659) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20658, tc_HOL_Obool)), skolem569(_u20659, _u20658)), hAPP(hAPP(c_COMBB(tc_fun(_u20658, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20658, tc_HOL_Obool)), c_HOL_OEx(_u20658)), hAPP(hAPP(c_COMBB(tc_fun(_u20658, tc_HOL_Obool), tc_fun(_u20658, tc_HOL_Obool), tc_fun(_u20658, tc_HOL_Obool)), hAPP(c_COMBS(_u20658, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20658), c_fconj), hAPP(hAPP(c_COMBS(_u20658, _u20658, tc_HOL_Obool), _u20659), c_COMBI(_u20658))))), hAPP(hAPP(c_COMBC(tc_fun(_u20658, tc_HOL_Obool), tc_fun(_u20658, tc_fun(_u20658, tc_HOL_Obool)), tc_fun(_u20658, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20658, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20658, tc_fun(_u20658, tc_HOL_Obool)), tc_fun(_u20658, tc_HOL_Obool)), tc_fun(_u20658, tc_HOL_Obool)), c_COMBB(tc_fun(_u20658, tc_HOL_Obool), tc_HOL_Obool, _u20658)), c_fequal)), _u20659))))) )).
% 29.00/29.26 cnf(matrix-8262, plain, ( ~c_Fun_Oinj__on(_u20663, _u20665, _u20667, c_Orderings_Otop__class_Otop(tc_fun(_u20663, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20665, _u20663, _u20663, c_Hilbert__Choice_Oinv__into(_u20663, _u20665, c_Orderings_Otop__class_Otop(tc_fun(_u20663, tc_HOL_Obool)), _u20667)), _u20667) = c_Fun_Oid(_u20663)) )).
% 29.00/29.26 cnf(matrix-8263, plain, ( ( hAPP(c_Fun_Ocomp(_u20666, _u20664, _u20664, c_Hilbert__Choice_Oinv__into(_u20664, _u20666, c_Orderings_Otop__class_Otop(tc_fun(_u20664, tc_HOL_Obool)), _u20668)), _u20668) != c_Fun_Oid(_u20664)) | c_Fun_Oinj__on(_u20664, _u20666, _u20668, c_Orderings_Otop__class_Otop(tc_fun(_u20664, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-8264, plain, ( ~c_Fun_Oinj__on(_u20669, _u20670, _u20671, c_Orderings_Otop__class_Otop(tc_fun(_u20669, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20670, _u20669, _u20669, c_Hilbert__Choice_Oinv__into(_u20669, _u20670, c_Orderings_Otop__class_Otop(tc_fun(_u20669, tc_HOL_Obool)), _u20671)), _u20671) = c_Fun_Oid(_u20669)) )).
% 29.00/29.26 cnf(matrix-8265, plain, ( ~c_Fun_Oinj__on(_u20672, _u20673, _u20674, c_Orderings_Otop__class_Otop(tc_fun(_u20672, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20673, _u20675, _u20672, hAPP(c_Fun_Ocomp(_u20672, _u20675, _u20673, _u20676), c_Hilbert__Choice_Oinv__into(_u20672, _u20673, c_Orderings_Otop__class_Otop(tc_fun(_u20672, tc_HOL_Obool)), _u20674))), _u20674) = _u20676) )).
% 29.00/29.26 cnf(matrix-8266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20677, tc_HOL_Obool)), _u20678), hAPP(c_Set_Oimage(_u20679, _u20677, _u20680), _u20681))) | c_Fun_Oinj__on(_u20677, _u20679, c_Hilbert__Choice_Oinv__into(_u20679, _u20677, _u20681, _u20680), _u20678) )).
% 29.00/29.26 cnf(matrix-8267, plain, ( ~c_Fun_Oinj__on(_u20682, _u20683, _u20684, _u20685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20682, tc_HOL_Obool)), _u20686), _u20685)) | ( hAPP(c_Set_Oimage(_u20683, _u20682, c_Hilbert__Choice_Oinv__into(_u20682, _u20683, _u20685, _u20684)), hAPP(c_Set_Oimage(_u20682, _u20683, _u20684), _u20686)) = _u20686) )).
% 29.00/29.26 cnf(matrix-8268, plain, ( ~c_Fun_Oinj__on(_u20687, _u20688, _u20689, c_Orderings_Otop__class_Otop(tc_fun(_u20687, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20688, _u20687, c_Hilbert__Choice_Oinv__into(_u20687, _u20688, c_Orderings_Otop__class_Otop(tc_fun(_u20687, tc_HOL_Obool)), _u20689)), c_Orderings_Otop__class_Otop(tc_fun(_u20688, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20687, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-8269, plain, ( ~c_Fun_Oinj__on(_u20690, _u20691, _u20692, c_Orderings_Otop__class_Otop(tc_fun(_u20690, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20691, _u20690, c_Hilbert__Choice_Oinv__into(_u20690, _u20691, c_Orderings_Otop__class_Otop(tc_fun(_u20690, tc_HOL_Obool)), _u20692)), hAPP(c_Set_Oimage(_u20690, _u20691, _u20692), _u20693)) = _u20693) )).
% 29.00/29.26 cnf(matrix-8270, plain, ( ~c_Fun_Oinj__on(_u20694, _u20695, _u20696, c_Orderings_Otop__class_Otop(tc_fun(_u20694, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20695, _u20694, c_Hilbert__Choice_Oinv__into(_u20694, _u20695, c_Orderings_Otop__class_Otop(tc_fun(_u20694, tc_HOL_Obool)), _u20696)), hAPP(c_Set_Oimage(_u20694, _u20695, _u20696), _u20697)) = _u20697) )).
% 29.00/29.26 cnf(matrix-8271, plain, ( ( hAPP(c_Set_Oimage(_u20698, _u20699, _u20700), c_Orderings_Otop__class_Otop(tc_fun(_u20698, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20699, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20699, _u20698, c_Hilbert__Choice_Oinv__into(_u20698, _u20699, c_Orderings_Otop__class_Otop(tc_fun(_u20698, tc_HOL_Obool)), _u20700), c_Orderings_Otop__class_Otop(tc_fun(_u20699, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-8272, plain, ( ( hAPP(c_Set_Oimage(_u20701, _u20702, _u20703), _u20704) != _u20705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20702, tc_HOL_Obool)), _u20706), _u20705)) | ( hAPP(c_Set_Oimage(_u20701, _u20702, _u20703), hAPP(c_Set_Oimage(_u20702, _u20701, c_Hilbert__Choice_Oinv__into(_u20701, _u20702, _u20704, _u20703)), _u20706)) = _u20706) )).
% 29.00/29.26 cnf(matrix-8273, plain, ( ( hAPP(c_Set_Oimage(_u20712, _u20714, _u20716), c_Orderings_Otop__class_Otop(tc_fun(_u20712, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20714, tc_HOL_Obool))) | ( hAPP(_u20716, hAPP(c_Hilbert__Choice_Oinv__into(_u20712, _u20714, c_Orderings_Otop__class_Otop(tc_fun(_u20712, tc_HOL_Obool)), _u20716), _u20707)) = _u20707) )).
% 29.00/29.26 cnf(matrix-8274, plain, ( ( hAPP(_u20717, hAPP(c_Hilbert__Choice_Oinv__into(_u20713, _u20715, c_Orderings_Otop__class_Otop(tc_fun(_u20713, tc_HOL_Obool)), _u20717), skolem570(_u20717, _u20715, _u20713))) != skolem570(_u20717, _u20715, _u20713)) | ( hAPP(c_Set_Oimage(_u20713, _u20715, _u20717), c_Orderings_Otop__class_Otop(tc_fun(_u20713, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20715, tc_HOL_Obool))) )).
% 29.00/29.26 cnf(matrix-8275, plain, ( ( hAPP(c_Set_Oimage(_u20718, _u20719, _u20720), c_Orderings_Otop__class_Otop(tc_fun(_u20718, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20719, tc_HOL_Obool))) | ( hAPP(_u20720, hAPP(c_Hilbert__Choice_Oinv__into(_u20718, _u20719, c_Orderings_Otop__class_Otop(tc_fun(_u20718, tc_HOL_Obool)), _u20720), _u20721)) = _u20721) )).
% 29.00/29.26 cnf(matrix-8276, plain, ( ( hAPP(c_Set_Oimage(_u20722, _u20723, _u20724), c_Orderings_Otop__class_Otop(tc_fun(_u20722, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20723, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20722, _u20723, _u20724), hAPP(c_Set_Oimage(_u20723, _u20722, c_Hilbert__Choice_Oinv__into(_u20722, _u20723, c_Orderings_Otop__class_Otop(tc_fun(_u20722, tc_HOL_Obool)), _u20724)), _u20725)) = _u20725) )).
% 29.00/29.26 cnf(matrix-8277, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20726), _u20727), hAPP(c_Set_Oimage(_u20728, _u20726, _u20729), _u20730))) | ( hAPP(_u20729, hAPP(c_Hilbert__Choice_Oinv__into(_u20728, _u20726, _u20730, _u20729), _u20727)) = _u20727) )).
% 29.00/29.26 cnf(matrix-8278, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20731), _u20732), hAPP(c_Set_Oimage(_u20733, _u20731, _u20734), _u20735))) | hBOOL(hAPP(hAPP(c_member(_u20733), hAPP(c_Hilbert__Choice_Oinv__into(_u20733, _u20731, _u20735, _u20734), _u20732)), _u20735)) )).
% 29.00/29.26 cnf(matrix-8279, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20736, _u20737, _u20738, _u20739), _u20740) != hAPP(c_Hilbert__Choice_Oinv__into(_u20736, _u20737, _u20738, _u20739), _u20741)) | ~hBOOL(hAPP(hAPP(c_member(_u20737), _u20740), hAPP(c_Set_Oimage(_u20736, _u20737, _u20739), _u20738))) | ~hBOOL(hAPP(hAPP(c_member(_u20737), _u20741), hAPP(c_Set_Oimage(_u20736, _u20737, _u20739), _u20738))) | ( _u20740 = _u20741) )).
% 29.00/29.26 cnf(matrix-8280, plain, ( ( c_Hilbert__Choice_Oinv__into(_u20742, _u20742, c_Orderings_Otop__class_Otop(tc_fun(_u20742, tc_HOL_Obool)), c_Fun_Oid(_u20742)) = c_Fun_Oid(_u20742)) )).
% 29.00/29.26 cnf(matrix-8281, plain, ( ~c_Fun_Oinj__on(_u20743, _u20744, _u20745, _u20746) | ~hBOOL(hAPP(hAPP(c_member(_u20743), _u20747), _u20746)) | ( hAPP(_u20745, _u20747) != _u20748) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20743, _u20744, _u20746, _u20745), _u20748) = _u20747) )).
% 29.00/29.26 cnf(matrix-8282, plain, ( ~c_Fun_Oinj__on(_u20749, _u20750, _u20751, _u20752) | ~hBOOL(hAPP(hAPP(c_member(_u20749), _u20753), _u20752)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20749, _u20750, _u20752, _u20751), hAPP(_u20751, _u20753)) = _u20753) )).
% 29.00/29.27 cnf(matrix-8283, plain, ( ~c_Fun_Oinj__on(_u20754, _u20755, _u20756, c_Orderings_Otop__class_Otop(tc_fun(_u20754, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20754, _u20755, c_Orderings_Otop__class_Otop(tc_fun(_u20754, tc_HOL_Obool)), _u20756), hAPP(_u20756, _u20757)) = _u20757) )).
% 29.00/29.27 cnf(matrix-8284, plain, ( ~c_Fun_Oinj__on(_u20758, _u20759, _u20760, c_Orderings_Otop__class_Otop(tc_fun(_u20758, tc_HOL_Obool))) | ( hAPP(_u20760, _u20761) != _u20762) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20758, _u20759, c_Orderings_Otop__class_Otop(tc_fun(_u20758, tc_HOL_Obool)), _u20760), _u20762) = _u20761) )).
% 29.00/29.27 cnf(matrix-8285, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20763, _u20764, _u20765, _u20766), _u20767) = c_Hilbert__Choice_OEps(_u20763, hAPP(hAPP(c_COMBS(_u20763, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20763), c_fconj), hAPP(hAPP(c_COMBC(_u20763, tc_fun(_u20763, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20763)), _u20765))), hAPP(hAPP(c_COMBC(_u20763, _u20764, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20764, tc_fun(_u20764, tc_HOL_Obool), _u20763), c_fequal), _u20766)), _u20767)))) )).
% 29.00/29.27 cnf(matrix-8286, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20768, _u20769, c_Orderings_Otop__class_Otop(tc_fun(_u20768, tc_HOL_Obool)), _u20770), _u20771) = c_Hilbert__Choice_OEps(_u20768, hAPP(hAPP(c_COMBC(_u20768, _u20769, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20769, tc_fun(_u20769, tc_HOL_Obool), _u20768), c_fequal), _u20770)), _u20771))) )).
% 29.00/29.27 cnf(matrix-8287, plain, ( ~c_Fun_Oinj__on(_u20772, _u20773, _u20774, hAPP(c_Set_Oimage(_u20775, _u20772, _u20776), _u20777)) | ~c_Fun_Oinj__on(_u20775, _u20772, _u20776, _u20777) | ~hBOOL(hAPP(hAPP(c_member(_u20773), _u20778), hAPP(c_Set_Oimage(_u20772, _u20773, _u20774), hAPP(c_Set_Oimage(_u20775, _u20772, _u20776), _u20777)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20775, _u20773, _u20777, hAPP(c_Fun_Ocomp(_u20772, _u20773, _u20775, _u20774), _u20776)), _u20778) = hAPP(hAPP(c_Fun_Ocomp(_u20772, _u20775, _u20773, c_Hilbert__Choice_Oinv__into(_u20775, _u20772, _u20777, _u20776)), c_Hilbert__Choice_Oinv__into(_u20772, _u20773, hAPP(c_Set_Oimage(_u20775, _u20772, _u20776), _u20777), _u20774)), _u20778)) )).
% 29.00/29.27 cnf(matrix-8288, plain, ( ( hAPP(c_Set_Oimage(_u20782, _u20784, _u20786), c_Orderings_Otop__class_Otop(tc_fun(_u20782, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20784, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20782, _u20784, _u20784, _u20786), c_Hilbert__Choice_Oinv__into(_u20782, _u20784, c_Orderings_Otop__class_Otop(tc_fun(_u20782, tc_HOL_Obool)), _u20786)) = c_Fun_Oid(_u20784)) )).
% 29.00/29.27 cnf(matrix-8289, plain, ( ( hAPP(c_Fun_Ocomp(_u20783, _u20785, _u20785, _u20787), c_Hilbert__Choice_Oinv__into(_u20783, _u20785, c_Orderings_Otop__class_Otop(tc_fun(_u20783, tc_HOL_Obool)), _u20787)) != c_Fun_Oid(_u20785)) | ( hAPP(c_Set_Oimage(_u20783, _u20785, _u20787), c_Orderings_Otop__class_Otop(tc_fun(_u20783, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20785, tc_HOL_Obool))) )).
% 29.00/29.27 cnf(matrix-8290, plain, ( ~c_Fun_Oinj__on(_u20789, _u20790, _u20791, c_Orderings_Otop__class_Otop(tc_fun(_u20789, tc_HOL_Obool))) | hBOOL(hAPP(_u20792, _u20793)) | hBOOL(hAPP(hAPP(c_member(_u20790), skolem571(_u20793, _u20792, _u20791, _u20790, _u20789)), hAPP(c_Set_Oimage(_u20789, _u20790, _u20791), c_Orderings_Otop__class_Otop(tc_fun(_u20789, tc_HOL_Obool))))) )).
% 29.00/29.27 cnf(matrix-8291, plain, ( ~c_Fun_Oinj__on(_u20789, _u20790, _u20791, c_Orderings_Otop__class_Otop(tc_fun(_u20789, tc_HOL_Obool))) | hBOOL(hAPP(_u20792, _u20793)) | ~hBOOL(hAPP(_u20792, hAPP(c_Hilbert__Choice_Oinv__into(_u20789, _u20790, c_Orderings_Otop__class_Otop(tc_fun(_u20789, tc_HOL_Obool)), _u20791), skolem571(_u20793, _u20792, _u20791, _u20790, _u20789)))) )).
% 29.00/29.27 cnf(matrix-8292, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) )).
% 29.00/29.27 cnf(matrix-8293, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) )).
% 29.00/29.27 cnf(matrix-8294, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | ( skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797) != skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)) )).
% 29.00/29.27 cnf(matrix-8295, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20800, tc_HOL_Obool)), hAPP(_u20801, skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797))), hAPP(_u20801, skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797))) != c_Orderings_Obot__class_Obot(tc_fun(_u20800, tc_HOL_Obool))) )).
% 29.00/29.27 cnf(matrix-8296, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20800), hAPP(_u20801, skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) )).
% 29.00/29.27 cnf(matrix-8297, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20800), hAPP(_u20801, skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | hBOOL(hAPP(hAPP(c_member(_u20798), skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)), _u20799)) )).
% 29.00/29.27 cnf(matrix-8298, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20800), hAPP(_u20801, skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | ( skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797) != skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)) )).
% 29.00/29.27 cnf(matrix-8299, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20797) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20798), _u20799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20800), hAPP(_u20801, skolem572(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20798, tc_fun(_u20800, tc_HOL_Obool)), _u20799), _u20801)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20798, c_Groups_Otimes__class_Otimes(_u20797)), hAPP(hAPP(c_COMBB(tc_fun(_u20800, tc_HOL_Obool), _u20797, _u20798), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20797, _u20800, c_Groups_Otimes__class_Otimes(_u20797)), _u20802), c_Groups_Oone__class_Oone(_u20797))), _u20801)), c_Groups_Oone__class_Oone(_u20797)), _u20799)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20800, tc_HOL_Obool)), hAPP(_u20801, skolem573(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797))), hAPP(_u20801, skolem574(_u20802, _u20801, _u20800, _u20799, _u20798, _u20797))) != c_Orderings_Obot__class_Obot(tc_fun(_u20800, tc_HOL_Obool))) )).
% 29.00/29.27 cnf(matrix-8300, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20804), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20805, hAPP(c_Code__Numeral_Onat__of, skolem575(_u20805, _u20804)))) | hBOOL(hAPP(_u20805, _u20804)) )).
% 29.00/29.27 cnf(matrix-8301, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20807), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20807 = hAPP(c_Code__Numeral_Onat__of, skolem576(_u20807))) )).
% 29.00/29.27 cnf(matrix-8302, plain, ( hBOOL(hAPP(_u20809, _u20810)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem577(_u20810, _u20809)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 29.00/29.27 cnf(matrix-8303, plain, ( hBOOL(hAPP(_u20809, _u20810)) | ~hBOOL(hAPP(_u20809, hAPP(c_Code__Numeral_Oof__nat, skolem577(_u20810, _u20809)))) )).
% 29.00/29.27 cnf(matrix-8304, plain, ( ( _u20812 = hAPP(c_Code__Numeral_Oof__nat, skolem578(_u20812))) )).
% 29.00/29.27 cnf(matrix-8305, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem578(_u20812)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 29.00/29.27 cnf(matrix-8306, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20813, _u20814, _u20815, _u20816, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20814)) = _u20815) )).
% 29.00/29.27 cnf(matrix-8307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20819), _u20821)) | ( c_Quickcheck_Obeyond(_u20819, _u20821) = _u20821) )).
% 29.00/29.27 cnf(matrix-8308, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20820), _u20822)) | ( c_Quickcheck_Obeyond(_u20820, _u20822) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 29.00/29.27 cnf(matrix-8309, plain, ( ( c_Quickcheck_Obeyond(_u20823, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 29.00/29.27 cnf(matrix-8310, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20824, _u20825, _u20826, _u20827, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20825, _u20828, _u20829)) = hAPP(hAPP(hAPP(_u20827, _u20828), _u20829), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20824, _u20825, _u20826, _u20827, _u20829))) )).
% 29.00/29.27 cnf(matrix-8311, plain, ( ~c_Fun_Obij__betw(_u20830, _u20831, _u20832, c_Orderings_Otop__class_Otop(tc_fun(_u20830, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20831, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20830, _u20831, _u20832), hAPP(c_Set_OCollect(_u20830), _u20833)) = hAPP(c_Set_OCollect(_u20831), hAPP(hAPP(c_COMBB(_u20830, tc_HOL_Obool, _u20831), _u20833), c_Hilbert__Choice_Oinv__into(_u20830, _u20831, c_Orderings_Otop__class_Otop(tc_fun(_u20830, tc_HOL_Obool)), _u20832)))) )).
% 29.00/29.27 cnf(matrix-8312, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20834, _u20835, _u20836, _u20837), _u20838), _u20839) = hAPP(_u20837, hAPP(hAPP(c_Product__Type_OPair(_u20834, _u20835), _u20838), _u20839))) )).
% 29.00/29.27 cnf(matrix-8313, plain, ( ~hBOOL(hAPP(_u20840, hAPP(hAPP(c_Product__Type_OPair(_u20841, _u20842), _u20843), _u20844))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20841, _u20842, tc_HOL_Obool, _u20840), _u20843), _u20844)) )).
% 29.00/29.27 cnf(matrix-8314, plain, ( c_Fun_Obij__betw(_u20845, _u20845, c_Fun_Oid(_u20845), _u20846, _u20846) )).
% 29.00/29.27 cnf(matrix-8315, plain, ( ~c_Fun_Obij__betw(_u20847, _u20848, _u20849, c_Orderings_Otop__class_Otop(tc_fun(_u20847, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20848, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20850, _u20847, _u20851, c_Orderings_Otop__class_Otop(tc_fun(_u20850, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20847, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20850, _u20848, c_Orderings_Otop__class_Otop(tc_fun(_u20850, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20847, _u20848, _u20850, _u20849), _u20851)) = hAPP(c_Fun_Ocomp(_u20847, _u20850, _u20848, c_Hilbert__Choice_Oinv__into(_u20850, _u20847, c_Orderings_Otop__class_Otop(tc_fun(_u20850, tc_HOL_Obool)), _u20851)), c_Hilbert__Choice_Oinv__into(_u20847, _u20848, c_Orderings_Otop__class_Otop(tc_fun(_u20847, tc_HOL_Obool)), _u20849))) )).
% 29.00/29.27 cnf(matrix-8316, plain, ( ~c_Fun_Obij__betw(_u20852, _u20853, _u20854, _u20855, _u20856) | ~hBOOL(hAPP(hAPP(c_member(_u20852), _u20857), _u20855)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20853, _u20852, _u20856, c_Hilbert__Choice_Oinv__into(_u20852, _u20853, _u20855, _u20854)), _u20857) = hAPP(_u20854, _u20857)) )).
% 29.00/29.27 cnf(matrix-8317, plain, ( ~c_Fun_Obij__betw(_u20858, _u20859, _u20860, _u20861, _u20862) | c_Fun_Obij__betw(_u20859, _u20858, c_Hilbert__Choice_Oinv__into(_u20858, _u20859, _u20861, _u20860), _u20862, _u20861) )).
% 29.00/29.27 cnf(matrix-8318, plain, ( ~c_Fun_Obij__betw(_u20863, _u20864, _u20865, c_Orderings_Otop__class_Otop(tc_fun(_u20863, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20864, _u20863, c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20863, _u20864, c_Orderings_Otop__class_Otop(tc_fun(_u20863, tc_HOL_Obool)), _u20865)) = _u20865) )).
% 29.00/29.27 cnf(matrix-8319, plain, ( ~c_Fun_Obij__betw(_u20866, _u20867, _u20868, c_Orderings_Otop__class_Otop(tc_fun(_u20866, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20867, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20867, _u20866, c_Hilbert__Choice_Oinv__into(_u20866, _u20867, c_Orderings_Otop__class_Otop(tc_fun(_u20866, tc_HOL_Obool)), _u20868), c_Orderings_Otop__class_Otop(tc_fun(_u20867, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20866, tc_HOL_Obool))) )).
% 29.00/29.27 cnf(matrix-8320, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20869, _u20870, _u20871), c_Product__Type_Ocurry(_u20869, _u20870, _u20871, _u20872)) = _u20872) )).
% 29.00/29.27 cnf(matrix-8321, plain, ( ( c_Product__Type_Ocurry(_u20873, _u20874, _u20875, hAPP(c_Product__Type_Oprod_Oprod__case(_u20873, _u20874, _u20875), _u20876)) = _u20876) )).
% 29.00/29.27 cnf(matrix-8322, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20877, tc_HOL_Obool)), _u20878), _u20879) != c_Orderings_Obot__class_Obot(tc_fun(_u20877, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20880, tc_HOL_Obool)), _u20881), _u20882) != c_Orderings_Obot__class_Obot(tc_fun(_u20880, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20877, _u20880, _u20883, _u20878, _u20881) | ~c_Fun_Obij__betw(_u20877, _u20880, _u20883, _u20879, _u20882) | c_Fun_Obij__betw(_u20877, _u20880, _u20883, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20877, tc_HOL_Obool)), _u20878), _u20879), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20880, tc_HOL_Obool)), _u20881), _u20882)) )).
% 29.00/29.27 cnf(matrix-8323, plain, ( ~c_Fun_Obij__betw(_u20884, _u20885, _u20886, _u20887, _u20888) | ~c_Fun_Obij__betw(_u20884, _u20885, _u20886, _u20889, _u20890) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20885, tc_HOL_Obool)), _u20888), _u20890) != c_Orderings_Obot__class_Obot(tc_fun(_u20885, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20884, _u20885, _u20886, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20884, tc_HOL_Obool)), _u20887), _u20889), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20885, tc_HOL_Obool)), _u20888), _u20890)) )).
% 29.00/29.27 cnf(matrix-8324, plain, ( ~c_Fun_Obij__betw(_u20891, _u20892, _u20893, _u20894, _u20895) | c_Fun_Oinj__on(_u20891, _u20892, _u20893, _u20894) )).
% 29.00/29.27 cnf(matrix-8325, plain, ( ~c_Fun_Obij__betw(_u20896, _u20897, _u20898, c_Orderings_Otop__class_Otop(tc_fun(_u20896, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20897, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20896, _u20897, _u20898, c_Orderings_Otop__class_Otop(tc_fun(_u20896, tc_HOL_Obool))) )).
% 29.00/29.27 cnf(matrix-8326, plain, ( ( _u20904 = _u20906) | ~c_Fun_Obij__betw(_u20902, _u20902, c_Fun_Oid(_u20902), _u20904, _u20906) )).
% 29.00/29.27 cnf(matrix-8327, plain, ( ( _u20905 != _u20907) | c_Fun_Obij__betw(_u20903, _u20903, c_Fun_Oid(_u20903), _u20905, _u20907) )).
% 29.00/29.27 cnf(matrix-8328, plain, ( c_Fun_Obij__betw(_u20908, _u20908, c_Fun_Oid(_u20908), c_Orderings_Otop__class_Otop(tc_fun(_u20908, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20908, tc_HOL_Obool))) )).
% 29.00/29.27 cnf(matrix-8329, plain, ( ( _u20912 = c_Orderings_Obot__class_Obot(tc_fun(_u20910, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20909, _u20910, _u20911, c_Orderings_Obot__class_Obot(tc_fun(_u20909, tc_HOL_Obool)), _u20912) )).
% 29.00/29.27 cnf(matrix-8330, plain, ( ~c_Fun_Obij__betw(_u20913, _u20914, _u20915, _u20916, c_Orderings_Obot__class_Obot(tc_fun(_u20914, tc_HOL_Obool))) | ( _u20916 = c_Orderings_Obot__class_Obot(tc_fun(_u20913, tc_HOL_Obool))) )).
% 29.00/29.27 cnf(matrix-8331, plain, ( ~c_Fun_Obij__betw(_u20917, _u20918, _u20919, _u20920, _u20921) | ( hAPP(c_Finite__Set_Ocard(_u20917), _u20920) = hAPP(c_Finite__Set_Ocard(_u20918), _u20921)) )).
% 29.00/29.27 cnf(matrix-8332, plain, ( ~c_Fun_Obij__betw(_u20922, _u20923, _u20924, _u20925, _u20926) | c_Fun_Obij__betw(_u20923, _u20922, c_Fun_Othe__inv__into(_u20922, _u20923, _u20925, _u20924), _u20926, _u20925) )).
% 29.00/29.27 cnf(matrix-8333, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20929), _u20930)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20931), _u20932)) | ~c_Fun_Obij__betw(_u20929, _u20931, _u20927, _u20930, _u20932) | ( hAPP(c_Finite__Set_Ocard(_u20929), _u20930) = hAPP(c_Finite__Set_Ocard(_u20931), _u20932)) )).
% 29.00/29.27 cnf(matrix-8334, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20929), _u20930)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20931), _u20932)) | ( hAPP(c_Finite__Set_Ocard(_u20929), _u20930) != hAPP(c_Finite__Set_Ocard(_u20931), _u20932)) | c_Fun_Obij__betw(_u20929, _u20931, skolem579(_u20932, _u20931, _u20930, _u20929), _u20930, _u20932) )).
% 29.00/29.27 cnf(matrix-8335, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8336, plain, ( ~class_Lattices_Obounded__lattice(_u20933) | class_Lattices_Obounded__lattice(tc_fun(_u20934, _u20933)) )).
% 29.00/29.27 cnf(matrix-8337, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20935) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20936, _u20935)) )).
% 29.00/29.27 cnf(matrix-8338, plain, ( ~class_Lattices_Obounded__lattice(_u20937) | class_Lattices_Obounded__lattice__top(tc_fun(_u20938, _u20937)) )).
% 29.00/29.27 cnf(matrix-8339, plain, ( ~class_Lattices_Obounded__lattice(_u20939) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20940, _u20939)) )).
% 29.00/29.27 cnf(matrix-8340, plain, ( ~class_Lattices_Olattice(_u20941) | class_Lattices_Osemilattice__sup(tc_fun(_u20942, _u20941)) )).
% 29.00/29.27 cnf(matrix-8341, plain, ( ~class_Lattices_Olattice(_u20943) | class_Lattices_Osemilattice__inf(tc_fun(_u20944, _u20943)) )).
% 29.00/29.27 cnf(matrix-8342, plain, ( ~class_Lattices_Odistrib__lattice(_u20945) | class_Lattices_Odistrib__lattice(tc_fun(_u20946, _u20945)) )).
% 29.00/29.27 cnf(matrix-8343, plain, ( ~class_Lattices_Oboolean__algebra(_u20947) | class_Lattices_Oboolean__algebra(tc_fun(_u20948, _u20947)) )).
% 29.00/29.27 cnf(matrix-8344, plain, ( ~class_Orderings_Opreorder(_u20949) | class_Orderings_Opreorder(tc_fun(_u20950, _u20949)) )).
% 29.00/29.27 cnf(matrix-8345, plain, ( ~class_Finite__Set_Ofinite(_u20951) | ~class_Finite__Set_Ofinite(_u20952) | class_Finite__Set_Ofinite(tc_fun(_u20951, _u20952)) )).
% 29.00/29.27 cnf(matrix-8346, plain, ( ~class_Lattices_Olattice(_u20953) | class_Lattices_Olattice(tc_fun(_u20954, _u20953)) )).
% 29.00/29.27 cnf(matrix-8347, plain, ( ~class_Orderings_Oorder(_u20955) | class_Orderings_Oorder(tc_fun(_u20956, _u20955)) )).
% 29.00/29.27 cnf(matrix-8348, plain, ( ~class_Orderings_Otop(_u20957) | class_Orderings_Otop(tc_fun(_u20958, _u20957)) )).
% 29.00/29.27 cnf(matrix-8349, plain, ( ~class_Orderings_Oord(_u20959) | class_Orderings_Oord(tc_fun(_u20960, _u20959)) )).
% 29.00/29.27 cnf(matrix-8350, plain, ( ~class_Orderings_Obot(_u20961) | class_Orderings_Obot(tc_fun(_u20962, _u20961)) )).
% 29.00/29.27 cnf(matrix-8351, plain, ( ~class_Groups_Ouminus(_u20963) | class_Groups_Ouminus(tc_fun(_u20964, _u20963)) )).
% 29.00/29.27 cnf(matrix-8352, plain, ( ~class_Groups_Ominus(_u20965) | class_Groups_Ominus(tc_fun(_u20966, _u20965)) )).
% 29.00/29.27 cnf(matrix-8353, plain, ( ~class_Enum_Oenum(_u20967) | ~class_Enum_Oenum(_u20968) | class_Enum_Oenum(tc_fun(_u20967, _u20968)) )).
% 29.00/29.27 cnf(matrix-8354, plain, ( class_Nat_Osize(tc_Com_Ocom) )).
% 29.00/29.27 cnf(matrix-8355, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8356, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8357, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8358, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8359, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8360, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8361, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8362, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8363, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8364, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8365, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8366, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8367, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8368, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8369, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8370, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8371, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8372, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8373, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8374, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8375, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8376, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8377, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8378, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8379, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8380, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8381, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8382, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8383, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8384, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8385, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8386, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8387, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8388, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8389, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8390, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8391, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8392, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8393, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8394, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8395, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8396, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8397, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8398, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8399, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8400, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8401, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8402, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8403, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8404, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8405, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8406, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8407, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8408, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8409, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8410, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8411, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8412, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8413, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8414, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8415, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8416, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8417, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8418, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8419, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8420, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8421, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8422, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8423, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8424, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 29.00/29.27 cnf(matrix-8425, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8426, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8427, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8428, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8429, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8430, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8431, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8432, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8433, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8434, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8435, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8436, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8437, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8438, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8439, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8440, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8441, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8442, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8443, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8444, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8445, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8446, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8447, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8448, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8449, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8450, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8451, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8452, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8453, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8454, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8455, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8456, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8457, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8458, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8459, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8460, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8461, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8462, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8463, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8464, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8465, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8466, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8467, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8468, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8469, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8470, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8471, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8472, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 29.00/29.27 cnf(matrix-8473, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8474, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8475, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8476, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8477, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8478, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8479, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8480, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8481, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8482, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8483, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8484, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8485, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8486, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8487, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8488, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8489, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8490, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 29.00/29.27 cnf(matrix-8491, plain, ( class_Nat_Osize(tc_Com_Ostate) )).
% 29.00/29.27 cnf(matrix-8492, plain, ( class_Nat_Osize(tc_Com_Ovname) )).
% 29.00/29.27 cnf(matrix-8493, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20969) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20969)) )).
% 29.00/29.27 cnf(matrix-8494, plain, ( class_Nat_Osize(tc_List_Olist(_u20970)) )).
% 29.00/29.27 cnf(matrix-8495, plain, ( ~class_Finite__Set_Ofinite(_u20971) | ~class_Finite__Set_Ofinite(_u20972) | class_Finite__Set_Ofinite(tc_sum(_u20971, _u20972)) )).
% 29.00/29.27 cnf(matrix-8496, plain, ( ~class_Enum_Oenum(_u20973) | ~class_Enum_Oenum(_u20974) | class_Enum_Oenum(tc_sum(_u20973, _u20974)) )).
% 29.00/29.27 cnf(matrix-8497, plain, ( class_Nat_Osize(tc_sum(_u20975, _u20976)) )).
% 29.00/29.27 cnf(matrix-8498, plain, ( ~class_Finite__Set_Ofinite(_u20977) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20977)) )).
% 29.00/29.27 cnf(matrix-8499, plain, ( ~class_Enum_Oenum(_u20978) | class_Enum_Oenum(tc_Option_Ooption(_u20978)) )).
% 29.00/29.27 cnf(matrix-8500, plain, ( class_Nat_Osize(tc_Option_Ooption(_u20979)) )).
% 29.00/29.27 cnf(matrix-8501, plain, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20980, _u20981)) )).
% 29.00/29.27 cnf(matrix-8502, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20982) | ~class_Lazy__Sequence_Osmall__lazy(_u20983) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20982, _u20983)) )).
% 29.00/29.27 cnf(matrix-8503, plain, ( ~class_Finite__Set_Ofinite(_u20984) | ~class_Finite__Set_Ofinite(_u20985) | class_Finite__Set_Ofinite(tc_prod(_u20984, _u20985)) )).
% 29.00/29.27 cnf(matrix-8504, plain, ( ~class_Enum_Oenum(_u20986) | ~class_Enum_Oenum(_u20987) | class_Enum_Oenum(tc_prod(_u20986, _u20987)) )).
% 29.00/29.27 cnf(matrix-8505, plain, ( class_Nat_Osize(tc_prod(_u20988, _u20989)) )).
% 29.00/29.27 cnf(matrix-8506, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 29.00/29.27 cnf(matrix-8507, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 29.00/29.27 cnf(matrix-8508, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 29.00/29.27 cnf(matrix-8509, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 29.00/29.27 cnf(matrix-8510, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 29.00/29.27 cnf(matrix-8511, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20990)) )).
% 29.00/29.27 cnf(matrix-8512, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8513, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8514, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8515, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8516, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8517, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8518, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8519, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8520, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8521, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8522, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8523, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8524, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8525, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8526, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8527, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8528, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8529, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8530, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8531, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8532, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8533, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8534, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8535, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8536, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8537, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8538, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8539, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8540, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8541, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8542, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8543, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8544, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8545, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8546, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8547, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8548, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8549, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8550, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8551, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8552, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 29.00/29.27 cnf(matrix-8553, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20991)) )).
% 29.00/29.27 cnf(matrix-8554, plain, ( ( hAPP(c_COMBI(_u20992), _u20993) = _u20993) )).
% 29.00/29.27 cnf(matrix-8555, plain, ( ( hAPP(hAPP(c_COMBK(_u20994, _u20995), _u20996), _u20997) = _u20996) )).
% 29.00/29.27 cnf(matrix-8556, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20998, _u20999, _u21000), _u21001), _u21002), _u21003) = hAPP(_u21001, hAPP(_u21002, _u21003))) )).
% 29.00/29.27 cnf(matrix-8557, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u21004, _u21005, _u21006), _u21007), _u21008), _u21009) = hAPP(hAPP(_u21007, _u21009), _u21008)) )).
% 29.00/29.27 cnf(matrix-8558, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u21010, _u21011, _u21012), _u21013), _u21014), _u21015) = hAPP(hAPP(_u21013, _u21015), hAPP(_u21014, _u21015))) )).
% 29.00/29.27 cnf(matrix-8559, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u21016), _u21017)) | ( _u21016 = _u21017) )).
% 29.00/29.27 cnf(matrix-8560, plain, ( ( _u21018 != _u21019) | hBOOL(hAPP(hAPP(c_fequal, _u21018), _u21019)) )).
% 29.00/29.27 cnf(matrix-8561, plain, ( ~hBOOL(c_fFalse) )).
% 29.00/29.27 cnf(matrix-8562, plain, ( hBOOL(c_fTrue) )).
% 29.00/29.27 cnf(matrix-8563, plain, ( ~hBOOL(hAPP(c_fNot, _u21020)) | ~hBOOL(_u21020) )).
% 29.00/29.27 cnf(matrix-8564, plain, ( hBOOL(_u21021) | hBOOL(hAPP(c_fNot, _u21021)) )).
% 29.00/29.27 cnf(matrix-8565, plain, ( ~hBOOL(_u21023) | ~hBOOL(_u21022) | hBOOL(hAPP(hAPP(c_fconj, _u21022), _u21023)) )).
% 29.00/29.27 cnf(matrix-8566, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u21024), _u21025)) | hBOOL(_u21024) )).
% 29.00/29.27 cnf(matrix-8567, plain, ( hBOOL(_u21027) | ~hBOOL(hAPP(hAPP(c_fconj, _u21026), _u21027)) )).
% 29.00/29.27 cnf(matrix-8568, plain, ( ~hBOOL(_u21028) | hBOOL(hAPP(hAPP(c_fdisj, _u21028), _u21029)) )).
% 29.00/29.27 cnf(matrix-8569, plain, ( ~hBOOL(_u21030) | hBOOL(hAPP(hAPP(c_fdisj, _u21031), _u21030)) )).
% 29.00/29.27 cnf(matrix-8570, plain, ( hBOOL(_u21033) | ~hBOOL(hAPP(hAPP(c_fdisj, _u21032), _u21033)) | hBOOL(_u21032) )).
% 29.00/29.27 cnf(matrix-8571, plain, ( hBOOL(_u21034) | hBOOL(hAPP(hAPP(c_fimplies, _u21034), _u21035)) )).
% 29.00/29.27 cnf(matrix-8572, plain, ( ~hBOOL(_u21036) | hBOOL(hAPP(hAPP(c_fimplies, _u21037), _u21036)) )).
% 29.00/29.27 cnf(matrix-8573, plain, ( hBOOL(_u21039) | ~hBOOL(hAPP(hAPP(c_fimplies, _u21038), _u21039)) | ~hBOOL(_u21038) )).
% 29.00/29.27 cnf(matrix-8574, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 29.00/29.27 cnf(matrix-8575, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Com_Ocom_OBODY, v_pn)), v_Q)), v_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 29.00/29.27
% 29.00/29.27 % Proof stack:
% 29.00/29.27 cnf(proof-stack, plain,
% 29.00/29.27 proof_stack(
% 29.00/29.27 start(8575),
% 29.00/29.27 left_branch(0, 2132, 2, 2),
% 29.00/29.27 left_branch(0, 8574, 0, 3),
% 29.00/29.27 right_branch(3),
% 29.00/29.27 left_branch(0, 2076, 0, 4),
% 29.00/29.27 right_branch(4),
% 29.00/29.27 right_branch(2)
% 29.00/29.27 )).
% 29.00/29.27 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------